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 |
|---|---|---|---|---|---|---|
(~((f&i))&y) | ((~((l|w))>o)|(r>e)) | 0 | 0 | 0 | 0 | not entailment |
~((((g>~(w))>(e>o))|(l|(f|t)))) | (l>o) | 1 | 1 | 1 | 0 | entailment |
~(~(((l&f)|~(~(((~(~(w))&f)&r)))))) | (~(r)|f) | 1 | 1 | 1 | 0 | entailment |
~((((g>~(w))>(e>o))|(l|(f|t)))) | (~(r)|f) | 0 | 1 | 0 | 0 | not entailment |
~(~(((l&f)|~(~(((~(~(w))&f)&r)))))) | (l>o) | 0 | 1 | 0 | 0 | not entailment |
(~(o)>~((f|t))) | (g|~(((y|~(l))&(~(((~(o)>g)|o))&t)))) | 1 | 0 | 0 | 0 | entailment |
~(w) | (~(~(((w>y)|(r>f))))|((l>g)&(e>f))) | 1 | 0 | 0 | 0 | entailment |
(~(o)>~((f|t))) | (~(~(((w>y)|(r>f))))|((l>g)&(e>f))) | 0 | 0 | 0 | 0 | not entailment |
~(w) | (g|~(((y|~(l))&(~(((~(o)>g)|o))&t)))) | 0 | 0 | 0 | 0 | not entailment |
((r|(y&w))&w) | ~(~((~((g>o))|w))) | 1 | 0 | 0 | 0 | entailment |
~((i>(y&g))) | (l>i) | 1 | 1 | 0 | 0 | entailment |
((r|(y&w))&w) | (l>i) | 0 | 1 | 0 | 0 | not entailment |
~((i>(y&g))) | ~(~((~((g>o))|w))) | 0 | 0 | 0 | 0 | not entailment |
~(w) | ((((i&(e>g))>t)|(r&i))|~(((w&l)&y))) | 1 | 0 | 0 | 0 | entailment |
(y>w) | (~(y)|((l>g)|(w|w))) | 1 | 0 | 0 | 0 | entailment |
~(w) | (~(y)|((l>g)|(w|w))) | 0 | 0 | 0 | 0 | not entailment |
(y>w) | ((((i&(e>g))>t)|(r&i))|~(((w&l)&y))) | 0 | 0 | 0 | 0 | not entailment |
~(t) | ~((((y|w)>o)&(i&~(((y|i)>(t>(g|w))))))) | 1 | 0 | 0 | 0 | entailment |
(~(~((~(~(r))&(f|w))))&l) | ((f&(w>~((g>g))))>l) | 1 | 1 | 0 | 0 | entailment |
~(t) | ((f&(w>~((g>g))))>l) | 0 | 0 | 0 | 0 | not entailment |
(~(~((~(~(r))&(f|w))))&l) | ~((((y|w)>o)&(i&~(((y|i)>(t>(g|w))))))) | 0 | 0 | 0 | 0 | not entailment |
((w&l)&~(i)) | (f|(~(w)|l)) | 1 | 1 | 0 | 0 | entailment |
((w&(r&(t>w)))&((i&i)|i)) | (i|~((((w|~(~(y)))>~(i))>g))) | 1 | 0 | 0 | 0 | entailment |
((w&l)&~(i)) | (i|~((((w|~(~(y)))>~(i))>g))) | 0 | 0 | 0 | 0 | not entailment |
((w&(r&(t>w)))&((i&i)|i)) | (f|(~(w)|l)) | 0 | 1 | 0 | 0 | not entailment |
~(((g&((y&y)&(y&w)))>((f>~(g))|i))) | (~(f)>~((((t>i)&(t>e))&~((y|e))))) | 1 | 1 | 0 | 0 | entailment |
~((l>i)) | (i|l) | 1 | 1 | 1 | 0 | entailment |
~(((g&((y&y)&(y&w)))>((f>~(g))|i))) | (i|l) | 0 | 1 | 0 | 0 | not entailment |
~((l>i)) | (~(f)>~((((t>i)&(t>e))&~((y|e))))) | 0 | 0 | 0 | 0 | not entailment |
((y&(i&(o|f)))&((t|y)&~(e))) | (i|((y>(y>(o&e)))&(f&i))) | 1 | 1 | 1 | 0 | entailment |
((r>(y>e))&(~(~(~((y|g))))&~(t))) | ((t&(e>t))>~(~(f))) | 1 | 1 | 0 | 0 | entailment |
((y&(i&(o|f)))&((t|y)&~(e))) | ((t&(e>t))>~(~(f))) | 0 | 1 | 1 | 0 | not entailment |
((r>(y>e))&(~(~(~((y|g))))&~(t))) | (i|((y>(y>(o&e)))&(f&i))) | 0 | 1 | 0 | 0 | not entailment |
~((y>((f>i)&(~(t)|(g>g))))) | (~(~((r>t)))|(w>y)) | 1 | 1 | 0 | 0 | entailment |
