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 |
|---|---|---|---|---|---|---|
~((((t&t)>(i|g))|i)) | ~((z&i)) | 1 | 1 | 0 | 0 | entailment |
((i>i)>i) | ~((z&i)) | 0 | 1 | 0 | 0 | not entailment |
~((((t&t)>(i|g))|i)) | (((g&z)&(z|~(t)))|((i|n)>i)) | 0 | 0 | 0 | 0 | not entailment |
~(((i|t)>~(~((n|(g>(i|i))))))) | (g&(~(i)>((n|t)&t))) | 1 | 1 | 1 | 0 | entailment |
(z&t) | ((((g>(t|~(n)))>n)>(i>(n&(g>g))))>(i|z)) | 1 | 0 | 0 | 0 | entailment |
~(((i|t)>~(~((n|(g>(i|i))))))) | ((((g>(t|~(n)))>n)>(i>(n&(g>g))))>(i|z)) | 0 | 0 | 0 | 0 | not entailment |
(z&t) | (g&(~(i)>((n|t)&t))) | 0 | 0 | 0 | 0 | not entailment |
(i&((t>n)>~((~(t)|((i>n)&(n|z)))))) | (~(t)>(z>g)) | 1 | 1 | 0 | 0 | entailment |
~(t) | ~((t|t)) | 1 | 0 | 1 | 1 | entailment |
(i&((t>n)>~((~(t)|((i>n)&(n|z)))))) | ~((t|t)) | 0 | 1 | 1 | 0 | not entailment |
~(t) | (~(t)>(z>g)) | 0 | 0 | 0 | 0 | not entailment |
~((((n|g)|i)&g)) | (n|~((~((g&(t>~((~((z&i))&g)))))&g))) | 1 | 0 | 0 | 0 | entailment |
(z&g) | ((z|n)&(t|((~(z)>z)&((g&z)|n)))) | 1 | 0 | 0 | 0 | entailment |
~((((n|g)|i)&g)) | ((z|n)&(t|((~(z)>z)&((g&z)|n)))) | 0 | 0 | 0 | 0 | not entailment |
(z&g) | (n|~((~((g&(t>~((~((z&i))&g)))))&g))) | 0 | 0 | 0 | 0 | not entailment |
(~(t)&(i|~(~((i&t))))) | (~(~(((t|(t&g))&(t|t))))>~((g>(i>g)))) | 1 | 0 | 0 | 0 | entailment |
(g|g) | (~(((z&n)&i))>(z>g)) | 1 | 0 | 0 | 0 | entailment |
(~(t)&(i|~(~((i&t))))) | (~(((z&n)&i))>(z>g)) | 0 | 1 | 0 | 0 | not entailment |
(g|g) | (~(~(((t|(t&g))&(t|t))))>~((g>(i>g)))) | 0 | 0 | 0 | 0 | not entailment |
~(((g&n)>z)) | ((((i>z)>(i&z))|(g|g))|i) | 1 | 0 | 0 | 0 | entailment |
(((n|t)&t)&(((z|z)&n)&(z&z))) | ((g&((t>t)|~(~((g>t)))))>z) | 1 | 1 | 0 | 0 | entailment |
~(((g&n)>z)) | ((g&((t>t)|~(~((g>t)))))>z) | 0 | 0 | 0 | 0 | not entailment |
(((n|t)&t)&(((z|z)&n)&(z&z))) | ((((i>z)>(i&z))|(g|g))|i) | 0 | 1 | 0 | 0 | not entailment |
~(~((i&((t>z)>t)))) | (((z>(t>((z>z)>(n>t))))&(g>i))>(z>t)) | 1 | 0 | 0 | 0 | entailment |
~(((n|g)>((g|g)&g))) | ~(~((n|~((t|z))))) | 1 | 1 | 0 | 0 | entailment |
~(~((i&((t>z)>t)))) | ~(~((n|~((t|z))))) | 0 | 1 | 0 | 0 | not entailment |
~(((n|g)>((g|g)&g))) | (((z>(t>((z>z)>(n>t))))&(g>i))>(z>t)) | 0 | 0 | 0 | 0 | not entailment |
~(~((((s|s)>(s&s))&(s&s)))) | (((s&(~((s>s))>s))>(s|(s|s)))&(~(s)>s)) | 1 | 0 | 1 | 1 | entailment |
~((s&s)) | ~(((s&s)&((s|s)>(s|s)))) | 1 | 0 | 1 | 0 | entailment |
~(~((((s|s)>(s&s))&(s&s)))) | ~(((s&s)&((s|s)>(s|s)))) | 0 | 1 | 1 | 1 | not entailment |
~((s&s)) | (((s&(~((s>s))>s))>(s|(s|s)))&(~(s)>s)) | 0 | 0 | 1 | 0 | not entailment |
(~(~(((s>s)>s)))&((s>~(s))|s)) | ((s|(s>((s|s)>s)))&s) | 1 | 1 | 1 | 1 | entailment |
