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 |
|---|---|---|---|---|---|---|
~((~((((d|g)|o)&p))|(g|d)))
|
(g>(c|p))
| 1 | 1 | 0 | 0 |
entailment
|
((~((c>~(o)))&g)|(~(~(~(d)))>g))
|
(((o|d)>((o|c)&d))|(((o&p)>g)|g))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((((d|g)|o)&p))|(g|d)))
|
(((o|d)>((o|c)&d))|(((o&p)>g)|g))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((c>~(o)))&g)|(~(~(~(d)))>g))
|
(g>(c|p))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((g>c)>(d&(o&c))))|c))
|
(((d|(~((o|g))>p))&p)|(g|o))
| 1 | 1 | 0 | 0 |
entailment
|
(c&d)
|
((((p&o)>p)|~(o))&(d>(((g>c)|d)>(o>c))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((g>c)>(d&(o&c))))|c))
|
((((p&o)>p)|~(o))&(d>(((g>c)|d)>(o>c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&d)
|
(((d|(~((o|g))>p))&p)|(g|o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((p|d)>c)&~(((o&~((g|c)))>g)))))
|
((g&(g|g))|((p>d)|(d&c)))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(o)>(((g&d)|g)&d)))
|
(~((o>((g|(c&p))&o)))>((~(g)>d)&c))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((p|d)>c)&~(((o&~((g|c)))>g)))))
|
(~((o>((g|(c&p))&o)))>((~(g)>d)&c))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(o)>(((g&d)|g)&d)))
|
((g&(g|g))|((p>d)|(d&c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((g|p)&((g|g)>c))>(p&(p|p))))
|
(~(~((~(~(g))&(d&p))))|((~(c)|p)>c))
| 1 | 0 | 0 | 0 |
entailment
|
(((c&c)|(((g|d)&((o|c)|p))&~(c)))&~(d))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
~((((g|p)&((g|g)>c))>(p&(p|p))))
|
~(d)
| 0 | 1 | 0 | 0 |
not entailment
|
(((c&c)|(((g|d)&((o|c)|p))&~(c)))&~(d))
|
(~(~((~(~(g))&(d&p))))|((~(c)|p)>c))
| 0 | 1 | 1 | 0 |
not entailment
|
~((o|(p|p)))
|
((p&g)>~((~(((d|p)|((o&o)>o)))|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((o>~(g)))
|
((~((c>(o&o)))&(g|(o&p)))>o)
| 1 | 0 | 0 | 0 |
entailment
|
~((o|(p|p)))
|
((~((c>(o&o)))&(g|(o&p)))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
~((o>~(g)))
|
((p&g)>~((~(((d|p)|((o&o)>o)))|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(d)
|
(d>~((g|~(g))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((d|(c|p))|~(((c&p)&d)))>(p>c)))
|
~((~(~(c))&(d>(g&c))))
| 1 | 1 | 0 | 0 |
entailment
|
~(d)
|
~((~(~(c))&(d>(g&c))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((d|(c|p))|~(((c&p)&d)))>(p>c)))
|
(d>~((g|~(g))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((d&c)&(x>c)))>~((x|(x>(i>i)))))
|
(((i>c)|h)|(n&(c|c)))
| 1 | 1 | 0 | 0 |
entailment
|
(x&(((p>h)&i)&~(c)))
|
~(((d&c)|c))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((d&c)&(x>c)))>~((x|(x>(i>i)))))
|
~(((d&c)|c))
| 0 | 1 | 1 | 0 |
not entailment
|
(x&(((p>h)&i)&~(c)))
|
(((i>c)|h)|(n&(c|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(h))&n)
|
((~(h)|(c&(x|c)))>((c|(p|p))>(d>h)))
| 1 | 0 | 0 | 0 |
entailment
|
((((~(h)|c)&d)&~(((x&c)>x)))|(i&c))
|
(c|d)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(h))&n)
|
(c|d)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~(h)|c)&d)&~(((x&c)>x)))|(i&c))
