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 |
|---|---|---|---|---|---|---|
(~((o|((r&j)|y)))&~(e)) | ~(e) | 1 | 1 | 1 | 1 | entailment |
~(~(((~(q)&~(o))&(v&e)))) | ~(e) | 0 | 1 | 1 | 0 | not entailment |
(~((o|((r&j)|y)))&~(e)) | (v|~((q>v))) | 0 | 1 | 0 | 0 | not entailment |
~((~((v|r))|(y>o))) | (v|((q&o)>j)) | 1 | 1 | 0 | 0 | entailment |
~(v) | ~(v) | 1 | 1 | 1 | 1 | entailment |
~((~((v|r))|(y>o))) | ~(v) | 0 | 1 | 1 | 0 | not entailment |
~(v) | (v|((q&o)>j)) | 0 | 0 | 0 | 0 | not entailment |
((y&j)|((~(j)|o)>(((j|r)>j)&(~(v)&j)))) | (e>(e>(y>j))) | 1 | 1 | 0 | 0 | entailment |
(y&(o&y)) | (q|o) | 1 | 1 | 0 | 0 | entailment |
((y&j)|((~(j)|o)>(((j|r)>j)&(~(v)&j)))) | (q|o) | 0 | 1 | 0 | 0 | not entailment |
(y&(o&y)) | (e>(e>(y>j))) | 0 | 0 | 0 | 0 | not entailment |
(r&j) | ~(~(((j&((j&(e&j))&(e>e)))>(r&(e|r))))) | 1 | 0 | 0 | 0 | entailment |
~(o) | ~((~(q)&(((y&o)&j)&y))) | 1 | 0 | 0 | 0 | entailment |
(r&j) | ~((~(q)&(((y&o)&j)&y))) | 0 | 0 | 0 | 0 | not entailment |
~(o) | ~(~(((j&((j&(e&j))&(e>e)))>(r&(e|r))))) | 0 | 0 | 0 | 0 | not entailment |
(o&q) | ((v>o)&(o|~(~(~(~(~(((j&o)>v)))))))) | 1 | 0 | 0 | 0 | entailment |
(~((e&j))&y) | ((o>y)|y) | 1 | 1 | 0 | 0 | entailment |
(o&q) | ((o>y)|y) | 0 | 0 | 0 | 0 | not entailment |
(~((e&j))&y) | ((v>o)&(o|~(~(~(~(~(((j&o)>v)))))))) | 0 | 0 | 0 | 0 | not entailment |
((r&o)&v) | (q>~(~(v))) | 1 | 0 | 0 | 0 | entailment |
~(((y>o)|((e&((r|v)>q))&((e>q)>(r|y))))) | (~(((j&j)|e))>y) | 1 | 1 | 0 | 0 | entailment |
((r&o)&v) | (~(((j&j)|e))>y) | 0 | 0 | 0 | 0 | not entailment |
~(((y>o)|((e&((r|v)>q))&((e>q)>(r|y))))) | (q>~(~(v))) | 0 | 1 | 1 | 1 | not entailment |
~(((((j|(o&y))>v)|v)&((r&(q&o))|(q|r)))) | (((q|e)&v)>(~(q)|(v&(j|o)))) | 1 | 1 | 0 | 0 | entailment |
(v&q) | (((e>(o>~(~(v))))|(~(v)|(r>(o&j))))&q) | 1 | 0 | 0 | 0 | entailment |
~(((((j|(o&y))>v)|v)&((r&(q&o))|(q|r)))) | (((e>(o>~(~(v))))|(~(v)|(r>(o&j))))&q) | 0 | 1 | 0 | 0 | not entailment |
(v&q) | (((q|e)&v)>(~(q)|(v&(j|o)))) | 0 | 0 | 0 | 0 | not entailment |
((x>(x|x))&(~(~((d>d)))>d)) | (d|(d&(x&~(d)))) | 1 | 1 | 1 | 1 | entailment |
(((x&(d|x))>~((d|(x&d))))>x) | ((x|~(d))|~(~(x))) | 1 | 1 | 1 | 0 | entailment |
((x>(x|x))&(~(~((d>d)))>d)) | ((x|~(d))|~(~(x))) | 0 | 1 | 1 | 1 | not entailment |
(((x&(d|x))>~((d|(x&d))))>x) | (d|(d&(x&~(d)))) | 0 | 1 | 1 | 0 | not entailment |
(x|~((~((d|x))&(~((x>x))>(d>d))))) | ((x>(x&d))>((d&(x&x))|(x|d))) | 1 | 1 | 1 | 1 | entailment |
~(x) | ~(~(~((((x|d)>(x>d))&(d&x))))) | 1 | 0 | 0 | 0 | entailment |
(x|~((~((d|x))&(~((x>x))>(d>d))))) | ~(~(~((((x|d)>(x>d))&(d&x))))) | 0 | 1 | 1 | 1 | not entailment |
