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 |
|---|---|---|---|---|---|---|
(m|(n&m))
|
((((w>i)|(v>z))&z)|(v&((i>p)&(p>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(p&((v>v)>((z&((~(p)>w)>n))&(w|(n>n)))))
|
(m|p)
| 1 | 1 | 0 | 0 |
entailment
|
~((z|(((f&i)|(v&(m&(h>w))))&(p|w))))
|
~(~((((v&v)>i)>~(z))))
| 1 | 1 | 1 | 0 |
entailment
|
(p&((v>v)>((z&((~(p)>w)>n))&(w|(n>n)))))
|
~(~((((v&v)>i)>~(z))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z|(((f&i)|(v&(m&(h>w))))&(p|w))))
|
(m|p)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((w|m)>f)>~(f))>(m|~((h|h)))))
|
((w|i)>(((p&v)>p)>h))
| 1 | 1 | 0 | 0 |
entailment
|
(((l|n)&m)&l)
|
(((l>(m|m))|(~(v)&m))|~((~(n)>l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((w|m)>f)>~(f))>(m|~((h|h)))))
|
(((l>(m|m))|(~(v)&m))|~((~(n)>l)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((l|n)&m)&l)
|
((w|i)>(((p&v)>p)>h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((m&((~(i)|~(w))|i))))
|
(~(f)|((m&f)|~(((((i&v)|p)&(z&n))&l))))
| 1 | 0 | 0 | 0 |
entailment
|
((w|z)&~((~((n>~((n>i))))>(i&w))))
|
((~(z)>(f|z))&(~(~((l&m)))>n))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((m&((~(i)|~(w))|i))))
|
((~(z)>(f|z))&(~(~((l&m)))>n))
| 0 | 0 | 0 | 0 |
not entailment
|
((w|z)&~((~((n>~((n>i))))>(i&w))))
|
(~(f)|((m&f)|~(((((i&v)|p)&(z&n))&l))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(p)>g)&(r&~(b)))
|
((b>~(b))&~((b&d)))
| 1 | 1 | 0 | 0 |
entailment
|
~((r>g))
|
(~((s|(~(g)|p)))>(s&~(p)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(p)>g)&(r&~(b)))
|
(~((s|(~(g)|p)))>(s&~(p)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r>g))
|
((b>~(b))&~((b&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(r)|(~(~(b))&((l&h)>(f|(b|l)))))&s)
|
(b|s)
| 1 | 1 | 1 | 1 |
entailment
|
(~((h|((b&d)|~(((g&p)&l)))))&(l>~(r)))
|
~((g>h))
| 1 | 1 | 1 | 1 |
entailment
|
((~(r)|(~(~(b))&((l&h)>(f|(b|l)))))&s)
|
~((g>h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((h|((b&d)|~(((g&p)&l)))))&(l>~(r)))
|
(b|s)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((~(((f&g)&s))>~(((f&p)|(b|b))))))
|
(((s>b)&f)>(b>s))
| 1 | 1 | 1 | 1 |
entailment
|
(((~(s)&h)&(b|g))&~(o))
|
(s|((h|o)|g))
| 1 | 1 | 1 | 0 |
entailment
|
~(~((~(((f&g)&s))>~(((f&p)|(b|b))))))
|
(s|((h|o)|g))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(s)&h)&(b|g))&~(o))
|
(((s>b)&f)>(b>s))
| 0 | 1 | 0 | 0 |
not entailment
|
(g|g)
|
((g|(f&f))|~((((o&s)&b)|d)))
| 1 | 0 | 0 | 0 |
entailment
|
((s&(l|l))&(o|p))
|
((f|(h>r))|((((l|g)|f)>(p>(b>p)))&(s&s)))
| 1 | 0 | 0 | 0 |
entailment
|
(g|g)
|
((f|(h>r))|((((l|g)|f)>(p>(b>p)))&(s&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&(l|l))&(o|p))
|
((g|(f&f))|~((((o&s)&b)|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&(o&(g|(d&o))))
|
(l|g)
| 1 | 1 | 1 | 1 |
entailment
|
(~((((p&r)&~(~(p)))>~(d)))&f)
|
(~((~((s&(r&p)))&b))|((o|b)>~((d&s))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&(o&(g|(d&o))))
|
(~((~((s&(r&p)))&b))|((o|b)>~((d&s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((p&r)&~(~(p)))>~(d)))&f)
