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)>(f>(((j|f)|f)>(h|j))))) | (~(f)>(((f&h)|j)>(h>f))) | 1 | 1 | 1 | 0 | entailment |
(~(f)|(~(((h>(f&f))|(u|j)))&(j|u))) | (~(f)>(((f&h)|j)>(h>f))) | 0 | 1 | 1 | 0 | not entailment |
~((~(u)>(f>(((j|f)|f)>(h|j))))) | ((j|(j|(f|h)))>(h|j)) | 0 | 1 | 1 | 0 | not entailment |
((h|h)&((((h>f)>f)|f)>(h&f))) | ((u&(u>f))>~(~((h&(~(j)>f))))) | 1 | 0 | 0 | 0 | entailment |
(~(j)>(f&j)) | ((j&(f>u))|j) | 1 | 1 | 0 | 0 | entailment |
((h|h)&((((h>f)>f)|f)>(h&f))) | ((j&(f>u))|j) | 0 | 1 | 0 | 0 | not entailment |
(~(j)>(f&j)) | ((u&(u>f))>~(~((h&(~(j)>f))))) | 0 | 0 | 0 | 0 | not entailment |
((h&f)&f) | (~((f|(h>u)))>f) | 1 | 0 | 0 | 0 | entailment |
((u>h)&(h>~((u&j)))) | ((f>((j&u)&f))>~((j&(u|(u&h))))) | 1 | 0 | 0 | 0 | entailment |
((h&f)&f) | ((f>((j&u)&f))>~((j&(u|(u&h))))) | 0 | 0 | 0 | 0 | not entailment |
((u>h)&(h>~((u&j)))) | (~((f|(h>u)))>f) | 0 | 1 | 0 | 0 | not entailment |
~((f&f)) | ((h&(f&~((j|j))))>(h&~((u&f)))) | 1 | 0 | 0 | 0 | entailment |
(((f&(u>f))|(h|~(((u&(u&j))>f))))>u) | (~(~(u))|(((h|f)&j)>~(~((u&j))))) | 1 | 1 | 1 | 0 | entailment |
~((f&f)) | (~(~(u))|(((h|f)&j)>~(~((u&j))))) | 0 | 0 | 0 | 0 | not entailment |
(((f&(u>f))|(h|~(((u&(u&j))>f))))>u) | ((h&(f&~((j|j))))>(h&~((u&f)))) | 0 | 1 | 1 | 0 | not entailment |
~(u) | (((h>f)>(f|~((u|f))))|(j&j)) | 1 | 0 | 0 | 0 | entailment |
~((f|(f&(f&u)))) | ~((f&(((~(f)>h)>f)&f))) | 1 | 0 | 0 | 0 | entailment |
~(u) | ~((f&(((~(f)>h)>f)&f))) | 0 | 0 | 0 | 0 | not entailment |
~((f|(f&(f&u)))) | (((h>f)>(f|~((u|f))))|(j&j)) | 0 | 0 | 0 | 0 | not entailment |
(((u&u)&~(f))&(h&h)) | ((j>~(j))>((~(((u&~(j))|f))|h)>u)) | 1 | 0 | 0 | 0 | entailment |
((f&h)&h) | (f&(f&(h&h))) | 1 | 0 | 1 | 1 | entailment |
(((u&u)&~(f))&(h&h)) | (f&(f&(h&h))) | 0 | 1 | 1 | 0 | not entailment |
((f&h)&h) | ((j>~(j))>((~(((u&~(j))|f))|h)>u)) | 0 | 0 | 0 | 0 | not entailment |
(((h&(u|f))&((f|h)&(j>(f&(f|j)))))&f) | (~(u)>(f&~((~(f)&u)))) | 1 | 1 | 1 | 0 | entailment |
~(f) | ~((f&h)) | 1 | 0 | 0 | 0 | entailment |