(((f&~(e))|(~(f)|~(f)))&~((e>y))) | ~((y&(((g|t)|~(r))&(((e|g)>~(w))&f)))) | 1 | 0 | 0 | 0 | entailment |
~((y>((f>i)&(~(t)|(g>g))))) | ~((y&(((g|t)|~(r))&(((e|g)>~(w))&f)))) | 0 | 0 | 0 | 0 | not entailment |
(((f&~(e))|(~(f)|~(f)))&~((e>y))) | (~(~((r>t)))|(w>y)) | 0 | 1 | 0 | 0 | not entailment |
((y&g)&((g|~((g>e)))>~(f))) | (~((l&(g>(i|i))))|(g>y)) | 1 | 1 | 0 | 0 | entailment |
((i&r)|~((l>l))) | (i|((~(l)|((g&(e|t))|t))&y)) | 1 | 0 | 0 | 0 | entailment |
((y&g)&((g|~((g>e)))>~(f))) | (i|((~(l)|((g&(e|t))|t))&y)) | 0 | 1 | 0 | 0 | not entailment |
((i&r)|~((l>l))) | (~((l&(g>(i|i))))|(g>y)) | 0 | 0 | 0 | 0 | not entailment |
(i&((g|o)&(((f|r)>t)&r))) | (((e|(o>f))&(i&(t|(y>i))))>(f>r)) | 1 | 0 | 0 | 0 | entailment |
((g&~(((i>(f|l))|~(~(o)))))|(l&w)) | (((((f>t)|(y|f))&((y>o)|l))&(f&r))>l) | 1 | 1 | 0 | 0 | entailment |
(i&((g|o)&(((f|r)>t)&r))) | (((((f>t)|(y|f))&((y>o)|l))&(f&r))>l) | 0 | 0 | 0 | 0 | not entailment |
((g&~(((i>(f|l))|~(~(o)))))|(l&w)) | (((e|(o>f))&(i&(t|(y>i))))>(f>r)) | 0 | 1 | 0 | 0 | not entailment |
(((i&l)>l)>~(((g>f)|w))) | (~(~((((w&g)>o)&~(g))))>w) | 1 | 0 | 0 | 0 | entailment |
~(((t&i)>~(~((l|(l|((t|i)&w))))))) | ~((((i>o)&(e&l))|(~((w>y))&(w|t)))) | 1 | 1 | 0 | 0 | entailment |
(((i&l)>l)>~(((g>f)|w))) | ~((((i>o)&(e&l))|(~((w>y))&(w|t)))) | 0 | 0 | 0 | 0 | not entailment |
~(((t&i)>~(~((l|(l|((t|i)&w))))))) | (~(~((((w&g)>o)&~(g))))>w) | 0 | 1 | 0 | 0 | not entailment |
(~(l)&~(g)) | ((y>y)&~(g)) | 1 | 1 | 0 | 0 | entailment |
(w&i) | ((f&((y|f)&~(w)))>(~(i)>(f>i))) | 1 | 0 | 0 | 0 | entailment |
(~(l)&~(g)) | ((f&((y|f)&~(w)))>(~(i)>(f>i))) | 0 | 0 | 0 | 0 | not entailment |
(w&i) | ((y>y)&~(g)) | 0 | 0 | 0 | 0 | not entailment |
~((s|(n>g))) | (m|((n&~(~((g>k))))|a)) | 1 | 0 | 0 | 0 | entailment |
((~(u)|(h&u))&((d&g)&(o>o))) | (((g|(s|h))|g)>(k>(u>(g|m)))) | 1 | 1 | 0 | 0 | entailment |
~((s|(n>g))) | (((g|(s|h))|g)>(k>(u>(g|m)))) | 0 | 0 | 0 | 0 | not entailment |
((~(u)|(h&u))&((d&g)&(o>o))) | (m|((n&~(~((g>k))))|a)) | 0 | 1 | 0 | 0 | not entailment |
((h|n)&~((n>((g>k)>g)))) | ((m>m)>(g>~(((g>m)&(u&m))))) | 1 | 0 | 0 | 0 | entailment |
(((~((m&n))|h)>~(((g>k)|a)))&s) | ((a|s)>s) | 1 | 1 | 1 | 0 | entailment |
((h|n)&~((n>((g>k)>g)))) | ((a|s)>s) | 0 | 1 | 0 | 0 | not entailment |
(((~((m&n))|h)>~(((g>k)|a)))&s) | ((m>m)>(g>~(((g>m)&(u&m))))) | 0 | 1 | 0 | 0 | not entailment |
~((~(u)>(k>g))) | ~((m&~(k))) | 1 | 1 | 0 | 0 | entailment |
(~((d|o))&g) | (~(s)|~((d&(o>(d&((d|d)>o)))))) | 1 | 0 | 0 | 0 | entailment |
~((~(u)>(k>g))) | (~(s)|~((d&(o>(d&((d|d)>o)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((d|o))&g) | ~((m&~(k))) | 0 | 1 | 0 | 0 | not entailment |
(((a>(~(k)&k))>((n|o)>k))&(~(a)&k)) | ~(((n&a)&(m&(g&u)))) | 1 | 1 | 0 | 0 | entailment |
