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 |
---|---|---|---|---|---|---|
((x&w)&w) | (m>x) | 1 | 1 | 0 | 0 | entailment |
((m|(m&w))&w) | ~(~(m)) | 1 | 1 | 1 | 1 | entailment |
((x&w)&w) | ~(~(m)) | 0 | 1 | 0 | 0 | not entailment |
((m|(m&w))&w) | (m>x) | 0 | 1 | 0 | 0 | not entailment |
((~((x|(m|~((m|x)))))|w)&~(~((x&w)))) | (((w|x)&(x|x))|(m&m)) | 1 | 1 | 1 | 1 | entailment |
((((w>~((m&x)))|(x|x))>m)|~(((x>m)>m))) | (x>m) | 1 | 1 | 1 | 1 | entailment |
((~((x|(m|~((m|x)))))|w)&~(~((x&w)))) | (x>m) | 0 | 1 | 1 | 1 | not entailment |
((((w>~((m&x)))|(x|x))>m)|~(((x>m)>m))) | (((w|x)&(x|x))|(m&m)) | 0 | 1 | 1 | 1 | not entailment |
(w&(m&w)) | ((m>(w>w))>m) | 1 | 0 | 1 | 0 | entailment |
(~(m)&((m>m)&(m>m))) | ~(m) | 1 | 1 | 1 | 1 | entailment |
(w&(m&w)) | ~(m) | 0 | 1 | 1 | 0 | not entailment |
(~(m)&((m>m)&(m>m))) | ((m>(w>w))>m) | 0 | 1 | 0 | 0 | not entailment |
(((x&~(m))>((x|w)|w))>((m|m)&w)) | (~(w)>((m&(w>w))|(w&x))) | 1 | 1 | 1 | 1 | entailment |
(x&(((x>m)|~(~((x|m))))&~(~((x|x))))) | (((x|x)|(x|x))&x) | 1 | 1 | 1 | 1 | entailment |
(((x&~(m))>((x|w)|w))>((m|m)&w)) | (((x|x)|(x|x))&x) | 0 | 1 | 1 | 1 | not entailment |
(x&(((x>m)|~(~((x|m))))&~(~((x|x))))) | (~(w)>((m&(w>w))|(w&x))) | 0 | 1 | 0 | 0 | not entailment |
(((x>(m&w))|((x>(x&w))>(~(x)&w)))&x) | (~((((w|x)|w)>~(m)))|x) | 1 | 1 | 1 | 1 | entailment |
((~(~(~(w)))>~((x&x)))&w) | (((m|x)|x)>(x>w)) | 1 | 1 | 0 | 0 | entailment |
(((x>(m&w))|((x>(x&w))>(~(x)&w)))&x) | (((m|x)|x)>(x>w)) | 0 | 1 | 1 | 0 | not entailment |
((~(~(~(w)))>~((x&x)))&w) | (~((((w|x)|w)>~(m)))|x) | 0 | 1 | 0 | 0 | not entailment |
(m&w) | (w|((x>x)>w)) | 1 | 0 | 0 | 0 | entailment |
(m&x) | ((x&x)|x) | 1 | 0 | 1 | 1 | entailment |
(m&w) | ((x&x)|x) | 0 | 0 | 0 | 0 | not entailment |
(m&x) | (w|((x>x)>w)) | 0 | 0 | 0 | 0 | not entailment |
((x|x)&m) | (m|(w&(~((w>m))>((x>w)|x)))) | 1 | 0 | 0 | 0 | entailment |
~((m|~(~(x)))) | (m>((x|(w>m))>~(w))) | 1 | 0 | 0 | 0 | entailment |
((x|x)&m) | (m>((x|(w>m))>~(w))) | 0 | 0 | 0 | 0 | not entailment |
~((m|~(~(x)))) | (m|(w&(~((w>m))>((x>w)|x)))) | 0 | 0 | 0 | 0 | not entailment |
(w&(x&m)) | (~((m&(m|(((m|w)|w)>x))))|x) | 1 | 0 | 1 | 0 | entailment |
(~(((m&x)|~(w)))&(m|~(w))) | ((w&~(x))&w) | 1 | 1 | 1 | 1 | entailment |
(w&(x&m)) | ((w&~(x))&w) | 0 | 0 | 1 | 0 | not entailment |
(~(((m&x)|~(w)))&(m|~(w))) | (~((m&(m|(((m|w)|w)>x))))|x) | 0 | 1 | 1 | 0 | not entailment |
(((x|(w>(m>m)))|(x&(m>x)))>(m&w)) | ((m&(x>w))|w) | 1 | 1 | 1 | 1 | entailment |
~(((m>x)>((m|(w>m))>(m&((w>x)&~(w)))))) | (((x|x)|x)|~(m)) | 1 | 1 | 1 | 1 | entailment |
