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 |
|---|---|---|---|---|---|---|
~(~((b&(((p|~(p))|~(t))&t)))) | (p|(b&o)) | 0 | 1 | 0 | 0 | not entailment |
(p&a) | ((t|m)|v) | 0 | 0 | 0 | 0 | not entailment |
((p|p)&a) | ((t>~(~((~(p)>~((b&b))))))>(o>p)) | 1 | 0 | 0 | 0 | entailment |
(v&t) | (b>v) | 1 | 1 | 0 | 0 | entailment |
((p|p)&a) | (b>v) | 0 | 1 | 0 | 0 | not entailment |
(v&t) | ((t>~(~((~(p)>~((b&b))))))>(o>p)) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(~((o&m)))&m))) | ~((v&~((a|m)))) | 1 | 1 | 0 | 0 | entailment |
(p&(b>((o&a)|p))) | (v|p) | 1 | 1 | 0 | 0 | entailment |
~(~((~(~((o&m)))&m))) | (v|p) | 0 | 1 | 0 | 0 | not entailment |
(p&(b>((o&a)|p))) | ~((v&~((a|m)))) | 0 | 1 | 0 | 0 | not entailment |
(f&(p>f)) | ((~(f)>((p|f)&f))|(p>~(p))) | 1 | 0 | 1 | 0 | entailment |
(~((f>(((p|((p&f)|p))&(f>p))>f)))|p) | (p|p) | 1 | 1 | 1 | 1 | entailment |
(f&(p>f)) | (p|p) | 0 | 1 | 1 | 0 | not entailment |
(~((f>(((p|((p&f)|p))&(f>p))>f)))|p) | ((~(f)>((p|f)&f))|(p>~(p))) | 0 | 1 | 1 | 0 | not entailment |
~(((f|(p|(p>(f|p))))>(~((f&f))|p))) | (p>~((~(p)>f))) | 1 | 1 | 1 | 0 | entailment |
(f&(f&p)) | ((p|(p>f))>p) | 1 | 0 | 1 | 0 | entailment |
~(((f|(p|(p>(f|p))))>(~((f&f))|p))) | ((p|(p>f))>p) | 0 | 1 | 1 | 0 | not entailment |
(f&(f&p)) | (p>~((~(p)>f))) | 0 | 0 | 1 | 0 | not entailment |
~((f>~((p&p)))) | (~((p&(f&((p&f)&(f&f)))))>~(f)) | 1 | 0 | 1 | 0 | entailment |
(f&(f&~(((p|f)&p)))) | ((f>(f&f))&~(((p>~(f))>~((~(p)&f))))) | 1 | 0 | 1 | 1 | entailment |
~((f>~((p&p)))) | ((f>(f&f))&~(((p>~(f))>~((~(p)&f))))) | 0 | 0 | 1 | 0 | not entailment |
(f&(f&~(((p|f)&p)))) | (~((p&(f&((p&f)&(f&f)))))>~(f)) | 0 | 0 | 1 | 0 | not entailment |
(f&f) | (p>(((p&p)|~(f))&f)) | 1 | 0 | 0 | 0 | entailment |
((f|((p|(f&f))>(f>f)))>((p>p)>p)) | (~((p|(((f|f)&p)|p)))>(~(f)|p)) | 1 | 1 | 1 | 1 | entailment |
(f&f) | (~((p|(((f|f)&p)|p)))>(~(f)|p)) | 0 | 0 | 0 | 0 | not entailment |
((f|((p|(f&f))>(f>f)))>((p>p)>p)) | (p>(((p&p)|~(f))&f)) | 0 | 1 | 1 | 1 | not entailment |
(((p&p)&(p&p))|(~(~(p))|(p&f))) | ((f|~((p>f)))|((p|f)&~(f))) | 1 | 1 | 1 | 0 | entailment |
((f|(f|(((f&(p|f))>p)|p)))>~(p)) | ~((((~((~(p)&(p&p)))|p)|p)&p)) | 1 | 1 | 1 | 1 | entailment |
(((p&p)&(p&p))|(~(~(p))|(p&f))) | ~((((~((~(p)&(p&p)))|p)|p)&p)) | 0 | 1 | 1 | 0 | not entailment |
((f|(f|(((f&(p|f))>p)|p)))>~(p)) | ((f|~((p>f)))|((p|f)&~(f))) | 0 | 1 | 1 | 1 | not entailment |
((p|f)|p) | (p|(f&f)) | 1 | 1 | 1 | 1 | entailment |
~((f|(f|f))) | (((~((f|p))|~(p))|~(p))|(f>~(p))) | 1 | 0 | 0 | 0 | entailment |
