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&p)
|
(~((t>~(((p&t)&p))))|~(~((p&(t>t)))))
| 1 | 0 | 0 | 0 |
entailment
|
((t&t)&(p|(p|t)))
|
(~((t>~(((p&t)&p))))|~(~((p&(t>t)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(p&p)
|
(t|~(~((t|((t>p)&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&~(t))|(~(t)&~(p)))
|
(t>~(~(p)))
| 1 | 1 | 1 | 0 |
entailment
|
((~(~((~(p)>t)))|(p&(t>t)))|p)
|
(((t&(p|p))>(p>t))&(t|p))
| 1 | 1 | 1 | 0 |
entailment
|
((t&~(t))|(~(t)&~(p)))
|
(((t&(p|p))>(p>t))&(t|p))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(~((~(p)>t)))|(p&(t>t)))|p)
|
(t>~(~(p)))
| 0 | 1 | 1 | 1 |
not entailment
|
((((t|t)|t)&(t>t))&((t>t)|~(t)))
|
~(~((t|(((p|t)>~(t))>(p&p)))))
| 1 | 1 | 0 | 0 |
entailment
|
((((p&p)|t)&(p|((t&t)|(p&(p>t)))))>p)
|
~(~(~(~(((p&(p>t))|(t>p))))))
| 1 | 1 | 1 | 0 |
entailment
|
((((t|t)|t)&(t>t))&((t>t)|~(t)))
|
~(~(~(~(((p&(p>t))|(t>p))))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((p&p)|t)&(p|((t&t)|(p&(p>t)))))>p)
|
~(~((t|(((p|t)>~(t))>(p&p)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((t&t)|(~((t>p))&(p|t))))
|
(t>(((t>p)>t)>p))
| 1 | 1 | 1 | 1 |
entailment
|
((t>t)&((t>t)>(t|p)))
|
((t>(t>p))>(p|p))
| 1 | 1 | 1 | 0 |
entailment
|
~(((t&t)|(~((t>p))&(p|t))))
|
((t>(t>p))>(p|p))
| 0 | 1 | 1 | 0 |
not entailment
|
((t>t)&((t>t)>(t|p)))
|
(t>(((t>p)>t)>p))
| 0 | 1 | 1 | 1 |
not entailment
|
((~((((t|(p&p))&p)&p))>(t>(p|p)))&p)
|
((p|((t&p)>t))>(~(t)>p))
| 1 | 1 | 1 | 0 |
entailment
|
(((p|p)>(t>p))>~((p&(~(t)|(t>t)))))
|
(((t>(t&((p>t)|(t&t))))&p)>~((p&(t&t))))
| 1 | 0 | 1 | 1 |
entailment
|
((~((((t|(p&p))&p)&p))>(t>(p|p)))&p)
|
(((t>(t&((p>t)|(t&t))))&p)>~((p&(t&t))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((p|p)>(t>p))>~((p&(~(t)|(t>t)))))
|
((p|((t&p)>t))>(~(t)>p))
| 0 | 1 | 1 | 1 |
not entailment
|
(p|(((t>t)&(~(p)&p))&t))
|
(p|(p|p))
| 1 | 1 | 1 | 1 |
entailment
|
((t&t)|t)
|
(((t>~(~(p)))|~(t))>(((p&t)>(t>t))>t))
| 1 | 0 | 0 | 0 |
entailment
|
(p|(((t>t)&(~(p)&p))&t))
|
(((t>~(~(p)))|~(t))>(((p&t)>(t>t))>t))
| 0 | 0 | 1 | 1 |
not entailment
|
((t&t)|t)
|
(p|(p|p))
| 0 | 1 | 0 | 0 |
not entailment
|
((p>p)&(p&t))
|
(~((~(((p&t)|p))&~(p)))|(p&t))
| 1 | 0 | 1 | 1 |
entailment
|
~((~(t)>t))
|
((p&~((p&(p>~(p)))))>(t>(~(p)&p)))
| 1 | 0 | 0 | 0 |
entailment
|
((p>p)&(p&t))
|
((p&~((p&(p>~(p)))))>(t>(~(p)&p)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(t)>t))
|
(~((~(((p&t)|p))&~(p)))|(p&t))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((t>t)>t))>(~((t>(t>p)))|p))|(p&p))
|
((t>p)>~(~((p|p))))
| 1 | 1 | 1 | 1 |
entailment
|
~(t)
|
((~((~(p)|(p>(t&p))))&(~(t)&p))|(t>p))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((t>t)>t))>(~((t>(t>p)))|p))|(p&p))
|
((~((~(p)|(p>(t&p))))&(~(t)&p))|(t>p))
| 0 | 1 | 1 | 1 |
not entailment
|
~(t)
|
((t>p)>~(~((p|p))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((p|p))>p)|p)
|
(p|t)
| 1 | 1 | 0 | 0 |
entailment
|
(p>((t&p)&p))
|
(p>(((p&(p&t))>p)>(t&t)))
