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 |
|---|---|---|---|---|---|---|
~(((a>(k>o))|n)) | (n>((o&(p|~(j)))&o)) | 1 | 0 | 0 | 0 | entailment |
~(((k>n)>(~((p>a))|(k>p)))) | ((k>n)|((k>n)|j)) | 1 | 1 | 0 | 0 | entailment |
~(((a>(k>o))|n)) | ((k>n)|((k>n)|j)) | 0 | 1 | 0 | 0 | not entailment |
~(((k>n)>(~((p>a))|(k>p)))) | (n>((o&(p|~(j)))&o)) | 0 | 1 | 0 | 0 | not entailment |
~(((o|j)>(k>n))) | (k|(j|(o|o))) | 1 | 1 | 1 | 1 | entailment |
(((k>(p>p))>~((k&((o&j)>o))))|p) | ~(((((k|j)&k)&o)&(~(p)&(p>k)))) | 1 | 1 | 1 | 0 | entailment |
~(((o|j)>(k>n))) | ~(((((k|j)&k)&o)&(~(p)&(p>k)))) | 0 | 0 | 0 | 0 | not entailment |
(((k>(p>p))>~((k&((o&j)>o))))|p) | (k|(j|(o|o))) | 0 | 1 | 1 | 1 | not entailment |
((a>(n&o))>((o>((a&j)|j))&p)) | (o>(n>p)) | 1 | 1 | 1 | 1 | entailment |
((((p>n)|k)>~(p))&(((~(a)&j)&k)&(j>j))) | (j|(n>j)) | 1 | 1 | 1 | 1 | entailment |
((a>(n&o))>((o>((a&j)|j))&p)) | (j|(n>j)) | 0 | 1 | 1 | 1 | not entailment |
((((p>n)|k)>~(p))&(((~(a)&j)&k)&(j>j))) | (o>(n>p)) | 0 | 1 | 0 | 0 | not entailment |
~(~(j)) | ((k&((a|n)|(p>p)))>(p>j)) | 1 | 0 | 0 | 0 | entailment |
(~((~(n)&(j|a)))&(p&(((o>p)>a)>p))) | (p|p) | 1 | 1 | 1 | 1 | entailment |
~(~(j)) | (p|p) | 0 | 1 | 0 | 0 | not entailment |
(~((~(n)&(j|a)))&(p&(((o>p)>a)>p))) | ((k&((a|n)|(p>p)))>(p>j)) | 0 | 1 | 0 | 0 | not entailment |
~(((j>k)|(p>k))) | (((j>(j>(~(o)>(o&(n|o)))))&(k&k))>j) | 1 | 0 | 0 | 0 | entailment |
((a&k)&((n|(a>n))>~((~(n)>k)))) | (a|~((a|n))) | 1 | 1 | 1 | 0 | entailment |
~(((j>k)|(p>k))) | (a|~((a|n))) | 0 | 1 | 0 | 0 | not entailment |
((a&k)&((n|(a>n))>~((~(n)>k)))) | (((j>(j>(~(o)>(o&(n|o)))))&(k&k))>j) | 0 | 0 | 0 | 0 | not entailment |
~((o|a)) | ((o&(k&j))|(~((j&(k&p)))|(a>o))) | 1 | 0 | 0 | 0 | entailment |
~((o|a)) | (n>p) | 0 | 1 | 0 | 0 | not entailment |
~(n) | ((o&(k&j))|(~((j&(k&p)))|(a>o))) | 0 | 0 | 0 | 0 | not entailment |
((o&p)&~((n&(o>p)))) | ((n|(k&k))>~(~((p|o)))) | 1 | 0 | 0 | 0 | entailment |
((~(((a|o)|p))>a)&n) | (o>~(~(((o|n)&n)))) | 1 | 1 | 1 | 0 | entailment |
((o&p)&~((n&(o>p)))) | (o>~(~(((o|n)&n)))) | 0 | 1 | 1 | 0 | not entailment |
((~(((a|o)|p))>a)&n) | ((n|(k&k))>~(~((p|o)))) | 0 | 0 | 0 | 0 | not entailment |
(o&p) | (~(n)>((j>(o>(a|n)))>(a|p))) | 1 | 0 | 0 | 0 | entailment |
~(((((p>(a|n))>a)|(n>p))&p)) | ~((~((~((k&a))|((j>~(p))&a)))&o)) | 1 | 0 | 0 | 0 | entailment |
(o&p) | ~((~((~((k&a))|((j>~(p))&a)))&o)) | 0 | 0 | 0 | 0 | not entailment |
~(((((p>(a|n))>a)|(n>p))&p)) | (~(n)>((j>(o>(a|n)))>(a|p))) | 0 | 1 | 0 | 0 | not entailment |
~((((n&k)|(p>o))|j)) | ~(~(((p>(n&(~(~(j))|p)))>((o>n)&n)))) | 1 | 0 | 1 | 0 | entailment |
(o&a) | ((a>o)&a) | 1 | 0 | 1 | 0 | entailment |
~((((n&k)|(p>o))|j)) | ((a>o)&a) | 0 | 1 | 0 | 0 | not entailment |