((p|f)|p) | (((~((f|p))|~(p))|~(p))|(f>~(p))) | 0 | 0 | 1 | 0 | not entailment |
~((f|(f|f))) | (p|(f&f)) | 0 | 1 | 0 | 0 | not entailment |
((f>((p>p)>(p|f)))&((f>f)>~((p>f)))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
(f&p) | (((p>f)|p)>~(~(f))) | 1 | 0 | 1 | 0 | entailment |
((f>((p>p)>(p|f)))&((f>f)>~((p>f)))) | (((p>f)|p)>~(~(f))) | 0 | 1 | 1 | 1 | not entailment |
(f&p) | ~(f) | 0 | 1 | 1 | 0 | not entailment |
(p&p) | ((f>p)>p) | 1 | 0 | 0 | 0 | entailment |
(~(((f|f)|(p|p)))&(((p>f)&f)>f)) | (((f>(p&(f&f)))&p)>~(((f|f)&f))) | 1 | 1 | 1 | 1 | entailment |
(p&p) | (((f>(p&(f&f)))&p)>~(((f|f)&f))) | 0 | 0 | 0 | 0 | not entailment |
(~(((f|f)|(p|p)))&(((p>f)&f)>f)) | ((f>p)>p) | 0 | 1 | 1 | 1 | not entailment |
(~(f)>(f&(p&f))) | (f&f) | 1 | 1 | 1 | 1 | entailment |
((~(p)>f)&p) | ~(~(~((~((p&p))&(p>~((~(f)>f))))))) | 1 | 0 | 1 | 1 | entailment |
(~(f)>(f&(p&f))) | ~(~(~((~((p&p))&(p>~((~(f)>f))))))) | 0 | 0 | 1 | 1 | not entailment |
((~(p)>f)&p) | (f&f) | 0 | 1 | 1 | 1 | not entailment |
((f>p)&((~(f)&(p&f))|(p|p))) | ((((f&f)>p)>f)|p) | 1 | 1 | 1 | 0 | entailment |
~(((~(~((~((p>(f&p)))|p)))&(f|p))|p)) | (~((f>p))|(~(p)|f)) | 1 | 1 | 1 | 1 | entailment |
((f>p)&((~(f)&(p&f))|(p|p))) | (~((f>p))|(~(p)|f)) | 0 | 1 | 1 | 0 | not entailment |
~(((~(~((~((p>(f&p)))|p)))&(f|p))|p)) | ((((f&f)>p)>f)|p) | 0 | 1 | 1 | 1 | not entailment |
(p&(f|f)) | (f&((~(p)|f)|((f&f)&~(p)))) | 1 | 0 | 1 | 0 | entailment |
~((((p&(p|f))&(f>p))>f)) | ~(~(~((((p|p)>(f|f))&(f&f))))) | 1 | 0 | 1 | 1 | entailment |
(p&(f|f)) | ~(~(~((((p|p)>(f|f))&(f&f))))) | 0 | 0 | 1 | 0 | not entailment |
~((((p&(p|f))&(f>p))>f)) | (f&((~(p)|f)|((f&f)&~(p)))) | 0 | 0 | 1 | 0 | not entailment |
(p&f) | ~(~(((p>p)>p))) | 1 | 0 | 1 | 0 | entailment |
~((f|p)) | ((f>p)>~(f)) | 1 | 0 | 1 | 0 | entailment |
(p&f) | ((f>p)>~(f)) | 0 | 0 | 1 | 0 | not entailment |
~((f|p)) | ~(~(((p>p)>p))) | 0 | 0 | 1 | 0 | not entailment |
((p&(f&f))|((f>p)|p)) | (((~(p)>f)&p)|(f>(f&p))) | 1 | 0 | 1 | 1 | entailment |
(p|(~(f)>f)) | (~(~((p|f)))|f) | 1 | 0 | 1 | 1 | entailment |
((p&(f&f))|((f>p)|p)) | (~(~((p|f)))|f) | 0 | 1 | 1 | 1 | not entailment |
(p|(~(f)>f)) | (((~(p)>f)&p)|(f>(f&p))) | 0 | 0 | 1 | 0 | not entailment |
((o|o)&(~((o&(o>o)))>(o>o))) | (o|o) | 1 | 1 | 1 | 1 | entailment |
(o>(((o|o)>o)&(~(o)|~(o)))) | ~((o|o)) | 1 | 1 | 1 | 1 | entailment |
((o|o)&(~((o&(o>o)))>(o>o))) | ~((o|o)) | 0 | 1 | 1 | 1 | 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 | 1 | entailment |
(o>~((o|o))) | ~((o&o)) | 1 | 1 | 1 | 1 | entailment |
~(~(o)) | ~((o&o)) | 0 | 1 | 1 | 0 | not entailment |
