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 |
|---|---|---|---|---|---|---|
(p|(b|j)) | ((p|(u>((u&a)>j)))|b) | 1 | 0 | 0 | 0 | entailment |
((x&a)&((u>l)>g)) | ((p|(u>((u&a)>j)))|b) | 0 | 0 | 0 | 0 | not entailment |
(p|(b|j)) | (~(a)>l) | 0 | 1 | 0 | 0 | not entailment |
(j&~(~(a))) | ((x>(x|z))&(((j|(a>x))&j)|l)) | 1 | 0 | 0 | 0 | entailment |
~((g|~(((p>b)>i)))) | (g>l) | 1 | 1 | 0 | 0 | entailment |
(j&~(~(a))) | (g>l) | 0 | 1 | 0 | 0 | not entailment |
~((g|~(((p>b)>i)))) | ((x>(x|z))&(((j|(a>x))&j)|l)) | 0 | 0 | 0 | 0 | not entailment |
~(((x>(~(((a>p)&l))|~(l)))|a)) | (((i|a)>(((l|j)&p)&~(x)))>(((j|a)>p)|x)) | 1 | 0 | 0 | 0 | entailment |
~(x) | ((b|(l&u))|(g>~(x))) | 1 | 0 | 0 | 0 | entailment |
~(((x>(~(((a>p)&l))|~(l)))|a)) | ((b|(l&u))|(g>~(x))) | 0 | 1 | 0 | 0 | not entailment |
~(x) | (((i|a)>(((l|j)&p)&~(x)))>(((j|a)>p)|x)) | 0 | 0 | 0 | 0 | not entailment |
(p&(i|u)) | ((p|a)|(l&(u>l))) | 1 | 0 | 0 | 0 | entailment |
(u>g) | (u>g) | 1 | 1 | 1 | 1 | entailment |
(p&(i|u)) | (u>g) | 0 | 1 | 0 | 0 | not entailment |
(u>g) | ((p|a)|(l&(u>l))) | 0 | 0 | 0 | 0 | not entailment |
~((x|(p>a))) | (~((((x>g)>a)|(b&~(z))))|(a>b)) | 1 | 0 | 0 | 0 | entailment |
~(((z>p)|(((x>z)>u)|p))) | ((z&(~((a>x))>(~(g)>z)))|(~(b)>z)) | 1 | 0 | 0 | 0 | entailment |
~((x|(p>a))) | ((z&(~((a>x))>(~(g)>z)))|(~(b)>z)) | 0 | 0 | 0 | 0 | not entailment |
~(((z>p)|(((x>z)>u)|p))) | (~((((x>g)>a)|(b&~(z))))|(a>b)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(p))>(z&(i>z)))) | (u>((x&(u&i))>p)) | 1 | 1 | 0 | 0 | entailment |
(j&~(~((i&(l&z))))) | ((j|a)&(l|(a|(p>j)))) | 1 | 1 | 0 | 0 | entailment |
~((~(~(p))>(z&(i>z)))) | ((j|a)&(l|(a|(p>j)))) | 0 | 1 | 0 | 0 | not entailment |
(j&~(~((i&(l&z))))) | (u>((x&(u&i))>p)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((~(j)|(~(j)&x))))) | (((j|x)|(p|(g&(x&p))))|((~(p)|z)&l)) | 1 | 0 | 0 | 0 | entailment |
((g&((((~(b)|a)|x)&u)>i))&(p>(a&p))) | ((((~(j)>(u&j))>x)>((b>j)&(g&x)))|(g|u)) | 1 | 0 | 0 | 0 | entailment |
~(~(~((~(j)|(~(j)&x))))) | ((((~(j)>(u&j))>x)>((b>j)&(g&x)))|(g|u)) | 0 | 0 | 0 | 0 | not entailment |
((g&((((~(b)|a)|x)&u)>i))&(p>(a&p))) | (((j|x)|(p|(g&(x&p))))|((~(p)|z)&l)) | 0 | 1 | 0 | 0 | not entailment |
(((p&l)&b)&~(((g&g)&(u|p)))) | ((u>i)>l) | 1 | 1 | 0 | 0 | entailment |
((((a|(j&g))>u)|j)>~((~(a)>(x>b)))) | (~(j)|x) | 1 | 1 | 1 | 1 | entailment |
(((p&l)&b)&~(((g&g)&(u|p)))) | (~(j)|x) | 0 | 1 | 0 | 0 | not entailment |
((((a|(j&g))>u)|j)>~((~(a)>(x>b)))) | ((u>i)>l) | 0 | 1 | 0 | 0 | not entailment |
~((((x&~(x))|a)|(~(l)|(b>g)))) | ~(~((~(b)>~(~((b|i)))))) | 1 | 1 | 0 | 0 | entailment |
((x&(l>p))&(l&l)) | ((g|p)|u) | 1 | 1 | 0 | 0 | entailment |
~((((x&~(x))|a)|(~(l)|(b>g)))) | ((g|p)|u) | 0 | 1 | 0 | 0 | not entailment |
