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 |
|---|---|---|---|---|---|---|
((p&l)&(p&p))
|
((~(~(~((~(l)&p))))&~((l&p)))>(p&l))
| 1 | 0 | 1 | 0 |
entailment
|
~(((l&(~(p)|l))&(~((l&(p|(p>l))))|p)))
|
~(~(~((p&((l|(l|(p&l)))&(p|l))))))
| 1 | 1 | 1 | 1 |
entailment
|
((p&l)&(p&p))
|
~(~(~((p&((l|(l|(p&l)))&(p|l))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((l&(~(p)|l))&(~((l&(p|(p>l))))|p)))
|
((~(~(~((~(l)&p))))&~((l&p)))>(p&l))
| 0 | 1 | 1 | 1 |
not entailment
|
((q|b)>~(b))
|
(~(b)&(((u|q)&~(((u|(q|u))|(q>q))))>b))
| 1 | 0 | 0 | 0 |
entailment
|
(u|u)
|
((u&u)|(b|((u&u)|q)))
| 1 | 0 | 0 | 0 |
entailment
|
((q|b)>~(b))
|
((u&u)|(b|((u&u)|q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u|u)
|
(~(b)&(((u|q)&~(((u|(q|u))|(q>q))))>b))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(q&~((u|~(b)))))
|
(q&(~(n)|((b|q)>(q&q))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(u)>u)
|
(n|(u|n))
| 1 | 1 | 0 | 0 |
entailment
|
(b&(q&~((u|~(b)))))
|
(n|(u|n))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(u)>u)
|
(q&(~(n)|((b|q)>(q&q))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&~((n&u)))
|
(((u>(u&n))&(b&u))>q)
| 1 | 0 | 0 | 0 |
entailment
|
(b|u)
|
(((n>u)|(u&n))|(n>((b|u)|~(n))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&~((n&u)))
|
(((n>u)|(u&n))|(n>((b|u)|~(n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(b|u)
|
(((u>(u&n))&(b&u))>q)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((~((n>u))&b)))&((~(n)|q)>b))
|
(((n>n)|q)&b)
| 1 | 1 | 1 | 0 |
entailment
|
(q|(q&b))
|
(u|q)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((~((n>u))&b)))&((~(n)|q)>b))
|
(u|q)
| 0 | 1 | 1 | 0 |
not entailment
|
(q|(q&b))
|
(((n>n)|q)&b)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((b>n)&((n|n)|(u&n))))&((b>b)|n))
|
(n>~((q&q)))
| 1 | 1 | 0 | 0 |
entailment
|
(n&u)
|
(((n|q)&((n>u)&u))|((n>u)&q))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((b>n)&((n|n)|(u&n))))&((b>b)|n))
|
(((n|q)&((n>u)&u))|((n>u)&q))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&u)
|
(n>~((q&q)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b>(~((n>q))>u)))
|
(q>u)
| 1 | 1 | 1 | 0 |
entailment
|
((~(b)&(b>u))&(u|(q|n)))
|
(((~(q)&u)&(((b|q)>n)|n))|(b>~(b)))
| 1 | 0 | 1 | 0 |
entailment
|
~((b>(~((n>q))>u)))
|
(((~(q)&u)&(((b|q)>n)|n))|(b>~(b)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(b)&(b>u))&(u|(q|n)))
|
(q>u)
| 0 | 1 | 1 | 0 |
not entailment
|
(u&((q|n)|q))
|
(n|(u|(~(u)&(q&b))))
| 1 | 0 | 0 | 0 |
entailment
|
(((b&u)>(((n|q)>n)>n))&~(n))
|
~(((q|u)&((n|n)&u)))
| 1 | 1 | 1 | 0 |
entailment
|
(u&((q|n)|q))
|
~(((q|u)&((n|n)&u)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((b&u)>(((n|q)>n)>n))&~(n))
|
(n|(u|(~(u)&(q&b))))
| 0 | 1 | 1 | 0 |
