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
(t&(((g|c)&(n&g))&(a|t)))
(t>c)
0
1
1
0
not entailment
~(((a|((a>c)&c))|(a|t)))
((c>g)&~(t))
1
1
0
0
entailment
((((a>g)>~(~(c)))&c)&(((g>t)>a)&t))
((n|a)&(((t&(g|c))|(t&t))|(n>n)))
1
1
0
0
entailment
~(((a|((a>c)&c))|(a|t)))
((n|a)&(((t&(g|c))|(t&t))|(n>n)))
0
0
0
0
not entailment
((((a>g)>~(~(c)))&c)&(((g>t)>a)&t))
((c>g)&~(t))
0
1
1
0
not entailment
(~(n)>c)
(c|((a&(g|c))>(((x&a)|n)&(g&g))))
1
0
0
0
entailment
((((g&t)&a)>~(t))>~(a))
(n>(~(t)|(a>((n|~(g))>g))))
1
0
0
0
entailment
(~(n)>c)
(n>(~(t)|(a>((n|~(g))>g))))
0
0
0
0
not entailment
((((g&t)&a)>~(t))>~(a))
(c|((a&(g|c))>(((x&a)|n)&(g&g))))
0
0
0
0
not entailment
((x>x)>~(a))
~((a|a))
1
1
1
1
entailment
~((((n|c)&g)>(~(((g|a)>(t>c)))|~(g))))
((x>(((g>g)|n)>(a&~(((c|c)&c)))))>g)
1
1
0
0
entailment
((x>x)>~(a))
((x>(((g>g)|n)>(a&~(((c|c)&c)))))>g)
0
0
0
0
not entailment
~((((n|c)&g)>(~(((g|a)>(t>c)))|~(g))))
~((a|a))
0
1
1
1
not entailment
(~(a)&~(((g>n)|n)))
~((~(g)|(a&(x>g))))
1
1
0
0
entailment
~(((~((n&g))>((~(x)|x)>x))>(g>(x&a))))
(((a>x)|((n|n)>a))&((g>(g>x))|n))
1
1
1
0
entailment
(~(a)&~(((g>n)|n)))
(((a>x)|((n|n)>a))&((g>(g>x))|n))
0
0
0
0
not entailment
~(((~((n&g))>((~(x)|x)>x))>(g>(x&a))))
~((~(g)|(a&(x>g))))
0
1
1
0
not entailment
~((((x&g)&(~(a)&g))>~((n|(g&g)))))
(x|g)
1
1
1
1
entailment
~((~(x)>t))
~(t)
1
1
1
1
entailment
~((((x&g)&(~(a)&g))>~((n|(g&g)))))
~(t)
0
1
0
0
not entailment
~((~(x)>t))
(x|g)
0
1
0
0
not entailment
(g|c)
(~(~(~(~(g))))|c)
1
0
1
1
entailment
~(~(~(((n|c)|(~(x)|(x&g))))))
(~((((x>a)|g)&g))>((x|x)&(n|x)))
1
1
0
0
entailment
(g|c)
(~((((x>a)|g)&g))>((x|x)&(n|x)))
0
0
0
0
not entailment
~(~(~(((n|c)|(~(x)|(x&g))))))
(~(~(~(~(g))))|c)
0
1
1
0
not entailment
(((n|x)&t)&g)
((x|c)|(t&g))
1
1
0
0
entailment
((n&c)|(n&((t&n)|~((((a>(g>n))|g)&g)))))
(~((~(~((t&(a>(t|n)))))>(c|(x|c))))|n)
1
1
0
0
entailment
(((n|x)&t)&g)
(~((~(~((t&(a>(t|n)))))>(c|(x|c))))|n)
0
0
0
0
not entailment
((n&c)|(n&((t&n)|~((((a>(g>n))|g)&g)))))
((x|c)|(t&g))
0
1
0
0
not entailment
(e|(((q|k)|q)&(k>a)))
((((q&f)|((f&d)&q))|(e|q))|(k|f))
1
0
0
0
entailment
(d|d)
