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 |
|---|---|---|---|---|---|---|
(~(~(~(s)))&z)
|
~((((((v>k)&~(v))&g)&w)&s))
| 1 | 0 | 0 | 0 |
entailment
|
((z&m)&~(j))
|
((v|(k|(n>v)))|(((j|n)&j)>(n>w)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(s)))&z)
|
((v|(k|(n>v)))|(((j|n)&j)>(n>w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&m)&~(j))
|
~((((((v>k)&~(v))&g)&w)&s))
| 0 | 0 | 0 | 0 |
not entailment
|
(((w>~(((g>(m&g))|g)))&(m&z))&(~(w)>k))
|
((w>(g>m))|k)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(s)>g)&s))
|
(j|(s>v))
| 1 | 1 | 0 | 0 |
entailment
|
(((w>~(((g>(m&g))|g)))&(m&z))&(~(w)>k))
|
(j|(s>v))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(s)>g)&s))
|
((w>(g>m))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((j&k)&k)
|
((~(~((s&~(g))))|(g&((g&w)&~(z))))>j)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(s)|(v&n)))
|
(k>(z>~(~(s))))
| 1 | 1 | 0 | 0 |
entailment
|
((j&k)&k)
|
(k>(z>~(~(s))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(s)|(v&n)))
|
((~(~((s&~(g))))|(g&((g&w)&~(z))))>j)
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>(v>s)))
|
(s>(j|(j&k)))
| 1 | 1 | 0 | 0 |
entailment
|
((((s&k)&g)&s)&(g&(w&s)))
|
(((~(z)|v)>~(~(~(((j|k)&z)))))>w)
| 1 | 0 | 0 | 0 |
entailment
|
~((m>(v>s)))
|
(((~(z)|v)>~(~(~(((j|k)&z)))))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
((((s&k)&g)&s)&(g&(w&s)))
|
(s>(j|(j&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
((n&j)|~((w>w)))
|
((~((g&s))&v)>((j|~(s))|(~(k)|j)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~((g|j))>j))))
|
~((g&(g|(z&(j>j)))))
| 1 | 1 | 0 | 0 |
entailment
|
((n&j)|~((w>w)))
|
~((g&(g|(z&(j>j)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~((g|j))>j))))
|
((~((g&s))&v)>((j|~(s))|(~(k)|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(((p>d)|p)>d))
|
((o|(((p|d)|o)&~(o)))|((d&o)|p))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~((((o>d)&d)>((o|f)|o)))|f))>o))
|
(((d&o)|o)>p)
| 1 | 1 | 0 | 0 |
entailment
|
(d&(((p>d)|p)>d))
|
(((d&o)|o)>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((~((((o>d)&d)>((o|f)|o)))|f))>o))
|
((o|(((p|d)|o)&~(o)))|((d&o)|p))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f|~(p)))
|
~((f|~((~((d&(d&(f>d))))|(d&p)))))
| 1 | 0 | 0 | 0 |
entailment
|
((f>p)&~((f>(o|~(p)))))
|
(~(o)&~(((o>d)&~((f|(p|f))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((f|~(p)))
|
(~(o)&~(((o>d)&~((f|(p|f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f>p)&~((f>(o|~(p)))))
|
~((f|~((~((d&(d&(f>d))))|(d&p)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((o|o)|(~(d)&d))
|
(((p|((d|f)|o))|(p&f))&((d&(p&f))>(d|d)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((o&d))>~(p)))>((f&d)&o))
|
((((o>o)|f)>d)|~(~((d|(d|((f|p)>f))))))
| 1 | 0 | 1 | 0 |
entailment
|
((o|o)|(~(d)&d))
|
((((o>o)|f)>d)|~(~((d|(d|((f|p)>f))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((o&d))>~(p)))>((f&d)&o))
|
