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>((z&(z|z))&((z&(x>z))&x))) | (((x>x)|((~(((x|z)>(z&z)))|x)|x))&(x>z)) | 1 | 0 | 1 | 0 | entailment |
~(~(~(z))) | ~((z|~(~((~((z>z))&x))))) | 1 | 0 | 0 | 0 | entailment |
(x>((z&(z|z))&((z&(x>z))&x))) | ~((z|~(~((~((z>z))&x))))) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(z))) | (((x>x)|((~(((x|z)>(z&z)))|x)|x))&(x>z)) | 0 | 0 | 0 | 0 | not entailment |
((c&(c|c))|(c&c)) | ((~((c>c))>(c>~((c>c))))&((c|c)|c)) | 1 | 0 | 1 | 0 | entailment |
~((((~(c)|c)|c)>(((c|(c>c))>c)&(c|c)))) | ((c&c)>~((c&c))) | 1 | 1 | 1 | 1 | entailment |
((c&(c|c))|(c&c)) | ((c&c)>~((c&c))) | 0 | 1 | 1 | 0 | not entailment |
~((((~(c)|c)|c)>(((c|(c>c))>c)&(c|c)))) | ((~((c>c))>(c>~((c>c))))&((c|c)|c)) | 0 | 1 | 1 | 1 | not entailment |
(((c&c)&c)|(c&((c>c)|c))) | (~(~(c))|((~(c)>c)&c)) | 1 | 1 | 1 | 1 | entailment |
~(((~(c)&(c>c))>(c&c))) | ~(~((((c>c)>c)>(c&~(c))))) | 1 | 0 | 1 | 1 | entailment |
(((c&c)&c)|(c&((c>c)|c))) | ~(~((((c>c)>c)>(c&~(c))))) | 0 | 0 | 1 | 1 | not entailment |
~(((~(c)&(c>c))>(c&c))) | (~(~(c))|((~(c)>c)&c)) | 0 | 1 | 1 | 1 | not entailment |
~(~(c)) | (c|c) | 1 | 1 | 1 | 1 | entailment |
~(c) | ~((c&(c>(c>c)))) | 1 | 0 | 1 | 0 | entailment |
~(~(c)) | ~((c&(c>(c>c)))) | 0 | 0 | 1 | 0 | not entailment |
~(c) | (c|c) | 0 | 1 | 1 | 0 | not entailment |
(c|c) | ~(~((((c|(c&c))>c)&(c|c)))) | 1 | 0 | 1 | 0 | entailment |
~(((c>c)>(~(c)>(c|(c|(~(c)>c)))))) | (~(~((~(c)|(c>c))))&~(c)) | 1 | 1 | 1 | 1 | entailment |
(c|c) | (~(~((~(c)|(c>c))))&~(c)) | 0 | 0 | 1 | 0 | not entailment |
~(((c>c)>(~(c)>(c|(c|(~(c)>c)))))) | ~(~((((c|(c&c))>c)&(c|c)))) | 0 | 1 | 1 | 1 | not entailment |
~(((y&d)>r)) | (y>(d|((s>r)&s))) | 1 | 0 | 0 | 0 | entailment |
(e&s) | ((s&(s|s))|k) | 1 | 0 | 0 | 0 | entailment |
~(((y&d)>r)) | ((s&(s|s))|k) | 0 | 1 | 0 | 0 | not entailment |
(e&s) | (y>(d|((s>r)&s))) | 0 | 0 | 0 | 0 | not entailment |
(k&(s&e)) | (((r|r)>e)|(k&y)) | 1 | 0 | 0 | 0 | entailment |
((~(~(s))&d)&~(~(k))) | ((d&(r|(e&s)))|d) | 1 | 1 | 0 | 0 | entailment |
(k&(s&e)) | ((d&(r|(e&s)))|d) | 0 | 0 | 0 | 0 | not entailment |
((~(~(s))&d)&~(~(k))) | (((r|r)>e)|(k&y)) | 0 | 1 | 0 | 0 | not entailment |
~(~((y&((y|y)>r)))) | (y>((d|e)|r)) | 1 | 1 | 0 | 0 | entailment |
~(((s>d)|d)) | ((~((k&~((d|s))))|(r>(e&r)))|~(y)) | 1 | 0 | 0 | 0 | entailment |
~(~((y&((y|y)>r)))) | ((~((k&~((d|s))))|(r>(e&r)))|~(y)) | 0 | 0 | 0 | 0 | not entailment |
~(((s>d)|d)) | (y>((d|e)|r)) | 0 | 1 | 0 | 0 | not entailment |
~(((~((k|d))|~(~((~(e)>k))))&~(k))) | (k|((d|s)|s)) | 1 | 1 | 0 | 0 | entailment |