|
(l|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((g&b)|f)))&((g>p)&g))
|
(l|((h>p)>g))
| 1 | 1 | 0 | 0 |
entailment
|
((((((h&s)&f)>p)|p)>h)&~(f))
|
(~(h)>d)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((g&b)|f)))&((g>p)&g))
|
(~(h)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
((((((h&s)&f)>p)|p)>h)&~(f))
|
(l|((h>p)>g))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&f)&o)
|
((r&(~(f)&h))|d)
| 1 | 0 | 0 | 0 |
entailment
|
(g&((f|r)|(((l|~(p))&(~(o)>(h>p)))|o)))
|
(h|g)
| 1 | 1 | 1 | 0 |
entailment
|
((d&f)&o)
|
(h|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&((f|r)|(((l|~(p))&(~(o)>(h>p)))|o)))
|
((r&(~(f)&h))|d)
| 0 | 1 | 0 | 0 |
not entailment
|
((d&b)&((r&(b&(f|g)))|((o|h)>p)))
|
((d&(d>g))|(o>b))
| 1 | 1 | 1 | 0 |
entailment
|
(f&f)
|
(p>f)
| 1 | 1 | 0 | 0 |
entailment
|
((d&b)&((r&(b&(f|g)))|((o|h)>p)))
|
(p>f)
| 0 | 1 | 1 | 0 |
not entailment
|
(f&f)
|
((d&(d>g))|(o>b))
| 0 | 0 | 0 | 0 |
not entailment
|
((h>~((d>p)))&(((l&b)&h)&(s|p)))
|
((b|g)>~(~(d)))
| 1 | 1 | 0 | 0 |
entailment
|
((~((~(o)&h))&(l&g))&~(((l|o)>r)))
|
(r>o)
| 1 | 1 | 1 | 1 |
entailment
|
((h>~((d>p)))&(((l&b)&h)&(s|p)))
|
(r>o)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((~(o)&h))&(l&g))&~(((l|o)>r)))
|
((b|g)>~(~(d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((b>h)|p)>f)&(d>(g>l)))
|
((((p&~(l))>f)|d)|h)
| 1 | 1 | 1 | 0 |
entailment
|
(b&~(~((~(g)|d))))
|
(b|b)
| 1 | 1 | 1 | 1 |
entailment
|
((((b>h)|p)>f)&(d>(g>l)))
|
(b|b)
| 0 | 1 | 1 | 1 |
not entailment
|
(b&~(~((~(g)|d))))
|
((((p&~(l))>f)|d)|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((s&l)>(((s&l)|r)>r)))
|
(~(((((r>o)|b)|~(r))|~(p)))>d)
| 1 | 0 | 0 | 0 |
entailment
|
~(l)
|
~(~((~(l)|p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((s&l)>(((s&l)|r)>r)))
|
~(~((~(l)|p)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(l)
|
(~(((((r>o)|b)|~(r))|~(p)))>d)
| 0 | 0 | 0 | 0 |
not entailment
|
((h&b)&(b>(s&(l&h))))
|
(((((((s&(h>s))&o)>g)|b)>(f|(o&b)))>h)|p)
| 1 | 0 | 0 | 0 |
entailment
|
(((b&g)&(f>g))&((o&g)|(s|d)))
|
(g|(r>(o&r)))
| 1 | 1 | 0 | 0 |
entailment
|
((h&b)&(b>(s&(l&h))))
|
(g|(r>(o&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((b&g)&(f>g))&((o&g)|(s|d)))
|
(((((((s&(h>s))&o)>g)|b)>(f|(o&b)))>h)|p)
| 0 | 0 | 0 | 0 |
not entailment
|
(((l>~((g|((r>(h|f))&(f|r)))))>~(g))&s)
|
((r&((p>f)>~(s)))>((g|p)|h))
| 1 | 1 | 0 | 0 |
entailment
|
((((r>f)|(o|~((l>b))))&l)&(o&f))
|
((l|(l&l))|l)
| 1 | 1 | 1 | 1 |
entailment
|
(((l>~((g|((r>(h|f))&(f|r)))))>~(g))&s)
|
((l|(l&l))|l)
| 0 | 1 | 1 | 1 |
not entailment
|
((((r>f)|(o|~((l>b))))&l)&(o&f))
|
((r&((p>f)>~(s)))>((g|p)|h))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(f&p))
|
((((l|d)|(g>(h>h)))>d)>f)
| 1 | 0 | 0 | 0 |
entailment
|
((s>((~(p)|(o>s))>o))&g)
|
(((p&l)&f)>g)
| 1 | 1 | 0 | 0 |
entailment
|
(d&(f&p))
|
(((p&l)&f)>g)
| 0 | 0 | 0 | 0 |
not entailment
|
((s>((~(p)|(o>s))>o))&g)
|
