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 |
|---|---|---|---|---|---|---|
~(((j&i)|(c|d))) | ((j|i)|((~(a)&(((a|j)|a)>q))&q)) | 0 | 0 | 0 | 0 | not entailment |
~((j>(a&a))) | (q>~((q&c))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((((d&i)>q)|(j&i))))) | (x>~((i&j))) | 1 | 1 | 0 | 0 | entailment |
((((a>q)|d)>(j>d))&q) | (q&(c>(~(c)>i))) | 1 | 1 | 0 | 0 | entailment |
~(~(~((((d&i)>q)|(j&i))))) | (q&(c>(~(c)>i))) | 0 | 1 | 0 | 0 | not entailment |
((((a>q)|d)>(j>d))&q) | (x>~((i&j))) | 0 | 1 | 0 | 0 | not entailment |
(((x|j)>~(i))&i) | (a|((d>j)>~(d))) | 1 | 1 | 0 | 0 | entailment |
((i|q)>((c|(c&d))&((q>a)>~(a)))) | ~(~(((q&d)>c))) | 1 | 1 | 1 | 0 | entailment |
(((x|j)>~(i))&i) | ~(~(((q&d)>c))) | 0 | 1 | 0 | 0 | not entailment |
((i|q)>((c|(c&d))&((q>a)>~(a)))) | (a|((d>j)>~(d))) | 0 | 1 | 0 | 0 | not entailment |
~((q|(x|((x|c)|~((d|q)))))) | (((x&a)|i)>(i&i)) | 1 | 1 | 0 | 0 | entailment |
((d&(x>c))&~(~((x|(x|x))))) | ((((c&(j&d))|(((j&a)|j)|(i>j)))&a)|(c|i)) | 1 | 0 | 0 | 0 | entailment |
~((q|(x|((x|c)|~((d|q)))))) | ((((c&(j&d))|(((j&a)|j)|(i>j)))&a)|(c|i)) | 0 | 0 | 0 | 0 | not entailment |
((d&(x>c))&~(~((x|(x|x))))) | (((x&a)|i)>(i&i)) | 0 | 1 | 0 | 0 | not entailment |
(a&((i>(c>d))&i)) | ~(~((d|i))) | 1 | 1 | 1 | 1 | entailment |
~(~(((c&q)|~(((c>a)>(j|d)))))) | ((j>c)|((d|(d>c))>((j&i)>~(i)))) | 1 | 1 | 0 | 0 | entailment |
(a&((i>(c>d))&i)) | ((j>c)|((d|(d>c))>((j&i)>~(i)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((c&q)|~(((c>a)>(j|d)))))) | ~(~((d|i))) | 0 | 1 | 0 | 0 | not entailment |
~(((i>((a>q)>q))|j)) | (q>~(x)) | 1 | 1 | 0 | 0 | entailment |
~((~(((d|j)&i))|((x&q)>(d|d)))) | (j&(d>c)) | 1 | 1 | 0 | 0 | entailment |
~(((i>((a>q)>q))|j)) | (j&(d>c)) | 0 | 1 | 0 | 0 | not entailment |
~((~(((d|j)&i))|((x&q)>(d|d)))) | (q>~(x)) | 0 | 1 | 1 | 0 | not entailment |
~((~(((j|i)>q))>((j&x)>a))) | (j>x) | 1 | 1 | 1 | 0 | entailment |
~((~(d)|c)) | (d&((d|j)|c)) | 1 | 1 | 0 | 0 | entailment |
~((~(((j|i)>q))>((j&x)>a))) | (d&((d|j)|c)) | 0 | 1 | 0 | 0 | not entailment |
~((~(d)|c)) | (j>x) | 0 | 1 | 0 | 0 | not entailment |
(~(~(d))&(x&c)) | (((q&i)>(j|(x&a)))|(a|d)) | 1 | 0 | 0 | 0 | entailment |
~((((q|q)&(d|q))>(~((x|a))&(d&i)))) | (q|(i>(a&d))) | 1 | 1 | 1 | 1 | entailment |
(~(~(d))&(x&c)) | (q|(i>(a&d))) | 0 | 1 | 0 | 0 | not entailment |
~((((q|q)&(d|q))>(~((x|a))&(d&i)))) | (((q&i)>(j|(x&a)))|(a|d)) | 0 | 1 | 0 | 0 | not entailment |
((e&~(r))&(r|w)) | (r|e) | 1 | 1 | 1 | 1 | entailment |
(~(~(~(((r&r)|e))))&(w|(e>w))) | (~(a)|~(e)) | 1 | 1 | 0 | 0 | entailment |
((e&~(r))&(r|w)) | (~(a)|~(e)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(((r&r)|e))))&(w|(e>w))) | (r|e) | 0 | 1 | 1 | 0 | not entailment |
