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 |
---|---|---|---|---|---|---|
~((s|(p|(k&k)))) | ((s&~(~(u)))>~((v&d))) | 1 | 0 | 0 | 0 | entailment |
(~(p)&(p|(d&d))) | ((s&~(~(u)))>~((v&d))) | 0 | 0 | 0 | 0 | not entailment |
~((s|(p|(k&k)))) | (((k|v)|(d|p))|(u|((s&(s|k))|s))) | 0 | 0 | 0 | 0 | not entailment |
~(~(v)) | (((v>s)&((z>p)&p))|(v|z)) | 1 | 0 | 0 | 0 | entailment |
(~(~((u&s)))|((d&u)&(v|(s&~(i))))) | ((((k>p)|d)>u)&u) | 1 | 1 | 0 | 0 | entailment |
~(~(v)) | ((((k>p)|d)>u)&u) | 0 | 0 | 0 | 0 | not entailment |
(~(~((u&s)))|((d&u)&(v|(s&~(i))))) | (((v>s)&((z>p)&p))|(v|z)) | 0 | 1 | 0 | 0 | not entailment |
~((~((s|((i|d)>u)))>p)) | ((((d>u)|p)&u)>v) | 1 | 1 | 0 | 0 | entailment |
(d&k) | ((((s>i)|i)|s)>(d&k)) | 1 | 0 | 0 | 0 | entailment |
~((~((s|((i|d)>u)))>p)) | ((((s>i)|i)|s)>(d&k)) | 0 | 1 | 0 | 0 | not entailment |
(d&k) | ((((d>u)|p)&u)>v) | 0 | 0 | 0 | 0 | not entailment |
~((d|~(~((z>(~((k>v))|p)))))) | ((k|(v>(p>k)))|d) | 1 | 1 | 1 | 0 | entailment |
((s>s)&~(((i&i)>(~(p)&(i|(i>i)))))) | (v|i) | 1 | 1 | 0 | 0 | entailment |
~((d|~(~((z>(~((k>v))|p)))))) | (v|i) | 0 | 1 | 0 | 0 | not entailment |
((s>s)&~(((i&i)>(~(p)&(i|(i>i)))))) | ((k|(v>(p>k)))|d) | 0 | 1 | 0 | 0 | not entailment |
((p>d)&z) | ((z|z)|(s>d)) | 1 | 0 | 0 | 0 | entailment |
~((((u&v)>k)|(i&u))) | (~(~(((z|~((i>v)))&u)))>((i&u)>v)) | 1 | 0 | 0 | 0 | entailment |
((p>d)&z) | (~(~(((z|~((i>v)))&u)))>((i&u)>v)) | 0 | 0 | 0 | 0 | not entailment |
~((((u&v)>k)|(i&u))) | ((z|z)|(s>d)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(v)&~(((i|d)>i))))) | ((d|u)|(u&((v&d)>v))) | 1 | 1 | 0 | 0 | entailment |
((v>k)&v) | ((((p&u)&z)>s)>(~(p)>k)) | 1 | 0 | 0 | 0 | entailment |
~(~((~(v)&~(((i|d)>i))))) | ((((p&u)&z)>s)>(~(p)>k)) | 0 | 1 | 0 | 0 | not entailment |
((v>k)&v) | ((d|u)|(u&((v&d)>v))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~((u&~(d)))&s))|d)) | ~((z&(z>d))) | 1 | 1 | 0 | 0 | entailment |
~(((s&~(~(p)))>(((k|p)|s)>(v|~(u))))) | (~(~((d>(s>d))))&p) | 1 | 1 | 0 | 0 | entailment |
~((~((~((u&~(d)))&s))|d)) | (~(~((d>(s>d))))&p) | 0 | 1 | 0 | 0 | not entailment |
~(((s&~(~(p)))>(((k|p)|s)>(v|~(u))))) | ~((z&(z>d))) | 0 | 1 | 0 | 0 | not entailment |
~((((k|p)|~(((u&z)&s)))|(i|i))) | (~((s|i))>~(~(s))) | 1 | 1 | 1 | 0 | entailment |
(~(s)&(v&p)) | (p|~((u>u))) | 1 | 1 | 0 | 0 | entailment |
~((((k|p)|~(((u&z)&s)))|(i|i))) | (p|~((u>u))) | 0 | 1 | 1 | 0 | not entailment |
(~(s)&(v&p)) | (~((s|i))>~(~(s))) | 0 | 0 | 0 | 0 | not entailment |
((~(p)&(u&(u|k)))&((k|(u&i))&v)) | ((v|(z>s))>((((s|i)&u)>(~(d)|v))|(s&s))) | 1 | 0 | 0 | 0 | entailment |
(((d&p)|d)&((z&(k>s))|(i&~((k|(v&p)))))) | (d|(((d&s)&v)|~(~((u&k))))) | 1 | 1 | 0 | 0 | entailment |
