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 |
|---|---|---|---|---|---|---|
~(((a>a)&(~(t)|(q|d))))
|
(((t&d)&a)>~((q|l)))
| 1 | 1 | 0 | 0 |
entailment
|
(((~(q)&b)&(l&b))&(r|q))
|
(((t&d)&a)>~((q|l)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>a)&(~(t)|(q|d))))
|
((d|l)|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(q&((l&(a|d))&a))
|
((l>((a>r)>a))|(l>(l>~(r))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((t|t)|(t&a)))
|
((t&b)>((d&u)&l))
| 1 | 1 | 0 | 0 |
entailment
|
(q&((l&(a|d))&a))
|
((t&b)>((d&u)&l))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t|t)|(t&a)))
|
((l>((a>r)>a))|(l>(l>~(r))))
| 0 | 0 | 0 | 0 |
not entailment
|
((t|b)&(((~(d)&a)|b)&((q|t)&(d&d))))
|
((~((a>q))>((a&l)&((d>b)>u)))|t)
| 1 | 1 | 0 | 0 |
entailment
|
(b&(u&~((((r|l)&((t>l)&r))>l))))
|
~(~(r))
| 1 | 1 | 1 | 1 |
entailment
|
((t|b)&(((~(d)&a)|b)&((q|t)&(d&d))))
|
~(~(r))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(u&~((((r|l)&((t>l)&r))>l))))
|
((~((a>q))>((a&l)&((d>b)>u)))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
((q&r)&(b|~((b>((q|l)>t)))))
|
(((r|d)|b)|(l>((a|~((b|a)))>a)))
| 1 | 0 | 0 | 0 |
entailment
|
(((l&a)|((a&t)>((r>b)&(l>l))))&l)
|
(l|~((((b>(d>l))|d)|~((((q>a)|a)|r)))))
| 1 | 0 | 0 | 0 |
entailment
|
((q&r)&(b|~((b>((q|l)>t)))))
|
(l|~((((b>(d>l))|d)|~((((q>a)|a)|r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((l&a)|((a&t)>((r>b)&(l>l))))&l)
|
(((r|d)|b)|(l>((a|~((b|a)))>a)))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(t&(t|(l|d))))
|
(t|q)
| 1 | 1 | 0 | 0 |
entailment
|
~((q|(r&((u&d)>t))))
|
(r>(((u>~(r))|(q|t))>(u&a)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(t&(t|(l|d))))
|
(r>(((u>~(r))|(q|t))>(u&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((q|(r&((u&d)>t))))
|
(t|q)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((m&q)|~(q))&v)|(m>~(h))))
|
(((f>k)&f)>~(v))
| 1 | 1 | 0 | 0 |
entailment
|
((~(q)&(h>v))&k)
|
(m>k)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((m&q)|~(q))&v)|(m>~(h))))
|
(m>k)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(q)&(h>v))&k)
|
(((f>k)&f)>~(v))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(q)|(q&k))>((v>q)&m))
|
(k>(m|v))
| 1 | 1 | 1 | 0 |
entailment
|
(~((h|~((f|~((v|f))))))&k)
|
(h>((~(f)|h)&~(q)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(q)|(q&k))>((v>q)&m))
|
(h>((~(f)|h)&~(q)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((h|~((f|~((v|f))))))&k)
|
(k>(m|v))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(h)&(q>m))
|
(~(h)|((~((m>q))&(k|~(f)))&h))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(k))
|
((m>((q>k)&(~(h)&(~(m)|m))))|((f|v)>h))
| 1 | 0 | 0 | 0 |
entailment
|
(~(h)&(q>m))
|
((m>((q>k)&(~(h)&(~(m)|m))))|((f|v)>h))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(k))
|
(~(h)|((~((m>q))&(k|~(f)))&h))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k|((v&k)>((h|(v&v))|(f>v))))&f)&~(h))
|
(k|(q|(v>f)))
| 1 | 1 | 0 | 0 |
entailment
|
(((v&v)>(m|(~((k>(q>m)))>v)))>v)
|
((((~((f|k))&m)>h)&v)|m)
| 1 | 1 | 0 | 0 |