|
((~(h)|(c&(x|c)))>((c|(p|p))>(d>h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(c&((n>(p|x))>~(((x&i)&c)))))
|
(((i|~(n))>i)>((h|c)|(i|i)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(d)&x)>(n&~((x|~(((x|d)>i)))))))
|
(d>n)
| 1 | 1 | 1 | 0 |
entailment
|
(d&(c&((n>(p|x))>~(((x&i)&c)))))
|
(d>n)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(d)&x)>(n&~((x|~(((x|d)>i)))))))
|
(((i|~(n))>i)>((h|c)|(i|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((x>x)>(~((h>(x&h)))>(d|c))))))
|
~(~((d>h)))
| 1 | 1 | 1 | 1 |
entailment
|
(i&(c&d))
|
(((x>~((c>h)))>p)>((x>x)&((d|c)&(h|i))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((x>x)>(~((h>(x&h)))>(d|c))))))
|
(((x>~((c>h)))>p)>((x>x)&((d|c)&(h|i))))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&(c&d))
|
~(~((d>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((h>i)|((x|i)>p)))&(x&(p|(p>c))))
|
(i>(d>h))
| 1 | 1 | 0 | 0 |
entailment
|
(c&~((((h>n)>(p>h))|~(p))))
|
(p|d)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((h>i)|((x|i)>p)))&(x&(p|(p>c))))
|
(p|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&~((((h>n)>(p>h))|~(p))))
|
(i>(d>h))
| 0 | 1 | 0 | 0 |
not entailment
|
((c|c)|~((i|((n|i)&h))))
|
(p>((d&i)>(i>c)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((i|i)))
|
((c|n)>(i|(x|(c>p))))
| 1 | 0 | 0 | 0 |
entailment
|
((c|c)|~((i|((n|i)&h))))
|
((c|n)>(i|(x|(c>p))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((i|i)))
|
(p>((d&i)>(i>c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((h|~(((n|i)&d)))>~((d&h))))&(c&x))
|
((c>d)|(((h>d)&p)&~(~((x>p)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(((n|(h&h))|n)))&n))
|
~(n)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((h|~(((n|i)&d)))>~((d&h))))&(c&x))
|
~(n)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(~(((n|(h&h))|n)))&n))
|
((c>d)|(((h>d)&p)&~(~((x>p)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>d))
|
(~(((n>p)|i))>c)
| 1 | 0 | 0 | 0 |
entailment
|
((d|d)&((x&(c>(p|h)))&x))
|
((p&n)|x)
| 1 | 1 | 0 | 0 |
entailment
|
~((c>d))
|
((p&n)|x)
| 0 | 1 | 0 | 0 |
not entailment
|
((d|d)&((x&(c>(p|h)))&x))
|
(~(((n>p)|i))>c)
| 0 | 1 | 0 | 0 |
not entailment
|
((x>i)&((i>n)&~(~((n>n)))))
|
((x>p)|(~((i|c))>(d>~((~(d)|h)))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&n)
|
((c>x)|n)
| 1 | 0 | 0 | 0 |
entailment
|
((x>i)&((i>n)&~(~((n>n)))))
|
((c>x)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&n)
|
((x>p)|(~((i|c))>(d>~((~(d)|h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((i&(p&n))&p)
|
(i|~(~(h)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((x|~((h>(c&~(d)))))|~(c))&h))
|
((h&(d&h))>((n|(x&(i&n)))>(c&i)))
| 1 | 1 | 0 | 0 |
entailment
|
((i&(p&n))&p)
|
((h&(d&h))>((n|(x&(i&n)))>(c&i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((x|~((h>(c&~(d)))))|~(c))&h))
|
(i|~(~(h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(d>p))
|
(((h|~(p))>((x|((c|d)|i))|(n>i)))|x)
| 1 | 0 | 0 | 0 |
entailment
|
(((h&h)&n)&(((n>i)>p)&~(c)))
|