~(s) | ~((s&((s>((s>~(s))|s))&(s&s)))) | 1 | 0 | 1 | 0 | entailment |
(~(~(((s>s)>s)))&((s>~(s))|s)) | ~((s&((s>((s>~(s))|s))&(s&s)))) | 0 | 1 | 1 | 1 | not entailment |
~(s) | ((s|(s>((s|s)>s)))&s) | 0 | 0 | 1 | 0 | not entailment |
((s|s)|~(~(((s>s)>s)))) | ((~((s|s))>(s>s))&(s&s)) | 1 | 1 | 1 | 1 | entailment |
~(s) | (((s>s)|(s&s))>~((s&s))) | 1 | 0 | 1 | 0 | entailment |
((s|s)|~(~(((s>s)>s)))) | (((s>s)|(s&s))>~((s&s))) | 0 | 1 | 1 | 1 | not entailment |
~(s) | ((~((s|s))>(s>s))&(s&s)) | 0 | 0 | 1 | 0 | not entailment |
(s|(s|s)) | (s&s) | 1 | 1 | 1 | 1 | entailment |
~((((s&(s>s))&(s&s))|(s|s))) | ~(s) | 1 | 1 | 1 | 1 | entailment |
(s|(s|s)) | ~(s) | 0 | 1 | 1 | 0 | not entailment |
~((((s&(s>s))&(s&s))|(s|s))) | (s&s) | 0 | 1 | 1 | 1 | not entailment |
~(~((((s>((s&s)&(s|(s|s))))&s)|s))) | (s&(s&(s>s))) | 1 | 1 | 1 | 1 | entailment |
(((s&s)&(((s>s)&s)>s))>(s&(s&(s>~(s))))) | ~(s) | 1 | 1 | 1 | 1 | entailment |
~(~((((s>((s&s)&(s|(s|s))))&s)|s))) | ~(s) | 0 | 1 | 1 | 1 | not entailment |
(((s&s)&(((s>s)&s)>s))>(s&(s&(s>~(s))))) | (s&(s&(s>s))) | 0 | 1 | 1 | 1 | not entailment |
~((~(s)>~((s>(s&~(s)))))) | ~(((s|s)|s)) | 1 | 1 | 1 | 1 | entailment |
((s|(s&s))&s) | (((s&((s&s)|s))|s)&s) | 1 | 0 | 1 | 1 | entailment |
~((~(s)>~((s>(s&~(s)))))) | (((s&((s&s)|s))|s)&s) | 0 | 1 | 1 | 1 | not entailment |
((s|(s&s))&s) | ~(((s|s)|s)) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(s))) | ((s&s)>~((~(s)|~(~(((s&s)|~(s))))))) | 1 | 0 | 1 | 0 | entailment |
(s|s) | ((s&s)&s) | 1 | 0 | 1 | 1 | entailment |
~(~(~(s))) | ((s&s)&s) | 0 | 1 | 1 | 0 | not entailment |
(s|s) | ((s&s)>~((~(s)|~(~(((s&s)|~(s))))))) | 0 | 0 | 1 | 0 | not entailment |
((((e|c)>c)&e)&(((j&j)>e)>l)) | (((e>l)&(e|~(c)))|(l&e)) | 1 | 1 | 1 | 1 | entailment |
((~(c)&e)&(l>~(~(l)))) | (j>~((j&c))) | 1 | 1 | 0 | 0 | entailment |
((((e|c)>c)&e)&(((j&j)>e)>l)) | (j>~((j&c))) | 0 | 1 | 1 | 0 | not entailment |
((~(c)&e)&(l>~(~(l)))) | (((e>l)&(e|~(c)))|(l&e)) | 0 | 1 | 1 | 0 | not entailment |
(j|~((~(l)|(c>l)))) | (~(e)>(((j>~((((l|l)&j)>(j|j))))&c)>j)) | 1 | 0 | 0 | 0 | entailment |
((e>(e&(l|j)))&c) | ~(~((((c|e)&c)|(((l>c)|e)&l)))) | 1 | 0 | 1 | 0 | entailment |
(j|~((~(l)|(c>l)))) | ~(~((((c|e)&c)|(((l>c)|e)&l)))) | 0 | 0 | 0 | 0 | not entailment |
((e>(e&(l|j)))&c) | (~(e)>(((j>~((((l|l)&j)>(j|j))))&c)>j)) | 0 | 0 | 1 | 0 | not entailment |
((j&((c|c)>l))&(l&(j&~((~(j)|e))))) | (((l>c)|~(e))|j) | 1 | 1 | 1 | 0 | entailment |
((e|(j>(j>c)))|(~(j)&~((j|(e&j))))) | ((j&j)>(e|c)) | 1 | 1 | 1 | 1 | entailment |
((j&((c|c)>l))&(l&(j&~((~(j)|e))))) | ((j&j)>(e|c)) | 0 | 1 | 1 | 0 | not entailment |
((e|(j>(j>c)))|(~(j)&~((j|(e&j))))) | (((l>c)|~(e))|j) | 0 | 1 | 0 | 0 | not entailment |
