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
(~(q)>q)
(q|n)
1
1
0
0
entailment
~(~(~(((w|w)>s))))
~(((~(w)&n)&p))
1
1
0
0
entailment
(~(q)>q)
~(((~(w)&n)&p))
0
0
0
0
not entailment
~(~(~(((w|w)>s))))
(q|n)
0
1
0
0
not entailment
((p&p)&((q|p)>~(n)))
(n>q)
1
1
1
0
entailment
((n&e)&(s&~(~((w>(q|(n&n)))))))
(((e|s)|q)>n)
1
1
1
0
entailment
((p&p)&((q|p)>~(n)))
(((e|s)|q)>n)
0
1
0
0
not entailment
((n&e)&(s&~(~((w>(q|(n&n)))))))
(n>q)
0
1
1
0
not entailment
((p&s)&~(~((e|e))))
(((s&s)&p)>(q|e))
1
1
0
0
entailment
(~((w|w))>~(((w&p)>~((n>w)))))
(~(((n|q)&s))|(e>(p>(~(w)>q))))
1
1
0
0
entailment
((p&s)&~(~((e|e))))
(~(((n|q)&s))|(e>(p>(~(w)>q))))
0
0
0
0
not entailment
(~((w|w))>~(((w&p)>~((n>w)))))
(((s&s)&p)>(q|e))
0
1
0
0
not entailment
(~(e)&((w>w)>s))
(w|s)
1
1
1
1
entailment
((((n|s)|q)&e)&((s>e)>n))
((~((n|(s&w)))>n)|~(((s&(s|s))|(w|s))))
1
0
0
0
entailment
(~(e)&((w>w)>s))
((~((n|(s&w)))>n)|~(((s&(s|s))|(w|s))))
0
0
0
0
not entailment
((((n|s)|q)&e)&((s>e)>n))
(w|s)
0
1
0
0
not entailment
(n&(((n>((~(n)>q)>s))&w)&(e&(~(w)|s))))
(w|w)
1
1
1
1
entailment
~(n)
~((((q>q)|s)&~(((n&(p>w))>(q>p)))))
1
0
0
0
entailment
(n&(((n>((~(n)>q)>s))&w)&(e&(~(w)|s))))
~((((q>q)|s)&~(((n&(p>w))>(q>p)))))
0
1
0
0
not entailment
~(n)
(w|w)
0
1
0
0
not entailment
~((((q&w)&w)>~((n|(e&(q|(p&e)))))))
(s>(~(~(n))>((n&w)|(n&(p|e)))))
1
1
0
0
entailment
~((~((q&(s>n)))|((s>e)&q)))
(~((n&(e|n)))>~((~((n&~(w)))|e)))
1
0
0
0
entailment
~((((q&w)&w)>~((n|(e&(q|(p&e)))))))
(~((n&(e|n)))>~((~((n&~(w)))|e)))
0
1
1
0
not entailment
~((~((q&(s>n)))|((s>e)&q)))
(s>(~(~(n))>((n&w)|(n&(p|e)))))
0
0
0
0
not entailment
((e>~(n))&(~((n|s))|~(n)))
((e>(p|e))&((n>p)|((q>w)&(w|(~(s)&e)))))
1
0
0
0
entailment
((q>((p|e)&(~((s>(q&q)))&p)))&(e&e))
(p|(q>n))
1
1
0
0
entailment
((e>~(n))&(~((n|s))|~(n)))
(p|(q>n))
0
1
0
0
not entailment
((q>((p|e)&(~((s>(q&q)))&p)))&(e&e))
((e>(p|e))&((n>p)|((q>w)&(w|(~(s)&e)))))
0
0
0
0
not entailment
(p&((q>~(q))&w))
(s>((((n|w)&w)>~((w|p)))>(n>e)))
1
0
0
0
entailment
(~(~(((n>s)&q)))&(~((p>p))>~(q)))
(((s>(p&q))|~(~((q>w))))>((p>(n>e))>q))
1
0
0
0
entailment
(p&((q>~(q))&w))
(((s>(p&q))|~(~((q>w))))>((p>(n>e))>q))
0
0
0
0
not entailment
(~(~(((n>s)&q)))&(~((p>p))>~(q)))
(s>((((n|w)&w)>~((w|p)))>(n>e)))
0
1
