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 |
|---|---|---|---|---|---|---|
(e|(j&(e&y))) | (e|e) | 1 | 1 | 1 | 1 | entailment |
(~((((y>j)>(e>j))>e))&((g|e)|y)) | (e|e) | 0 | 1 | 1 | 1 | not entailment |
(e|(j&(e&y))) | (e>(e&~(~(((g|y)&e))))) | 0 | 0 | 0 | 0 | not entailment |
~(y) | ((y>((~(y)>g)&g))|(g&e)) | 1 | 0 | 0 | 0 | entailment |
((((y>e)&(e&~(j)))>g)>e) | ((y&(e>(y>g)))|e) | 1 | 1 | 1 | 0 | entailment |
~(y) | ((y&(e>(y>g)))|e) | 0 | 0 | 0 | 0 | not entailment |
((((y>e)&(e&~(j)))>g)>e) | ((y>((~(y)>g)&g))|(g&e)) | 0 | 1 | 1 | 0 | not entailment |
((((e|j)|g)&(j>(j&j)))&g) | ~(~(((~(e)>(y&(g&(j&g))))|g))) | 1 | 0 | 0 | 0 | entailment |
(y&((e&j)>(e&j))) | (((y&y)|(e|e))|~(j)) | 1 | 0 | 1 | 1 | entailment |
((((e|j)|g)&(j>(j&j)))&g) | (((y&y)|(e|e))|~(j)) | 0 | 1 | 0 | 0 | not entailment |
(y&((e&j)>(e&j))) | ~(~(((~(e)>(y&(g&(j&g))))|g))) | 0 | 0 | 0 | 0 | not entailment |
((j|j)&g) | ((g|(e|e))|y) | 1 | 0 | 0 | 0 | entailment |
~((e|(y|(j|g)))) | ((((g&e)&(g&(g>j)))&((g>~(g))|j))|(j>e)) | 1 | 0 | 1 | 0 | entailment |
((j|j)&g) | ((((g&e)&(g&(g>j)))&((g>~(g))|j))|(j>e)) | 0 | 0 | 0 | 0 | not entailment |
~((e|(y|(j|g)))) | ((g|(e|e))|y) | 0 | 1 | 1 | 0 | not entailment |
(((j&(y>j))>((g>g)>(e>g)))&g) | ((g|e)|((j|y)&((j|(y&y))|(((e>e)>e)|g)))) | 1 | 0 | 1 | 0 | entailment |
~((~((e|e))>(g|j))) | ~((~(~(e))|(((g&g)>~(g))&((g|y)&e)))) | 1 | 0 | 0 | 0 | entailment |
(((j&(y>j))>((g>g)>(e>g)))&g) | ~((~(~(e))|(((g&g)>~(g))&((g|y)&e)))) | 0 | 0 | 1 | 0 | not entailment |
~((~((e|e))>(g|j))) | ((g|e)|((j|y)&((j|(y&y))|(((e>e)>e)|g)))) | 0 | 0 | 0 | 0 | not entailment |
((j&(j&g))|((e&(j|j))|(e&g))) | (y>((g|e)|g)) | 1 | 1 | 0 | 0 | entailment |
~(~((y&(y>(~(y)|(y&(j&y))))))) | (e>j) | 1 | 1 | 0 | 0 | entailment |
((j&(j&g))|((e&(j|j))|(e&g))) | (e>j) | 0 | 1 | 1 | 0 | not entailment |
~(~((y&(y>(~(y)|(y&(j&y))))))) | (y>((g|e)|g)) | 0 | 1 | 0 | 0 | not entailment |
(((j>y)>~((e>y)))&~(((e&g)&g))) | ~(~(~((y&y)))) | 1 | 1 | 1 | 1 | entailment |
((j>e)&j) | ((~(((y|g)|e))|g)>g) | 1 | 0 | 0 | 0 | entailment |
(((j>y)>~((e>y)))&~(((e&g)&g))) | ((~(((y|g)|e))|g)>g) | 0 | 1 | 1 | 0 | not entailment |
((j>e)&j) | ~(~(~((y&y)))) | 0 | 0 | 0 | 0 | not entailment |
((y|(y&e))|j) | ((~((g|((j|g)|e)))>(j|y))|e) | 1 | 0 | 0 | 0 | entailment |
~(((j|g)|g)) | ((g|((y&j)|j))>(((e>e)&y)>j)) | 1 | 0 | 0 | 0 | entailment |
((y|(y&e))|j) | ((g|((y&j)|j))>(((e>e)&y)>j)) | 0 | 0 | 0 | 0 | not entailment |
~(((j|g)|g)) | ((~((g|((j|g)|e)))>(j|y))|e) | 0 | 0 | 0 | 0 | not entailment |
((y>(j|y))&~((((g&y)>(e>e))&(e>(g&e))))) | ((((((e&e)|(j>g))&(e|(e>e)))|j)>e)|(j|g)) | 1 | 1 | 1 | 0 | entailment |
(y|j) | ((((~(j)>g)>(g&(e|j)))&(e&~(g)))>y) | 1 | 0 | 0 | 0 | entailment |
