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
(h&((r>~(((h|h)>r)))>r))
(q>r)
1
1
0
0
entailment
~((r|m))
~(m)
1
1
1
1
entailment
(h&((r>~(((h|h)>r)))>r))
~(m)
0
1
0
0
not entailment
~((r|m))
(q>r)
0
1
0
0
not entailment
(t>~((t>((v|l)&((v>t)|l)))))
(((t&v)>r)|m)
1
1
0
0
entailment
((q&(l&v))&t)
~(~((~((r&(h|v)))|(l|d))))
1
0
0
0
entailment
(t>~((t>((v|l)&((v>t)|l)))))
~(~((~((r&(h|v)))|(l|d))))
0
1
0
0
not entailment
((q&(l&v))&t)
(((t&v)>r)|m)
0
1
0
0
not entailment
~(((~((t|h))&(l>q))>(l>(t|r))))
~((h|r))
1
1
1
1
entailment
((v|t)&(l&(d&~(v))))
((t|(q&d))|~(((q|m)|d)))
1
0
0
0
entailment
~(((~((t|h))&(l>q))>(l>(t|r))))
((t|(q&d))|~(((q|m)|d)))
0
1
0
0
not entailment
((v|t)&(l&(d&~(v))))
~((h|r))
0
1
0
0
not entailment
((d&t)&d)
((m&h)>t)
1
1
0
0
entailment
(l&(h&r))
(~(~((d>h)))|(q&m))
1
0
0
0
entailment
((d&t)&d)
(~(~((d>h)))|(q&m))
0
0
0
0
not entailment
(l&(h&r))
((m&h)>t)
0
1
0
0
not entailment
~((t>(~(~((t>o)))>(~(k)&(k|h)))))
(~((t&k))>(((t|h)|o)|(k|t)))
1
1
1
0
entailment
~((((~(h)|(o>t))>t)|h))
(~(~(t))>(k&(k&k)))
1
1
0
0
entailment
~((t>(~(~((t>o)))>(~(k)&(k|h)))))
(~(~(t))>(k&(k&k)))
0
1
1
1
not entailment
~((((~(h)|(o>t))>t)|h))
(~((t&k))>(((t|h)|o)|(k|t)))
0
0
0
0
not entailment
(t&h)
((t>(k>h))>t)
1
0
0
0
entailment
~(((~(h)>k)|((o>h)&((h|k)|o))))
(h>(h&((k&(k&o))|(t&(~((h&k))>(o&t))))))
1
0
0
0
entailment
(t&h)
(h>(h&((k&(k&o))|(t&(~((h&k))>(o&t))))))
0
0
0
0
not entailment
~(((~(h)>k)|((o>h)&((h|k)|o))))
((t>(k>h))>t)
0
1
0
0
not entailment
(~(((k&t)>(t&(o&o))))&k)
(t|~((((h&t)&~((k|(h|t))))|(k|o))))
1
0
0
0
entailment
(h&o)
(((t>h)&(h>t))>((t>h)&o))
1
0
0
0
entailment
(~(((k&t)>(t&(o&o))))&k)
(((t>h)&(h>t))>((t>h)&o))
0
1
0
0
not entailment
(h&o)
(t|~((((h&t)&~((k|(h|t))))|(k|o))))
0
0
0
0
not entailment
((t>h)&~(k))
((~(t)&~(t))>~((k&o)))
1
0
0
0
entailment
(~(((t|h)|~(((((k|h)>k)|h)|t))))>(t&k))
(~((k|((t|o)>t)))>(h|t))
1
1
0
0
entailment
((t>h)&~(k))
(~((k|((t|o)>t)))>(h|t))
0
0
0
0
not entailment
(~(((t|h)|~(((((k|h)>k)|h)|t))))>(t&k))
((~(t)&~(t))>~((k&o)))
0
1
0
0
not entailment
(~(t)>~((((k&k)&k)|(o>(h&o)))))
((((h>t)>k)>o)>(k>t))
1
1
1
0
entailment
~(((o&t)|((t&o)|~(o))))
((o|o)>((t&k)>h))
