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
(p&(i|(i|h)))
(~((i|p))>f)
1
1
0
0
entailment
((h&~((p&f)))|(f&h))
(~(((f|f)|(h&h)))>(f&h))
1
0
1
1
entailment
(p&(i|(i|h)))
(~(((f|f)|(h&h)))>(f&h))
0
0
0
0
not entailment
((h&~((p&f)))|(f&h))
(~((i|p))>f)
0
1
0
0
not entailment
((((i&~(p))|((h&i)>f))|(f>((i|h)|i)))&f)
(i|f)
1
1
1
1
entailment
((p>(f>(p>f)))>((f|h)>i))
((~(~(~((((i&f)&p)|i))))>h)|(f>h))
1
0
1
0
entailment
((((i&~(p))|((h&i)>f))|(f>((i|h)|i)))&f)
((~(~(~((((i&f)&p)|i))))>h)|(f>h))
0
1
1
0
not entailment
((p>(f>(p>f)))>((f|h)>i))
(i|f)
0
1
1
1
not entailment
~(~(~(((i&h)>~(f)))))
(((i&h)>f)&~(~((i>i))))
1
1
1
0
entailment
(p&i)
(f>((h>((i>f)>p))|~((i>(h|i)))))
1
0
0
0
entailment
~(~(~(((i&h)>~(f)))))
(f>((h>((i>f)>p))|~((i>(h|i)))))
0
0
0
0
not entailment
(p&i)
(((i&h)>f)&~(~((i>i))))
0
0
0
0
not entailment
~(((i|i)>(h|h)))
~(((p&(i&~(~(p))))&h))
1
0
0
0
entailment
(h&p)
(p&p)
1
1
1
1
entailment
~(((i|i)>(h|h)))
(p&p)
0
1
0
0
not entailment
(h&p)
~(((p&(i&~(~(p))))&h))
0
0
0
0
not entailment
~(~((~(((p&f)&h))&f)))
~((((~(i)&~(f))>(i|f))>((p&~(f))&f)))
1
0
0
0
entailment
((~((f|i))|p)|p)
((p|~(f))|(~(i)&f))
1
0
1
0
entailment
~(~((~(((p&f)&h))&f)))
((p|~(f))|(~(i)&f))
0
1
0
0
not entailment
((~((f|i))|p)|p)
~((((~(i)&~(f))>(i|f))>((p&~(f))&f)))
0
0
1
0
not entailment
((f&p)&p)
((i|f)|h)
1
1
0
0
entailment
~(~(~(((~(p)>i)|(~(i)&(f|i))))))
(((((h|f)&(h|i))|h)&i)>(((i|f)&h)&i))
1
1
0
0
entailment
((f&p)&p)
(((((h|f)&(h|i))|h)&i)>(((i|f)&h)&i))
0
0
0
0
not entailment
~(~(~(((~(p)>i)|(~(i)&(f|i))))))
((i|f)|h)
0
1
0
0
not entailment
~((((h>f)&~((i|i)))>(~(f)|~(h))))
(((h|f)|p)&(((h|h)|h)|f))
1
1
0
0
entailment
~(((p|f)|f))
(~(f)|(h&(i&(p&((p|i)>f)))))
1
0
0
0
entailment
~((((h>f)&~((i|i)))>(~(f)|~(h))))
(~(f)|(h&(i&(p&((p|i)>f)))))
0
1
0
0
not entailment
~(((p|f)|f))
(((h|f)|p)&(((h|h)|h)|f))
0
0
0
0
not entailment
~(~(~(((p|i)>i))))
((i&((h&i)|~((f>p))))>h)
1
0
0
0
entailment
((f|((f|f)|i))&(h>p))
((f|h)|((i|i)&((f|f)|i)))
1
0
1
0
entailment
~(~(~(((p|i)>i))))
((f|h)|((i|i)&((f|f)|i)))
0
0
0
0
not entailment
((f|((f|f)|i))&(h>p))
((i&((h&i)|~((f>p))))>h)
0
0
1
0
not entailment
(h&f)
(((f|p)|i)>~(~((f&h))))
1
0
0
0
entailment
~(~(p))
