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&d)&~(~(y)))&((x&(a&t))&((y|n)>d)))
|
((~(((y>(p>y))&a))>(a&y))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(w&p)
|
(((d|n)&d)|(n|o))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((n&(n&b)))&(b&(k|q)))
|
(~((r>~(n)))>(~(k)>(r>(f&m))))
| 1 | 0 | 0 | 0 |
entailment
|
((((k>~((k>r)))>n)&((p&p)&n))&(r&(m|p)))
|
~(~(p))
| 1 | 1 | 1 | 1 |
entailment
|
(~((n&(n&b)))&(b&(k|q)))
|
~(~(p))
| 0 | 1 | 0 | 0 |
not entailment
|
((((k>~((k>r)))>n)&((p&p)&n))&(r&(m|p)))
|
(~((r>~(n)))>(~(k)>(r>(f&m))))
| 0 | 1 | 0 | 0 |
not entailment
|
((p>~(q))&((q&(b>p))&((n&k)|q)))
|
~(((((r|k)>(p>k))>~(q))&(q&(k>(q&f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|(k>k))>(b&(p&n)))&~(~(~(f))))
|
((k>(n|k))&((k>p)>(~(p)>m)))
| 1 | 1 | 0 | 0 |
entailment
|
((p>~(q))&((q&(b>p))&((n&k)|q)))
|
((k>(n|k))&((k>p)>(~(p)>m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((r|(k>k))>(b&(p&n)))&~(~(~(f))))
|
~(((((r|k)>(p>k))>~(q))&(q&(k>(q&f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(p))&((r&(m|(m>q)))&((k&m)|k)))
|
(~(f)>(((r>f)>r)>p))
| 1 | 1 | 0 | 0 |
entailment
|
~(((q>r)>p))
|
(~((n>((~(n)>p)&((n&(p>f))|~(b)))))>q)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(p))&((r&(m|(m>q)))&((k&m)|k)))
|
(~((n>((~(n)>p)&((n&(p>f))|~(b)))))>q)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((q>r)>p))
|
(~(f)>(((r>f)>r)>p))
| 0 | 0 | 0 | 0 |
not entailment
|
((m>k)|~(~((m>~((b>m))))))
|
(p|(m>((m>r)>k)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((((n>q)&f)|((k>k)>p)))))
|
(f>~((n&p)))
| 1 | 1 | 1 | 0 |
entailment
|
((m>k)|~(~((m>~((b>m))))))
|
(f>~((n&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((((n>q)&f)|((k>k)>p)))))
|
(p|(m>((m>r)>k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((n|(m|f)))))
|
((b&(k|f))|((k|~(n))|m))
| 1 | 0 | 0 | 0 |
entailment
|
~((r|(q>p)))
|
(~(q)>~(b))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((n|(m|f)))))
|
(~(q)>~(b))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|(q>p)))
|
((b&(k|f))|((k|~(n))|m))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((f|q)>(r|(k>f))))
|
(m>((r&(q>n))>q))
| 1 | 1 | 0 | 0 |
entailment
|
~(((b|p)|n))
|
(~((f|(q&n)))>~(p))
| 1 | 0 | 0 | 0 |
entailment
|
~(((f|q)>(r|(k>f))))
|
(~((f|(q&n)))>~(p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((b|p)|n))
|
(m>((r&(q>n))>q))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&r)
|
((((n|m)|n)|(r|n))|b)
| 1 | 0 | 0 | 0 |
entailment
|
~((((n&b)|((~(b)>k)|r))|r))
|
~(~(((r&(n>(r>b)))>~(~(~(r))))))
| 1 | 0 | 1 | 0 |
entailment
|
(n&r)
|
~(~(((r&(n>(r>b)))>~(~(~(r))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((n&b)|((~(b)>k)|r))|r))
|
((((n|m)|n)|(r|n))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(~(n)|p))
|
~(~((~(((k|p)|n))|((b|p)|~((f&q))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((r|p))
|
(~((p&p))&(p>~((k>(f|r)))))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(~(n)|p))
|
(~((p&p))&(p>~((k>(f|r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r|p))
|