~(x) | ((x>(x&d))>((d&(x&x))|(x|d))) | 0 | 0 | 0 | 0 | not entailment |
((~(x)>d)&(d&(x&d))) | ~(~(((((d|d)&x)|d)|~(~(d))))) | 1 | 0 | 1 | 1 | entailment |
~((x&(d>(x|d)))) | (~(x)|~(((d>d)|x))) | 1 | 0 | 1 | 1 | entailment |
((~(x)>d)&(d&(x&d))) | (~(x)|~(((d>d)|x))) | 0 | 1 | 1 | 0 | not entailment |
~((x&(d>(x|d)))) | ~(~(((((d|d)&x)|d)|~(~(d))))) | 0 | 0 | 1 | 0 | not entailment |
(d>(d&~((x>(d&x))))) | ~((~((~((~(x)>(d>x)))>x))|(d&(x>x)))) | 1 | 0 | 1 | 1 | entailment |
(x&d) | (~(~((d>d)))&(d|(x|x))) | 1 | 0 | 1 | 0 | entailment |
(d>(d&~((x>(d&x))))) | (~(~((d>d)))&(d|(x|x))) | 0 | 0 | 1 | 1 | not entailment |
(x&d) | ~((~((~((~(x)>(d>x)))>x))|(d&(x>x)))) | 0 | 0 | 1 | 0 | not entailment |
(~((d&d))|((x>((x&~(d))>d))&~(d))) | (~(d)&((d&d)>x)) | 1 | 1 | 1 | 0 | entailment |
(d&x) | (((~(x)|d)&(x|d))|x) | 1 | 0 | 1 | 0 | entailment |
(~((d&d))|((x>((x&~(d))>d))&~(d))) | (((~(x)|d)&(x|d))|x) | 0 | 1 | 1 | 0 | not entailment |
(d&x) | (~(d)&((d&d)>x)) | 0 | 0 | 1 | 0 | not entailment |
~((x|((x|d)|((x|d)|(d|(d&x)))))) | ((~(((x&d)>d))|d)>((d&x)&~(~((x&d))))) | 1 | 0 | 1 | 0 | entailment |
(~((x|((x|d)&d)))>(x|(x|x))) | (~(~((((d>d)&x)>(~(x)>(x&x)))))>(d|x)) | 1 | 0 | 1 | 0 | entailment |
~((x|((x|d)|((x|d)|(d|(d&x)))))) | (~(~((((d>d)&x)>(~(x)>(x&x)))))>(d|x)) | 0 | 0 | 1 | 0 | not entailment |
(~((x|((x|d)&d)))>(x|(x|x))) | ((~(((x&d)>d))|d)>((d&x)&~(~((x&d))))) | 0 | 0 | 1 | 0 | not entailment |
((d>x)&((x|x)|d)) | (((x>d)&d)>x) | 1 | 1 | 1 | 1 | entailment |
(~(x)|~(x)) | ~(((x&d)|((d>((d|d)>x))&d))) | 1 | 0 | 0 | 0 | entailment |
((d>x)&((x|x)|d)) | ~(((x&d)|((d>((d|d)>x))&d))) | 0 | 0 | 1 | 0 | not entailment |
(~(x)|~(x)) | (((x>d)&d)>x) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((~(((x>x)|(x&x)))&d)|(d|d))))) | ~((((x|d)|x)&d)) | 1 | 1 | 1 | 1 | entailment |
((~(~(d))&(~(~(x))|~(~(d))))&d) | (((((d>x)&~(d))>x)|~((x|x)))>(d&d)) | 1 | 1 | 1 | 0 | entailment |
~(~(~(((~(((x>x)|(x&x)))&d)|(d|d))))) | (((((d>x)&~(d))>x)|~((x|x)))>(d&d)) | 0 | 1 | 1 | 0 | not entailment |
((~(~(d))&(~(~(x))|~(~(d))))&d) | ~((((x|d)|x)&d)) | 0 | 1 | 1 | 0 | not entailment |
(d&(x|x)) | ~((~(x)&(d|x))) | 1 | 0 | 1 | 0 | entailment |
(~((x|x))&~((((d|(x|x))>d)&x))) | (d>(((~(x)|((d|d)>d))>~(x))&(d&d))) | 1 | 0 | 1 | 1 | entailment |
(d&(x|x)) | (d>(((~(x)|((d|d)>d))>~(x))&(d&d))) | 0 | 0 | 1 | 0 | not entailment |
(~((x|x))&~((((d|(x|x))>d)&x))) | ~((~(x)&(d|x))) | 0 | 1 | 1 | 1 | not entailment |
~((((x|d)|d)&(x|d))) | ~((~(~(d))&d)) | 1 | 1 | 1 | 1 | entailment |
(~(~(x))&d) | (~((x&(d>x)))>x) | 1 | 0 | 1 | 0 | entailment |
~((((x|d)|d)&(x|d))) | (~((x&(d>x)))>x) | 0 | 1 | 1 | 0 | not entailment |