entailment
|
(((k|((v&k)>((h|(v&v))|(f>v))))&f)&~(h))
|
((((~((f|k))&m)>h)&v)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(((v&v)>(m|(~((k>(q>m)))>v)))>v)
|
(k|(q|(v>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((~(h)>(h&(q&(m&m))))))&(k|q))
|
((v>(f&(h&(f|h))))>(((~(k)>h)|k)&(k>k)))
| 1 | 0 | 0 | 0 |
entailment
|
(((((v|v)>q)|v)&q)&(v>f))
|
((((f|m)>v)>~(~((((f&m)>k)>v))))|q)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((~(h)>(h&(q&(m&m))))))&(k|q))
|
((((f|m)>v)>~(~((((f&m)>k)>v))))|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((v|v)>q)|v)&q)&(v>f))
|
((v>(f&(h&(f|h))))>(((~(k)>h)|k)&(k>k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>~(((h&(q&v))&v))))
|
((f>v)>q)
| 1 | 1 | 0 | 0 |
entailment
|
~(((m|f)|(v|h)))
|
((v>~(h))|(f&~(~(f))))
| 1 | 0 | 1 | 0 |
entailment
|
~((m>~(((h&(q&v))&v))))
|
((v>~(h))|(f&~(~(f))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m|f)|(v|h)))
|
((f>v)>q)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((((v&m)&k)&q)&(((q&(v&q))&f)|k))))
|
(~((h&h))>((m>q)|h))
| 1 | 1 | 0 | 0 |
entailment
|
((q>q)>(~(k)&f))
|
(~(f)|~((k&k)))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((((v&m)&k)&q)&(((q&(v&q))&f)|k))))
|
(~(f)|~((k&k)))
| 0 | 1 | 1 | 0 |
not entailment
|
((q>q)>(~(k)&f))
|
(~((h&h))>((m>q)|h))
| 0 | 0 | 0 | 0 |
not entailment
|
(m|(f&k))
|
(((q>h)>q)>(m|f))
| 1 | 0 | 0 | 0 |
entailment
|
(v&(((v&v)&((f>(m|q))&(h|m)))|v))
|
((k&v)|(((q|q)|v)|(f|h)))
| 1 | 1 | 0 | 0 |
entailment
|
(m|(f&k))
|
((k&v)|(((q|q)|v)|(f|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&(((v&v)&((f>(m|q))&(h|m)))|v))
|
(((q>h)>q)>(m|f))
| 0 | 1 | 1 | 0 |
not entailment
|
((~((m>q))&(v&(v>m)))&(v&(h|((v|h)&v))))
|
(((h|f)&m)|~(f))
| 1 | 1 | 0 | 0 |
entailment
|
(k|(~(~(((q|v)>h)))&((v&m)>h)))
|
(((k|h)|h)|~((v&v)))
| 1 | 1 | 1 | 1 |
entailment
|
((~((m>q))&(v&(v>m)))&(v&(h|((v|h)&v))))
|
(((k|h)|h)|~((v&v)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k|(~(~(((q|v)>h)))&((v&m)>h)))
|
(((h|f)&m)|~(f))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((f&k)>f)>h)&m)&(k>m))
|
(((f|m)>((q|(m|k))|((v>~(v))&m)))|(q|q))
| 1 | 0 | 0 | 0 |
entailment
|
((k>~(((f>v)&(f|m))))&(f&v))
|
((k&((m|q)>(f|f)))|(~((q&m))>(k>v)))
| 1 | 0 | 0 | 0 |
entailment
|
(((((f&k)>f)>h)&m)&(k>m))
|
((k&((m|q)>(f|f)))|(~((q&m))>(k>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k>~(((f>v)&(f|m))))&(f&v))
|
(((f|m)>((q|(m|k))|((v>~(v))&m)))|(q|q))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m&f)|f)&q)
|
(~(~(((q>k)|(h>v))))|(q&(f&q)))
| 1 | 0 | 0 | 0 |
entailment
|
~(v)
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
(((m&f)|f)&q)
|
~(v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(v)
|
(~(~(((q>k)|(h>v))))|(q&(f&q)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&((k>m)>f))
|
(q|(((h>k)>(~((f&(k|m)))&(k&q)))>v))
| 1 | 0 | 0 | 0 |
entailment
|
(~((q|(f|m)))&(k>f))
|
((f|k)>((~((k|((v|k)&v)))|h)&~((f>q))))
| 1 | 0 | 0 | 0 |
entailment
|
(q&((k>m)>f))
|
((f|k)>((~((k|((v|k)&v)))|h)&~((f>q))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((q|(f|m)))&(k>f))
