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
(((i|(i>x))|~((q>((s>w)|f))))>(s&k))
~(~((k&s)))
1
1
1
1
entailment
~(((((f>w)&f)>w)>(f|(w>((x>k)&(i>w))))))
~(~((k&s)))
0
1
0
0
not entailment
(((i|(i>x))|~((q>((s>w)|f))))>(s&k))
(q|~(k))
0
1
1
0
not entailment
~(~((q&((f&f)&i))))
(~(((g|l)&(~(s)&s)))&(i|f))
1
0
0
0
entailment
(~(i)&((f>x)&g))
(g|(k&(k|(~((~((f>g))&q))>q))))
1
0
0
0
entailment
~(~((q&((f&f)&i))))
(g|(k&(k|(~((~((f>g))&q))>q))))
0
0
0
0
not entailment
(~(i)&((f>x)&g))
(~(((g|l)&(~(s)&s)))&(i|f))
0
0
0
0
not entailment
~(((x&q)|~(l)))
((((w>k)&s)>f)|((i|~(((s>q)>l)))>(l&s)))
1
0
0
0
entailment
(((w&k)|f)&~(((s&f)&x)))
(((k|f)|f)|~((~(f)>(w>l))))
1
0
0
0
entailment
~(((x&q)|~(l)))
(((k|f)|f)|~((~(f)>(w>l))))
0
0
0
0
not entailment
(((w&k)|f)&~(((s&f)&x)))
((((w>k)&s)>f)|((i|~(((s>q)>l)))>(l&s)))
0
0
0
0
not entailment
(((k|s)>((g>(l>(q>(k>k))))|x))>(f&l))
((~(s)|f)|((~(l)|x)>(q&w)))
1
1
0
0
entailment
(((k>(l&l))&~((~(l)>(((g|i)>x)>f))))&q)
~(l)
1
1
1
1
entailment
(((k|s)>((g>(l>(q>(k>k))))|x))>(f&l))
~(l)
0
1
1
0
not entailment
(((k>(l&l))&~((~(l)>(((g|i)>x)>f))))&q)
((~(s)|f)|((~(l)|x)>(q&w)))
0
1
0
0
not entailment
(h&k)
((~(a)>(k&a))|(~((x&r))|((k|x)>h)))
1
0
0
0
entailment
~(~((~(k)&x)))
((r|x)|r)
1
1
0
0
entailment
(h&k)
((r|x)|r)
0
0
0
0
not entailment
~(~((~(k)&x)))
((~(a)>(k&a))|(~((x&r))|((k|x)>h)))
0
0
0
0
not entailment
((h|x)&h)
((x>(h|r))|((x|x)&r))
1
0
0
0
entailment
~(a)
((k&(a&a))>(((a>r)|r)|x))
1
0
0
0
entailment
((h|x)&h)
((k&(a&a))>(((a>r)|r)|x))
0
0
0
0
not entailment
~(a)
((x>(h|r))|((x|x)&r))
0
0
0
0
not entailment
(h&(~(h)|(k&x)))
(((a>k)&k)|r)
1
1
0
0
entailment
((~(((~(h)|h)&r))&h)&(r|a))
~(r)
1
1
1
1
entailment
(h&(~(h)|(k&x)))
~(r)
0
1
0
0
not entailment
((~(((~(h)|h)&r))&h)&(r|a))
(((a>k)&k)|r)
0
1
0
0
not entailment
((r>x)&(a&x))
(h|((a&~(x))|((x|x)&x)))
1
0
0
0
entailment
(k&~(((x>(k|h))>(k>(h|x)))))
((((r>a)&(x&((k>x)>(a&h))))|k)|(~(k)&k))
1
0
0
0
entailment
((r>x)&(a&x))
((((r>a)&(x&((k>x)>(a&h))))|k)|(~(k)&k))
0
0
0
0
not entailment
(k&~(((x>(k|h))>(k>(h|x)))))
(h|((a&~(x))|((x|x)&x)))
0
1
0
0
not entailment
((h>~((r>a)))&((r&r)&r))
((~(h)&k)|(k|((r|x)|(k&a))))
1
0
0
0
entailment
