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&x)
((~(~((x&v)))|h)|((((q>g)|h)>g)>z))
0
0
0
0
not entailment
~(((d|d)|~((g&~(v)))))
(~(~((((d|g)>d)&q)))|(v>h))
1
0
0
0
entailment
(d&(((g>(((d&h)>(x>h))|w))>h)>~((i|d))))
(((((h>h)&q)&(x&x))|v)>d)
1
1
0
0
entailment
~(((d|d)|~((g&~(v)))))
(((((h>h)&q)&(x&x))|v)>d)
0
1
0
0
not entailment
(d&(((g>(((d&h)>(x>h))|w))>h)>~((i|d))))
(~(~((((d|g)>d)&q)))|(v>h))
0
1
0
0
not entailment
(h|h)
(h&((i|(g&i))|(((z|h)>(z|v))>h)))
1
0
0
0
entailment
~(~(z))
(w|(z|~(q)))
1
0
0
0
entailment
(h|h)
(w|(z|~(q)))
0
0
0
0
not entailment
~(~(z))
(h&((i|(g&i))|(((z|h)>(z|v))>h)))
0
0
0
0
not entailment
(((d|h)|h)&((i>((q&z)>((h>d)|q)))>z))
((w>((g>x)|z))|(w&(~((v&w))>q)))
1
1
0
0
entailment
(((d|d)|~((((x>v)>d)&x)))&~(v))
(g|(v>w))
1
1
0
0
entailment
(((d|h)|h)&((i>((q&z)>((h>d)|q)))>z))
(g|(v>w))
0
1
0
0
not entailment
(((d|d)|~((((x>v)>d)&x)))&~(v))
((w>((g>x)|z))|(w&(~((v&w))>q)))
0
1
0
0
not entailment
(((g>z)&(w|((q|x)|~(x))))&v)
~(~(v))
1
1
1
1
entailment
~((d>(x|v)))
(x>i)
1
1
0
0
entailment
(((g>z)&(w|((q|x)|~(x))))&v)
(x>i)
0
1
0
0
not entailment
~((d>(x|v)))
~(~(v))
0
1
1
0
not entailment
((w|~(((w>h)|w)))&(w>v))
(~(w)>((d>~(d))>(d|z)))
1
1
0
0
entailment
(~(z)&(~((h|x))&(v|v)))
~(z)
1
1
1
1
entailment
((w|~(((w>h)|w)))&(w>v))
~(z)
0
1
0
0
not entailment
(~(z)&(~((h|x))&(v|v)))
(~(w)>((d>~(d))>(d|z)))
0
1
0
0
not entailment
~((((w|q)&(d>v))|(((x|z)>(i>h))|~(w))))
(((q|i)>~(w))>z)
1
1
1
0
entailment
(((z>i)&(i&q))&i)
(((x>g)&z)>(d>((q>x)>q)))
1
0
0
0
entailment
~((((w|q)&(d>v))|(((x|z)>(i>h))|~(w))))
(((x>g)&z)>(d>((q>x)>q)))
0
1
0
0
not entailment
(((z>i)&(i&q))&i)
(((q|i)>~(w))>z)
0
1
0
0
not entailment
~(h)
((h&(z&g))>(~(z)|q))
1
0
0
0
entailment
~(((d|w)|~(((~(v)|~((g>(v|i))))&x))))
(v>(q|(~((h|h))>~(d))))
1
1
0
0
entailment
~(h)
(v>(q|(~((h|h))>~(d))))
0
0
0
0
not entailment
~(((d|w)|~(((~(v)|~((g>(v|i))))&x))))
((h&(z&g))>(~(z)|q))
0
1
0
0
not entailment
(x&(q|((~(h)|z)&h)))
(x|z)
1
1
1
1
entailment
~(~(~(~(~(((h>z)>(v|(h|v))))))))
(x>((h&(~(w)|x))>w))
1
1
0
0
entailment
(x&(q|((~(h)|z)&h)))
(x>((h&(~(w)|x))>w))
0
1
0
0
not entailment
~(~(~(~(~(((h>z)>(v|(h|v))))))))
(x|z)
0
1
0
0
not entailment