((i>p)|(f&p))
1
0
0
0
entailment
(h&f)
((i>p)|(f&p))
0
0
0
0
not entailment
~(~(p))
(((f|p)|i)>~(~((f&h))))
0
0
0
0
not entailment
((f&((h>p)>(i>h)))|~(((f|f)|~(h))))
((p>((p>~(p))|h))|(f&f))
1
1
1
1
entailment
((p&p)&((p>p)&i))
((f>i)&i)
1
1
0
0
entailment
((f&((h>p)>(i>h)))|~(((f|f)|~(h))))
((f>i)&i)
0
1
1
0
not entailment
((p&p)&((p>p)&i))
((p>((p>~(p))|h))|(f&f))
0
0
0
0
not entailment
((((p|i)|(i>i))>f)&(((h>p)>i)&(h&(h|h))))
(p|(f|p))
1
1
1
0
entailment
(i&h)
(((~(h)>f)|h)>(~(((~(f)>h)|p))|(i|p)))
1
0
0
0
entailment
((((p|i)|(i>i))>f)&(((h>p)>i)&(h&(h|h))))
(((~(h)>f)|h)>(~(((~(f)>h)|p))|(i|p)))
0
1
1
0
not entailment
(i&h)
(p|(f|p))
0
0
0
0
not entailment
(f&((f|p)&h))
(~((p|(((f>h)|p)>(p&f))))>h)
1
0
1
0
entailment
~((h|p))
(p>~(i))
1
1
0
0
entailment
(f&((f|p)&h))
(p>~(i))
0
1
0
0
not entailment
~((h|p))
(~((p|(((f>h)|p)>(p&f))))>h)
0
0
0
0
not entailment
((p>(p&h))&i)
(~(~(~((h&~(f)))))|~(~((i&(f>h)))))
1
0
0
0
entailment
(((p>f)>(p&p))&(h|i))
((p>p)>p)
1
1
1
0
entailment
((p>(p&h))&i)
((p>p)>p)
0
1
1
1
not entailment
(((p>f)>(p&p))&(h|i))
(~(~(~((h&~(f)))))|~(~((i&(f>h)))))
0
0
1
0
not entailment
((i|((h>f)|p))&~(((p>(f>h))>i)))
(((f&(i|i))&~((p&~(f))))>(~(p)|h))
1
0
1
1
entailment
((i|p)&(i|i))
(((~(p)|i)|p)>i)
1
0
1
0
entailment
((i|((h>f)|p))&~(((p>(f>h))>i)))
(((~(p)|i)|p)>i)
0
1
1
1
not entailment
((i|p)&(i|i))
(((f&(i|i))&~((p&~(f))))>(~(p)|h))
0
0
0
0
not entailment
((~(p)|f)&~(((h|f)|((f>~(h))&i))))
((h>~((i&p)))|~((h>(((h>f)&f)>~(h)))))
1
0
1
1
entailment
(i&h)
(i&(~(f)>((h|f)|~((p|f)))))
1
0
0
0
entailment
((~(p)|f)&~(((h|f)|((f>~(h))&i))))
(i&(~(f)>((h|f)|~((p|f)))))
0
1
1
0
not entailment
(i&h)
((h>~((i&p)))|~((h>(((h>f)&f)>~(h)))))
0
0
0
0
not entailment
~(((e>(e>w))>~(o)))
(((w&w)|o)|o)
1
1
1
1
entailment
~(~((((e>e)&e)|~((e>(o>(o&o)))))))
(o>e)
1
1
1
1
entailment
~(((e>(e>w))>~(o)))
(o>e)
0
1
1
0
not entailment
~(~((((e>e)&e)|~((e>(o>(o&o)))))))
(((w&w)|o)|o)
0
1
0
0
not entailment
(o|(o&~(o)))
((w>(o&w))|(w>o))
1
0
0
0
entailment
(~(((w|w)|~(e)))|(o>~(w)))
((o&(w|~(o)))>e)
1
1
1
0
entailment
(o|(o&~(o)))
((o&(w|~(o)))>e)
0
0
0
0
not entailment
(~(((w|w)|~(e)))|(o>~(w)))
((w>(o&w))|(w>o))
0
1
1
0
not entailment
(o|o)
