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&~(~((~(~((d>e)))>d)))) | (j>b) | 0 | 1 | 0 | 0 | not entailment |
~(((e>e)>j)) | (((j>n)&(~(b)|e))>(x>((u&e)|(d>n)))) | 0 | 0 | 0 | 0 | not entailment |
(g&e) | (e|(g&b)) | 1 | 0 | 0 | 0 | entailment |
~((~(~(n))|(u|d))) | (((x&g)&x)>(u>(u&~((g|n))))) | 1 | 0 | 0 | 0 | entailment |
(g&e) | (((x&g)&x)>(u>(u&~((g|n))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(n))|(u|d))) | (e|(g&b)) | 0 | 1 | 0 | 0 | not entailment |
(b&e) | ((((j|((b|e)&~(g)))>((n>j)&u))>(n>j))>b) | 1 | 0 | 0 | 0 | entailment |
((u&(g&d))&(e>j)) | (g&(g>(u>d))) | 1 | 1 | 1 | 0 | entailment |
(b&e) | (g&(g>(u>d))) | 0 | 0 | 0 | 0 | not entailment |
((u&(g&d))&(e>j)) | ((((j|((b|e)&~(g)))>((n>j)&u))>(n>j))>b) | 0 | 0 | 0 | 0 | not entailment |
~(((d&u)>(n|g))) | ((u|(x>e))|(d>u)) | 1 | 1 | 0 | 0 | entailment |
~(u) | ((~(n)|(e|e))>(u>(b>x))) | 1 | 0 | 0 | 0 | entailment |
~(((d&u)>(n|g))) | ((~(n)|(e|e))>(u>(b>x))) | 0 | 0 | 0 | 0 | not entailment |
~(u) | ((u|(x>e))|(d>u)) | 0 | 0 | 0 | 0 | not entailment |
((u&(g|b))&(~(g)&(j&x))) | ~((g&(e>e))) | 1 | 1 | 0 | 0 | entailment |
((~((e|d))>(e&n))&b) | (~(e)>d) | 1 | 1 | 1 | 1 | entailment |
((u&(g|b))&(~(g)&(j&x))) | (~(e)>d) | 0 | 1 | 0 | 0 | not entailment |
((~((e|d))>(e&n))&b) | ~((g&(e>e))) | 0 | 1 | 0 | 0 | not entailment |
(~(((d|u)|(j|x)))&n) | ~(~((((n&g)&(g&(~(u)>u)))>(~(u)&b)))) | 1 | 0 | 0 | 0 | entailment |
(d|(u&n)) | ((u|d)|((b>u)&(e&(e|g)))) | 1 | 0 | 0 | 0 | entailment |
(~(((d|u)|(j|x)))&n) | ((u|d)|((b>u)&(e&(e|g)))) | 0 | 0 | 0 | 0 | not entailment |
(d|(u&n)) | ~(~((((n&g)&(g&(~(u)>u)))>(~(u)&b)))) | 0 | 0 | 0 | 0 | not entailment |
(e>(b&b)) | ((e>b)|n) | 1 | 1 | 0 | 0 | entailment |
~(~(x)) | (((n&u)>(((u&x)&u)>~((n>n))))>x) | 1 | 0 | 0 | 0 | entailment |
(e>(b&b)) | (((n&u)>(((u&x)&u)>~((n>n))))>x) | 0 | 0 | 0 | 0 | not entailment |
~(~(x)) | ((e>b)|n) | 0 | 1 | 0 | 0 | not entailment |
~(((b>u)|(j&u))) | ((e|~(((~(d)&n)&e)))>(b&b)) | 1 | 0 | 0 | 0 | entailment |
(d&e) | (x>d) | 1 | 1 | 0 | 0 | entailment |
~(((b>u)|(j&u))) | (x>d) | 0 | 1 | 0 | 0 | not entailment |
(d&e) | ((e|~(((~(d)&n)&e)))>(b&b)) | 0 | 0 | 0 | 0 | not entailment |
(((b&n)&(j&b))&((g>(b|(n>e)))|j)) | ((u|~(j))>((e&x)|j)) | 1 | 1 | 0 | 0 | entailment |
(b&d) | ~(~(d)) | 1 | 0 | 1 | 1 | entailment |
(((b&n)&(j&b))&((g>(b|(n>e)))|j)) | ~(~(d)) | 0 | 1 | 0 | 0 | not entailment |
(b&d) | ((u|~(j))>((e&x)|j)) | 0 | 0 | 0 | 0 | not entailment |
(~(e)&~(~(~(q)))) | ((~(~((~((e|l))&(q|q))))|l)>l) | 1 | 0 | 0 | 0 | entailment |
~(l) | ((~(~((~((e|l))&(q|q))))|l)>l) | 0 | 0 | 0 | 0 | not entailment |
