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