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&(((d|r)&((((s>r)>d)|(r&g))&r))>(r&r)))
|
~(~((~(((r&r)>~(d)))|((s|q)|d))))
| 1 | 1 | 0 | 0 |
entailment
|
~(s)
|
((s>q)|(d&g))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(((d|r)&((((s>r)>d)|(r&g))&r))>(r&r)))
|
((s>q)|(d&g))
| 0 | 1 | 0 | 0 |
not entailment
|
~(s)
|
~(~((~(((r&r)>~(d)))|((s|q)|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((s&d)>q)&q)
|
((q|(d&q))&((g|~(~(d)))>q))
| 1 | 0 | 0 | 0 |
entailment
|
((d>r)&r)
|
(((q|s)|d)>(g>r))
| 1 | 0 | 0 | 0 |
entailment
|
(((s&d)>q)&q)
|
(((q|s)|d)>(g>r))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>r)&r)
|
((q|(d&q))&((g|~(~(d)))>q))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(g)|~(s))
|
((((s|s)&((q>(r>g))&g))>(g>r))|(g&(q|q)))
| 1 | 0 | 0 | 0 |
entailment
|
((g|(r&g))&(r>q))
|
((((r|(s&d))|r)|g)|(d|r))
| 1 | 0 | 0 | 0 |
entailment
|
(~(g)|~(s))
|
((((r|(s&d))|r)|g)|(d|r))
| 0 | 0 | 0 | 0 |
not entailment
|
((g|(r&g))&(r>q))
|
((((s|s)&((q>(r>g))&g))>(g>r))|(g&(q|q)))
| 0 | 0 | 0 | 0 |
not entailment
|
((s>~(g))&~(r))
|
((q>q)&((g&(g>r))>q))
| 1 | 0 | 0 | 0 |
entailment
|
~((r>d))
|
(s>((q|s)&(g|(r&s))))
| 1 | 0 | 0 | 0 |
entailment
|
((s>~(g))&~(r))
|
(s>((q|s)&(g|(r&s))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r>d))
|
((q>q)&((g&(g>r))>q))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q&(d&~((s|q))))&(q>(q|d)))|~(r))
|
(~(r)|~((((r>r)>d)|((d>r)|g))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((g&((q|r)|((g&(r>r))&((g>g)|q)))))&s)
|
((r|(d>s))|((r|q)|q))
| 1 | 1 | 0 | 0 |
entailment
|
(((q&(d&~((s|q))))&(q>(q|d)))|~(r))
|
((r|(d>s))|((r|q)|q))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((g&((q|r)|((g&(r>r))&((g>g)|q)))))&s)
|
(~(r)|~((((r>r)>d)|((d>r)|g))))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|d)>((q>((s|d)|q))&s))
|
(s|~(((d&r)&q)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(r))>g)&d)
|
((~(((s>g)|~((d>(s&d)))))&(s>r))|d)
| 1 | 0 | 0 | 0 |
entailment
|
((s|d)>((q>((s|d)|q))&s))
|
((~(((s>g)|~((d>(s&d)))))&(s>r))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(r))>g)&d)
|
(s|~(((d&r)&q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g>r))&(~(d)&g))
|
((~((d>~((g|r))))>((d&g)&(d|r)))&g)
| 1 | 0 | 1 | 0 |
entailment
|
~(((s|~(s))&(q&q)))
|
((r&s)|(q>(((g>r)>r)>(s&q))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g>r))&(~(d)&g))
|
((r&s)|(q>(((g>r)>r)>(s&q))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s|~(s))&(q&q)))
|
((~((d>~((g|r))))>((d&g)&(d|r)))&g)
| 0 | 0 | 0 | 0 |
not entailment
|
~((q>(r&(g>g))))
|
((d|q)&((r|d)|~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(q)&(((s>r)&s)|q))
|
((q|(q&d))>((q&d)>r))
| 1 | 1 | 0 | 0 |
entailment
|
~((q>(r&(g>g))))
|
((q|(q&d))>((q&d)>r))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(q)&(((s>r)&s)|q))
|
