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 |
|---|---|---|---|---|---|---|
((u&m)&u) | (v|z) | 0 | 1 | 0 | 0 | not entailment |
((((v>y)>s)|y)&v) | (((~((z&~(~(y))))|(m&u))>s)>u) | 0 | 0 | 0 | 0 | not entailment |
((y|u)&(z&~(h))) | ((m&(((h|v)|(u>(y&u)))>m))|(s|z)) | 1 | 0 | 0 | 0 | entailment |
((~(s)>(h|s))&p) | (v|p) | 1 | 1 | 0 | 0 | entailment |
((y|u)&(z&~(h))) | (v|p) | 0 | 1 | 0 | 0 | not entailment |
((~(s)>(h|s))&p) | ((m&(((h|v)|(u>(y&u)))>m))|(s|z)) | 0 | 0 | 0 | 0 | not entailment |
~((c|p)) | ((u|~((c|p)))>~(((c&m)&m))) | 1 | 0 | 0 | 0 | entailment |
((y&((l&u)>(m&c)))&~((l>~(g)))) | (m>g) | 1 | 1 | 1 | 0 | entailment |
~((c|p)) | (m>g) | 0 | 1 | 0 | 0 | not entailment |
((y&((l&u)>(m&c)))&~((l>~(g)))) | ((u|~((c|p)))>~(((c&m)&m))) | 0 | 1 | 0 | 0 | not entailment |
~((((u&(y|z))>(p&y))>(a|(y>p)))) | ~((((~(z)&(p&(u&g)))|a)&~(z))) | 1 | 1 | 0 | 0 | entailment |
(~(c)&l) | (~(~((y>(u|((a|c)&l)))))|(l&l)) | 1 | 0 | 0 | 0 | entailment |
~((((u&(y|z))>(p&y))>(a|(y>p)))) | (~(~((y>(u|((a|c)&l)))))|(l&l)) | 0 | 1 | 0 | 0 | not entailment |
(~(c)&l) | ~((((~(z)&(p&(u&g)))|a)&~(z))) | 0 | 0 | 0 | 0 | not entailment |
(((a|y)&m)&c) | ((c|~((p>((g&z)|z))))>m) | 1 | 0 | 0 | 0 | entailment |
(~(~(a))&g) | (g|a) | 1 | 1 | 1 | 1 | entailment |
(((a|y)&m)&c) | (g|a) | 0 | 1 | 0 | 0 | not entailment |
(~(~(a))&g) | ((c|~((p>((g&z)|z))))>m) | 0 | 0 | 0 | 0 | not entailment |
((g>~(u))&l) | (~(~(((g&(m>a))>(m&(a>l)))))|l) | 1 | 0 | 0 | 0 | entailment |
(~(y)&~(l)) | ~(~((((l>(l>~(c)))&(g|(z&y)))>g))) | 1 | 0 | 0 | 0 | entailment |
((g>~(u))&l) | ~(~((((l>(l>~(c)))&(g|(z&y)))>g))) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&~(l)) | (~(~(((g&(m>a))>(m&(a>l)))))|l) | 0 | 0 | 0 | 0 | not entailment |
(~(m)>c) | ((~((c|m))>z)|~(((l>y)&(p>m)))) | 1 | 0 | 0 | 0 | entailment |
~(((c&(m>u))|y)) | (c>m) | 1 | 1 | 1 | 1 | entailment |
~(((c&(m>u))|y)) | ((~((c|m))>z)|~(((l>y)&(p>m)))) | 0 | 0 | 0 | 0 | not entailment |
(m&(((g&~(c))&(y>a))&l)) | (m>g) | 1 | 1 | 1 | 0 | entailment |
((g>g)&~((g|~((c&z))))) | (c|~((~(~((c&((z|z)>a))))>(l&a)))) | 1 | 0 | 0 | 0 | entailment |
(m&(((g&~(c))&(y>a))&l)) | (c|~((~(~((c&((z|z)>a))))>(l&a)))) | 0 | 0 | 0 | 0 | not entailment |
((g>g)&~((g|~((c&z))))) | (m>g) | 0 | 1 | 0 | 0 | not entailment |
~(~(u)) | (g|u) | 1 | 1 | 0 | 0 | entailment |
~((~(u)>(((y>(l>z))|(l>z))|(m|u)))) | (c>y) | 1 | 1 | 0 | 0 | entailment |
~(~(u)) | (c>y) | 0 | 1 | 0 | 0 | not entailment |
~((~(u)>(((y>(l>z))|(l>z))|(m|u)))) | (g|u) | 0 | 1 | 0 | 0 | not entailment |
(((c&m)&z)&(~(((l|c)>((y>u)>(u|u))))|z)) | ((a|c)&z) | 1 | 1 | 0 | 0 | entailment |
((p&(((c>(l&z))&l)>(m|u)))&c) | (y|(~((((c&z)>z)&(~((g>p))>y)))>a)) | 1 | 0 | 0 | 0 | entailment |