(~(e)&~(~(~(q)))) | (l>c) | 0 | 1 | 0 | 0 | not entailment |
~(((~(~(l))|~(~(l)))>~(u))) | (((i>~(u))|q)>(u|c)) | 1 | 1 | 0 | 0 | entailment |
~(~(((~((q>i))&(f>f))|~((u>(f>u)))))) | ~((~(~(((e&(i&u))&u)))&f)) | 1 | 1 | 0 | 0 | entailment |
~(((~(~(l))|~(~(l)))>~(u))) | ~((~(~(((e&(i&u))&u)))&f)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~((q>i))&(f>f))|~((u>(f>u)))))) | (((i>~(u))|q)>(u|c)) | 0 | 1 | 0 | 0 | not entailment |
(((i|i)|~((l>(i&~(c)))))>~(((q&l)>e))) | ((f>(c&~(i)))>((e&l)>((c>u)>u))) | 1 | 1 | 0 | 0 | entailment |
(~(((q&c)>q))|(i&(l>l))) | ((~((q>c))>~(l))>i) | 1 | 1 | 1 | 0 | entailment |
(((i|i)|~((l>(i&~(c)))))>~(((q&l)>e))) | ((~((q>c))>~(l))>i) | 0 | 1 | 1 | 1 | not entailment |
(~(((q&c)>q))|(i&(l>l))) | ((f>(c&~(i)))>((e&l)>((c>u)>u))) | 0 | 0 | 0 | 0 | not entailment |
(u&(((i|f)&((i|l)|i))>~(l))) | (q>(f>((e|i)|u))) | 1 | 1 | 0 | 0 | entailment |
~(((i|(i&((~(f)>(~(f)|c))>e)))|l)) | ~(i) | 1 | 1 | 1 | 1 | entailment |
(u&(((i|f)&((i|l)|i))>~(l))) | ~(i) | 0 | 1 | 1 | 1 | not entailment |
~(((i|(i&((~(f)>(~(f)|c))>e)))|l)) | (q>(f>((e|i)|u))) | 0 | 1 | 0 | 0 | not entailment |
(~(((f|q)|u))&(~(~(c))|q)) | (c|((f|u)>q)) | 1 | 1 | 1 | 1 | entailment |
(f&(~(e)>q)) | (~((~((c&l))|(u|f)))>~((l|(f&u)))) | 1 | 0 | 0 | 0 | entailment |
(~(((f|q)|u))&(~(~(c))|q)) | (~((~((c&l))|(u|f)))>~((l|(f&u)))) | 0 | 0 | 0 | 0 | not entailment |
(f&(~(e)>q)) | (c|((f|u)>q)) | 0 | 1 | 0 | 0 | not entailment |
(~((l|(~(e)|(q&u))))&(l|c)) | ((~(c)&~(u))|((i>((((f>e)|u)&f)>q))|e)) | 1 | 0 | 0 | 0 | entailment |
((c>(~(f)&i))&(u|i)) | ((u&l)|((f|(u|i))|u)) | 1 | 1 | 0 | 0 | entailment |
(~((l|(~(e)|(q&u))))&(l|c)) | ((u&l)|((f|(u|i))|u)) | 0 | 1 | 0 | 0 | not entailment |
((c>(~(f)&i))&(u|i)) | ((~(c)&~(u))|((i>((((f>e)|u)&f)>q))|e)) | 0 | 0 | 0 | 0 | not entailment |
~((u>~(q))) | (q|e) | 1 | 1 | 0 | 0 | entailment |
(c&((u&l)|u)) | (c|((e|~(~(e)))>c)) | 1 | 0 | 0 | 0 | entailment |
~((u>~(q))) | (c|((e|~(~(e)))>c)) | 0 | 0 | 0 | 0 | not entailment |
(c&((u&l)|u)) | (q|e) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((i&(f|(c>(u|f))))))) | ((i>(u&c))|((f|(e&u))>q)) | 1 | 1 | 0 | 0 | entailment |
((~(c)|~(c))>~((i>f))) | (~(~((i|(c&c))))|(u>f)) | 1 | 1 | 0 | 0 | entailment |
~(~(~((i&(f|(c>(u|f))))))) | (~(~((i|(c&c))))|(u>f)) | 0 | 1 | 1 | 0 | not entailment |
((~(c)|~(c))>~((i>f))) | ((i>(u&c))|((f|(e&u))>q)) | 0 | 1 | 0 | 0 | not entailment |
((~(i)>(((i>(i>(q>l)))>~((c|c)))>c))&l) | (~(q)>(f>l)) | 1 | 1 | 0 | 0 | entailment |
(c&f) | (f|~(u)) | 1 | 0 | 0 | 0 | entailment |
((~(i)>(((i>(i>(q>l)))>~((c|c)))>c))&l) | (f|~(u)) | 0 | 1 | 0 | 0 | not entailment |
