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