0
0
not entailment
((e>(q&p))&~((s>(w>(n|e)))))
((w>~(p))|(s|q))
1
1
1
0
entailment
(~((n&(s&p)))&(e&e))
((((p&q)&n)>e)>((p>q)>(s>(q|e))))
1
0
0
0
entailment
((e>(q&p))&~((s>(w>(n|e)))))
((((p&q)&n)>e)>((p>q)>(s>(q|e))))
0
0
1
0
not entailment
(~((n&(s&p)))&(e&e))
((w>~(p))|(s|q))
0
1
0
0
not entailment
((((s>w)>p)&((n>e)&w))&((p&s)&~((p>q))))
(w|(~(w)&(w|p)))
1
1
1
1
entailment
(n&(e&e))
(p>~(~((p&(e|n)))))
1
0
0
0
entailment
((((s>w)>p)&((n>e)&w))&((p&s)&~((p>q))))
(p>~(~((p&(e|n)))))
0
1
1
0
not entailment
(n&(e&e))
(w|(~(w)&(w|p)))
0
0
0
0
not entailment
((p&p)|p)
((~((w&p))&w)>~((q>((w|(~(e)&w))&q))))
1
0
0
0
entailment
(s&e)
(e|(e|w))
1
0
0
0
entailment
((p&p)|p)
(e|(e|w))
0
1
0
0
not entailment
(s&e)
((~((w&p))&w)>~((q>((w|(~(e)&w))&q))))
0
0
0
0
not entailment
((w|n)&~((q|~((~(p)>~(~(~(q))))))))
~(~((n|w)))
1
1
1
1
entailment
(((~(s)|(w&p))>(~(e)|n))>(e&s))
(n|e)
1
1
1
0
entailment
((w|n)&~((q|~((~(p)>~(~(~(q))))))))
(n|e)
0
1
0
0
not entailment
(((~(s)|(w&p))>(~(e)|n))>(e&s))
~(~((n|w)))
0
1
1
0
not entailment
(~((((p|s)&((q&q)&n))>q))|((~(w)|s)&n))
((n|(w&~(w)))|(p>~((p|(n|s)))))
1
1
1
0
entailment
~(((~(e)|q)>w))
(w>(~((s|((p&p)|((p|w)>q))))&s))
1
0
0
0
entailment
(~((((p|s)&((q&q)&n))>q))|((~(w)|s)&n))
(w>(~((s|((p&p)|((p|w)>q))))&s))
0
1
1
0
not entailment
~(((~(e)|q)>w))
((n|(w&~(w)))|(p>~((p|(n|s)))))
0
0
0
0
not entailment
(n&((~((s>~(~(e))))>((w|s)>n))>(p|s)))
(~((~((s>q))>p))|n)
1
1
0
0
entailment
~((p&p))
~(~(~((e&(p&n)))))
1
0
0
0
entailment
(n&((~((s>~(~(e))))>((w|s)>n))>(p|s)))
~(~(~((e&(p&n)))))
0
1
1
0
not entailment
~((p&p))
(~((~((s>q))>p))|n)
0
0
0
0
not entailment
~((g|~((s&u))))
((g&~((z>h)))>~(((z&g)|((d&g)|h))))
1
0
0
0
entailment
((o&d)&(~(g)>((((z|u)&f)|o)|i)))
((f>f)>((u|z)>((f|g)>o)))
1
1
1
0
entailment
~((g|~((s&u))))
((f>f)>((u|z)>((f|g)>o)))
0
0
0
0
not entailment
((o&d)&(~(g)>((((z|u)&f)|o)|i)))
((g&~((z>h)))>~(((z&g)|((d&g)|h))))
0
0
0
0
not entailment
(((f&i)|(g&f))&(~(i)>j))
((f|z)|((z|o)&~((~(i)|f))))
1
0
0
0
entailment
(g&(h&j))
((j&g)|((i>~(s))>j))
1
0
0
0
entailment
(((f&i)|(g&f))&(~(i)>j))
((j&g)|((i>~(s))>j))
0
1
0
0
not entailment
(g&(h&j))
((f|z)|((z|o)&~((~(i)|f))))
0
0
0
0
not entailment
(~(((i|g)>i))&h)
((o>~((((~((u>g))|o)>d)|(g|h))))|(u>h))
1
0
0
0