(((x|(w>(m>m)))|(x&(m>x)))>(m&w)) | (((x|x)|x)|~(m)) | 0 | 1 | 1 | 0 | not entailment |
~(((m>x)>((m|(w>m))>(m&((w>x)&~(w)))))) | ((m&(x>w))|w) | 0 | 1 | 1 | 1 | not entailment |
~((~((x>m))>~(x))) | (~(x)>((w|x)&(m>m))) | 1 | 1 | 0 | 0 | entailment |
~(((((x&x)&(x&m))|m)|w)) | ~(w) | 1 | 1 | 1 | 1 | entailment |
~((~((x>m))>~(x))) | ~(w) | 0 | 1 | 0 | 0 | not entailment |
~(((((x&x)&(x&m))|m)|w)) | (~(x)>((w|x)&(m>m))) | 0 | 1 | 1 | 0 | not entailment |
((m&x)&w) | (~((x&w))|m) | 1 | 0 | 1 | 0 | entailment |
(~(~((w>~(~((m>m))))))&(m>(~(x)&x))) | ~((m&w)) | 1 | 1 | 1 | 1 | entailment |
((m&x)&w) | ~((m&w)) | 0 | 1 | 1 | 0 | not entailment |
(~(~((w>~(~((m>m))))))&(m>(~(x)&x))) | (~((x&w))|m) | 0 | 1 | 1 | 1 | not entailment |
((w&(w|w))&~((m&m))) | ((~((w&w))&w)|(~(((m|m)|(x|(w&x))))|w)) | 1 | 0 | 0 | 0 | entailment |
(w>~((~(m)|x))) | (w>m) | 1 | 1 | 1 | 1 | entailment |
((w&(w|w))&~((m&m))) | (w>m) | 0 | 1 | 1 | 0 | not entailment |
(w>~((~(m)|x))) | ((~((w&w))&w)|(~(((m|m)|(x|(w&x))))|w)) | 0 | 0 | 1 | 0 | not entailment |
~((x>~((~(((m|m)>w))>w)))) | (x|w) | 1 | 1 | 1 | 1 | entailment |
((~(w)>(((w>~(x))&m)&m))&((w|m)|w)) | (~(m)>(w&w)) | 1 | 1 | 1 | 1 | entailment |
~((x>~((~(((m|m)>w))>w)))) | (~(m)>(w&w)) | 0 | 1 | 1 | 0 | not entailment |
((~(w)>(((w>~(x))&m)&m))&((w|m)|w)) | (x|w) | 0 | 1 | 1 | 0 | not entailment |
(w|~((m>m))) | ((x|(w>w))>((x&w)|~(x))) | 1 | 0 | 0 | 0 | entailment |
(m|m) | (x|m) | 1 | 1 | 0 | 0 | entailment |
(w|~((m>m))) | (x|m) | 0 | 1 | 0 | 0 | not entailment |
(m|m) | ((x|(w>w))>((x&w)|~(x))) | 0 | 0 | 0 | 0 | not entailment |
(((~(x)&m)&(x|m))&(m|(~(((m&m)>m))|x))) | (x>(~(x)&(m>m))) | 1 | 1 | 1 | 1 | entailment |
(~((m&(m>x)))>((~((x>x))&x)&((w>x)|m))) | (x|(m&w)) | 1 | 1 | 1 | 0 | entailment |
(((~(x)&m)&(x|m))&(m|(~(((m&m)>m))|x))) | (x|(m&w)) | 0 | 1 | 0 | 0 | not entailment |
(~((m&(m>x)))>((~((x>x))&x)&((w>x)|m))) | (x>(~(x)&(m>m))) | 0 | 1 | 1 | 1 | not entailment |
~(~(((x|(w&x))>w))) | ~((~(w)&x)) | 1 | 1 | 1 | 1 | entailment |
((x|x)&(x>m)) | (((w|m)|(x&(m&~(m))))|m) | 1 | 0 | 0 | 0 | entailment |
~(~(((x|(w&x))>w))) | (((w|m)|(x&(m&~(m))))|m) | 0 | 0 | 0 | 0 | not entailment |
((x|x)&(x>m)) | ~((~(w)&x)) | 0 | 1 | 0 | 0 | not entailment |
~(((((m>x)|x)|((x>m)|m))&(x|w))) | ((x&(w>w))>((x>~(~((x|x))))&(w&m))) | 1 | 0 | 1 | 0 | entailment |
((x|~(w))&(w|w)) | ~(~(x)) | 1 | 1 | 1 | 1 | entailment |
~(((((m>x)|x)|((x>m)|m))&(x|w))) | ~(~(x)) | 0 | 1 | 1 | 1 | not entailment |
((x|~(w))&(w|w)) | ((x&(w>w))>((x>~(~((x|x))))&(w&m))) | 0 | 0 | 0 | 0 | not entailment |
((m|~((w|(w&m))))&((m|m)>(w&~(w)))) | (w>m) | 1 | 1 | 1 | 1 | entailment |