(((p|((d|f)|o))|(p&f))&((d&(p&f))>(d|d)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((f>(p>p))>f)&d)
|
((f>(d|~(~(p))))&d)
| 1 | 0 | 1 | 0 |
entailment
|
(~((d|(((f>f)&(o>p))|(f>f))))|p)
|
(o|p)
| 1 | 1 | 1 | 1 |
entailment
|
(((f>(p>p))>f)&d)
|
(o|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((d|(((f>f)&(o>p))|(f>f))))|p)
|
((f>(d|~(~(p))))&d)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(p)|((d|(p|d))&(o&p))))
|
(~((o|o))|(d&(f>(d&d))))
| 1 | 1 | 0 | 0 |
entailment
|
~((p&(((f&p)&~(d))>p)))
|
(((p&f)&(p|(f>d)))>d)
| 1 | 1 | 1 | 0 |
entailment
|
~((~(p)|((d|(p|d))&(o&p))))
|
(((p&f)&(p|(f>d)))>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((p&(((f&p)&~(d))>p)))
|
(~((o|o))|(d&(f>(d&d))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(o)
|
((o&o)>(p&o))
| 1 | 0 | 0 | 0 |
entailment
|
(f&((o|p)&(f|p)))
|
((((p>~((p>p)))&p)>(~(~(f))&d))>(p>f))
| 1 | 0 | 0 | 0 |
entailment
|
~(o)
|
((((p>~((p>p)))&p)>(~(~(f))&d))>(p>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&((o|p)&(f|p)))
|
((o&o)>(p&o))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((o&f)|~((f|d))))
|
(o>(d&o))
| 1 | 1 | 1 | 0 |
entailment
|
(((((p&f)>~(o))&p)>d)>((f>o)&p))
|
(((~((f|d))>(o|p))&f)|p)
| 1 | 1 | 1 | 0 |
entailment
|
~(((o&f)|~((f|d))))
|
(((~((f|d))>(o|p))&f)|p)
| 0 | 0 | 0 | 0 |
not entailment
|
(((((p&f)>~(o))&p)>d)>((f>o)&p))
|
(o>(d&o))
| 0 | 1 | 1 | 0 |
not entailment
|
((f&(d&d))&(o|(f&d)))
|
((~(o)|f)|((~((o|f))|d)&~(~(p))))
| 1 | 0 | 0 | 0 |
entailment
|
(o&(d>o))
|
(o&((d>d)|((d&o)>(o&f))))
| 1 | 0 | 0 | 0 |
entailment
|
((f&(d&d))&(o|(f&d)))
|
(o&((d>d)|((d&o)>(o&f))))
| 0 | 0 | 1 | 0 |
not entailment
|
(o&(d>o))
|
((~(o)|f)|((~((o|f))|d)&~(~(p))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((d&p)>p)>(p&d))&(o&(f|((p|p)>(f&f)))))
|
((p>f)|~((((d>(o>f))|(f&p))|p)))
| 1 | 1 | 1 | 0 |
entailment
|
~((p>f))
|
(p>~(f))
| 1 | 1 | 1 | 0 |
entailment
|
((((d&p)>p)>(p&d))&(o&(f|((p|p)>(f&f)))))
|
(p>~(f))
| 0 | 1 | 1 | 0 |
not entailment
|
~((p>f))
|
((p>f)|~((((d>(o>f))|(f&p))|p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&o)
|
~(~((~(((p>f)&o))>~(~(p)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((o&o))&(~((d>p))|((f|o)&o)))
|
~((o|(((p|~((p&o)))&d)>p)))
| 1 | 1 | 1 | 0 |
entailment
|
(d&o)
|
~((o|(((p|~((p&o)))&d)>p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((o&o))&(~((d>p))|((f|o)&o)))
|
~(~((~(((p>f)&o))>~(~(p)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((f&o)|(f&o))>d))
|
((f>~(f))>(d|d))
| 1 | 1 | 1 | 0 |
entailment
|
((p>o)&(((d|(f|o))&~(p))&(~(f)|p)))
|
(f>d)
| 1 | 1 | 1 | 1 |
entailment
|
~((((f&o)|(f&o))>d))
|
(f>d)
| 0 | 1 | 1 | 0 |
not entailment
|
((p>o)&(((d|(f|o))&~(p))&(~(f)|p)))
|
((f>~(f))>(d|d))
| 0 | 1 | 1 | 1 |
not entailment
|
((f&p)&~(((f>o)>~(d))))
|
(~(~(((f>((d|f)>((f|(f>o))>o)))|p)))>d)
| 1 | 0 | 1 | 0 |
entailment
|
~((p|((p|(f&p))|~(((o|((d|f)|o))>p)))))
|
(~(~(~(~(f))))>~(d))
| 1 | 1 | 1 | 1 |
entailment
|
((f&p)&~(((f>o)>~(d))))
|
(~(~(~(~(f))))>~(d))
| 0 | 1 | 1 | 0 |
not entailment
|
