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 |
---|---|---|---|---|---|---|
((~((o|o))|o)&((o|(o&o))&((o>o)>o))) | (((o>~(o))>o)&(o>o)) | 1 | 1 | 1 | 1 | entailment |
~((((o&o)>(o&(o|o)))&(o|o))) | (((o&((o|o)|(o|o)))>(~(~(o))|o))>~(o)) | 1 | 0 | 1 | 1 | entailment |
((~((o|o))|o)&((o|(o&o))&((o>o)>o))) | (((o&((o|o)|(o|o)))>(~(~(o))|o))>~(o)) | 0 | 0 | 1 | 1 | not entailment |
~((((o&o)>(o&(o|o)))&(o|o))) | (((o>~(o))>o)&(o>o)) | 0 | 1 | 1 | 1 | not entailment |
((o|(o>o))&(o|o)) | ((~(~(o))&~(o))|(o|(~((o>o))&o))) | 1 | 0 | 1 | 1 | entailment |
~(o) | ~((o|((o|(o&(o>o)))|((o|o)&(o>o))))) | 1 | 0 | 1 | 0 | entailment |
((o|(o>o))&(o|o)) | ~((o|((o|(o&(o>o)))|((o|o)&(o>o))))) | 0 | 0 | 1 | 1 | not entailment |
~(o) | ((~(~(o))&~(o))|(o|(~((o>o))&o))) | 0 | 0 | 1 | 0 | not entailment |
(o|o) | (o|o) | 1 | 1 | 1 | 1 | entailment |
~((o|o)) | (~((o&o))&(o|~(~((o|~((o|o))))))) | 1 | 0 | 1 | 0 | entailment |
(o|o) | (~((o&o))&(o|~(~((o|~((o|o))))))) | 0 | 0 | 1 | 0 | not entailment |
~((o|o)) | (o|o) | 0 | 1 | 1 | 0 | not entailment |
((((o|((o&~(o))&o))&o)>o)>o) | (((o&o)>((o|o)&(o&o)))>((o|o)&o)) | 1 | 0 | 1 | 1 | entailment |
~((o|(o|o))) | ~((o|(~((o&o))>(o|o)))) | 1 | 0 | 1 | 1 | entailment |
((((o|((o&~(o))&o))&o)>o)>o) | ~((o|(~((o&o))>(o|o)))) | 0 | 1 | 1 | 1 | not entailment |
~((o|(o|o))) | (((o&o)>((o|o)&(o&o)))>((o|o)&o)) | 0 | 0 | 1 | 0 | not entailment |
(o&o) | ((~((o&~(o)))>o)|o) | 1 | 0 | 1 | 0 | entailment |
(o>~(o)) | ~(((~((o&o))>(o|(o|o)))&(o|o))) | 1 | 0 | 1 | 1 | entailment |
(o&o) | ~(((~((o&o))>(o|(o|o)))&(o|o))) | 0 | 0 | 1 | 0 | not entailment |
(o>~(o)) | ((~((o&~(o)))>o)|o) | 0 | 0 | 1 | 0 | not entailment |
~(~(~(((o>o)&~(o))))) | (~(~(o))&((((o>o)>o)>(o&o))&o)) | 1 | 0 | 1 | 1 | entailment |
~((o|o)) | ~(~(~(o))) | 1 | 0 | 1 | 1 | entailment |
~(~(~(((o>o)&~(o))))) | ~(~(~(o))) | 0 | 1 | 1 | 1 | not entailment |
~((o|o)) | (~(~(o))&((((o>o)>o)>(o&o))&o)) | 0 | 0 | 1 | 0 | not entailment |
~(o) | (o>~(o)) | 1 | 0 | 1 | 1 | entailment |
~(((o|(o>o))>~(((o>o)&o)))) | (o&(((o|o)&~(o))>((o|o)>o))) | 1 | 1 | 1 | 1 | entailment |
~(o) | (o&(((o|o)&~(o))>((o|o)>o))) | 0 | 0 | 1 | 0 | not entailment |
~(((o|(o>o))>~(((o>o)&o)))) | (o>~(o)) | 0 | 1 | 1 | 1 | not entailment |
~(~(~(o))) | ((o>~(o))&(o|(o>(o>o)))) | 1 | 0 | 1 | 0 | entailment |
~(~((o&(((o|((o>o)&o))>(o|o))|(o>o))))) | ((o|(((o&o)|~((o|o)))>o))&(o|(o|(o&o)))) | 1 | 1 | 1 | 1 | entailment |
~(~(~(o))) | ((o|(((o&o)|~((o|o)))>o))&(o|(o|(o&o)))) | 0 | 0 | 1 | 0 | not entailment |
~(~((o&(((o|((o>o)&o))>(o|o))|(o>o))))) | ((o>~(o))&(o|(o>(o>o)))) | 0 | 1 | 1 | 1 | not entailment |
~((o&(o>o))) | ~(((~((o>o))&~(~(((o>o)>o))))|o)) | 1 | 0 | 1 | 1 | entailment |
