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 |
|---|---|---|---|---|---|---|
(((a|(s|q))>(s&(q|a)))&b) | ~(~(((s&(q>e))>(((b>q)&s)|~((w|s)))))) | 0 | 0 | 0 | 0 | not entailment |
(((s&~(w))|b)&~((b|e))) | ~((~(((q>b)&l))&~(s))) | 1 | 1 | 0 | 0 | entailment |
(~(q)|~(l)) | ((((l&q)&((s|a)>s))>~((~(q)>a)))|b) | 1 | 0 | 0 | 0 | entailment |
(((s&~(w))|b)&~((b|e))) | ((((l&q)&((s|a)>s))>~((~(q)>a)))|b) | 0 | 0 | 0 | 0 | not entailment |
(~(q)|~(l)) | ~((~(((q>b)&l))&~(s))) | 0 | 0 | 0 | 0 | not entailment |
((s|q)&~(s)) | ~((((a&((w&a)&l))>(s>((q>b)|s)))>s)) | 1 | 0 | 0 | 0 | entailment |
~((b>((q|(a|e))&((q|w)|(s&q))))) | ((b|s)|(a&(a&(l|q)))) | 1 | 1 | 0 | 0 | entailment |
((s|q)&~(s)) | ((b|s)|(a&(a&(l|q)))) | 0 | 0 | 0 | 0 | not entailment |
~((b>((q|(a|e))&((q|w)|(s&q))))) | ~((((a&((w&a)&l))>(s>((q>b)|s)))>s)) | 0 | 0 | 0 | 0 | not entailment |
~(~(e)) | (~(~(~(q)))>(w|e)) | 1 | 0 | 0 | 0 | entailment |
((b>(b>b))&~((~(e)>(a>(q&b))))) | (~(~((w|a)))|(l|q)) | 1 | 1 | 0 | 0 | entailment |
~(~(e)) | (~(~((w|a)))|(l|q)) | 0 | 0 | 0 | 0 | not entailment |
((b>(b>b))&~((~(e)>(a>(q&b))))) | (~(~(~(q)))>(w|e)) | 0 | 1 | 0 | 0 | not entailment |
(w>~((w|(b|~(l))))) | ~((~(~((s&w)))&~((s&~(w))))) | 1 | 0 | 0 | 0 | entailment |
((((l|q)|l)&(b>q))&s) | (b>(q|((a>w)|~(a)))) | 1 | 1 | 0 | 0 | entailment |
(w>~((w|(b|~(l))))) | (b>(q|((a>w)|~(a)))) | 0 | 1 | 0 | 0 | not entailment |
((((l|q)|l)&(b>q))&s) | ~((~(~((s&w)))&~((s&~(w))))) | 0 | 0 | 0 | 0 | not entailment |
(y|((l|y)&y)) | ((l|(y>y))&y) | 1 | 1 | 1 | 0 | entailment |
~((y|l)) | (~((y>l))>(l&(y>(l|y)))) | 1 | 0 | 1 | 0 | entailment |
(y|((l|y)&y)) | (~((y>l))>(l&(y>(l|y)))) | 0 | 0 | 1 | 0 | not entailment |
~((y|l)) | ((l|(y>y))&y) | 0 | 0 | 1 | 0 | not entailment |
(~((y&y))>(((y|y)>~(l))>y)) | ((~(((y>(y|l))&~((y&y))))|~(l))&(y|l)) | 1 | 0 | 1 | 0 | entailment |
((((l|l)>(y>l))>l)|~((l|(y&y)))) | ~(~((y>(l|l)))) | 1 | 1 | 1 | 1 | entailment |
(~((y&y))>(((y|y)>~(l))>y)) | ~(~((y>(l|l)))) | 0 | 1 | 1 | 0 | not entailment |
((((l|l)>(y>l))>l)|~((l|(y&y)))) | ((~(((y>(y|l))&~((y&y))))|~(l))&(y|l)) | 0 | 0 | 1 | 1 | not entailment |
(~(l)>(l&~(l))) | ~(~((~((l&l))>y))) | 1 | 0 | 0 | 0 | entailment |
~(((((l>(((y&y)|y)|(l>l)))|y)>(l>y))>y)) | ((y&y)>~((~(~((y&l)))|~(l)))) | 1 | 1 | 1 | 1 | entailment |
(~(l)>(l&~(l))) | ((y&y)>~((~(~((y&l)))|~(l)))) | 0 | 0 | 0 | 0 | not entailment |
~(((((l>(((y&y)|y)|(l>l)))|y)>(l>y))>y)) | ~(~((~((l&l))>y))) | 0 | 1 | 1 | 1 | not entailment |
((y>l)>(~(y)>y)) | (y&(y|(y>y))) | 1 | 1 | 1 | 0 | entailment |
((y>l)>(~(y)>y)) | (y>l) | 0 | 1 | 1 | 0 | not entailment |