((~(p)&(u&(u|k)))&((k|(u&i))&v)) | (d|(((d&s)&v)|~(~((u&k))))) | 0 | 1 | 0 | 0 | not entailment |
(((d&p)|d)&((z&(k>s))|(i&~((k|(v&p)))))) | ((v|(z>s))>((((s|i)&u)>(~(d)|v))|(s&s))) | 0 | 1 | 0 | 0 | not entailment |
~((r>~((s&s)))) | ((r|s)&~(((s&s)>(r&(s>~(s)))))) | 1 | 0 | 1 | 0 | entailment |
~(s) | ~(~(~((s&(r>r))))) | 1 | 0 | 0 | 0 | entailment |
~((r>~((s&s)))) | ~(~(~((s&(r>r))))) | 0 | 0 | 1 | 0 | not entailment |
~(s) | ((r|s)&~(((s&s)>(r&(s>~(s)))))) | 0 | 0 | 0 | 0 | not entailment |
((s|(r>~(((r>r)>s))))>s) | (r|s) | 1 | 1 | 1 | 1 | entailment |
(~(~(((s&r)>(r>r))))&~((s|s))) | (~(r)|~((r&s))) | 1 | 1 | 1 | 1 | entailment |
((s|(r>~(((r>r)>s))))>s) | (~(r)|~((r&s))) | 0 | 1 | 1 | 1 | not entailment |
(~(~(((s&r)>(r>r))))&~((s|s))) | (r|s) | 0 | 1 | 1 | 0 | not entailment |
~((~(s)>~(((~((s|r))&(s|s))|r)))) | (~((s>r))|~(s)) | 1 | 1 | 1 | 1 | entailment |
(s&((s|s)|r)) | (r>s) | 1 | 1 | 1 | 0 | entailment |
~((~(s)>~(((~((s|r))&(s|s))|r)))) | (r>s) | 0 | 1 | 1 | 1 | not entailment |
(s&((s|s)|r)) | (~((s>r))|~(s)) | 0 | 0 | 1 | 0 | not entailment |
~((((s>s)&s)>(((s&s)>r)|(r&s)))) | (~(~((s|r)))&((r>r)>(s|(s&(r&s))))) | 1 | 0 | 1 | 0 | entailment |
((r|((r>~(s))|s))>r) | ~((((r|s)>((~(r)&s)&s))&(r>s))) | 1 | 0 | 1 | 1 | entailment |
~((((s>s)&s)>(((s&s)>r)|(r&s)))) | ~((((r|s)>((~(r)&s)&s))&(r>s))) | 0 | 1 | 1 | 0 | not entailment |
((r|((r>~(s))|s))>r) | (~(~((s|r)))&((r>r)>(s|(s&(r&s))))) | 0 | 0 | 1 | 1 | not entailment |
((r|r)&(((r|s)>s)&s)) | (((s>s)|~(s))>(r|s)) | 1 | 1 | 1 | 1 | entailment |
~((r&r)) | ~(r) | 1 | 1 | 1 | 1 | entailment |
((r|r)&(((r|s)>s)&s)) | ~(r) | 0 | 1 | 1 | 1 | not entailment |
~((r&r)) | (((s>s)|~(s))>(r|s)) | 0 | 0 | 0 | 0 | not entailment |
((r|(r|s))&((r>s)|r)) | (((s>r)&(~(r)&r))|(r|s)) | 1 | 0 | 1 | 0 | entailment |
~((r|r)) | (r>s) | 1 | 1 | 0 | 0 | entailment |
((r|(r|s))&((r>s)|r)) | (r>s) | 0 | 1 | 1 | 1 | not entailment |
~((r|r)) | (((s>r)&(~(r)&r))|(r|s)) | 0 | 0 | 0 | 0 | not entailment |
((r|(s&(~((s>s))|r)))&(~(~(r))|(r>r))) | (r&r) | 1 | 1 | 1 | 1 | entailment |
~(~(((r|s)&~(r)))) | (((r&~((r&(r&s))))>(s&r))|s) | 1 | 0 | 1 | 1 | entailment |
((r|(s&(~((s>s))|r)))&(~(~(r))|(r>r))) | (((r&~((r&(r&s))))>(s&r))|s) | 0 | 1 | 1 | 1 | not entailment |
~(~(((r|s)&~(r)))) | (r&r) | 0 | 1 | 1 | 1 | not entailment |
((s>(r&s))>((s&(s&s))|s)) | ((~(s)&(s&(r&s)))|(r|(s&s))) | 1 | 0 | 1 | 0 | entailment |
((s|(r&s))>~((s>s))) | ~(((~((s&s))|r)>~((~(r)|((s&s)>s))))) | 1 | 0 | 1 | 0 | entailment |
((s>(r&s))>((s&(s&s))|s)) | ~(((~((s&s))|r)>~((~(r)|((s&s)>s))))) | 0 | 0 | 1 | 0 | not entailment |
((s|(r&s))>~((s>s))) | ((~(s)&(s&(r&s)))|(r|(s&s))) | 0 | 0 | 1 | 0 | not entailment |