((d|q)&((r|d)|~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((q|(q&r))&~(s))
|
(d>q)
| 1 | 1 | 0 | 0 |
entailment
|
(~(s)&(q>(~(d)&q)))
|
~(~((~((d&q))|(g&(~(~(s))>(r&s))))))
| 1 | 0 | 0 | 0 |
entailment
|
((q|(q&r))&~(s))
|
~(~((~((d&q))|(g&(~(~(s))>(r&s))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(s)&(q>(~(d)&q)))
|
(d>q)
| 0 | 1 | 1 | 1 |
not entailment
|
((g|r)&(g|d))
|
(~((g|r))>q)
| 1 | 1 | 0 | 0 |
entailment
|
((s&s)&d)
|
((q|(~(d)>~(g)))&(s|(d|q)))
| 1 | 0 | 0 | 0 |
entailment
|
((g|r)&(g|d))
|
((q|(~(d)>~(g)))&(s|(d|q)))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&s)&d)
|
(~((g|r))>q)
| 0 | 0 | 0 | 0 |
not entailment
|
(d&r)
|
(((r|r)|(q|d))|((~(g)>d)|(d|r)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(q)&(r>(~(r)>d)))
|
(q>((q|(g|s))&~((r&(s|g)))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&r)
|
(q>((q|(g|s))&~((r&(s|g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(q)&(r>(~(r)>d)))
|
(((r|r)|(q|d))|((~(g)>d)|(d|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&((t&s)>h))&(s>(i&o)))
|
((o&~(h))>~((t|h)))
| 1 | 1 | 1 | 0 |
entailment
|
((s&(~(~((o|s)))>i))&(h>i))
|
(((~(h)|t)>~((t>h)))|s)
| 1 | 1 | 0 | 0 |
entailment
|
((h&((t&s)>h))&(s>(i&o)))
|
(((~(h)|t)>~((t>h)))|s)
| 0 | 1 | 1 | 0 |
not entailment
|
((s&(~(~((o|s)))>i))&(h>i))
|
((o&~(h))>~((t|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&i)
|
((i>s)|(s|((s&h)|h)))
| 1 | 0 | 0 | 0 |
entailment
|
(t|~(~(~(~(~((o>o)))))))
|
(((s|t)|(i&s))&t)
| 1 | 1 | 0 | 0 |
entailment
|
(h&i)
|
(((s|t)|(i&s))&t)
| 0 | 0 | 0 | 0 |
not entailment
|
(t|~(~(~(~(~((o>o)))))))
|
((i>s)|(s|((s&h)|h)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((h&h)&(i|((o|i)>h)))&(t>o))
|
(~(o)>(h>~((t&((h|t)&t)))))
| 1 | 1 | 1 | 0 |
entailment
|
((h&i)&t)
|
(~((s&i))>((~((h>(t>s)))>i)>(t&i)))
| 1 | 0 | 0 | 0 |
entailment
|
(((h&h)&(i|((o|i)>h)))&(t>o))
|
(~((s&i))>((~((h>(t>s)))>i)>(t&i)))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&i)&t)
|
(~(o)>(h>~((t&((h|t)&t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(o)|(h&((h>t)&(o|t))))&~(~(i)))
|
((i|h)|(((s|t)>i)&(o>~((h|h)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((i|(s>(t&(o|h)))))&((i|s)|i))>h))
|
(~((s|s))>h)
| 1 | 1 | 1 | 0 |
entailment
|
((~(o)|(h&((h>t)&(o|t))))&~(~(i)))
|
(~((s|s))>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((i|(s>(t&(o|h)))))&((i|s)|i))>h))
|
((i|h)|(((s|t)>i)&(o>~((h|h)))))
| 0 | 1 | 1 | 0 |
not entailment
|
(s&(h&~(o)))
|
(t|h)
| 1 | 1 | 0 | 0 |
entailment
|
(((t&t)>(~(t)>~(~(~(i)))))>~((o|t)))
|
~((t|o))
| 1 | 1 | 1 | 1 |
entailment
|
(s&(h&~(o)))
|
~((t|o))
| 0 | 1 | 0 | 0 |
not entailment
|
(((t&t)>(~(t)>~(~(~(i)))))>~((o|t)))
|
(t|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~((s>(o&i)))
|
(i|s)
| 1 | 1 | 1 | 0 |
entailment
|
((o|~(~(s)))&t)
|
(t|i)
| 1 | 1 | 0 | 0 |
