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 |
|---|---|---|---|---|---|---|
((h&u)&(((h>h)>((u>u)&u))>(u>h))) | (h>(~(((u&h)&h))&(((~(u)|u)|(h&u))&h))) | 0 | 0 | 1 | 1 | not entailment |
~(u) | (h>(((u>u)&u)&(h>u))) | 0 | 0 | 0 | 0 | not entailment |
((u|(h|u))&((h>(u|u))|(u|(u&h)))) | (u&u) | 1 | 1 | 1 | 1 | entailment |
(((u>u)>(~(u)>h))>~(~(~((u>u))))) | ~(h) | 1 | 1 | 1 | 1 | entailment |
((u|(h|u))&((h>(u|u))|(u|(u&h)))) | ~(h) | 0 | 1 | 1 | 1 | not entailment |
(((u>u)>(~(u)>h))>~(~(~((u>u))))) | (u&u) | 0 | 1 | 1 | 1 | not entailment |
(~(~(u))|(u&h)) | (~(u)>~(h)) | 1 | 1 | 1 | 0 | entailment |
(((u>(h|u))&(h|u))&~(~(h))) | (((u|u)&(~((u|h))>u))>h) | 1 | 1 | 1 | 0 | entailment |
(~(~(u))|(u&h)) | (((u|u)&(~((u|h))>u))>h) | 0 | 0 | 1 | 0 | not entailment |
(((u>(h|u))&(h|u))&~(~(h))) | (~(u)>~(h)) | 0 | 1 | 1 | 0 | not entailment |
(((u&h)&u)&(u&h)) | (u&((u&~(~(((h&u)|h))))&(u&u))) | 1 | 0 | 1 | 1 | entailment |
~(~(~((u|(h&h))))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
(((u&h)&u)&(u&h)) | ~(u) | 0 | 1 | 1 | 0 | not entailment |
~(~(~((u|(h&h))))) | (u&((u&~(~(((h&u)|h))))&(u&u))) | 0 | 0 | 1 | 0 | not entailment |
~((~(((((u>h)&u)|u)|(u&h)))&((u>u)|u))) | ((u>~(h))>(u|h)) | 1 | 1 | 1 | 1 | entailment |
~((u|u)) | ((~((u>h))|u)>h) | 1 | 0 | 0 | 0 | entailment |
~((~(((((u>h)&u)|u)|(u&h)))&((u>u)|u))) | ((~((u>h))|u)>h) | 0 | 1 | 1 | 1 | not entailment |
~((u|u)) | ((u>~(h))>(u|h)) | 0 | 0 | 0 | 0 | not entailment |
(~(n)&(g|n)) | (g&(~(n)>g)) | 1 | 1 | 1 | 1 | entailment |
~(~((n&(n>(n>~(g)))))) | (g>n) | 1 | 1 | 1 | 1 | entailment |
(~(n)&(g|n)) | (g>n) | 0 | 1 | 1 | 0 | not entailment |
~(~((n&(n>(n>~(g)))))) | (g&(~(n)>g)) | 0 | 1 | 1 | 0 | not entailment |
(g|~(n)) | ((n|n)>((g|g)|g)) | 1 | 0 | 1 | 1 | entailment |
(((n|n)>g)>n) | (g|n) | 1 | 1 | 1 | 0 | entailment |
(g|~(n)) | (g|n) | 0 | 1 | 1 | 0 | not entailment |
(((n|n)>g)>n) | ((n|n)>((g|g)|g)) | 0 | 0 | 1 | 0 | not entailment |
((g&n)&g) | ~(((n>(n>g))>~((n&n)))) | 1 | 0 | 1 | 0 | entailment |
(~(g)&n) | ((n|g)>~(g)) | 1 | 0 | 1 | 0 | entailment |
((g&n)&g) | ((n|g)>~(g)) | 0 | 0 | 1 | 0 | not entailment |
(~(g)&n) | ~(((n>(n>g))>~((n&n)))) | 0 | 0 | 1 | 0 | not entailment |
(g&(g|g)) | ~(~(~(~((g|(~(n)>g)))))) | 1 | 0 | 0 | 0 | entailment |
(((~(g)>~(~(n)))>n)&~(g)) | ~(~((g>(n|n)))) | 1 | 1 | 1 | 1 | entailment |
(g&(g|g)) | ~(~((g>(n|n)))) | 0 | 0 | 0 | 0 | not entailment |
(((~(g)>~(~(n)))>n)&~(g)) | ~(~(~(~((g|(~(n)>g)))))) | 0 | 1 | 1 | 0 | not entailment |
(((n>(n|n))&(~(n)>n))>~(((g|n)&n))) | (((g&g)&~((n>~(n))))|(n>g)) | 1 | 1 | 1 | 0 | entailment |
