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)|~((g|(b>b)))) | ((f&m)|(~(y)|(f&~(m)))) | 0 | 0 | 0 | 0 | not entailment |
~(((c|(~((s|~(y)))>(s&y)))>y)) | ((((u|b)&b)|((n>y)|g))|((s>(u>c))&n)) | 0 | 0 | 0 | 0 | not entailment |
((y|(y|y))&n) | (s>(c|(~(~(~(((s>(u&u))|g))))|n))) | 1 | 0 | 0 | 0 | entailment |
(f|(u&c)) | ((b|f)|u) | 1 | 1 | 0 | 0 | entailment |
((y|(y|y))&n) | ((b|f)|u) | 0 | 1 | 0 | 0 | not entailment |
(f|(u&c)) | (s>(c|(~(~(~(((s>(u&u))|g))))|n))) | 0 | 0 | 0 | 0 | not entailment |
~((~(m)|(((s|f)>(b|f))|(m>f)))) | (u>~((((f&g)&(u|f))&u))) | 1 | 1 | 0 | 0 | entailment |
(~((~(f)|b))&(g&~((n&n)))) | ~(((s&(~(~(c))|(g|(c>s))))&(n&s))) | 1 | 0 | 0 | 0 | entailment |
~((~(m)|(((s|f)>(b|f))|(m>f)))) | ~(((s&(~(~(c))|(g|(c>s))))&(n&s))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(f)|b))&(g&~((n&n)))) | (u>~((((f&g)&(u|f))&u))) | 0 | 1 | 0 | 0 | not entailment |
~(((n&n)>~(g))) | ~(~((((m&(f&f))>~(~((u&y))))|(y>g)))) | 1 | 0 | 0 | 0 | entailment |
(b&((s&~(n))>~((((u&g)|y)&y)))) | (~(((g>n)&(b|c)))>(~((m|b))>~(n))) | 1 | 0 | 0 | 0 | entailment |
~(((n&n)>~(g))) | (~(((g>n)&(b|c)))>(~((m|b))>~(n))) | 0 | 0 | 0 | 0 | not entailment |
(b&((s&~(n))>~((((u&g)|y)&y)))) | ~(~((((m&(f&f))>~(~((u&y))))|(y>g)))) | 0 | 0 | 0 | 0 | not entailment |
~((n|(c>f))) | ~(n) | 1 | 1 | 1 | 1 | entailment |
~((g>(((f|f)|((y&m)|(u&m)))>u))) | ~((((f>(~(f)&(s|y)))>(s>b))&((u|s)&u))) | 1 | 0 | 0 | 0 | entailment |
~((n|(c>f))) | ~((((f>(~(f)&(s|y)))>(s>b))&((u|s)&u))) | 0 | 0 | 0 | 0 | not entailment |
~((g>(((f|f)|((y&m)|(u&m)))>u))) | ~(n) | 0 | 1 | 0 | 0 | not entailment |
~(((s&b)>((~(s)&f)&~(f)))) | (b|((f>u)|s)) | 1 | 1 | 0 | 0 | entailment |
~((((y&(b|b))>(s&y))>((g&n)>c))) | ((u&((m>n)>b))>(f|n)) | 1 | 1 | 0 | 0 | entailment |
~(((s&b)>((~(s)&f)&~(f)))) | ((u&((m>n)>b))>(f|n)) | 0 | 1 | 0 | 0 | not entailment |
~((((y&(b|b))>(s&y))>((g&n)>c))) | (b|((f>u)|s)) | 0 | 1 | 0 | 0 | not entailment |
~((((u>m)|g)|(~(b)>~(n)))) | (~((b&u))&(((~((s&f))|(b>s))|~(n))&u)) | 1 | 0 | 0 | 0 | entailment |
