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|j)|((j|g)>d))>~(((x&(g&c))>(f>f))))
|
((c&((x&d)>j))>(~(p)>g))
| 1 | 1 | 0 | 0 |
entailment
|
~((j|(((j>i)>~(x))>(d>l))))
|
(~(~(e))|((((i&e)>e)&~((i&i)))>~(x)))
| 1 | 0 | 0 | 0 |
entailment
|
(((f|j)|((j|g)>d))>~(((x&(g&c))>(f>f))))
|
(~(~(e))|((((i&e)>e)&~((i&i)))>~(x)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((j|(((j>i)>~(x))>(d>l))))
|
((c&((x&d)>j))>(~(p)>g))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(j)&~((c>x)))
|
~(((((e>c)>~(g))|j)&(d&j)))
| 1 | 0 | 0 | 0 |
entailment
|
(c&(p&x))
|
((x&x)|(~(x)&f))
| 1 | 0 | 0 | 0 |
entailment
|
(~(j)&~((c>x)))
|
((x&x)|(~(x)&f))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(p&x))
|
~(((((e>c)>~(g))|j)&(d&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(f)&p)
|
(x>p)
| 1 | 1 | 0 | 0 |
entailment
|
(i&(j&g))
|
(~(j)>(((f&p)|(f|p))>(g|c)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(f)&p)
|
(~(j)>(((f&p)|(f|p))>(g|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&(j&g))
|
(x>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((l|j))
|
~(~(~(((e|(l|f))&((g&j)&x)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((x&(j&(~(c)|(~(g)&j))))&e)&l)
|
(f>((j&(c|e))|j))
| 1 | 1 | 0 | 0 |
entailment
|
~((l|j))
|
(f>((j&(c|e))|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(((x&(j&(~(c)|(~(g)&j))))&e)&l)
|
~(~(~(((e|(l|f))&((g&j)&x)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d&(j&c))&p)&c)
|
((l&j)>p)
| 1 | 1 | 0 | 0 |
entailment
|
(~(f)&~((c|d)))
|
~((c&(d&(x&x))))
| 1 | 1 | 0 | 0 |
entailment
|
(((d&(j&c))&p)&c)
|
~((c&(d&(x&x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(f)&~((c|d)))
|
((l&j)>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(x)&((((x>f)>f)>x)&(g|(i|g))))
|
((x&j)>(((c>(c|g))|~(c))>((p&x)>l)))
| 1 | 0 | 0 | 0 |
entailment
|
(i&(d&(x>j)))
|
((~(d)>(f&l))&(~(~((l|p)))>d))
| 1 | 0 | 0 | 0 |
entailment
|
(~(x)&((((x>f)>f)>x)&(g|(i|g))))
|
((~(d)>(f&l))&(~(~((l|p)))>d))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&(d&(x>j)))
|
((x&j)>(((c>(c|g))|~(c))>((p&x)>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>((d&(g&p))>j)))
|
(~((j>~(j)))>p)
| 1 | 1 | 1 | 1 |
entailment
|
(j&(l&j))
|
((~((l>(c&j)))&~(~(~(~(d)))))|j)
| 1 | 0 | 0 | 0 |
entailment
|
~((c>((d&(g&p))>j)))
|
((~((l>(c&j)))&~(~(~(~(d)))))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
(j&(l&j))
|
(~((j>~(j)))>p)
| 0 | 0 | 0 | 0 |
not entailment
|
(((e>d)&((l>f)&~(l)))&((f&p)|p))
|
(((j&i)|((p>c)>c))|~(x))
| 1 | 1 | 0 | 0 |
entailment
|
((i&~(f))&~(l))
|
(~(j)|~((i>(l&(f>p)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((e>d)&((l>f)&~(l)))&((f&p)|p))
|
(~(j)|~((i>(l&(f>p)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((i&~(f))&~(l))
|
(((j&i)|((p>c)>c))|~(x))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((g&p))>(~(c)&(g|x)))
|
~(~((g|x)))
| 1 | 1 | 1 | 1 |
entailment
|
~(d)
|