((y>(j|y))&~((((g&y)>(e>e))&(e>(g&e))))) | ((((~(j)>g)>(g&(e|j)))&(e&~(g)))>y) | 0 | 1 | 1 | 0 | not entailment |
(y|j) | ((((((e&e)|(j>g))&(e|(e>e)))|j)>e)|(j|g)) | 0 | 0 | 0 | 0 | not entailment |
~(~(g)) | (g&((~(~((~(~(g))>e)))|~(e))|y)) | 1 | 0 | 0 | 0 | entailment |
~((g&((g|y)|g))) | (g>(j&(y|j))) | 1 | 1 | 0 | 0 | entailment |
~(~(g)) | (g>(j&(y|j))) | 0 | 0 | 0 | 0 | not entailment |
~((g&((g|y)|g))) | (g&((~(~((~(~(g))>e)))|~(e))|y)) | 0 | 0 | 0 | 0 | not entailment |
(l|s) | (((l&(a&a))|l)|(s&(j>j))) | 1 | 0 | 0 | 0 | entailment |
((a&~(s))|a) | (s|(a|s)) | 1 | 1 | 1 | 0 | entailment |
(l|s) | (s|(a|s)) | 0 | 0 | 0 | 0 | not entailment |
((a&~(s))|a) | (((l&(a&a))|l)|(s&(j>j))) | 0 | 0 | 0 | 0 | not entailment |
((((f|f)>j)&(j>((l|(l|l))&l)))&((l|f)|l)) | (~(~(((a&(a|a))|~((s&j)))))>l) | 1 | 1 | 0 | 0 | entailment |
~((s|u)) | (u>(s|~(f))) | 1 | 0 | 0 | 0 | entailment |
((((f|f)>j)&(j>((l|(l|l))&l)))&((l|f)|l)) | (u>(s|~(f))) | 0 | 1 | 0 | 0 | not entailment |
~((s|u)) | (~(~(((a&(a|a))|~((s&j)))))>l) | 0 | 0 | 0 | 0 | not entailment |
(j&(a>(((j|a)|a)&~((s|j))))) | (j|(j&j)) | 1 | 1 | 1 | 1 | entailment |
~(((l&a)>(f|s))) | ((u|(f>s))|a) | 1 | 1 | 0 | 0 | entailment |
(j&(a>(((j|a)|a)&~((s|j))))) | ((u|(f>s))|a) | 0 | 1 | 0 | 0 | not entailment |
~(((l&a)>(f|s))) | (j|(j&j)) | 0 | 1 | 0 | 0 | not entailment |
(a&(u&~(j))) | (s>(a>(~(~(~(j)))>u))) | 1 | 0 | 0 | 0 | entailment |
~(~(l)) | ((u|((f&(u>u))&((l|j)|u)))>(l|((a|j)>j))) | 1 | 0 | 0 | 0 | entailment |
(a&(u&~(j))) | ((u|((f&(u>u))&((l|j)|u)))>(l|((a|j)>j))) | 0 | 0 | 0 | 0 | not entailment |
~(~(l)) | (s>(a>(~(~(~(j)))>u))) | 0 | 0 | 0 | 0 | not entailment |
((a|f)|(~(~((l|a)))&((l&(a|f))&(j>a)))) | (f|a) | 1 | 1 | 1 | 1 | entailment |
~((j>~(j))) | ((u|u)|j) | 1 | 1 | 0 | 0 | entailment |
((a|f)|(~(~((l|a)))&((l&(a|f))&(j>a)))) | ((u|u)|j) | 0 | 1 | 0 | 0 | not entailment |
~((j>~(j))) | (f|a) | 0 | 1 | 0 | 0 | not entailment |
(u&(a&((j|(a>l))|(a|u)))) | ((f|u)|((s>j)&s)) | 1 | 1 | 0 | 0 | entailment |
~(((s&~((l&f)))>(j|f))) | ((j|~((((a>a)|l)>u)))|(~(~((l|l)))>s)) | 1 | 0 | 0 | 0 | entailment |
(u&(a&((j|(a>l))|(a|u)))) | ((j|~((((a>a)|l)>u)))|(~(~((l|l)))>s)) | 0 | 0 | 0 | 0 | not entailment |
~(((s&~((l&f)))>(j|f))) | ((f|u)|((s>j)&s)) | 0 | 1 | 0 | 0 | not entailment |
(((j|l)>(a|j))&(a&l)) | (l|a) | 1 | 1 | 1 | 1 | entailment |
~((((s>j)>a)|s)) | (s>((s&f)>j)) | 1 | 1 | 0 | 0 | entailment |
(((j|l)>(a|j))&(a&l)) | (s>((s&f)>j)) | 0 | 1 | 0 | 0 | not entailment |
~((((s>j)>a)|s)) | (l|a) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((u|u)>f)))&((s&u)&a)) | (j>((f&(~(j)|((l>s)>j)))&(j|(a&s)))) | 1 | 0 | 0 | 0 | entailment |
~((((a|s)>f)>(a|u))) | ((u&((f|j)&(s|((j>f)>(u>s)))))>(l&l)) | 1 | 0 | 0 | 0 | entailment |