entailment
(~((f&s))&(o&s))
((o|z)&(~((~((f|~(j)))|j))|(d>j)))
1
0
0
0
entailment
(~(((i|g)>i))&h)
((o|z)&(~((~((f|~(j)))|j))|(d>j)))
0
0
0
0
not entailment
(~((f&s))&(o&s))
((o>~((((~((u>g))|o)>d)|(g|h))))|(u>h))
0
0
0
0
not entailment
(f&(z&h))
(f|((~((f&g))|(i>u))&((o&z)|d)))
1
0
0
0
entailment
~(i)
((o&i)>g)
1
0
0
0
entailment
(f&(z&h))
((o&i)>g)
0
1
0
0
not entailment
~(i)
(f|((~((f&g))|(i>u))&((o&z)|d)))
0
0
0
0
not entailment
~(((z&u)&(g>(g>(u>(~(g)>j))))))
~(((z&u)&(d|(~(j)>(s&i)))))
1
1
0
0
entailment
(((((d&(u|h))>o)&(i&u))|z)&z)
(((~(s)>h)|((d&u)&~(u)))|~(~(z)))
1
0
0
0
entailment
~(((z&u)&(g>(g>(u>(~(g)>j))))))
(((~(s)>h)|((d&u)&~(u)))|~(~(z)))
0
0
0
0
not entailment
(((((d&(u|h))>o)&(i&u))|z)&z)
~(((z&u)&(d|(~(j)>(s&i)))))
0
1
0
0
not entailment
((f>(i&(((g|f)&i)&i)))>~((i|(g|o))))
(((h|g)&(g>f))|(i>z))
1
1
0
0
entailment
(s&j)
((s|(d>z))|u)
1
0
0
0
entailment
((f>(i&(((g|f)&i)&i)))>~((i|(g|o))))
((s|(d>z))|u)
0
1
0
0
not entailment
(s&j)
(((h|g)&(g>f))|(i>z))
0
0
0
0
not entailment
~((~(~(i))|z))
(~(((i&j)&d))|(~(z)|~(d)))
1
0
0
0
entailment
~((((s|d)|~((f&d)))&(j>h)))
(~(i)>~((g&~((i|(h>d))))))
1
1
0
0
entailment
~((~(~(i))|z))
(~(i)>~((g&~((i|(h>d))))))
0
0
0
0
not entailment
~((((s|d)|~((f&d)))&(j>h)))
(~(((i&j)&d))|(~(z)|~(d)))
0
1
0
0
not entailment
~((d|(o&(j&f))))
((d>s)|(i&(z&(h&s))))
1
0
0
0
entailment
(g&~((h>s)))
(f|h)
1
1
0
0
entailment
~((d|(o&(j&f))))
(f|h)
0
1
0
0
not entailment
(g&~((h>s)))
((d>s)|(i&(z&(h&s))))
0
0
0
0
not entailment
~(((f>j)>d))
(~(f)|~(d))
1
1
1
1
entailment
~(j)
~(j)
1
1
1
1
entailment
~(((f>j)>d))
~(j)
0
1
1
0
not entailment
~(j)
(~(f)|~(d))
0
0
0
0
not entailment
(((u|o)&s)&((z&f)>(((d>f)|j)>(f>~(g)))))
(((((z>d)|(i>~(s)))>j)|s)|o)
1
1
0
0
entailment
(o>((f>o)&z))
((((i>d)|s)>g)|((~(z)&o)>i))
1
0
0
0
entailment
(((u|o)&s)&((z&f)>(((d>f)|j)>(f>~(g)))))
((((i>d)|s)>g)|((~(z)&o)>i))
0
1
0
0
not entailment
(o>((f>o)&z))
(((((z>d)|(i>~(s)))>j)|s)|o)
0
0
0
0
not entailment
(~((g>h))&~(i))
~(~((((j|h)>((~(~(j))>j)&o))|(h>u))))
1
0
0
0
entailment
(((s|z)>f)&~(~(g)))
(~(~((~((g>z))&s)))>((z&i)|f))
1
0
0
0
entailment
(~((g>h))&~(i))
(~(~((~((g>z))&s)))>((z&i)|f))
0
0
0
0
not entailment
(((s|z)>f)&~(~(g)))
~(~((((j|h)>((~(~(j))>j)&o))|(h>u))))
0
0
0
0
not entailment