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 |
|---|---|---|---|---|---|---|
(a&t)
|
((((p&p)>(a&p))>(a>(x|(p>q))))>(p>a))
| 1 | 0 | 0 | 0 |
entailment
|
(~(q)&(((t|a)>t)&((t&x)&t)))
|
~(~((~((q|x))>q)))
| 1 | 1 | 1 | 0 |
entailment
|
(a&t)
|
~(~((~((q|x))>q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(q)&(((t|a)>t)&((t&x)&t)))
|
((((p&p)>(a&p))>(a>(x|(p>q))))>(p>a))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(a)&(q>x))|(a&(a>((a&(t&q))|(x&x)))))
|
((((a>p)>q)>((p>(p>t))>(x|a)))|x)
| 1 | 1 | 0 | 0 |
entailment
|
((t&(x>x))&~(~(((t>t)>((p&q)&(x>a))))))
|
(~(x)>~((~((~(t)>a))&((p|x)|(x&q)))))
| 1 | 1 | 1 | 0 |
entailment
|
((~(a)&(q>x))|(a&(a>((a&(t&q))|(x&x)))))
|
(~(x)>~((~((~(t)>a))&((p|x)|(x&q)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&(x>x))&~(~(((t>t)>((p&q)&(x>a))))))
|
((((a>p)>q)>((p>(p>t))>(x|a)))|x)
| 0 | 1 | 1 | 0 |
not entailment
|
~((a>t))
|
(p>(t|a))
| 1 | 1 | 0 | 0 |
entailment
|
(q&p)
|
(((q>((t|(p&a))&~((q&~(q)))))&(q>t))>p)
| 1 | 0 | 0 | 0 |
entailment
|
~((a>t))
|
(((q>((t|(p&a))&~((q&~(q)))))&(q>t))>p)
| 0 | 0 | 0 | 0 |
not entailment
|
(q&p)
|
(p>(t|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((q>q)>~(p))|(a>(p|t)))|p)&q)
|
(q|a)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(~((p>~(t))))&(q>q)))
|
((q|a)>(t|x))
| 1 | 1 | 0 | 0 |
entailment
|
(((((q>q)>~(p))|(a>(p|t)))|p)&q)
|
((q|a)>(t|x))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((p>~(t))))&(q>q)))
|
(q|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(q&~(~((~(~(p))&(a&(a&t))))))
|
(~((a>~(~((t&t)))))>(~((a>t))&(t|p)))
| 1 | 0 | 1 | 0 |
entailment
|
~(q)
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
(q&~(~((~(~(p))&(a&(a&t))))))
|
~(q)
| 0 | 1 | 1 | 0 |
not entailment
|
~(q)
|
(~((a>~(~((t&t)))))>(~((a>t))&(t|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((q|a)&(t&t))
|
(((a|p)>(x&a))|((p&x)>((p>(t&q))|~(t))))
| 1 | 0 | 0 | 0 |
entailment
|
(p&((q|p)>x))
|
(x|(a&((p&q)|t)))
| 1 | 0 | 0 | 0 |
entailment
|
((q|a)&(t&t))
|
(x|(a&((p&q)|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&((q|p)>x))
|
(((a|p)>(x&a))|((p&x)>((p>(t&q))|~(t))))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&t)
|
((~((t>x))&(t&a))>~((t>(x>(t|x)))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(~((a|q))>q))
|
((t>q)|a)
| 1 | 1 | 1 | 0 |
entailment
|
(x&t)
|
((t>q)|a)
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(~((a|q))>q))
|
((~((t>x))&(t&a))>~((t>(x>(t|x)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((p&(((((a&a)>(t>p))&x)|a)>a))&a)
|
(q>(p|x))
| 1 | 1 | 0 | 0 |
entailment
|
(((q&(x&((a&(p>t))|~(a))))>q)>t)
|
(t|~(((x&(t>q))&(q|(a&((x|a)&q))))))
| 1 | 0 | 1 | 0 |
entailment
|
((p&(((((a&a)>(t>p))&x)|a)>a))&a)
|
(t|~(((x&(t>q))&(q|(a&((x|a)&q))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q&(x&((a&(p>t))|~(a))))>q)>t)
|
(q>(p|x))
| 0 | 1 | 1 | 0 |
not entailment