(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)) | 1 | 0 | 1 | 1 | entailment |
~(~((o|((o&o)|(o&o))))) | (((o>o)>o)&o) | 1 | 1 | 1 | 0 | entailment |
~((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 |
(((~((e&w))>w)&~(a))&~(~((b&e)))) | ((a>b)>((~(w)|a)>(b&k))) | 1 | 1 | 0 | 0 | entailment |
(((h>b)>(h&b))&(w&p)) | ~(~((p|~((((n|k)>w)&n))))) | 1 | 0 | 0 | 0 | entailment |
(((~((e&w))>w)&~(a))&~(~((b&e)))) | ~(~((p|~((((n|k)>w)&n))))) | 0 | 1 | 0 | 0 | not entailment |
(((h>b)>(h&b))&(w&p)) | ((a>b)>((~(w)|a)>(b&k))) | 0 | 0 | 0 | 0 | not entailment |
(~(((n|p)|e))&(((b|p)|b)>w)) | ((p>e)|~(c)) | 1 | 1 | 0 | 0 | entailment |
(((b|n)&(n&b))&(a|~(((k>k)|c)))) | ~((((e&b)|(b&b))>(~(a)|~((~(b)>n))))) | 1 | 0 | 0 | 0 | entailment |
(~(((n|p)|e))&(((b|p)|b)>w)) | ~((((e&b)|(b&b))>(~(a)|~((~(b)>n))))) | 0 | 0 | 0 | 0 | not entailment |
(((b|n)&(n&b))&(a|~(((k>k)|c)))) | ((p>e)|~(c)) | 0 | 1 | 0 | 0 | not entailment |
(((~(c)&w)|(n&b))&(((a&e)|n)&b)) | ((((w|b)>n)>(h>b))>(b|(h|e))) | 1 | 1 | 0 | 0 | entailment |
(((n&(~(w)&a))|~((c|a)))&(h>(k&c))) | ~((~(~(c))&~(((~(w)&a)|~(c))))) | 1 | 1 | 1 | 1 | entailment |
(((~(c)&w)|(n&b))&(((a&e)|n)&b)) | ~((~(~(c))&~(((~(w)&a)|~(c))))) | 0 | 0 | 1 | 0 | not entailment |
(((n&(~(w)&a))|~((c|a)))&(h>(k&c))) | ((((w|b)>n)>(h>b))>(b|(h|e))) | 0 | 1 | 0 | 0 | not entailment |
~((((n|k)>(~((p>k))>(p&~(h))))|c)) | ~((~((b&(p>(w|(b>a)))))&k)) | 1 | 1 | 0 | 0 | entailment |
(b&(c|~(~(((a|~(p))|((n|a)|p)))))) | ((c|(a|(p>b)))&b) | 1 | 1 | 1 | 1 | entailment |
~((((n|k)>(~((p>k))>(p&~(h))))|c)) | ((c|(a|(p>b)))&b) | 0 | 1 | 0 | 0 | not entailment |
(b&(c|~(~(((a|~(p))|((n|a)|p)))))) | ~((~((b&(p>(w|(b>a)))))&k)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((c|w)))|~((b&(p&(k>n)))))) | (((c>h)&(n>w))|p) | 1 | 1 | 0 | 0 | entailment |
(~((h|(~((n|b))>(w>(c>~(c))))))&(c&e)) | ~(b) | 1 | 1 | 1 | 1 | entailment |
~((~(~((c|w)))|~((b&(p&(k>n)))))) | ~(b) | 0 | 1 | 1 | 0 | not entailment |
(~((h|(~((n|b))>(w>(c>~(c))))))&(c&e)) | (((c>h)&(n>w))|p) | 0 | 1 | 0 | 0 | not entailment |
~(~((((e|k)>~((c&h)))>h))) | ~(~((h|(b|c)))) | 1 | 1 | 0 | 0 | entailment |
~(((e>c)|(n&b))) | (~((n&w))|~(~(((n>p)|e)))) | 1 | 0 | 0 | 0 | entailment |
~(~((((e|k)>~((c&h)))>h))) | (~((n&w))|~(~(((n>p)|e)))) | 0 | 1 | 0 | 0 | not entailment |
~(((e>c)|(n&b))) | ~(~((h|(b|c)))) | 0 | 1 | 0 | 0 | not entailment |
~(((n|(a|w))|~(h))) | ~(((~(c)&((a|w)>~(e)))&(a&k))) | 1 | 0 | 0 | 0 | entailment |
((p>b)>n) | (n|p) | 1 | 1 | 1 | 1 | entailment |
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