(x>~(((((x>d)>x)|l)>(l&d))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g&p))>(~(c)&(g|x)))
|
(x>~(((((x>d)>x)|l)>(l&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(d)
|
~(~((g|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g>l))
|
~(((j&l)&(f&f)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(p))
|
~(~((p|(x>(l&g)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((g>l))
|
~(~((p|(x>(l&g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(p))
|
~(((j&l)&(f&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(j)>p)>~(p)))
|
(~(~(p))&p)
| 1 | 1 | 1 | 1 |
entailment
|
((((p>j)>j)&((j>j)|j))&((j|p)>j))
|
(((p>j)&(j&j))|(j|j))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(j)>p)>~(p)))
|
(((p>j)&(j&j))|(j|j))
| 0 | 1 | 1 | 0 |
not entailment
|
((((p>j)>j)&((j>j)|j))&((j|p)>j))
|
(~(~(p))&p)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((p&j)|~(p)))
|
(p&((p>(j|p))&p))
| 1 | 1 | 1 | 0 |
entailment
|
((j>j)>j)
|
(((p&(p|j))>(p&(j&p)))&j)
| 1 | 0 | 0 | 0 |
entailment
|
~(((p&j)|~(p)))
|
(((p&(p|j))>(p&(j&p)))&j)
| 0 | 0 | 1 | 0 |
not entailment
|
((j>j)>j)
|
(p&((p>(j|p))&p))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(p)|(p|p))>p)
|
((p&(~(j)>p))&((j|j)|((p&p)&p)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(j)>(p&j))
|
(p>(p&j))
| 1 | 1 | 1 | 0 |
entailment
|
((~(p)|(p|p))>p)
|
(p>(p&j))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(j)>(p&j))
|
((p&(~(j)>p))&((j|j)|((p&p)&p)))
| 0 | 0 | 1 | 1 |
not entailment
|
~((((p>(((j>(~(p)&j))|j)|(p|p)))>p)>j))
|
(p&p)
| 1 | 1 | 1 | 1 |
entailment
|
((~(p)&j)&~((p|(j>p))))
|
((p|(p>j))>j)
| 1 | 1 | 1 | 0 |
entailment
|
~((((p>(((j>(~(p)&j))|j)|(p|p)))>p)>j))
|
((p|(p>j))>j)
| 0 | 1 | 1 | 1 |
not entailment
|
((~(p)&j)&~((p|(j>p))))
|
(p&p)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((j>j)>~(p)))|j)
|
((((p&(j|p))|p)&(p>p))|(j|p))
| 1 | 0 | 1 | 0 |
entailment
|
((~(((j|p)>~((j&j))))|j)>p)
|
(~(p)>((j&j)>p))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((j>j)>~(p)))|j)
|
(~(p)>((j&j)>p))
| 0 | 1 | 1 | 1 |
not entailment
|
((~(((j|p)>~((j&j))))|j)>p)
|
((((p&(j|p))|p)&(p>p))|(j|p))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(p)&j)
|
(~(((j|(p|j))|p))>((j|(p&p))&(j&(p|p))))
| 1 | 0 | 1 | 0 |
entailment
|
((j|j)>~((~(j)|(j>~(p)))))
|
(((((p>(p|j))&j)|(p|p))>p)|(~(p)>(p|p)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(p)&j)
|
(((((p>(p|j))&j)|(p|p))>p)|(~(p)>(p|p)))
| 0 | 0 | 1 | 0 |
not entailment
|
((j|j)>~((~(j)|(j>~(p)))))
|
(~(((j|(p|j))|p))>((j|(p&p))&(j&(p|p))))
| 0 | 0 | 1 | 1 |
not entailment
|
(j&(~((p|~(~(p))))|(p|~((j>p)))))
|
(((((j|p)|j)|(j&p))|p)|(j&p))
| 1 | 1 | 1 | 1 |
entailment
|
(j>((~(~((p|p)))&p)>~(j)))
|
(((p&j)&p)>(~(j)&p))
| 1 | 1 | 1 | 0 |
entailment
|
(j&(~((p|~(~(p))))|(p|~((j>p)))))
|
(((p&j)&p)>(~(j)&p))
| 0 | 1 | 1 | 0 |
not entailment
|
(j>((~(~((p|p)))&p)>~(j)))
|
(((((j|p)|j)|(j&p))|p)|(j&p))