~(~((x|(i>n))))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(d>p))
|
~(~((x|(i>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h&h)&n)&(((n>i)>p)&~(c)))
|
(((h|~(p))>((x|((c|d)|i))|(n>i)))|x)
| 0 | 0 | 0 | 0 |
not entailment
|
~((h>((((p|h)>h)&p)|n)))
|
(h|((h>~((h>(x>n))))&h))
| 1 | 1 | 0 | 0 |
entailment
|
(p&~(~((((d|d)&p)|~(~(d))))))
|
(((c|((n>n)|i))>c)|p)
| 1 | 1 | 0 | 0 |
entailment
|
~((h>((((p|h)>h)&p)|n)))
|
(((c|((n>n)|i))>c)|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(p&~(~((((d|d)&p)|~(~(d))))))
|
(h|((h>~((h>(x>n))))&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&i)
|
(~(n)>(h|(x|i)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h|~(~(h)))|((d&x)&d)))
|
~(((((n&d)|n)|(h>i))&h))
| 1 | 1 | 0 | 0 |
entailment
|
(c&i)
|
~(((((n&d)|n)|(h>i))&h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((h|~(~(h)))|((d&x)&d)))
|
(~(n)>(h|(x|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(c)&(~((h>c))&(n&i)))
|
~((~(~(((c|p)>d)))&c))
| 1 | 1 | 0 | 0 |
entailment
|
(x&p)
|
(((d&(c&(x>i)))>x)>(c|p))
| 1 | 0 | 0 | 0 |
entailment
|
(~(c)&(~((h>c))&(n&i)))
|
(((d&(c&(x>i)))>x)>(c|p))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&p)
|
~((~(~(((c|p)>d)))&c))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c>~(c)))
|
(~((d&x))|((i&n)|c))
| 1 | 0 | 0 | 0 |
entailment
|
(((p>(x&x))&(((p>n)|h)>p))|p)
|
(((i>(h&~(i)))|x)>~(~(p)))
| 1 | 1 | 0 | 0 |
entailment
|
~((c>~(c)))
|
(((i>(h&~(i)))|x)>~(~(p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((p>(x&x))&(((p>n)|h)>p))|p)
|
(~((d&x))|((i&n)|c))
| 0 | 1 | 0 | 0 |
not entailment
|
~(n)
|
(~((h|(p&n)))|h)
| 1 | 0 | 0 | 0 |
entailment
|
(((((x&c)>h)&((d|c)&(i&p)))&(n&i))&x)
|
(p|~(d))
| 1 | 1 | 1 | 0 |
entailment
|
~(n)
|
(p|~(d))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((x&c)>h)&((d|c)&(i&p)))&(n&i))&x)
|
(~((h|(p&n)))|h)
| 0 | 1 | 1 | 0 |
not entailment
|
(f&(~(~(t))>(k>b)))
|
((f|(o|b))|((~((d|d))>(b|k))|t))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((o>k)&d)>o))>(~((t|d))&(k&k)))
|
((o|(d>b))|t)
| 1 | 1 | 0 | 0 |
entailment
|
(f&(~(~(t))>(k>b)))
|
((o|(d>b))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((o>k)&d)>o))>(~((t|d))&(k&k)))
|
((f|(o|b))|((~((d|d))>(b|k))|t))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((b|d))&(~(d)&~((f>k))))
|
((t|((t&f)>(o|t)))&((d>o)|b))
| 1 | 1 | 0 | 0 |
entailment
|
((d&f)&(((d&b)&((f>o)>(d>f)))|(k&d)))
|
((d&d)|(b|t))
| 1 | 1 | 0 | 0 |
entailment
|
(~((b|d))&(~(d)&~((f>k))))
|
((d&d)|(b|t))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&f)&(((d&b)&((f>o)>(d>f)))|(k&d)))
|
((t|((t&f)>(o|t)))&((d>o)|b))
| 0 | 1 | 0 | 0 |
not entailment
|
((t|(t&t))&(((o&~(k))|((b|o)&k))&d))
|
(t>(d&d))
| 1 | 1 | 1 | 0 |
entailment
|
(((f&f)&b)&((f&t)&o))
|
(o>(t&(f|(k|k))))
| 1 | 1 | 0 | 0 |
entailment
|
((t|(t&t))&(((o&~(k))|((b|o)&k))&d))
|
(o>(t&(f|(k|k))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((f&f)&b)&((f&t)&o))
|
(t>(d&d))
| 0 | 1 | 0 | 0 |
not entailment
|
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