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
((k>((q&e)>w))&(q&(k|z)))
(((k&(k|e))>q)|(~(e)&(k&(((z&w)|e)>e))))
1
0
1
0
entailment
(w&((z|q)&e))
(k|((z|q)&w))
1
1
0
0
entailment
((k>((q&e)>w))&(q&(k|z)))
(k|((z|q)&w))
0
1
1
1
not entailment
(w&((z|q)&e))
(((k&(k|e))>q)|(~(e)&(k&(((z&w)|e)>e))))
0
0
0
0
not entailment
((w&q)&(((q&(e|z))|z)&((z&k)|e)))
((((k|q)>~(w))>(z>(q|((z|k)|e))))&w)
1
0
1
0
entailment
(~(k)&(w>~(q)))
(k>(z&((e|(q&~((e|z))))|(z>(q|q)))))
1
0
0
0
entailment
((w&q)&(((q&(e|z))|z)&((z&k)|e)))
(k>(z&((e|(q&~((e|z))))|(z>(q|q)))))
0
0
1
0
not entailment
(~(k)&(w>~(q)))
((((k|q)>~(w))>(z>(q|((z|k)|e))))&w)
0
0
0
0
not entailment
((w&z)|(~(w)>~(((~((w|q))&w)>(z&e)))))
(~((~(z)>w))>(((~((e>(z&q)))>w)|e)>w))
1
1
1
0
entailment
~((k>w))
(w>(~(~((~(e)|q)))|(q|k)))
1
0
0
0
entailment
((w&z)|(~(w)>~(((~((w|q))&w)>(z&e)))))
(w>(~(~((~(e)|q)))|(q|k)))
0
1
0
0
not entailment
~((k>w))
(~((~(z)>w))>(((~((e>(z&q)))>w)|e)>w))
0
0
0
0
not entailment
(z&(q>~(q)))
(((k|(z&((q>~(z))|k)))&(z>q))>q)
1
0
0
0
entailment
(~(((~((q&z))&e)>~(z)))|(e&k))
~(((z|(~(~(z))|k))&~(e)))
1
1
1
0
entailment
(z&(q>~(q)))
~(((z|(~(~(z))|k))&~(e)))
0
0
0
0
not entailment
(~(((~((q&z))&e)>~(z)))|(e&k))
(((k|(z&((q>~(z))|k)))&(z>q))>q)
0
1
1
0
not entailment
(q&~((q>z)))
~((w&z))
1
1
0
0
entailment
((e&q)&(q&((k|(z|z))|(k|z))))
(~(z)>k)
1
1
1
1
entailment
(q&~((q>z)))
(~(z)>k)
0
1
0
0
not entailment
((e&q)&(q&((k|(z|z))|(k|z))))
~((w&z))
0
1
0
0
not entailment
(e|(q&k))
(((e&e)|(w|e))|(q|k))
1
0
0
0
entailment
(z&((z|(q|(z&e)))&z))
(q>((w|~(z))>(q>(q&w))))
1
0
0
0
entailment
(e|(q&k))
(q>((w|~(z))>(q>(q&w))))
0
0
0
0
not entailment
(z&((z|(q|(z&e)))&z))
(((e&e)|(w|e))|(q|k))
0
1
0
0
not entailment
(((k>k)|e)&(w&e))
~((((e&((k>k)|w))|(q>k))>~((w>(e>e)))))
1
0
0
0
entailment
~(z)
(z>(~((k&(e|z)))|q))
1
0
0
0
entailment
(((k>k)|e)&(w&e))
(z>(~((k&(e|z)))|q))
0
0
0
0
not entailment
~(z)
~((((e&((k>k)|w))|(q>k))>~((w>(e>e)))))
0
0
0
0
not entailment
~((((e>w)|w)|(k|w)))
(w>(((((z&z)|k)>(w>z))|(k>e))&~((e&e))))
1
0
0
0
entailment
(k&(~(e)|q))
(~((((k>(e|q))>(k>w))&z))>((e>q)|k))
1
0
0
0
entailment
~((((e>w)|w)|(k|w)))