~((y|(s&n))) | ((y>((b|c)&y))|~(~(((f>n)>(c|f))))) | 1 | 0 | 0 | 0 | entailment |
~((((u>m)|g)|(~(b)>~(n)))) | ((y>((b|c)&y))|~(~(((f>n)>(c|f))))) | 0 | 0 | 0 | 0 | not entailment |
~((y|(s&n))) | (~((b&u))&(((~((s&f))|(b>s))|~(n))&u)) | 0 | 0 | 0 | 0 | not entailment |
(((m&y)&((m|(m>g))&b))&(~(m)|c)) | (((y|(n|((m|c)>f)))|~(~((n&~(g)))))|b) | 1 | 0 | 0 | 0 | entailment |
((g>y)>(g&u)) | (g|(((f&f)>b)&(u&((m>(c&g))|c)))) | 1 | 0 | 0 | 0 | entailment |
(((m&y)&((m|(m>g))&b))&(~(m)|c)) | (g|(((f&f)>b)&(u&((m>(c&g))|c)))) | 0 | 1 | 0 | 0 | not entailment |
((g>y)>(g&u)) | (((y|(n|((m|c)>f)))|~(~((n&~(g)))))|b) | 0 | 0 | 0 | 0 | not entailment |
~((b>(b&(u&~(f))))) | ~(~((u|b))) | 1 | 1 | 1 | 0 | entailment |
~(((g&((y>b)&(f&g)))>(((n|m)|b)&(y|u)))) | ~(~((y>(b>(y>(u&u)))))) | 1 | 1 | 1 | 0 | entailment |
~((b>(b&(u&~(f))))) | ~(~((y>(b>(y>(u&u)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((g&((y>b)&(f&g)))>(((n|m)|b)&(y|u)))) | ~(~((u|b))) | 0 | 1 | 1 | 0 | not entailment |
(u&(g>b)) | (u&((~(u)&(b>(c&m)))>~((u&~(y))))) | 1 | 0 | 0 | 0 | entailment |
((~((n&f))|(~(s)|(m|b)))&~(u)) | (u>(~(f)>(y>g))) | 1 | 1 | 0 | 0 | entailment |
(u&(g>b)) | (u>(~(f)>(y>g))) | 0 | 0 | 0 | 0 | not entailment |
((~((n&f))|(~(s)|(m|b)))&~(u)) | (u&((~(u)&(b>(c&m)))>~((u&~(y))))) | 0 | 0 | 0 | 0 | not entailment |
(s|a) | ((((s>(a|(a|a)))>w)>~(s))>a) | 1 | 0 | 0 | 0 | entailment |
((s>((a>(s|a))&a))>~(s)) | (s>~((a&w))) | 1 | 1 | 0 | 0 | entailment |
(s|a) | (s>~((a&w))) | 0 | 0 | 0 | 0 | not entailment |
((s>((a>(s|a))&a))>~(s)) | ((((s>(a|(a|a)))>w)>~(s))>a) | 0 | 0 | 0 | 0 | not entailment |
(s&(a&~(~(((s|s)&((s|s)&(a|w))))))) | ((a|(s>w))&(w>s)) | 1 | 1 | 1 | 0 | entailment |
~(w) | ~(w) | 1 | 1 | 1 | 1 | entailment |
(s&(a&~(~(((s|s)&((s|s)&(a|w))))))) | ~(w) | 0 | 1 | 1 | 0 | not entailment |
~(w) | ((a|(s>w))&(w>s)) | 0 | 0 | 0 | 0 | not entailment |
~((w>((((a|w)|~(a))&s)>a))) | ((s>w)|(~(a)&(a&(w>(w|w))))) | 1 | 1 | 1 | 0 | entailment |
~((~(a)>~(~((w|(a|(s&w))))))) | ((w|a)>~((a|w))) | 1 | 1 | 1 | 1 | entailment |
~((w>((((a|w)|~(a))&s)>a))) | ((w|a)>~((a|w))) | 0 | 1 | 1 | 0 | not entailment |
