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 |
|---|---|---|---|---|---|---|
(p&~(((x>p)>v)))
|
(~((x&v))>(p>~(v)))
| 1 | 0 | 1 | 0 |
entailment
|
~((((v>d)|d)|(o>x)))
|
(~((x&v))>(p>~(v)))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&~(((x>p)>v)))
|
(v|~(((~(x)&~(t))&(~(v)|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(v)&t)
|
((~(~(t))|d)>(v>((v&d)&(o>o))))
| 1 | 0 | 0 | 0 |
entailment
|
((t|((x|d)&(v>o)))&(t>~((p|o))))
|
~(~(((x&p)>(t>d))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(v)&t)
|
~(~(((x&p)>(t>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t|((x|d)&(v>o)))&(t>~((p|o))))
|
((~(~(t))|d)>(v>((v&d)&(o>o))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((v|(~(~(v))&p)))
|
((~(~((p>d)))>(d>d))>((v&v)>x))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(((t&(d&~(o)))>((p|x)>t))&d))
|
((p>(d|x))|(~(o)|t))
| 1 | 1 | 1 | 0 |
entailment
|
~((v|(~(~(v))&p)))
|
((p>(d|x))|(~(o)|t))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(((t&(d&~(o)))>((p|x)>t))&d))
|
((~(~((p>d)))>(d>d))>((v&v)>x))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&(x|d))
|
(p|(~((x|d))>~(v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((o>v)|(t>(d&t)))>(v>x)))
|
~((~(v)&~(x)))
| 1 | 1 | 1 | 0 |
entailment
|
(d&(x|d))
|
~((~(v)&~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((o>v)|(t>(d&t)))>(v>x)))
|
(p|(~((x|d))>~(v)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((x&o)&o)|p)>(d|x))>o))
|
((t>(x&x))|(((v>o)>o)>(v|d)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(~(((o|t)|((x|o)>v)))))|~(d))
|
((t|(p&d))>(t|x))
| 1 | 1 | 0 | 0 |
entailment
|
~((((((x&o)&o)|p)>(d|x))>o))
|
((t|(p&d))>(t|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(~(((o|t)|((x|o)>v)))))|~(d))
|
((t>(x&x))|(((v>o)>o)>(v|d)))
| 0 | 1 | 1 | 0 |
not entailment
|
((p&x)&((((t&v)&p)&o)|~(~(((t>d)|d)))))
|
(x&((((d&v)|o)>(o>x))>(((o&d)>d)&(x|v))))
| 1 | 1 | 1 | 0 |
entailment
|
~((p>~((d&~(x)))))
|
(o|d)
| 1 | 1 | 0 | 0 |
entailment
|
((p&x)&((((t&v)&p)&o)|~(~(((t>d)|d)))))
|
(o|d)
| 0 | 1 | 1 | 1 |
not entailment
|
~((p>~((d&~(x)))))
|
(x&((((d&v)|o)>(o>x))>(((o&d)>d)&(x|v))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~((p>(o>p)))|((v>(t>x))>x)))))
|
((p|o)|((v&t)>d))
| 1 | 1 | 0 | 0 |
entailment
|
(v|v)
|
((p>v)|((d|x)|d))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~((p>(o>p)))|((v>(t>x))>x)))))
|
((p>v)|((d|x)|d))
| 0 | 1 | 0 | 0 |
not entailment
|
(v|v)
|
((p|o)|((v&t)>d))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((p&o)&t)|x)>(o|(x>d))))
|
((~((v&(v>o)))|~(t))|~(p))
| 1 | 1 | 0 | 0 |
entailment
|
((t&o)|(t&(x&d)))
|
(t&(o>o))
| 1 | 1 | 1 | 0 |
entailment
|
~(((((p&o)&t)|x)>(o|(x>d))))
|
(t&(o>o))
| 0 | 1 | 1 | 1 |
not entailment
|
((t&o)|(t&(x&d)))
|
((~((v&(v>o)))|~(t))|~(p))
| 0 | 0 | 0 | 0 |
not entailment
|
((((((p&o)|~(t))&t)>(o&t))|t)&(t&v))
|
(d>t)
| 1 | 1 | 0 | 0 |
entailment
|
~((d>p))
|
~(((o&((d>t)&(((t>v)>p)&(p|o))))&v))
| 1 | 0 | 0 | 0 |
entailment
|
((((((p&o)|~(t))&t)>(o&t))|t)&(t&v))
