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
~(((((w>w)|j)&s)>(~(f)|p)))
(x>w)
0
1
0
0
not entailment
(t&(w&s))
((f&~(e))>~(p))
0
0
0
0
not entailment
((~(~(((s|x)|j)))|(x|s))&~(~(t)))
((~((s|(p&k)))>w)|~(~((p|t))))
1
1
0
0
entailment
~((~(o)>j))
((j&x)>~((w|(~((f&x))>o))))
1
0
0
0
entailment
((~(~(((s|x)|j)))|(x|s))&~(~(t)))
((j&x)>~((w|(~((f&x))>o))))
0
1
0
0
not entailment
~((~(o)>j))
((~((s|(p&k)))>w)|~(~((p|t))))
0
0
0
0
not entailment
(((s|t)&f)&(p&(s>o)))
(p|((~(x)|~(o))|((s>j)&(p>k))))
1
0
0
0
entailment
(~(((o>s)>t))&o)
~((~((f>s))|t))
1
1
0
0
entailment
(((s|t)&f)&(p&(s>o)))
~((~((f>s))|t))
0
1
1
0
not entailment
(~(((o>s)>t))&o)
(p|((~(x)|~(o))|((s>j)&(p>k))))
0
0
0
0
not entailment
(((~(x)>(~(f)>w))&(e&t))&(~(s)>p))
(s>((e|t)|((s|(o>w))&(f&o))))
1
1
0
0
entailment
(~(k)&((f>e)|w))
(~((k>(k>f)))>w)
1
1
1
0
entailment
(((~(x)>(~(f)>w))&(e&t))&(~(s)>p))
(~((k>(k>f)))>w)
0
1
0
0
not entailment
(~(k)&((f>e)|w))
(s>((e|t)|((s|(o>w))&(f&o))))
0
0
0
0
not entailment
~((p|(t|(f>(f&t)))))
(t>s)
1
1
0
0
entailment
(~(j)&(t&(~(((s>t)>w))>(s>(j>~(o))))))
((((j&o)>s)&t)|(~((j>x))|s))
1
1
0
0
entailment
~((p|(t|(f>(f&t)))))
((((j&o)>s)&t)|(~((j>x))|s))
0
0
0
0
not entailment
(~(j)&(t&(~(((s>t)>w))>(s>(j>~(o))))))
(t>s)
0
1
1
1
not entailment
~((p|(j>(t>o))))
(j|~(((w|(p>o))&(~(p)|e))))
1
0
0
0
entailment
~((x|(~(k)>~(w))))
(((j|o)|f)>w)
1
1
0
0
entailment
~((p|(j>(t>o))))
(((j|o)|f)>w)
0
1
0
0
not entailment
~((x|(~(k)>~(w))))
(j|~(((w|(p>o))&(~(p)|e))))
0
0
0
0
not entailment
~(((w|(s&k))>~((p&p))))
(~(((p|e)|o))|p)
1
1
0
0
entailment
~((~(w)>(((f&(x>f))|((o&s)|o))>k)))
((p&w)>x)
1
1
0
0
entailment
~(((w|(s&k))>~((p&p))))
((p&w)>x)
0
1
0
0
not entailment
~((~(w)>(((f&(x>f))|((o&s)|o))>k)))
(~(((p|e)|o))|p)
0
1
0
0
not entailment
((~(i)|w)>((i&r)&~(w)))
(i|((i|((w&~(~((q&i))))|v))&v))
1
0
0
0
entailment
((~(v)&~((w&q)))&(v|w))
((q&r)>(i&((r&w)&(w>~(~(r))))))
1
0
0
0
entailment
((~(i)|w)>((i&r)&~(w)))
((q&r)>(i&((r&w)&(w>~(~(r))))))
0
0
0
0
not entailment
((~(v)&~((w&q)))&(v|w))
(i|((i|((w&~(~((q&i))))|v))&v))
0
0
0
0
not entailment
(((~(i)>i)&(q|i))&((q|r)&r))
((~(((w|(r&i))&~(v)))>i)|(~((r|v))>i))
1
0
0
0
entailment