~((p|((p|(f&p))|~(((o|((d|f)|o))>p)))))
|
(~(~(((f>((d|f)>((f|(f>o))>o)))|p)))>d)
| 0 | 1 | 1 | 0 |
not entailment
|
(o&p)
|
((p>p)>(~((p&d))>(~((o|o))>(f>o))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(((d>((p>f)>d))&(f&p))))&(d>d))
|
(((o>p)&~(((p>p)>f)))>(d>((d|o)&f)))
| 1 | 1 | 0 | 0 |
entailment
|
(o&p)
|
(((o>p)&~(((p>p)>f)))>(d>((d|o)&f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((d>((p>f)>d))&(f&p))))&(d>d))
|
((p>p)>(~((p&d))>(~((o|o))>(f>o))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(o)>(f|f))
|
((f|d)|(o|o))
| 1 | 1 | 0 | 0 |
entailment
|
((o>o)>~(o))
|
((p>(o|~(o)))&(o>f))
| 1 | 0 | 0 | 0 |
entailment
|
(~(o)>(f|f))
|
((p>(o|~(o)))&(o>f))
| 0 | 0 | 0 | 0 |
not entailment
|
((o>o)>~(o))
|
((f|d)|(o|o))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&p)&(o|p))
|
((~((p>f))|f)|(~(~((f>d)))&o))
| 1 | 0 | 0 | 0 |
entailment
|
~(f)
|
(~(p)|~((p&f)))
| 1 | 0 | 0 | 0 |
entailment
|
((f&p)&(o|p))
|
(~(p)|~((p&f)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(f)
|
((~((p>f))|f)|(~(~((f>d)))&o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((p>o)|(p|f))&(p&o))))
|
(f>p)
| 1 | 1 | 1 | 0 |
entailment
|
((p>(~(((p&p)&d))&o))&((p&f)>(d|d)))
|
(((f>(f&o))&(p>f))|(~(~((f|f)))|~(d)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((((p>o)|(p|f))&(p&o))))
|
(((f>(f&o))&(p>f))|(~(~((f|f)))|~(d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((p>(~(((p&p)&d))&o))&((p&f)>(d|d)))
|
(f>p)
| 0 | 1 | 1 | 0 |
not entailment
|
((((((h>z)|d)>d)&(r>a))>~(t))&~(~(d)))
|
((~(a)&((a&z)|r))|~((r&(r>(a>t)))))
| 1 | 1 | 1 | 0 |
entailment
|
((h&d)&((a>(r&h))|~((d>(t>z)))))
|
~(((~(h)>d)&(~(h)&(((d&d)>(r&h))|z))))
| 1 | 0 | 1 | 0 |
entailment
|
((((((h>z)|d)>d)&(r>a))>~(t))&~(~(d)))
|
~(((~(h)>d)&(~(h)&(((d&d)>(r&h))|z))))
| 0 | 1 | 1 | 0 |
not entailment
|
((h&d)&((a>(r&h))|~((d>(t>z)))))
|
((~(a)&((a&z)|r))|~((r&(r>(a>t)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((a|(d>a)))
|
~(~(((((~(t)|d)>h)>r)>~((h&(a|a))))))
| 1 | 0 | 0 | 0 |
entailment
|
((d&(~((d|t))>r))&~(~(z)))
|
(r|z)
| 1 | 1 | 1 | 1 |
entailment
|
~((a|(d>a)))
|
(r|z)
| 0 | 1 | 0 | 0 |
not entailment
|
((d&(~((d|t))>r))&~(~(z)))
|
~(~(((((~(t)|d)>h)>r)>~((h&(a|a))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(a)|~(d)))
|
((h|(d|a))|(t&t))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(z)&((h>h)|r)))
|
~(((r|z)>~(((d&t)>(d|r)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(a)|~(d)))
|
~(((r|z)>~(((d&t)>(d|r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(z)&((h>h)|r)))
|
((h|(d|a))|(t&t))
| 0 | 1 | 0 | 0 |
not entailment
|
~((t&r))
|
((z|d)|((h|(r>z))|~(~((t>~((r|r)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(a|~((t>((a|a)|t))))
|
(~(z)|((a&z)&a))
| 1 | 1 | 0 | 0 |
entailment
|
~((t&r))
|
(~(z)|((a&z)&a))
| 0 | 0 | 0 | 0 |
not entailment
|
(a|~((t>((a|a)|t))))
|
((z|d)|((h|(r>z))|~(~((t>~((r|r)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
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