~(((v&q)|(g|~(~(x)))))
((q&((g|z)&v))>~(~(~((x&~(d))))))
1
0
0
0
entailment
~(((((~(~(v))|z)&~(q))>~(g))>z))
((~(x)>~(q))>~(z))
1
1
0
0
entailment
~(((v&q)|(g|~(~(x)))))
((~(x)>~(q))>~(z))
0
1
0
0
not entailment
~(((((~(~(v))|z)&~(q))>~(g))>z))
((q&((g|z)&v))>~(~(~((x&~(d))))))
0
1
0
0
not entailment
((x|(q&v))&~(z))
((((z>x)>h)&g)>(q|h))
1
0
0
0
entailment
~(((((w&h)>((i|g)|i))&d)>((x>z)&~(z))))
(~(d)>(((~((q|v))&h)&x)&(q|g)))
1
1
0
0
entailment
((x|(q&v))&~(z))
(~(d)>(((~((q|v))&h)&x)&(q|g)))
0
0
0
0
not entailment
~(((((w&h)>((i|g)|i))&d)>((x>z)&~(z))))
((((z>x)>h)&g)>(q|h))
0
1
0
0
not entailment
((((w&v)&~((d&h)))|w)&(d&~(~(g))))
(~(d)|w)
1
1
1
1
entailment
~((g>v))
(((v|h)|v)>h)
1
0
0
0
entailment
((((w&v)&~((d&h)))|w)&(d&~(~(g))))
(((v|h)|v)>h)
0
1
1
0
not entailment
~((g>v))
(~(d)|w)
0
1
0
0
not entailment
(((d|~(d))&z)&(~((q>i))&((g&q)&(g|h))))
((((v&~((w>z)))|g)|(z&~((g|x))))>g)
1
1
0
0
entailment
((~(q)&((x|q)&((d>g)|x)))&v)
((q|q)>((x>h)|h))
1
1
0
0
entailment
(((d|~(d))&z)&(~((q>i))&((g&q)&(g|h))))
((q|q)>((x>h)|h))
0
1
0
0
not entailment
((~(q)&((x|q)&((d>g)|x)))&v)
((((v&~((w>z)))|g)|(z&~((g|x))))>g)
0
0
0
0
not entailment
((d&i)&(q>(i|v)))
((w|~(w))&i)
1
1
0
0
entailment
~((~(((x>q)|(g&g)))>q))
~(g)
1
1
1
1
entailment
((d&i)&(q>(i|v)))
~(g)
0
1
0
0
not entailment
~((~(((x>q)|(g&g)))>q))
((w|~(w))&i)
0
1
0
0
not entailment
~(((~(d)>~(h))|~((z&~(x)))))
((x&i)>(~((z|(v>g)))>((i&~((v&v)))|h)))
1
0
0
0
entailment
(~((x&z))&x)
((i|~(i))&(~((i|i))>((h>x)|q)))
1
0
0
0
entailment
~(((~(d)>~(h))|~((z&~(x)))))
((i|~(i))&(~((i|i))>((h>x)|q)))
0
1
0
0
not entailment
(~((x&z))&x)
((x&i)>(~((z|(v>g)))>((i&~((v&v)))|h)))
0
0
0
0
not entailment
~(~(~(((w|h)>(((z|~(v))&g)>w)))))
((v&h)>(q>(h>(w|g))))
1
1
0
0
entailment
~(~(((~((v>g))&x)&(q|x))))
(x|((h&z)>i))
1
1
0
0
entailment
~(~(~(((w|h)>(((z|~(v))&g)>w)))))
(x|((h&z)>i))
0
1
0
0
not entailment
~(~(((~((v>g))&x)&(q|x))))
((v&h)>(q>(h>(w|g))))
0
1
0
0
not entailment
((i>((~(r)|i)>x))&((q|(q&q))&(i|r)))
(((x|q)&x)|q)
1
1
1
1
entailment
(i&r)
~(~((~(r)|(((r>i)&i)&(x|i)))))
1
0
0
0
entailment
((i>((~(r)|i)>x))&((q|(q&q))&(i|r)))
~(~((~(r)|(((r>i)&i)&(x|i)))))
0
1
1
0
not entailment
(i&r)
(((x|q)&x)|q)
0