((x&(l>p))&(l&l)) | ~(~((~(b)>~(~((b|i)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((s>~((((j|u)&(s>g))|(s&u)))))&a) | ((e>s)|(u|((~(~(c))&(s>f))>u))) | 1 | 1 | 0 | 0 | entailment |
(~((g>z))&((((f|u)&g)>f)|a)) | (((z&y)>e)|j) | 1 | 1 | 0 | 0 | entailment |
(~((s>~((((j|u)&(s>g))|(s&u)))))&a) | (((z&y)>e)|j) | 0 | 1 | 0 | 0 | not entailment |
(~((g>z))&((((f|u)&g)>f)|a)) | ((e>s)|(u|((~(~(c))&(s>f))>u))) | 0 | 0 | 0 | 0 | not entailment |
((u>(f>g))>(~(~((~(c)|j)))&y)) | ((u&g)>y) | 1 | 1 | 1 | 0 | entailment |
~(((s>c)|e)) | ((~((y|s))>e)>((e|e)>(y>(s&(e|s))))) | 1 | 0 | 0 | 0 | entailment |
((u>(f>g))>(~(~((~(c)|j)))&y)) | ((~((y|s))>e)>((e|e)>(y>(s&(e|s))))) | 0 | 0 | 0 | 0 | not entailment |
~(((s>c)|e)) | ((u&g)>y) | 0 | 1 | 0 | 0 | not entailment |
(y&(y>a)) | ((a&f)|(j|a)) | 1 | 0 | 0 | 0 | entailment |
~(y) | (((j&(((u|f)&s)|z))|~(u))>~(((u>a)&y))) | 1 | 0 | 0 | 0 | entailment |
(y&(y>a)) | (((j&(((u|f)&s)|z))|~(u))>~(((u>a)&y))) | 0 | 0 | 0 | 0 | not entailment |
~(y) | ((a&f)|(j|a)) | 0 | 0 | 0 | 0 | not entailment |
(((((c>c)>u)|u)&~(s))&((f>u)|s)) | ((u|(e|~(j)))|(s|a)) | 1 | 1 | 0 | 0 | entailment |
(((g&(((j|(u|e))|(f|z))&~(~(c))))&s)|y) | (a|((y|~(j))|g)) | 1 | 1 | 0 | 0 | entailment |
(((((c>c)>u)|u)&~(s))&((f>u)|s)) | (a|((y|~(j))|g)) | 0 | 1 | 0 | 0 | not entailment |
(((g&(((j|(u|e))|(f|z))&~(~(c))))&s)|y) | ((u|(e|~(j)))|(s|a)) | 0 | 1 | 0 | 0 | not entailment |
(~(((((u|a)&u)>(j&y))&a))&(s|g)) | (((y>c)>((s|e)|u))|((g>u)>(c|(s&e)))) | 1 | 0 | 0 | 0 | entailment |
~(y) | (((a&y)>g)&(((g&e)&~(a))>e)) | 1 | 0 | 0 | 0 | entailment |
(~(((((u|a)&u)>(j&y))&a))&(s|g)) | (((a&y)>g)&(((g&e)&~(a))>e)) | 0 | 1 | 0 | 0 | not entailment |
~(y) | (((y>c)>((s|e)|u))|((g>u)>(c|(s&e)))) | 0 | 0 | 0 | 0 | not entailment |
~((c>((s&~(~((f&~(g)))))>y))) | (u>f) | 1 | 1 | 0 | 0 | entailment |
(e&u) | (g|(e|j)) | 1 | 0 | 0 | 0 | entailment |
~((c>((s&~(~((f&~(g)))))>y))) | (g|(e|j)) | 0 | 1 | 0 | 0 | not entailment |
(e&u) | (u>f) | 0 | 1 | 0 | 0 | not entailment |
(g&~((s>~(a)))) | (u>(j|(u>s))) | 1 | 1 | 0 | 0 | entailment |
(z&(c|(f>~(s)))) | (z|(y&a)) | 1 | 1 | 0 | 0 | entailment |
(g&~((s>~(a)))) | (z|(y&a)) | 0 | 1 | 0 | 0 | not entailment |
(z&(c|(f>~(s)))) | (u>(j|(u>s))) | 0 | 1 | 0 | 0 | not entailment |
((u&e)&(z|(g&s))) | ~(~(((s&((f|(y&u))|(g|z)))>e))) | 1 | 0 | 0 | 0 | entailment |
((y&((s&u)>u))&(j|c)) | ((s|g)|(y|((j&(~(e)|(~(s)&a)))&(u|f)))) | 1 | 0 | 0 | 0 | entailment |
((u&e)&(z|(g&s))) | ((s|g)|(y|((j&(~(e)|(~(s)&a)))&(u|f)))) | 0 | 0 | 0 | 0 | not entailment |
((y&((s&u)>u))&(j|c)) | ~(~(((s&((f|(y&u))|(g|z)))>e))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((j&(e&a))))>~((s&s)))) | ((~((s|s))>(y|g))|((c&y)&s)) | 1 | 1 | 0 | 0 | entailment |
((e&c)&e) | ((z|e)&c) | 1 | 1 | 0 | 0 | entailment |