~((h>r))
(~((k|(a&k)))>h)
1
0
0
0
entailment
((h>~((r>a)))&((r&r)&r))
(~((k|(a&k)))>h)
0
1
0
0
not entailment
~((h>r))
((~(h)&k)|(k|((r|x)|(k&a))))
0
0
0
0
not entailment
(~((x>(a&a)))&~(r))
(k>(r>x))
1
1
0
0
entailment
((a>(r>a))>(~(x)&h))
((~((h&r))|((x|a)>a))>((a|(h|k))|r))
1
0
0
0
entailment
(~((x>(a&a)))&~(r))
((~((h&r))|((x|a)>a))>((a|(h|k))|r))
0
0
0
0
not entailment
((a>(r>a))>(~(x)&h))
(k>(r>x))
0
1
0
0
not entailment
((x|(a|~(a)))>r)
(~(((~((k>~(~(a))))&(~(x)>h))>r))>x)
1
0
0
0
entailment
((h>r)>(a&h))
(~((a>(h|k)))>(~(a)&~(~((h>a)))))
1
0
0
0
entailment
((x|(a|~(a)))>r)
(~((a>(h|k)))>(~(a)&~(~((h>a)))))
0
0
0
0
not entailment
((h>r)>(a&h))
(~(((~((k>~(~(a))))&(~(x)>h))>r))>x)
0
0
0
0
not entailment
(h&x)
(h&x)
1
1
1
1
entailment
~((~((h&x))>k))
(k>((x|(h&k))>a))
1
1
0
0
entailment
(h&x)
(k>((x|(h&k))>a))
0
0
0
0
not entailment
~((~((h&x))>k))
(h&x)
0
1
1
0
not entailment
((((h|(a>(r|a)))>x)&(h|(r&h)))&(x>h))
((x|h)&((h|a)&(r|h)))
1
1
1
1
entailment
(~((a>a))|(x&k))
~(~((k|r)))
1
1
0
0
entailment
((((h|(a>(r|a)))>x)&(h|(r&h)))&(x>h))
~(~((k|r)))
0
1
0
0
not entailment
(~((a>a))|(x&k))
((x|h)&((h|a)&(r|h)))
0
0
0
0
not entailment
~((((h>x)&h)>(r>(k&x))))
(((~(x)>(k|r))>(a|(h&x)))&(((r|x)&x)|k))
1
0
0
0
entailment
~(((k&~(((k&k)|k)))|a))
~(((a&((h&~((k&a)))>(x|k)))&(x>(x|k))))
1
0
0
0
entailment
~((((h>x)&h)>(r>(k&x))))
~(((a&((h&~((k&a)))>(x|k)))&(x>(x|k))))
0
0
0
0
not entailment
~(((k&~(((k&k)|k)))|a))
(((~(x)>(k|r))>(a|(h&x)))&(((r|x)&x)|k))
0
0
0
0
not entailment
~(~(~(((x&(~(r)>((k|k)>h)))>~(h)))))
(~((k&(k&r)))|h)
1
1
1
0
entailment
~((r&a))
((a&((r|k)&(r>h)))>(h>(r>k)))
1
0
0
0
entailment
~(~(~(((x&(~(r)>((k|k)>h)))>~(h)))))
((a&((r|k)&(r>h)))>(h>(r>k)))
0
1
0
0
not entailment
~((r&a))
(~((k&(k&r)))|h)
0
0
0
0
not entailment
~((h>~(a)))
~(~((r|(h|a))))
1
0
0
0
entailment
~(k)
(((x>k)&r)|~(k))
1
0
0
0
entailment
~((h>~(a)))
(((x>k)&r)|~(k))
0
0
0
0
not entailment
~(k)
~(~((r|(h|a))))
0
0
0
0
not entailment
~(((~(r)|(k|k))|~(~(x))))
((k>(r|a))|(~(a)&a))
1
1
0
0
entailment
~((a|h))
~(((r&a)&h))
1
0
0
0
entailment
~(((~(r)|(k|k))|~(~(x))))
~(((r&a)&h))
0
1
0
0
not entailment
~((a|h))
((k>(r|a))|(~(a)&a))
0
0
0
0
not entailment