~((~(a)>~(~((w|(a|(s&w))))))) | ((s>w)|(~(a)&(a&(w>(w|w))))) | 0 | 1 | 1 | 0 | not entailment |
(~((~((~(w)>a))>a))&(s|~((a>s)))) | ~(((s>w)|w)) | 1 | 1 | 1 | 1 | entailment |
(~(((s&w)>(s|(w&w))))|(w&a)) | (((w&w)&a)|a) | 1 | 1 | 1 | 1 | entailment |
(~((~((~(w)>a))>a))&(s|~((a>s)))) | (((w&w)&a)|a) | 0 | 1 | 1 | 0 | not entailment |
(~(((s&w)>(s|(w&w))))|(w&a)) | ~(((s>w)|w)) | 0 | 1 | 1 | 1 | not entailment |
~((((a>w)>(a&w))&~((((s>s)&~(a))&a)))) | ((~((w&~(w)))>~((a|s)))|(s|w)) | 1 | 1 | 1 | 1 | entailment |
(((s&(a>s))>a)|~(~(~(~((~(s)&w)))))) | (~(~((s&(((~(s)>w)&(w|(a&w)))>a))))>a) | 1 | 1 | 1 | 0 | entailment |
~((((a>w)>(a&w))&~((((s>s)&~(a))&a)))) | (~(~((s&(((~(s)>w)&(w|(a&w)))>a))))>a) | 0 | 1 | 1 | 1 | not entailment |
(((s&(a>s))>a)|~(~(~(~((~(s)&w)))))) | ((~((w&~(w)))>~((a|s)))|(s|w)) | 0 | 1 | 1 | 0 | not entailment |
((w|a)&(~(a)&s)) | (((s>w)&s)|~(~((a>w)))) | 1 | 0 | 1 | 0 | entailment |
((~((w|(s>(~(w)|a))))&~(a))|(s&a)) | ~(~((s>a))) | 1 | 1 | 1 | 0 | entailment |
((w|a)&(~(a)&s)) | ~(~((s>a))) | 0 | 1 | 1 | 0 | not entailment |
((~((w|(s>(~(w)|a))))&~(a))|(s&a)) | (((s>w)&s)|~(~((a>w)))) | 0 | 1 | 1 | 0 | not entailment |
(((~((a|~(s)))|a)&s)&(a>w)) | (w>((~((a|(~(s)>w)))&w)|s)) | 1 | 1 | 1 | 0 | entailment |
(a&(((~(a)>s)>w)|((w&w)&a))) | ~(~(w)) | 1 | 1 | 1 | 1 | entailment |
(((~((a|~(s)))|a)&s)&(a>w)) | ~(~(w)) | 0 | 1 | 1 | 1 | not entailment |
(a&(((~(a)>s)>w)|((w&w)&a))) | (w>((~((a|(~(s)>w)))&w)|s)) | 0 | 1 | 1 | 0 | not entailment |
(s&~((s>a))) | ~((w&a)) | 1 | 1 | 0 | 0 | entailment |
(((s>a)&(w&a))&((w&(~(s)|a))&~(s))) | (w|a) | 1 | 1 | 1 | 1 | entailment |
(s&~((s>a))) | (w|a) | 0 | 1 | 0 | 0 | not entailment |
(((s>a)&(w&a))&((w&(~(s)|a))&~(s))) | ~((w&a)) | 0 | 1 | 1 | 0 | not entailment |
(((a&a)>(a|w))&w) | ((w>(s>a))>w) | 1 | 1 | 0 | 0 | entailment |
(s>~((a|s))) | (s>(~(w)&s)) | 1 | 1 | 0 | 0 | entailment |
(((a&a)>(a|w))&w) | (s>(~(w)&s)) | 0 | 1 | 0 | 0 | not entailment |
(s>~((a|s))) | ((w>(s>a))>w) | 0 | 1 | 0 | 0 | not entailment |
