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 |
|---|---|---|---|---|---|---|
((((f|i)|(f|(f|c)))&c)&((i>c)|m))
|
(((m&x)&(((c|i)&f)&m))>~(i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((x&m))
|
(i>(x>c))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((x&i)|(x>f))>c))
|
((x&c)|~(~(~(((f>~(x))&(c&(x>x)))))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((~((c&i))|x)|c))|((~(m)>c)&f))
|
((i>c)|((c|f)|(x>c)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((x&i)|(x>f))>c))
|
((i>c)|((c|f)|(x>c)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((~((c&i))|x)|c))|((~(m)>c)&f))
|
((x&c)|~(~(~(((f>~(x))&(c&(x>x)))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~(((c>f)|(~(~((~(c)&x)))|f))))&m)
|
(x>(((x>((x&i)|c))&(c|c))>f))
| 1 | 1 | 0 | 0 |
entailment
|
((((i&(x|m))>m)|~(i))>(~(~(f))|(x&c)))
|
(((i|f)&f)|((i|f)|x))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(((c>f)|(~(~((~(c)&x)))|f))))&m)
|
(((i|f)&f)|((i|f)|x))
| 0 | 1 | 0 | 0 |
not entailment
|
((((i&(x|m))>m)|~(i))>(~(~(f))|(x&c)))
|
(x>(((x>((x&i)|c))&(c|c))>f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((x&x)>(~(c)|m)))
|
((((x>~(f))|(x&m))&(x&i))>c)
| 1 | 0 | 0 | 0 |
entailment
|
((~(c)>(f>f))&m)
|
((m|(x>m))|(((c|c)&~(c))|i))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x&x)>(~(c)|m)))
|
((m|(x>m))|(((c|c)&~(c))|i))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(c)>(f>f))&m)
|
((((x>~(f))|(x&m))&(x&i))>c)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(i))&((f&c)&i))
|
(f>i)
| 1 | 1 | 1 | 0 |
entailment
|
~(((i|(((f&i)&((m|m)|f))|c))&(m>(x&m))))
|
((m&(f&((i|~(m))|~(f))))>~((m>x)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(i))&((f&c)&i))
|
((m&(f&((i|~(m))|~(f))))>~((m>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i|(((f&i)&((m|m)|f))|c))&(m>(x&m))))
|
(f>i)
| 0 | 1 | 1 | 0 |
not entailment
|
(((i&x)&x)&((i&x)>(m|(~(m)|i))))
|
(x&(x|x))
| 1 | 1 | 1 | 1 |
entailment
|
~(((i>(c>f))|m))
|
~((f|f))
| 1 | 1 | 1 | 1 |
entailment
|
(((i&x)&x)&((i&x)>(m|(~(m)|i))))
|
~((f|f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i>(c>f))|m))
|
(x&(x|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(((f&(i&x))&f)|(i&(~((c|i))>f)))
|
(((f|x)>(m|m))|(i&((m&x)>x)))
| 1 | 1 | 0 | 0 |
entailment
|
(x&(x>c))
|
~((~(((i&x)>(c|(i>c))))&(~((m&f))>m)))
| 1 | 0 | 0 | 0 |
entailment
|
(((f&(i&x))&f)|(i&(~((c|i))>f)))
|
~((~(((i&x)>(c|(i>c))))&(~((m&f))>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&(x>c))
|
(((f|x)>(m|m))|(i&((m&x)>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~((i&m)))))
|
(~(x)|m)
| 1 | 1 | 0 | 0 |
entailment
|
((x&((x>x)>i))&(x>(~(f)>((c&m)|c))))
|
((~(((f>x)&(~(x)&(f|x))))&(f&x))|c)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~(~((i&m)))))
|
((~(((f>x)&(~(x)&(f|x))))&(f&x))|c)
| 0 | 0 | 0 | 0 |
not entailment
|
((x&((x>x)>i))&(x>(~(f)>((c&m)|c))))
|
(~(x)|m)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((m|~(f))|i))|(m&i))
