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