((((l|d)|(g>(h>h)))>d)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((h|o)&((d>d)>(((l&r)&l)&g)))
|
(~((l&~((p|(g|s)))))|p)
| 1 | 1 | 0 | 0 |
entailment
|
(~(h)&~((l>((o|r)|h))))
|
~((g&(r&s)))
| 1 | 1 | 0 | 0 |
entailment
|
((h|o)&((d>d)>(((l&r)&l)&g)))
|
~((g&(r&s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(h)&~((l>((o|r)|h))))
|
(~((l&~((p|(g|s)))))|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(((r&f)&(l|r))&~((s&d)))
|
((h>~(r))|(~((f&(d|f)))>~(~((g|d)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((o>b))
|
((s>~(((b&s)&l)))|~((((s&p)>r)|g)))
| 1 | 0 | 0 | 0 |
entailment
|
(((r&f)&(l|r))&~((s&d)))
|
((s>~(((b&s)&l)))|~((((s&p)>r)|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((o>b))
|
((h>~(r))|(~((f&(d|f)))>~(~((g|d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((m|((s&((s&k)&s))>g)))&s)
|
~(((g&s)&((m>k)|s)))
| 1 | 1 | 1 | 0 |
entailment
|
~((g>(((m>v)|(k>~((~(k)>g))))>(k&k))))
|
((~((~((k&~((s|k))))>s))&s)|~(k))
| 1 | 1 | 0 | 0 |
entailment
|
(~((m|((s&((s&k)&s))>g)))&s)
|
((~((~((k&~((s|k))))>s))&s)|~(k))
| 0 | 0 | 1 | 0 |
not entailment
|
~((g>(((m>v)|(k>~((~(k)>g))))>(k&k))))
|
~(((g&s)&((m>k)|s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(s&((((s>k)&(k>(k|(g>m))))&k)&((s|k)>m)))
|
(((v|s)&(k>k))|(v&s))
| 1 | 1 | 0 | 0 |
entailment
|
~((v|k))
|
(~(k)|(~((~(k)&m))>(k>g)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&((((s>k)&(k>(k|(g>m))))&k)&((s|k)>m)))
|
(~(k)|(~((~(k)&m))>(k>g)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((v|k))
|
(((v|s)&(k>k))|(v&s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s|(~((s>k))>m))&~((m&(k&(g&s))))))
|
(((m>m)>~(v))>s)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~(~(~(m))))|(g|g)))
|
(~(~(~(~(g))))>~(s))
| 1 | 1 | 0 | 0 |
entailment
|
~(((s|(~((s>k))>m))&~((m&(k&(g&s))))))
|
(~(~(~(~(g))))>~(s))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~(~(~(m))))|(g|g)))
|
(((m>m)>~(v))>s)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((s|g))|((v&m)|k)))
|
((g|(~(~(m))|((k&(s>k))>g)))|v)
| 1 | 0 | 1 | 0 |
entailment
|
(((g|(g|(g&s)))>(~(m)&s))&(~(m)&(m>v)))
|
(g>((v|(s&~(~(~(v)))))|~(~(s))))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((s|g))|((v&m)|k)))
|
(g>((v|(s&~(~(~(v)))))|~(~(s))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((g|(g|(g&s)))>(~(m)&s))&(~(m)&(m>v)))
|
((g|(~(~(m))|((k&(s>k))>g)))|v)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&(v&(((v|m)|((k|v)&v))&m)))
|
((s|((k&(k|v))|(m&~(m))))&s)
| 1 | 1 | 1 | 0 |
entailment
|
~((m|(s|k)))
|
~(((g|v)&(s&v)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&(v&(((v|m)|((k|v)&v))&m)))
|
~(((g|v)&(s&v)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m|(s|k)))
|
((s|((k&(k|v))|(m&~(m))))&s)
| 0 | 0 | 0 | 0 |
not entailment
|
~((v&(s>((g&s)|v))))
|
((s>v)>((((g&g)&(g>v))&s)>~((s|v))))
| 1 | 0 | 1 | 0 |
entailment
|
((((v|(s>m))&(s|m))&g)&k)
|
((k&(g|g))|m)
| 1 | 1 | 1 | 1 |
entailment
|
~((v&(s>((g&s)|v))))
|
((k&(g|g))|m)
| 0 | 1 | 0 | 0 |
not entailment
|
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