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&~(h))|(u>y))) | (u>(y>p)) | 1 | 1 | 0 | 0 | entailment |
~(a) | ~(((((k|f)&~(k))|n)&a)) | 1 | 0 | 0 | 0 | entailment |
~(((h&~(h))|(u>y))) | ~(((((k|f)&~(k))|n)&a)) | 0 | 0 | 0 | 0 | not entailment |
~(a) | (u>(y>p)) | 0 | 0 | 0 | 0 | not entailment |
~((((f&u)&r)>~((y&u)))) | (f&(f&f)) | 1 | 1 | 1 | 1 | entailment |
((u>(k>p))>k) | ((~(~(h))|(o&o))|k) | 1 | 0 | 0 | 0 | entailment |
~((((f&u)&r)>~((y&u)))) | ((~(~(h))|(o&o))|k) | 0 | 1 | 0 | 0 | not entailment |
((u>(k>p))>k) | (f&(f&f)) | 0 | 1 | 0 | 0 | not entailment |
~((f&(~(~(((o|p)|~((h&p)))))|(h&o)))) | (~(((f&y)|u))|~(~(~(~((k|u)))))) | 1 | 1 | 0 | 0 | entailment |
((a|~((u>a)))>p) | (p|(~(((f&y)>f))|~(~((a>(r|f)))))) | 1 | 0 | 0 | 0 | entailment |
~((f&(~(~(((o|p)|~((h&p)))))|(h&o)))) | (p|(~(((f&y)>f))|~(~((a>(r|f)))))) | 0 | 1 | 0 | 0 | not entailment |
((a|~((u>a)))>p) | (~(((f&y)|u))|~(~(~(~((k|u)))))) | 0 | 0 | 0 | 0 | not entailment |
~((r>(u>o))) | (u>r) | 1 | 1 | 1 | 0 | entailment |
(h&(y>((h|n)&a))) | (h|k) | 1 | 1 | 0 | 0 | entailment |
~((r>(u>o))) | (h|k) | 0 | 1 | 0 | 0 | not entailment |
(h&(y>((h|n)&a))) | (u>r) | 0 | 1 | 0 | 0 | not entailment |
(u&a) | ((f|(r&f))>((u|~(~(y)))|k)) | 1 | 0 | 0 | 0 | entailment |
~(((p&h)|(h|((n|n)&f)))) | ((h>(k&o))|o) | 1 | 1 | 0 | 0 | entailment |
(u&a) | ((h>(k&o))|o) | 0 | 0 | 0 | 0 | not entailment |
~(((p&h)|(h|((n|n)&f)))) | ((f|(r&f))>((u|~(~(y)))|k)) | 0 | 0 | 0 | 0 | not entailment |
~((~(o)>((~(f)>(u>h))|o))) | (u|~((o|((p|(o&r))>f)))) | 1 | 1 | 0 | 0 | entailment |
((n|a)&(~(((f>(a>n))|u))&((o&a)>~(k)))) | (f|~((p|(y&n)))) | 1 | 1 | 0 | 0 | entailment |
~((~(o)>((~(f)>(u>h))|o))) | (f|~((p|(y&n)))) | 0 | 1 | 0 | 0 | not entailment |
((n|a)&(~(((f>(a>n))|u))&((o&a)>~(k)))) | (u|~((o|((p|(o&r))>f)))) | 0 | 1 | 0 | 0 | not entailment |
(a&(n>r)) | (~(r)>a) | 1 | 1 | 1 | 1 | entailment |
(~((f>(h>k)))&((a|o)&(a|(n|f)))) | (h|f) | 1 | 1 | 1 | 1 | entailment |
(a&(n>r)) | (h|f) | 0 | 1 | 0 | 0 | not entailment |
(~((f>(h>k)))&((a|o)&(a|(n|f)))) | (~(r)>a) | 0 | 1 | 0 | 0 | not entailment |
((n&u)|n) | (~(((a&k)|y))|n) | 1 | 0 | 0 | 0 | entailment |
(~(~((p&k)))&(a&(a>(n>~(o))))) | (~((((r|h)&o)|p))>(o>((h|r)&(~(a)|o)))) | 1 | 0 | 0 | 0 | entailment |
((n&u)|n) | (~((((r|h)&o)|p))>(o>((h|r)&(~(a)|o)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((p&k)))&(a&(a>(n>~(o))))) | (~(((a&k)|y))|n) | 0 | 1 | 0 | 0 | not entailment |
(~(f)>~(u)) | ((f&f)|(~(p)|((u>k)|(r|a)))) | 1 | 0 | 0 | 0 | entailment |
(~(h)&((y>r)>(u&y))) | ((h|y)&(y|h)) | 1 | 1 | 1 | 0 | entailment |
(~(f)>~(u)) | ((h|y)&(y|h)) | 0 | 1 | 0 | 0 | not entailment |
