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 |
|---|---|---|---|---|---|---|
~(~(((((b>d)>(b>d))&b)|b)))
|
(d>b)
| 1 | 1 | 1 | 1 |
entailment
|
(d|d)
|
(d&(d&d))
| 1 | 0 | 1 | 1 |
entailment
|
~(~(((((b>d)>(b>d))&b)|b)))
|
(d&(d&d))
| 0 | 1 | 1 | 1 |
not entailment
|
(d|d)
|
(d>b)
| 0 | 1 | 0 | 0 |
not entailment
|
((d>((d|(d&(b&d)))|b))>d)
|
(d&d)
| 1 | 1 | 1 | 1 |
entailment
|
(b&((b>d)>(b|(b&d))))
|
((b&d)|b)
| 1 | 1 | 1 | 1 |
entailment
|
((d>((d|(d&(b&d)))|b))>d)
|
((b&d)|b)
| 0 | 1 | 1 | 0 |
not entailment
|
(b&((b>d)>(b|(b&d))))
|
(d&d)
| 0 | 1 | 1 | 1 |
not entailment
|
((d>d)>d)
|
(((((b>d)&b)|b)>(~(d)>(~(b)&b)))>d)
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)|~(d))
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
((d>d)>d)
|
~(d)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(d)|~(d))
|
(((((b>d)&b)|b)>(~(d)>(~(b)&b)))>d)
| 0 | 0 | 0 | 0 |
not entailment
|
((k&j)&k)
|
((j&((j&k)|g))|g)
| 1 | 0 | 0 | 0 |
entailment
|
(~(j)&~((g&(g>g))))
|
(j>g)
| 1 | 1 | 1 | 1 |
entailment
|
((k&j)&k)
|
(j>g)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(j)&~((g&(g>g))))
|
((j&((j&k)|g))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((j>((g&k)|(g&g))))
|
(j|(k&(j>g)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(~(~(j)))&(k>~((j>g))))>g))
|
(~((g|(j&j)))&(g|(~(k)|(j&g))))
| 1 | 1 | 1 | 0 |
entailment
|
~((j>((g&k)|(g&g))))
|
(~((g|(j&j)))&(g|(~(k)|(j&g))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((~(~(~(j)))&(k>~((j>g))))>g))
|
(j|(k&(j>g)))
| 0 | 1 | 1 | 0 |
not entailment
|
((j|(g|k))&(k|g))
|
((~(j)>k)|g)
| 1 | 1 | 1 | 1 |
entailment
|
(~(g)|~(g))
|
((g|g)>((~(k)|j)|j))
| 1 | 0 | 0 | 0 |
entailment
|
((j|(g|k))&(k|g))
|
((g|g)>((~(k)|j)|j))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(g)|~(g))
|
((~(j)>k)|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(g)&~(j)))|~((j|k)))
|
((k>j)|(k>~(~((k>(g&k))))))
| 1 | 1 | 1 | 0 |
entailment
|
(k|j)
|
(((((j&g)|j)|j)&j)|k)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(g)&~(j)))|~((j|k)))
|
(((((j&g)|j)|j)&j)|k)
| 0 | 1 | 1 | 0 |
not entailment
|
(k|j)
|
((k>j)|(k>~(~((k>(g&k))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g>~((k&k))))
|
(((j|g)|j)&((j|g)|(((j|g)&g)>(g&g))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((k>j)>(j|j)))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
~((g>~((k&k))))
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k>j)>(j|j)))
|
(((j|g)|j)&((j|g)|(((j|g)&g)>(g&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(g)|k)>k))
|
(g>(~(j)|(k|k)))
| 1 | 1 | 0 | 0 |
entailment
|
(((k|g)|(g|k))&(j|j))
|
(k|(j|(j&j)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(g)|k)>k))
|
(k|(j|(j&j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((k|g)|(g|k))&(j|j))
|