|
(q|(((h>k)>(~((f&(k|m)))&(k&q)))>v))
| 0 | 0 | 0 | 0 |
not entailment
|
((h>(f|v))&k)
|
((v>q)>(h|k))
| 1 | 1 | 0 | 0 |
entailment
|
(f|(h&q))
|
~(~(((f|q)|~(m))))
| 1 | 0 | 0 | 0 |
entailment
|
((h>(f|v))&k)
|
~(~(((f|q)|~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f|(h&q))
|
((v>q)>(h|k))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&(q>(~((q|t))|(o|q))))
|
((q&q)|t)
| 1 | 1 | 1 | 0 |
entailment
|
~(((o>~(q))>(~(t)&~(o))))
|
(~((o|(~(~(t))|t)))>((t|t)&q))
| 1 | 0 | 1 | 0 |
entailment
|
(q&(q>(~((q|t))|(o|q))))
|
(~((o|(~(~(t))|t)))>((t|t)&q))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((o>~(q))>(~(t)&~(o))))
|
((q&q)|t)
| 0 | 1 | 1 | 0 |
not entailment
|
(((o&o)|q)&t)
|
(q|t)
| 1 | 1 | 1 | 1 |
entailment
|
~(((o&q)|((t|q)|t)))
|
((~(o)|(~((t&(o>o)))|(q&q)))|q)
| 1 | 0 | 1 | 0 |
entailment
|
(((o&o)|q)&t)
|
((~(o)|(~((t&(o>o)))|(q&q)))|q)
| 0 | 0 | 1 | 0 |
not entailment
|
~(((o&q)|((t|q)|t)))
|
(q|t)
| 0 | 1 | 1 | 0 |
not entailment
|
((t|q)&(o&(t&(q>o))))
|
(((o&o)|q)|~((t>q)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((t|q)&(o|t)))
|
(((o&q)>((t|o)>~(q)))&(q|(((t|q)|o)>o)))
| 1 | 0 | 1 | 0 |
entailment
|
((t|q)&(o&(t&(q>o))))
|
(((o&q)>((t|o)>~(q)))&(q|(((t|q)|o)>o)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((t|q)&(o|t)))
|
(((o&o)|q)|~((t>q)))
| 0 | 0 | 1 | 0 |
not entailment
|
(o&(~(~(~(q)))|~((t>q))))
|
((t&(t&t))>~(((o&q)&(((q|o)&q)>q))))
| 1 | 0 | 1 | 0 |
entailment
|
(((o>t)&o)&t)
|
(((t>q)>t)&((q>o)>~(~((o>(t>t))))))
| 1 | 0 | 0 | 0 |
entailment
|
(o&(~(~(~(q)))|~((t>q))))
|
(((t>q)>t)&((q>o)>~(~((o>(t>t))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((o>t)&o)&t)
|
((t&(t&t))>~(((o&q)&(((q|o)&q)>q))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((o&(t|(~(q)&(q&o)))))&(t&~((o&t))))
|
(o|t)
| 1 | 1 | 1 | 0 |
entailment
|
~(((t|t)|~((q|t))))
|
(q|~(~(~(~(~((o|(((q|o)>t)|t))))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((o&(t|(~(q)&(q&o)))))&(t&~((o&t))))
|
(q|~(~(~(~(~((o|(((q|o)>t)|t))))))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((t|t)|~((q|t))))
|
(o|t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((q&o)))
|
(((q>((q>q)&o))&o)&(((t>q)|o)|((t|q)&o)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((q&(t|t))&q)))
|
((o>o)>(~(o)|((o|o)>(t&o))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((q&o)))
|
((o>o)>(~(o)|((o|o)>(t&o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((q&(t|t))&q)))
|
(((q>((q>q)&o))&o)&(((t>q)|o)|((t|q)&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((t&((o|(o|t))>o))>~(~(q))))
|
(~(((q|q)&o))>(o|o))
| 1 | 1 | 1 | 0 |
entailment
|
((q&o)|(t&((q&(q>q))&q)))
|
((((o&t)>t)|(q>q))>q)
| 1 | 1 | 1 | 0 |
entailment
|
~(((t&((o|(o|t))>o))>~(~(q))))
|
((((o&t)>t)|(q>q))>q)
| 0 | 1 | 1 | 0 |
not entailment
|
((q&o)|(t&((q&(q>q))&q)))
|
(~(((q|q)&o))>(o|o))
| 0 | 1 | 1 | 1 |
not entailment
|
~((o|((((q|o)|o)|t)&t)))
|
((t>q)&(t>o))
| 1 | 1 | 1 | 0 |
entailment
|
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