(~(h)&((y>r)>(u&y))) | ((f&f)|(~(p)|((u>k)|(r|a)))) | 0 | 0 | 0 | 0 | not entailment |
((~(f)&((k&h)&k))&(p|u)) | ((((h|y)&(y|k))&((r>p)|(p>u)))&((f>y)|n)) | 1 | 0 | 0 | 0 | entailment |
~(~(((r>h)>(f&k)))) | ((k&f)|(((o&r)|k)>r)) | 1 | 1 | 0 | 0 | entailment |
((~(f)&((k&h)&k))&(p|u)) | ((k&f)|(((o&r)|k)>r)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((r>h)>(f&k)))) | ((((h|y)&(y|k))&((r>p)|(p>u)))&((f>y)|n)) | 0 | 0 | 0 | 0 | not entailment |
(((p>n)|~(r))>k) | ((r&~((u&u)))|(k|~((n&p)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((p&f)&(k>(a>h))))) | (r|p) | 1 | 1 | 0 | 0 | entailment |
(((p>n)|~(r))>k) | (r|p) | 0 | 1 | 1 | 1 | not entailment |
~(~(((p&f)&(k>(a>h))))) | ((r&~((u&u)))|(k|~((n&p)))) | 0 | 0 | 0 | 0 | not entailment |
(((k|a)&h)&~(~(((n&(r>(k&u)))&r)))) | ((f>k)|~(((f>p)>((p|f)>(h|n))))) | 1 | 1 | 0 | 0 | entailment |
~((n|(o>~((h>n))))) | ((o|r)&((r&~(o))>(u>a))) | 1 | 0 | 0 | 0 | entailment |
(((k|a)&h)&~(~(((n&(r>(k&u)))&r)))) | ((o|r)&((r&~(o))>(u>a))) | 0 | 1 | 0 | 0 | not entailment |
~((n|(o>~((h>n))))) | ((f>k)|~(((f>p)>((p|f)>(h|n))))) | 0 | 0 | 0 | 0 | not entailment |
((~((p>(n|k)))&f)&h) | ((a|h)|(k>~(k))) | 1 | 1 | 0 | 0 | entailment |
~(~((p&((u&(n|(p|a)))&n)))) | (a>~((n>~(p)))) | 1 | 1 | 1 | 0 | entailment |
((~((p>(n|k)))&f)&h) | (a>~((n>~(p)))) | 0 | 1 | 0 | 0 | not entailment |
~(~((p&((u&(n|(p|a)))&n)))) | ((a|h)|(k>~(k))) | 0 | 1 | 0 | 0 | not entailment |
(~((n|(o|o)))&k) | ((k>k)&((n&o)>a)) | 1 | 1 | 0 | 0 | entailment |
(((h&o)|y)&(o&u)) | (a|(u|a)) | 1 | 1 | 0 | 0 | entailment |
(~((n|(o|o)))&k) | (a|(u|a)) | 0 | 1 | 0 | 0 | not entailment |
(((h&o)|y)&(o&u)) | ((k>k)&((n&o)>a)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((o>~((n&y)))&(y&p)))) | (((~(o)|p)|(o>r))|~(o)) | 1 | 1 | 0 | 0 | entailment |
((o&y)&((y>h)&~((a|r)))) | ((k&(o|h))|~(k)) | 1 | 1 | 0 | 0 | entailment |
~(~(((o>~((n&y)))&(y&p)))) | ((k&(o|h))|~(k)) | 0 | 1 | 0 | 0 | not entailment |
((o&y)&((y>h)&~((a|r)))) | (((~(o)|p)|(o>r))|~(o)) | 0 | 1 | 0 | 0 | not entailment |
(((n>r)>k)&p) | ((f|((n>f)|(o&h)))|(~((p|y))>o)) | 1 | 0 | 0 | 0 | entailment |
~((~(o)>(y|a))) | (~(~((k&o)))>h) | 1 | 1 | 0 | 0 | entailment |
(((n>r)>k)&p) | (~(~((k&o)))>h) | 0 | 0 | 0 | 0 | not entailment |
~((~(o)>(y|a))) | ((f|((n>f)|(o&h)))|(~((p|y))>o)) | 0 | 0 | 0 | 0 | not entailment |
~((((~(p)>k)&(u|(p>k)))>((u|~(h))>h))) | (p|k) | 1 | 1 | 1 | 1 | entailment |
(h&(h&~((((n>(o&u))|u)>y)))) | ~(~((((((r|p)|y)|a)>p)>h))) | 1 | 1 | 0 | 0 | entailment |
~((((~(p)>k)&(u|(p>k)))>((u|~(h))>h))) | ~(~((((((r|p)|y)|a)>p)>h))) | 0 | 1 | 0 | 0 | not entailment |
(h&(h&~((((n>(o&u))|u)>y)))) | (p|k) | 0 | 1 | 0 | 0 | not entailment |
(n&o) | (o|k) | 1 | 1 | 0 | 0 | entailment |
