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)|p))) | ~(v) | 0 | 1 | 0 | 0 | not entailment |
(((s>v)|((p|o)&u))>~((o>(o>o)))) | (((~((p&f))>(p&o))&f)|((f&u)>(f&t))) | 0 | 0 | 0 | 0 | not entailment |
(((f&f)|v)&(u&p)) | ((t|p)|~(o)) | 1 | 1 | 0 | 0 | entailment |
~(~(((~(o)>~(o))>~(~(s))))) | (t>s) | 1 | 1 | 0 | 0 | entailment |
(((f&f)|v)&(u&p)) | (t>s) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~(o)>~(o))>~(~(s))))) | ((t|p)|~(o)) | 0 | 1 | 0 | 0 | not entailment |
(u&p) | (o>~(~((o&p)))) | 1 | 0 | 0 | 0 | entailment |
(~(((o>t)|t))&(o|s)) | ((o|v)|~(~((t|~((o|(~(p)|s))))))) | 1 | 0 | 0 | 0 | entailment |
(u&p) | ((o|v)|~(~((t|~((o|(~(p)|s))))))) | 0 | 0 | 0 | 0 | not entailment |
(~(((o>t)|t))&(o|s)) | (o>~(~((o&p)))) | 0 | 1 | 0 | 0 | not entailment |
~(((s>(~(~(u))|p))|~((o>(u&~(o)))))) | ((v&u)>t) | 1 | 1 | 0 | 0 | entailment |
~((t&(v>(v|t)))) | ((f|f)|(u|~((t&s)))) | 1 | 0 | 0 | 0 | entailment |
~(((s>(~(~(u))|p))|~((o>(u&~(o)))))) | ((f|f)|(u|~((t&s)))) | 0 | 1 | 0 | 0 | not entailment |
~((t&(v>(v|t)))) | ((v&u)>t) | 0 | 1 | 0 | 0 | not entailment |
(s>((t>~((f>t)))&~(~((t&~(p)))))) | ~(s) | 1 | 1 | 1 | 1 | entailment |
(u&~((s>o))) | ((s&s)&(f>u)) | 1 | 1 | 0 | 0 | entailment |
(s>((t>~((f>t)))&~(~((t&~(p)))))) | ((s&s)&(f>u)) | 0 | 1 | 0 | 0 | not entailment |
(u&~((s>o))) | ~(s) | 0 | 1 | 1 | 0 | not entailment |
~(((a&((o|c)>m))>m)) | ((m>(~(o)>r))|(b&(o|(o|z)))) | 1 | 0 | 0 | 0 | entailment |
~(((~((y|y))>(a&c))>(y|y))) | ((~(~(~(c)))&r)>(c&(z|a))) | 1 | 1 | 0 | 0 | entailment |
~(((a&((o|c)>m))>m)) | ((~(~(~(c)))&r)>(c&(z|a))) | 0 | 0 | 0 | 0 | not entailment |
~(((~((y|y))>(a&c))>(y|y))) | ((m>(~(o)>r))|(b&(o|(o|z)))) | 0 | 1 | 0 | 0 | not entailment |
(~((((a|a)>(b&z))|(a>r)))&c) | (a|(z|y)) | 1 | 1 | 0 | 0 | entailment |
~((((~((b|(b&z)))|(r&r))|~((o&m)))|c)) | (~(o)>~(~(b))) | 1 | 1 | 1 | 1 | entailment |
(~((((a|a)>(b&z))|(a>r)))&c) | (~(o)>~(~(b))) | 0 | 1 | 0 | 0 | not entailment |
~((((~((b|(b&z)))|(r&r))|~((o&m)))|c)) | (a|(z|y)) | 0 | 1 | 0 | 0 | not entailment |
(((c|o)&c)&(z&r)) | ((a&(((z|(a|z))&o)&(y&~((b|b)))))|c) | 1 | 0 | 0 | 0 | entailment |
((m&y)&m) | (((c|b)>~((z>b)))>(y|m)) | 1 | 0 | 0 | 0 | entailment |
(((c|o)&c)&(z&r)) | (((c|b)>~((z>b)))>(y|m)) | 0 | 0 | 0 | 0 | not entailment |
((m&y)&m) | ((a&(((z|(a|z))&o)&(y&~((b|b)))))|c) | 0 | 0 | 0 | 0 | not entailment |
(z|z) | ((y|z)|a) | 1 | 0 | 0 | 0 | entailment |
(((c>z)|(m&y))>~(r)) | (((m&(r|o))>(m&(y>o)))|(~(r)|b)) | 1 | 0 | 0 | 0 | entailment |
(z|z) | (((m&(r|o))>(m&(y>o)))|(~(r)|b)) | 0 | 0 | 0 | 0 | not entailment |