|
(x&(((q&a)|a)|a))
|
(~(~(~(a)))>(q>(((t>q)|q)&~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
(p|p)
|
((((q&x)|a)&q)|(x>~(~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
(x&(((q&a)|a)|a))
|
((((q&x)|a)&q)|(x>~(~(p))))
| 0 | 0 | 0 | 0 |
not entailment
|
(p|p)
|
(~(~(~(a)))>(q>(((t>q)|q)&~(p))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&a)&(q|~(t)))
|
((a|p)&((x|a)|p))
| 1 | 1 | 0 | 0 |
entailment
|
(t&((x&(a>(((q>(a|x))>p)|q)))>(q|(a&q))))
|
(((p>~(p))>(q&((q|p)>p)))|(p|(t|t)))
| 1 | 1 | 1 | 0 |
entailment
|
((x&a)&(q|~(t)))
|
(((p>~(p))>(q&((q|p)>p)))|(p|(t|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&((x&(a>(((q>(a|x))>p)|q)))>(q|(a&q))))
|
((a|p)&((x|a)|p))
| 0 | 1 | 1 | 0 |
not entailment
|
((t|t)&p)
|
(((t>t)&(x|p))>p)
| 1 | 0 | 0 | 0 |
entailment
|
~((q>(q&p)))
|
((t>~(t))|(q|((q>p)>(q&t))))
| 1 | 0 | 0 | 0 |
entailment
|
((t|t)&p)
|
((t>~(t))|(q|((q>p)>(q&t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q>(q&p)))
|
(((t>t)&(x|p))>p)
| 0 | 0 | 0 | 0 |
not entailment
|
((t|a)>(((q>(a|p))>x)&p))
|
(~((a|a))|x)
| 1 | 1 | 1 | 1 |
entailment
|
(((((((x|q)>t)|q)|p)>(p|x))>((p&p)>t))&q)
|
(x|(~((p|~(q)))|p))
| 1 | 1 | 1 | 0 |
entailment
|
((t|a)>(((q>(a|p))>x)&p))
|
(x|(~((p|~(q)))|p))
| 0 | 1 | 1 | 1 |
not entailment
|
(((((((x|q)>t)|q)|p)>(p|x))>((p&p)>t))&q)
|
(~((a|a))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((q>q)|((a>a)>t))>(~(~(a))|q))>x))
|
(((a|q)|x)|~(((p&t)|q)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((t>q)|p)|(p|x))&q))
|
((a&t)|~(q))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((q>q)|((a>a)>t))>(~(~(a))|q))>x))
|
((a&t)|~(q))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((t>q)|p)|(p|x))&q))
|
(((a|q)|x)|~(((p&t)|q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(a|((((q&x)|a)&~((t>a)))|a))
|
(x|a)
| 1 | 1 | 1 | 1 |
entailment
|
~((((a>t)|(a>p))&p))
|
(((p>x)|p)&~(~((t>~(p)))))
| 1 | 0 | 0 | 0 |
entailment
|
(a|((((q&x)|a)&~((t>a)))|a))
|
(((p>x)|p)&~(~((t>~(p)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((a>t)|(a>p))&p))
|
(x|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(t|t)
|
(t&(c>c))
| 1 | 0 | 0 | 0 |
entailment
|
(l&g)
|
(((g|(c|c))|l)|((l&t)&c))
| 1 | 0 | 0 | 0 |
entailment
|
(t|t)
|
(((g|(c|c))|l)|((l&t)&c))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&g)
|
(t&(c>c))
| 0 | 0 | 0 | 0 |
not entailment
|
(c>g)
|
(c>(g|t))
| 1 | 0 | 0 | 0 |
entailment
|
((g&(l&l))|~((l>~(c))))
|
~(~(((l|c)|(((t>t)|(g>(c&l)))&c))))
| 1 | 0 | 0 | 0 |
entailment
|
(c>g)
|
~(~(((l|c)|(((t>t)|(g>(c&l)))&c))))
| 0 | 0 | 0 | 0 |
not entailment
|
((g&(l&l))|~((l>~(c))))
|
(c>(g|t))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(g&~(t)))
|
~(~(((c|l)|(g|(g&g)))))
| 1 | 0 | 0 | 0 |
entailment
|
((t|t)&~(l))
|
(~((g&c))|t)
| 1 | 1 | 0 | 0 |
entailment
|
(l&(g&~(t)))
|
(~((g&c))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