| 1 | 0 | 1 | 1 |
entailment
|
((~((p|p))>p)|p)
|
(p>(((p&(p&t))>p)>(t&t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p>((t&p)&p))
|
(p|t)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((t|(~(p)|t)))&(p>p))
|
~((t&(t>~(p))))
| 1 | 1 | 1 | 0 |
entailment
|
(((p&p)|p)>~(((t|(p&t))>(t&t))))
|
~(p)
| 1 | 1 | 1 | 1 |
entailment
|
(~((t|(~(p)|t)))&(p>p))
|
~(p)
| 0 | 1 | 1 | 1 |
not entailment
|
(((p&p)|p)>~(((t|(p&t))>(t&t))))
|
~((t&(t>~(p))))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((~(p)>p)>(t&~(t)))|~((p|(p|t)))))
|
(~(~(p))|((p|(t|t))&(p|((t&p)|(t&t)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((p|~(t))&p))
|
(p>((t&(p>p))|(t&t)))
| 1 | 0 | 1 | 0 |
entailment
|
~((((~(p)>p)>(t&~(t)))|~((p|(p|t)))))
|
(p>((t&(p>p))|(t&t)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((p|~(t))&p))
|
(~(~(p))|((p|(t|t))&(p|((t&p)|(t&t)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(p)
|
~((p|p))
| 1 | 0 | 1 | 1 |
entailment
|
((t>~(~(p)))|(t>p))
|
(~((t>t))|(~(t)|p))
| 1 | 1 | 1 | 0 |
entailment
|
~(p)
|
(~((t>t))|(~(t)|p))
| 0 | 0 | 0 | 0 |
not entailment
|
((t>~(~(p)))|(t>p))
|
~((p|p))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~(i))|f))
|
((~((f>f))|i)|~(f))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((f|((f&i)|(i&f)))))
|
(((i|f)&(i|(f&f)))&(f>(f|f)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(~(i))|f))
|
(((i|f)&(i|(f&f)))&(f>(f|f)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((f|((f&i)|(i&f)))))
|
((~((f>f))|i)|~(f))
| 0 | 1 | 1 | 0 |
not entailment
|
((f>f)&~((f>~((~(i)|~(~(i)))))))
|
(((f&f)|(f|i))&(((f>f)|f)>((i&i)>f)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(i))
|
((~(f)>~(f))&i)
| 1 | 0 | 0 | 0 |
entailment
|
((f>f)&~((f>~((~(i)|~(~(i)))))))
|
((~(f)>~(f))&i)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(i))
|
(((f&f)|(f|i))&(((f>f)|f)>((i&i)>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&(f>(i|i)))|i)
|
((~(i)>i)|f)
| 1 | 1 | 1 | 1 |
entailment
|
~(((i|~((i&i)))>(i&(f|i))))
|
((f|f)|((~(f)&~((i|i)))|f))
| 1 | 1 | 1 | 0 |
entailment
|
((f&(f>(i|i)))|i)
|
((f|f)|((~(f)&~((i|i)))|f))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((i|~((i&i)))>(i&(f|i))))
|
((~(i)>i)|f)
| 0 | 1 | 1 | 0 |
not entailment
|
((f&i)&f)
|
(((f&f)>f)&i)
| 1 | 0 | 1 | 0 |
entailment
|
(((((f>i)>i)|(i|(i>i)))&i)>~(i))
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
((f&i)&f)
|
~(i)
| 0 | 1 | 1 | 0 |
not entailment
|
(((((f>i)>i)|(i|(i>i)))&i)>~(i))
|
(((f&f)>f)&i)
| 0 | 1 | 1 | 0 |
not entailment
|
((i|f)&~(((i>i)&f)))
|
((i&(~(i)>i))|i)
| 1 | 1 | 1 | 1 |
entailment
|
(((f&((i>f)&((i|~(i))|i)))|i)>~(i))
|
~((~((f&i))>((f>(i>f))>(~(f)&i))))
| 1 | 1 | 1 | 0 |
entailment
|
((i|f)&~(((i>i)&f)))
|
~((~((f&i))>((f>(i>f))>(~(f)&i))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((f&((i>f)&((i|~(i))|i)))|i)>~(i))
|
((i&(~(i)>i))|i)
| 0 | 1 | 1 | 1 |
not entailment
|
((f&i)&i)
|