(((h&(u|f))&((f|h)&(j>(f&(f|j)))))&f) | ~((f&h)) | 0 | 1 | 1 | 0 | not entailment |
~(f) | (~(u)>(f&~((~(f)&u)))) | 0 | 0 | 0 | 0 | not entailment |
(f|f) | (~((j|(~(~((h|f)))&(u&j))))>f) | 1 | 0 | 0 | 0 | entailment |
~((((j|(h&u))|~(u))|h)) | ~(((~(~(j))&(h>~(~(u))))&h)) | 1 | 0 | 1 | 0 | entailment |
(f|f) | ~(((~(~(j))&(h>~(~(u))))&h)) | 0 | 0 | 0 | 0 | not entailment |
~((((j|(h&u))|~(u))|h)) | (~((j|(~(~((h|f)))&(u&j))))>f) | 0 | 0 | 0 | 0 | not entailment |
(~((f|~(j)))|(~((j|(f|u)))|(u&u))) | (((f&(u|j))|(j&f))>u) | 1 | 1 | 1 | 1 | entailment |
~(((~((f|j))>~(h))>(h&h))) | ~(h) | 1 | 1 | 1 | 1 | entailment |
(~((f|~(j)))|(~((j|(f|u)))|(u&u))) | ~(h) | 0 | 1 | 0 | 0 | not entailment |
~(((~((f|j))>~(h))>(h&h))) | (((f&(u|j))|(j&f))>u) | 0 | 1 | 0 | 0 | not entailment |
~((~((h&j))>(((u&u)|(h|h))>f))) | ((h|h)|~((j&f))) | 1 | 1 | 1 | 1 | entailment |
~((((f|h)&~(((h|u)&(h|h))))>~((j|f)))) | (h>(h&((f>(h|j))>((f>(j|f))>(j&~(h)))))) | 1 | 1 | 1 | 0 | entailment |
~((~((h&j))>(((u&u)|(h|h))>f))) | (h>(h&((f>(h|j))>((f>(j|f))>(j&~(h)))))) | 0 | 0 | 1 | 0 | not entailment |
~((((f|h)&~(((h|u)&(h|h))))>~((j|f)))) | ((h|h)|~((j&f))) | 0 | 1 | 1 | 0 | not entailment |
(d|(~(((d&d)>y))&y)) | ~((d>~((((y|(y&y))>d)|d)))) | 1 | 0 | 1 | 1 | entailment |
~((y>~((y|~(((d|d)&(d|(y>y)))))))) | (((d>d)>~((y&~(y))))&((d>~(d))|y)) | 1 | 1 | 1 | 0 | entailment |
(d|(~(((d&d)>y))&y)) | (((d>d)>~((y&~(y))))&((d>~(d))|y)) | 0 | 0 | 1 | 0 | not entailment |
~((y>~((y|~(((d|d)&(d|(y>y)))))))) | ~((d>~((((y|(y&y))>d)|d)))) | 0 | 1 | 1 | 0 | not entailment |
(((d>y)|y)&(y&d)) | ((y>y)&y) | 1 | 1 | 1 | 0 | entailment |
~(d) | (~(d)&~(~((d>~(y))))) | 1 | 0 | 0 | 0 | entailment |
(((d>y)|y)&(y&d)) | (~(d)&~(~((d>~(y))))) | 0 | 0 | 1 | 0 | not entailment |
~(d) | ((y>y)&y) | 0 | 0 | 0 | 0 | not entailment |
(((y&~(d))|(d&y))&((d&d)&y)) | (((d&((d|(d&y))|((d&d)>d)))|d)|y) | 1 | 0 | 1 | 1 | entailment |
~((y|d)) | ((((d>y)&(~(y)>(d|y)))>(y&d))&~(y)) | 1 | 0 | 1 | 0 | entailment |
(((y&~(d))|(d&y))&((d&d)&y)) | ((((d>y)&(~(y)>(d|y)))>(y&d))&~(y)) | 0 | 0 | 1 | 0 | not entailment |
