Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files 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
(q&q)
((h>j)|(y>(q|q)))
1
0
0
0
entailment
(h&~((n|i)))
(~((h|j))|(~(~((o>y)))|(n>w)))
1
0
0
0
entailment
(q&q)
(~((h|j))|(~(~((o>y)))|(n>w)))
0
0
0
0
not entailment
(h&~((n|i)))
((h>j)|(y>(q|q)))
0
0
0
0
not entailment
((o|v)&h)
(h|(~(d)&~((((j>n)|w)&i))))
1
0
0
0
entailment
((n&((q&w)&q))|(((o&j)&(d>n))&d))
(~(n)>(~(((j>d)|(h>(q&q))))>(v&n)))
1
0
0
0
entailment
((o|v)&h)
(~(n)>(~(((j>d)|(h>(q&q))))>(v&n)))
0
0
0
0
not entailment
((n&((q&w)&q))|(((o&j)&(d>n))&d))
(h|(~(d)&~((((j>n)|w)&i))))
0
1
0
0
not entailment
(~(~((~(~(y))|o)))&((j&(w|w))&(y|v)))
((q>(w>n))>j)
1
1
0
0
entailment
(((((d&q)&v)>(j&j))|(n|n))&d)
(~(n)|d)
1
1
1
0
entailment
(~(~((~(~(y))|o)))&((j&(w|w))&(y|v)))
(~(n)|d)
0
1
0
0
not entailment
(((((d&q)&v)>(j&j))|(n|n))&d)
((q>(w>n))>j)
0
1
0
0
not entailment
(~((j>i))&(~(~((d>y)))&(o&j)))
((j>~((o|n)))>(~(w)|j))
1
1
0
0
entailment
(~((h>o))&n)
((o&q)>~(y))
1
1
0
0
entailment
(~((j>i))&(~(~((d>y)))&(o&j)))
((o&q)>~(y))
0
1
0
0
not entailment
(~((h>o))&n)
((j>~((o|n)))>(~(w)|j))
0
0
0
0
not entailment
(~((d>i))&~(q))
((q|j)|(i>h))
1
1
0
0
entailment
~((~(j)>y))
((o>w)>(y>v))
1
1
0
0
entailment
(~((d>i))&~(q))
((o>w)>(y>v))
0
1
0
0
not entailment
~((~(j)>y))
((q|j)|(i>h))
0
1
0
0
not entailment
((o&(q>h))&((d>q)|h))
~((~(((q>h)|(o&i)))&(((v|j)&(w&d))&d)))
1
0
0
0
entailment
(((i&n)&((j&~(o))|j))&(o>~(i)))
((o>q)&(q|i))
1
1
0
0
entailment
((o&(q>h))&((d>q)|h))
((o>q)&(q|i))
0
1
0
0
not entailment
(((i&n)&((j&~(o))|j))&(o>~(i)))
~((~(((q>h)|(o&i)))&(((v|j)&(w&d))&d)))
0
0
0
0
not entailment
(n&h)
(j>n)
1
1
0
0
entailment
~((~(h)>i))
((n|(h&v))>(i>d))
1
0
0
0
entailment
(n&h)
((n|(h&v))>(i>d))
0
0
0
0
not entailment
~((~(h)>i))
(j>n)
0
1
0
0
not entailment
((q&i)&(d&((o>(i&w))&(o&w))))
(~(o)|(((h|~(q))>n)|(h|j)))
1
1
0
0
entailment
~((~((~(~((d|n)))|(h&v)))>(j|n)))
~((j&v))
1
1
1
1
entailment
((q&i)&(d&((o>(i&w))&(o&w))))
~((j&v))
0
1
0
0
not entailment
~((~((~(~((d|n)))|(h&v)))>(j|n)))
(~(o)|(((h|~(q))>n)|(h|j)))
0
1
0
0
not entailment
((s|(t|(s&s)))&(t|t))
(((t&t)|s)>t)
1
1
1
0
entailment
(((s|t)&s)&(((t>t)|(s>t))>s))