(g>(~(j)|(k|k)))
| 0 | 1 | 1 | 0 |
not entailment
|
((k|g)&g)
|
((g&g)|(~(j)>((k|k)>(j|(((k|j)>j)&j)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(g)>j))&k)
|
((((j>g)>(~(j)|k))&j)>~(((k>j)>g)))
| 1 | 0 | 1 | 0 |
entailment
|
((k|g)&g)
|
((((j>g)>(~(j)|k))&j)>~(((k>j)>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(g)>j))&k)
|
((g&g)|(~(j)>((k|k)>(j|(((k|j)>j)&j)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(j&(~((k>g))>~((~(((k>k)|j))&(g|k)))))
|
((~((g|k))>g)>j)
| 1 | 1 | 1 | 1 |
entailment
|
((~((k&g))&~(j))&(k|~(g)))
|
((g&(g>((k|~(j))&g)))|~(g))
| 1 | 1 | 1 | 0 |
entailment
|
(j&(~((k>g))>~((~(((k>k)|j))&(g|k)))))
|
((g&(g>((k|~(j))&g)))|~(g))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((k&g))&~(j))&(k|~(g)))
|
((~((g|k))>g)>j)
| 0 | 1 | 1 | 0 |
not entailment
|
(g&(k>~(j)))
|
((j&~((j|k)))|(g&g))
| 1 | 0 | 1 | 0 |
entailment
|
((k&(j>(g&g)))|(((k|k)&j)&(k&k)))
|
(((~(j)&~((g>j)))>k)>((k>(k&(g&k)))>k))
| 1 | 0 | 1 | 0 |
entailment
|
(g&(k>~(j)))
|
(((~(j)&~((g>j)))>k)>((k>(k&(g&k)))>k))
| 0 | 0 | 1 | 0 |
not entailment
|
((k&(j>(g&g)))|(((k|k)&j)&(k&k)))
|
((j&~((j|k)))|(g&g))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((g&(g&k))))
|
(~(j)|k)
| 1 | 1 | 0 | 0 |
entailment
|
(((g|~((g|g)))|(k|(g>k)))&~(~(~(g))))
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((g&(g&k))))
|
~(g)
| 0 | 1 | 1 | 0 |
not entailment
|
(((g|~((g|g)))|(k|(g>k)))&~(~(~(g))))
|
(~(j)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(j))
|
((k|j)|(~(((k&~(j))&k))&((g|g)|k)))
| 1 | 0 | 0 | 0 |
entailment
|
((k>((j>j)>~(j)))&(((j>g)>j)>g))
|
(~(((g|j)>k))|(j>~(g)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(j))
|
(~(((g|j)>k))|(j>~(g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k>((j>j)>~(j)))&(((j>g)>j)>g))
|
((k|j)|(~(((k&~(j))&k))&((g|g)|k)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((j>k)>~((g|g))))
|
(g|~((~((k&k))|((((g&g)&k)&k)&~(k)))))
| 1 | 0 | 1 | 0 |
entailment
|
((g>((j|~(j))>g))>~(g))
|
(~(~((g|g)))>j)
| 1 | 1 | 1 | 1 |
entailment
|
~(((j>k)>~((g|g))))
|
(~(~((g|g)))>j)
| 0 | 1 | 1 | 0 |
not entailment
|
((g>((j|~(j))>g))>~(g))
|
(g|~((~((k&k))|((((g&g)&k)&k)&~(k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&k)&(g|g))
|
((k>~(j))>~((j&(g|g))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((((j>k)&(g|j))&k))>~(g)))
|
((j>k)>(~(j)&~((g&(g&k)))))
| 1 | 1 | 1 | 1 |
entailment
|
((k&k)&(g|g))
|
((j>k)>(~(j)&~((g&(g&k)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((((j>k)&(g|j))&k))>~(g)))
|
((k>~(j))>~((j&(g|g))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((g&g))
|
((g&(j&k))>~(j))
| 1 | 0 | 0 | 0 |
entailment
|
((g&(k|(k&j)))&j)
|
((g|j)>k)
| 1 | 1 | 1 | 0 |
entailment
|
~((g&g))
|
((g|j)>k)
| 0 | 1 | 0 | 0 |
not entailment
|
((g&(k|(k&j)))&j)
