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&(y>o)) | (o|m) | 1 | 1 | 1 | 1 | entailment |
~((y>(m|(m|o)))) | (t>((~(m)&(y>y))|(y&o))) | 1 | 0 | 0 | 0 | entailment |
(m&(y>o)) | (t>((~(m)&(y>y))|(y&o))) | 0 | 0 | 0 | 0 | not entailment |
~((y>(m|(m|o)))) | (o|m) | 0 | 1 | 1 | 0 | not entailment |
(t&t) | (~((t>m))|m) | 1 | 0 | 0 | 0 | entailment |
~(((t>t)&((o&t)|t))) | (~(~((~(y)|((o|m)|~(t)))))|m) | 1 | 0 | 0 | 0 | entailment |
(t&t) | (~(~((~(y)|((o|m)|~(t)))))|m) | 0 | 0 | 0 | 0 | not entailment |
~(((t>t)&((o&t)|t))) | (~((t>m))|m) | 0 | 1 | 0 | 0 | not entailment |
~((~((y>(t|t)))|(~(((o|o)>y))|m))) | ~(~((m>y))) | 1 | 1 | 1 | 1 | entailment |
((o>~((y&m)))&m) | ((y|t)|m) | 1 | 1 | 0 | 0 | entailment |
~((~((y>(t|t)))|(~(((o|o)>y))|m))) | ((y|t)|m) | 0 | 1 | 1 | 0 | not entailment |
((o>~((y&m)))&m) | ~(~((m>y))) | 0 | 1 | 1 | 0 | not entailment |
(~(y)|~(((o|y)|y))) | ((((y|y)>o)|(y&o))&~(y)) | 1 | 0 | 1 | 0 | entailment |
(o&m) | ~((~((~(o)|~(~(m))))&(o>(t>t)))) | 1 | 0 | 0 | 0 | entailment |
(~(y)|~(((o|y)|y))) | ~((~((~(o)|~(~(m))))&(o>(t>t)))) | 0 | 0 | 0 | 0 | not entailment |
(o&m) | ((((y|y)>o)|(y&o))&~(y)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(t))) | (o|~(((o|y)&t))) | 1 | 0 | 0 | 0 | entailment |
((((t>o)>m)&((t>t)>m))|m) | ((~((m|m))>t)&m) | 1 | 1 | 1 | 1 | entailment |
~(~(~(t))) | ((~((m|m))>t)&m) | 0 | 0 | 0 | 0 | not entailment |
((((t>o)>m)&((t>t)>m))|m) | (o|~(((o|y)&t))) | 0 | 1 | 0 | 0 | not entailment |
(d&a) | ((a|~(~(h)))|((k&(n&h))&(g>h))) | 1 | 0 | 0 | 0 | entailment |
(~(g)>(~((a&a))&(g&(a>a)))) | (~(((r>n)>(d&g)))>(g|(~(h)>y))) | 1 | 0 | 0 | 0 | entailment |
(d&a) | (~(((r>n)>(d&g)))>(g|(~(h)>y))) | 0 | 0 | 0 | 0 | not entailment |
(~(g)>(~((a&a))&(g&(a>a)))) | ((a|~(~(h)))|((k&(n&h))&(g>h))) | 0 | 0 | 0 | 0 | not entailment |
(~(d)&k) | ((((u&y)>h)>k)|n) | 1 | 0 | 0 | 0 | entailment |
((~(u)>r)&((n|(r|k))&((r&u)&r))) | (k>r) | 1 | 1 | 1 | 0 | entailment |
(~(d)&k) | (k>r) | 0 | 1 | 0 | 0 | not entailment |
((~(u)>r)&((n|(r|k))&((r&u)&r))) | ((((u&y)>h)>k)|n) | 0 | 1 | 0 | 0 | not entailment |
(a&(h&(n&(~(y)&k)))) | (u|(~((a&(r>(g>r))))|(k>n))) | 1 | 0 | 0 | 0 | entailment |
(k&(y&r)) | ((((k|~(~(h)))|u)>((a|u)>y))&(r|(r&y))) | 1 | 0 | 0 | 0 | entailment |
(a&(h&(n&(~(y)&k)))) | ((((k|~(~(h)))|u)>((a|u)>y))&(r|(r&y))) | 0 | 0 | 0 | 0 | not entailment |
(k&(y&r)) | (u|(~((a&(r>(g>r))))|(k>n))) | 0 | 0 | 0 | 0 | not entailment |
~(((((g>r)>(~(a)>h))|(r>k))|a)) | (((r&~(h))|n)>r) | 1 | 1 | 0 | 0 | entailment |
((y&d)|(y&r)) | (~(((k|n)&((n|n)|u)))|(y&y)) | 1 | 0 | 0 | 0 | entailment |
~(((((g>r)>(~(a)>h))|(r>k))|a)) | (~(((k|n)&((n|n)|u)))|(y&y)) | 0 | 1 | 0 | 0 | not entailment |
