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 |
|---|---|---|---|---|---|---|
((t&b)&((i|a)>(m&g))) | (t|((a>~(~(b)))|g)) | 1 | 1 | 1 | 1 | entailment |
(m&~(~(~((u>x))))) | (~((g>(t&(b&x))))>u) | 1 | 1 | 0 | 0 | entailment |
((t&b)&((i|a)>(m&g))) | (~((g>(t&(b&x))))>u) | 0 | 1 | 0 | 0 | not entailment |
(m&~(~(~((u>x))))) | (t|((a>~(~(b)))|g)) | 0 | 1 | 0 | 0 | not entailment |
((u&a)&(b>(u>((m|x)>(b&b))))) | ((t|~((m&(i|m))))|((t|(a>i))>((b>i)|g))) | 1 | 0 | 0 | 0 | entailment |
~(((b>u)>((x>b)>x))) | ~((x&((x&(t>(((i>m)|i)|(g|b))))&x))) | 1 | 0 | 0 | 0 | entailment |
((u&a)&(b>(u>((m|x)>(b&b))))) | ~((x&((x&(t>(((i>m)|i)|(g|b))))&x))) | 0 | 0 | 0 | 0 | not entailment |
~(((b>u)>((x>b)>x))) | ((t|~((m&(i|m))))|((t|(a>i))>((b>i)|g))) | 0 | 0 | 0 | 0 | not entailment |
(a&(t&~(((m&u)&~(x))))) | ((((x|u)>(u&a))|~((~(i)|~(g))))|a) | 1 | 0 | 0 | 0 | entailment |
(((m>~(((g>a)>b)))|x)|(g&~(x))) | ((b>x)|((b&g)|~(((x>m)>(x|m))))) | 1 | 1 | 1 | 0 | entailment |
(a&(t&~(((m&u)&~(x))))) | ((b>x)|((b&g)|~(((x>m)>(x|m))))) | 0 | 0 | 0 | 0 | not entailment |
(((m>~(((g>a)>b)))|x)|(g&~(x))) | ((((x|u)>(u&a))|~((~(i)|~(g))))|a) | 0 | 0 | 0 | 0 | not entailment |
~(((a|(a&m))|(~((x>u))|(~(b)>g)))) | ((((u>u)&~(a))&(g|i))>(b>~(b))) | 1 | 1 | 0 | 0 | entailment |
(t&(b&b)) | ~(~(b)) | 1 | 1 | 1 | 1 | entailment |
~(((a|(a&m))|(~((x>u))|(~(b)>g)))) | ~(~(b)) | 0 | 1 | 1 | 0 | not entailment |
(t&(b&b)) | ((((u>u)&~(a))&(g|i))>(b>~(b))) | 0 | 0 | 0 | 0 | not entailment |
(a&(i|a)) | ~(~(a)) | 1 | 1 | 1 | 1 | entailment |
~((~((b>~((x>t))))>(a|t))) | (b|(b&b)) | 1 | 1 | 1 | 1 | entailment |
(a&(i|a)) | (b|(b&b)) | 0 | 1 | 0 | 0 | not entailment |
~((~((b>~((x>t))))>(a|t))) | ~(~(a)) | 0 | 1 | 1 | 0 | not entailment |
~(~(((b|(a|x))>(((g>m)>m)&(g>u))))) | ((u|x)>(~((u|m))>~(b))) | 1 | 1 | 1 | 0 | entailment |
~((u|t)) | ~(((m&b)&(~(t)>u))) | 1 | 0 | 0 | 0 | entailment |
~(~(((b|(a|x))>(((g>m)>m)&(g>u))))) | ~(((m&b)&(~(t)>u))) | 0 | 1 | 0 | 0 | not entailment |
~((u|t)) | ((u|x)>(~((u|m))>~(b))) | 0 | 0 | 0 | 0 | not entailment |