~(y) | (y&(y|(y>y))) | 0 | 0 | 1 | 0 | not entailment |
((l|(y|(l|l)))&(l|~(~((l>(y|l)))))) | ~(~(~(((y|l)>~((y|l)))))) | 1 | 1 | 1 | 1 | entailment |
(l>~(y)) | ~((((y|(y>l))&(y>l))&(l&y))) | 1 | 0 | 1 | 0 | entailment |
((l|(y|(l|l)))&(l|~(~((l>(y|l)))))) | ~((((y|(y>l))&(y>l))&(l&y))) | 0 | 1 | 1 | 0 | not entailment |
(l>~(y)) | ~(~(~(((y|l)>~((y|l)))))) | 0 | 0 | 1 | 0 | not entailment |
(~(y)>(l&y)) | ((y|l)|(y|y)) | 1 | 1 | 1 | 1 | entailment |
~(((((l|~(l))|~((y>y)))>(~(y)|l))>l)) | (((y&y)&(l>~(l)))>l) | 1 | 1 | 1 | 1 | entailment |
(~(y)>(l&y)) | (((y&y)&(l>~(l)))>l) | 0 | 0 | 1 | 0 | not entailment |
~(((((l|~(l))|~((y>y)))>(~(y)|l))>l)) | ((y|l)|(y|y)) | 0 | 1 | 1 | 1 | not entailment |
(l&(((l>y)&y)|y)) | ((y|l)>l) | 1 | 1 | 1 | 0 | entailment |
~(~(~((((y>((y|l)|l))&y)>l)))) | ~(l) | 1 | 1 | 1 | 1 | entailment |
(l&(((l>y)&y)|y)) | ~(l) | 0 | 1 | 1 | 1 | not entailment |
~(~(~((((y>((y|l)|l))&y)>l)))) | ((y|l)>l) | 0 | 1 | 1 | 1 | not entailment |
~((l>(l>y))) | ((y>l)>l) | 1 | 1 | 1 | 0 | entailment |
~(l) | ~(l) | 1 | 1 | 1 | 1 | entailment |
~((l>(l>y))) | ~(l) | 0 | 1 | 1 | 0 | not entailment |
~(l) | ((y>l)>l) | 0 | 0 | 0 | 0 | not entailment |
((n|((v&n)&n))&((a&f)>(f>f))) | (((n|l)|(f|v))|n) | 1 | 1 | 0 | 0 | entailment |
(((~(s)|(a|l))>(l&(l>n)))&s) | ((v|r)|(f>(a>s))) | 1 | 1 | 0 | 0 | entailment |
((n|((v&n)&n))&((a&f)>(f>f))) | ((v|r)|(f>(a>s))) | 0 | 1 | 0 | 0 | not entailment |
(((~(s)|(a|l))>(l&(l>n)))&s) | (((n|l)|(f|v))|n) | 0 | 1 | 0 | 0 | not entailment |
((a&f)&(((v|n)>a)&n)) | ~((~((l|l))&~(n))) | 1 | 1 | 0 | 0 | entailment |
~((s>(n|r))) | ~((a&(~(~(r))&((f|n)|n)))) | 1 | 0 | 0 | 0 | entailment |
((a&f)&(((v|n)>a)&n)) | ~((a&(~(~(r))&((f|n)|n)))) | 0 | 0 | 0 | 0 | not entailment |
~((s>(n|r))) | ~((~((l|l))&~(n))) | 0 | 0 | 0 | 0 | not entailment |
(r&(l&(v>f))) | ((~((a&n))|(n>(l>r)))|~(v)) | 1 | 0 | 0 | 0 | entailment |
(((v>r)>a)&f) | (~(f)>(s>f)) | 1 | 1 | 0 | 0 | entailment |
(r&(l&(v>f))) | (~(f)>(s>f)) | 0 | 1 | 0 | 0 | not entailment |
(((v>r)>a)&f) | ((~((a&n))|(n>(l>r)))|~(v)) | 0 | 0 | 0 | 0 | not entailment |
((~(f)&s)&~((n|(r&(s&(n>v)))))) | (s|(a>(l>((n&n)&l)))) | 1 | 1 | 0 | 0 | entailment |
~(((n>n)>((~(v)&(l>f))|v))) | (~(((v&l)>~(a)))>~((n>s))) | 1 | 1 | 0 | 0 | entailment |
((~(f)&s)&~((n|(r&(s&(n>v)))))) | (~(((v&l)>~(a)))>~((n>s))) | 0 | 1 | 0 | 0 | not entailment |
~(((n>n)>((~(v)&(l>f))|v))) | (s|(a>(l>((n&n)&l)))) | 0 | 1 | 0 | 0 | not entailment |
((r&s)&(l&(~(f)|~(v)))) | (((~(l)>f)&l)|s) | 1 | 1 | 1 | 0 | entailment |
(r&~((l|(f|s)))) | (~((((~((l|a))>v)&((v>l)>v))|(f>v)))>n) | 1 | 0 | 0 | 0 | entailment |