(((c&m)&z)&(~(((l|c)>((y>u)>(u|u))))|z)) | (y|(~((((c&z)>z)&(~((g>p))>y)))>a)) | 0 | 1 | 0 | 0 | not entailment |
((p&(((c>(l&z))&l)>(m|u)))&c) | ((a|c)&z) | 0 | 1 | 0 | 0 | not entailment |
(~(((y&(c|(y>a)))&u))&((a|u)&((p|p)|l))) | (((l|u)|z)|(c>p)) | 1 | 1 | 0 | 0 | entailment |
~((~(u)>~(~((l&(a>(p|~((u&c))))))))) | ~(((u&~((a&~(m))))&z)) | 1 | 1 | 0 | 0 | entailment |
(~(((y&(c|(y>a)))&u))&((a|u)&((p|p)|l))) | ~(((u&~((a&~(m))))&z)) | 0 | 1 | 0 | 0 | not entailment |
~((~(u)>~(~((l&(a>(p|~((u&c))))))))) | (((l|u)|z)|(c>p)) | 0 | 1 | 0 | 0 | not entailment |
((c|a)&u) | (((z&~(~(~(u))))>~(l))|c) | 1 | 0 | 0 | 0 | entailment |
(l&((u&(g&z))>(((u>l)&(u>a))&(z>u)))) | ((~(g)|(~((m>a))|~(c)))>l) | 1 | 1 | 0 | 0 | entailment |
((c|a)&u) | ((~(g)|(~((m>a))|~(c)))>l) | 0 | 0 | 0 | 0 | not entailment |
(l&((u&(g&z))>(((u>l)&(u>a))&(z>u)))) | (((z&~(~(~(u))))>~(l))|c) | 0 | 1 | 0 | 0 | not entailment |
(y&((((u>c)&u)&(l&m))&z)) | (~((~(m)>l))>((g|m)&a)) | 1 | 1 | 0 | 0 | entailment |
(((z&z)>~(a))&(~(c)&~(l))) | ~((((m|~((~(u)|((g>l)>m))))|p)&l)) | 1 | 0 | 0 | 0 | entailment |
(y&((((u>c)&u)&(l&m))&z)) | ~((((m|~((~(u)|((g>l)>m))))|p)&l)) | 0 | 0 | 0 | 0 | not entailment |
(((z&z)>~(a))&(~(c)&~(l))) | (~((~(m)>l))>((g|m)&a)) | 0 | 1 | 0 | 0 | not entailment |
(((((c&a)|~((m|m)))|p)|g)&g) | (((~(~(m))|a)&c)|g) | 1 | 1 | 1 | 0 | entailment |
(m&z) | (a|m) | 1 | 1 | 0 | 0 | entailment |
(((((c&a)|~((m|m)))|p)|g)&g) | (a|m) | 0 | 1 | 1 | 0 | not entailment |
(m&z) | (((~(~(m))|a)&c)|g) | 0 | 0 | 0 | 0 | not entailment |
~(~((y&m))) | ((((l>(z&z))|(l&y))&m)|((g&m)|(a|c))) | 1 | 0 | 0 | 0 | entailment |
((z&(c|~(l)))&(g|l)) | ((g|~(~(l)))|~(~(~(u)))) | 1 | 0 | 0 | 0 | entailment |
~(~((y&m))) | ((g|~(~(l)))|~(~(~(u)))) | 0 | 0 | 0 | 0 | not entailment |
((z&(c|~(l)))&(g|l)) | ((((l>(z&z))|(l&y))&m)|((g&m)|(a|c))) | 0 | 0 | 0 | 0 | not entailment |
((~(y)&g)&(c>m)) | (g|g) | 1 | 1 | 1 | 1 | entailment |
~(((m&z)>p)) | (((y&a)|p)|z) | 1 | 1 | 0 | 0 | entailment |
((~(y)&g)&(c>m)) | (((y&a)|p)|z) | 0 | 1 | 0 | 0 | not entailment |
~(((m&z)>p)) | (g|g) | 0 | 1 | 0 | 0 | not entailment |
((p&(p>c))>~((~(m)|~((~(y)|u))))) | (m|~(~(((c&p)>((g|z)>l))))) | 1 | 1 | 0 | 0 | entailment |
~((l|g)) | (~(g)|(m&y)) | 1 | 0 | 0 | 0 | entailment |
((p&(p>c))>~((~(m)|~((~(y)|u))))) | (~(g)|(m&y)) | 0 | 1 | 0 | 0 | not entailment |
~((l|g)) | (m|~(~(((c&p)>((g|z)>l))))) | 0 | 0 | 0 | 0 | not entailment |
((g|(m|c))>m) | (c>((~((a>g))>(a|(~(l)|y)))&m)) | 1 | 0 | 0 | 0 | entailment |
~((((y|y)>((u>z)&(y|z)))|z)) | ((c>((g>z)>(y&(z|l))))|(u&y)) | 1 | 1 | 0 | 0 | entailment |
((g|(m|c))>m) | ((c>((g>z)>(y&(z|l))))|(u&y)) | 0 | 0 | 0 | 0 | not entailment |
