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 |
|---|---|---|---|---|---|---|
(u&(((((m|u)&v)|(v>v))|(y|m))&((m&g)&m)))
|
((((m|h)|((i|h)|v))>g)|~(((i|(z>z))&i)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((h&v)|z)|(v>(u|m)))|h))
|
((((m|h)|((i|h)|v))>g)|~(((i|(z>z))&i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&(((((m|u)&v)|(v>v))|(y|m))&((m&g)&m)))
|
((b>y)|(v|(i>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((q>r)&~(r))&p)
|
((((s>q)>(~(p)>q))|r)|p)
| 1 | 0 | 0 | 0 |
entailment
|
~(((k>s)>(q|k)))
|
((k&~(r))>q)
| 1 | 1 | 0 | 0 |
entailment
|
(((q>r)&~(r))&p)
|
((k&~(r))>q)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k>s)>(q|k)))
|
((((s>q)>(~(p)>q))|r)|p)
| 0 | 0 | 0 | 0 |
not entailment
|
((q&~(k))&~((c>(s|((y&r)&p)))))
|
(c|(r|r))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(r)>(q|r)))
|
((~((r&q))|(~(q)&c))|s)
| 1 | 0 | 0 | 0 |
entailment
|
((q&~(k))&~((c>(s|((y&r)&p)))))
|
((~((r&q))|(~(q)&c))|s)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(r)>(q|r)))
|
(c|(r|r))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(y)>p))&~(~(q)))
|
~((y&~(c)))
| 1 | 1 | 0 | 0 |
entailment
|
(r&~((~(~(p))|q)))
|
~(q)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(y)>p))&~(~(q)))
|
~(q)
| 0 | 1 | 1 | 0 |
not entailment
|
(r&~((~(~(p))|q)))
|
~((y&~(c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(s|(c&~((s|c))))
|
((y>y)&s)
| 1 | 1 | 0 | 0 |
entailment
|
(~(r)&((p>k)|~(s)))
|
((y&~(r))|~(((r|y)&((k&q)|r))))
| 1 | 0 | 0 | 0 |
entailment
|
(s|(c&~((s|c))))
|
((y&~(r))|~(((r|y)&((k&q)|r))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(r)&((p>k)|~(s)))
|
((y>y)&s)
| 0 | 1 | 0 | 0 |
not entailment
|
~(y)
|
(y>((r&(q>((c&~(c))&y)))&(p&p)))
| 1 | 0 | 0 | 0 |
entailment
|
(((r>c)&(p&(s&(r&q))))&(~((p|y))>y))
|
(r|~(s))
| 1 | 1 | 1 | 0 |
entailment
|
~(y)
|
(r|~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r>c)&(p&(s&(r&q))))&(~((p|y))>y))
|
(y>((r&(q>((c&~(c))&y)))&(p&p)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((k|s)|q)>p)>~((s&(p>y)))))
|
(q>y)
| 1 | 1 | 1 | 1 |
entailment
|
(~((~(k)|s))&q)
|
(q|r)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((k|s)|q)>p)>~((s&(p>y)))))
|
(q|r)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(k)|s))&q)
|
(q>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((c|y)>~(c)))&(~(((p>r)>q))|r))
|
(((k&q)|(q|((s&y)&y)))>(p|c))
| 1 | 1 | 0 | 0 |
entailment
|
(~(c)&k)
|
(c>((((c|c)|(p>q))&p)&q))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((c|y)>~(c)))&(~(((p>r)>q))|r))
|
(c>((((c|c)|(p>q))&p)&q))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(c)&k)
|
(((k&q)|(q|((s&y)&y)))>(p|c))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&(s|p))&(~(q)|~(~(p))))
|
(~(((c|p)|s))>r)
| 1 | 1 | 0 | 0 |
entailment
|
~(((k&y)|s))
|
((s>q)|r)
| 1 | 1 | 0 | 0 |
entailment
|
((s&(s|p))&(~(q)|~(~(p))))
|
((s>q)|r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((k&y)|s))