(m&(((t|m)|x)|(u>i))) | ((t>m)&~((~(~((m>b)))&~(b)))) | 1 | 0 | 0 | 0 | entailment |
~((~((t>u))|b)) | (~(~(t))>((b|i)>i)) | 1 | 0 | 0 | 0 | entailment |
(m&(((t|m)|x)|(u>i))) | (~(~(t))>((b|i)>i)) | 0 | 1 | 0 | 0 | not entailment |
~((~((t>u))|b)) | ((t>m)&~((~(~((m>b)))&~(b)))) | 0 | 0 | 0 | 0 | not entailment |
((u&(t>t))&~(((((m|u)&(b&g))&b)|~(t)))) | (((g>g)>(m>a))|(~((i&g))|t)) | 1 | 1 | 0 | 0 | entailment |
(((x>(((b&u)>x)|m))|(a|t))>~(((u>a)|t))) | (((t&m)&g)>b) | 1 | 1 | 0 | 0 | entailment |
((u&(t>t))&~(((((m|u)&(b&g))&b)|~(t)))) | (((t&m)&g)>b) | 0 | 1 | 1 | 0 | not entailment |
(((x>(((b&u)>x)|m))|(a|t))>~(((u>a)|t))) | (((g>g)>(m>a))|(~((i&g))|t)) | 0 | 1 | 0 | 0 | not entailment |
~(((a|u)|g)) | (u|(~((a>u))>(a&x))) | 1 | 0 | 0 | 0 | entailment |
~((i|(t&((g>u)|(i&m))))) | (((u|a)|g)|((i>(x&m))|g)) | 1 | 1 | 0 | 0 | entailment |
~(((a|u)|g)) | (((u|a)|g)|((i>(x&m))|g)) | 0 | 0 | 0 | 0 | not entailment |
~((i|(t&((g>u)|(i&m))))) | (u|(~((a>u))>(a&x))) | 0 | 1 | 0 | 0 | not entailment |
(~((~(b)|~((i&i))))&(a>u)) | (b>((((t&i)|g)&u)|i)) | 1 | 1 | 0 | 0 | entailment |
(t&g) | (x>(g|g)) | 1 | 0 | 0 | 0 | entailment |
(~((~(b)|~((i&i))))&(a>u)) | (x>(g|g)) | 0 | 1 | 0 | 0 | not entailment |
(t&g) | (b>((((t&i)|g)&u)|i)) | 0 | 0 | 0 | 0 | not entailment |
~(~((((o&u)&y)&(u|o)))) | (o|(~((u|u))>(((v|y)|q)&~(q)))) | 1 | 0 | 0 | 0 | entailment |
((o|q)>(((v&q)>o)&(o>f))) | ((v&(o&v))>f) | 1 | 1 | 1 | 1 | entailment |
~(~((((o&u)&y)&(u|o)))) | ((v&(o&v))>f) | 0 | 1 | 0 | 0 | not entailment |
((o|q)>(((v&q)>o)&(o>f))) | (o|(~((u|u))>(((v|y)|q)&~(q)))) | 0 | 0 | 0 | 0 | not entailment |
~((((~(o)>(f|y))>(v|v))>(u|(q>v)))) | (u>q) | 1 | 1 | 1 | 1 | entailment |
~((~(u)|((v&(~(v)|(v|f)))>(f|~(v))))) | (v|y) | 1 | 1 | 0 | 0 | entailment |
~((((~(o)>(f|y))>(v|v))>(u|(q>v)))) | (v|y) | 0 | 1 | 1 | 0 | not entailment |
~((~(u)|((v&(~(v)|(v|f)))>(f|~(v))))) | (u>q) | 0 | 1 | 0 | 0 | not entailment |
~(~(v)) | (v|((y>u)|(v|~(((f>y)&y))))) | 1 | 0 | 0 | 0 | entailment |
(~(((~((f|f))>o)&~(u)))&y) | (((q&o)|y)|((v&q)&v)) | 1 | 1 | 0 | 0 | entailment |
