Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files
xet
Community
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
(k&k)
(~((j>((w|k)&(t&j))))|~(~(j)))
0
0
0
0
not entailment
~(((j>a)&(~(((~(a)&a)|t))>~(t))))
((j>(m|k))|x)
0
1
0
0
not entailment
((~((e&f))|((k>w)|w))&~(((f|p)|t)))
~((w&p))
1
1
1
0
entailment
~((e>(~((((w&e)|w)>(t>f)))>~(p))))
((f>w)&((w>(f&o))|t))
1
1
0
0
entailment
((~((e&f))|((k>w)|w))&~(((f|p)|t)))
((f>w)&((w>(f&o))|t))
0
1
0
0
not entailment
~((e>(~((((w&e)|w)>(t>f)))>~(p))))
~((w&p))
0
1
1
0
not entailment
((w&t)&(e|w))
(t|~(((e&p)&w)))
1
0
0
0
entailment
~(f)
~((o&f))
1
0
0
0
entailment
((w&t)&(e|w))
~((o&f))
0
1
0
0
not entailment
~(f)
(t|~(((e&p)&w)))
0
0
0
0
not entailment
~((((p|w)|(f>p))|(p|((o|k)|k))))
((~((k>(t|f)))>f)|(t&(t|t)))
1
1
0
0
entailment
(((w|f)>(((t>o)>(w&p))|t))&(e&~(t)))
(((f&o)|~((f|f)))|~(~(~((t&(e>e))))))
1
0
1
0
entailment
~((((p|w)|(f>p))|(p|((o|k)|k))))
(((f&o)|~((f|f)))|~(~(~((t&(e>e))))))
0
0
0
0
not entailment
(((w|f)>(((t>o)>(w&p))|t))&(e&~(t)))
((~((k>(t|f)))>f)|(t&(t|t)))
0
1
0
0
not entailment
~(((~((o&o))>w)|p))
((w>t)|f)
1
1
0
0
entailment
~((((w|(~(k)|o))&o)|((f|k)&(p>t))))
((~(~(~(f)))|e)|(p|(e&(t&k))))
1
1
0
0
entailment
~(((~((o&o))>w)|p))
((~(~(~(f)))|e)|(p|(e&(t&k))))
0
0
0
0
not entailment
~((((w|(~(k)|o))&o)|((f|k)&(p>t))))
((w>t)|f)
0
1
1
0
not entailment
~((~(((w>t)>((f>e)>o)))>k))
((f|k)>((t|e)|((o|p)>f)))
1
1
0
0
entailment
((o|e)&((~(~(p))|((k>o)|p))>w))
((~(p)&e)|((k&(t&t))|(~((p|~(e)))|w)))
1
0
0
0
entailment
~((~(((w>t)>((f>e)>o)))>k))
((~(p)&e)|((k&(t&t))|(~((p|~(e)))|w)))
0
0
0
0
not entailment
((o|e)&((~(~(p))|((k>o)|p))>w))
((f|k)>((t|e)|((o|p)>f)))
0
1
0
0
not entailment
((p>t)&e)
(~(~((o|w)))|(e&(w>~(e))))
1
0
0
0
entailment
(~(~((w|(t&p))))&k)
(k|(o|(o|o)))
1
1
0
0
entailment
((p>t)&e)
(k|(o|(o|o)))
0
0
0
0
not entailment
(~(~((w|(t&p))))&k)
(~(~((o|w)))|(e&(w>~(e))))
0
0
0
0
not entailment
((w|f)&t)
(((w>(o&p))>t)|((f&p)>(o&t)))
1
0
0
0
entailment
((k&w)&(t|((~(p)|~(((p|f)&t)))|f)))
(~(((~(t)&((t>p)|o))|w))>~(((w|t)|f)))
1
0
0
0
entailment
((w|f)&t)
(~(((~(t)&((t>p)|o))|w))>~(((w|t)|f)))
0
0
0
0
not entailment
((k&w)&(t|((~(p)|~(((p|f)&t)))|f)))
(((w>(o&p))>t)|((f&p)>(o&t)))
0
1
0
0
not entailment
(p&(~(f)|w))
(t>~(~((~((t&~(k)))>(p|p)))))
1
0
0
0
entailment
~(~((w|f)))