(~(((((e|e)>q)|~(f))|k))>d)
1
0
0
0
entailment
(e|(((q|k)|q)&(k>a)))
(~(((((e|e)>q)|~(f))|k))>d)
0
0
0
0
not entailment
(d|d)
((((q&f)|((f&d)&q))|(e|q))|(k|f))
0
0
0
0
not entailment
(q&e)
(e&(e&e))
1
0
1
1
entailment
~(~(~((f|a))))
(a>d)
1
1
0
0
entailment
(q&e)
(a>d)
0
1
0
0
not entailment
~(~(~((f|a))))
(e&(e&e))
0
1
0
0
not entailment
((a>e)&q)
((e>(d|(a|q)))&((d|q)&(d|q)))
1
0
0
0
entailment
~((((~(k)>f)|((q>a)>k))|(a&a)))
((a>(d&q))|k)
1
1
0
0
entailment
((a>e)&q)
((a>(d&q))|k)
0
0
0
0
not entailment
~((((~(k)>f)|((q>a)>k))|(a&a)))
((e>(d|(a|q)))&((d|q)&(d|q)))
0
1
0
0
not entailment
(~(((a&q)|f))|(f>k))
(((f&((f|a)>(a|q)))>(q|((q|a)>k)))|k)
1
0
1
0
entailment
~((q|e))
((((~(((a>q)&k))&f)|d)|~(q))|(~(e)&e))
1
0
0
0
entailment
(~(((a&q)|f))|(f>k))
((((~(((a>q)&k))&f)|d)|~(q))|(~(e)&e))
0
0
0
0
not entailment
~((q|e))
(((f&((f|a)>(a|q)))>(q|((q|a)>k)))|k)
0
0
0
0
not entailment
~((((f|a)&~(~((q&d))))>(e|k)))
((~((e>f))>(k|q))&((f>(a&(q>d)))>d))
1
0
1
0
entailment
~(~((f&a)))
((q&(f>k))>(k|f))
1
0
0
0
entailment
~((((f|a)&~(~((q&d))))>(e|k)))
((q&(f>k))>(k|f))
0
1
1
0
not entailment
~(~((f&a)))
((~((e>f))>(k|q))&((f>(a&(q>d)))>d))
0
0
0
0
not entailment
(q&((a&~(f))&(e|q)))
(a|a)
1
1
1
1
entailment
((d&e)&(a>a))
((e&d)|(~((~(q)>(k>f)))&((k|k)|f)))
1
0
0
0
entailment
(q&((a&~(f))&(e|q)))
((e&d)|(~((~(q)>(k>f)))&((k|k)|f)))
0
0
0
0
not entailment
((d&e)&(a>a))
(a|a)
0
1
1
1
not entailment
(~(((d&a)>~(e)))&((q>(e>a))|~(q)))
(~((a&(d&d)))>~(f))
1
1
0
0
entailment
(~(a)&d)
~((q&a))
1
1
0
0
entailment
(~(((d&a)>~(e)))&((q>(e>a))|~(q)))
~((q&a))
0
1
1
0
not entailment
(~(a)&d)
(~((a&(d&d)))>~(f))
0
0
0
0
not entailment
((a>k)>((f>f)&a))
(~(((d|f)&((q|k)>(a|a))))>(((d&d)|q)>q))
1
0
0
0
entailment
~((k>(d&q)))
(q|k)
1
1
1
0
entailment
((a>k)>((f>f)&a))
(q|k)
0
1
0
0
not entailment
~((k>(d&q)))
(~(((d|f)&((q|k)>(a|a))))>(((d&d)|q)>q))
0
0
0
0
not entailment
~(((a|(d|d))|((q>~(e))>(q|a))))
((e&a)|(q>a))
1
1
1
0
entailment
~((~(((f&e)&~(a)))|(k|~((f|(k&a))))))
(((a>e)&a)|e)
1
1
1
1
entailment
~(((a|(d|d))|((q>~(e))>(q|a))))
(((a>e)&a)|e)
0
1
1
0
not entailment
~((~(((f&e)&~(a)))|(k|~((f|(k&a))))))