~(~(v)) | (((q&o)|y)|((v&q)&v)) | 0 | 0 | 0 | 0 | not entailment |
(~(((~((f|f))>o)&~(u)))&y) | (v|((y>u)|(v|~(((f>y)&y))))) | 0 | 1 | 0 | 0 | not entailment |
~(o) | (o>(u&q)) | 1 | 0 | 0 | 0 | entailment |
((o&o)|((((f>(y&y))&q)&(q>u))&v)) | (~((o>((y|v)|f)))|~(~(((v|o)|(y|q))))) | 1 | 0 | 1 | 0 | entailment |
~(o) | (~((o>((y|v)|f)))|~(~(((v|o)|(y|q))))) | 0 | 0 | 0 | 0 | not entailment |
((o&o)|((((f>(y&y))&q)&(q>u))&v)) | (o>(u&q)) | 0 | 1 | 1 | 0 | not entailment |
(f>((y&(u&f))&~((q&~(~(y)))))) | (y|(y|(f>v))) | 1 | 1 | 0 | 0 | entailment |
(~(((f|u)>((v&y)>v)))|(v|f)) | (((y|y)|v)|(y|f)) | 1 | 1 | 1 | 1 | entailment |
(f>((y&(u&f))&~((q&~(~(y)))))) | (((y|y)|v)|(y|f)) | 0 | 1 | 0 | 0 | not entailment |
(~(((f|u)>((v&y)>v)))|(v|f)) | (y|(y|(f>v))) | 0 | 1 | 1 | 0 | not entailment |
(((~(o)>~(y))>(~((~(~(u))|q))&y))&u) | (~((v&v))|u) | 1 | 1 | 0 | 0 | entailment |
(~(y)|(o&~((f|(((v&o)&v)|y))))) | (((q&(o>q))|q)>((~((u>(u&f)))>~(y))&q)) | 1 | 0 | 0 | 0 | entailment |
(((~(o)>~(y))>(~((~(~(u))|q))&y))&u) | (((q&(o>q))|q)>((~((u>(u&f)))>~(y))&q)) | 0 | 1 | 0 | 0 | not entailment |
(~(y)|(o&~((f|(((v&o)&v)|y))))) | (~((v&v))|u) | 0 | 1 | 0 | 0 | not entailment |
~(((~((o>o))|(q>f))|u)) | ((~(f)|(f|(y>q)))&(q&~(f))) | 1 | 0 | 0 | 0 | entailment |
((((y>v)|y)&u)&(u&q)) | ((y>~(o))>~((~(u)&~(f)))) | 1 | 0 | 0 | 0 | entailment |
~(((~((o>o))|(q>f))|u)) | ((y>~(o))>~((~(u)&~(f)))) | 0 | 0 | 0 | 0 | not entailment |
((((y>v)|y)&u)&(u&q)) | ((~(f)|(f|(y>q)))&(q&~(f))) | 0 | 0 | 0 | 0 | not entailment |
(~((v>(v&(o|y))))&~(y)) | (q|~(o)) | 1 | 1 | 0 | 0 | entailment |
~(((v&~(((y|u)>(q&o))))>~(f))) | (~(f)>y) | 1 | 1 | 1 | 1 | entailment |
(~((v>(v&(o|y))))&~(y)) | (~(f)>y) | 0 | 1 | 0 | 0 | not entailment |
~(((v&~(((y|u)>(q&o))))>~(f))) | (q|~(o)) | 0 | 1 | 1 | 0 | not entailment |
(((y|q)&u)&(q|q)) | (f>(u|v)) | 1 | 1 | 0 | 0 | entailment |
~((((f&q)>y)>v)) | (v>(f&(y|f))) | 1 | 1 | 1 | 0 | entailment |
(((y|q)&u)&(q|q)) | (v>(f&(y|f))) | 0 | 1 | 0 | 0 | not entailment |
~((((f&q)>y)>v)) | (f>(u|v)) | 0 | 1 | 0 | 0 | not entailment |