((p&(h&r))&(y>(y&u))) | (((a|u)|(n&(k>o)))>(u|h)) | 1 | 0 | 0 | 0 | entailment |
(n&o) | (((a|u)|(n&(k>o)))>(u|h)) | 0 | 0 | 0 | 0 | not entailment |
((p&(h&r))&(y>(y&u))) | (o|k) | 0 | 1 | 0 | 0 | not entailment |
(~(~((r&a)))|(p|h)) | ((k|(h|(a|n)))|p) | 1 | 1 | 0 | 0 | entailment |
~((u>(p&((y|o)&(r|(f>u)))))) | ((p>(p>u))|y) | 1 | 1 | 1 | 0 | entailment |
(~(~((r&a)))|(p|h)) | ((p>(p>u))|y) | 0 | 1 | 0 | 0 | not entailment |
~((u>(p&((y|o)&(r|(f>u)))))) | ((k|(h|(a|n)))|p) | 0 | 1 | 0 | 0 | not entailment |
((c&(t&f))&(f&(c|~((n>k))))) | ((n>(f&c))|r) | 1 | 1 | 0 | 0 | entailment |
(~(l)>(l&l)) | (~(((n|f)>(~(t)>n)))|(~(n)|l)) | 1 | 0 | 0 | 0 | entailment |
((c&(t&f))&(f&(c|~((n>k))))) | (~(((n|f)>(~(t)>n)))|(~(n)|l)) | 0 | 0 | 0 | 0 | not entailment |
(~(l)>(l&l)) | ((n>(f&c))|r) | 0 | 1 | 0 | 0 | not entailment |
(c&((~(r)|~(n))&t)) | ((t|(~((g>r))&g))|~(((((f|r)>z)>k)>g))) | 1 | 0 | 0 | 0 | entailment |
~((c|k)) | (((l|c)&~((r|(l&r))))>(~(~(f))>l)) | 1 | 0 | 0 | 0 | entailment |
(c&((~(r)|~(n))&t)) | (((l|c)&~((r|(l&r))))>(~(~(f))>l)) | 0 | 0 | 0 | 0 | not entailment |
~((c|k)) | ((t|(~((g>r))&g))|~(((((f|r)>z)>k)>g))) | 0 | 0 | 0 | 0 | not entailment |
(k&z) | ((((c>z)>l)|(t|r))>(k|(g|(g|(z&r))))) | 1 | 0 | 0 | 0 | entailment |
((f&~(~((t>~((n|t))))))&~(k)) | ~(~((~(((g&n)&t))|((~(f)&(k>g))&t)))) | 1 | 0 | 0 | 0 | entailment |
(k&z) | ~(~((~(((g&n)&t))|((~(f)&(k>g))&t)))) | 0 | 0 | 0 | 0 | not entailment |
((f&~(~((t>~((n|t))))))&~(k)) | ((((c>z)>l)|(t|r))>(k|(g|(g|(z&r))))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(n)>(z>~(z))))|(((z&k)&c)|z)) | ((((c|t)|g)|(f|~(f)))&z) | 1 | 1 | 0 | 0 | entailment |
((~(f)>~((l&f)))>~(((g&(g|l))|(l>t)))) | ((((n|(~(((k>g)|n))|r))>g)|n)|(l|(l&r))) | 1 | 1 | 0 | 0 | entailment |
(~((~(n)>(z>~(z))))|(((z&k)&c)|z)) | ((((n|(~(((k>g)|n))|r))>g)|n)|(l|(l&r))) | 0 | 0 | 0 | 0 | not entailment |
((~(f)>~((l&f)))>~(((g&(g|l))|(l>t)))) | ((((c|t)|g)|(f|~(f)))&z) | 0 | 1 | 0 | 0 | not entailment |
(f&c) | (~((n>g))>(t|(k|f))) | 1 | 0 | 0 | 0 | entailment |
(~((k|((r|k)&z)))&~((c|~(r)))) | (t>(r&(((((t|t)>t)|f)&z)>r))) | 1 | 1 | 0 | 0 | entailment |
(f&c) | (t>(r&(((((t|t)>t)|f)&z)>r))) | 0 | 0 | 0 | 0 | not entailment |
(~((k|((r|k)&z)))&~((c|~(r)))) | (~((n>g))>(t|(k|f))) | 0 | 1 | 0 | 0 | not entailment |
(~((((c|z)&(g|n))>n))&(r>r)) | (g|n) | 1 | 1 | 1 | 1 | entailment |
~(((r|r)>z)) | (((l|l)>((k|g)>c))>~((~(n)&(z&c)))) | 1 | 0 | 0 | 0 | entailment |
(~((((c|z)&(g|n))>n))&(r>r)) | (((l|l)>((k|g)>c))>~((~(n)&(z&c)))) | 0 | 0 | 0 | 0 | not entailment |
~(((r|r)>z)) | (g|n) | 0 | 1 | 0 | 0 | not entailment |
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