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 |
|---|---|---|---|---|---|---|
(~(i)&((i>(q>q))>(w&q))) | (a|~(e)) | 0 | 1 | 0 | 0 | not entailment |
((i&((e|a)>(i>a)))&(~(a)|q)) | ~((i&~((((q&w)&a)&i)))) | 0 | 1 | 0 | 0 | not entailment |
~(((s>~((i>s)))>(e>a))) | ((e|((q&s)&y))|(s&y)) | 1 | 1 | 0 | 0 | entailment |
~(((q|w)|((a>(i&(w>e)))|y))) | (y>~(~((i|~(~(s)))))) | 1 | 1 | 0 | 0 | entailment |
~(((s>~((i>s)))>(e>a))) | (y>~(~((i|~(~(s)))))) | 0 | 1 | 0 | 0 | not entailment |
~(((q|w)|((a>(i&(w>e)))|y))) | ((e|((q&s)&y))|(s&y)) | 0 | 1 | 0 | 0 | not entailment |
(w|(~((w|((~(q)>((a>i)&q))|i)))&w)) | (w|~((y>e))) | 1 | 1 | 0 | 0 | entailment |
~((s>(a&w))) | (((w&q)|a)>s) | 1 | 1 | 0 | 0 | entailment |
(w|(~((w|((~(q)>((a>i)&q))|i)))&w)) | (((w&q)|a)>s) | 0 | 1 | 0 | 0 | not entailment |
~((s>(a&w))) | (w|~((y>e))) | 0 | 1 | 0 | 0 | not entailment |
((i>q)&((~(w)&s)&q)) | ((i>w)|s) | 1 | 1 | 1 | 0 | entailment |
(((i&e)>y)&~(y)) | ~((((((e>w)>(e&i))|((q>q)&i))&y)&e)) | 1 | 0 | 0 | 0 | entailment |
((i>q)&((~(w)&s)&q)) | ~((((((e>w)>(e&i))|((q>q)&i))&y)&e)) | 0 | 0 | 0 | 0 | not entailment |
(((i&e)>y)&~(y)) | ((i>w)|s) | 0 | 1 | 0 | 0 | not entailment |
(((i>a)>(w|w))&(~(i)&(i|s))) | (((s|q)&(i>s))|~(y)) | 1 | 1 | 0 | 0 | entailment |
((((w|s)|(s>q))>((y&~(a))&e))&(q>~(y))) | ((((q&e)>y)|a)&((a|(q&(i&~(e))))>i)) | 1 | 1 | 0 | 0 | entailment |
(((i>a)>(w|w))&(~(i)&(i|s))) | ((((q&e)>y)|a)&((a|(q&(i&~(e))))>i)) | 0 | 0 | 0 | 0 | not entailment |
((((w|s)|(s>q))>((y&~(a))&e))&(q>~(y))) | (((s|q)&(i>s))|~(y)) | 0 | 1 | 0 | 0 | not entailment |
(s&i) | (e|i) | 1 | 1 | 0 | 0 | entailment |
~(~(~(~((y|y))))) | ((~(~((s|~(e))))|y)&((w>i)>((a&e)>y))) | 1 | 0 | 0 | 0 | entailment |
(s&i) | ((~(~((s|~(e))))|y)&((w>i)>((a&e)>y))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(~((y|y))))) | (e|i) | 0 | 1 | 0 | 0 | not entailment |
(q&(e|q)) | (q|i) | 1 | 1 | 0 | 0 | entailment |
(~((((e|y)|q)>(y|a)))&(~(a)>(~(i)&w))) | ((w|~((i>q)))|((a>i)>i)) | 1 | 1 | 1 | 0 | entailment |
(q&(e|q)) | ((w|~((i>q)))|((a>i)>i)) | 0 | 0 | 0 | 0 | not entailment |
(~((((e|y)|q)>(y|a)))&(~(a)>(~(i)&w))) | (q|i) | 0 | 1 | 1 | 0 | not entailment |
~(i) | ~((i&i)) | 1 | 0 | 1 | 1 | entailment |
~(w) | ~((((~((e>i))|q)&(q&w))&(y&(e&w)))) | 1 | 0 | 0 | 0 | entailment |
~(i) | ~((((~((e>i))|q)&(q&w))&(y&(e&w)))) | 0 | 0 | 0 | 0 | not entailment |
~(w) | ~((i&i)) | 0 | 0 | 0 | 0 | not entailment |
~((((~(~(f))&s)|~(x))|(s&x))) | ((l&g)>(g>(~(s)&(x>l)))) | 1 | 1 | 0 | 0 | entailment |
(f|s) | (~(f)>s) | 1 | 0 | 1 | 1 | entailment |
~((((~(~(f))&s)|~(x))|(s&x))) | (~(f)>s) | 0 | 1 | 1 | 0 | not entailment |
(f|s) | ((l&g)>(g>(~(s)&(x>l)))) | 0 | 0 | 0 | 0 | not entailment |