(((i>(f>f))>f)|(i|(i|f)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((((i&i)|f)&i)|(~(i)&i)))
|
(~(((f&f)&(f>i)))&~((i|(f&i))))
| 1 | 0 | 1 | 0 |
entailment
|
((f&i)&i)
|
(~(((f&f)&(f>i)))&~((i|(f&i))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((((i&i)|f)&i)|(~(i)&i)))
|
(((i>(f>f))>f)|(i|(i|f)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((f&((f>(f&f))>f))>f)>(f&f))&i)
|
((f&((f>i)|i))|((i&f)&i))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(i)>f)|~(((f>i)|i))))
|
~(~(((i|i)>~(i))))
| 1 | 1 | 1 | 1 |
entailment
|
((((f&((f>(f&f))>f))>f)>(f&f))&i)
|
~(~(((i|i)>~(i))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(i)>f)|~(((f>i)|i))))
|
((f&((f>i)|i))|((i&f)&i))
| 0 | 1 | 1 | 0 |
not entailment
|
((~(i)>i)>((f&~((i>i)))&(~(~(i))|i)))
|
((i>f)|(f|(((i|((f&f)>(i&i)))>i)&~(i))))
| 1 | 1 | 1 | 1 |
entailment
|
(f|(i&i))
|
(~((i|i))>(f|i))
| 1 | 0 | 1 | 1 |
entailment
|
((~(i)>i)>((f&~((i>i)))&(~(~(i))|i)))
|
(~((i|i))>(f|i))
| 0 | 1 | 1 | 1 |
not entailment
|
(f|(i&i))
|
((i>f)|(f|(((i|((f&f)>(i&i)))>i)&~(i))))
| 0 | 0 | 1 | 0 |
not entailment
|
((f|(i&~(~((f&(i|~(f)))))))&((f&f)>i))
|
(f|((f&i)&f))
| 1 | 1 | 1 | 1 |
entailment
|
(f>~(f))
|
~((f&(((f>f)|i)>((i&i)>(i|f)))))
| 1 | 0 | 0 | 0 |
entailment
|
((f|(i&~(~((f&(i|~(f)))))))&((f&f)>i))
|
~((f&(((f>f)|i)>((i&i)>(i|f)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(f>~(f))
|
(f|((f&i)&f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((i|i)&f)&f)))
|
((((i|f)|i)>(f>i))|i)
| 1 | 1 | 1 | 0 |
entailment
|
~((i&(f>f)))
|
((f|i)>~(i))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((((i|i)&f)&f)))
|
((f|i)>~(i))
| 0 | 1 | 1 | 0 |
not entailment
|
~((i&(f>f)))
|
((((i|f)|i)>(f>i))|i)
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(((~(i)&f)|f)))
|
(((i>(~((f&f))|~(f)))|(f>f))>f)
| 1 | 0 | 1 | 0 |
entailment
|
(~(~(~((f|f))))&i)
|
~((f&(i|i)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((~(i)&f)|f)))
|
~((f&(i|i)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(~((f|f))))&i)
|
(((i>(~((f&f))|~(f)))|(f>f))>f)
| 0 | 0 | 1 | 0 |
not entailment
|
((q>q)&(~(((i|~(a))>c))&a))
|
~((~(i)&(((c|a)&c)|((x>c)|x))))
| 1 | 0 | 0 | 0 |
entailment
|
(((c|c)&(q|(i>x)))|(q&(c&b)))
|
(c|n)
| 1 | 1 | 0 | 0 |
entailment
|
((q>q)&(~(((i|~(a))>c))&a))
|
(c|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(((c|c)&(q|(i>x)))|(q&(c&b)))
|
~((~(i)&(((c|a)&c)|((x>c)|x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x>b)
|
(((i&i)&(~((((~(i)&a)|x)>n))&(i&x)))>b)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(c)>~(~((i>a)))))&~(~(~(a))))
|
((((b|((c&b)|c))&x)>(c|q))|(i&~(a)))
| 1 | 1 | 0 | 0 |
entailment
|
(x>b)
|
((((b|((c&b)|c))&x)>(c|q))|(i&~(a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(c)>~(~((i>a)))))&~(~(~(a))))
|
(((i&i)&(~((((~(i)&a)|x)>n))&(i&x)))>b)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(a))&n)
|
((i>b)>(~((i|~(a)))|(q>i)))
| 1 | 0 | 0 | 0 |
entailment
|
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