(o&a) | ~(~(((p>(n&(~(~(j))|p)))>((o>n)&n)))) | 0 | 0 | 0 | 0 | not entailment |
~((a>o)) | ((((j>k)&(j&o))&((p>p)>o))>n) | 1 | 0 | 0 | 0 | entailment |
((k&((o>o)>(o&p)))&((p&a)&a)) | (~(((a&o)>j))|((p>j)|j)) | 1 | 1 | 0 | 0 | entailment |
~((a>o)) | (~(((a&o)>j))|((p>j)|j)) | 0 | 0 | 0 | 0 | not entailment |
((k&((o>o)>(o&p)))&((p&a)&a)) | ((((j>k)&(j&o))&((p>p)>o))>n) | 0 | 1 | 0 | 0 | not entailment |
(n&(o&(k|~((j|p))))) | (((j>o)|n)|((j|~((p>(a|a))))>(a>(p>o)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((j>k)>(o&~((k|(p>k))))))) | ~(k) | 1 | 1 | 1 | 1 | entailment |
(n&(o&(k|~((j|p))))) | ~(k) | 0 | 1 | 1 | 0 | not entailment |
~(~(((j>k)>(o&~((k|(p>k))))))) | (((j>o)|n)|((j|~((p>(a|a))))>(a>(p>o)))) | 0 | 0 | 0 | 0 | not entailment |
~((((o|p)&o)>k)) | (~(k)&(~(j)|((a|((n>o)>(a|j)))&j))) | 1 | 0 | 0 | 0 | entailment |
(a&k) | ~(~((k|~(a)))) | 1 | 0 | 1 | 0 | entailment |
~((((o|p)&o)>k)) | ~(~((k|~(a)))) | 0 | 1 | 0 | 0 | not entailment |
(a&k) | (~(k)&(~(j)|((a|((n>o)>(a|j)))&j))) | 0 | 0 | 0 | 0 | not entailment |
~(((k>~(o))>(~((n|a))>k))) | (n>(j&a)) | 1 | 1 | 0 | 0 | entailment |
(a&p) | ~(~((~(a)>(a|a)))) | 1 | 0 | 1 | 1 | entailment |
~(((k>~(o))>(~((n|a))>k))) | ~(~((~(a)>(a|a)))) | 0 | 1 | 1 | 0 | not entailment |
(a&p) | (n>(j&a)) | 0 | 0 | 0 | 0 | not entailment |
(((k&o)|(k>(a&p)))&((n|(~(a)|p))>p)) | ((n>p)|~(k)) | 1 | 1 | 1 | 1 | entailment |
(((o>k)&(a&k))&(~(((k|(n>p))>k))>j)) | ((k>(p>p))&(n|k)) | 1 | 1 | 1 | 0 | entailment |
(((k&o)|(k>(a&p)))&((n|(~(a)|p))>p)) | ((k>(p>p))&(n|k)) | 0 | 1 | 1 | 0 | not entailment |
(((o>k)&(a&k))&(~(((k|(n>p))>k))>j)) | ((n>p)|~(k)) | 0 | 1 | 1 | 0 | not entailment |
(((p|k)|p)|~((a|((p&(n>o))|(k>j))))) | (n>(~((o|j))>(k|p))) | 1 | 1 | 1 | 0 | entailment |
((~((~(~(p))|p))>(a>(a&k)))>o) | ~(~(((~(k)>p)>((n&o)|((a>a)&o))))) | 1 | 0 | 0 | 0 | entailment |
(((p|k)|p)|~((a|((p&(n>o))|(k>j))))) | ~(~(((~(k)>p)>((n&o)|((a>a)&o))))) | 0 | 1 | 1 | 0 | not entailment |
((~((~(~(p))|p))>(a>(a&k)))>o) | (n>(~((o|j))>(k|p))) | 0 | 1 | 0 | 0 | not entailment |
(g&(~((e>(c&e)))&g)) | (((z>m)|z)&(e|(m>c))) | 1 | 1 | 0 | 0 | entailment |
~((m>(~(z)>((e|c)&(z|e))))) | (((g&(c|e))&e)>((e&g)&(c&c))) | 1 | 1 | 0 | 0 | entailment |
(g&(~((e>(c&e)))&g)) | (((g&(c|e))&e)>((e&g)&(c&c))) | 0 | 0 | 1 | 0 | not entailment |
~((m>(~(z)>((e|c)&(z|e))))) | (((z>m)|z)&(e|(m>c))) | 0 | 1 | 1 | 0 | not entailment |
(((z&m)|((e&e)&c))&((z>z)&~(((m>e)&m)))) | (z|((e|c)|e)) | 1 | 1 | 1 | 1 | entailment |
(m&~(((z>z)>(~((g|~(z)))|~((g|e)))))) | (z>((g&g)|~(e))) | 1 | 1 | 1 | 0 | entailment |
(((z&m)|((e&e)&c))&((z>z)&~(((m>e)&m)))) | (z>((g&g)|~(e))) | 0 | 1 | 0 | 0 | not entailment |
(m&~(((z>z)>(~((g|~(z)))|~((g|e)))))) | (z|((e|c)|e)) | 0 | 1 | 0 | 0 | not entailment |