|
((g&(j&k))>~(j))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((k&(~(g)&g)))>~(j))
|
(k>~(j))
| 1 | 1 | 1 | 0 |
entailment
|
~((((j>((j&j)>j))&(j>g))|~(k)))
|
(k|(j&j))
| 1 | 1 | 1 | 1 |
entailment
|
(~((k&(~(g)&g)))>~(j))
|
(k|(j&j))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((j>((j&j)>j))&(j>g))|~(k)))
|
(k>~(j))
| 0 | 1 | 1 | 0 |
not entailment
|
(((e|(o>(a&e)))&~(a))&~(e))
|
~(((((e|(b|o))&(o&e))|o)&~((a|a))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h>~((o>h)))|(~(~((l>h)))&(b|l))))
|
(h>(b>a))
| 1 | 1 | 0 | 0 |
entailment
|
(((e|(o>(a&e)))&~(a))&~(e))
|
(h>(b>a))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h>~((o>h)))|(~(~((l>h)))&(b|l))))
|
~(((((e|(b|o))&(o&e))|o)&~((a|a))))
| 0 | 1 | 0 | 0 |
not entailment
|
(a|(~((o|e))&((o&e)&o)))
|
((o>((h&(q|(e|h)))|e))|(q|(o&a)))
| 1 | 0 | 0 | 0 |
entailment
|
((o&b)&~((b>(q|(o&h)))))
|
(q|(b|~(~(((l|h)&(h>(l&~(a))))))))
| 1 | 0 | 0 | 0 |
entailment
|
(a|(~((o|e))&((o&e)&o)))
|
(q|(b|~(~(((l|h)&(h>(l&~(a))))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&b)&~((b>(q|(o&h)))))
|
((o>((h&(q|(e|h)))|e))|(q|(o&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&l)
|
(~(l)>(o|l))
| 1 | 0 | 0 | 0 |
entailment
|
(b|~((~((e&q))>(e>~(o)))))
|
~(~((e|~(~(((b&e)|b))))))
| 1 | 1 | 1 | 1 |
entailment
|
(a&l)
|
~(~((e|~(~(((b&e)|b))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(b|~((~((e&q))>(e>~(o)))))
|
(~(l)>(o|l))
| 0 | 1 | 0 | 0 |
not entailment
|
((((h&e)&a)&b)&~(((o&q)|q)))
|
~(~((~(((l>b)|(a|(l>b))))>o)))
| 1 | 0 | 0 | 0 |
entailment
|
((((q|h)&l)&h)&(((a|(b&o))|(h&q))&~(e)))
|
~(e)
| 1 | 1 | 1 | 1 |
entailment
|
((((h&e)&a)&b)&~(((o&q)|q)))
|
~(e)
| 0 | 1 | 1 | 0 |
not entailment
|
((((q|h)&l)&h)&(((a|(b&o))|(h&q))&~(e)))
|
~(~((~(((l>b)|(a|(l>b))))>o)))
| 0 | 1 | 1 | 0 |
not entailment
|
(o|(e&b))
|
((b|l)|o)
| 1 | 1 | 0 | 0 |
entailment
|
~((a|o))
|
(~(o)|((a|((a&q)>q))&(l&b)))
| 1 | 0 | 0 | 0 |
entailment
|
(o|(e&b))
|
(~(o)|((a|((a&q)>q))&(l&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|o))
|
((b|l)|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((b&(b>~(~(l))))&(h>~(o)))
|
((b|o)|(l|a))
| 1 | 1 | 0 | 0 |
entailment
|
~((l|b))
|
(((((o>l)|(q&e))>~(b))|o)>~(b))
| 1 | 0 | 0 | 0 |
entailment
|
((b&(b>~(~(l))))&(h>~(o)))
|
(((((o>l)|(q&e))>~(b))|o)>~(b))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l|b))
|
((b|o)|(l|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(l|~((h|l))))
|
(~(~((l|h)))|~(e))
| 1 | 0 | 0 | 0 |
entailment
|
(~(e)>(e&(h&a)))
|
((e|e)|(l>(a|a)))
| 1 | 1 | 0 | 0 |
entailment
|
(l&(l|~((h|l))))
|
((e|e)|(l>(a|a)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(e)>(e&(h&a)))
|
(~(~((l|h)))|~(e))
| 0 | 0 | 0 | 0 |
not entailment
|
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