|
(~(((c|p)|s))>r)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&(q>~((q|(p&(~(p)|q))))))
|
(((q>p)|(~(y)>((p>q)>c)))&(~(r)|(r>r)))
| 1 | 0 | 0 | 0 |
entailment
|
(q&q)
|
(~(q)>p)
| 1 | 0 | 0 | 0 |
entailment
|
(~(y)&(q>~((q|(p&(~(p)|q))))))
|
(~(q)>p)
| 0 | 1 | 1 | 0 |
not entailment
|
(q&q)
|
(((q>p)|(~(y)>((p>q)>c)))&(~(r)|(r>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&k)
|
(r>(q|k))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~(c)|~(y))>(s|c))>s))
|
(s>(~(~(~(p)))&s))
| 1 | 1 | 0 | 0 |
entailment
|
(c&k)
|
(s>(~(~(~(p)))&s))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(c)|~(y))>(s|c))>s))
|
(r>(q|k))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((y|(r&y))>k))&~(~(c)))
|
(((~(q)&c)|(r|y))|(c|c))
| 1 | 1 | 0 | 0 |
entailment
|
(p&(~(((c|k)>k))|~((r&(r&s)))))
|
((r&q)>p)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((y|(r&y))>k))&~(~(c)))
|
((r&q)>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(p&(~(((c|k)>k))|~((r&(r&s)))))
|
(((~(q)&c)|(r|y))|(c|c))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&s)
|
(p|y)
| 1 | 1 | 0 | 0 |
entailment
|
~((r|~(s)))
|
(((s&q)&k)>((r>p)&(k|y)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&s)
|
(((s&q)&k)>((r>p)&(k|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((r|~(s)))
|
(p|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((r|(s|y)))
|
~(~((r|(~((~(y)|~(~(s))))>~(c)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((s&(s&c))&(q>y))|q)&c)
|
~(~(((y|~(q))>((y|(p>r))|(c&(s|c))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((r|(s|y)))
|
~(~(((y|~(q))>((y|(p>r))|(c&(s|c))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((s&(s&c))&(q>y))|q)&c)
|
~(~((r|(~((~(y)|~(~(s))))>~(c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((p|p)>c))&~((r>~(y))))
|
((s|r)|((k|((p>c)&q))|(s&((q>y)&c))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((q>(k|s))|r)|(q&s)))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((p|p)>c))&~((r>~(y))))
|
~(r)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((q>(k|s))|r)|(q&s)))
|
((s|r)|((k|((p>c)&q))|(s&((q>y)&c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((y&(c|(q|q)))|c)&((q&y)&~(p)))
|
(~(~((q|(~(r)&c))))>y)
| 1 | 1 | 0 | 0 |
entailment
|
~((k|(((k|q)&s)|c)))
|
((k&k)>c)
| 1 | 1 | 1 | 0 |
entailment
|
(((y&(c|(q|q)))|c)&((q&y)&~(p)))
|
((k&k)>c)
| 0 | 1 | 0 | 0 |
not entailment
|
~((k|(((k|q)&s)|c)))
|
(~(~((q|(~(r)&c))))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(r)))
|
((q>~((r|(s&p))))|(s&q))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(y))&~((p>s)))&(s>(q|(r&(p&p)))))
|
(y|(~((~((r|~(q)))>y))&(y&c)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(r)))
|
(y|(~((~((r|~(q)))>y))&(y&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(y))&~((p>s)))&(s>(q|(r&(p&p)))))
|
((q>~((r|(s&p))))|(s&q))
| 0 | 1 | 1 | 0 |
not entailment
|
~(p)
|
(~(p)|y)
| 1 | 0 | 0 | 0 |
entailment