((r&((y>~(e))|(s>e)))&~(((r&y)|(k|e)))) | (k>((~((k|~(y)))&k)|(~((~(y)&s))>e))) | 1 | 1 | 1 | 0 | entailment |
~(((~((k|d))|~(~((~(e)>k))))&~(k))) | (k>((~((k|~(y)))&k)|(~((~(y)&s))>e))) | 0 | 1 | 0 | 0 | not entailment |
((r&((y>~(e))|(s>e)))&~(((r&y)|(k|e)))) | (k|((d|s)|s)) | 0 | 1 | 0 | 0 | not entailment |
(e&d) | (~(s)>d) | 1 | 0 | 0 | 0 | entailment |
((e>y)&(s|((((r>k)|e)&y)&r))) | ((e|~((s&s)))>(s|r)) | 1 | 1 | 1 | 1 | entailment |
(e&d) | ((e|~((s&s)))>(s|r)) | 0 | 0 | 0 | 0 | not entailment |
((e>y)&(s|((((r>k)|e)&y)&r))) | (~(s)>d) | 0 | 1 | 0 | 0 | not entailment |
~((~((d>k))|((e>s)|((r&d)>y)))) | ((((y|e)&r)|(k>s))|((k|d)>r)) | 1 | 1 | 1 | 0 | entailment |
(~((r&k))&k) | (~(((r&s)|(r&r)))|((y|d)&(e&(d&s)))) | 1 | 0 | 0 | 0 | entailment |
~((~((d>k))|((e>s)|((r&d)>y)))) | (~(((r&s)|(r&r)))|((y|d)&(e&(d&s)))) | 0 | 0 | 1 | 0 | not entailment |
(~((r&k))&k) | ((((y|e)&r)|(k>s))|((k|d)>r)) | 0 | 0 | 0 | 0 | not entailment |
(((r>e)&d)&~(y)) | (y>s) | 1 | 1 | 0 | 0 | entailment |
(((~((d|e))>e)&r)&~(((d>(k>s))&r))) | ((d>(s&(y>d)))>y) | 1 | 1 | 0 | 0 | entailment |
(((r>e)&d)&~(y)) | ((d>(s&(y>d)))>y) | 0 | 1 | 0 | 0 | not entailment |
(((~((d|e))>e)&r)&~(((d>(k>s))&r))) | (y>s) | 0 | 1 | 0 | 0 | not entailment |
(k&s) | (k&((k|((s&s)|(e&y)))&((k|d)|(y&~(s))))) | 1 | 0 | 0 | 0 | entailment |
(~((((k>k)|(k>~(k)))&e))&(s&(s|~(y)))) | (e>(~((e&(~(e)|(s&(s|r)))))&(y|d))) | 1 | 1 | 0 | 0 | entailment |
(k&s) | (e>(~((e&(~(e)|(s&(s|r)))))&(y|d))) | 0 | 0 | 0 | 0 | not entailment |
(~((((k>k)|(k>~(k)))&e))&(s&(s|~(y)))) | (k&((k|((s&s)|(e&y)))&((k|d)|(y&~(s))))) | 0 | 1 | 0 | 0 | not entailment |
~(~((y&(d&((d&d)>y))))) | (s|(e|d)) | 1 | 1 | 0 | 0 | entailment |
~(r) | ((~(s)|(k>e))|~(r)) | 1 | 0 | 0 | 0 | entailment |
~(~((y&(d&((d&d)>y))))) | ((~(s)|(k>e))|~(r)) | 0 | 1 | 0 | 0 | not entailment |
~(r) | (s|(e|d)) | 0 | 0 | 0 | 0 | not entailment |
((((e>(y&r))&y)|k)&d) | (~(s)>(d|s)) | 1 | 1 | 0 | 0 | entailment |
((r>~(k))&~((r>y))) | (~((y|k))|~(((k>d)|(y|e)))) | 1 | 0 | 0 | 0 | entailment |
((((e>(y&r))&y)|k)&d) | (~((y|k))|~(((k>d)|(y|e)))) | 0 | 0 | 1 | 0 | not entailment |
((r>~(k))&~((r>y))) | (~(s)>(d|s)) | 0 | 1 | 0 | 0 | not entailment |
(~(r)&k) | ~(~(~((~(((e>e)&(k&k)))&d)))) | 1 | 0 | 0 | 0 | entailment |
((((d&r)&s)>((s>y)&((d&k)&y)))&r) | ((s|~((r>s)))|~(k)) | 1 | 1 | 1 | 0 | entailment |
(~(r)&k) | ((s|~((r>s)))|~(k)) | 0 | 0 | 0 | 0 | not entailment |
((((d&r)&s)>((s>y)&((d&k)&y)))&r) | ~(~(~((~(((e>e)&(k&k)))&d)))) | 0 | 1 | 0 | 0 | not entailment |
(~(((e&k)>s))&(~(r)>k)) | (~(s)&(~(s)|y)) | 1 | 1 | 0 | 0 | entailment |
((y&s)&(e|r)) | (((e&k)>s)|(y|d)) | 1 | 0 | 0 | 0 | entailment |