~((~(((h&x)&a))&~(h)))
(h&(r|h))
1
1
0
0
entailment
~((a|~((x&((r|k)|r)))))
((x|~(((r|k)&(r>h))))>x)
1
1
0
0
entailment
~((~(((h&x)&a))&~(h)))
((x|~(((r|k)&(r>h))))>x)
0
1
0
0
not entailment
~((a|~((x&((r|k)|r)))))
(h&(r|h))
0
1
0
0
not entailment
((q|((((q>q)>q)|q)&q))&(q&q))
((q|q)&q)
1
1
1
1
entailment
(~(q)&(((q&q)&(q>q))>(q&q)))
((q>q)>(~((q|~(q)))|~((q&q))))
1
0
1
1
entailment
((q|((((q>q)>q)|q)&q))&(q&q))
((q>q)>(~((q|~(q)))|~((q&q))))
0
0
1
1
not entailment
(~(q)&(((q&q)&(q>q))>(q&q)))
((q|q)&q)
0
1
1
1
not entailment
(q&((q&(q>q))&((q>q)>((q>q)>q))))
((q&((~(q)&(q&q))>(q&q)))|q)
1
1
1
1
entailment
~(q)
~(~(~(q)))
1
0
1
1
entailment
(q&((q&(q>q))&((q>q)>((q>q)>q))))
~(~(~(q)))
0
1
1
1
not entailment
~(q)
((q&((~(q)&(q&q))>(q&q)))|q)
0
0
1
0
not entailment
(q&q)
((q&(q>q))&(q&q))
1
0
1
0
entailment
~((~((~(q)&q))&q))
(~(q)|~(q))
1
1
1
1
entailment
(q&q)
(~(q)|~(q))
0
0
1
0
not entailment
~((~((~(q)&q))&q))
((q&(q>q))&(q&q))
0
1
1
1
not entailment
((y&y)&(((y|y)&(y|y))&y))
(y|y)
1
1
1
1
entailment
~((((((y&y)|y)|y)&((y>(y&(y&y)))&y))|y))
~((~(~((~(y)|y)))>(y&y)))
1
1
1
1
entailment
((y&y)&(((y|y)&(y|y))&y))
~((~(~((~(y)|y)))>(y&y)))
0
0
1
0
not entailment
~((((((y&y)|y)|y)&((y>(y&(y&y)))&y))|y))
(y|y)
0
1
1
1
not entailment
((y|((y&(~(y)>y))&(~(y)|y)))&y)
(y&(~((y|y))|((y&(y|y))&(y&((y|y)|y)))))
1
0
1
1
entailment
(~(((y>y)>y))&((y>y)|(y>y)))
~(((y&y)&~(~(y))))
1
1
1
1
entailment
((y|((y&(~(y)>y))&(~(y)|y)))&y)
~(((y&y)&~(~(y))))
0
1
1
1
not entailment
(~(((y>y)>y))&((y>y)|(y>y)))
(y&(~((y|y))|((y&(y|y))&(y&((y|y)|y)))))
0
0
1
1
not entailment
(y&(~(((y&(y&y))|y))|y))
((~(y)>y)&((y|y)>y))
1
1
1
1
entailment
~(((((y|y)&y)>y)>y))
~(y)
1
1
1
1
entailment
(y&(~(((y&(y&y))|y))|y))
~(y)
0
1
1
1
not entailment
~(((((y|y)&y)>y)>y))
((~(y)>y)&((y|y)>y))
0
1
1
1
not entailment
((y&y)&(((y&y)|y)&y))
((((y|y)&y)>(y>y))&y)
1
1
1
0
entailment
~(((~(y)>~((y|y)))>(y&y)))
((y&((y|y)|y))>~((((y|y)>(y|y))>y)))
1
0
1
1
entailment
((y&y)&(((y&y)|y)&y))
((y&((y|y)|y))>~((((y|y)>(y|y))>y)))
0
0
1
0
not entailment
~(((~(y)>~((y|y)))>(y&y)))
((((y|y)&y)>(y>y))&y)
0
1
1
1
not entailment
((y|(~(~(y))|~(y)))&(y&y))
(((~(y)&y)>y)>~(~(y)))
1
1
1
1
entailment