(~((((k>(e|q))>(k>w))&z))>((e>q)|k))
0
0
0
0
not entailment
(k&(~(e)|q))
(w>(((((z&z)|k)>(w>z))|(k>e))&~((e&e))))
0
0
0
0
not entailment
(k&~((~(k)|((q|~(w))&(e&~(q))))))
((w>k)|e)
1
1
1
0
entailment
~(~((~(e)&q)))
(((k|w)|e)>(w>(z>q)))
1
0
0
0
entailment
(k&~((~(k)|((q|~(w))&(e&~(q))))))
(((k|w)|e)>(w>(z>q)))
0
1
0
0
not entailment
~(~((~(e)&q)))
((w>k)|e)
0
1
0
0
not entailment
(k&~((((e|((w|z)|q))&(~(q)>~(k)))>z)))
(~((e>z))>q)
1
1
1
0
entailment
(w&(((e|e)>~(((k&k)>q)))>z))
(w&w)
1
1
1
1
entailment
(k&~((((e|((w|z)|q))&(~(q)>~(k)))>z)))
(w&w)
0
1
1
1
not entailment
(w&(((e|e)>~(((k&k)>q)))>z))
(~((e>z))>q)
0
1
1
0
not entailment
(((z>q)&(~(~(e))&q))&k)
((w&w)>k)
1
1
0
0
entailment
~((e|(e&(q|w))))
(e>~(z))
1
1
0
0
entailment
(((z>q)&(~(~(e))&q))&k)
(e>~(z))
0
1
1
0
not entailment
~((e|(e&(q|w))))
((w&w)>k)
0
1
0
0
not entailment
(q&~(((e>(((e|w)|k)&(z|(q>k))))|k)))
(z>e)
1
1
1
1
entailment
(~((~(~(~(q)))&k))&k)
((z|((q>(e&~(~(e))))>(q|e)))&k)
1
0
0
0
entailment
(q&~(((e>(((e|w)|k)&(z|(q>k))))|k)))
((z|((q>(e&~(~(e))))>(q|e)))&k)
0
1
1
0
not entailment
(~((~(~(~(q)))&k))&k)
(z>e)
0
1
0
0
not entailment
~(((w>k)|z))
(~(w)>z)
1
1
1
0
entailment
(q&k)
~((((k|(q&q))&q)>~(((q>k)&k))))
1
0
1
0
entailment
~(((w>k)|z))
~((((k|(q&q))&q)>~(((q>k)&k))))
0
0
0
0
not entailment
(q&k)
(~(w)>z)
0
0
0
0
not entailment
(~(z)&(z|(q&k)))
(z>((q|z)&((e|q)&(e&w))))
1
0
0
0
entailment
~(((k|~((~(~(z))>e)))>~(e)))
(e|((w>(k&~((z>e))))>~((e>z))))
1
1
0
0
entailment
(~(z)&(z|(q&k)))
(e|((w>(k&~((z>e))))>~((e>z))))
0
0
0
0
not entailment
~(((k|~((~(~(z))>e)))>~(e)))
(z>((q|z)&((e|q)&(e&w))))
0
1
0
0
not entailment
(w&((w|w)&w))
(w&w)
1
1
1
1
entailment
~(((w&(w&w))&(w&(((w|(w|w))>w)>w))))
(((w>w)&w)>(~(w)|~(w)))
1
1
1
1
entailment
(w&((w|w)&w))
(((w>w)&w)>(~(w)|~(w)))
0
0
1
0
not entailment
~(((w&(w&w))&(w&(((w|(w|w))>w)>w))))
(w&w)
0
1
1
1
not entailment
(w&w)
(((w>(w>w))>w)&(w|~(w)))
1
0
1
0
entailment
(w>((~(w)&w)&w))
(~(((w&w)>((w&w)|(w|w))))|(w>~((w|w))))
1
0
1
1
entailment
(w&w)
(~(((w&w)>((w&w)|(w|w))))|(w>~((w|w))))
0
0
1
0
not entailment
(w>((~(w)&w)&w))
(((w>(w>w))>w)&(w|~(w)))
0
0
1
1
not entailment
(w|w)
~(~((((w&w)|w)&(w|w))))
1
0
1