(c&f) | (~(q)>(f>l)) | 0 | 0 | 0 | 0 | not entailment |
((~((f>e))&q)&~(u)) | ((u|f)>f) | 1 | 1 | 1 | 0 | entailment |
((u&c)&e) | (c|(~(~(~(f)))&c)) | 1 | 0 | 0 | 0 | entailment |
((~((f>e))&q)&~(u)) | (c|(~(~(~(f)))&c)) | 0 | 1 | 0 | 0 | not entailment |
((u&c)&e) | ((u|f)>f) | 0 | 1 | 0 | 0 | not entailment |
~((u|(u|~(q)))) | ((u>f)|((((c>c)|i)>(e&(i|l)))&(q|l))) | 1 | 0 | 0 | 0 | entailment |
((((l&l)>(i|~((q|q))))>~(u))>(c>i)) | (~(((e>u)|~(((u|q)&c))))>i) | 1 | 1 | 0 | 0 | entailment |
~((u|(u|~(q)))) | (~(((e>u)|~(((u|q)&c))))>i) | 0 | 0 | 0 | 0 | not entailment |
((((l&l)>(i|~((q|q))))>~(u))>(c>i)) | ((u>f)|((((c>c)|i)>(e&(i|l)))&(q|l))) | 0 | 1 | 0 | 0 | not entailment |
(f&u) | ((f|q)>((~(u)&i)>~((q|l)))) | 1 | 0 | 0 | 0 | entailment |
~((~((l&i))|~((c|c)))) | ((l&i)|(e|(q|(c>q)))) | 1 | 1 | 0 | 0 | entailment |
(f&u) | ((l&i)|(e|(q|(c>q)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((l&i))|~((c|c)))) | ((f|q)>((~(u)&i)>~((q|l)))) | 0 | 0 | 0 | 0 | not entailment |
~((u|((~(((l|q)&c))&~(f))>(q|(i&f))))) | ~(((q&((l&q)|l))&~(((i|c)>(u|c))))) | 1 | 1 | 1 | 0 | entailment |
(l&~(~((e>u)))) | ((((e>l)|f)|i)|(c&((q>(~(i)|u))>i))) | 1 | 0 | 0 | 0 | entailment |
~((u|((~(((l|q)&c))&~(f))>(q|(i&f))))) | ((((e>l)|f)|i)|(c&((q>(~(i)|u))>i))) | 0 | 1 | 0 | 0 | not entailment |
(l&~(~((e>u)))) | ~(((q&((l&q)|l))&~(((i|c)>(u|c))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((((f>(q>c))&f)&~(q)))) | (((c|~((f&f)))>i)>f) | 1 | 1 | 0 | 0 | entailment |
((e|~(((f>u)>e)))&((u|u)&(c&q))) | ((((e>c)&q)&(q|(u&e)))|e) | 1 | 1 | 1 | 1 | entailment |
~(~((((f>(q>c))&f)&~(q)))) | ((((e>c)&q)&(q|(u&e)))|e) | 0 | 1 | 0 | 0 | not entailment |
((e|~(((f>u)>e)))&((u|u)&(c&q))) | (((c|~((f&f)))>i)>f) | 0 | 1 | 0 | 0 | not entailment |
(u&u) | (((f&~(e))|u)>(q>u)) | 1 | 0 | 0 | 0 | entailment |
((~(l)>l)&((c>f)|l)) | (l|((l>(u|f))>(i|(i|q)))) | 1 | 0 | 0 | 0 | entailment |
(u&u) | (l|((l>(u|f))>(i|(i|q)))) | 0 | 0 | 0 | 0 | not entailment |
((~(l)>l)&((c>f)|l)) | (((f&~(e))|u)>(q>u)) | 0 | 1 | 0 | 0 | not entailment |
(i&((f&q)&h)) | ((j|(o&o))>(h|j)) | 1 | 0 | 0 | 0 | entailment |
(o&(f&((a>v)|f))) | ~((~(o)&a)) | 1 | 1 | 1 | 1 | entailment |
(i&((f&q)&h)) | ~((~(o)&a)) | 0 | 1 | 0 | 0 | not entailment |
(o&(f&((a>v)|f))) | ((j|(o&o))>(h|j)) | 0 | 1 | 0 | 0 | not entailment |
(~(a)|f) | (f|~(((f>h)>(~((a&i))&a)))) | 1 | 0 | 0 | 0 | entailment |
((((v|j)>q)|(f|q))&(h&~(v))) | (((o>o)|~(j))>h) | 1 | 1 | 0 | 0 | entailment |
(~(a)|f) | (((o>o)|~(j))>h) | 0 | 0 | 0 | 0 | not entailment |
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