((s&t)|(s|s))
1
1
1
1
entailment
((s|(t|(s&s)))&(t|t))
((s&t)|(s|s))
0
1
1
1
not entailment
(((s|t)&s)&(((t>t)|(s>t))>s))
(((t&t)|s)>t)
0
1
1
0
not entailment
(~((t&s))>s)
((s>t)>t)
1
1
1
0
entailment
~(((s&(t|s))|(s&t)))
((s&s)>((t|(s&(s&~(t))))&((s&t)&t)))
1
0
1
0
entailment
(~((t&s))>s)
((s&s)>((t|(s&(s&~(t))))&((s&t)&t)))
0
0
1
0
not entailment
~(((s&(t|s))|(s&t)))
((s>t)>t)
0
1
1
0
not entailment
((((s>t)|(t>(t>(t&s))))&t)&s)
((t|((t&~(t))&s))>((t&s)&(t|~((t&s)))))
1
0
1
1
entailment
~(~((t&~(s))))
(((s>s)>~(~((s&(t|(s&(t|t)))))))>~(t))
1
0
1
0
entailment
((((s>t)|(t>(t>(t&s))))&t)&s)
(((s>s)>~(~((s&(t|(s&(t|t)))))))>~(t))
0
0
1
1
not entailment
~(~((t&~(s))))
((t|((t&~(t))&s))>((t&s)&(t|~((t&s)))))
0
0
1
0
not entailment
((s&(~((~(t)|t))>((s|s)&~(t))))&(t&t))
~(~((s|((t&s)&((t|s)&t)))))
1
1
1
1
entailment
((t>~((s&t)))&t)
((t&(((s>s)&t)&s))>~(s))
1
0
1
0
entailment
((s&(~((~(t)|t))>((s|s)&~(t))))&(t&t))
((t&(((s>s)&t)&s))>~(s))
0
1
1
0
not entailment
((t>~((s&t)))&t)
~(~((s|((t&s)&((t|s)&t)))))
0
0
1
0
not entailment
(((t|s)>((s&t)|(s|((t&~(~(s)))&t))))&t)
((t|(t&t))&((~(t)>~(t))|s))
1
1
1
1
entailment
~((~(t)>s))
~(s)
1
1
1
1
entailment
(((t|s)>((s&t)|(s|((t&~(~(s)))&t))))&t)
~(s)
0
1
1
1
not entailment
~((~(t)>s))
((t|(t&t))&((~(t)>~(t))|s))
0
0
1
0
not entailment
(t&t)
(~(((~(~(t))&s)&(s&t)))>t)
1
0
0
0
entailment
(~(s)>s)
(((t&s)>~((t>s)))>s)
1
0
0
0
entailment
(t&t)
(((t&s)>~((t>s)))>s)
0
0
0
0
not entailment
(~(s)>s)
(~(((~(~(t))&s)&(s&t)))>t)
0
0
0
0
not entailment
~(((t>s)>s))
((t|~(t))&~(t))
1
0
1
0
entailment
((t&t)&~(s))
((((t>s)&s)|t)&(((s|s)>t)|(t&(s|s))))
1
0
1
0
entailment
~(((t>s)>s))
((((t>s)&s)|t)&(((s|s)>t)|(t&(s|s))))
0
0
1
0
not entailment
((t&t)&~(s))
((t|~(t))&~(t))
0
0
1
0
not entailment
((s&s)>(~((s|(t>s)))&~(s)))
((s>(s>t))|(t|(((s&t)|t)&((s|t)&s))))
1
0
1
0
entailment
(s&~((t&s)))
~(~((~((~(t)>(s|s)))>(((t&s)|t)|s))))
1
0
1
0
entailment
((s&s)>(~((s|(t>s)))&~(s)))
~(~((~((~(t)>(s|s)))>(((t&s)|t)|s))))
0
0
1
0
not entailment
(s&~((t&s)))
((s>(s>t))|(t|(((s&t)|t)&((s|t)&s))))
0
0
1
0
not entailment
(~(~(~(((t|(s&t))>s))))&~(~((t&t))))
~(((t|t)&s))
1
1
1
0
entailment
(((s|s)|(t&(~(t)&(s&s))))&(s&(s&t)))