((y&d)|(y&r)) | (((r&~(h))|n)>r) | 0 | 0 | 0 | 0 | not entailment |
~((((r>((h|n)>n))&(d>h))|(((y|h)&d)>h))) | (~((n&h))|~((((u|r)>(u|g))>(a&(h|y))))) | 1 | 1 | 0 | 0 | entailment |
(((y&r)&(r>a))&(r>(u&~((n>k))))) | (r|n) | 1 | 1 | 1 | 1 | entailment |
~((((r>((h|n)>n))&(d>h))|(((y|h)&d)>h))) | (r|n) | 0 | 1 | 1 | 1 | not entailment |
(((y&r)&(r>a))&(r>(u&~((n>k))))) | (~((n&h))|~((((u|r)>(u|g))>(a&(h|y))))) | 0 | 0 | 0 | 0 | not entailment |
(((r&u)&r)&~((k|k))) | (((g|r)|(g&~(((y>a)|~((d>k))))))|~(k)) | 1 | 0 | 0 | 0 | entailment |
~(((~((a>r))&h)>(d|g))) | ((((a&u)|(y|a))>~((k>~(k))))|(a>h)) | 1 | 0 | 0 | 0 | entailment |
(((r&u)&r)&~((k|k))) | ((((a&u)|(y|a))>~((k>~(k))))|(a>h)) | 0 | 0 | 0 | 0 | not entailment |
~(((~((a>r))&h)>(d|g))) | (((g|r)|(g&~(((y>a)|~((d>k))))))|~(k)) | 0 | 0 | 0 | 0 | not entailment |
~(((n|(h&g))>((~((y&k))|~(h))|~(a)))) | (h|(d>k)) | 1 | 1 | 0 | 0 | entailment |
((k|y)&(a&(r|u))) | ((((y&r)|~(u))&(k|(g|k)))>(h>r)) | 1 | 0 | 0 | 0 | entailment |
~(((n|(h&g))>((~((y&k))|~(h))|~(a)))) | ((((y&r)|~(u))&(k|(g|k)))>(h>r)) | 0 | 1 | 0 | 0 | not entailment |
((k|y)&(a&(r|u))) | (h|(d>k)) | 0 | 1 | 0 | 0 | not entailment |
(k&n) | (n|((d|~((y|~(k))))&d)) | 1 | 0 | 0 | 0 | entailment |
~(~(r)) | (r|((~(r)&~(~(u)))>g)) | 1 | 0 | 0 | 0 | entailment |
(k&n) | (r|((~(r)&~(~(u)))>g)) | 0 | 0 | 0 | 0 | not entailment |
~(~(r)) | (n|((d|~((y|~(k))))&d)) | 0 | 0 | 0 | 0 | not entailment |
(((((k&(y&g))&r)&a)&d)&g) | ((k&a)|(y&a)) | 1 | 1 | 1 | 1 | entailment |
~((g>((r&~((r&n)))>y))) | ~(~(~((n&h)))) | 1 | 1 | 0 | 0 | entailment |
(((((k&(y&g))&r)&a)&d)&g) | ~(~(~((n&h)))) | 0 | 1 | 0 | 0 | not entailment |
~((g>((r&~((r&n)))>y))) | ((k&a)|(y&a)) | 0 | 1 | 0 | 0 | not entailment |
(k&(~(y)|(~(u)|~(d)))) | (~(g)|((r|k)|~(~(a)))) | 1 | 1 | 0 | 0 | entailment |
~(~((y&g))) | ((y|((a|y)|~(r)))&(y>((y&g)|h))) | 1 | 0 | 0 | 0 | entailment |
(k&(~(y)|(~(u)|~(d)))) | ((y|((a|y)|~(r)))&(y>((y&g)|h))) | 0 | 0 | 0 | 0 | not entailment |
~(~((y&g))) | (~(g)|((r|k)|~(~(a)))) | 0 | 0 | 0 | 0 | not entailment |
(k&(a|(k|h))) | ~(~(((y|k)|(r|~((g>u)))))) | 1 | 0 | 0 | 0 | entailment |
(u&((u>(~((k>u))&(r&r)))>r)) | ((y|(n>d))>(u|r)) | 1 | 1 | 0 | 0 | entailment |
(k&(a|(k|h))) | ((y|(n>d))>(u|r)) | 0 | 0 | 0 | 0 | not entailment |
(u&((u>(~((k>u))&(r&r)))>r)) | ~(~(((y|k)|(r|~((g>u)))))) | 0 | 1 | 0 | 0 | not entailment |
((~(r)|a)>~(((h&(g&(r&n)))>(u&k)))) | (y|r) | 1 | 1 | 0 | 0 | entailment |
(g&h) | (((h|g)&h)|(~(r)&~(h))) | 1 | 0 | 0 | 0 | entailment |
((~(r)|a)>~(((h&(g&(r&n)))>(u&k)))) | (((h|g)&h)|(~(r)&~(h))) | 0 | 1 | 1 | 0 | not entailment |