not entailment
|
(n&~(((n>u)|b)))
|
(((~(u)>~((q|n)))|n)>~((~((q|n))&b)))
| 1 | 0 | 0 | 0 |
entailment
|
~((b>u))
|
((b&(b|q))&~(~((b|b))))
| 1 | 0 | 0 | 0 |
entailment
|
(n&~(((n>u)|b)))
|
((b&(b|q))&~(~((b|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b>u))
|
(((~(u)>~((q|n)))|n)>~((~((q|n))&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(u)))
|
(u>n)
| 1 | 1 | 0 | 0 |
entailment
|
((n|q)&u)
|
(u&~(~(u)))
| 1 | 0 | 1 | 1 |
entailment
|
~(~(~(u)))
|
(u&~(~(u)))
| 0 | 1 | 1 | 0 |
not entailment
|
((n|q)&u)
|
(u>n)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((q|u)&(((b|b)|(u&b))>b)))
|
(((u>q)&q)>(n&(n|b)))
| 1 | 1 | 0 | 0 |
entailment
|
((n>~((q|q)))&u)
|
(u|b)
| 1 | 1 | 0 | 0 |
entailment
|
~(((q|u)&(((b|b)|(u&b))>b)))
|
(u|b)
| 0 | 1 | 1 | 1 |
not entailment
|
((n>~((q|q)))&u)
|
(((u>q)&q)>(n&(n|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(u)
|
(((q>n)&u)>((b|n)>(b|b)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(b)|(u&q))
|
(((u|~(b))|u)|((b|b)&q))
| 1 | 0 | 1 | 0 |
entailment
|
~(u)
|
(((u|~(b))|u)|((b|b)&q))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(b)|(u&q))
|
(((q>n)&u)>((b|n)>(b|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(n>(q&n))
|
(~(u)|(n>q))
| 1 | 0 | 0 | 0 |
entailment
|
(b&~(((b>n)>(u&(~(n)&q)))))
|
(q|(u>b))
| 1 | 1 | 1 | 0 |
entailment
|
(n>(q&n))
|
(q|(u>b))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&~(((b>n)>(u&(~(n)&q)))))
|
(~(u)|(n>q))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((q|u)>(u&u)))
|
(~((u>(u&q)))>~(u))
| 1 | 0 | 1 | 1 |
entailment
|
((u>((n|q)>((b&b)|u)))>n)
|
((~(n)&((n&q)|q))>(u&(b|n)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((q|u)>(u&u)))
|
((~(n)&((n&q)|q))>(u&(b|n)))
| 0 | 0 | 0 | 0 |
not entailment
|
((u>((n|q)>((b&b)|u)))>n)
|
(~((u>(u&q)))>~(u))
| 0 | 1 | 1 | 1 |
not entailment
|
~((u|(b|((u|b)&u))))
|
~(((~((b&(n|q)))&(n>(q&u)))&n))
| 1 | 0 | 0 | 0 |
entailment
|
(q&n)
|
((q&(u|n))|n)
| 1 | 0 | 0 | 0 |
entailment
|
~((u|(b|((u|b)&u))))
|
((q&(u|n))|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(q&n)
|
~(((~((b&(n|q)))&(n>(q&u)))&n))
| 0 | 0 | 0 | 0 |
not entailment
|
((u>b)|n)
|
(((~(((q&b)&q))&u)|~(n))>(u>(n|b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((n|~((u&~(n))))&u))
|
(n>~(u))
| 1 | 1 | 1 | 1 |
entailment
|
((u>b)|n)
|
(n>~(u))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((n|~((u&~(n))))&u))
|
(((~(((q&b)&q))&u)|~(n))>(u>(n|b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|b)&q)
|
((q>(n>(n&b)))>(q|b))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(n)|b))|q))
|
((((q&b)&b)&(b&n))>u)
| 1 | 1 | 0 | 0 |
entailment
|
((b|b)&q)
|
((((q&b)&b)&(b&n))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~(n)|b))|q))
|
((q>(n>(n&b)))>(q|b))