~(~((~(((k|p)|n))|((b|p)|~((f&q))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(q>(p>((b|((r&b)>r))|~((n>k))))))
|
((~(m)>~((r&r)))|(((k&q)>b)|(p&p)))
| 1 | 1 | 0 | 0 |
entailment
|
~(b)
|
~((((k|(q|p))&b)&((b|k)&k)))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(q>(p>((b|((r&b)>r))|~((n>k))))))
|
~((((k|(q|p))&b)&((b|k)&k)))
| 0 | 1 | 1 | 1 |
not entailment
|
~(b)
|
((~(m)>~((r&r)))|(((k&q)>b)|(p&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((n|(r&f)))|(p|(p|n))))
|
~(~(((((m>b)&(f|b))&((b|p)&r))|(f|b))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(k))&~(~(m)))
|
~((~((k|b))&~((p&~((r>p))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((n|(r&f)))|(p|(p|n))))
|
~((~((k|b))&~((p&~((r>p))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(k))&~(~(m)))
|
~(~(((((m>b)&(f|b))&((b|p)&r))|(f|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((~((b&k))|n))&q)&((k>m)>~(m)))
|
(~(n)>(~((n>n))|b))
| 1 | 1 | 1 | 0 |
entailment
|
~(((k&f)>n))
|
~((f>(((~(f)>p)|(~(q)>b))&~(k))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((~((b&k))|n))&q)&((k>m)>~(m)))
|
~((f>(((~(f)>p)|(~(q)>b))&~(k))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k&f)>n))
|
(~(n)>(~((n>n))|b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r>k)|n))
|
(~((p>~(~(((n|k)&b)))))>(r|r))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(~(q)))))
|
(q>(q&(f>~((q|q)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((r>k)|n))
|
(q>(q&(f>~((q|q)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(~(q)))))
|
(~((p>~(~(((n|k)&b)))))>(r|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(((n&p)&b)&(((f|(m>n))|(q|~((n>q))))>m))
|
~(~((~(~((r&b)))|(q>b))))
| 1 | 1 | 0 | 0 |
entailment
|
~((n|(r>(q>b))))
|
(b>~((n|(n|p))))
| 1 | 1 | 0 | 0 |
entailment
|
(((n&p)&b)&(((f|(m>n))|(q|~((n>q))))>m))
|
(b>~((n|(n|p))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((n|(r>(q>b))))
|
~(~((~(~((r&b)))|(q>b))))
| 0 | 0 | 1 | 0 |
not entailment
|
(r&b)
|
((r&b)&b)
| 1 | 0 | 1 | 1 |
entailment
|
~((f>b))
|
(q|~((b&n)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&b)
|
(q|~((b&n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>b))
|
((r&b)&b)
| 0 | 1 | 0 | 0 |
not entailment
|
((k&m)&r)
|
(~(((m|f)|r))|(((f>(m>r))>r)|m))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(m))|(r&(~(m)|((b|~(n))&q)))))
|
(~((m&p))|~(~((q&(r>f)))))
| 1 | 1 | 0 | 0 |
entailment
|
((k&m)&r)
|
(~((m&p))|~(~((q&(r>f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~(m))|(r&(~(m)|((b|~(n))&q)))))
|
(~(((m|f)|r))|(((f>(m>r))>r)|m))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(q)>((m>b)|(r&n))))
|
((n&(~(r)|~(((k|n)>f))))>~((q&b)))
| 1 | 0 | 0 | 0 |
entailment
|
(k&((b>r)|(k|~((k>k)))))
|
~(~((m>(((k>((f&b)>(f&f)))>(b|m))>k))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(q)>((m>b)|(r&n))))
|
~(~((m>(((k>((f&b)>(f&f)))>(b|m))>k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&((b>r)|(k|~((k>k)))))
|
((n&(~(r)|~(((k|n)>f))))>~((q&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
((n|b)&m)
|
