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 |
|---|---|---|---|---|---|---|
((c>o)&(a&j)) | (~(((d&~((((j>a)&k)&e)))|(r>c)))|(d|j)) | 1 | 0 | 0 | 0 | entailment |
((c&q)&((r|c)&(e|~(j)))) | (((f|k)&f)|c) | 1 | 1 | 0 | 0 | entailment |
((c>o)&(a&j)) | (((f|k)&f)|c) | 0 | 1 | 0 | 0 | not entailment |
((c&q)&((r|c)&(e|~(j)))) | (~(((d&~((((j>a)&k)&e)))|(r>c)))|(d|j)) | 0 | 0 | 0 | 0 | not entailment |
(m&(((((m>m)&(m|((m&m)>m)))|m)&m)|~(m))) | ~(~(((m>m)>m))) | 1 | 1 | 1 | 1 | entailment |
(m>~((m&m))) | ~(((m>(m&m))&m)) | 1 | 0 | 1 | 0 | entailment |
(m&(((((m>m)&(m|((m&m)>m)))|m)&m)|~(m))) | ~(((m>(m&m))&m)) | 0 | 1 | 1 | 1 | not entailment |
(m>~((m&m))) | ~(~(((m>m)>m))) | 0 | 0 | 1 | 0 | not entailment |
(m|m) | ((m&m)|m) | 1 | 0 | 1 | 1 | entailment |
((~(m)&~(m))&~(m)) | ~((m&m)) | 1 | 1 | 1 | 1 | entailment |
(m|m) | ~((m&m)) | 0 | 0 | 1 | 0 | not entailment |
((~(m)&~(m))&~(m)) | ((m&m)|m) | 0 | 1 | 1 | 0 | not entailment |
(m&(m|((m|((m|(m>m))&m))>m))) | ((m|m)&(m|(m|((((m>m)>m)>m)|m)))) | 1 | 0 | 1 | 1 | entailment |
~(((((m>m)|m)>m)&((m|m)&(m|m)))) | (~(~(~(m)))&(~(m)|(m&m))) | 1 | 1 | 1 | 1 | entailment |
(m&(m|((m|((m|(m>m))&m))>m))) | (~(~(~(m)))&(~(m)|(m&m))) | 0 | 1 | 1 | 1 | not entailment |
~(((((m>m)|m)>m)&((m|m)&(m|m)))) | ((m|m)&(m|(m|((((m>m)>m)>m)|m)))) | 0 | 1 | 1 | 1 | not entailment |
((((m>m)&(m&m))&(m>(m|m)))&m) | (m&(m|m)) | 1 | 1 | 1 | 1 | entailment |
~((m|m)) | ~(((((m>((~(m)&m)&m))|m)|m)&m)) | 1 | 0 | 1 | 0 | entailment |
((((m>m)&(m&m))&(m>(m|m)))&m) | ~(((((m>((~(m)&m)&m))|m)|m)&m)) | 0 | 0 | 1 | 1 | not entailment |
~((m|m)) | (m&(m|m)) | 0 | 1 | 1 | 0 | not entailment |
(m&m) | ((m|m)|m) | 1 | 0 | 1 | 1 | entailment |
~((m&m)) | (~(m)&(m>m)) | 1 | 0 | 1 | 0 | entailment |
(m&m) | (~(m)&(m>m)) | 0 | 0 | 1 | 0 | not entailment |
~((m&m)) | ((m|m)|m) | 0 | 1 | 1 | 0 | not entailment |
~(((((g>(z|h))&((y|h)>g))>(h&(l|y)))|h)) | (f>~(~(~(h)))) | 1 | 1 | 0 | 0 | entailment |
((g|~((y|~((g|s)))))&(z&f)) | ((l>f)|(~((l&s))|(((p|g)|h)>y))) | 1 | 0 | 0 | 0 | entailment |
~(((((g>(z|h))&((y|h)>g))>(h&(l|y)))|h)) | ((l>f)|(~((l&s))|(((p|g)|h)>y))) | 0 | 1 | 0 | 0 | not entailment |
((g|~((y|~((g|s)))))&(z&f)) | (f>~(~(~(h)))) | 0 | 1 | 0 | 0 | not entailment |
((~((g&h))&(g>s))&~((~(f)>~((h>f))))) | (~((z&h))>(f>(p|~(~(g))))) | 1 | 1 | 0 | 0 | entailment |
(((h|l)&f)&~(~(((l&l)&h)))) | ((((h&l)>f)&(h|z))>(l&h)) | 1 | 1 | 0 | 0 | entailment |
((~((g&h))&(g>s))&~((~(f)>~((h>f))))) | ((((h&l)>f)&(h|z))>(l&h)) | 0 | 1 | 0 | 0 | not entailment |
(((h|l)&f)&~(~(((l&l)&h)))) | (~((z&h))>(f>(p|~(~(g))))) | 0 | 1 | 0 | 0 | not entailment |
~((((p>s)&(g>g))>(~(z)|y))) | (y>(y>s)) | 1 | 1 | 1 | 1 | entailment |