~((q|i))
(~(~(i))>~(v))
1
0
0
0
entailment
(((~(i)>i)&(q|i))&((q|r)&r))
(~(~(i))>~(v))
0
1
0
0
not entailment
~((q|i))
((~(((w|(r&i))&~(v)))>i)|(~((r|v))>i))
0
0
0
0
not entailment
(q&(q>((r>w)&(v|w))))
(i>q)
1
1
0
0
entailment
~(((q|q)|~((~(w)&((r&q)|((q|v)|i))))))
~(~(((((w|v)|~(((i|w)|q)))&w)>r)))
1
1
1
0
entailment
(q&(q>((r>w)&(v|w))))
~(~(((((w|v)|~(((i|w)|q)))&w)>r)))
0
0
0
0
not entailment
~(((q|q)|~((~(w)&((r&q)|((q|v)|i))))))
(i>q)
0
1
1
0
not entailment
(((q&v)|q)&v)
((r&w)>(q&(r|(w|r))))
1
0
0
0
entailment
(~((i&(((w&i)>((r>r)>~(w)))&v)))>i)
~(((i>~(w))&((r>w)&~(~(w)))))
1
1
1
0
entailment
(((q&v)|q)&v)
~(((i>~(w))&((r>w)&~(~(w)))))
0
0
0
0
not entailment
(~((i&(((w&i)>((r>r)>~(w)))&v)))>i)
((r&w)>(q&(r|(w|r))))
0
1
0
0
not entailment
(~((v|(i|w)))|(~(v)&q))
~(~((~((i&(q>w)))>(~(v)|(v&r)))))
1
0
0
0
entailment
(q&(~(w)|v))
~((~(q)&(q|~(w))))
1
0
1
0
entailment
(~((v|(i|w)))|(~(v)&q))
~((~(q)&(q|~(w))))
0
1
1
0
not entailment
(q&(~(w)|v))
~(~((~((i&(q>w)))>(~(v)|(v&r)))))
0
0
0
0
not entailment
(q&w)
(~(q)>r)
1
0
0
0
entailment
(~((v|q))&i)
~((~(((v|w)&i))&((~(i)|i)>((i|v)>v))))
1
0
0
0
entailment
(q&w)
~((~(((v|w)&i))&((~(i)|i)>((i|v)>v))))
0
0
0
0
not entailment
(~((v|q))&i)
(~(q)>r)
0
1
0
0
not entailment
((i&v)&w)
(i|w)
1
1
1
1
entailment
((r&(i>r))|(i&(q&r)))
(r|((~(v)&i)|(v&q)))
1
1
0
0
entailment
((i&v)&w)
(r|((~(v)&i)|(v&q)))
0
0
0
0
not entailment
((r&(i>r))|(i&(q&r)))
(i|w)
0
1
0
0
not entailment
(((r&w)|~((i|((i&i)|q))))&q)
(~((w|~(r)))>q)
1
1
1
0
entailment
(i&r)
(((q&w)&((i>v)&w))>((r>i)&((v>q)&w)))
1
0
0
0
entailment
(((r&w)|~((i|((i&i)|q))))&q)
(((q&w)&((i>v)&w))>((r>i)&((v>q)&w)))
0
0
0
0
not entailment
(i&r)
(~((w|~(r)))>q)
0
0
0
0
not entailment
(~(~(q))&(i&(v|~(v))))
(w>~(~(q)))
1
1
0
0
entailment
~(((r|q)&q))
~(~((~(q)|((v|v)&i))))
1
0
0
0
entailment
(~(~(q))&(i&(v|~(v))))
~(~((~(q)|((v|v)&i))))
0
1
1
0
not entailment
~(((r|q)&q))
(w>~(~(q)))
0
1
0
0
not entailment
(r&i)
((~(v)&i)|(v|i))
1
0
0
0
entailment
~((~(q)>i))
(i>(((i|q)>q)>~(r)))
1
0
0
0
entailment
(r&i)
(i>(((i|q)>q)>~(r)))
0
0
0
0
not entailment
~((~(q)>i))
((~(v)&i)|(v|i))
0
0
0
0
not entailment
(~(~((r>(w&(v>q)))))>(r&(v&w)))
(q>r)
1