((((r&(r|s))&s)&r)&(~(~((r>r)))|s)) | (r>s) | 1 | 1 | 1 | 1 | entailment |
~(s) | ~((((s&r)|r)&s)) | 1 | 0 | 0 | 0 | entailment |
((((r&(r|s))&s)&r)&(~(~((r>r)))|s)) | ~((((s&r)|r)&s)) | 0 | 1 | 1 | 0 | not entailment |
((r|r)|~(s)) | (s>r) | 1 | 1 | 1 | 1 | entailment |
~((s>~((r>(s&(r&(r|r))))))) | ~(~(s)) | 1 | 1 | 1 | 1 | entailment |
((r|r)|~(s)) | ~(~(s)) | 0 | 1 | 1 | 0 | not entailment |
~((s>~((r>(s&(r&(r|r))))))) | (s>r) | 0 | 1 | 1 | 0 | not entailment |
(r|(((r&r)&r)&~(r))) | (((s&s)>~((s|r)))>(r|(r&(~(r)|s)))) | 1 | 0 | 0 | 0 | entailment |
~(r) | ((r|r)>~((r|((~(s)>(s|s))|(s>(s|r)))))) | 1 | 0 | 0 | 0 | entailment |
(r|(((r&r)&r)&~(r))) | ((r|r)>~((r|((~(s)>(s|s))|(s>(s|r)))))) | 0 | 0 | 0 | 0 | not entailment |
~(r) | (((s&s)>~((s|r)))>(r|(r&(~(r)|s)))) | 0 | 0 | 0 | 0 | not entailment |
((s&(((s|s)>(r&r))&(r&s)))&~(~(r))) | (((s|(s|r))&(((s>r)>(r|r))|r))&(s&(r&s))) | 1 | 0 | 1 | 0 | entailment |
(((s|r)>~(s))&~(r)) | ~((((~(s)>s)&(s|s))|s)) | 1 | 0 | 1 | 1 | entailment |
((s&(((s|s)>(r&r))&(r&s)))&~(~(r))) | ~((((~(s)>s)&(s|s))|s)) | 0 | 1 | 1 | 1 | not entailment |
(((s|r)>~(s))&~(r)) | (((s|(s|r))&(((s>r)>(r|r))|r))&(s&(r&s))) | 0 | 0 | 1 | 0 | not entailment |
~((r|(s&s))) | (r>s) | 1 | 1 | 1 | 0 | entailment |
(r&(((r&r)&r)>(r|s))) | (~((~((s>((s>s)>r)))&r))&(r&(r&(s>s)))) | 1 | 0 | 1 | 0 | entailment |
~((r|(s&s))) | (~((~((s>((s>s)>r)))&r))&(r&(r&(s>s)))) | 0 | 0 | 1 | 0 | not entailment |
(r&(((r&r)&r)>(r|s))) | (r>s) | 0 | 1 | 1 | 1 | not entailment |
~(~(~((f>((k&y)>l))))) | (((k>f)>f)|y) | 1 | 1 | 1 | 0 | entailment |
~((k|y)) | ((n&k)|~((f&y))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((f>((k&y)>l))))) | ((n&k)|~((f&y))) | 0 | 1 | 0 | 0 | not entailment |
~((k|y)) | (((k>f)>f)|y) | 0 | 0 | 0 | 0 | not entailment |
((y|(~((n&f))&~(d)))&~((l|(n>l)))) | (((k&y)|k)>(~(l)&k)) | 1 | 1 | 0 | 0 | entailment |
(((y>e)&l)&(y&((k|f)|y))) | (y&((k&y)|(e|(k&k)))) | 1 | 1 | 1 | 1 | entailment |
((y|(~((n&f))&~(d)))&~((l|(n>l)))) | (y&((k&y)|(e|(k&k)))) | 0 | 1 | 0 | 0 | not entailment |
(((y>e)&l)&(y&((k|f)|y))) | (((k&y)|k)>(~(l)&k)) | 0 | 1 | 1 | 0 | not entailment |
~((~(y)&(~((f>d))|(~(f)>((n|k)|y))))) | ((n|(d&y))|((f>y)|y)) | 1 | 1 | 1 | 0 | entailment |
~(~(l)) | ~(~(((f|(~(~(f))>~((k|n))))&(f>l)))) | 1 | 0 | 0 | 0 | entailment |
~((~(y)&(~((f>d))|(~(f)>((n|k)|y))))) | ~(~(((f|(~(~(f))>~((k|n))))&(f>l)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(l)) | ((n|(d&y))|((f>y)|y)) | 0 | 0 | 0 | 0 | not entailment |
~((~(f)>k)) | (~(~(y))|(y|(~(d)>~((d|(f&k)))))) | 1 | 0 | 0 | 0 | entailment |
~((~(~(~(l)))|(~(~(y))|(d|e)))) | ((k|(l>~(d)))&(d>(e>~(((n&e)>~(k)))))) | 1 | 0 | 0 | 0 | entailment |
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