1
entailment
((((w>(w>w))>w)>~(w))&(w>w))
~(w)
1
1
1
1
entailment
(w|w)
~(w)
0
1
1
0
not entailment
((((w>(w>w))>w)>~(w))&(w>w))
~(~((((w&w)|w)&(w|w))))
0
1
1
1
not entailment
~((~(w)|~((w>(w&w)))))
((w&w)&(((w&~(w))&w)>~((w>(w|w)))))
1
0
1
1
entailment
~((w&w))
(((w>(w&w))|w)&~(w))
1
0
1
0
entailment
~((~(w)|~((w>(w&w)))))
(((w>(w&w))|w)&~(w))
0
1
1
1
not entailment
~((w&w))
((w&w)&(((w&~(w))&w)>~((w>(w|w)))))
0
0
1
0
not entailment
((~(~((x>x)))|(x>p))>(c&(a>p)))
((c|c)|((p&(d>(c>z)))&(~(c)>~(c))))
1
0
0
0
entailment
~((~(z)>(~(z)&((p&(~(c)>x))&x))))
~((~((z>a))&(c>d)))
1
1
0
0
entailment
((~(~((x>x)))|(x>p))>(c&(a>p)))
~((~((z>a))&(c>d)))
0
1
0
0
not entailment
~((~(z)>(~(z)&((p&(~(c)>x))&x))))
((c|c)|((p&(d>(c>z)))&(~(c)>~(c))))
0
1
0
0
not entailment
~((a&(p|(a>~(c)))))
((((p>c)|c)|(x&~((d>a))))|((z&a)>(z>x)))
1
0
0
0
entailment
((p|z)&(a&z))
((c|(p&a))|z)
1
1
0
0
entailment
~((a&(p|(a>~(c)))))
((c|(p&a))|z)
0
1
0
0
not entailment
((p|z)&(a&z))
((((p>c)|c)|(x&~((d>a))))|((z&a)>(z>x)))
0
0
0
0
not entailment
(((p&d)|(~(~(((p|x)|x)))|~((a&x))))&c)
((c&(d>d))|~(~(c)))
1
1
1
0
entailment
~((((c|p)&d)|(p|z)))
((((p>d)&c)>c)>~((((a|z)|p)&z)))
1
0
0
0
entailment
(((p&d)|(~(~(((p|x)|x)))|~((a&x))))&c)
((((p>d)&c)>c)>~((((a|z)|p)&z)))
0
1
0
0
not entailment
~((((c|p)&d)|(p|z)))
((c&(d>d))|~(~(c)))
0
1
1
0
not entailment
(z&c)
(((c>a)>(c|c))|~(~(z)))
1
0
0
0
entailment
~((x>(a|p)))
(~((d|p))>x)
1
1
0
0
entailment
(z&c)
(~((d|p))>x)
0
0
0
0
not entailment
~((x>(a|p)))
(((c>a)>(c|c))|~(~(z)))
0
0
0
0
not entailment
~((c>(((z|d)&((z&z)>((d|p)&x)))&(a|c))))
(((x|p)>p)>c)
1
1
1
0
entailment
(a|(a&d))
(z|((p>(z>~(~(a))))>a))
1
0
0
0
entailment
~((c>(((z|d)&((z&z)>((d|p)&x)))&(a|c))))
(z|((p>(z>~(~(a))))>a))
0
1
1
0
not entailment
(a|(a&d))
(((x|p)>p)>c)
0
0
0
0
not entailment
((c&(x&c))&d)
(p|c)
1
1
0
0
entailment
~((((z|(x|d))>(p|d))|a))
((~(a)>(d&x))>p)
1
1
1
0
entailment
((c&(x&c))&d)
((~(a)>(d&x))>p)
0
0
0
0
not entailment
~((((z|(x|d))>(p|d))|a))
(p|c)
0
1
0
0
not entailment
((p&c)&z)
((z&z)>p)
1
1
1
0
entailment
~(p)
~(p)
1
1
1
1
entailment
((p&c)&z)
~(p)
0
1
1
0
not entailment
~(p)
((z&z)>p)
0
0
0
0
not entailment