(((c>z)|(m&y))>~(r)) | ((y|z)|a) | 0 | 1 | 0 | 0 | not entailment |
(c&((o&y)&y)) | (~(y)|c) | 1 | 1 | 1 | 0 | entailment |
~((z>(o&y))) | (m>(r>(r&z))) | 1 | 1 | 0 | 0 | entailment |
(c&((o&y)&y)) | (m>(r>(r&z))) | 0 | 1 | 0 | 0 | not entailment |
~((z>(o&y))) | (~(y)|c) | 0 | 1 | 0 | 0 | not entailment |
((c&(o&b))&(((c>a)&o)&(o|~(c)))) | (~(~((r&~((r>~(~((r>b))))))))|(r|o)) | 1 | 0 | 0 | 0 | entailment |
(~((r&m))>m) | ((~((z>b))>a)>m) | 1 | 0 | 0 | 0 | entailment |
((c&(o&b))&(((c>a)&o)&(o|~(c)))) | ((~((z>b))>a)>m) | 0 | 1 | 0 | 0 | not entailment |
(~((r&m))>m) | (~(~((r&~((r>~(~((r>b))))))))|(r|o)) | 0 | 0 | 0 | 0 | not entailment |
(((b>(o|o))|a)&(((a>m)&y)&o)) | ~(~(((m&r)|((z|(z|((z|o)|m)))|c)))) | 1 | 0 | 0 | 0 | entailment |
((a|~(b))|~(z)) | ((~(a)>c)|~((z&b))) | 1 | 0 | 0 | 0 | entailment |
(((b>(o|o))|a)&(((a>m)&y)&o)) | ((~(a)>c)|~((z&b))) | 0 | 1 | 0 | 0 | not entailment |
((a|~(b))|~(z)) | ~(~(((m&r)|((z|(z|((z|o)|m)))|c)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((c|(b|(y|z))))>(a>z))) | ((a|y)|((c|o)&((c|a)|(r&(b>o))))) | 1 | 0 | 0 | 0 | entailment |
((a|~(y))&~(~((r&m)))) | (y|r) | 1 | 1 | 1 | 0 | entailment |
~((~((c|(b|(y|z))))>(a>z))) | (y|r) | 0 | 1 | 0 | 0 | not entailment |
((a|~(y))&~(~((r&m)))) | ((a|y)|((c|o)&((c|a)|(r&(b>o))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((r&o)&(z&y)))) | (((a&y)&o)>z) | 1 | 1 | 0 | 0 | entailment |
~((((m>m)>(m|m))|b)) | (((b>~(m))|((o&o)|(y&m)))>~(b)) | 1 | 0 | 0 | 0 | entailment |
~(~(((r&o)&(z&y)))) | (((b>~(m))|((o&o)|(y&m)))>~(b)) | 0 | 0 | 0 | 0 | not entailment |
~((((m>m)>(m|m))|b)) | (((a&y)&o)>z) | 0 | 1 | 0 | 0 | not entailment |
(a&z) | ~((~(((m&~(y))|(((c&r)>z)&a)))&(b&y))) | 1 | 0 | 0 | 0 | entailment |
~((a|((z|z)|r))) | (r>~((b>a))) | 1 | 1 | 0 | 0 | entailment |
(a&z) | (r>~((b>a))) | 0 | 0 | 0 | 0 | not entailment |
~((a|((z|z)|r))) | ~((~(((m&~(y))|(((c&r)>z)&a)))&(b&y))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~(~(y))|((r|o)|b))))) | ~(~((~(b)|((a&c)&(c|a))))) | 1 | 1 | 0 | 0 | entailment |
(~(~(r))&~((~((r|y))&~((c|b))))) | (((c&o)&r)|r) | 1 | 1 | 0 | 0 | entailment |
~(~(~((~(~(y))|((r|o)|b))))) | (((c&o)&r)|r) | 0 | 1 | 0 | 0 | not entailment |
(~(~(r))&~((~((r|y))&~((c|b))))) | ~(~((~(b)|((a&c)&(c|a))))) | 0 | 1 | 0 | 0 | not entailment |
(~((((m|y)&(b>y))|y))&(m|(c|o))) | ~(y) | 1 | 1 | 1 | 1 | entailment |
(y&r) | ((c>c)&y) | 1 | 0 | 0 | 0 | entailment |
(~((((m|y)&(b>y))|y))&(m|(c|o))) | ((c>c)&y) | 0 | 1 | 1 | 0 | not entailment |
(y&r) | ~(y) | 0 | 1 | 1 | 0 | not entailment |
~((a|(c>z))) | (~(~(~(((m>(a&~(r)))|(c>(z>o))))))>b) | 1 | 0 | 0 | 0 | entailment |