(g|(n|n)) | (g|n) | 1 | 1 | 1 | 1 | entailment |
(((n>(n|n))&(~(n)>n))>~(((g|n)&n))) | (g|n) | 0 | 1 | 1 | 0 | not entailment |
(g|(n|n)) | (((g&g)&~((n>~(n))))|(n>g)) | 0 | 0 | 1 | 0 | not entailment |
(n&g) | (((n|g)>g)|(~(~(~((g|(g&g)))))&(g&n))) | 1 | 0 | 1 | 0 | entailment |
(n&((g&g)>~(n))) | ~(((g&((g>g)|g))&g)) | 1 | 0 | 1 | 0 | entailment |
(n&g) | ~(((g&((g>g)|g))&g)) | 0 | 0 | 1 | 0 | not entailment |
(n&((g&g)>~(n))) | (((n|g)>g)|(~(~(~((g|(g&g)))))&(g&n))) | 0 | 0 | 1 | 0 | not entailment |
(~(~(g))>~(g)) | (~(((g|g)>n))>~(g)) | 1 | 0 | 0 | 0 | entailment |
((~((g>n))|((g>n)&~(n)))&(n|g)) | ~(~(~((g>n)))) | 1 | 1 | 1 | 1 | entailment |
(~(~(g))>~(g)) | ~(~(~((g>n)))) | 0 | 1 | 0 | 0 | not entailment |
((~((g>n))|((g>n)&~(n)))&(n|g)) | (~(((g|g)>n))>~(g)) | 0 | 1 | 1 | 1 | not entailment |
((z>s)>((s|((r>a)&z))&j)) | (~((j|z))>((z|~(u))|n)) | 1 | 1 | 0 | 0 | entailment |
~(((y&((z&r)>n))|r)) | ((r&~((s&u)))|~(((r&y)|r))) | 1 | 0 | 0 | 0 | entailment |
((z>s)>((s|((r>a)&z))&j)) | ((r&~((s&u)))|~(((r&y)|r))) | 0 | 0 | 0 | 0 | not entailment |
~(((y&((z&r)>n))|r)) | (~((j|z))>((z|~(u))|n)) | 0 | 0 | 0 | 0 | not entailment |
~(((~((r|(s>(z|z))))&j)>~(~(~(a))))) | ((~((~(~(u))>u))|(j&~(z)))>(u>s)) | 1 | 1 | 0 | 0 | entailment |
~((((y|a)|y)>(a&a))) | (y|n) | 1 | 1 | 0 | 0 | entailment |
~(((~((r|(s>(z|z))))&j)>~(~(~(a))))) | (y|n) | 0 | 1 | 0 | 0 | not entailment |
~((((y|a)|y)>(a&a))) | ((~((~(~(u))>u))|(j&~(z)))>(u>s)) | 0 | 0 | 0 | 0 | not entailment |
((z>a)>(a&~(~((y&z))))) | (~(~(((((n>~(r))&u)&n)|j)))|((r&z)|z)) | 1 | 0 | 0 | 0 | entailment |
(y>j) | (y>j) | 1 | 1 | 1 | 1 | entailment |
((z>a)>(a&~(~((y&z))))) | (y>j) | 0 | 1 | 0 | 0 | not entailment |
(y>j) | (~(~(((((n>~(r))&u)&n)|j)))|((r&z)|z)) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&j) | ((~((s&u))&~(r))|((~(a)|~(y))|(n&n))) | 1 | 0 | 0 | 0 | entailment |
((y&(~(~((y&y)))&z))&(((s|z)&z)|s)) | ((y&n)|(s>y)) | 1 | 1 | 0 | 0 | entailment |
(~(y)&j) | ((y&n)|(s>y)) | 0 | 0 | 0 | 0 | not entailment |
((y&(~(~((y&y)))&z))&(((s|z)&z)|s)) | ((~((s&u))&~(r))|((~(a)|~(y))|(n&n))) | 0 | 0 | 0 | 0 | not entailment |
~((~((y|r))|(((z|n)>z)|s))) | (~((r>(~(y)|(a&n))))|(z>n)) | 1 | 1 | 0 | 0 | entailment |
(~((u|~(r)))|r) | (((a&y)>a)>r) | 1 | 1 | 0 | 0 | entailment |
~((~((y|r))|(((z|n)>z)|s))) | (((a&y)>a)>r) | 0 | 1 | 0 | 0 | not entailment |
(~((u|~(r)))|r) | (~((r>(~(y)|(a&n))))|(z>n)) | 0 | 0 | 0 | 0 | not entailment |
(~((((z&z)&r)>((u|s)>(j|a))))&y) | (~(s)|~(j)) | 1 | 1 | 1 | 0 | entailment |