1
1
0
0
entailment
(~(t)>~((((k&k)&k)|(o>(h&o)))))
((o|o)>((t&k)>h))
0
1
1
0
not entailment
~(((o&t)|((t&o)|~(o))))
((((h>t)>k)>o)>(k>t))
0
1
0
0
not entailment
(o&t)
(t|~(k))
1
0
0
0
entailment
(((h|~(h))&t)>~(t))
(((t&o)&h)>~((t>o)))
1
1
0
0
entailment
(o&t)
(((t&o)&h)>~((t>o)))
0
0
0
0
not entailment
(((h|~(h))&t)>~(t))
(t|~(k))
0
1
0
0
not entailment
(((t>((k|h)&k))>(k>o))&(~(k)|t))
(((((k>t)&(k|k))|((o&h)&k))>o)|(o&h))
1
0
1
0
entailment
~((((t&k)>h)>~((k&t))))
(h|(k|k))
1
1
1
1
entailment
(((t>((k|h)&k))>(k>o))&(~(k)|t))
(h|(k|k))
0
1
1
0
not entailment
~((((t&k)>h)>~((k&t))))
(((((k>t)&(k|k))|((o&h)&k))>o)|(o&h))
0
0
0
0
not entailment
~((((t|h)>t)>(k|~(h))))
((o|((k>o)&k))>h)
1
1
0
0
entailment
(((t|o)|(t>h))&(o&~((t|t))))
((~(~(~(~(t))))>(k|t))>~(~(o)))
1
0
0
0
entailment
~((((t|h)>t)>(k|~(h))))
((~(~(~(~(t))))>(k|t))>~(~(o)))
0
0
0
0
not entailment
(((t|o)|(t>h))&(o&~((t|t))))
((o|((k>o)&k))>h)
0
1
0
0
not entailment
(((~(k)&(h&o))>k)&k)
(h>k)
1
1
1
1
entailment
((k|~(t))&~(k))
~(~(~(((o>((k|o)>(o&o)))>(k&h)))))
1
0
0
0
entailment
(((~(k)&(h&o))>k)&k)
~(~(~(((o>((k|o)>(o&o)))>(k&h)))))
0
0
1
0
not entailment
((k|~(t))&~(k))
(h>k)
0
1
0
0
not entailment
~(~(~(((~(~(o))&k)|~((t&(o|o)))))))
((t>o)|((k|(t&h))&(h>((k|o)>t))))
1
1
0
0
entailment
((~((((o|t)&k)|k))>t)&(~(h)&(o|(k>t))))
~(((((o>h)>o)>(o>(o&(h>(h|t)))))>(h&t)))
1
1
1
0
entailment
~(~(~(((~(~(o))&k)|~((t&(o|o)))))))
~(((((o>h)>o)>(o>(o&(h>(h|t)))))>(h&t)))
0
1
0
0
not entailment
((~((((o|t)&k)|k))>t)&(~(h)&(o|(k>t))))
((t>o)|((k|(t&h))&(h>((k|o)>t))))
0
1
1
0
not entailment
(k&o)
~(~(k))
1
0
1
1
entailment
((o|o)>(h&t))
(o>t)
1
1
1
1
entailment
(k&o)
(o>t)
0
1
0
0
not entailment
((o|o)>(h&t))
~(~(k))
0
1
0
0
not entailment
(t&((t|~(t))|k))
(t|o)
1
1
0
0
entailment
~((~(t)>(k>h)))
(~((k&h))&(((h|h)>(k>o))>(t>o)))
1
0
0
0
entailment
(t&((t|~(t))|k))
(~((k&h))&(((h|h)>(k>o))>(t>o)))
0
0
0
0
not entailment
~((~(t)>(k>h)))
(t|o)
0
1
0
0
not entailment
(((h&t)>o)&((t&k)&k))
(o|((t&(h>~(k)))>~((~(k)|((o|k)>o)))))
1
0
1
0
entailment
~((~(k)>o))
(k>h)
1
1
0
0
entailment
(((h&t)>o)&((t&k)&k))
(k>h)
0
1
1
0
not entailment
~((~(k)>o))