((a&s)|((~(s)&w)|(a&~(~(w))))) | ((w|s)|~(~((a|s)))) | 1 | 1 | 1 | 1 | entailment |
~(~(((w|a)>(a&(a|s))))) | (a|~(~((w>s)))) | 1 | 1 | 1 | 1 | entailment |
((a&s)|((~(s)&w)|(a&~(~(w))))) | (a|~(~((w>s)))) | 0 | 1 | 1 | 0 | not entailment |
~(~(((w|a)>(a&(a|s))))) | ((w|s)|~(~((a|s)))) | 0 | 1 | 1 | 0 | not entailment |
~(((a|s)|a)) | ((a&w)|(a>s)) | 1 | 1 | 0 | 0 | entailment |
~((~(w)&(a>(a>s)))) | (((w>a)&(((a&~(((w|a)|s)))|s)&w))|(a|w)) | 1 | 0 | 1 | 0 | entailment |
~(((a|s)|a)) | (((w>a)&(((a&~(((w|a)|s)))|s)&w))|(a|w)) | 0 | 0 | 0 | 0 | not entailment |
~((~(w)&(a>(a>s)))) | ((a&w)|(a>s)) | 0 | 1 | 1 | 0 | not entailment |
((s>w)&(~(a)|a)) | (((w&a)|s)>w) | 1 | 1 | 1 | 0 | entailment |
(((~((w&a))&s)|(a>s))&a) | ((~(((~(w)>(w>s))|a))>(w>a))>~(~(s))) | 1 | 0 | 1 | 0 | entailment |
((s>w)&(~(a)|a)) | ((~(((~(w)>(w>s))|a))>(w>a))>~(~(s))) | 0 | 0 | 1 | 0 | not entailment |
(((~((w&a))&s)|(a>s))&a) | (((w&a)|s)>w) | 0 | 1 | 1 | 0 | not entailment |
(((w&((a|w)>w))|(a|s))>~((a>(~(s)>w)))) | ~((((((s>w)|(s|a))|s)&s)|((w&a)&(s|a)))) | 1 | 1 | 1 | 0 | entailment |
~((s>(w>a))) | ((w&a)|(s&(((w>a)>(a&a))&(w|w)))) | 1 | 0 | 1 | 0 | entailment |
(((w&((a|w)>w))|(a|s))>~((a>(~(s)>w)))) | ((w&a)|(s&(((w>a)>(a&a))&(w|w)))) | 0 | 1 | 1 | 0 | not entailment |
~((s>(w>a))) | ~((((((s>w)|(s|a))|s)&s)|((w&a)&(s|a)))) | 0 | 0 | 1 | 0 | not entailment |
((w&(w>s))&s) | (w|a) | 1 | 1 | 0 | 0 | entailment |
(~(s)&((a&a)>(~(w)|(w>s)))) | (~(s)|a) | 1 | 1 | 1 | 0 | entailment |
((w&(w>s))&s) | (~(s)|a) | 0 | 1 | 0 | 0 | not entailment |
(~(s)&((a&a)>(~(w)|(w>s)))) | (w|a) | 0 | 1 | 1 | 0 | not entailment |
~((m>~((m&n)))) | (b|m) | 1 | 1 | 0 | 0 | entailment |
~(~(((g|n)>(b&b)))) | ((n>b)&((b>b)|b)) | 1 | 1 | 1 | 0 | entailment |
~((m>~((m&n)))) | ((n>b)&((b>b)|b)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((g|n)>(b&b)))) | (b|m) | 0 | 1 | 0 | 0 | not entailment |
~((((~(g)|m)&g)>(n|b))) | (n>~(g)) | 1 | 1 | 1 | 1 | entailment |
((b|n)&b) | ~(~(((b&(m>m))&(g|(b|n))))) | 1 | 0 | 0 | 0 | entailment |
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