~((y|d)) | (((d&((d|(d&y))|((d&d)>d)))|d)|y) | 0 | 0 | 1 | 0 | not entailment |
(((d>y)>((y>d)>(~(y)|~((d&y)))))>y) | ((d|y)&y) | 1 | 1 | 1 | 1 | entailment |
~(((y&((((y>d)>y)|d)|((y|y)&d)))|d)) | ~(d) | 1 | 1 | 1 | 1 | entailment |
(((d>y)>((y>d)>(~(y)|~((d&y)))))>y) | ~(d) | 0 | 1 | 1 | 1 | not entailment |
~(((y&((((y>d)>y)|d)|((y|y)&d)))|d)) | ((d|y)&y) | 0 | 1 | 1 | 0 | not entailment |
(((y>y)|y)&(d&(y|y))) | ((d|y)>d) | 1 | 1 | 1 | 0 | entailment |
~(~((y&~(d)))) | ((y>y)>~(((d>d)&(d&d)))) | 1 | 0 | 1 | 0 | entailment |
(((y>y)|y)&(d&(y|y))) | ((y>y)>~(((d>d)&(d&d)))) | 0 | 0 | 1 | 0 | not entailment |
~(~((y&~(d)))) | ((d|y)>d) | 0 | 1 | 1 | 0 | not entailment |
((y&((y>d)>y))&(((~(d)&y)&y)|((y&d)&d))) | ((d&y)|~(((y|y)>(d|d)))) | 1 | 1 | 1 | 1 | entailment |
((d>(~((y|(y|y)))>(y>~((y|(y>y))))))>d) | ((d|d)|~((~(~(((y|d)|~(d))))|d))) | 1 | 1 | 1 | 0 | entailment |
((y&((y>d)>y))&(((~(d)&y)&y)|((y&d)&d))) | ((d|d)|~((~(~(((y|d)|~(d))))|d))) | 0 | 1 | 1 | 0 | not entailment |
((d>(~((y|(y|y)))>(y>~((y|(y>y))))))>d) | ((d&y)|~(((y|y)>(d|d)))) | 0 | 1 | 1 | 0 | not entailment |
((y>y)&y) | (y|~((d>((y|y)&d)))) | 1 | 0 | 0 | 0 | entailment |
(((d|d)&~(d))|~(d)) | ~((((y>(d|d))|y)&((d&d)|d))) | 1 | 0 | 0 | 0 | entailment |
((y>y)&y) | ~((((y>(d|d))|y)&((d&d)|d))) | 0 | 0 | 0 | 0 | not entailment |
(((d|d)&~(d))|~(d)) | (y|~((d>((y|y)&d)))) | 0 | 1 | 0 | 0 | not entailment |
~((~((y|(y&y)))|(d&(d&y)))) | (y&y) | 1 | 1 | 1 | 1 | entailment |
~((~((~((d&d))&(d&y)))>y)) | (y>((y>d)&y)) | 1 | 1 | 1 | 0 | entailment |
~((~((y|(y&y)))|(d&(d&y)))) | (y>((y>d)&y)) | 0 | 1 | 1 | 0 | not entailment |
~((~((~((d&d))&(d&y)))>y)) | (y&y) | 0 | 1 | 1 | 0 | not entailment |
((d&(y&d))|(~((d&y))>(d&y))) | (d>((d|d)&y)) | 1 | 1 | 1 | 0 | entailment |
~(~(~(y))) | ~(((y&(d>d))&((y|y)>(y>(d&d))))) | 1 | 0 | 0 | 0 | entailment |
((d&(y&d))|(~((d&y))>(d&y))) | ~(((y&(d>d))&((y|y)>(y>(d&d))))) | 0 | 0 | 1 | 0 | not entailment |
~(~(~(y))) | (d>((d|d)&y)) | 0 | 1 | 0 | 0 | not entailment |
~(((d>y)>y)) | (d>~(((y>y)|y))) | 1 | 0 | 1 | 1 | entailment |
(((d|(d&y))|y)|y) | (y|d) | 1 | 1 | 1 | 1 | entailment |