| 0 | 1 | 1 | 0 |
not entailment
|
(((p>p)>((p&j)|((p&(p&j))&(j|p))))&(j|p))
|
((~(p)>(p|p))&~((p>(j&~(p)))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(j)&(((j>~(j))&((j|~(p))&p))>j))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
(((p>p)>((p&j)|((p&(p&j))&(j|p))))&(j|p))
|
~(j)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(j)&(((j>~(j))&((j|~(p))&p))>j))
|
((~(p)>(p|p))&~((p>(j&~(p)))))
| 0 | 1 | 1 | 1 |
not entailment
|
(p&~(((j>j)>j)))
|
~((~((j&j))>~((j>(p&(~(p)>j))))))
| 1 | 0 | 1 | 1 |
entailment
|
((j>(p&(p|j)))&j)
|
~(~(~(((p&~(j))|~((p&j))))))
| 1 | 0 | 1 | 0 |
entailment
|
(p&~(((j>j)>j)))
|
~(~(~(((p&~(j))|~((p&j))))))
| 0 | 0 | 1 | 0 |
not entailment
|
((j>(p&(p|j)))&j)
|
~((~((j&j))>~((j>(p&(~(p)>j))))))
| 0 | 0 | 1 | 1 |
not entailment
|
((j|p)>((~(p)&p)&(j|((j>j)&p))))
|
((p|j)>(p&~(~((j&j)))))
| 1 | 1 | 1 | 1 |
entailment
|
((j>p)&p)
|
(p|~((p>p)))
| 1 | 0 | 1 | 0 |
entailment
|
((j|p)>((~(p)&p)&(j|((j>j)&p))))
|
(p|~((p>p)))
| 0 | 1 | 1 | 1 |
not entailment
|
((j>p)&p)
|
((p|j)>(p&~(~((j&j)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(j&(j&(((~(j)|j)>p)&(p>j))))
|
(p&(j|(j>j)))
| 1 | 1 | 1 | 1 |
entailment
|
((j|p)>~(j))
|
((j|j)>~(j))
| 1 | 1 | 1 | 1 |
entailment
|
(j&(j&(((~(j)|j)>p)&(p>j))))
|
((j|j)>~(j))
| 0 | 1 | 1 | 1 |
not entailment
|
((j|p)>~(j))
|
(p&(j|(j>j)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((p|(((p>p)>j)|(p|(p&j)))))
|
((j>j)>((p|(((j&j)&p)>p))>(~(j)>~(p))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((p&p)>(j&j)))|j)
|
(~(~((j|(~(~(j))&(p>j)))))|p)
| 1 | 0 | 1 | 0 |
entailment
|
~((p|(((p>p)>j)|(p|(p&j)))))
|
(~(~((j|(~(~(j))&(p>j)))))|p)
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((p&p)>(j&j)))|j)
|
((j>j)>((p|(((j&j)&p)>p))>(~(j)>~(p))))
| 0 | 0 | 1 | 0 |
not entailment
|
(t&((s&g)&(~(s)>s)))
|
((t|~(((j&j)>t)))|g)
| 1 | 1 | 0 | 0 |
entailment
|
~((((s>w)|(j|w))|(~((g>j))|n)))
|
((w>s)>((g|j)>~((t&t))))
| 1 | 1 | 0 | 0 |
entailment
|
(t&((s&g)&(~(s)>s)))
|
((w>s)>((g|j)>~((t&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((s>w)|(j|w))|(~((g>j))|n)))
|
((t|~(((j&j)>t)))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(s)
|
(~((t&((g>(j>j))|w)))>~((s&(n|(s>w)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((s|n)>s)>((w|t)>s))&((g|t)&~(n)))
|
((g|(w&j))|(s&s))
| 1 | 1 | 0 | 0 |
entailment
|
~(s)
|
((g|(w&j))|(s&s))
| 0 | 0 | 0 | 0 |
not entailment
|
((((s|n)>s)>((w|t)>s))&((g|t)&~(n)))
|
(~((t&((g>(j>j))|w)))>~((s&(n|(s>w)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~(t))>w)>(n>~((n|~(j))))))
|
((n|(s>w))|j)
| 1 | 1 | 0 | 0 |
entailment
|
(t|(~(n)&g))
|
~(~(((n&n)>(t|g))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((~(~(t))>w)>(n>~((n|~(j))))))
|
~(~(((n&n)>(t|g))))
| 0 | 1 | 0 | 0 |
not entailment
|
(t|(~(n)&g))
|
((n|(s>w))|j)
| 0 | 1 | 0 | 0 |
not entailment
|
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