(o&o) | ((o&o)&o) | 1 | 0 | 1 | 1 | entailment |
~((o&(o>o))) | ((o&o)&o) | 0 | 1 | 1 | 1 | not entailment |
(o&o) | ~(((~((o>o))&~(~(((o>o)>o))))|o)) | 0 | 0 | 1 | 0 | not entailment |
((t>t)>~((~(e)>(f|~(~(t)))))) | ~(~(~(~(~((~(c)&~(~(t)))))))) | 1 | 0 | 0 | 0 | entailment |
(a&t) | ((k|k)>((p>a)|z)) | 1 | 0 | 0 | 0 | entailment |
((t>t)>~((~(e)>(f|~(~(t)))))) | ((k|k)>((p>a)|z)) | 0 | 1 | 0 | 0 | not entailment |
(a&t) | ~(~(~(~(~((~(c)&~(~(t)))))))) | 0 | 0 | 0 | 0 | not entailment |
(~((((((e|a)|a)&a)>t)&((f&~(p))>e)))&e) | ((((p|e)|t)&(c|a))|~(t)) | 1 | 1 | 0 | 0 | entailment |
(z&(t|a)) | (~((~(((f&a)|z))&e))|(m&c)) | 1 | 0 | 0 | 0 | entailment |
(~((((((e|a)|a)&a)>t)&((f&~(p))>e)))&e) | (~((~(((f&a)|z))&e))|(m&c)) | 0 | 1 | 0 | 0 | not entailment |
(z&(t|a)) | ((((p|e)|t)&(c|a))|~(t)) | 0 | 0 | 0 | 0 | not entailment |
((t|(e&(k&a)))&k) | (~((p|a))>(e>(t|p))) | 1 | 0 | 0 | 0 | entailment |
(k&f) | (m>(f|(t>c))) | 1 | 0 | 0 | 0 | entailment |
((t|(e&(k&a)))&k) | (m>(f|(t>c))) | 0 | 1 | 0 | 0 | not entailment |
(k&f) | (~((p|a))>(e>(t|p))) | 0 | 0 | 0 | 0 | not entailment |
~((~((a&t))&((c&(z&(t&c)))>z))) | (m>(~((k&e))>(p>a))) | 1 | 1 | 0 | 0 | entailment |
~((k>((k|e)>((a>k)>a)))) | ((f|(k|f))|~(~(~((~(m)|(c|f)))))) | 1 | 0 | 0 | 0 | entailment |
~((~((a&t))&((c&(z&(t&c)))>z))) | ((f|(k|f))|~(~(~((~(m)|(c|f)))))) | 0 | 0 | 0 | 0 | not entailment |
~((k>((k|e)>((a>k)>a)))) | (m>(~((k&e))>(p>a))) | 0 | 1 | 0 | 0 | not entailment |
((c&p)&~((((t|e)>m)>((k>p)&(a>k))))) | ((k|t)>(e>m)) | 1 | 1 | 1 | 1 | entailment |
(f&~(~(f))) | (f|e) | 1 | 1 | 0 | 0 | entailment |
((c&p)&~((((t|e)>m)>((k>p)&(a>k))))) | (f|e) | 0 | 1 | 0 | 0 | not entailment |
(f&~(~(f))) | ((k|t)>(e>m)) | 0 | 1 | 0 | 0 | not entailment |
~((a|c)) | ((z|~(a))|(e|(e|(~(p)&(m>(c|a)))))) | 1 | 0 | 0 | 0 | entailment |
(c&~((~((f>p))|(f&(((t&f)>z)|f))))) | ~((~(~(~(((p>m)>e))))&f)) | 1 | 1 | 0 | 0 | entailment |
~((a|c)) | ~((~(~(~(((p>m)>e))))&f)) | 0 | 0 | 0 | 0 | not entailment |
(c&~((~((f>p))|(f&(((t&f)>z)|f))))) | ((z|~(a))|(e|(e|(~(p)&(m>(c|a)))))) | 0 | 1 | 0 | 0 | not entailment |
~((((f>z)&e)>z)) | ((a|~((m&p)))>((~(z)|m)&(a>a))) | 1 | 0 | 0 | 0 | entailment |
(~(~(((p>(m>(c>e)))>e)))&t) | (k|t) | 1 | 1 | 0 | 0 | entailment |
~((((f>z)&e)>z)) | (k|t) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((p>(m>(c>e)))>e)))&t) | ((a|~((m&p)))>((~(z)|m)&(a>a))) | 0 | 0 | 0 | 0 | not entailment |
(t&(z&p)) | ((z&(~(t)|z))&t) | 1 | 0 | 1 | 0 | entailment |
(~(t)&~(~(((e|z)|a)))) | (t>(t>e)) | 1 | 1 | 1 | 1 | entailment |
(t&(z&p)) | (t>(t>e)) | 0 | 1 | 0 | 0 | not entailment |
(~(t)&~(~(((e|z)|a)))) | ((z&(~(t)|z))&t) | 0 | 1 | 1 | 0 | not entailment |