|
(((m|c)|x)>(f|i))
| 1 | 1 | 0 | 0 |
entailment
|
(~((((i|(i>(f|x)))&c)>f))&x)
|
((m|i)|x)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((m|~(f))|i))|(m&i))
|
((m|i)|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((i|(i>(f|x)))&c)>f))&x)
|
(((m|c)|x)>(f|i))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&m)&f)
|
((m>m)>(f|f))
| 1 | 0 | 1 | 0 |
entailment
|
(((i&f)|(i|i))&x)
|
((x&i)&i)
| 1 | 1 | 1 | 1 |
entailment
|
((f&m)&f)
|
((x&i)&i)
| 0 | 1 | 0 | 0 |
not entailment
|
(((i&f)|(i|i))&x)
|
((m>m)>(f|f))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((m|(i>(x>c))))&x)&(c|f))
|
(((m|m)>~((i|x)))>((f>i)>i))
| 1 | 1 | 1 | 0 |
entailment
|
((~(((~((m|(x|x)))&f)|x))|x)>((m&c)&c))
|
(f>(((i|i)&~((x&i)))|(~(x)|~(~(m)))))
| 1 | 1 | 0 | 0 |
entailment
|
((~((m|(i>(x>c))))&x)&(c|f))
|
(f>(((i|i)&~((x&i)))|(~(x)|~(~(m)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(((~((m|(x|x)))&f)|x))|x)>((m&c)&c))
|
(((m|m)>~((i|x)))>((f>i)>i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f|~(x)))
|
(~(i)|(~(~(x))|(c&c)))
| 1 | 0 | 0 | 0 |
entailment
|
(m&m)
|
(m|(c&(f>(x>(m&c)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((f|~(x)))
|
(m|(c&(f>(x>(m&c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&m)
|
(~(i)|(~(~(x))|(c&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&(i>(i>i)))&f)
|
(((f>f)>f)|x)
| 1 | 1 | 0 | 0 |
entailment
|
(m&(((m|f)>~(~(c)))|(~(f)>x)))
|
~(~((m&m)))
| 1 | 1 | 1 | 1 |
entailment
|
((f&(i>(i>i)))&f)
|
~(~((m&m)))
| 0 | 1 | 0 | 0 |
not entailment
|
(m&(((m|f)>~(~(c)))|(~(f)>x)))
|
(((f>f)>f)|x)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(m)>(c&((i&(x>f))>f)))
|
(~(m)>((x|f)|(i>f)))
| 1 | 1 | 1 | 1 |
entailment
|
((m|~((c|m)))>(c&c))
|
(~(c)>c)
| 1 | 1 | 1 | 1 |
entailment
|
(~(m)>(c&((i&(x>f))>f)))
|
(~(c)>c)
| 0 | 1 | 1 | 1 |
not entailment
|
((m|~((c|m)))>(c&c))
|
(~(m)>((x|f)|(i>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((c>i)>~(f)))&~(i))
|
(((i&(i&x))>f)|(((f&m)|f)&m))
| 1 | 0 | 0 | 0 |
entailment
|
((c>~(~((c>((m>m)>m)))))>(~((x>f))&m))
|
(((x|c)>(m|((m>c)>~(x))))>(x|c))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((c>i)>~(f)))&~(i))
|
(((x|c)>(m|((m>c)>~(x))))>(x|c))
| 0 | 0 | 0 | 0 |
not entailment
|
((c>~(~((c>((m>m)>m)))))>(~((x>f))&m))
|
(((i&(i&x))>f)|(((f&m)|f)&m))
| 0 | 1 | 0 | 0 |
not entailment
|
(q|~(~((q&q))))
|
(((q&(((q|q)&q)&q))|q)&q)
| 1 | 0 | 1 | 1 |
entailment
|
(((((q|q)|q)|(q|q))|q)>~(q))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
(q|~(~((q&q))))
|
~(q)
| 0 | 1 | 1 | 0 |
not entailment
|
(((((q|q)|q)|(q|q))|q)>~(q))
|
(((q&(((q|q)&q)&q))|q)&q)
| 0 | 1 | 1 | 0 |
not entailment
|
(q|(q|(q|q)))
|
(q&(q&(q>q)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~(((q|(q|q))|~((q>(q|q)))))))
|
((q&((q>q)>q))>~(((q&(q|q))|q)))
| 1 | 1 | 1 | 1 |
entailment
|
(q|(q|(q|q)))
|
((q&((q>q)>q))>~(((q&(q|q))|q)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(~(((q|(q|q))|~((q>(q|q)))))))