((t|t)&~(l))
|
~(~(((c|l)|(g|(g&g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((l>c)>g)&(l&t))
|
(t|~(((l>~(c))>l)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(c)>((c&c)|g)))
|
~(((((t&t)&c)&l)&g))
| 1 | 1 | 0 | 0 |
entailment
|
(((l>c)>g)&(l&t))
|
~(((((t&t)&c)&l)&g))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~(c)>((c&c)|g)))
|
(t|~(((l>~(c))>l)))
| 0 | 1 | 0 | 0 |
not entailment
|
((t>c)&~((~(g)&(c|(c|~(~((c&t))))))))
|
((c>g)|(~((c&(~(t)|g)))&c))
| 1 | 1 | 1 | 0 |
entailment
|
((~((l&c))|(t&(l&l)))>(g&c))
|
((~(g)>(g|t))|c)
| 1 | 1 | 1 | 0 |
entailment
|
((t>c)&~((~(g)&(c|(c|~(~((c&t))))))))
|
((~(g)>(g|t))|c)
| 0 | 1 | 1 | 0 |
not entailment
|
((~((l&c))|(t&(l&l)))>(g&c))
|
((c>g)|(~((c&(~(t)|g)))&c))
| 0 | 1 | 1 | 0 |
not entailment
|
((g|(g&(l>t)))&((g>t)&g))
|
((c>((c>c)&g))&((c|l)>g))
| 1 | 1 | 0 | 0 |
entailment
|
((~((c&g))&~(c))>(l&(c&g)))
|
((c>((c|l)>l))>((g&g)>l))
| 1 | 1 | 1 | 0 |
entailment
|
((g|(g&(l>t)))&((g>t)&g))
|
((c>((c|l)>l))>((g&g)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((c&g))&~(c))>(l&(c&g)))
|
((c>((c>c)&g))&((c|l)>g))
| 0 | 1 | 1 | 0 |
not entailment
|
~((t|l))
|
(g|~(l))
| 1 | 1 | 0 | 0 |
entailment
|
(c&(~(((l|(l|c))|(g|(g>t))))|l))
|
(~(c)>l)
| 1 | 1 | 1 | 1 |
entailment
|
~((t|l))
|
(~(c)>l)
| 0 | 1 | 0 | 0 |
not entailment
|
(c&(~(((l|(l|c))|(g|(g>t))))|l))
|
(g|~(l))
| 0 | 1 | 1 | 1 |
not entailment
|
(g&((t>~(t))>(t&l)))
|
(~(((l|c)>c))>t)
| 1 | 1 | 0 | 0 |
entailment
|
~((c&((l|c)&((l&t)>((t>g)>(c>g))))))
|
~((c&~(~((~((l|l))>~((g|~(g))))))))
| 1 | 0 | 1 | 1 |
entailment
|
(g&((t>~(t))>(t&l)))
|
~((c&~(~((~((l|l))>~((g|~(g))))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c&((l|c)&((l&t)>((t>g)>(c>g))))))
|
(~(((l|c)>c))>t)
| 0 | 1 | 1 | 1 |
not entailment
|
~((~((c>(c>(g>c))))|c))
|
(c>t)
| 1 | 1 | 0 | 0 |
entailment
|
(((g|c)>((l&l)|l))&c)
|
(l|(t&(c|g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((c>(c>(g>c))))|c))
|
(l|(t&(c|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((g|c)>((l&l)|l))&c)
|
(c>t)
| 0 | 1 | 0 | 0 |
not entailment
|
(((l>l)&(((~(~(t))&c)&t)&t))&(l&t))
|
~((~(c)&(~(t)>g)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(l)|g)&l)
|
(~((t|((c|t)>~(g))))|((l|~(l))>(l>g)))
| 1 | 0 | 0 | 0 |
entailment
|
(((l>l)&(((~(~(t))&c)&t)&t))&(l&t))
|
(~((t|((c|t)>~(g))))|((l|~(l))>(l>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(l)|g)&l)
|
~((~(c)&(~(t)>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&t)
|
((t>(((c>t)|t)>(l>(l|c))))>l)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(c)>((t|(l>t))>l)))
|
(((l|g)&(((l>l)|~(c))&l))>~(c))
| 1 | 0 | 0 | 0 |
entailment
|
(l&t)
|
(((l|g)&(((l>l)|~(c))&l))>~(c))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(c)>((t|(l>t))>l)))
|
((t>(((c>t)|t)>(l>(l|c))))>l)
| 0 | 0 | 1 | 0 |
not entailment
|
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