|
~(((o&((d>t)&(((t>v)>p)&(p|o))))&v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>p))
|
(d>t)
| 0 | 1 | 0 | 0 |
not entailment
|
(((p>d)|x)>t)
|
(t|p)
| 1 | 1 | 1 | 1 |
entailment
|
((p|(p>d))>o)
|
(x>(d|o))
| 1 | 1 | 0 | 0 |
entailment
|
(((p>d)|x)>t)
|
(x>(d|o))
| 0 | 1 | 0 | 0 |
not entailment
|
((p|(p>d))>o)
|
(t|p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((l>(((x>k)>i)>(q&g))))
|
~(~((~(((g&~(i))&k))|i)))
| 1 | 0 | 1 | 1 |
entailment
|
(~(((((q&q)>l)&~(g))|(l&g)))|~((x|q)))
|
~(((x>l)&x))
| 1 | 1 | 1 | 0 |
entailment
|
~((l>(((x>k)>i)>(q&g))))
|
~(((x>l)&x))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((((q&q)>l)&~(g))|(l&g)))|~((x|q)))
|
~(~((~(((g&~(i))&k))|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((l|(q>(f>s))))
|
(f|~((((f&x)|(g>s))>q)))
| 1 | 0 | 0 | 0 |
entailment
|
(((f>l)|~(f))&(g&(k>q)))
|
(~(~(((x>k)>((g|s)|w))))|((f|(g&i))&s))
| 1 | 0 | 0 | 0 |
entailment
|
~((l|(q>(f>s))))
|
(~(~(((x>k)>((g|s)|w))))|((f|(g&i))&s))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f>l)|~(f))&(g&(k>q)))
|
(f|~((((f&x)|(g>s))>q)))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|(s&w))&q)
|
((g|((~((~(s)>l))>(q&w))>q))|~(~(i)))
| 1 | 0 | 0 | 0 |
entailment
|
((q>f)&~((w>f)))
|
(~((w|(l&l)))>(w|(f|(g>x))))
| 1 | 0 | 0 | 0 |
entailment
|
((s|(s&w))&q)
|
(~((w|(l&l)))>(w|(f|(g>x))))
| 0 | 0 | 0 | 0 |
not entailment
|
((q>f)&~((w>f)))
|
((g|((~((~(s)>l))>(q&w))>q))|~(~(i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((f&~(((((x>f)>f)>f)>i)))>(l&g)))
|
(i>(~(l)&q))
| 1 | 1 | 0 | 0 |
entailment
|
(w&(~(s)&(~(~(w))>(f>l))))
|
(s>w)
| 1 | 1 | 1 | 1 |
entailment
|
~(((f&~(((((x>f)>f)>f)>i)))>(l&g)))
|
(s>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(w&(~(s)&(~(~(w))>(f>l))))
|
(i>(~(l)&q))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((x|l)|w)|x)>((w|q)>((i|w)|l))))
|
(x|(i&((i&~((s&k)))|w)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((i>g)>~(f)))&(l&g))
|
(g|w)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((x|l)|w)|x)>((w|q)>((i|w)|l))))
|
(g|w)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((i>g)>~(f)))&(l&g))
|
(x|(i&((i&~((s&k)))|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(x)|((q&(k|f))>(f&((f|(i>i))>w)))))
|
(((q|x)>(~((s&q))&((k&q)|~(x))))>(f|k))
| 1 | 1 | 0 | 0 |
entailment
|
(l&~((q|~((f|w)))))
|
((l&((w&q)&(g&(s>g))))>(~((s|(i|s)))>f))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(x)|((q&(k|f))>(f&((f|(i>i))>w)))))
|
((l&((w&q)&(g&(s>g))))>(~((s|(i|s)))>f))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&~((q|~((f|w)))))
|
(((q|x)>(~((s&q))&((k&q)|~(x))))>(f|k))
| 0 | 0 | 0 | 0 |
not entailment
|
((i&s)&(~(i)|q))
|
(~((~(i)>((q&q)|f)))|(i|~(s)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(g)>(k>~(~(f)))))&~(((l&q)>w)))
|
(l&(w>w))
| 1 | 1 | 1 | 0 |
entailment
|
((i&s)&(~(i)|q))
|
(l&(w>w))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(g)>(k>~(~(f)))))&~(((l&q)>w)))
|
(~((~(i)>((q&q)|f)))|(i|~(s)))