(g&h) | (y|r) | 0 | 1 | 0 | 0 | not entailment |
((a&h)&(r&r)) | (h|~(~((~(k)&(u|((g>(g>h))&a)))))) | 1 | 0 | 0 | 0 | entailment |
((d|(d>h))&d) | ((d|k)|(g&((n|(d>k))>~((g|(g>h)))))) | 1 | 0 | 0 | 0 | entailment |
((a&h)&(r&r)) | ((d|k)|(g&((n|(d>k))>~((g|(g>h)))))) | 0 | 0 | 0 | 0 | not entailment |
((d|(d>h))&d) | (h|~(~((~(k)&(u|((g>(g>h))&a)))))) | 0 | 0 | 0 | 0 | not entailment |
(k&~(((y>(a&g))&~(r)))) | (k|(a&a)) | 1 | 1 | 1 | 0 | entailment |
((y&r)&((~(((d>k)|r))>d)|(~(a)&~(u)))) | ~((~(g)&~((y|y)))) | 1 | 1 | 0 | 0 | entailment |
(k&~(((y>(a&g))&~(r)))) | ~((~(g)&~((y|y)))) | 0 | 1 | 1 | 0 | not entailment |
((y&r)&((~(((d>k)|r))>d)|(~(a)&~(u)))) | (k|(a&a)) | 0 | 1 | 1 | 0 | not entailment |
~(((k|((h&g)>y))>~((n&(u&u))))) | ((~((a|u))>((y|y)&y))|u) | 1 | 1 | 0 | 0 | entailment |
(~(~(((a|k)|a)))&~(r)) | ((~((r>y))&~((d&(~(u)&r))))>k) | 1 | 0 | 0 | 0 | entailment |
~(((k|((h&g)>y))>~((n&(u&u))))) | ((~((r>y))&~((d&(~(u)&r))))>k) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((a|k)|a)))&~(r)) | ((~((a|u))>((y|y)&y))|u) | 0 | 1 | 0 | 0 | not entailment |
(~((((r&(g|d))&(d|h))>(r|r)))|(a&h)) | (((a|g)>((h|(a|g))&k))>((((r|a)&r)&u)>k)) | 1 | 0 | 0 | 0 | entailment |
(n&(~(k)&r)) | ((a|(d>d))>r) | 1 | 1 | 0 | 0 | entailment |
(~((((r&(g|d))&(d|h))>(r|r)))|(a&h)) | ((a|(d>d))>r) | 0 | 1 | 1 | 0 | not entailment |
(n&(~(k)&r)) | (((a|g)>((h|(a|g))&k))>((((r|a)&r)&u)>k)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((o&v)))&(~(~(o))|((j&k)>f))) | ((v|k)|(o|f)) | 1 | 1 | 1 | 0 | entailment |
~((o|b)) | ((j|f)|(~(f)&~(((v>k)&b)))) | 1 | 0 | 0 | 0 | entailment |
(~(~((o&v)))&(~(~(o))|((j&k)>f))) | ((j|f)|(~(f)&~(((v>k)&b)))) | 0 | 1 | 0 | 0 | not entailment |
~((o|b)) | ((v|k)|(o|f)) | 0 | 0 | 0 | 0 | not entailment |
~(((j&((~(k)|b)|j))|(k>j))) | (k|(f|v)) | 1 | 1 | 0 | 0 | entailment |
(~(v)&(((v>o)|~((b|k)))&~((k|j)))) | ((o|(v|(k>b)))|((o|((k>b)>(~(b)>b)))&j)) | 1 | 0 | 1 | 0 | entailment |
~(((j&((~(k)|b)|j))|(k>j))) | ((o|(v|(k>b)))|((o|((k>b)>(~(b)>b)))&j)) | 0 | 0 | 0 | 0 | not entailment |
(~(v)&(((v>o)|~((b|k)))&~((k|j)))) | (k|(f|v)) | 0 | 1 | 0 | 0 | not entailment |
(o>~(j)) | (((((o&f)&v)&(j&~(b)))&o)>(o&b)) | 1 | 0 | 0 | 0 | entailment |
(o|o) | (v|o) | 1 | 1 | 0 | 0 | entailment |
(o>~(j)) | (v|o) | 0 | 1 | 0 | 0 | not entailment |
(o|o) | (((((o&f)&v)&(j&~(b)))&o)>(o&b)) | 0 | 0 | 0 | 0 | not entailment |
(v&((f>f)>~((o&(f|f))))) | (v|f) | 1 | 1 | 1 | 1 | entailment |
~(((b>v)|o)) | (j|b) | 1 | 1 | 0 | 0 | entailment |
(v&((f>f)>~((o&(f|f))))) | (j|b) | 0 | 1 | 0 | 0 | not entailment |
~(((b>v)|o)) | (v|f) | 0 | 1 | 0 | 0 | not entailment |
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