(((e>k)|(~(p)>((m&a)&(k|t))))>(e&(m>m))) | (~(p)>(e|(z&k))) | 1 | 1 | 0 | 0 | entailment |
(m&f) | ((m|z)|~((~(t)>((z&t)|p)))) | 1 | 0 | 0 | 0 | entailment |
(((e>k)|(~(p)>((m&a)&(k|t))))>(e&(m>m))) | ((m|z)|~((~(t)>((z&t)|p)))) | 0 | 1 | 0 | 0 | not entailment |
(m&f) | (~(p)>(e|(z&k))) | 0 | 0 | 0 | 0 | not entailment |
~(~((p&(a>z)))) | ((k|c)|~((((z>(a>c))&a)&a))) | 1 | 0 | 0 | 0 | entailment |
((z>~((k>k)))&((m>(c|(m>f)))>t)) | (~(((c>(c|c))&(e>(e&(f>a)))))>t) | 1 | 1 | 0 | 0 | entailment |
~(~((p&(a>z)))) | (~(((c>(c|c))&(e>(e&(f>a)))))>t) | 0 | 0 | 0 | 0 | not entailment |
((z>~((k>k)))&((m>(c|(m>f)))>t)) | ((k|c)|~((((z>(a>c))&a)&a))) | 0 | 1 | 0 | 0 | not entailment |
~(~((k&t))) | ~((~(((e|z)>k))&(m|p))) | 1 | 0 | 0 | 0 | entailment |
(~(((((p|k)&f)>(c|c))&f))&~(~((c&t)))) | ((a|~((f&t)))|~(((m>m)&(t>k)))) | 1 | 1 | 0 | 0 | entailment |
~(~((k&t))) | ((a|~((f&t)))|~(((m>m)&(t>k)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((((p|k)&f)>(c|c))&f))&~(~((c&t)))) | ~((~(((e|z)>k))&(m|p))) | 0 | 1 | 0 | 0 | not entailment |
((t&(a>a))>p) | ((t&(f|((p&z)&(k&f))))>p) | 1 | 0 | 0 | 0 | entailment |
(k&((e&p)>~((m>(z|(m>a)))))) | (k|k) | 1 | 1 | 1 | 1 | entailment |
((t&(a>a))>p) | (k|k) | 0 | 1 | 0 | 0 | not entailment |
(k&((e&p)>~((m>(z|(m>a)))))) | ((t&(f|((p&z)&(k&f))))>p) | 0 | 1 | 0 | 0 | not entailment |
((~(z)|~(~((m&t))))&(e>~(((f>z)>k)))) | ((p>k)>(~(z)|m)) | 1 | 1 | 0 | 0 | entailment |
~(~(t)) | (~(k)>(m|t)) | 1 | 0 | 0 | 0 | entailment |
((~(z)|~(~((m&t))))&(e>~(((f>z)>k)))) | (~(k)>(m|t)) | 0 | 1 | 1 | 0 | not entailment |
~(~(t)) | ((p>k)>(~(z)|m)) | 0 | 0 | 0 | 0 | not entailment |
(~(((j&(y|s))|~(j)))|((s&(r&~(a)))&e)) | (k|(~(j)>r)) | 1 | 1 | 0 | 0 | entailment |
(((e>r)&(y&s))&((a>s)|e)) | ((~((~((y>j))>(y&j)))&((s>s)&e))|y) | 1 | 0 | 0 | 0 | entailment |
(~(((j&(y|s))|~(j)))|((s&(r&~(a)))&e)) | ((~((~((y>j))>(y&j)))&((s>s)&e))|y) | 0 | 1 | 1 | 0 | not entailment |
(((e>r)&(y&s))&((a>s)|e)) | (k|(~(j)>r)) | 0 | 1 | 0 | 0 | not entailment |
(j&(~(a)|(e>k))) | (~(y)>j) | 1 | 1 | 0 | 0 | entailment |
~(((k&(j>a))>(r&y))) | ((r&(k|s))|((~(a)|~((j&(s|y))))|k)) | 1 | 0 | 0 | 0 | entailment |
(j&(~(a)|(e>k))) | ((r&(k|s))|((~(a)|~((j&(s|y))))|k)) | 0 | 0 | 0 | 0 | not entailment |
~(((k&(j>a))>(r&y))) | (~(y)>j) | 0 | 1 | 1 | 0 | not entailment |
(~((s|y))&(a&~(~(k)))) | ((~(j)&j)|((((k|a)>(k|a))>y)>s)) | 1 | 0 | 0 | 0 | entailment |
(y&(((~(a)&e)&e)&y)) | (e|(j>e)) | 1 | 1 | 0 | 0 | entailment |
(~((s|y))&(a&~(~(k)))) | (e|(j>e)) | 0 | 1 | 0 | 0 | not entailment |
(y&(((~(a)&e)&e)&y)) | ((~(j)&j)|((((k|a)>(k|a))>y)>s)) | 0 | 0 | 0 | 0 | not entailment |
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