((f>((x&~(s))&((s&s)>f)))&f) | ((l>u)>x) | 1 | 1 | 0 | 0 | entailment |
((x|f)&(l&(((s>f)&(l&l))&((u>s)&(f&l))))) | (((g&x)|u)|(~(~(~(f)))|l)) | 1 | 1 | 0 | 0 | entailment |
((f>((x&~(s))&((s&s)>f)))&f) | (((g&x)|u)|(~(~(~(f)))|l)) | 0 | 1 | 0 | 0 | not entailment |
((x|f)&(l&(((s>f)&(l&l))&((u>s)&(f&l))))) | ((l>u)>x) | 0 | 1 | 1 | 1 | not entailment |
(~(~((~((s&f))|g)))&(s&(u&g))) | ((x|s)&u) | 1 | 1 | 0 | 0 | entailment |
(f&(s&x)) | ~(~(((~(((f>u)>f))>~((s>x)))|(g&f)))) | 1 | 0 | 0 | 0 | entailment |
(~(~((~((s&f))|g)))&(s&(u&g))) | ~(~(((~(((f>u)>f))>~((s>x)))|(g&f)))) | 0 | 0 | 0 | 0 | not entailment |
(f&(s&x)) | ((x|s)&u) | 0 | 1 | 0 | 0 | not entailment |
(u&(u&(g&f))) | (((g>(f>s))&~((f|g)))>(g|(s|x))) | 1 | 0 | 0 | 0 | entailment |
((g>~(~(x)))&(~(f)&(~(g)>l))) | (g>((g&s)>x)) | 1 | 1 | 0 | 0 | entailment |
(u&(u&(g&f))) | (g>((g&s)>x)) | 0 | 1 | 0 | 0 | not entailment |
((g>~(~(x)))&(~(f)&(~(g)>l))) | (((g>(f>s))&~((f|g)))>(g|(s|x))) | 0 | 1 | 0 | 0 | not entailment |
(g&x) | ~(~((g|(~((f|(x&x)))>x)))) | 1 | 0 | 0 | 0 | entailment |
~(((g|x)|((g>(g|g))&(u|f)))) | (x>l) | 1 | 1 | 0 | 0 | entailment |
(g&x) | (x>l) | 0 | 1 | 0 | 0 | not entailment |
~(((g|x)|((g>(g|g))&(u|f)))) | ~(~((g|(~((f|(x&x)))>x)))) | 0 | 1 | 1 | 0 | not entailment |
~(((f|~((x>s)))>((x|s)|(u|s)))) | ((s&u)|(g>(~(u)|(x|f)))) | 1 | 1 | 0 | 0 | entailment |
~((l>x)) | (g>l) | 1 | 1 | 0 | 0 | entailment |
~(((f|~((x>s)))>((x|s)|(u|s)))) | (g>l) | 0 | 1 | 0 | 0 | not entailment |
~((l>x)) | ((s&u)|(g>(~(u)|(x|f)))) | 0 | 0 | 0 | 0 | not entailment |
~((u>(~(s)>((u>f)&u)))) | ~((l&s)) | 1 | 1 | 0 | 0 | entailment |
((x&s)|x) | (~(g)>(x|g)) | 1 | 0 | 0 | 0 | entailment |
~((u>(~(s)>((u>f)&u)))) | (~(g)>(x|g)) | 0 | 1 | 0 | 0 | not entailment |
((x&s)|x) | ~((l&s)) | 0 | 1 | 0 | 0 | not entailment |
(s>((s|g)>u)) | (~((~(~((x|s)))&s))|(x|u)) | 1 | 0 | 0 | 0 | entailment |
(l&((~((((l&x)|x)|x))&((f>x)&f))|(l>f))) | ((((g&s)|f)>~(x))>(((u|u)>s)>((s&l)|l))) | 1 | 1 | 0 | 0 | entailment |
(s>((s|g)>u)) | ((((g&s)|f)>~(x))>(((u|u)>s)>((s&l)|l))) | 0 | 0 | 0 | 0 | not entailment |
(l&((~((((l&x)|x)|x))&((f>x)&f))|(l>f))) | (~((~(~((x|s)))&s))|(x|u)) | 0 | 1 | 0 | 0 | not entailment |
(s&u) | (s|((u|(s|u))&~((l>l)))) | 1 | 0 | 0 | 0 | entailment |
((~(g)|(g&s))&((x|((x&x)&x))&~((u&x)))) | (x|g) | 1 | 1 | 1 | 1 | entailment |
(s&u) | (x|g) | 0 | 1 | 0 | 0 | not entailment |
((~(g)|(g&s))&((x|((x&x)&x))&~((u&x)))) | (s|((u|(s|u))&~((l>l)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((f>g))&u))) | (g|u) | 1 | 1 | 1 | 0 | entailment |
(~((~(~(f))&(~(g)&~(((f&g)&g)))))&x) | (~(f)|((f&u)>(g|g))) | 1 | 1 | 0 | 0 | entailment |