(~(~(((u|u)>f)))&((s&u)&a)) | ((u&((f|j)&(s|((j>f)>(u>s)))))>(l&l)) | 0 | 0 | 0 | 0 | not entailment |
~((((a|s)>f)>(a|u))) | (j>((f&(~(j)|((l>s)>j)))&(j|(a&s)))) | 0 | 0 | 0 | 0 | not entailment |
((((s|a)|u)&~(~(f)))&~((j>a))) | ((l|a)|(j|(u>s))) | 1 | 1 | 0 | 0 | entailment |
~(~(~((~(l)>~(f))))) | (l>s) | 1 | 1 | 0 | 0 | entailment |
((((s|a)|u)&~(~(f)))&~((j>a))) | (l>s) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((~(l)>~(f))))) | ((l|a)|(j|(u>s))) | 0 | 1 | 0 | 0 | not entailment |
(((j|j)>((u|f)>((a&u)&((u&s)&s))))&f) | (~(f)>s) | 1 | 1 | 1 | 1 | entailment |
((u&l)&(s>(f&(s&a)))) | (((u&j)&(s>s))>(~((a|((j>u)|f)))|l)) | 1 | 0 | 0 | 0 | entailment |
(((j|j)>((u|f)>((a&u)&((u&s)&s))))&f) | (((u&j)&(s>s))>(~((a|((j>u)|f)))|l)) | 0 | 1 | 0 | 0 | not entailment |
((u&l)&(s>(f&(s&a)))) | (~(f)>s) | 0 | 1 | 1 | 1 | not entailment |
((u&~(~(((j|l)&f))))&(u>~(s))) | (~(((f>(j&u))>f))>u) | 1 | 1 | 1 | 0 | entailment |
~((~((~(~(s))|s))>(j|l))) | ~((~((s|j))>(f&((f>j)&((a|j)|l))))) | 1 | 0 | 0 | 0 | entailment |
((u&~(~(((j|l)&f))))&(u>~(s))) | ~((~((s|j))>(f&((f>j)&((a|j)|l))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(~(s))|s))>(j|l))) | (~(((f>(j&u))>f))>u) | 0 | 1 | 0 | 0 | not entailment |
((u>(s&a))&((s&u)>j)) | ((u>(a|f))&((~(f)|f)|(~(a)>(l&u)))) | 1 | 0 | 0 | 0 | entailment |
((l>j)&(u&l)) | ((l&l)|(s&(j&a))) | 1 | 0 | 0 | 0 | entailment |
((u>(s&a))&((s&u)>j)) | ((l&l)|(s&(j&a))) | 0 | 1 | 0 | 0 | not entailment |
((l>j)&(u&l)) | ((u>(a|f))&((~(f)|f)|(~(a)>(l&u)))) | 0 | 0 | 0 | 0 | not entailment |
((((j>((a&(a|a))&f))&(a>(l&~(a))))|l)&j) | (f|(j&j)) | 1 | 1 | 1 | 1 | entailment |
((u&~(j))&(a&s)) | ((s&a)>(((f>l)&j)>~((l|j)))) | 1 | 0 | 0 | 0 | entailment |
((((j>((a&(a|a))&f))&(a>(l&~(a))))|l)&j) | ((s&a)>(((f>l)&j)>~((l|j)))) | 0 | 1 | 0 | 0 | not entailment |
((u&~(j))&(a&s)) | (f|(j&j)) | 0 | 1 | 0 | 0 | not entailment |
~(((a&j)>~(((s>l)>s)))) | (~((a>~((a>(l&f)))))|s) | 1 | 1 | 0 | 0 | entailment |
~(((((s|(u|l))|j)|(j|l))|(s&u))) | ((~(~((u>~(((a>f)&f)))))&u)>f) | 1 | 1 | 0 | 0 | entailment |
~(((a&j)>~(((s>l)>s)))) | ((~(~((u>~(((a>f)&f)))))&u)>f) | 0 | 0 | 0 | 0 | not entailment |
~(((((s|(u|l))|j)|(j|l))|(s&u))) | (~((a>~((a>(l&f)))))|s) | 0 | 1 | 0 | 0 | not entailment |
~(((a&s)>(f>~(~((s>l)))))) | ~((((f|u)&(s>l))&(l>a))) | 1 | 1 | 0 | 0 | entailment |
~(((~((s|(u>f)))&a)>(j>~(((j|l)|s))))) | ((~((~(u)&(f|~(j))))&s)>(l&(l&u))) | 1 | 1 | 1 | 0 | entailment |
~(((a&s)>(f>~(~((s>l)))))) | ((~((~(u)&(f|~(j))))&s)>(l&(l&u))) | 0 | 0 | 0 | 0 | not entailment |
~(((~((s|(u>f)))&a)>(j>~(((j|l)|s))))) | ~((((f|u)&(s>l))&(l>a))) | 0 | 1 | 1 | 0 | not entailment |
(u&(f&a)) | (j>u) | 1 | 1 | 0 | 0 | entailment |
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