~(((d>y)>y)) | (y|d) | 0 | 1 | 1 | 0 | not entailment |
(((d|(d&y))|y)|y) | (d>~(((y>y)|y))) | 0 | 1 | 1 | 0 | not entailment |
~((u&(~((~(u)>(d&g)))>v))) | (~(((v&l)&((w>d)&(~(u)>u))))|~(l)) | 1 | 0 | 0 | 0 | entailment |
((v|y)&(s&s)) | ((g|s)|y) | 1 | 1 | 0 | 0 | entailment |
~((u&(~((~(u)>(d&g)))>v))) | ((g|s)|y) | 0 | 1 | 0 | 0 | not entailment |
((v|y)&(s&s)) | (~(((v&l)&((w>d)&(~(u)>u))))|~(l)) | 0 | 0 | 0 | 0 | not entailment |
(w&(y>v)) | (((d|~((y>(u&l))))|(s|w))|(~(v)&s)) | 1 | 0 | 0 | 0 | entailment |
(l&(((u&(d&u))>l)>((g>(s>l))|(g>v)))) | ~(~((((~(~(l))|s)|v)|(~(u)>l)))) | 1 | 1 | 1 | 0 | entailment |
(w&(y>v)) | ~(~((((~(~(l))|s)|v)|(~(u)>l)))) | 0 | 0 | 0 | 0 | not entailment |
(l&(((u&(d&u))>l)>((g>(s>l))|(g>v)))) | (((d|~((y>(u&l))))|(s|w))|(~(v)&s)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(((w&w)>(y&y)))&s)>v)) | ((((v>u)>(v&l))&((d&~(s))>g))>(~(l)&d)) | 1 | 0 | 0 | 0 | entailment |
(y&(((l|w)&v)&(y&~((u&g))))) | (((y>(d&g))>~(l))>(v&((s&l)|(~(g)>y)))) | 1 | 0 | 0 | 0 | entailment |
~(((~(((w&w)>(y&y)))&s)>v)) | (((y>(d&g))>~(l))>(v&((s&l)|(~(g)>y)))) | 0 | 0 | 0 | 0 | not entailment |
(y&(((l|w)&v)&(y&~((u&g))))) | ((((v>u)>(v&l))&((d&~(s))>g))>(~(l)&d)) | 0 | 0 | 0 | 0 | not entailment |
((~(l)|(u&d))&(y&y)) | (v>((s|(~((w>l))|((v|y)|d)))>(l>y))) | 1 | 0 | 0 | 0 | entailment |
(d&u) | (d|((d>~(~(((d&v)&s))))>(g&d))) | 1 | 0 | 0 | 0 | entailment |
((~(l)|(u&d))&(y&y)) | (d|((d>~(~(((d&v)&s))))>(g&d))) | 0 | 0 | 0 | 0 | not entailment |
(d&u) | (v>((s|(~((w>l))|((v|y)|d)))>(l>y))) | 0 | 0 | 0 | 0 | not entailment |
((~(y)>(u&s))&(((d&d)|y)>u)) | (y|u) | 1 | 1 | 1 | 1 | entailment |
~((~(((y>l)&~(y)))|((s|s)>(s>(v>w))))) | ((w&((d|l)|(g|(u>(l>((g>l)>s))))))>v) | 1 | 1 | 0 | 0 | entailment |
((~(y)>(u&s))&(((d&d)|y)>u)) | ((w&((d|l)|(g|(u>(l>((g>l)>s))))))>v) | 0 | 0 | 0 | 0 | not entailment |
~((~(((y>l)&~(y)))|((s|s)>(s>(v>w))))) | (y|u) | 0 | 1 | 0 | 0 | not entailment |
(s&((g&y)&w)) | ((((s|y)&(~(l)>d))|g)>(g>s)) | 1 | 0 | 0 | 0 | entailment |
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