(~(((e&k)>s))&(~(r)>k)) | (((e&k)>s)|(y|d)) | 0 | 1 | 0 | 0 | not entailment |
((y&s)&(e|r)) | (~(s)&(~(s)|y)) | 0 | 0 | 1 | 0 | not entailment |
(o&((o>o)|(o|(o>o)))) | (o&o) | 1 | 1 | 1 | 1 | entailment |
~(((((o|(o&o))>(o|o))&~((o&o)))>(o|o))) | ~((o|~(~(((((o&o)>(o>o))|(o|o))>o))))) | 1 | 1 | 1 | 1 | entailment |
(o&((o>o)|(o|(o>o)))) | ~((o|~(~(((((o&o)>(o>o))|(o|o))>o))))) | 0 | 0 | 1 | 1 | not entailment |
~(((((o|(o&o))>(o|o))&~((o&o)))>(o|o))) | (o&o) | 0 | 1 | 1 | 1 | not entailment |
(o|(o|(o&o))) | ((o&(o>(o|o)))&(o&(o&~(~((o&o)))))) | 1 | 0 | 1 | 0 | entailment |
(~((~((o|o))&(o>o)))>~(o)) | (((o|o)&(o>o))>~(((o&o)&o))) | 1 | 1 | 1 | 1 | entailment |
(o|(o|(o&o))) | (((o|o)&(o>o))>~(((o&o)&o))) | 0 | 0 | 1 | 0 | not entailment |
(~((~((o|o))&(o>o)))>~(o)) | ((o&(o>(o|o)))&(o&(o&~(~((o&o)))))) | 0 | 0 | 1 | 1 | not entailment |
(o&o) | (o&((o>(o>o))>(o|o))) | 1 | 0 | 1 | 0 | entailment |
~((o|(o&o))) | ~(o) | 1 | 1 | 1 | 1 | entailment |
(o&o) | ~(o) | 0 | 1 | 1 | 0 | not entailment |
~((o|(o&o))) | (o&((o>(o>o))>(o|o))) | 0 | 0 | 1 | 0 | not entailment |
~(~(((~(((o>(o|o))>o))|o)&~(~(o))))) | (~((o|o))>o) | 1 | 1 | 1 | 1 | entailment |
~((~((o&(o>o)))>o)) | ~((o|o)) | 1 | 1 | 1 | 1 | entailment |
~(~(((~(((o>(o|o))>o))|o)&~(~(o))))) | ~((o|o)) | 0 | 1 | 1 | 1 | not entailment |
~((~((o&(o>o)))>o)) | (~((o|o))>o) | 0 | 1 | 1 | 1 | not entailment |
((~((~(~(o))>o))|(o>o))>o) | (o|o) | 1 | 1 | 1 | 1 | entailment |
(~((o|(o>o)))|(~((o&o))&~(((o|o)|o)))) | ~(((~(~((~(o)&o)))&~(o))|o)) | 1 | 1 | 1 | 1 | entailment |
((~((~(~(o))>o))|(o>o))>o) | ~(((~(~((~(o)&o)))&~(o))|o)) | 0 | 0 | 1 | 1 | not entailment |
(~((o|(o>o)))|(~((o&o))&~(((o|o)|o)))) | (o|o) | 0 | 1 | 1 | 1 | not entailment |
((o|o)|(o|o)) | (((((o|(o>o))>o)|o)>o)&o) | 1 | 0 | 1 | 0 | entailment |
~((o|o)) | ~(o) | 1 | 1 | 1 | 1 | entailment |
((o|o)|(o|o)) | ~(o) | 0 | 1 | 1 | 0 | not entailment |
~((o|o)) | (((((o|(o>o))>o)|o)>o)&o) | 0 | 0 | 1 | 0 | not entailment |
((y>x)&((c|c)&(((~(c)|(y>x))&c)&y))) | (x&(x&x)) | 1 | 1 | 1 | 1 | entailment |
~(x) | (x>~(((x|(c&y))>(y>c)))) | 1 | 0 | 0 | 0 | entailment |
((y>x)&((c|c)&(((~(c)|(y>x))&c)&y))) | (x>~(((x|(c&y))>(y>c)))) | 0 | 1 | 1 | 0 | not entailment |
~(x) | (x&(x&x)) | 0 | 0 | 1 | 0 | not entailment |
(x&y) | (((c>x)&~(x))>c) | 1 | 0 | 0 | 0 | entailment |
(~(y)|~((y>(y>x)))) | (x>~((y&y))) | 1 | 1 | 1 | 1 | entailment |
(x&y) | (x>~((y&y))) | 0 | 0 | 1 | 0 | not entailment |
(~(y)|~((y>(y>x)))) | (((c>x)&~(x))>c) | 0 | 1 | 0 | 0 | not entailment |
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