|
(q&(q&(q>q)))
| 0 | 1 | 1 | 1 |
not entailment
|
(((q|q)&q)|(((q|q)|(q&(q>q)))|(q&q)))
|
(((q|q)&q)&(q|(q>~(q))))
| 1 | 1 | 1 | 1 |
entailment
|
~((q|~((q|~((q&(q|q)))))))
|
(((q&q)>~((q|q)))&((q|q)|(q>q)))
| 1 | 0 | 1 | 1 |
entailment
|
(((q|q)&q)|(((q|q)|(q&(q>q)))|(q&q)))
|
(((q&q)>~((q|q)))&((q|q)|(q>q)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((q|~((q|~((q&(q|q)))))))
|
(((q|q)&q)&(q|(q>~(q))))
| 0 | 1 | 1 | 1 |
not entailment
|
(q|q)
|
(~((q|q))>(~(q)&q))
| 1 | 0 | 1 | 0 |
entailment
|
~(q)
|
((q>(q|(q|q)))&~(q))
| 1 | 0 | 1 | 0 |
entailment
|
(q|q)
|
((q>(q|(q|q)))&~(q))
| 0 | 0 | 1 | 0 |
not entailment
|
~(q)
|
(~((q|q))>(~(q)&q))
| 0 | 0 | 1 | 0 |
not entailment
|
~((q>~((((q&q)&q)>q))))
|
((q>(q|q))&((q|q)&(q>q)))
| 1 | 1 | 1 | 1 |
entailment
|
~((((q|~((q&q)))&q)&q))
|
(q>~(((q|q)&q)))
| 1 | 1 | 1 | 1 |
entailment
|
~((q>~((((q&q)&q)>q))))
|
(q>~(((q|q)&q)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((((q|~((q&q)))&q)&q))
|
((q>(q|q))&((q|q)&(q>q)))
| 0 | 1 | 1 | 1 |
not entailment
|
(q|~(((q&(q|q))>q)))
|
(((q>(q&(q>q)))>((q>q)|q))&q)
| 1 | 0 | 1 | 1 |
entailment
|
~((q|q))
|
((q&~(~((q|q))))>~((q>q)))
| 1 | 0 | 1 | 0 |
entailment
|
(q|~(((q&(q|q))>q)))
|
((q&~(~((q|q))))>~((q>q)))
| 0 | 0 | 1 | 1 |
not entailment
|
~((q|q))
|
(((q>(q&(q>q)))>((q>q)|q))&q)
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((q|((q&q)&(q|q)))))
|
((q>((q&q)>(q&q)))&(q&(q>q)))
| 1 | 0 | 1 | 0 |
entailment
|
~((q&q))
|
(q>~(q))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((q|((q&q)&(q|q)))))
|
(q>~(q))
| 0 | 1 | 1 | 0 |
not entailment
|
~((q&q))
|
((q>((q&q)>(q&q)))&(q&(q>q)))
| 0 | 0 | 1 | 0 |
not entailment
|
((b|((b&(h|(k|d)))&(d>d)))&d)
|
((h>(~(d)|d))>(~(~(b))|~((k|k))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(d)&(h&h))
|
~(~((~((d|(h>d)))|g)))
| 1 | 0 | 0 | 0 |
entailment
|
((b|((b&(h|(k|d)))&(d>d)))&d)
|
~(~((~((d|(h>d)))|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)&(h&h))
|
((h>(~(d)|d))>(~(~(b))|~((k|k))))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|(h&b))&(d&g))
|
((h&(h&g))|((h|b)&(h>d)))
| 1 | 0 | 1 | 0 |
entailment
|
~(d)
|
(((d|h)&d)>h)
| 1 | 0 | 0 | 0 |
entailment
|
((b|(h&b))&(d&g))
|
(((d|h)&d)>h)
| 0 | 1 | 1 | 0 |
not entailment
|
~(d)
|
((h&(h&g))|((h|b)&(h>d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((b|d)>k)|(g&((h&g)&d)))|((g>(h>g))>b))
|
(((~(g)&b)|~(d))|((k|g)|b))
| 1 | 1 | 1 | 1 |
entailment
|
((k|~((h>h)))|d)
|
(k|(b|d))
| 1 | 1 | 0 | 0 |
entailment
|
((((b|d)>k)|(g&((h&g)&d)))|((g>(h>g))>b))
|
(k|(b|d))
| 0 | 1 | 1 | 1 |
not entailment
|
((k|~((h>h)))|d)
|
(((~(g)&b)|~(d))|((k|g)|b))
| 0 | 0 | 0 | 0 |
not entailment
|
((b>(d|(b&(b|(b>b)))))&((d&g)&d))
|
((k>g)|~((d>~(k))))
| 1 | 1 | 0 | 0 |
entailment
|
((d>(b|d))&(h&h))
|
(((d&~(k))>h)|~((k|d)))
| 1 | 0 | 0 | 0 |
entailment
|
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