(~(~(x))&d) | ~((~(~(d))&d)) | 0 | 0 | 1 | 0 | not entailment |
(x|x) | (d>(~(d)|~(~((x&x))))) | 1 | 0 | 0 | 0 | entailment |
(d&((d|~(d))|(~((d>d))&x))) | ((x&x)>d) | 1 | 1 | 1 | 0 | entailment |
(x|x) | ((x&x)>d) | 0 | 0 | 0 | 0 | not entailment |
(d&((d|~(d))|(~((d>d))&x))) | (d>(~(d)|~(~((x&x))))) | 0 | 1 | 1 | 1 | not entailment |
~(x) | ~(x) | 1 | 1 | 1 | 1 | entailment |
((((d|x)&(d>x))>(d&((d>x)>~(x))))>x) | (x&((d&~(x))>((d&d)|d))) | 1 | 1 | 1 | 1 | entailment |
~(x) | (x&((d&~(x))>((d&d)|d))) | 0 | 0 | 0 | 0 | not entailment |
((((d|x)&(d>x))>(d&((d>x)>~(x))))>x) | ~(x) | 0 | 1 | 1 | 0 | not entailment |
(((j&f)&h)&j) | ((~(f)&f)|h) | 1 | 1 | 1 | 0 | entailment |
~(j) | ~((j&j)) | 1 | 0 | 1 | 1 | entailment |
(((j&f)&h)&j) | ~((j&j)) | 0 | 1 | 1 | 0 | not entailment |
~(j) | ((~(f)&f)|h) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(((j|j)&((f>f)&(h|h))))&(f|h)))) | ((h&(j>j))>~((h>j))) | 1 | 1 | 1 | 0 | entailment |
~((((f>j)|j)>((h|h)>(j&~(h))))) | (h|j) | 1 | 1 | 1 | 1 | entailment |
~(~((~(((j|j)&((f>f)&(h|h))))&(f|h)))) | (h|j) | 0 | 1 | 1 | 0 | not entailment |
~((((f>j)|j)>((h|h)>(j&~(h))))) | ((h&(j>j))>~((h>j))) | 0 | 1 | 1 | 0 | not entailment |
(j&f) | ((~(~((h>j)))>(~(u)>f))|~((j>(u>u)))) | 1 | 0 | 0 | 0 | entailment |
~((((f|h)&(h|(u|f)))|h)) | ~(~((~((h&u))>~(((h>j)&(f|h)))))) | 1 | 0 | 0 | 0 | entailment |
(j&f) | ~(~((~((h&u))>~(((h>j)&(f|h)))))) | 0 | 0 | 0 | 0 | not entailment |
~((((f|h)&(h|(u|f)))|h)) | ((~(~((h>j)))>(~(u)>f))|~((j>(u>u)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(u)) | (f|(f|(f|u))) | 1 | 0 | 0 | 0 | entailment |
((~((u&u))|(u>h))&h) | ((u&(u>f))|(h&h)) | 1 | 1 | 0 | 0 | entailment |
~(~(u)) | ((u&(u>f))|(h&h)) | 0 | 0 | 0 | 0 | not entailment |
((~((u&u))|(u>h))&h) | (f|(f|(f|u))) | 0 | 1 | 0 | 0 | not entailment |
((f|(f>f))&h) | ((((f&j)|j)>((u&u)|f))|(h|(h|h))) | 1 | 0 | 0 | 0 | entailment |
((~((~((h|u))>f))&(u|j))&j) | ((~(f)&f)|~((h|u))) | 1 | 1 | 1 | 0 | entailment |
((f|(f>f))&h) | ((~(f)&f)|~((h|u))) | 0 | 0 | 0 | 0 | not entailment |
((~((~((h|u))>f))&(u|j))&j) | ((((f&j)|j)>((u&u)|f))|(h|(h|h))) | 0 | 0 | 1 | 0 | not entailment |
(f&j) | ((f|f)&((j&u)>f)) | 1 | 0 | 0 | 0 | entailment |
~((u>((j&u)>~(((((h|u)&f)>u)|u))))) | (((u|u)|(h>u))>u) | 1 | 1 | 1 | 0 | entailment |
(f&j) | (((u|u)|(h>u))>u) | 0 | 0 | 0 | 0 | not entailment |
~((u>((j&u)>~(((((h|u)&f)>u)|u))))) | ((f|f)&((j&u)>f)) | 0 | 1 | 1 | 0 | not entailment |
(~(f)|(~(((h>(f&f))|(u|j)))&(j|u))) | ((j|(j|(f|h)))>(h|j)) | 1 | 1 | 1 | 0 | entailment |
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