1
1
1
entailment
(~((i>r))&(~(r)&w))
~(~((~((r|r))|~(~((w>q))))))
1
0
0
0
entailment
(~(~((r>(w&(v>q)))))>(r&(v&w)))
~(~((~((r|r))|~(~((w>q))))))
0
1
1
0
not entailment
(~((i>r))&(~(r)&w))
(q>r)
0
1
0
0
not entailment
~((((v>w)>q)>q))
~((~(v)|(q|((v&q)&v))))
1
0
1
0
entailment
(v&((w&v)&q))
((((((q>(r>r))&(w&w))>q)|i)|(i|w))>(r|q))
1
0
0
0
entailment
~((((v>w)>q)>q))
((((((q>(r>r))&(w&w))>q)|i)|(i|w))>(r|q))
0
0
0
0
not entailment
(v&((w&v)&q))
~((~(v)|(q|((v&q)&v))))
0
0
1
0
not entailment
~(w)
((w&~(v))>r)
1
0
0
0
entailment
((q|w)&(q&(~(r)&i)))
((i|w)&~((v&r)))
1
1
0
0
entailment
~(w)
((i|w)&~((v&r)))
0
0
0
0
not entailment
((q|w)&(q&(~(r)&i)))
((w&~(v))>r)
0
1
0
0
not entailment
~(((r>v)>((w|r)>((q>w)>(w&w)))))
(r|(q|w))
1
1
1
0
entailment
~((i>~(i)))
((r>i)|~(((~(((q&q)|w))|q)&(r|r))))
1
0
0
0
entailment
~(((r>v)>((w|r)>((q>w)>(w&w)))))
((r>i)|~(((~(((q&q)|w))|q)&(r|r))))
0
0
0
0
not entailment
~((i>~(i)))
(r|(q|w))
0
1
0
0
not entailment
(~((r>(~((v|v))>v)))|(r&(v|w)))
((i&i)|((w&(v>w))>~((r>i))))
1
1
0
0
entailment
(q&w)
(~(((w&q)|~((w|w))))>((i|v)>q))
1
0
0
0
entailment
(~((r>(~((v|v))>v)))|(r&(v|w)))
(~(((w&q)|~((w|w))))>((i|v)>q))
0
1
0
0
not entailment
(q&w)
((i&i)|((w&(v>w))>~((r>i))))
0
0
0
0
not entailment
~((r>~((v&((r&i)>w)))))
(v|w)
1
1
1
1
entailment
(((v>q)|((q>w)&(i>v)))&~((w|q)))
~((v&q))
1
1
1
1
entailment
~((r>~((v&((r&i)>w)))))
~((v&q))
0
1
0
0
not entailment
(((v>q)|((q>w)&(i>v)))&~((w|q)))
(v|w)
0
1
1
1
not entailment
~(~((((((w|i)&v)|i)>r)&v)))
(~(((r>v)|((w|w)|(r&q))))>((q&r)&q))
1
0
0
0
entailment
(i&(~((w|w))>r))
((((v|((r|w)|w))>r)&r)|(w&w))
1
0
0
0
entailment
~(~((((((w|i)&v)|i)>r)&v)))
((((v|((r|w)|w))>r)&r)|(w&w))
0
1
1
0
not entailment
(i&(~((w|w))>r))
(~(((r>v)|((w|w)|(r&q))))>((q&r)&q))
0
0
0
0
not entailment
(q&(i>i))
(~((v|(w&w)))>~(((v|q)>(i&v))))
1
0
0
0
entailment
(((w>q)&i)&(~(((i&q)|(q|w)))&(r>(q&v))))
(w>v)
1
1
1
1
entailment
(q&(i>i))
(w>v)
0
1
0
0
not entailment
(((w>q)&i)&(~(((i&q)|(q|w)))&(r>(q&v))))
(~((v|(w&w)))>~(((v|q)>(i&v))))
0
1
1
0
not entailment
(r&v)
((w|w)|(v|r))
1
0
0
0
entailment
(~(((i>(q>~(~((q>(v>w))))))>(q|q)))&i)
((q>~(((q|w)>r)))|(v>~(v)))
1
1
0
0
entailment