(~(((y&z)|l))&~((g&(f|h)))) | (((l&p)>((g|g)&y))|(((y&h)&(l&f))|h)) | 1 | 0 | 0 | 0 | entailment |
~((((p>s)&(g>g))>(~(z)|y))) | (((l&p)>((g|g)&y))|(((y&h)&(l&f))|h)) | 0 | 0 | 0 | 0 | not entailment |
(~(((y&z)|l))&~((g&(f|h)))) | (y>(y>s)) | 0 | 1 | 0 | 0 | not entailment |
~(l) | (((g&p)&l)>((y>s)>(y>f))) | 1 | 0 | 0 | 0 | entailment |
(l&((h|((p&g)&s))|(s&~((l|f))))) | (((p&(y&f))>(~((z>h))>g))>(l&(h|l))) | 1 | 0 | 0 | 0 | entailment |
~(l) | (((p&(y&f))>(~((z>h))>g))>(l&(h|l))) | 0 | 0 | 0 | 0 | not entailment |
(l&((h|((p&g)&s))|(s&~((l|f))))) | (((g&p)&l)>((y>s)>(y>f))) | 0 | 1 | 0 | 0 | not entailment |
(g>~(g)) | ((l>g)>(g>h)) | 1 | 0 | 0 | 0 | entailment |
(~(y)&(~((h|z))&~((l>f)))) | ~((((~(f)>(p|h))&(f&y))|h)) | 1 | 1 | 0 | 0 | entailment |
(g>~(g)) | ~((((~(f)>(p|h))&(f&y))|h)) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&(~((h|z))&~((l>f)))) | ((l>g)>(g>h)) | 0 | 1 | 0 | 0 | not entailment |
~(((p&l)|(~(p)|h))) | ((~(z)&~((l>(p>s))))>((h|g)&(y>l))) | 1 | 0 | 0 | 0 | entailment |
~((~(~(h))|(g|z))) | (g>l) | 1 | 1 | 0 | 0 | entailment |
~(((p&l)|(~(p)|h))) | (g>l) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(h))|(g|z))) | ((~(z)&~((l>(p>s))))>((h|g)&(y>l))) | 0 | 0 | 0 | 0 | not entailment |
(((p|(~(p)|(g>y)))|g)&((h|(f>g))&(l&s))) | (h|(l|(s>p))) | 1 | 1 | 1 | 0 | entailment |
~(~(((g&(l>p))&(p>l)))) | ((f&(z&l))|(g|h)) | 1 | 1 | 0 | 0 | entailment |
(((p|(~(p)|(g>y)))|g)&((h|(f>g))&(l&s))) | ((f&(z&l))|(g|h)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((g&(l>p))&(p>l)))) | (h|(l|(s>p))) | 0 | 1 | 0 | 0 | not entailment |
(~((((s>h)|(z>p))|(h&p)))|((s|g)&f)) | (~(z)>f) | 1 | 1 | 1 | 1 | entailment |
((~((l&s))&(((p>l)&f)&p))|(h&(y|h))) | (l|h) | 1 | 1 | 1 | 1 | entailment |
(~((((s>h)|(z>p))|(h&p)))|((s|g)&f)) | (l|h) | 0 | 1 | 0 | 0 | not entailment |
((~((l&s))&(((p>l)&f)&p))|(h&(y|h))) | (~(z)>f) | 0 | 1 | 0 | 0 | not entailment |
((p&~(f))&~(((p&~((g>y)))|(l|g)))) | ~(((y&(s|(~(~(s))>g)))&g)) | 1 | 1 | 0 | 0 | entailment |
((s&((g>s)&(y&h)))|(h&h)) | (((y|f)&(y|((s|s)>y)))|h) | 1 | 1 | 0 | 0 | entailment |
((p&~(f))&~(((p&~((g>y)))|(l|g)))) | (((y|f)&(y|((s|s)>y)))|h) | 0 | 1 | 0 | 0 | not entailment |
((s&((g>s)&(y&h)))|(h&h)) | ~(((y&(s|(~(~(s))>g)))&g)) | 0 | 0 | 1 | 0 | not entailment |
~(z) | (g>(~(~(((p|p)>y)))>(z>(l>~(f))))) | 1 | 0 | 0 | 0 | entailment |
(l&h) | (~((l&~((h&((g|y)&f)))))|(l&h)) | 1 | 0 | 0 | 0 | entailment |
~(z) | (~((l&~((h&((g|y)&f)))))|(l&h)) | 0 | 0 | 0 | 0 | not entailment |
(l&h) | (g>(~(~(((p|p)>y)))>(z>(l>~(f))))) | 0 | 0 | 0 | 0 | not entailment |
(y|f) | ((f|(p>y))|~((~((y>(p>s)))>~(p)))) | 1 | 0 | 0 | 0 | entailment |
((y|h)&~(((f|(h>y))|((s>f)&~(l))))) | (~(~((h>y)))>((~(g)>s)>~(h))) | 1 | 1 | 0 | 0 | entailment |