(((~(p)|(f>~((k&w))))|((t>p)|w))>(f|w))
1
0
0
0
entailment
(p&(~(f)|w))
(((~(p)|(f>~((k&w))))|((t>p)|w))>(f|w))
0
0
0
0
not entailment
~(~((w|f)))
(t>~(~((~((t&~(k)))>(p|p)))))
0
0
0
0
not entailment
(k|k)
((~(t)&(w&t))|((w|k)|~((o|(o|f)))))
1
0
0
0
entailment
~((((e&~(f))>k)>(((k&(k>o))|w)|p)))
(p>(o&f))
1
1
1
0
entailment
(k|k)
(p>(o&f))
0
0
0
0
not entailment
~((((e&~(f))>k)>(((k&(k>o))|w)|p)))
((~(t)&(w&t))|((w|k)|~((o|(o|f)))))
0
1
0
0
not entailment
(p&~(t))
~((t&~((f|f))))
1
0
0
0
entailment
~(~((k&((p>t)|(~(w)&(p|(e|w)))))))
((f|k)|f)
1
1
0
0
entailment
(p&~(t))
((f|k)|f)
0
1
0
0
not entailment
~(~((k&((p>t)|(~(w)&(p|(e|w)))))))
~((t&~((f|f))))
0
1
0
0
not entailment
(((w>t)>~(t))&(t>(e&o)))
~((t&p))
1
1
0
0
entailment
((k&e)&(w|(((w&o)&k)&((o|~(e))&(e&t)))))
(~(e)|w)
1
1
1
1
entailment
(((w>t)>~(t))&(t>(e&o)))
(~(e)|w)
0
1
1
0
not entailment
((k&e)&(w|(((w&o)&k)&((o|~(e))&(e&t)))))
~((t&p))
0
1
0
0
not entailment
(~(~(k))|k)
(f>k)
1
1
0
0
entailment
((k|f)&((~(((w>t)|(t&w)))&p)&w))
~(((~(o)&~((p&f)))&~((f>p))))
1
1
0
0
entailment
(~(~(k))|k)
~(((~(o)&~((p&f)))&~((f>p))))
0
0
0
0
not entailment
((k|f)&((~(((w>t)|(t&w)))&p)&w))
(f>k)
0
1
1
0
not entailment
(w&(t&~((o&((e|t)|k)))))
~(~((((p&(w&o))&k)>(e>~(t)))))
1
0
0
0
entailment
((((~(e)|e)|(e|f))>((t&k)&k))&(o&f))
(((p>k)&~((w&e)))>k)
1
1
0
0
entailment
(w&(t&~((o&((e|t)|k)))))
(((p>k)&~((w&e)))>k)
0
1
0
0
not entailment
((((~(e)|e)|(e|f))>((t&k)&k))&(o&f))
~(~((((p&(w&o))&k)>(e>~(t)))))
0
1
0
0
not entailment
(~((t|f))|~(((e>e)|((o|((w>o)|f))|f))))
(k|((e&f)>(((t&t)&k)|~(o))))
1
1
0
0
entailment
((~(~(~(~(p))))|(e|w))>(e&~(w)))
(((f|~(~(~(e))))|k)>((w>k)|o))
1
1
0
0
entailment
(~((t|f))|~(((e>e)|((o|((w>o)|f))|f))))
(((f|~(~(~(e))))|k)>((w>k)|o))
0
1
0
0
not entailment
((~(~(~(~(p))))|(e|w))>(e&~(w)))
(k|((e&f)>(((t&t)&k)|~(o))))
0
1
0
0
not entailment
(~(d)&o)
(o&((o&(d>d))>(d|(d>o))))
1
0
1
0
entailment
~((d>o))
(~(o)|(d|((o&~(o))&(~((d|~(o)))>d))))
1
0
1
0
entailment
(~(d)&o)
(~(o)|(d|((o&~(o))&(~((d|~(o)))>d))))
0
0
1
0
not entailment
~((d>o))
(o&((o&(d>d))>(d|(d>o))))
0
0
1
0
not entailment
((o|~(~((o|o))))&~(~(~(d))))
(~(~((o|(d>o))))&(~(d)>(d|o)))
1
1
1
0
entailment
(~(~((~(d)>d)))&~(o))
((((d>d)|d)|(o>o))&(d|d))
1
1
1
0
entailment
((o|~(~((o|o))))&~(~(~(d))))
((((d>d)|d)|(o>o))&(d|d))
0
1
1
0
not entailment