((((l|(e&c))>(((c&j)>j)&c))&j)&l) | (l>c) | 1 | 1 | 1 | 1 | entailment |
((~(c)|j)&(e&~(j))) | (c>~(((e&j)&((j|l)>((c|(j&c))>j))))) | 1 | 0 | 0 | 0 | entailment |
((((l|(e&c))>(((c&j)>j)&c))&j)&l) | (c>~(((e&j)&((j|l)>((c|(j&c))>j))))) | 0 | 0 | 1 | 1 | not entailment |
((~(c)|j)&(e&~(j))) | (l>c) | 0 | 1 | 0 | 0 | not entailment |
~(((c&c)>j)) | ~((((~((l&(c>l)))|l)>l)&(j&e))) | 1 | 0 | 0 | 0 | entailment |
(c&((j|e)&l)) | ((j|(l|e))|(c>((l|e)&(c&l)))) | 1 | 0 | 1 | 0 | entailment |
~(((c&c)>j)) | ((j|(l|e))|(c>((l|e)&(c&l)))) | 0 | 0 | 0 | 0 | not entailment |
(c&((j|e)&l)) | ~((((~((l&(c>l)))|l)>l)&(j&e))) | 0 | 0 | 1 | 0 | not entailment |
((c>(e|(j&l)))&(e&(j>(j&~(c))))) | (e|(((e>c)>l)>(((c|j)|c)|c))) | 1 | 1 | 1 | 0 | entailment |
~((~(j)>e)) | (((c|(((e>e)>l)&(e|c)))&e)>c) | 1 | 0 | 0 | 0 | entailment |
((c>(e|(j&l)))&(e&(j>(j&~(c))))) | (((c|(((e>e)>l)&(e|c)))&e)>c) | 0 | 1 | 1 | 0 | not entailment |
~((~(j)>e)) | (e|(((e>c)>l)>(((c|j)|c)|c))) | 0 | 0 | 0 | 0 | not entailment |
((c>c)&(e&e)) | ((e|~(c))|j) | 1 | 1 | 0 | 0 | entailment |
(j|l) | (((e>l)|(e>c))|(e&j)) | 1 | 0 | 0 | 0 | entailment |
((c>c)&(e&e)) | (((e>l)|(e>c))|(e&j)) | 0 | 0 | 0 | 0 | not entailment |
(j|l) | ((e|~(c))|j) | 0 | 0 | 0 | 0 | not entailment |
((~((j|((c>c)&(l>e))))&l)&(e|l)) | (c>(((j&(~((c|j))>c))>e)|l)) | 1 | 1 | 1 | 1 | entailment |
~(((j>l)|~(((~(j)>j)|e)))) | (((c&e)&j)|((j|(c>e))&(j|l))) | 1 | 1 | 0 | 0 | entailment |
((~((j|((c>c)&(l>e))))&l)&(e|l)) | (((c&e)&j)|((j|(c>e))&(j|l))) | 0 | 1 | 1 | 0 | not entailment |
~(((j>l)|~(((~(j)>j)|e)))) | (c>(((j&(~((c|j))>c))>e)|l)) | 0 | 1 | 0 | 0 | not entailment |
(~((c|c))&~((c&(l>c)))) | ((l|c)>l) | 1 | 1 | 1 | 0 | entailment |
((c&((l|c)|(~(c)>e)))|~((j|~(l)))) | (((l&((j&j)&l))|(l|c))&(e>e)) | 1 | 1 | 1 | 0 | entailment |
(~((c|c))&~((c&(l>c)))) | (((l&((j&j)&l))|(l|c))&(e>e)) | 0 | 0 | 0 | 0 | not entailment |
((c&((l|c)|(~(c)>e)))|~((j|~(l)))) | ((l|c)>l) | 0 | 1 | 1 | 0 | not entailment |
((e&c)&(e|(l>(j>l)))) | (c|e) | 1 | 1 | 1 | 1 | entailment |
~(~((l|l))) | (j|l) | 1 | 1 | 0 | 0 | entailment |
((e&c)&(e|(l>(j>l)))) | (j|l) | 0 | 1 | 1 | 0 | not entailment |
~(~((l|l))) | (c|e) | 0 | 1 | 0 | 0 | not entailment |
((c&l)&e) | ((~((~(~(l))&c))|((~(l)&j)&j))>j) | 1 | 0 | 0 | 0 | entailment |
((~(~(l))|(c|c))>~(e)) | ~((e&c)) | 1 | 1 | 1 | 1 | entailment |
((c&l)&e) | ~((e&c)) | 0 | 1 | 1 | 0 | not entailment |
((~(~(l))|(c|c))>~(e)) | ((~((~(~(l))&c))|((~(l)&j)&j))>j) | 0 | 0 | 0 | 0 | not entailment |
(j&c) | ((j>j)&(c|((~((c|j))&(j>(c|c)))|~(j)))) | 1 | 0 | 1 | 0 | entailment |
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