(~(s)&o) | (o&o) | 1 | 1 | 1 | 1 | entailment |
(((a>(~(k)&k))>((n|o)>k))&(~(a)&k)) | (o&o) | 0 | 1 | 1 | 0 | not entailment |
(~(s)&o) | ~(((n&a)&(m&(g&u)))) | 0 | 0 | 0 | 0 | not entailment |
~((a|(h|(~((h&u))&(o>g))))) | (((a|k)>(s|h))|~((o&g))) | 1 | 1 | 0 | 0 | entailment |
~((((u&d)>s)|(a>n))) | (d|((u&d)|~(~((k|n))))) | 1 | 0 | 0 | 0 | entailment |
~((a|(h|(~((h&u))&(o>g))))) | (d|((u&d)|~(~((k|n))))) | 0 | 1 | 0 | 0 | not entailment |
~((((u&d)>s)|(a>n))) | (((a|k)>(s|h))|~((o&g))) | 0 | 0 | 0 | 0 | not entailment |
~((h>(~((n|o))>~(d)))) | (d|(s&a)) | 1 | 1 | 0 | 0 | entailment |
~(((n&((s>k)>u))|(~(h)>~((u&s))))) | ((h&h)>~(a)) | 1 | 1 | 0 | 0 | entailment |
~((h>(~((n|o))>~(d)))) | ((h&h)>~(a)) | 0 | 1 | 0 | 0 | not entailment |
~(((n&((s>k)>u))|(~(h)>~((u&s))))) | (d|(s&a)) | 0 | 1 | 0 | 0 | not entailment |
(~((u>d))&m) | ((d|(m>(o>k)))>(~(n)|(d>k))) | 1 | 0 | 0 | 0 | entailment |
(o&(s&(h&o))) | ((n|u)>((k>((g|n)>s))|((m&a)&~(k)))) | 1 | 0 | 0 | 0 | entailment |
(~((u>d))&m) | ((n|u)>((k>((g|n)>s))|((m&a)&~(k)))) | 0 | 0 | 0 | 0 | not entailment |
(o&(s&(h&o))) | ((d|(m>(o>k)))>(~(n)|(d>k))) | 0 | 0 | 0 | 0 | not entailment |
~((d|~(~(((o|d)&((h|s)&h)))))) | (m>(d>u)) | 1 | 1 | 0 | 0 | entailment |
((k>n)&(o|n)) | ((~(~(~(o)))>g)|(((n|n)|u)|(~(n)>s))) | 1 | 0 | 0 | 0 | entailment |
~((d|~(~(((o|d)&((h|s)&h)))))) | ((~(~(~(o)))>g)|(((n|n)|u)|(~(n)>s))) | 0 | 0 | 0 | 0 | not entailment |
((k>n)&(o|n)) | (m>(d>u)) | 0 | 1 | 0 | 0 | not entailment |
~(s) | ~(s) | 1 | 1 | 1 | 1 | entailment |
(~(((g>(~((o>n))&o))|d))&m) | ((d>(n&n))|~((n|~(m)))) | 1 | 1 | 1 | 0 | entailment |
~(s) | ((d>(n&n))|~((n|~(m)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((g>(~((o>n))&o))|d))&m) | ~(s) | 0 | 1 | 0 | 0 | not entailment |
((k&~((s>~(n))))&g) | (s>(~(~(((d>k)&g)))>k)) | 1 | 0 | 0 | 0 | entailment |
(~(n)&h) | (((a>~(o))>h)|(m&d)) | 1 | 0 | 0 | 0 | entailment |
((k&~((s>~(n))))&g) | (((a>~(o))>h)|(m&d)) | 0 | 1 | 0 | 0 | not entailment |
(~(n)&h) | (s>(~(~(((d>k)&g)))>k)) | 0 | 0 | 0 | 0 | not entailment |
((((s&g)&o)&m)&(((s>n)|k)|((u>g)>(k&g)))) | ((h>(((d>h)>d)|g))|(n&d)) | 1 | 1 | 0 | 0 | entailment |
~(((d>m)>(~(((d&h)|~(o)))|s))) | ((k>s)>~(((d>h)&s))) | 1 | 1 | 0 | 0 | entailment |
((((s&g)&o)&m)&(((s>n)|k)|((u>g)>(k&g)))) | ((k>s)>~(((d>h)&s))) | 0 | 1 | 0 | 0 | not entailment |
~(((d>m)>(~(((d&h)|~(o)))|s))) | ((h>(((d>h)>d)|g))|(n&d)) | 0 | 1 | 0 | 0 | not entailment |
~(((a&a)&((o&d)>a))) | (a>((a>d)>h)) | 1 | 1 | 0 | 0 | entailment |
((s&(k&s))&(((a&u)|(n&(u&n)))>h)) | (((g|(~(n)&~(k)))>(n>m))>k) | 1 | 1 | 0 | 0 | entailment |
~(((a&a)&((o&d)>a))) | (((g|(~(n)&~(k)))>(n>m))>k) | 0 | 0 | 0 | 0 | not entailment |
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