~(~(((j&s)|j))) | ((u|s)>j) | 1 | 1 | 0 | 0 | entailment |
(~((((z&z)&r)>((u|s)>(j|a))))&y) | ((u|s)>j) | 0 | 1 | 1 | 0 | not entailment |
~(~(((j&s)|j))) | (~(s)|~(j)) | 0 | 1 | 1 | 0 | not entailment |
(a&s) | (r>a) | 1 | 1 | 0 | 0 | entailment |
((s&r)&((u|(z>r))&((j&y)&n))) | (u|(~(((a|u)>(j>r)))|(u|n))) | 1 | 1 | 0 | 0 | entailment |
(a&s) | (u|(~(((a|u)>(j>r)))|(u|n))) | 0 | 0 | 0 | 0 | not entailment |
((s&r)&((u|(z>r))&((j&y)&n))) | (r>a) | 0 | 1 | 0 | 0 | not entailment |
((y>n)>y) | ((a|u)>((z|s)|y)) | 1 | 0 | 0 | 0 | entailment |
~(u) | ~(((u&(((s|a)&(~(j)&(a&n)))|a))&n)) | 1 | 0 | 0 | 0 | entailment |
((y>n)>y) | ~(((u&(((s|a)&(~(j)&(a&n)))|a))&n)) | 0 | 0 | 0 | 0 | not entailment |
~(u) | ((a|u)>((z|s)|y)) | 0 | 0 | 0 | 0 | not entailment |
((y&(n>u))&((n&((z>n)&z))>n)) | ~(~(y)) | 1 | 1 | 1 | 1 | entailment |
(z&s) | ((n>z)|~(((u|y)|((j>n)|j)))) | 1 | 0 | 0 | 0 | entailment |
((y&(n>u))&((n&((z>n)&z))>n)) | ((n>z)|~(((u|y)|((j>n)|j)))) | 0 | 1 | 0 | 0 | not entailment |
(z&s) | ~(~(y)) | 0 | 0 | 0 | 0 | not entailment |
~((s|((j&z)>~(u)))) | ~((~(n)&s)) | 1 | 1 | 0 | 0 | entailment |
((u>((r>u)&z))&(s|n)) | (s|((y&r)|(~(~((a>n)))|(a&r)))) | 1 | 0 | 0 | 0 | entailment |
~((s|((j&z)>~(u)))) | (s|((y&r)|(~(~((a>n)))|(a&r)))) | 0 | 0 | 0 | 0 | not entailment |
((u>((r>u)&z))&(s|n)) | ~((~(n)&s)) | 0 | 1 | 1 | 0 | not entailment |
(((r|(a|a))|n)&(j&~(((n>a)|(y|(z&r)))))) | ~(~((n|~(z)))) | 1 | 1 | 1 | 1 | entailment |
~((u|~(j))) | (~((s&s))>((u>a)&(j|r))) | 1 | 0 | 0 | 0 | entailment |
(((r|(a|a))|n)&(j&~(((n>a)|(y|(z&r)))))) | (~((s&s))>((u>a)&(j|r))) | 0 | 1 | 0 | 0 | not entailment |
~((u|~(j))) | ~(~((n|~(z)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(y))>(((s&(z&(u>s)))&u)>(n&z)))) | (((~(~((j|(u|u))))>(n>z))&r)|(u|(a>n))) | 1 | 1 | 0 | 0 | entailment |
~((~(~((a>((z&j)>(y|r)))))|u)) | (j>(z&a)) | 1 | 1 | 1 | 0 | entailment |
~((~(~(y))>(((s&(z&(u>s)))&u)>(n&z)))) | (j>(z&a)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((a>((z&j)>(y|r)))))|u)) | (((~(~((j|(u|u))))>(n>z))&r)|(u|(a>n))) | 0 | 0 | 0 | 0 | not entailment |
((((u>y)|n)|~(((z|u)|z)))>(s&(u&~(s)))) | (u|y) | 1 | 1 | 1 | 0 | entailment |
(j&(((z>r)|n)&r)) | (r&r) | 1 | 1 | 1 | 1 | entailment |
((((u>y)|n)|~(((z|u)|z)))>(s&(u&~(s)))) | (r&r) | 0 | 1 | 0 | 0 | not entailment |
(j&(((z>r)|n)&r)) | (u|y) | 0 | 1 | 0 | 0 | not entailment |
(z&(n&a)) | (((j|u)|(z&s))|a) | 1 | 0 | 0 | 0 | entailment |
(~(~(((j>n)|((s&a)|j))))&~(((y&j)|a))) | (a>(a>~((j>~(((z&y)&s)))))) | 1 | 1 | 0 | 0 | entailment |
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