(o|((t&(h>~(k)))>~((~(k)|((o|k)>o)))))
0
0
0
0
not entailment
(((o>o)|t)&~((~((o|k))|k)))
~((~(~(k))|((h|o)&~(o))))
1
1
0
0
entailment
((k&(~((k&h))&h))|h)
((h|h)|(k|t))
1
1
0
0
entailment
(((o>o)|t)&~((~((o|k))|k)))
((h|h)|(k|t))
0
1
0
0
not entailment
((k&(~((k&h))&h))|h)
~((~(~(k))|((h|o)&~(o))))
0
0
0
0
not entailment
(x&(~(x)>(v&x)))
(~(~(~(x)))>(w&((i>(i>i))&p)))
1
0
0
0
entailment
(((~(((d&w)&x))|(m>~(x)))&d)&m)
((p>l)>d)
1
1
0
0
entailment
(x&(~(x)>(v&x)))
((p>l)>d)
0
1
0
0
not entailment
(((~(((d&w)&x))|(m>~(x)))&d)&m)
(~(~(~(x)))>(w&((i>(i>i))&p)))
0
1
0
0
not entailment
~((~(v)|~((d&x))))
(~(~((((m>m)>(v>~(x)))|v)))&(p>d))
1
0
0
0
entailment
(m&l)
(i|((l|m)|(((w&i)&~(w))|(w>l))))
1
0
0
0
entailment
~((~(v)|~((d&x))))
(i|((l|m)|(((w&i)&~(w))|(w>l))))
0
0
0
0
not entailment
(m&l)
(~(~((((m>m)>(v>~(x)))|v)))&(p>d))
0
0
0
0
not entailment
(m&p)
(w|(p|l))
1
0
0
0
entailment
(d&(((v>(l&v))|(d>(d>v)))&(x>m)))
(d&d)
1
1
1
1
entailment
(m&p)
(d&d)
0
1
0
0
not entailment
(d&(((v>(l&v))|(d>(d>v)))&(x>m)))
(w|(p|l))
0
1
0
0
not entailment
~(((p|m)>i))
(~(i)|((~(d)&i)>((w>(x|p))>m)))
1
0
0
0
entailment
~((x>v))
(~(l)|((~(p)&v)>(i&l)))
1
0
0
0
entailment
~(((p|m)>i))
(~(l)|((~(p)&v)>(i&l)))
0
0
0
0
not entailment
~((x>v))
(~(i)|((~(d)&i)>((w>(x|p))>m)))
0
0
0
0
not entailment
(~(((x|(m&l))>x))|((m>p)>m))
((d|d)|(((~(x)&l)|~(v))>~(~((w>m)))))
1
0
0
0
entailment
~((~(d)&l))
((v|~((l>d)))>(x>v))
1
0
0
0
entailment
(~(((x|(m&l))>x))|((m>p)>m))
((v|~((l>d)))>(x>v))
0
1
0
0
not entailment
~((~(d)&l))
((d|d)|(((~(x)&l)|~(v))>~(~((w>m)))))
0
0
0
0
not entailment
((w|((i>l)>m))&((((l|i)|w)>p)&i))
(((w>(d>p))&((i|v)>~(w)))>p)
1
1
0
0
entailment
(~(((~(l)|m)&v))&w)
((v&p)>~(~(((w|(p>x))>l))))
1
0
0
0
entailment
((w|((i>l)>m))&((((l|i)|w)>p)&i))
((v&p)>~(~(((w|(p>x))>l))))
0
1
0
0
not entailment
(~(((~(l)|m)&v))&w)
(((w>(d>p))&((i|v)>~(w)))>p)
0
0
0
0
not entailment
(((d&d)|~(~(d)))&~((~((w|v))&x)))
(l|d)
1
1
0
0
entailment
(((v&w)&(l>(l|p)))&(d>i))
((w>x)>(((v|(v>w))&~((p&p)))|(v&x)))
1
0
0
0
entailment
(((d&d)|~(~(d)))&~((~((w|v))&x)))
((w>x)>(((v|(v>w))&~((p&p)))|(v&x)))
0
1
0
0
not entailment
(((v&w)&(l>(l|p)))&(d>i))
(l|d)
0
1
1
0
not entailment