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 |
|---|---|---|---|---|---|---|
(c&(c>l))
|
((i&((z|d)>(i|i)))|(~(~((m|(i|i))))|c))
| 1 | 0 | 0 | 0 |
entailment
|
~((f>q))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
(c&(c>l))
|
~(q)
| 0 | 1 | 0 | 0 |
not entailment
|
~((f>q))
|
((i&((z|d)>(i|i)))|(~(~((m|(i|i))))|c))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&i)
|
(((c|z)>(f>~(~((d|u)))))|(l>~((l>l))))
| 1 | 0 | 0 | 0 |
entailment
|
((q|q)&~(c))
|
~((d&~(((((m&q)>~(q))&m)|(f|(q|z))))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&i)
|
~((d&~(((((m&q)>~(q))&m)|(f|(q|z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((q|q)&~(c))
|
(((c|z)>(f>~(~((d|u)))))|(l>~((l>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
((q|(~(l)|c))&~(~((d&q))))
|
((z&(u|l))>(~(d)>~((f|c))))
| 1 | 1 | 0 | 0 |
entailment
|
((~(((q|u)|q))&(~(~(i))&l))&~(u))
|
((((q&q)&(~(f)>u))&~(u))>((q>(z>i))>z))
| 1 | 0 | 0 | 0 |
entailment
|
((q|(~(l)|c))&~(~((d&q))))
|
((((q&q)&(~(f)>u))&~(u))>((q>(z>i))>z))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((q|u)|q))&(~(~(i))&l))&~(u))
|
((z&(u|l))>(~(d)>~((f|c))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((q&u)|(i>z)))
|
(((c&d)|l)|(q|i))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((u&u)|m))&(~(((i&d)|m))|z))
|
(~(u)&(((i>l)>((f|d)>d))>(q>q)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((q&u)|(i>z)))
|
(~(u)&(((i>l)>((f|d)>d))>(q>q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((u&u)|m))&(~(((i&d)|m))|z))
|
(((c&d)|l)|(q|i))
| 0 | 1 | 0 | 0 |
not entailment
|
(((f&c)&u)&d)
|
~(~((((c&z)&u)>(d&(z>(c>u))))))
| 1 | 0 | 0 | 0 |
entailment
|
((q|(l&((i>u)>i)))&~(l))
|
(q|q)
| 1 | 1 | 1 | 1 |
entailment
|
(((f&c)&u)&d)
|
(q|q)
| 0 | 1 | 0 | 0 |
not entailment
|
((q|(l&((i>u)>i)))&~(l))
|
~(~((((c&z)&u)>(d&(z>(c>u))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((m|u)&i)
|
(~((~((i|f))>i))>(z&(u|(m&i))))
| 1 | 0 | 0 | 0 |
entailment
|
~(m)
|
~(m)
| 1 | 1 | 1 | 1 |
entailment
|
((m|u)&i)
|
~(m)
| 0 | 1 | 1 | 0 |
not entailment
|
~(m)
|
(~((~((i|f))>i))>(z&(u|(m&i))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((m&c)|u)|m)&((l>c)&(z&q)))
|
(~((m|z))>((l&~(u))>~((q&d))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((i&i)&f)))&i)
|
~(((l|((c|m)|(f&f)))>(~((f&f))&(f|q))))
| 1 | 0 | 0 | 0 |
entailment
|
((((m&c)|u)|m)&((l>c)&(z&q)))
|
~(((l|((c|m)|(f&f)))>(~((f&f))&(f|q))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((i&i)&f)))&i)
|
(~((m|z))>((l&~(u))>~((q&d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(h)&l)))
|
(l&(l&l))
| 1 | 1 | 1 | 1 |
entailment
|
(~(l)&((h|(h&l))|(l|l)))
|
~(~(((l&h)|((h&h)|((l&l)&h)))))
| 1 | 0 | 1 | 1 |
entailment
|
~(~((~(h)&l)))
|
~(~(((l&h)|((h&h)|((l&l)&h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(l)&((h|(h&l))|(l|l)))
|
(l&(l&l))