~((~((o>y))>v)) | (((u|(f&y))&u)|((o|o)|u)) | 1 | 0 | 0 | 0 | entailment |
(~((((((v|f)>v)&q)|u)|f))&(~((v&q))>y)) | ((q>(v|f))>(~(f)>(~(y)>y))) | 1 | 1 | 1 | 1 | entailment |
~((~((o>y))>v)) | ((q>(v|f))>(~(f)>(~(y)>y))) | 0 | 0 | 0 | 0 | not entailment |
(~((((((v|f)>v)&q)|u)|f))&(~((v&q))>y)) | (((u|(f&y))&u)|((o|o)|u)) | 0 | 1 | 0 | 0 | not entailment |
((o&q)&(y>~(((o>f)&u)))) | (u|o) | 1 | 1 | 1 | 0 | entailment |
~((((u|y)>q)>~(v))) | ~((~((f|v))&((u&(q&o))>y))) | 1 | 0 | 0 | 0 | entailment |
((o&q)&(y>~(((o>f)&u)))) | ~((~((f|v))&((u&(q&o))>y))) | 0 | 0 | 0 | 0 | not entailment |
~((((u|y)>q)>~(v))) | (u|o) | 0 | 1 | 0 | 0 | not entailment |
(~(~(o))&~((u&~(~((~(q)|q)))))) | (((f&q)|(q|u))>o) | 1 | 1 | 0 | 0 | entailment |
(y&q) | ((f&o)|y) | 1 | 0 | 0 | 0 | entailment |
(~(~(o))&~((u&~(~((~(q)|q)))))) | ((f&o)|y) | 0 | 1 | 0 | 0 | not entailment |
(y&q) | (((f&q)|(q|u))>o) | 0 | 0 | 0 | 0 | not entailment |
~((q>(~(((y|u)>~((y|f))))|(f&v)))) | ~(~(((q&~(((q|y)&o)))|q))) | 1 | 1 | 0 | 0 | entailment |
((q>q)&~(((y>o)&(y>((f|q)&q))))) | (((q&f)>y)|y) | 1 | 1 | 1 | 1 | entailment |
~((q>(~(((y|u)>~((y|f))))|(f&v)))) | (((q&f)>y)|y) | 0 | 1 | 1 | 0 | not entailment |
((q>q)&~(((y>o)&(y>((f|q)&q))))) | ~(~(((q&~(((q|y)&o)))|q))) | 0 | 1 | 1 | 0 | not entailment |
(~((((v>v)>~((o>f)))>(u>(o>v))))|~(y)) | ~(~((((o&(u>u))&y)>u))) | 1 | 1 | 1 | 0 | entailment |
((((f|y)>q)>o)&~(~((v>(f|q))))) | (v>((f&v)|(f|q))) | 1 | 1 | 1 | 0 | entailment |
(~((((v>v)>~((o>f)))>(u>(o>v))))|~(y)) | (v>((f&v)|(f|q))) | 0 | 1 | 0 | 0 | not entailment |
((((f|y)>q)>o)&~(~((v>(f|q))))) | ~(~((((o&(u>u))&y)>u))) | 0 | 1 | 0 | 0 | not entailment |
((v|y)&(q&u)) | (((u|(u|y))&~((f|y)))>~(((v&q)>f))) | 1 | 0 | 0 | 0 | entailment |
((~(~(q))&o)&~(((o&f)&((o>u)>y)))) | (f|o) | 1 | 1 | 1 | 0 | entailment |
((v|y)&(q&u)) | (f|o) | 0 | 1 | 0 | 0 | not entailment |
((~(~(q))&o)&~(((o&f)&((o>u)>y)))) | (((u|(u|y))&~((f|y)))>~(((v&q)>f))) | 0 | 1 | 0 | 0 | not entailment |
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