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 |
|---|---|---|---|---|---|---|
(~((~((t>b))|~(t)))&~((~(x)&~(q)))) | (e>q) | 0 | 1 | 0 | 0 | not entailment |
~((~((b&(~(t)&((t|t)&t))))>~(q))) | (~(~(((b>v)|t)))|(((e>v)|~(t))&e)) | 0 | 1 | 0 | 0 | not entailment |
(v&t) | (~(((t|q)&e))|((q>b)|t)) | 1 | 0 | 0 | 0 | entailment |
((t>q)&(((v&q)>e)&x)) | (((x&x)&(x|x))|((v&x)|~(~((t>x))))) | 1 | 0 | 1 | 0 | entailment |
(v&t) | (((x&x)&(x|x))|((v&x)|~(~((t>x))))) | 0 | 0 | 0 | 0 | not entailment |
((t>q)&(((v&q)>e)&x)) | (~(((t|q)&e))|((q>b)|t)) | 0 | 0 | 0 | 0 | not entailment |
~((b>(((q>~((e|(v>b))))&~(~(v)))&x))) | (x>(b&((((b|t)|x)&~((e|x)))>x))) | 1 | 1 | 0 | 0 | entailment |
~((~(~(~((t>q))))>~((((b|x)>t)|q)))) | ((t|x)|~((v>q))) | 1 | 1 | 0 | 0 | entailment |
~((b>(((q>~((e|(v>b))))&~(~(v)))&x))) | ((t|x)|~((v>q))) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(~((t>q))))>~((((b|x)>t)|q)))) | (x>(b&((((b|t)|x)&~((e|x)))>x))) | 0 | 1 | 0 | 0 | not entailment |
~(e) | ((t&(e&v))>~(~(b))) | 1 | 0 | 0 | 0 | entailment |
(~(b)&((q>((~(((x>t)|v))&v)|(e>x)))>b)) | (((v>v)>((t&t)&x))|(~((q|b))>(e&q))) | 1 | 1 | 1 | 0 | entailment |
~(e) | (((v>v)>((t&t)&x))|(~((q|b))>(e&q))) | 0 | 0 | 0 | 0 | not entailment |
(~(b)&((q>((~(((x>t)|v))&v)|(e>x)))>b)) | ((t&(e&v))>~(~(b))) | 0 | 1 | 1 | 0 | not entailment |
((v>~(b))&(x&b)) | ((~(((q>v)&(e&b)))|v)>b) | 1 | 0 | 0 | 0 | entailment |
~((~(t)|(((b|x)&x)|(~(t)&(e|(e&t)))))) | ((((q|b)>(b>x))|(~(v)&(x&e)))>((t|x)&t)) | 1 | 1 | 0 | 0 | entailment |
((v>~(b))&(x&b)) | ((((q|b)>(b>x))|(~(v)&(x&e)))>((t|x)&t)) | 0 | 0 | 0 | 0 | not entailment |
~((~(t)|(((b|x)&x)|(~(t)&(e|(e&t)))))) | ((~(((q>v)&(e&b)))|v)>b) | 0 | 1 | 0 | 0 | not entailment |
(((v>q)>(q>(e>(t&(b&v)))))&(((v>e)>e)&v)) | ~(((~(((~((q>q))>b)>v))&b)&~((e&x)))) | 1 | 1 | 0 | 0 | entailment |
~((x|v)) | ((t>t)&(v>(b|b))) | 1 | 0 | 0 | 0 | entailment |
(((v>q)>(q>(e>(t&(b&v)))))&(((v>e)>e)&v)) | ((t>t)&(v>(b|b))) | 0 | 1 | 1 | 0 | not entailment |
~((x|v)) | ~(((~(((~((q>q))>b)>v))&b)&~((e&x)))) | 0 | 0 | 0 | 0 | not entailment |
~((((x>b)>q)>v)) | (v>((q>(v>(x|(q&t))))&(x&(q&b)))) | 1 | 0 | 0 | 0 | entailment |
(~(~((((x>~((x&q)))>(e>b))>v)))&(x&q)) | ((~(~(~((e|q))))>~(t))|~((e|x))) | 1 | 1 | 0 | 0 | entailment |
~((((x>b)>q)>v)) | ((~(~(~((e|q))))>~(t))|~((e|x))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((((x>~((x&q)))>(e>b))>v)))&(x&q)) | (v>((q>(v>(x|(q&t))))&(x&(q&b)))) | 0 | 1 | 0 | 0 | not entailment |
(w&(w>(((w&w)&w)&w))) | (((p|(w&w))>(~(((w>(w>w))|(w&w)))|w))&w) | 1 | 0 | 0 | 0 | entailment |
((p|~((p>(p&p))))&~(~((p&p)))) | (p&((p&p)>p)) | 1 | 1 | 1 | 1 | entailment |