((w&a)|~(~(w))) | ((w|r)>w) | 1 | 1 | 0 | 0 | entailment |
((a&a)&(r|(w&e))) | (((r&(w|a))>w)>(e|r)) | 1 | 0 | 1 | 0 | entailment |
((w&a)|~(~(w))) | (((r&(w|a))>w)>(e|r)) | 0 | 0 | 0 | 0 | not entailment |
((a&a)&(r|(w&e))) | ((w|r)>w) | 0 | 1 | 1 | 0 | not entailment |
((a>r)&(a|(a&e))) | (~(~(a))|w) | 1 | 1 | 0 | 0 | entailment |
~((((r|(a>a))>~((((w>a)|r)&a)))>(e>r))) | ((e|(((w|e)>r)&~(w)))&((e&((w&r)|a))>a)) | 1 | 1 | 1 | 0 | entailment |
((a>r)&(a|(a&e))) | ((e|(((w|e)>r)&~(w)))&((e&((w&r)|a))>a)) | 0 | 0 | 0 | 0 | not entailment |
~((((r|(a>a))>~((((w>a)|r)&a)))>(e>r))) | (~(~(a))|w) | 0 | 1 | 1 | 1 | not entailment |
(~((a|r))&(w|a)) | (((r|e)|r)|w) | 1 | 1 | 0 | 0 | entailment |
(e>(a&w)) | (((e&a)|e)>(~(a)>a)) | 1 | 0 | 1 | 0 | entailment |
(~((a|r))&(w|a)) | (((e&a)|e)>(~(a)>a)) | 0 | 0 | 0 | 0 | not entailment |
(e>(a&w)) | (((r|e)|r)|w) | 0 | 0 | 0 | 0 | not entailment |
((w|w)&(w&~(r))) | (r>(w|(r&(w&~(e))))) | 1 | 0 | 0 | 0 | entailment |
(((w>w)>(a>(r&e)))&(~(a)>a)) | ((~((e>r))>w)&(e|~(w))) | 1 | 1 | 1 | 0 | entailment |
((w|w)&(w&~(r))) | ((~((e>r))>w)&(e|~(w))) | 0 | 0 | 0 | 0 | not entailment |
(((w>w)>(a>(r&e)))&(~(a)>a)) | (r>(w|(r&(w&~(e))))) | 0 | 1 | 1 | 0 | not entailment |
(((a&a)>(~(a)&r))>a) | (r>a) | 1 | 1 | 1 | 1 | entailment |
(a>(r&e)) | ((a&(w&e))>(a>((e&r)&(e|a)))) | 1 | 0 | 0 | 0 | entailment |
(((a&a)>(~(a)&r))>a) | ((a&(w&e))>(a>((e&r)&(e|a)))) | 0 | 0 | 0 | 0 | not entailment |
(a>(r&e)) | (r>a) | 0 | 1 | 1 | 0 | not entailment |
(e&a) | (~(~((a>e)))>(e&e)) | 1 | 0 | 1 | 0 | entailment |
((a|~((e>e)))>w) | ~(~(~(((((a>e)&e)&(r&~((r&w))))&a)))) | 1 | 0 | 0 | 0 | entailment |
(e&a) | ~(~(~(((((a>e)&e)&(r&~((r&w))))&a)))) | 0 | 0 | 0 | 0 | not entailment |
((a|~((e>e)))>w) | (~(~((a>e)))>(e&e)) | 0 | 0 | 1 | 0 | not entailment |
(e&r) | (((a&a)>~((a&w)))>((e>((a&r)|e))&e)) | 1 | 0 | 0 | 0 | entailment |
~((~(~(r))>((r&a)|e))) | ((~((w&(r&w)))&(a>w))>(~(e)&(a>r))) | 1 | 0 | 0 | 0 | entailment |
(e&r) | ((~((w&(r&w)))&(a>w))>(~(e)&(a>r))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(r))>((r&a)|e))) | (((a&a)>~((a&w)))>((e>((a&r)|e))&e)) | 0 | 0 | 0 | 0 | not entailment |
(r&(r&(((a|r)>w)|((a&a)&w)))) | (~((w|w))|r) | 1 | 1 | 1 | 0 | entailment |
((w|r)&e) | (e|a) | 1 | 1 | 0 | 0 | entailment |
(r&(r&(((a|r)>w)|((a&a)&w)))) | (e|a) | 0 | 1 | 0 | 0 | not entailment |
((w|r)&e) | (~((w|w))|r) | 0 | 0 | 1 | 0 | not entailment |
(r&(a&(e|a))) | (r&((r|a)|(r>(e|~(r))))) | 1 | 0 | 1 | 0 | entailment |
~(~((w&(e>r)))) | (~(~(a))>w) | 1 | 1 | 0 | 0 | entailment |