(~(m)&~(e)) | ~(~(((~((c&g))|(m>g))&((e>c)|m)))) | 1 | 0 | 0 | 0 | entailment |
(e|(~((~(~(g))|~(e)))&~(e))) | ((g&(z|m))|e) | 1 | 1 | 0 | 0 | entailment |
(~(m)&~(e)) | ((g&(z|m))|e) | 0 | 1 | 0 | 0 | not entailment |
(e|(~((~(~(g))|~(e)))&~(e))) | ~(~(((~((c&g))|(m>g))&((e>c)|m)))) | 0 | 0 | 0 | 0 | not entailment |
(g&z) | ((g|m)>g) | 1 | 0 | 0 | 0 | entailment |
~(((((c|(e|e))|c)&(m>e))|z)) | ~((e&z)) | 1 | 1 | 1 | 1 | entailment |
(g&z) | ~((e&z)) | 0 | 0 | 0 | 0 | not entailment |
~(((((c|(e|e))|c)&(m>e))|z)) | ((g|m)>g) | 0 | 1 | 0 | 0 | not entailment |
~(((e&g)>((~(g)|(c&~(e)))&z))) | (~(e)>m) | 1 | 1 | 0 | 0 | entailment |
~(((e|e)|m)) | ~(((e|(c|e))&(((e|c)>e)&m))) | 1 | 0 | 0 | 0 | entailment |
~(((e&g)>((~(g)|(c&~(e)))&z))) | ~(((e|(c|e))&(((e|c)>e)&m))) | 0 | 1 | 0 | 0 | not entailment |
~(((e|e)|m)) | (~(e)>m) | 0 | 1 | 1 | 0 | not entailment |
(((z>z)|g)&e) | (c>e) | 1 | 1 | 0 | 0 | entailment |
~((m|(g&e))) | (g>(~(m)&(c>(e|g)))) | 1 | 0 | 0 | 0 | entailment |
(((z>z)|g)&e) | (g>(~(m)&(c>(e|g)))) | 0 | 0 | 0 | 0 | not entailment |
~((m|(g&e))) | (c>e) | 0 | 1 | 0 | 0 | not entailment |
(~(~((c|((z&g)|c))))&~(g)) | ((((m&e)>((z&e)|c))&c)&~(g)) | 1 | 1 | 0 | 0 | entailment |
(z&~(((c|e)&g))) | (~((e|(((z|m)|m)>c)))|z) | 1 | 0 | 0 | 0 | entailment |
(~(~((c|((z&g)|c))))&~(g)) | (~((e|(((z|m)|m)>c)))|z) | 0 | 1 | 0 | 0 | not entailment |
(z&~(((c|e)&g))) | ((((m&e)>((z&e)|c))&c)&~(g)) | 0 | 0 | 0 | 0 | not entailment |
~(((~(c)>g)|g)) | ~(((((g&g)&e)&m)|g)) | 1 | 0 | 0 | 0 | entailment |
(((~(m)>~(e))>~(e))&(z&e)) | ((~((~(e)&m))|c)|((c|g)&g)) | 1 | 1 | 0 | 0 | entailment |
~(((~(c)>g)|g)) | ((~((~(e)&m))|c)|((c|g)&g)) | 0 | 0 | 0 | 0 | not entailment |
(((~(m)>~(e))>~(e))&(z&e)) | ~(((((g&g)&e)&m)|g)) | 0 | 1 | 0 | 0 | not entailment |
((e&(c>g))|(~((e>z))|(z&(m|~((z|z)))))) | ((((m>z)&(c|c))>(z|(c|g)))>(z|(e|e))) | 1 | 1 | 1 | 0 | entailment |
((m|((g>~(z))>m))>(~((z&(m|(m>m))))&g)) | ((((z&m)>m)|e)&~(((g&z)&~(m)))) | 1 | 1 | 0 | 0 | entailment |
((e&(c>g))|(~((e>z))|(z&(m|~((z|z)))))) | ((((z&m)>m)|e)&~(((g&z)&~(m)))) | 0 | 1 | 1 | 0 | not entailment |
((m|((g>~(z))>m))>(~((z&(m|(m>m))))&g)) | ((((m>z)&(c|c))>(z|(c|g)))>(z|(e|e))) | 0 | 1 | 0 | 0 | not entailment |
(c&z) | (~((c|(z&c)))>e) | 1 | 0 | 0 | 0 | entailment |
~((((m>(m&m))&(z&z))|(e|~(~((z|g)))))) | ((g|z)>~((((m&z)>~(((e|e)&e)))>(z|c)))) | 1 | 1 | 0 | 0 | entailment |
(c&z) | ((g|z)>~((((m&z)>~(((e|e)&e)))>(z|c)))) | 0 | 0 | 0 | 0 | not entailment |
~((((m>(m&m))&(z&z))|(e|~(~((z|g)))))) | (~((c|(z&c)))>e) | 0 | 1 | 0 | 0 | not entailment |
((e&z)&m) | ((~(g)|c)|(m&e)) | 1 | 0 | 0 | 0 | entailment |
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