| 0 | 1 | 0 | 0 |
not entailment
|
(i&~((~((g|l))|~(~(s)))))
|
(~(k)>(l|(q|g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((i>x))|k))
|
((k>(k>w))|~((i|w)))
| 1 | 0 | 0 | 0 |
entailment
|
(i&~((~((g|l))|~(~(s)))))
|
((k>(k>w))|~((i|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((i>x))|k))
|
(~(k)>(l|(q|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((g|f)&(q|l))&((~(g)>k)>f))
|
(~(~((x|(w|q))))|(f>l))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((f&((f|x)&~(q)))))
|
(~((q>l))>(~(~(k))&~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
(((g|f)&(q|l))&((~(g)>k)>f))
|
(~((q>l))>(~(~(k))&~(g)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((f&((f|x)&~(q)))))
|
(~(~((x|(w|q))))|(f>l))
| 0 | 1 | 0 | 0 |
not entailment
|
((s|(i|(s&g)))&(l&~((l>s))))
|
(x|(s>w))
| 1 | 1 | 0 | 0 |
entailment
|
~((i|(g>x)))
|
((k>(~(i)|f))|(w&(g>(f>(s&g)))))
| 1 | 0 | 0 | 0 |
entailment
|
((s|(i|(s&g)))&(l&~((l>s))))
|
((k>(~(i)|f))|(w&(g>(f>(s&g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((i|(g>x)))
|
(x|(s>w))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&i)
|
~(~((f&(f|q))))
| 1 | 0 | 0 | 0 |
entailment
|
~((q>((f|~((s|i)))&q)))
|
(~(~((l|q)))|(l&(i>i)))
| 1 | 1 | 0 | 0 |
entailment
|
(f&i)
|
(~(~((l|q)))|(l&(i>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q>((f|~((s|i)))&q)))
|
~(~((f&(f|q))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((l&(x&f))&(q|x))&(w|(g|~(i))))
|
((w|i)|l)
| 1 | 1 | 1 | 0 |
entailment
|
(((((f&k)>s)&f)>(f|f))&~((s|i)))
|
~((i&(w|((w|f)&(q&(q|q))))))
| 1 | 1 | 0 | 0 |
entailment
|
(((l&(x&f))&(q|x))&(w|(g|~(i))))
|
~((i&(w|((w|f)&(q&(q|q))))))
| 0 | 1 | 1 | 0 |
not entailment
|
(((((f&k)>s)&f)>(f|f))&~((s|i)))
|
((w|i)|l)
| 0 | 1 | 0 | 0 |
not entailment
|
(q&x)
|
((((g>l)&s)&g)>(x&(g|(x&~((s>x))))))
| 1 | 0 | 0 | 0 |
entailment
|
(q&g)
|
(g|~((~((((k&f)&s)|l))>((x&k)&(s>g)))))
| 1 | 0 | 0 | 0 |
entailment
|
(q&x)
|
(g|~((~((((k&f)&s)|l))>((x&k)&(s>g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&g)
|
((((g>l)&s)&g)>(x&(g|(x&~((s>x))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~((w|(k&g)))|(q>k))>g)>~(q)))
|
(q|(((f&(s|w))&i)&((w|g)&i)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((i>i)|(w|s))))&(i|i))
|
((l&i)|((s|i)|(~((w|l))&(x|(g&x)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~((w|(k&g)))|(q>k))>g)>~(q)))
|
((l&i)|((s|i)|(~((w|l))&(x|(g&x)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(((i>i)|(w|s))))&(i|i))
|
(q|(((f&(s|w))&i)&((w|g)&i)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(w)&((~(~(q))&k)&i))
|
(((k|(l&f))&f)>((g|(i>q))|x))
| 1 | 0 | 0 | 0 |
entailment
|
~((i>(i>g)))
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
(~(w)&((~(~(q))&k)&i))
|
~(g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((i>(i>g)))
|
(((k|(l&f))&f)>((g|(i>q))|x))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((f>w)&f)>w)>(f|(w>((x>k)&(i>w))))))
|
(q|~(k))
| 1 | 1 | 0 | 0 |
entailment
|
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