(r&(a&(e|a))) | (~(~(a))>w) | 0 | 1 | 0 | 0 | not entailment |
~(~((w&(e>r)))) | (r&((r|a)|(r>(e|~(r))))) | 0 | 0 | 0 | 0 | not entailment |
((r&e)|~((w|(w>r)))) | ((r&e)|((~((w&e))|(w&e))>r)) | 1 | 0 | 1 | 0 | entailment |
((w>e)&w) | ~((~((((r|e)|((r|w)&e))&w))|~(w))) | 1 | 0 | 0 | 0 | entailment |
((r&e)|~((w|(w>r)))) | ~((~((((r|e)|((r|w)&e))&w))|~(w))) | 0 | 0 | 1 | 1 | not entailment |
((w>e)&w) | ((r&e)|((~((w&e))|(w&e))>r)) | 0 | 0 | 0 | 0 | not entailment |
(w&(~((~(r)&(a&a)))&(r&r))) | ((((e&(a&w))&r)&e)|w) | 1 | 1 | 0 | 0 | entailment |
(e>(e&~((e&w)))) | (((e&a)|e)>~((w|w))) | 1 | 0 | 0 | 0 | entailment |
(w&(~((~(r)&(a&a)))&(r&r))) | (((e&a)|e)>~((w|w))) | 0 | 1 | 0 | 0 | not entailment |
(e>(e&~((e&w)))) | ((((e&(a&w))&r)&e)|w) | 0 | 0 | 0 | 0 | not entailment |
~(~((w&r))) | (e|~(~(((w&w)|(r|~(~(r))))))) | 1 | 0 | 0 | 0 | entailment |
~(((w|a)|(((r>a)&(a>a))&w))) | ~(((((w|~(w))>a)|(~(r)>~((r>a))))&w)) | 1 | 0 | 1 | 0 | entailment |
~(~((w&r))) | ~(((((w|~(w))>a)|(~(r)>~((r>a))))&w)) | 0 | 0 | 0 | 0 | not entailment |
~(((w|a)|(((r>a)&(a>a))&w))) | (e|~(~(((w&w)|(r|~(~(r))))))) | 0 | 0 | 0 | 0 | not entailment |
((a|e)&e) | (((e|a)|e)>((r&a)|(r|e))) | 1 | 0 | 0 | 0 | entailment |
(w>~(((w|(~((w|a))>a))&w))) | (((w>(w&e))&r)|(w>a)) | 1 | 1 | 0 | 0 | entailment |
((a|e)&e) | (((w>(w&e))&r)|(w>a)) | 0 | 0 | 0 | 0 | not entailment |
(w>~(((w|(~((w|a))>a))&w))) | (((e|a)|e)>((r&a)|(r|e))) | 0 | 1 | 0 | 0 | not entailment |
((w>r)|((e|a)>(((a&(w>(r|a)))|(r>a))&r))) | (~((((r|w)|~((r>(a>r))))>(w&r)))>(e>r)) | 1 | 1 | 1 | 0 | entailment |
~((~((~(e)&w))>~((~(a)>w)))) | (~((e|a))>e) | 1 | 1 | 1 | 1 | entailment |
((w>r)|((e|a)>(((a&(w>(r|a)))|(r>a))&r))) | (~((e|a))>e) | 0 | 1 | 1 | 0 | not entailment |
~((~((~(e)&w))>~((~(a)>w)))) | (~((((r|w)|~((r>(a>r))))>(w&r)))>(e>r)) | 0 | 0 | 0 | 0 | not entailment |
((p&s)&(((p>y)>l)|~((~(p)|s)))) | (p|y) | 1 | 1 | 1 | 0 | entailment |
((y|l)|(b&l)) | ~((~((l|((s>s)>(p>y))))&~(((y&p)&y)))) | 1 | 0 | 0 | 0 | entailment |
((p&s)&(((p>y)>l)|~((~(p)|s)))) | ~((~((l|((s>s)>(p>y))))&~(((y&p)&y)))) | 0 | 0 | 1 | 0 | not entailment |
((y|l)|(b&l)) | (p|y) | 0 | 1 | 0 | 0 | not entailment |
((u&y)|u) | (p|(s|u)) | 1 | 1 | 0 | 0 | entailment |
~((((~(q)|(l|~((s&u))))&(l&l))>(u|y))) | (p>(~(l)>l)) | 1 | 1 | 0 | 0 | entailment |
((u&y)|u) | (p>(~(l)>l)) | 0 | 0 | 0 | 0 | not entailment |
~((((~(q)|(l|~((s&u))))&(l&l))>(u|y))) | (p|(s|u)) | 0 | 1 | 0 | 0 | not entailment |
~((((y&p)&(b&l))>~((p&y)))) | (~((~(u)>p))>~(((b&y)&y))) | 1 | 1 | 0 | 0 | entailment |
(~(~(q))&((b>(s>y))>b)) | ~(~((u|q))) | 1 | 1 | 0 | 0 | entailment |
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