|
~(((p>y)|((r>y)|s)))
|
(~(~((~(r)&(p&p))))|(p|s))
| 1 | 0 | 1 | 0 |
entailment
|
~(p)
|
(~(~((~(r)&(p&p))))|(p|s))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((p>y)|((r>y)|s)))
|
(~(p)|y)
| 0 | 1 | 1 | 0 |
not entailment
|
((((t|((t&d)|t))&p)|p)&~((x|(t&(d&t)))))
|
(x>o)
| 1 | 1 | 0 | 0 |
entailment
|
(x&(p&t))
|
((~(((d>p)|~(v)))|((v>x)>d))>(o|d))
| 1 | 0 | 0 | 0 |
entailment
|
((((t|((t&d)|t))&p)|p)&~((x|(t&(d&t)))))
|
((~(((d>p)|~(v)))|((v>x)>d))>(o|d))
| 0 | 1 | 0 | 0 |
not entailment
|
(x&(p&t))
|
(x>o)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((p&o)&((x&x)&p))&d)|v))
|
((((p&(x&v))>d)>t)|((x>x)&(v>p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(p)))
|
(p>(x&((o&v)>p)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((p&o)&((x&x)&p))&d)|v))
|
(p>(x&((o&v)>p)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(p)))
|
((((p&(x&v))>d)>t)|((x>x)&(v>p)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((t>x)>x)>t))
|
~(~(((v>x)|~((v>((o&d)>o))))))
| 1 | 0 | 0 | 0 |
entailment
|
((v|(d>v))>((o&d)&o))
|
(~(((p|p)>(d&p)))>o)
| 1 | 1 | 0 | 0 |
entailment
|
~((((t>x)>x)>t))
|
(~(((p|p)>(d&p)))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
((v|(d>v))>((o&d)&o))
|
~(~(((v>x)|~((v>((o&d)>o))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&x)
|
(~((v>p))|~(~((t&x))))
| 1 | 0 | 0 | 0 |
entailment
|
(v&(((o>v)|t)&x))
|
(((~(d)>(o|o))|v)&(v|p))
| 1 | 0 | 0 | 0 |
entailment
|
(t&x)
|
(((~(d)>(o|o))|v)&(v|p))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&(((o>v)|t)&x))
|
(~((v>p))|~(~((t&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&~(~((d|o))))
|
(p|(((x&t)|x)>(~(((p>x)|(o>d)))|(t|o))))
| 1 | 0 | 0 | 0 |
entailment
|
((d|(((o>p)|t)&x))&d)
|
(d|(o&(p|v)))
| 1 | 1 | 0 | 0 |
entailment
|
(o&~(~((d|o))))
|
(d|(o&(p|v)))
| 0 | 1 | 0 | 0 |
not entailment
|
((d|(((o>p)|t)&x))&d)
|
(p|(((x&t)|x)>(~(((p>x)|(o>d)))|(t|o))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((((v|v)|o)|v)>(p|(~((t&t))|x))))
|
(t|(v>~(((o&~(o))>(~(o)>x)))))
| 1 | 1 | 1 | 0 |
entailment
|
(x&p)
|
((((o|d)|o)|((((o&o)>t)|o)&(x&(x>p))))>x)
| 1 | 0 | 0 | 0 |
entailment
|
~(((((v|v)|o)|v)>(p|(~((t&t))|x))))
|
((((o|d)|o)|((((o&o)>t)|o)&(x&(x>p))))>x)
| 0 | 0 | 0 | 0 |
not entailment
|
(x&p)
|
(t|(v>~(((o&~(o))>(~(o)>x)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((d|v)>p)&((o&t)&((p>(o&(p&o)))&x)))
|
~(~(((~(x)&(v>(t>v)))>~(~((v>d))))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((d&t)&(x>d)))&(t&v))
|
(v&((p|((x|t)&(v&v)))>~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
(((d|v)>p)&((o&t)&((p>(o&(p&o)))&x)))
|
(v&((p|((x|t)&(v&v)))>~(d)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((d&t)&(x>d)))&(t&v))
|
~(~(((~(x)&(v>(t>v)))>~(~((v>d))))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((v>d)|d)|(o>x)))
|
(v|~(((~(x)&~(t))&(~(v)|o))))
| 1 | 0 | 0 | 0 |
entailment
|
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