(y|f) | (~(~((h>y)))>((~(g)>s)>~(h))) | 0 | 0 | 0 | 0 | not entailment |
((y|h)&~(((f|(h>y))|((s>f)&~(l))))) | ((f|(p>y))|~((~((y>(p>s)))>~(p)))) | 0 | 1 | 0 | 0 | not entailment |
((f&g)&(s&g)) | (s>f) | 1 | 1 | 1 | 0 | entailment |
(~(l)&~(((y&s)|((h&f)&(p|l))))) | ((((h|h)&h)|(h&h))|~(l)) | 1 | 1 | 1 | 0 | entailment |
((f&g)&(s&g)) | ((((h|h)&h)|(h&h))|~(l)) | 0 | 0 | 0 | 0 | not entailment |
(~(l)&~(((y&s)|((h&f)&(p|l))))) | (s>f) | 0 | 1 | 1 | 0 | not entailment |
~((g|y)) | (g>(z>y)) | 1 | 1 | 0 | 0 | entailment |
~((((((l|f)|g)>l)|(f&h))&(p|(s>s)))) | ((f&h)>(((~((~(h)>p))|y)|g)&g)) | 1 | 1 | 0 | 0 | entailment |
~((g|y)) | ((f&h)>(((~((~(h)>p))|y)|g)&g)) | 0 | 0 | 0 | 0 | not entailment |
~((((((l|f)|g)>l)|(f&h))&(p|(s>s)))) | (g>(z>y)) | 0 | 1 | 0 | 0 | not entailment |
~((((f>l)|z)|h)) | ((h>z)|s) | 1 | 1 | 0 | 0 | entailment |
((~(~(p))>(f>l))&(y&f)) | ((y&s)|(s>g)) | 1 | 1 | 0 | 0 | entailment |
~((((f>l)|z)|h)) | ((y&s)|(s>g)) | 0 | 1 | 0 | 0 | not entailment |
((~(~(p))>(f>l))&(y&f)) | ((h>z)|s) | 0 | 1 | 0 | 0 | not entailment |
(((l>h)>(g|y))&(s&l)) | (~((f|s))|((s>l)|f)) | 1 | 1 | 0 | 0 | entailment |
((f|z)>(~(~(~(z)))&(h|s))) | ~(z) | 1 | 1 | 1 | 1 | entailment |
(((l>h)>(g|y))&(s&l)) | ~(z) | 0 | 1 | 0 | 0 | not entailment |
((f|z)>(~(~(~(z)))&(h|s))) | (~((f|s))|((s>l)|f)) | 0 | 1 | 0 | 0 | not entailment |
(~(i)&(l&~(~(((l&i)>l))))) | (l&((l&(l|l))>l)) | 1 | 1 | 1 | 1 | entailment |
(~((~(((l|i)|~(l)))&((i|l)&(l|i))))&i) | (((l&i)&(i|i))|(i&((l>(i>i))|l))) | 1 | 1 | 1 | 1 | entailment |
(~(i)&(l&~(~(((l&i)>l))))) | (((l&i)&(i|i))|(i&((l>(i>i))|l))) | 0 | 0 | 1 | 0 | not entailment |
(~((~(((l|i)|~(l)))&((i|l)&(l|i))))&i) | (l&((l&(l|l))>l)) | 0 | 1 | 1 | 1 | not entailment |
~(~(((i>(i|l))&l))) | ((~(i)>l)&l) | 1 | 1 | 1 | 1 | entailment |
~(((((l|l)|l)&(l>l))|((i|i)>(i>l)))) | (((i>((i>i)|i))|(~(l)|((l|l)&l)))&i) | 1 | 1 | 1 | 0 | entailment |
~(~(((i>(i|l))&l))) | (((i>((i>i)|i))|(~(l)|((l|l)&l)))&i) | 0 | 0 | 1 | 0 | not entailment |
~(((((l|l)|l)&(l>l))|((i|i)>(i>l)))) | ((~(i)>l)&l) | 0 | 1 | 1 | 1 | not entailment |
(((~(~(i))&(l&i))&i)|(l|i)) | (((l|l)&(~((i>i))>i))|((l|i)&i)) | 1 | 0 | 1 | 0 | entailment |
((l&l)>(~((i|(l>l)))&((i|l)&l))) | ((l&i)|~((l|l))) | 1 | 1 | 1 | 1 | entailment |
(((~(~(i))&(l&i))&i)|(l|i)) | ((l&i)|~((l|l))) | 0 | 1 | 1 | 0 | not entailment |
((l&l)>(~((i|(l>l)))&((i|l)&l))) | (((l|l)&(~((i>i))>i))|((l|i)&i)) | 0 | 1 | 1 | 1 | not entailment |
~(~(((i|i)&i))) | ~(~(~(((i|(l|l))>(l&~(i)))))) | 1 | 0 | 0 | 0 | entailment |
(l|l) | (l|~(i)) | 1 | 0 | 0 | 0 | entailment |
~(~(((i|i)&i))) | (l|~(i)) | 0 | 1 | 0 | 0 | not entailment |
(l|l) | ~(~(~(((i|(l|l))>(l&~(i)))))) | 0 | 0 | 0 | 0 | not entailment |
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