((r&s)&(l&(~(f)|~(v)))) | (~((((~((l|a))>v)&((v>l)>v))|(f>v)))>n) | 0 | 0 | 0 | 0 | not entailment |
(r&~((l|(f|s)))) | (((~(l)>f)&l)|s) | 0 | 1 | 1 | 0 | not entailment |
(((s>((r>r)|~(a)))&a)&n) | (((((a|f)>(a|(f&r)))&~(l))>a)|(n|s)) | 1 | 0 | 0 | 0 | entailment |
~(~(~((f>n)))) | (f&~(~(f))) | 1 | 1 | 1 | 1 | entailment |
(((s>((r>r)|~(a)))&a)&n) | (f&~(~(f))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((f>n)))) | (((((a|f)>(a|(f&r)))&~(l))>a)|(n|s)) | 0 | 0 | 0 | 0 | not entailment |
((~(((n&s)&~(l)))&(n&l))&n) | ((~(n)&(s>f))|n) | 1 | 1 | 0 | 0 | entailment |
(~(~((a&l)))&(l>s)) | (~(v)|a) | 1 | 1 | 0 | 0 | entailment |
((~(((n&s)&~(l)))&(n&l))&n) | (~(v)|a) | 0 | 1 | 0 | 0 | not entailment |
(~(~((a&l)))&(l>s)) | ((~(n)&(s>f))|n) | 0 | 1 | 0 | 0 | not entailment |
~(((f>v)>((l&n)>s))) | (s>((f&(v|(f|s)))&(s|v))) | 1 | 0 | 1 | 0 | entailment |
(a&(s>(l|(r>v)))) | (((((r>l)|n)|(f>(f&s)))&f)>((l&l)>(r|a))) | 1 | 0 | 0 | 0 | entailment |
~(((f>v)>((l&n)>s))) | (((((r>l)|n)|(f>(f&s)))&f)>((l&l)>(r|a))) | 0 | 0 | 0 | 0 | not entailment |
(a&(s>(l|(r>v)))) | (s>((f&(v|(f|s)))&(s|v))) | 0 | 0 | 0 | 0 | not entailment |
~((~(n)|(((a>a)|(n|a))&(s|r)))) | ~((~((f|n))&v)) | 1 | 1 | 0 | 0 | entailment |
((r|((f&f)>v))&a) | (a|v) | 1 | 1 | 1 | 1 | entailment |
~((~(n)|(((a>a)|(n|a))&(s|r)))) | (a|v) | 0 | 1 | 0 | 0 | not entailment |
((r|((f&f)>v))&a) | ~((~((f|n))&v)) | 0 | 1 | 0 | 0 | not entailment |
((r&(f|(f>f)))|(r&l)) | ((~(r)&a)>~(((~(f)&a)&v))) | 1 | 0 | 0 | 0 | entailment |
~((~(s)>r)) | (((v&r)&((a|f)&(n|r)))>~(f)) | 1 | 0 | 0 | 0 | entailment |
((r&(f|(f>f)))|(r&l)) | (((v&r)&((a|f)&(n|r)))>~(f)) | 0 | 0 | 0 | 0 | not entailment |
~((~(s)>r)) | ((~(r)&a)>~(((~(f)&a)&v))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(a)>~(f))|s)) | (((((~(s)>f)&f)&n)>~(r))>(s>~((f>n)))) | 1 | 0 | 0 | 0 | entailment |
~((((s&n)|s)>(v|(v|f)))) | ((s&s)&(v|(l|s))) | 1 | 1 | 0 | 0 | entailment |
~(((~(a)>~(f))|s)) | ((s&s)&(v|(l|s))) | 0 | 1 | 0 | 0 | not entailment |
~((((s&n)|s)>(v|(v|f)))) | (((((~(s)>f)&f)&n)>~(r))>(s>~((f>n)))) | 0 | 0 | 0 | 0 | not entailment |
~(v) | ((v|(n&a))>n) | 1 | 0 | 0 | 0 | entailment |
(f&(((r>(l&s))&f)|s)) | (~(l)>(r>(s|l))) | 1 | 1 | 1 | 1 | entailment |
~(v) | (~(l)>(r>(s|l))) | 0 | 0 | 0 | 0 | not entailment |
(f&(((r>(l&s))&f)|s)) | ((v|(n&a))>n) | 0 | 1 | 0 | 0 | not entailment |
(l&l) | ((~(a)&s)|(n>l)) | 1 | 0 | 0 | 0 | entailment |
~((~(~((r>f)))>l)) | ~((l&s)) | 1 | 1 | 0 | 0 | entailment |
(l&l) | ~((l&s)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((r>f)))>l)) | ((~(a)&s)|(n>l)) | 0 | 1 | 0 | 0 | not entailment |
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