~((~(~((j&(e&a))))>~((s&s)))) | ((z|e)&c) | 0 | 1 | 0 | 0 | not entailment |
((e&c)&e) | ((~((s|s))>(y|g))|((c&y)&s)) | 0 | 0 | 0 | 0 | not entailment |
((f&(e&((f|e)|c)))|s) | (~(f)>(z>s)) | 1 | 1 | 0 | 0 | entailment |
~((((y>s)|e)&g)) | ((~(e)>((j>j)>c))|(g>(f>y))) | 1 | 0 | 0 | 0 | entailment |
((f&(e&((f|e)|c)))|s) | ((~(e)>((j>j)>c))|(g>(f>y))) | 0 | 0 | 0 | 0 | not entailment |
~((((y>s)|e)&g)) | (~(f)>(z>s)) | 0 | 1 | 0 | 0 | not entailment |
(~(y)&~((((f&y)|e)>a))) | ~((((((f>f)|u)|(~(a)|s))&(a&c))&g)) | 1 | 0 | 0 | 0 | entailment |
~((((j|(z|s))&~(f))|(~((e>u))>(y|f)))) | (a|~(((~(~(e))&((y&g)>g))&j))) | 1 | 1 | 0 | 0 | entailment |
(~(y)&~((((f&y)|e)>a))) | (a|~(((~(~(e))&((y&g)>g))&j))) | 0 | 0 | 0 | 0 | not entailment |
~((((j|(z|s))&~(f))|(~((e>u))>(y|f)))) | ~((((((f>f)|u)|(~(a)|s))&(a&c))&g)) | 0 | 1 | 0 | 0 | not entailment |
((((e&s)>(j>e))&u)&c) | (((a&c)|~(~(((c&c)|(e|y)))))&(u>u)) | 1 | 0 | 0 | 0 | entailment |
~((~((g|g))|((y|e)&g))) | (e>~((((~(f)>e)&(~(c)>~(c)))>~(a)))) | 1 | 0 | 0 | 0 | entailment |
((((e&s)>(j>e))&u)&c) | (e>~((((~(f)>e)&(~(c)>~(c)))>~(a)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((g|g))|((y|e)&g))) | (((a&c)|~(~(((c&c)|(e|y)))))&(u>u)) | 0 | 0 | 0 | 0 | not entailment |
(((j>f)>y)&(j&((f|(f|e))|(e&g)))) | (f|(((((g|~(u))&g)>f)>~(~(a)))>j)) | 1 | 0 | 0 | 0 | entailment |
~((u|(c|(f|c)))) | (~(~(c))>(((g|j)>s)&f)) | 1 | 0 | 0 | 0 | entailment |
(((j>f)>y)&(j&((f|(f|e))|(e&g)))) | (~(~(c))>(((g|j)>s)&f)) | 0 | 1 | 0 | 0 | not entailment |
~((u|(c|(f|c)))) | (f|(((((g|~(u))&g)>f)>~(~(a)))>j)) | 0 | 0 | 0 | 0 | not entailment |
((s>g)&((a&s)&(a>e))) | ~(((g>j)&~((u>(y|e))))) | 1 | 0 | 0 | 0 | entailment |
(((f|f)&(c&(y>j)))&(s&(f&u))) | (y|(~(~((u&(~(f)>s))))|((f|y)|~(c)))) | 1 | 0 | 1 | 0 | entailment |
((s>g)&((a&s)&(a>e))) | (y|(~(~((u&(~(f)>s))))|((f|y)|~(c)))) | 0 | 0 | 0 | 0 | not entailment |
(((f|f)&(c&(y>j)))&(s&(f&u))) | ~(((g>j)&~((u>(y|e))))) | 0 | 1 | 0 | 0 | not entailment |
((((c>c)>f)>(y&(a>c)))&~(~((s&y)))) | ((c&(j|~(c)))>(((g&z)|s)|~(y))) | 1 | 1 | 0 | 0 | entailment |
~(((~(y)|z)|(~((y>g))&(g|(j&e))))) | ~(z) | 1 | 1 | 1 | 1 | entailment |
((((c>c)>f)>(y&(a>c)))&~(~((s&y)))) | ~(z) | 0 | 1 | 0 | 0 | not entailment |
~(((~(y)|z)|(~((y>g))&(g|(j&e))))) | ((c&(j|~(c)))>(((g&z)|s)|~(y))) | 0 | 1 | 0 | 0 | not entailment |
(z&f) | (s>((f|b)>(e>f))) | 1 | 0 | 0 | 0 | entailment |
~(~((((s|s)|s)&(b&e)))) | ~(~((e&(z|s)))) | 1 | 1 | 0 | 0 | entailment |
(z&f) | ~(~((e&(z|s)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((((s|s)|s)&(b&e)))) | (s>((f|b)>(e>f))) | 0 | 1 | 0 | 0 | not entailment |
~(((z&z)|(e>(e>~(e))))) | ((b|s)|~(z)) | 1 | 1 | 0 | 0 | entailment |
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