| 0 | 1 | 1 | 1 |
not entailment
|
(h&((h|l)>((l|h)&l)))
|
((((l>(l>(l>l)))&h)&(h|(l&(l|h))))&l)
| 1 | 0 | 1 | 1 |
entailment
|
(((h>(l|h))&l)&(l>~((l>h))))
|
((((h>l)>h)|(~(h)>(~(l)|h)))>~(l))
| 1 | 0 | 1 | 1 |
entailment
|
(h&((h|l)>((l|h)&l)))
|
((((h>l)>h)|(~(h)>(~(l)|h)))>~(l))
| 0 | 0 | 1 | 1 |
not entailment
|
(((h>(l|h))&l)&(l>~((l>h))))
|
((((l>(l>(l>l)))&h)&(h|(l&(l|h))))&l)
| 0 | 0 | 1 | 1 |
not entailment
|
(l&(h>l))
|
(h>l)
| 1 | 1 | 1 | 1 |
entailment
|
(l>h)
|
(l>((~(h)|(l>h))&((~(h)|h)>h)))
| 1 | 0 | 1 | 0 |
entailment
|
(l&(h>l))
|
(l>((~(h)|(l>h))&((~(h)|h)>h)))
| 0 | 0 | 1 | 0 |
not entailment
|
(l>h)
|
(h>l)
| 0 | 1 | 1 | 0 |
not entailment
|
(l&l)
|
(l|h)
| 1 | 1 | 0 | 0 |
entailment
|
(((l|h)&h)>(((h&(l|l))&~(h))&l))
|
~(((h>h)&(~(~(l))&(h&h))))
| 1 | 1 | 1 | 1 |
entailment
|
(l&l)
|
~(((h>h)&(~(~(l))&(h&h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((l|h)&h)>(((h&(l|l))&~(h))&l))
|
(l|h)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((h>l))>l)
|
(~(~((h>l)))&(h|~(h)))
| 1 | 0 | 1 | 0 |
entailment
|
(((l|l)>(h>l))&h)
|
((l&l)>(((h>l)>h)|h))
| 1 | 0 | 1 | 1 |
entailment
|
(~((h>l))>l)
|
((l&l)>(((h>l)>h)|h))
| 0 | 0 | 1 | 0 |
not entailment
|
(((l|l)>(h>l))&h)
|
(~(~((h>l)))&(h|~(h)))
| 0 | 0 | 1 | 1 |
not entailment
|
((h>l)&~(~((~((h&h))>l))))
|
(l&l)
| 1 | 1 | 1 | 1 |
entailment
|
(((l&(l&h))>l)>h)
|
(h&h)
| 1 | 1 | 1 | 1 |
entailment
|
((h>l)&~(~((~((h&h))>l))))
|
(h&h)
| 0 | 1 | 1 | 1 |
not entailment
|
(((l&(l&h))>l)>h)
|
(l&l)
| 0 | 1 | 1 | 1 |
not entailment
|
((l&(h>(h>h)))&((l&h)>h))
|
(l|l)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(h))
|
((h|(h>h))>~((~((h|l))|~(h))))
| 1 | 0 | 0 | 0 |
entailment
|
((l&(h>(h>h)))&((l&h)>h))
|
((h|(h>h))>~((~((h|l))|~(h))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(~(h))
|
(l|l)
| 0 | 1 | 0 | 0 |
not entailment
|
(((h>l)>l)&l)
|
(((h&h)|l)|(l&l))
| 1 | 0 | 1 | 1 |
entailment
|
~(~((l>h)))
|
((l>h)|(l&(l>h)))
| 1 | 0 | 1 | 0 |
entailment
|
(((h>l)>l)&l)
|
((l>h)|(l&(l>h)))
| 0 | 0 | 1 | 1 |
not entailment
|
~(~((l>h)))
|
(((h&h)|l)|(l&l))
| 0 | 0 | 1 | 0 |
not entailment
|
(h|((h>~(~(h)))&h))
|
((h&~(l))|l)
| 1 | 1 | 0 | 0 |
entailment
|
~(((h>(~((l&~((l>h))))&(h>h)))&(l|h)))
|
(h>(l&(l&h)))
| 1 | 1 | 1 | 1 |
entailment
|
(h|((h>~(~(h)))&h))
|
(h>(l&(l&h)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((h>(~((l&~((l>h))))&(h>h)))&(l|h)))
|
((h&~(l))|l)
| 0 | 1 | 1 | 1 |
not entailment
|
((~((o>z))>((s|z)|((s&s)>z)))>(o|o))
|
(((o|(s&o))|(~((o|o))>(s|o)))|(o&(o&o)))
| 1 | 0 | 1 | 1 |
entailment
|
(~((~((z>z))&(s|s)))>(z|z))
|
((~(~(s))>((z|z)&z))|~((s|(o>s))))
| 1 | 0 | 0 | 0 |
entailment
|
((~((o>z))>((s|z)|((s&s)>z)))>(o|o))
|
((~(~(s))>((z|z)&z))|~((s|(o>s))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((~((z>z))&(s|s)))>(z|z))
|