(~(~((~(d)>d)))&~(o))
(~(~((o|(d>o))))&(~(d)>(d|o)))
0
0
1
0
not entailment
((o&o)&~(((d|o)>d)))
((o&d)>((d|d)>~((o>d))))
1
0
1
0
entailment
((o|~(((d&d)|d)))>(~(d)>d))
(d|d)
1
1
1
1
entailment
((o&o)&~(((d|o)>d)))
(d|d)
0
1
1
1
not entailment
((o|~(((d&d)|d)))>(~(d)>d))
((o&d)>((d|d)>~((o>d))))
0
1
1
0
not entailment
~(~(~(~((o|d)))))
(o|d)
1
1
1
1
entailment
((d&d)>~(d))
(o|((d|o)>o))
1
1
0
0
entailment
~(~(~(~((o|d)))))
(o|((d|o)>o))
0
1
1
0
not entailment
((d&d)>~(d))
(o|d)
0
1
0
0
not entailment
(~(~(((o|d)&o)))&~(d))
(((d&(d>o))&(d|o))|~(d))
1
1
1
1
entailment
(d|d)
((~((d&o))>(~(o)&d))|(o>d))
1
0
0
0
entailment
(~(~(((o|d)&o)))&~(d))
((~((d&o))>(~(o)&d))|(o>d))
0
0
1
0
not entailment
(d|d)
(((d&(d>o))&(d|o))|~(d))
0
0
0
0
not entailment
(o&(o&~(d)))
(o&((d>o)|(d|(o|((o|o)|(d&o))))))
1
0
1
0
entailment
~(~(d))
(~(((d|o)>o))|((o>~((d|(o&o))))|d))
1
0
0
0
entailment
(o&(o&~(d)))
(~(((d|o)>o))|((o>~((d|(o&o))))|d))
0
0
1
0
not entailment
~(~(d))
(o&((d>o)|(d|(o|((o|o)|(d&o))))))
0
0
0
0
not entailment
((((d&(d&o))>(d>o))>o)&(o>(d>d)))
(d|o)
1
1
1
1
entailment
((~(~(o))>(d|d))&(o>(o&(d&o))))
((o&~(d))>~((d>d)))
1
1
1
0
entailment
((((d&(d&o))>(d>o))>o)&(o>(d>d)))
((o&~(d))>~((d>d)))
0
1
1
1
not entailment
((~(~(o))>(d|d))&(o>(o&(d&o))))
(d|o)
0
1
1
1
not entailment
(d&(d&o))
(((o>d)>d)&(d|o))
1
0
1
0
entailment
(((~(~(d))&~((d>d)))|~(d))&(o|(o>d)))
(~(((d|~((d&o)))&(d|d)))&(d|(d>(d&d))))
1
1
1
1
entailment
(d&(d&o))
(~(((d|~((d&o)))&(d|d)))&(d|(d>(d&d))))
0
0
1
0
not entailment
(((~(~(d))&~((d>d)))|~(d))&(o|(o>d)))
(((o>d)>d)&(d|o))
0
1
1
1
not entailment
(((o>o)>(d|d))&o)
(~(o)>d)
1
1
1
1
entailment
(((d|(o>((o|d)>o)))>(d>o))&~(o))
((~(((o&d)&(d|d)))&((d>d)|(o&d)))|~(o))
1
0
1
1
entailment
(((o>o)>(d|d))&o)
((~(((o&d)&(d|d)))&((d>d)|(o&d)))|~(o))
0
0
1
0
not entailment
(((d|(o>((o|d)>o)))>(d>o))&~(o))
(~(o)>d)
0
1
1
1
not entailment
~(~((d&((d>o)|~((o|((o|d)&d)))))))
~(~((((d>~(o))>d)&o)))
1
1
1
1
entailment
(~(~((o|(((d&d)>d)&(d|d)))))&~(d))
~(((d&~(~(o)))&(d&d)))
1
1
1
0
entailment
~(~((d&((d>o)|~((o|((o|d)&d)))))))
~(((d&~(~(o)))&(d&d)))
0
1
1
1
not entailment
(~(~((o|(((d&d)>d)&(d|d)))))&~(d))
~(~((((d>~(o))>d)&o)))
0
1
1
1
not entailment
(~(~((d|d)))|(((o>d)&d)&o))
(((o|(o|d))&d)|~((((d|~(~(d)))&d)|o)))
1
0
1
0
entailment
~((o>((d|o)&~(((o|d)|o)))))
((o|d)&o)
1
1
1
1
entailment