(((t>((~(~((t|s)))>t)>t))>s)&s)
1
1
1
0
entailment
(~(~(~(((t|(s&t))>s))))&~(~((t&t))))
(((t>((~(~((t|s)))>t)>t))>s)&s)
0
1
1
0
not entailment
(((s|s)|(t&(~(t)&(s&s))))&(s&(s&t)))
~(((t|t)&s))
0
1
1
0
not entailment
(i&i)
(((i&i)|(i&i))|((i&i)&i))
1
0
1
1
entailment
(~((i&i))|(i>~(i)))
~((i|i))
1
1
1
1
entailment
(i&i)
~((i|i))
0
0
1
0
not entailment
(~((i&i))|(i>~(i)))
(((i&i)|(i&i))|((i&i)&i))
0
0
1
0
not entailment
((i|(i&i))&i)
~((~(((i|i)|(i>i)))|~(i)))
1
0
1
0
entailment
~(i)
(~((i&((i&i)>i)))&(i>~(i)))
1
0
1
0
entailment
((i|(i&i))&i)
(~((i&((i&i)>i)))&(i>~(i)))
0
0
1
0
not entailment
~(i)
~((~(((i|i)|(i>i)))|~(i)))
0
0
1
0
not entailment
~((~((i&~(~(i))))|~(((i>i)&i))))
((((i&i)|i)|(i&i))&~(~((i>i))))
1
1
1
1
entailment
~(~(~(i)))
~((i|i))
1
1
1
1
entailment
~((~((i&~(~(i))))|~(((i>i)&i))))
~((i|i))
0
1
1
1
not entailment
~(~(~(i)))
((((i&i)|i)|(i&i))&~(~((i>i))))
0
0
1
0
not entailment
(i&(i>i))
(~(((i&i)|(i|i)))>(i&(i|i)))
1
0
1
1
entailment
(((i|~(i))&~(i))|~(i))
((i>(i|(i>i)))>~(i))
1
1
1
1
entailment
(i&(i>i))
((i>(i|(i>i)))>~(i))
0
0
1
1
not entailment
(((i|~(i))&~(i))|~(i))
(~(((i&i)|(i|i)))>(i&(i|i)))
0
0
1
1
not entailment
(~(~(((i&i)&i)))|~(~(((i|i)|i))))
((~(i)>~((i&i)))&i)
1
1
1
0
entailment
(~(i)&(i>~(~(i))))
~(i)
1
1
1
1
entailment
(~(~(((i&i)&i)))|~(~(((i|i)|i))))
~(i)
0
1
1
0
not entailment
(~(i)&(i>~(~(i))))
((~(i)>~((i&i)))&i)
0
1
1
1
not entailment
(i|i)
(i&i)
1
1
1
1
entailment
~(((i&(i>i))&(~(((i&i)&i))|i)))
~(((i|i)&(((i|((i|i)|i))&i)>(i>i))))
1
0
1
1
entailment
(i|i)
~(((i|i)&(((i|((i|i)|i))&i)>(i>i))))
0
0
1
0
not entailment
~(((i&(i>i))&(~(((i&i)&i))|i)))
(i&i)
0
1
1
1
not entailment
(i&i)
((((i&i)&(i>i))|((i&i)|~(i)))>i)
1
0
1
0
entailment
~((((i|i)&((i&i)&i))|i))
((i|i)>((i>i)>~((~(i)>i))))
1
0
1
0
entailment
(i&i)
((i|i)>((i>i)>~((~(i)>i))))
0
0
1
0
not entailment
~((((i|i)&((i&i)&i))|i))
((((i&i)&(i>i))|((i&i)|~(i)))>i)
0
0
1
0
not entailment
((j>~(((s|s)>d)))&((o&j)&(i|s)))
(j&((j&d)>(i>d)))
1
1
1
0
entailment
~(((o|d)>~(~((o>i)))))
((i&o)>(~(~((d&(d&d))))&o))
1
0
1
0
entailment
((j>~(((s|s)>d)))&((o&j)&(i|s)))
((i&o)>(~(~((d&(d&d))))&o))
0
1
1
0
not entailment
~(((o|d)>~(~((o>i)))))
(j&((j&d)>(i>d)))
0
1
0
0
not entailment