| 0 | 1 | 1 | 0 |
not entailment
|
((a|(a>a))>((a&a)&a))
|
(a|a)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((~(a)|~((a>a)))>(a&a)))|~(a))
|
~(a)
| 1 | 1 | 1 | 1 |
entailment
|
((a|(a>a))>((a&a)&a))
|
~(a)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((~(a)|~((a>a)))>(a&a)))|~(a))
|
(a|a)
| 0 | 1 | 1 | 1 |
not entailment
|
((a&(a|((a>a)>a)))&(a|~(a)))
|
(a|((a>a)>(~(a)>a)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(~((a&((~(a)&a)>a)))))
|
((a>a)&~((a|a)))
| 1 | 1 | 1 | 1 |
entailment
|
((a&(a|((a>a)>a)))&(a|~(a)))
|
((a>a)&~((a|a)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~((a&((~(a)&a)>a)))))
|
(a|((a>a)>(~(a)>a)))
| 0 | 1 | 1 | 1 |
not entailment
|
(a&a)
|
((a&~(a))|(a|((a>a)&a)))
| 1 | 0 | 1 | 0 |
entailment
|
((((a&a)|(a>a))>~((a|a)))&~(a))
|
(a>~((a|a)))
| 1 | 1 | 1 | 1 |
entailment
|
(a&a)
|
(a>~((a|a)))
| 0 | 0 | 1 | 0 |
not entailment
|
((((a&a)|(a>a))>~((a|a)))&~(a))
|
((a&~(a))|(a|((a>a)&a)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(((o|k)|n))
|
(((k|(k&o))>z)|~(~(((f|~(t))&~(f)))))
| 1 | 0 | 0 | 0 |
entailment
|
((y|n)>f)
|
((((z|(z>(k|n)))|y)&(n|n))|((y>f)|z))
| 1 | 0 | 0 | 0 |
entailment
|
~(((o|k)|n))
|
((((z|(z>(k|n)))|y)&(n|n))|((y>f)|z))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|n)>f)
|
(((k|(k&o))>z)|~(~(((f|~(t))&~(f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((~((p>k))&f)&((t|t)&(f|~(z)))))&n)
|
(z>(f>(((t>((y>o)|f))>f)>(n&z))))
| 1 | 1 | 0 | 0 |
entailment
|
~((f>((y&o)&(t>z))))
|
(((z|t)>(z|f))|((o|(t&f))&(k>k)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((~((p>k))&f)&((t|t)&(f|~(z)))))&n)
|
(((z|t)>(z|f))|((o|(t&f))&(k>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f>((y&o)&(t>z))))
|
(z>(f>(((t>((y>o)|f))>f)>(n&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((f&~(o))))
|
(o>((~(n)&(((k|n)&~(f))&(z&n)))&y))
| 1 | 0 | 0 | 0 |
entailment
|
((z&n)&(f|((o>(p&o))>(k|(y>z)))))
|
(z|n)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((f&~(o))))
|
(z|n)
| 0 | 1 | 0 | 0 |
not entailment
|
((z&n)&(f|((o>(p&o))>(k|(y>z)))))
|
(o>((~(n)&(((k|n)&~(f))&(z&n)))&y))
| 0 | 0 | 1 | 0 |
not entailment
|
(p|(n&(k|p)))
|
((~(z)&~(p))>n)
| 1 | 0 | 0 | 0 |
entailment
|
(k&f)
|
(t|(~((o|k))>~(z)))
| 1 | 0 | 0 | 0 |
entailment
|
(p|(n&(k|p)))
|
(t|(~((o|k))>~(z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&f)
|
((~(z)&~(p))>n)
| 0 | 0 | 0 | 0 |
not entailment
|
(o&(t&p))
|
((z>~(~(t)))|~(k))
| 1 | 0 | 0 | 0 |
entailment
|
(((y&(~(k)&p))>((~(p)>f)|(p&(o&t))))>n)
|
((n&p)|n)
| 1 | 1 | 1 | 1 |
entailment
|
(o&(t&p))
|
((n&p)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&(~(k)&p))>((~(p)>f)|(p&(o&t))))>n)
|
((z>~(~(t)))|~(k))
| 0 | 1 | 0 | 0 |
not entailment
|
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