(((o|(s&o))|(~((o|o))>(s|o)))|(o&(o&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o>z)&s)&((o|o)&z))
|
(~(~(~((~((o>s))&z))))&(o&(z|z)))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(((z&z)&s))|o))
|
~((o|o))
| 1 | 1 | 1 | 1 |
entailment
|
(((o>z)&s)&((o|o)&z))
|
~((o|o))
| 0 | 1 | 1 | 1 |
not entailment
|
~((~(((z&z)&s))|o))
|
(~(~(~((~((o>s))&z))))&(o&(z|z)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((z|~(o))&(o&s))&(~(z)|s))
|
((z&(s&z))|~(((s|o)|(o|(s&o)))))
| 1 | 0 | 1 | 0 |
entailment
|
~((((s|z)|(s&s))>o))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
(((z|~(o))&(o&s))&(~(z)|s))
|
~(o)
| 0 | 1 | 1 | 1 |
not entailment
|
~((((s|z)|(s&s))>o))
|
((z&(s&z))|~(((s|o)|(o|(s&o)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((o>(z>s))|(s>(s|z))))|~(~((s&z))))
|
(s&(~(o)|(o|z)))
| 1 | 1 | 1 | 0 |
entailment
|
((((o&(o>(o>z)))&~((o|o)))|o)|o)
|
~(~((((z>o)|o)&(((s|(o>s))|s)>s))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((o>(z>s))|(s>(s|z))))|~(~((s&z))))
|
~(~((((z>o)|o)&(((s|(o>s))|s)>s))))
| 0 | 1 | 1 | 1 |
not entailment
|
((((o&(o>(o>z)))&~((o|o)))|o)|o)
|
(s&(~(o)|(o|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(s)
|
~(((~((o&o))>s)&(s&~(z))))
| 1 | 0 | 0 | 0 |
entailment
|
((((s|o)|s)>o)&((s|s)|o))
|
(o|z)
| 1 | 1 | 0 | 0 |
entailment
|
~(s)
|
(o|z)
| 0 | 1 | 0 | 0 |
not entailment
|
((((s|o)|s)>o)&((s|s)|o))
|
~(((~((o&o))>s)&(s&~(z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&(s&z))
|
~(~((((o&z)|o)&~(~(((z|~(z))&o))))))
| 1 | 0 | 1 | 0 |
entailment
|
~((o|(((o&z)>(s|z))&s)))
|
(((o|o)&o)>~((o&o)))
| 1 | 1 | 1 | 1 |
entailment
|
(o&(s&z))
|
(((o|o)&o)>~((o&o)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((o|(((o&z)>(s|z))&s)))
|
~(~((((o&z)|o)&~(~(((z|~(z))&o))))))
| 0 | 0 | 1 | 1 |
not entailment
|
((o>o)&(~(s)&o))
|
((s|(((o|(o&s))>s)&z))>z)
| 1 | 0 | 0 | 0 |
entailment
|
(((~(o)>z)>(s&s))&o)
|
(s|s)
| 1 | 1 | 1 | 1 |
entailment
|
((o>o)&(~(s)&o))
|
(s|s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(o)>z)>(s&s))&o)
|
((s|(((o|(o&s))>s)&z))>z)
| 0 | 0 | 1 | 0 |
not entailment
|
((z>z)>s)
|
(z|s)
| 1 | 1 | 1 | 1 |
entailment
|
~((o>(~((~(z)|~(~(s))))|(z|z))))
|
(o&((~(s)|o)|(s&o)))
| 1 | 1 | 1 | 0 |
entailment
|
((z>z)>s)
|
(o&((~(s)|o)|(s&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((o>(~((~(z)|~(~(s))))|(z|z))))
|
(z|s)
| 0 | 1 | 1 | 0 |
not entailment
|
(((z|o)|((s&s)&z))&((o&(z&(z>z)))&(o|o)))
|
((o&(s>o))|~((z>(o&z))))
| 1 | 1 | 1 | 0 |
entailment
|
((~((s|~((o&(s&((z&z)|z))))))|o)>(s&s))
|
(((o>z)>((o&o)&o))>(s&~(~((o|z)))))
| 1 | 1 | 1 | 0 |
entailment
|
(((z|o)|((s&s)&z))&((o&(z&(z>z)))&(o|o)))
|
(((o>z)>((o&o)&o))>(s&~(~((o|z)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((s|~((o&(s&((z&z)|z))))))|o)>(s&s))
|
((o&(s>o))|~((z>(o&z))))
| 0 | 1 | 1 | 0 |
not entailment
|
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