(w&(w>(((w&w)&w)&w))) | (p&((p&p)>p)) | 0 | 1 | 0 | 0 | not entailment |
((p|~((p>(p&p))))&~(~((p&p)))) | (((p|(w&w))>(~(((w>(w>w))|(w&w)))|w))&w) | 0 | 0 | 0 | 0 | not entailment |
((p>w)&(w&w)) | (((p|w)&~((w&p)))>w) | 1 | 0 | 1 | 0 | entailment |
~(((w&p)|~((p|p)))) | ((~((w&~(p)))|p)|(~((w|p))|p)) | 1 | 0 | 1 | 1 | entailment |
((p>w)&(w&w)) | ((~((w&~(p)))|p)|(~((w|p))|p)) | 0 | 0 | 1 | 0 | not entailment |
~(((w&p)|~((p|p)))) | (((p|w)&~((w&p)))>w) | 0 | 1 | 1 | 0 | not entailment |
(((~(w)|w)|p)>(w&p)) | ((w|(p>~((p|~(~(~(p)))))))&(w|w)) | 1 | 0 | 1 | 1 | entailment |
((w>(p>~(p)))&(p&p)) | (~((w&p))&p) | 1 | 1 | 1 | 1 | entailment |
(((~(w)|w)|p)>(w&p)) | (~((w&p))&p) | 0 | 1 | 1 | 1 | not entailment |
((w>(p>~(p)))&(p&p)) | ((w|(p>~((p|~(~(~(p)))))))&(w|w)) | 0 | 0 | 1 | 0 | not entailment |
(~(w)&p) | (((w|p)&(p|p))&((p&w)>((w&(p|p))>(w&w)))) | 1 | 0 | 1 | 0 | entailment |
~(~((~(p)&~((w>(w>p)))))) | (((w&~(w))>~(w))>(((w|p)|(~(w)|p))>w)) | 1 | 0 | 1 | 0 | entailment |
(~(w)&p) | (((w&~(w))>~(w))>(((w|p)|(~(w)|p))>w)) | 0 | 0 | 1 | 0 | not entailment |
~(~((~(p)&~((w>(w>p)))))) | (((w|p)&(p|p))&((p&w)>((w&(p|p))>(w&w)))) | 0 | 0 | 1 | 0 | not entailment |
(p&(p|w)) | (((p>p)&(~((p|w))&w))|((w|w)|~((p>w)))) | 1 | 0 | 1 | 0 | entailment |
~(~(((p&(w|(p>(w>w))))>((w&w)|w)))) | (((p|w)&~(~(w)))|~((p|w))) | 1 | 1 | 1 | 1 | entailment |
(p&(p|w)) | (((p|w)&~(~(w)))|~((p|w))) | 0 | 0 | 1 | 0 | not entailment |
~(~(((p&(w|(p>(w>w))))>((w&w)|w)))) | (((p>p)&(~((p|w))&w))|((w|w)|~((p>w)))) | 0 | 0 | 1 | 1 | not entailment |
~(~(w)) | (p>((((w>((p>p)|w))|(p&w))|~(w))&w)) | 1 | 0 | 0 | 0 | entailment |
(~(w)&(p|p)) | ~((p>w)) | 1 | 1 | 1 | 1 | entailment |
~(~(w)) | ~((p>w)) | 0 | 1 | 0 | 0 | not entailment |
(~(w)&(p|p)) | (p>((((w>((p>p)|w))|(p&w))|~(w))&w)) | 0 | 0 | 1 | 0 | not entailment |
((p>w)>(w&w)) | ((p>w)>w) | 1 | 1 | 1 | 1 | entailment |
~((w|p)) | ~(((w>w)>(p&w))) | 1 | 0 | 1 | 0 | entailment |
((p>w)>(w&w)) | ~(((w>w)>(p&w))) | 0 | 0 | 1 | 0 | not entailment |
~((w|p)) | ((p>w)>w) | 0 | 1 | 1 | 0 | not entailment |
(k&((o|r)&~(w))) | (b>k) | 1 | 1 | 0 | 0 | entailment |
~((l|~((f&(p&~(k)))))) | ~(~(((s|~((q|l)))|f))) | 1 | 1 | 0 | 0 | entailment |
(k&((o|r)&~(w))) | ~(~(((s|~((q|l)))|f))) | 0 | 0 | 0 | 0 | not entailment |
~((l|~((f&(p&~(k)))))) | (b>k) | 0 | 1 | 0 | 0 | not entailment |
((k|(((q&w)&f)&r))|k) | (k|q) | 1 | 1 | 1 | 1 | entailment |
(s&~(~((w>o)))) | ((k&w)>(r|((s|p)&((p>o)|(b&(b&q)))))) | 1 | 0 | 0 | 0 | entailment |
((k|(((q&w)&f)&r))|k) | ((k&w)>(r|((s|p)&((p>o)|(b&(b&q)))))) | 0 | 0 | 0 | 0 | not entailment |
(s&~(~((w>o)))) | (k|q) | 0 | 1 | 0 | 0 | not entailment |
(k&(k&b)) | (((q>~(r))|k)>((p>k)|(q&~(r)))) | 1 | 0 | 0 | 0 | entailment |