((w>w)>~(((w&w)&(o>~((w|e))))))
1
0
0
0
entailment
~(~(((o>(e&(o>w)))&w)))
((((w>(e|e))|w)&e)|(w|(w|w)))
1
0
1
0
entailment
(o|o)
((((w>(e|e))|w)&e)|(w|(w|w)))
0
0
0
0
not entailment
~(~(((o>(e&(o>w)))&w)))
((w>w)>~(((w&w)&(o>~((w|e))))))
0
0
1
0
not entailment
((~(o)|e)&e)
~(((w|w)&(~(((o|w)>o))&(~(e)|o))))
1
0
0
0
entailment
~((o|(o&e)))
~(~(~((o&~(~(~(w)))))))
1
0
0
0
entailment
((~(o)|e)&e)
~(~(~((o&~(~(~(w)))))))
0
0
0
0
not entailment
~((o|(o&e)))
~(((w|w)&(~(((o|w)>o))&(~(e)|o))))
0
0
0
0
not entailment
(o&~(e))
(w|((o|e)&((e|e)|((w&w)>(e>w)))))
1
0
0
0
entailment
~(o)
~(((o>(o&(o&(w|o))))>o))
1
0
0
0
entailment
(o&~(e))
~(((o>(o&(o&(w|o))))>o))
0
0
0
0
not entailment
~(o)
(w|((o|e)&((e|e)|((w&w)>(e>w)))))
0
0
0
0
not entailment
~(~((w&((o>o)|(w&((e|o)>~(~(o))))))))
(((~(o)>(e>o))|(o&o))>(e>(w&w)))
1
1
1
0
entailment
(((o>~(((w|o)|(o|e))))|(w|o))&(e&o))
((~((w&o))&~(e))|((w>o)&(e|w)))
1
1
1
1
entailment
~(~((w&((o>o)|(w&((e|o)>~(~(o))))))))
((~((w&o))&~(e))|((w>o)&(e|w)))
0
1
1
0
not entailment
(((o>~(((w|o)|(o|e))))|(w|o))&(e&o))
(((~(o)>(e>o))|(o&o))>(e>(w&w)))
0
1
1
1
not entailment
((((o&w)>(w&(~(e)&w)))|~((~(w)&o)))&e)
((w|e)&(((w>w)|w)|(~((e|o))>~(~(e)))))
1
1
1
0
entailment
~(~((~(e)|(w&o))))
(((e>w)|o)|((w&(((e|o)&o)>e))|~(~(o))))
1
0
1
0
entailment
((((o&w)>(w&(~(e)&w)))|~((~(w)&o)))&e)
(((e>w)|o)|((w&(((e|o)&o)>e))|~(~(o))))
0
1
1
0
not entailment
~(~((~(e)|(w&o))))
((w|e)&(((w>w)|w)|(~((e|o))>~(~(e)))))
0
0
1
0
not entailment
(o>(((w|o)|(e|e))&(e&e)))
~(~((((w|w)&o)>e)))
1
1
1
0
entailment
~((o>~(o)))
(o|e)
1
1
0
0
entailment
(o>(((w|o)|(e|e))&(e&e)))
(o|e)
0
1
1
1
not entailment
~((o>~(o)))
~(~((((w|w)&o)>e)))
0
0
0
0
not entailment
~(((((e|e)|((~(o)|o)|(e&e)))>e)>~(o)))
((~(e)&((o&(e&o))|(e>o)))>w)
1
1
0
0
entailment
~(o)
~((((w&~(e))|o)&o))
1
0
0
0
entailment
~(((((e|e)|((~(o)|o)|(e&e)))>e)>~(o)))
~((((w&~(e))|o)&o))
0
1
0
0
not entailment
~(o)
((~(e)&((o&(e&o))|(e>o)))>w)
0
0
0
0
not entailment
(~(~((o&w)))|w)
(~(~(o))|(e>(((~((o&w))|o)&w)|(w|w))))
1
0
0
0
entailment
(~((e>w))&~(~(e)))
(e|~(w))
1
1
1
1
entailment
(~(~((o&w)))|w)
(e|~(w))
0
1
0
0
not entailment
(~((e>w))&~(~(e)))
(~(~(o))|(e>(((~((o&w))|o)&w)|(w|w))))
0
0
0
0
not entailment