~(r) | (y>(~(r)|(~(~(c))>m))) | 1 | 0 | 0 | 0 | entailment |
~((a|(c>z))) | (y>(~(r)|(~(~(c))>m))) | 0 | 0 | 0 | 0 | not entailment |
~(r) | (~(~(~(((m>(a&~(r)))|(c>(z>o))))))>b) | 0 | 0 | 0 | 0 | not entailment |
((((m>r)|(o>b))&a)&r) | ~(~(r)) | 1 | 1 | 1 | 1 | entailment |
(~(a)&((b>a)&(y&c))) | ~(((o&((c>(z>r))|b))&(b|~(c)))) | 1 | 0 | 0 | 0 | entailment |
((((m>r)|(o>b))&a)&r) | ~(((o&((c>(z>r))|b))&(b|~(c)))) | 0 | 0 | 0 | 0 | not entailment |
(~(a)&((b>a)&(y&c))) | ~(~(r)) | 0 | 1 | 0 | 0 | not entailment |
~((m>o)) | ((((y>r)|b)>(((m>b)&(r|b))>b))|(a>m)) | 1 | 0 | 0 | 0 | entailment |
~((m|~((~(m)&(~(c)&((r&c)|~(y))))))) | (((a&~((o|a)))>~(m))>~(c)) | 1 | 1 | 0 | 0 | entailment |
~((m>o)) | (((a&~((o|a)))>~(m))>~(c)) | 0 | 0 | 0 | 0 | not entailment |
~((m|~((~(m)&(~(c)&((r&c)|~(y))))))) | ((((y>r)|b)>(((m>b)&(r|b))>b))|(a>m)) | 0 | 1 | 0 | 0 | not entailment |
~(((k>b)&(n|b))) | ((b|b)>(k|g)) | 1 | 1 | 0 | 0 | entailment |
((g>n)>n) | ((g&~(n))|~(~((b|n)))) | 1 | 0 | 0 | 0 | entailment |
~(((k>b)&(n|b))) | ((g&~(n))|~(~((b|n)))) | 0 | 0 | 0 | 0 | not entailment |
((g>n)>n) | ((b|b)>(k|g)) | 0 | 0 | 0 | 0 | not entailment |
~(b) | ((~(b)|g)|k) | 1 | 0 | 0 | 0 | entailment |
~((b>((k|k)&b))) | ((b|g)|~(~(n))) | 1 | 1 | 0 | 0 | entailment |
~(b) | ((b|g)|~(~(n))) | 0 | 0 | 0 | 0 | not entailment |
~((b>((k|k)&b))) | ((~(b)|g)|k) | 0 | 1 | 0 | 0 | not entailment |
(g&(k&g)) | (((k>(n|n))&~((g&n)))|g) | 1 | 0 | 0 | 0 | entailment |
~((n|((k|k)>(b|n)))) | (b>(k>((~(g)&g)&b))) | 1 | 1 | 0 | 0 | entailment |
(g&(k&g)) | (b>(k>((~(g)&g)&b))) | 0 | 0 | 0 | 0 | not entailment |
~((n|((k|k)>(b|n)))) | (((k>(n|n))&~((g&n)))|g) | 0 | 0 | 0 | 0 | not entailment |
((~(n)>g)&(b&((n&g)&k))) | ((b>k)>~(~((b&n)))) | 1 | 1 | 1 | 0 | entailment |
((((g>~(b))|~(b))>k)&~((g|(n&n)))) | (((k>((g|n)>b))>~(n))&((g>~(n))|n)) | 1 | 1 | 1 | 0 | entailment |
((~(n)>g)&(b&((n&g)&k))) | (((k>((g|n)>b))>~(n))&((g>~(n))|n)) | 0 | 0 | 1 | 0 | not entailment |
((((g>~(b))|~(b))>k)&~((g|(n&n)))) | ((b>k)>~(~((b&n)))) | 0 | 1 | 1 | 0 | not entailment |
~((~((k&(k>(b|~(g)))))>(g|n))) | (b|((g>k)&(g>k))) | 1 | 1 | 1 | 0 | entailment |
((~(b)>(g&g))&(n&g)) | (g|(((n&b)>k)&k)) | 1 | 1 | 0 | 0 | entailment |
~((~((k&(k>(b|~(g)))))>(g|n))) | (g|(((n&b)>k)&k)) | 0 | 1 | 1 | 1 | not entailment |
((~(b)>(g&g))&(n&g)) | (b|((g>k)&(g>k))) | 0 | 1 | 0 | 0 | not entailment |
(((b>g)>(k>~((k>k))))>(k&g)) | ((((k&k)&g)|n)>((k>(n&(b&b)))>k)) | 1 | 0 | 0 | 0 | entailment |
(~(g)&(b>n)) | ~(((~(((b>k)>b))&(g|~(k)))&(g&(n>b)))) | 1 | 0 | 0 | 0 | entailment |
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