~((((y|y)>((u>z)&(y|z)))|z)) | (c>((~((a>g))>(a|(~(l)|y)))&m)) | 0 | 0 | 0 | 0 | not entailment |
((l&y)&(a&m)) | (((z>y)&m)&(g|l)) | 1 | 0 | 0 | 0 | entailment |
(~(((u>~(m))|((z>l)&~(~((c|u))))))&g) | ~(((y&(g|a))&(((a>u)|g)>~(z)))) | 1 | 1 | 0 | 0 | entailment |
((l&y)&(a&m)) | ~(((y&(g|a))&(((a>u)|g)>~(z)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((u>~(m))|((z>l)&~(~((c|u))))))&g) | (((z>y)&m)&(g|l)) | 0 | 1 | 0 | 0 | not entailment |
~(((u&(m|~(m)))&(p|((g|c)>(g|a))))) | ((p&u)>~(z)) | 1 | 1 | 0 | 0 | entailment |
((~((~((y>(y|u)))&(l|g)))|c)>(~(a)&m)) | (p>(((m&z)|((y>p)|(z&m)))>(~(y)>~(a)))) | 1 | 1 | 0 | 0 | entailment |
~(((u&(m|~(m)))&(p|((g|c)>(g|a))))) | (p>(((m&z)|((y>p)|(z&m)))>(~(y)>~(a)))) | 0 | 0 | 0 | 0 | not entailment |
((~((~((y>(y|u)))&(l|g)))|c)>(~(a)&m)) | ((p&u)>~(z)) | 0 | 1 | 0 | 0 | not entailment |
(p|(z&~(~(~(z))))) | ((~(c)&((z>(a&y))&((p&c)|z)))|p) | 1 | 0 | 0 | 0 | entailment |
~((y>((l|p)>c))) | (m>~(~(y))) | 1 | 1 | 0 | 0 | entailment |
(p|(z&~(~(~(z))))) | (m>~(~(y))) | 0 | 1 | 0 | 0 | not entailment |
~((y>((l|p)>c))) | ((~(c)&((z>(a&y))&((p&c)|z)))|p) | 0 | 0 | 0 | 0 | not entailment |
(y>l) | (~(l)>(((u|((g|z)>a))&a)>(a&(y>u)))) | 1 | 0 | 0 | 0 | entailment |
(~(((((m|l)|u)&a)>((a>c)|(a>z))))&~(z)) | ((y>~(u))|(((y>(p|l))|~(g))>a)) | 1 | 1 | 0 | 0 | entailment |
(y>l) | ((y>~(u))|(((y>(p|l))|~(g))>a)) | 0 | 0 | 0 | 0 | not entailment |
(~(((((m|l)|u)&a)>((a>c)|(a>z))))&~(z)) | (~(l)>(((u|((g|z)>a))&a)>(a&(y>u)))) | 0 | 1 | 0 | 0 | not entailment |
(~(s)>s) | ~(~(s)) | 1 | 1 | 1 | 1 | entailment |
(~(((s>s)>s))&((s&s)>s)) | ((s|(s>(s|s)))>~((s&s))) | 1 | 1 | 1 | 1 | entailment |
(~(s)>s) | ((s|(s>(s|s)))>~((s&s))) | 0 | 0 | 1 | 0 | not entailment |
(~(((s>s)>s))&((s&s)>s)) | ~(~(s)) | 0 | 1 | 1 | 1 | not entailment |
~(~((s&(s&s)))) | ((s>s)&s) | 1 | 1 | 1 | 0 | entailment |
(s>~((s>((s&~(s))>s)))) | ~((((s&(s>~((s|s))))&s)|s)) | 1 | 0 | 1 | 1 | entailment |
~(~((s&(s&s)))) | ~((((s&(s>~((s|s))))&s)|s)) | 0 | 0 | 1 | 0 | not entailment |
(s>~((s>((s&~(s))>s)))) | ((s>s)&s) | 0 | 1 | 1 | 1 | not entailment |
((~(~(s))|(s|s))&s) | (s&(s|s)) | 1 | 1 | 1 | 1 | entailment |
~(((s&(s&(s>s)))|s)) | (~(~((s&s)))>(s>~(~(~((s&s)))))) | 1 | 0 | 1 | 1 | entailment |
((~(~(s))|(s|s))&s) | (~(~((s&s)))>(s>~(~(~((s&s)))))) | 0 | 0 | 1 | 0 | not entailment |
~(((s&(s&(s>s)))|s)) | (s&(s|s)) | 0 | 1 | 1 | 1 | not entailment |
~(((((s|s)>s)>(s|s))&(s&s))) | ~(((s>s)&(s|s))) | 1 | 1 | 1 | 1 | entailment |
~(~(~(~(s)))) | ((s&s)&s) | 1 | 1 | 1 | 1 | entailment |
~(((((s|s)>s)>(s|s))&(s&s))) | ((s&s)&s) | 0 | 1 | 1 | 1 | not entailment |
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