((e&a)|(q>a))
0
1
0
0
not entailment
~(((e&a)>(d&(e|e))))
((q>a)&(d>(a&(q>d))))
1
1
0
0
entailment
(~(a)&~(((d>a)>~(~((e|d))))))
(((q|e)&~((e>e)))|(a>(d&q)))
1
1
0
0
entailment
~(((e&a)>(d&(e|e))))
(((q|e)&~((e>e)))|(a>(d&q)))
0
0
0
0
not entailment
(~(a)&~(((d>a)>~(~((e|d))))))
((q>a)&(d>(a&(q>d))))
0
1
0
0
not entailment
~((a>q))
(~(((e>e)>d))>(a|~((q&~(f)))))
1
0
0
0
entailment
(~(~(e))&(q|q))
(k|~(~(q)))
1
1
0
0
entailment
~((a>q))
(k|~(~(q)))
0
0
0
0
not entailment
(~(~(e))&(q|q))
(~(((e>e)>d))>(a|~((q&~(f)))))
0
0
0
0
not entailment
(~(q)&a)
(e>a)
1
1
0
0
entailment
(d|d)
(e|((d|k)&((a>(q>q))|e)))
1
0
0
0
entailment
(~(q)&a)
(e|((d|k)&((a>(q>q))|e)))
0
0
0
0
not entailment
(d|d)
(e>a)
0
1
0
0
not entailment
~((~((q&(e|(~(k)&q))))|~(d)))
((~(d)|q)|(~((e&k))>a))
1
1
0
0
entailment
(d&f)
((k>(~(k)|d))>(f|k))
1
0
0
0
entailment
~((~((q&(e|(~(k)&q))))|~(d)))
((k>(~(k)|d))>(f|k))
0
1
0
0
not entailment
(d&f)
((~(d)|q)|(~((e&k))>a))
0
0
0
0
not entailment
(q&(q&(d&a)))
((f&q)|q)
1
1
0
0
entailment
~(((a&~((k&(q|d))))>((~(f)|k)&a)))
(~(~(e))|f)
1
1
0
0
entailment
(q&(q&(d&a)))
(~(~(e))|f)
0
1
0
0
not entailment
~(((a&~((k&(q|d))))>((~(f)|k)&a)))
((f&q)|q)
0
1
1
0
not entailment
(e&((q>k)&(k>q)))
((d|~((~((e|a))&(f|q))))|k)
1
0
0
0
entailment
(~(~(((~(e)>a)>~(q))))&q)
~(e)
1
1
1
1
entailment
(e&((q>k)&(k>q)))
~(e)
0
1
1
0
not entailment
(~(~(((~(e)>a)>~(q))))&q)
((d|~((~((e|a))&(f|q))))|k)
0
1
0
0
not entailment
((w&f)&((w>f)|((((~(h)&h)|w)&w)|(w|w))))
(~(f)>f)
1
1
1
1
entailment
((w>(w>f))&((w|w)>h))
((h>(f>f))&(f>(w>h)))
1
1
1
0
entailment
((w&f)&((w>f)|((((~(h)&h)|w)&w)|(w|w))))
((h>(f>f))&(f>(w>h)))
0
1
1
0
not entailment
((w>(w>f))&((w|w)>h))
(~(f)>f)
0
1
1
1
not entailment
(w>f)
((h>f)|~((w|f)))
1
0
0
0
entailment
~(~(w))
(f>((~(h)|(w>(f>h)))>(f&(~(h)>w))))
1
0
0
0
entailment
(w>f)
(f>((~(h)|(w>(f>h)))>(f&(~(h)>w))))
0
0
0
0
not entailment
~(~(w))
((h>f)|~((w|f)))
0
0
0
0
not entailment
((w|w)&(((~(f)>w)>w)&(h&h)))
(~((h>w))>w)
1
1
1
0
entailment
((h&~(w))&(h|((f>f)>((h&f)&w))))
((w>(h&(f&f)))|f)
1
1
1
1
entailment
((w|w)&(((~(f)>w)>w)&(h&h)))
((w>(h&(f&f)))|f)
0
1
1
0
not entailment