(~((p>(w>(s|r))))&(p|p)) | ~((k&s)) | 1 | 1 | 0 | 0 | entailment |
(k&(k&b)) | ~((k&s)) | 0 | 1 | 0 | 0 | not entailment |
(~((p>(w>(s|r))))&(p|p)) | (((q>~(r))|k)>((p>k)|(q&~(r)))) | 0 | 0 | 0 | 0 | not entailment |
(w&~(~((k&s)))) | (s&s) | 1 | 1 | 1 | 1 | entailment |
~(f) | (((r|(w>f))|b)>~((f&r))) | 1 | 0 | 0 | 0 | entailment |
(w&~(~((k&s)))) | (((r|(w>f))|b)>~((f&r))) | 0 | 0 | 0 | 0 | not entailment |
~(f) | (s&s) | 0 | 1 | 0 | 0 | not entailment |
((o|r)&~(~(((b|b)&~(((f&p)|l)))))) | (~((q>w))>(r>(l>((b|b)>(o&p))))) | 1 | 1 | 0 | 0 | entailment |
((s>((p>o)>s))&o) | (~(((f|(f|p))>(o|(k>w))))>q) | 1 | 0 | 0 | 0 | entailment |
((o|r)&~(~(((b|b)&~(((f&p)|l)))))) | (~(((f|(f|p))>(o|(k>w))))>q) | 0 | 1 | 0 | 0 | not entailment |
((s>((p>o)>s))&o) | (~((q>w))>(r>(l>((b|b)>(o&p))))) | 0 | 0 | 0 | 0 | not entailment |
~((f&f)) | ((b|p)|~(~(((f>q)|q)))) | 1 | 0 | 0 | 0 | entailment |
(((~((b&l))>~((s|r)))&(l&~(w)))|l) | ((l|p)&(((r>b)&p)>(o>((s|p)|(r&p))))) | 1 | 1 | 0 | 0 | entailment |
~((f&f)) | ((l|p)&(((r>b)&p)>(o>((s|p)|(r&p))))) | 0 | 0 | 0 | 0 | not entailment |
(((~((b&l))>~((s|r)))&(l&~(w)))|l) | ((b|p)|~(~(((f>q)|q)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((~(s)>l)>s)))) | (s>(f&o)) | 1 | 1 | 0 | 0 | entailment |
~(~(~((b>w)))) | (b&(w>(l&b))) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((~(s)>l)>s)))) | (b&(w>(l&b))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((b>w)))) | (s>(f&o)) | 0 | 1 | 0 | 0 | not entailment |
((b&r)&~(((s|q)&r))) | ((k|(b|f))|(o|q)) | 1 | 1 | 0 | 0 | entailment |
((b>p)&p) | ((f|(l|k))>(((o|l)>p)|l)) | 1 | 0 | 0 | 0 | entailment |
((b&r)&~(((s|q)&r))) | ((f|(l|k))>(((o|l)>p)|l)) | 0 | 0 | 0 | 0 | not entailment |
((b>p)&p) | ((k|(b|f))|(o|q)) | 0 | 0 | 0 | 0 | not entailment |
((w>l)&~(~(~((b|(p>o)))))) | ((p|s)&p) | 1 | 1 | 0 | 0 | entailment |
~((b|(~(r)>(w|r)))) | ~(((~(~(k))>(b|q))&r)) | 1 | 0 | 0 | 0 | entailment |
((w>l)&~(~(~((b|(p>o)))))) | ~(((~(~(k))>(b|q))&r)) | 0 | 1 | 0 | 0 | not entailment |
~((b|(~(r)>(w|r)))) | ((p|s)&p) | 0 | 1 | 0 | 0 | not entailment |
(s&(s&(f|w))) | (s|(p|l)) | 1 | 1 | 0 | 0 | entailment |
~((o>f)) | ((f&k)>w) | 1 | 1 | 0 | 0 | entailment |
(s&(s&(f|w))) | ((f&k)>w) | 0 | 1 | 0 | 0 | not entailment |
~((o>f)) | (s|(p|l)) | 0 | 1 | 0 | 0 | not entailment |
(k&l) | (w>l) | 1 | 1 | 0 | 0 | entailment |
~((((w&q)&q)>f)) | (q|p) | 1 | 1 | 0 | 0 | entailment |
(k&l) | (q|p) | 0 | 1 | 0 | 0 | not entailment |
~((((w&q)&q)>f)) | (w>l) | 0 | 1 | 0 | 0 | not entailment |
((w>(s&r))&p) | (l>(l>(k|p))) | 1 | 1 | 0 | 0 | entailment |
(q&w) | (((p|w)|r)&w) | 1 | 0 | 0 | 0 | entailment |
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