entailment
|
~((s>(o&i)))
|
(t|i)
| 0 | 1 | 0 | 0 |
not entailment
|
((o|~(~(s)))&t)
|
(i|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((~(h)>t)|i))|(t|~(h))))
|
(s|(h|t))
| 1 | 1 | 0 | 0 |
entailment
|
~((i|s))
|
((t>h)>~(i))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((~(h)>t)|i))|(t|~(h))))
|
((t>h)>~(i))
| 0 | 1 | 1 | 0 |
not entailment
|
~((i|s))
|
(s|(h|t))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&h)
|
(i|((h&i)|((s|h)&((h|t)|(o|(~(o)|o))))))
| 1 | 0 | 0 | 0 |
entailment
|
((o>i)&~(((i|s)|s)))
|
((i|i)>(o&t))
| 1 | 1 | 0 | 0 |
entailment
|
(i&h)
|
((i|i)>(o&t))
| 0 | 0 | 0 | 0 |
not entailment
|
((o>i)&~(((i|s)|s)))
|
(i|((h&i)|((s|h)&((h|t)|(o|(~(o)|o))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((h|t))&i)
|
((((o>o)>~((i|t)))&(h|i))|((s&s)|~(h)))
| 1 | 0 | 0 | 0 |
entailment
|
((h&(h&t))|((s|h)|(((h>s)>h)&h)))
|
((h|s)|(t&h))
| 1 | 1 | 1 | 1 |
entailment
|
(~((h|t))&i)
|
((h|s)|(t&h))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&(h&t))|((s|h)|(((h>s)>h)&h)))
|
((((o>o)>~((i|t)))&(h|i))|((s&s)|~(h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&~(~(((h&s)|s))))
|
((o&(t>(h>i)))>(i|((s>h)&h)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(((s>i)>o))>~((~((s>i))>o)))&(s&t))
|
(~((~((s|((s&(s&~((h>s))))>h)))|i))|o)
| 1 | 1 | 0 | 0 |
entailment
|
(h&~(~(((h&s)|s))))
|
(~((~((s|((s&(s&~((h>s))))>h)))|i))|o)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((s>i)>o))>~((~((s>i))>o)))&(s&t))
|
((o&(t>(h>i)))>(i|((s>h)&h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((s>o))>i))
|
(~(o)|t)
| 1 | 1 | 0 | 0 |
entailment
|
(i&o)
|
((o|(t|((o>o)&o)))|(o|h))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((s>o))>i))
|
((o|(t|((o>o)&o)))|(o|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(i&o)
|
(~(o)|t)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((i&h)|~(((~(h)|(o&(t&s)))|(t>h)))))
|
(i>(h>(s|s)))
| 1 | 1 | 1 | 1 |
entailment
|
((s&(t|t))|o)
|
(~(t)>o)
| 1 | 1 | 1 | 1 |
entailment
|
~(((i&h)|~(((~(h)|(o&(t&s)))|(t>h)))))
|
(~(t)>o)
| 0 | 1 | 1 | 1 |
not entailment
|
((s&(t|t))|o)
|
(i>(h>(s|s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(((s|s)>t))&h))&((s&h)&o))
|
((i&s)|((t&t)|t))
| 1 | 1 | 0 | 0 |
entailment
|
((h>h)&i)
|
(~(o)|i)
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(((s|s)>t))&h))&((s&h)&o))
|
(~(o)|i)
| 0 | 1 | 0 | 0 |
not entailment
|
((h>h)&i)
|
((i&s)|((t&t)|t))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s>(t|h)))
|
(~((o&(h>o)))|s)
| 1 | 0 | 0 | 0 |
entailment
|
(((t>(~(o)|~(s)))|(h>s))&o)
|
((((t&h)&(s>s))|(h|o))|t)
| 1 | 1 | 1 | 0 |
entailment
|
~((s>(t|h)))
|
((((t&h)&(s>s))|(h|o))|t)
| 0 | 0 | 0 | 0 |
not entailment
|
(((t>(~(o)|~(s)))|(h>s))&o)
|
(~((o&(h>o)))|s)
| 0 | 1 | 1 | 0 |
not entailment
|
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