~(~((~((f>g))&u))) | (~(f)|((f&u)>(g|g))) | 0 | 1 | 1 | 0 | not entailment |
(~((~(~(f))&(~(g)&~(((f&g)&g)))))&x) | (g|u) | 0 | 1 | 0 | 0 | not entailment |
(f&(l|l)) | ((s>l)&((x|f)|(f|(l|(x|u))))) | 1 | 0 | 0 | 0 | entailment |
((g&u)&~((g&(u>(l|(f|x)))))) | ~((u>(f&s))) | 1 | 1 | 0 | 0 | entailment |
(f&(l|l)) | ~((u>(f&s))) | 0 | 0 | 0 | 0 | not entailment |
((g&u)&~((g&(u>(l|(f|x)))))) | ((s>l)&((x|f)|(f|(l|(x|u))))) | 0 | 1 | 0 | 0 | not entailment |
((x&(l&l))&(~((s&u))>~(~((s|f))))) | ((~(u)>((l|f)&s))>l) | 1 | 1 | 1 | 0 | entailment |
((~((g|~((s&~(g)))))>u)>(g>u)) | ~((g&~((((g>l)&f)>u)))) | 1 | 1 | 0 | 0 | entailment |
((x&(l&l))&(~((s&u))>~(~((s|f))))) | ~((g&~((((g>l)&f)>u)))) | 0 | 1 | 0 | 0 | not entailment |
((~((g|~((s&~(g)))))>u)>(g>u)) | ((~(u)>((l|f)&s))>l) | 0 | 1 | 0 | 0 | not entailment |
(s|~(((s>l)|(f&((s&u)>s))))) | ((s&(g|x))|(~(g)&~(x))) | 1 | 1 | 0 | 0 | entailment |
((u&~((f&s)))&~(~(~(g)))) | ~((g&((((x|f)|x)>g)>(~(x)|(s&l))))) | 1 | 0 | 0 | 0 | entailment |
(s|~(((s>l)|(f&((s&u)>s))))) | ~((g&((((x|f)|x)>g)>(~(x)|(s&l))))) | 0 | 0 | 0 | 0 | not entailment |
((u&~((f&s)))&~(~(~(g)))) | ((s&(g|x))|(~(g)&~(x))) | 0 | 1 | 0 | 0 | not entailment |
~((s>(u>x))) | (~((~(u)&g))|(f&u)) | 1 | 0 | 0 | 0 | entailment |
~(~(((s|~(((f|s)&u)))&x))) | (x|g) | 1 | 1 | 0 | 0 | entailment |
~((s>(u>x))) | (x|g) | 0 | 1 | 0 | 0 | not entailment |
~(~(((s|~(((f|s)&u)))&x))) | (~((~(u)&g))|(f&u)) | 0 | 1 | 0 | 0 | not entailment |
~(((~((u>((g|l)&x)))|(s>l))|(s>(s>g)))) | (l>(s>~((l>(~((x|(l>x)))|~(l)))))) | 1 | 1 | 1 | 0 | entailment |
((u>l)>(l&(x>g))) | ((((x&(g&s))>u)>(u|f))|(s>l)) | 1 | 0 | 0 | 0 | entailment |
~(((~((u>((g|l)&x)))|(s>l))|(s>(s>g)))) | ((((x&(g&s))>u)>(u|f))|(s>l)) | 0 | 1 | 0 | 0 | not entailment |
((u>l)>(l&(x>g))) | (l>(s>~((l>(~((x|(l>x)))|~(l)))))) | 0 | 0 | 0 | 0 | not entailment |
(x|(u&x)) | (~(~(((~((g&(u|l)))&x)|x)))|(g>s)) | 1 | 0 | 0 | 0 | entailment |
~((((x&(f&g))|(g&x))|x)) | (x>(s&(f&f))) | 1 | 1 | 0 | 0 | entailment |
(x|(u&x)) | (x>(s&(f&f))) | 0 | 0 | 0 | 0 | not entailment |
~((((x&(f&g))|(g&x))|x)) | (~(~(((~((g&(u|l)))&x)|x)))|(g>s)) | 0 | 0 | 0 | 0 | not entailment |
~((((~(x)&(s|g))&~(f))|(f|x))) | (x>(g&f)) | 1 | 1 | 1 | 0 | entailment |
~((~((f&f))|~((s|g)))) | ~(~(f)) | 1 | 1 | 1 | 1 | entailment |
~((((~(x)&(s|g))&~(f))|(f|x))) | ~(~(f)) | 0 | 1 | 1 | 1 | not entailment |
~((~((f&f))|~((s|g)))) | (x>(g&f)) | 0 | 1 | 0 | 0 | not entailment |
~(((u>(((f>x)|(~(f)|f))&f))>((x|g)|s))) | (l>~(x)) | 1 | 1 | 0 | 0 | entailment |
((l|s)&((x|(x&g))|x)) | (~((u|x))>(g&x)) | 1 | 1 | 0 | 0 | entailment |
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