((r|n)>(q>m))
| 1 | 0 | 0 | 0 |
entailment
|
(((m|(n|q))&~(f))&((p>r)&q))
|
(~(((m|~(k))>(b&q)))>q)
| 1 | 1 | 0 | 0 |
entailment
|
((n|b)&m)
|
(~(((m|~(k))>(b&q)))>q)
| 0 | 0 | 0 | 0 |
not entailment
|
(((m|(n|q))&~(f))&((p>r)&q))
|
((r|n)>(q>m))
| 0 | 1 | 1 | 0 |
not entailment
|
(p>~(~(~(((p|(((n&q)&f)>~(q)))|k)))))
|
((~((k|f))|(f|(~(k)>r)))&(p>~(f)))
| 1 | 1 | 0 | 0 |
entailment
|
((f&p)&f)
|
((p&p)|m)
| 1 | 1 | 0 | 0 |
entailment
|
(p>~(~(~(((p|(((n&q)&f)>~(q)))|k)))))
|
((p&p)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
((f&p)&f)
|
((~((k|f))|(f|(~(k)>r)))&(p>~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((b&(b&k))&q)>(p>m)))&f)
|
(((n>m)&(n|m))>f)
| 1 | 1 | 0 | 0 |
entailment
|
(~(p)&~((((p&(m|r))|b)|(f|r))))
|
(b>~(f))
| 1 | 1 | 1 | 1 |
entailment
|
(~((((b&(b&k))&q)>(p>m)))&f)
|
(b>~(f))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(p)&~((((p&(m|r))|b)|(f|r))))
|
(((n>m)&(n|m))>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((f|f)&~((f>~(((q&r)&f)))))
|
(((m|~(r))&~(((p>q)>(q&m))))>(p|k))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(q)>(~((n&p))>b)))
|
((b>n)|~((k>b)))
| 1 | 1 | 0 | 0 |
entailment
|
((f|f)&~((f>~(((q&r)&f)))))
|
((b>n)|~((k>b)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(q)>(~((n&p))>b)))
|
(((m|~(r))&~(((p>q)>(q&m))))>(p|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(n)>~(~(p)))&q)>~(b)))
|
(((r>q)&(p&q))|~(~((n>q))))
| 1 | 1 | 0 | 0 |
entailment
|
((f&m)&((p>p)&(k|r)))
|
(q>(p|f))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(n)>~(~(p)))&q)>~(b)))
|
(q>(p|f))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&m)&((p>p)&(k|r)))
|
(((r>q)&(p&q))|~(~((n>q))))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(~((~(w)&i))&~(s)))
|
((w|((r|a)>(k|(w|k))))&((k&i)|w))
| 1 | 0 | 0 | 0 |
entailment
|
~((i|(a&(a|~(c)))))
|
(i>(~(w)|~((c|k))))
| 1 | 1 | 0 | 0 |
entailment
|
(i&(~((~(w)&i))&~(s)))
|
(i>(~(w)|~((c|k))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((i|(a&(a|~(c)))))
|
((w|((r|a)>(k|(w|k))))&((k&i)|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(c)>(((c|w)&w)&(((r|i)|(s|c))|i)))
|
(w|~((~((w&(s>a)))>(~((k>c))&~(a)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((r>a)&(w|a)))))
|
(((k>(a&w))>r)>(w>r))
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)>(((c|w)&w)&(((r|i)|(s|c))|i)))
|
(((k>(a&w))>r)>(w>r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((r>a)&(w|a)))))
|
(w|~((~((w&(s>a)))>(~((k>c))&~(a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((c>((a|(k|c))|i))&(s&s))
|
~((s>((~(i)&r)&i)))
| 1 | 1 | 0 | 0 |
entailment
|
((w|(w&((c>k)>s)))&~((r|s)))
|
((s&i)|(a>(k|((r>w)|w))))
| 1 | 1 | 0 | 0 |
entailment
|
((c>((a|(k|c))|i))&(s&s))
|
((s&i)|(a>(k|((r>w)|w))))
| 0 | 1 | 0 | 0 |
not entailment
|
((w|(w&((c>k)>s)))&~((r|s)))
|
~((s>((~(i)&r)&i)))
| 0 | 1 | 0 | 0 |
not entailment
|
((s>c)&((i&k)&a))
|
((i|i)&(w>k))
| 1 | 1 | 0 | 0 |
entailment
|
(c&k)
|
~(~((((((r|w)>c)>c)|(i|r))>(c|~(k)))))
| 1 | 0 | 0 | 0 |
entailment
|
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