((((m&x)|x)&(~(w)|(x|((x|(w&m))>x))))&x) | (x&~(~(x))) | 1 | 1 | 1 | 1 | entailment |
((m|~((w|(w&m))))&((m|m)>(w&~(w)))) | (x&~(~(x))) | 0 | 1 | 0 | 0 | not entailment |
((((m&x)|x)&(~(w)|(x|((x|(w&m))>x))))&x) | (w>m) | 0 | 1 | 1 | 1 | not entailment |
((m>o)>m) | ((((t>t)>~(m))&o)>((t|t)&~(y))) | 1 | 0 | 0 | 0 | entailment |
(((y>t)&(o>y))&((y&(o|y))&(y|y))) | (t|(o>((m|m)>y))) | 1 | 1 | 0 | 0 | entailment |
((m>o)>m) | (t|(o>((m|m)>y))) | 0 | 0 | 0 | 0 | not entailment |
(((y>t)&(o>y))&((y&(o|y))&(y|y))) | ((((t>t)>~(m))&o)>((t|t)&~(y))) | 0 | 1 | 0 | 0 | not entailment |
((m&y)&(m>(y|m))) | ((o|((t>(y&m))>(m&~((o&(m&o))))))>(m>y)) | 1 | 0 | 0 | 0 | entailment |
(o&m) | ~(((m>o)>~(((m&t)>((t>m)|(t|o)))))) | 1 | 0 | 0 | 0 | entailment |
((m&y)&(m>(y|m))) | ~(((m>o)>~(((m&t)>((t>m)|(t|o)))))) | 0 | 0 | 0 | 0 | not entailment |
(o&m) | ((o|((t>(y&m))>(m&~((o&(m&o))))))>(m>y)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((y&(y>o))&(o|m)))) | (((o|y)>o)|t) | 1 | 1 | 0 | 0 | entailment |
((o|((m&(y|o))|y))&m) | (((o&(y&t))|m)&(((o|o)>y)|o)) | 1 | 0 | 0 | 0 | entailment |
~(~(((y&(y>o))&(o|m)))) | (((o&(y&t))|m)&(((o|o)>y)|o)) | 0 | 0 | 0 | 0 | not entailment |
((o|((m&(y|o))|y))&m) | (((o|y)>o)|t) | 0 | 1 | 0 | 0 | not entailment |
~(~(((y&o)&(o>~(t))))) | ((o|o)>y) | 1 | 1 | 1 | 1 | entailment |
(((~((t|y))>y)&~(~(o)))&(m&(y>m))) | ((m&m)|(m&(m>~((t&y))))) | 1 | 1 | 1 | 0 | entailment |
~(~(((y&o)&(o>~(t))))) | ((m&m)|(m&(m>~((t&y))))) | 0 | 1 | 0 | 0 | not entailment |
(((~((t|y))>y)&~(~(o)))&(m&(y>m))) | ((o|o)>y) | 0 | 1 | 1 | 0 | not entailment |
~(((~(~(m))>t)|o)) | ((((o&m)|y)>(~((o|m))>m))|o) | 1 | 0 | 0 | 0 | entailment |
((~((t>t))|~(~(t)))&y) | ~((~((t|y))|~((y|(~((y>(m&t)))&y))))) | 1 | 0 | 0 | 0 | entailment |
~(((~(~(m))>t)|o)) | ~((~((t|y))|~((y|(~((y>(m&t)))&y))))) | 0 | 0 | 0 | 0 | not entailment |
((~((t>t))|~(~(t)))&y) | ((((o&m)|y)>(~((o|m))>m))|o) | 0 | 0 | 0 | 0 | not entailment |
(((~(y)&(t>~((t>(m>m)))))|t)&(o&y)) | ((y&o)|((y&o)&m)) | 1 | 1 | 1 | 1 | entailment |
(m&((o&m)&((m|o)&((m&m)>m)))) | ((y&t)>(~(((t|~(o))&((t&m)>(m>o))))|m)) | 1 | 0 | 0 | 0 | entailment |
(((~(y)&(t>~((t>(m>m)))))|t)&(o&y)) | ((y&t)>(~(((t|~(o))&((t&m)>(m>o))))|m)) | 0 | 0 | 1 | 0 | not entailment |
(m&((o&m)&((m|o)&((m&m)>m)))) | ((y&o)|((y&o)&m)) | 0 | 1 | 0 | 0 | not entailment |
~((o|(t>o))) | (m|(t&t)) | 1 | 1 | 0 | 0 | entailment |
(o|o) | ((~(~(y))&(m|t))|(((o&t)|~(m))|o)) | 1 | 0 | 0 | 0 | entailment |
~((o|(t>o))) | ((~(~(y))&(m|t))|(((o&t)|~(m))|o)) | 0 | 0 | 0 | 0 | not entailment |
(o|o) | (m|(t&t)) | 0 | 0 | 0 | 0 | not entailment |
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