0
0
0
not entailment
((x>(i>i))>q)
((~(~(((i>q)>q)))|x)|(i&r))
1
0
0
0
entailment
~((~(~(r))>(x|i)))
(~((q&~((q&q))))&r)
1
1
0
0
entailment
((x>(i>i))>q)
(~((q&~((q&q))))&r)
0
0
0
0
not entailment
~((~(~(r))>(x|i)))
((~(~(((i>q)>q)))|x)|(i&r))
0
0
0
0
not entailment
(i&x)
(((q|x)|~(r))|~(((r|(x&i))>((i&x)|i))))
1
0
0
0
entailment
~(~(((i>q)>~(((i>q)>(~(i)|q))))))
((i&(x&x))>~(q))
1
1
0
0
entailment
(i&x)
((i&(x&x))>~(q))
0
0
0
0
not entailment
~(~(((i>q)>~(((i>q)>(~(i)|q))))))
(((q|x)|~(r))|~(((r|(x&i))>((i&x)|i))))
0
0
0
0
not entailment
(((((~(r)&x)|(x|~(r)))|r)&(r>x))&(q&x))
(q|~(r))
1
1
1
1
entailment
(r&i)
((x>i)&((i>i)|((((x&(r>i))>q)&x)&i)))
1
0
0
0
entailment
(((((~(r)&x)|(x|~(r)))|r)&(r>x))&(q&x))
((x>i)&((i>i)|((((x&(r>i))>q)&x)&i)))
0
1
0
0
not entailment
(r&i)
(q|~(r))
0
0
0
0
not entailment
(~((~(q)>x))&((~(x)&i)&~(~((i|i)))))
((q>i)>(q>((q&x)|x)))
1
1
1
0
entailment
(q&q)
(q|x)
1
1
0
0
entailment
(~((~(q)>x))&((~(x)&i)&~(~((i|i)))))
(q|x)
0
1
1
0
not entailment
(q&q)
((q>i)>(q>((q&x)|x)))
0
0
0
0
not entailment
~((x>((i&i)|((q&(i>x))|r))))
~(((i>r)>i))
1
1
1
0
entailment
(((r&i)|(q>~(i)))&(q&x))
(~(~((i|q)))&(r|~(r)))
1
1
1
0
entailment
~((x>((i&i)|((q&(i>x))|r))))
(~(~((i|q)))&(r|~(r)))
0
1
1
0
not entailment
(((r&i)|(q>~(i)))&(q&x))
~(((i>r)>i))
0
1
1
1
not entailment
(x&(~((r|q))>~(((~(i)>(r&r))&(q|x)))))
~(~((i|x)))
1
1
1
0
entailment
((q|q)&~((q&r)))
~(((((x&~((i&x)))|x)|(i>q))>(x&(r&i))))
1
0
0
0
entailment
(x&(~((r|q))>~(((~(i)>(r&r))&(q|x)))))
~(((((x&~((i&x)))|x)|(i>q))>(x&(r&i))))
0
1
1
1
not entailment
((q|q)&~((q&r)))
~(~((i|x)))
0
1
0
0
not entailment
~(((r|r)|(q|(i&i))))
~(q)
1
1
1
1
entailment
((i>i)&q)
(((q>(x&r))>(((x>x)>q)|r))&((i&x)>x))
1
0
0
0
entailment
~(((r|r)|(q|(i&i))))
(((q>(x&r))>(((x>x)>q)|r))&((i&x)>x))
0
0
0
0
not entailment
((i>i)&q)
~(q)
0
1
1
0
not entailment
(i&q)
((r>(q&q))|i)
1
0
0
0
entailment
(~(~(~(~(r))))&~(x))
~((((i>r)&x)&(q|~(~(((q>q)>i))))))
1
0
0
0
entailment
(i&q)
~((((i>r)&x)&(q|~(~(((q>q)>i))))))
0
0
0
0
not entailment
(~(~(~(~(r))))&~(x))
((r>(q&q))|i)
0
1
0
0
not entailment
(i>(r&x))
((i|i)>((i|x)&x))
1
0
1
0
entailment
(((x|(i>((x&i)>r)))|q)>r)
((~(r)>x)&(~((i|i))>(i>(x|x))))
1
0
1
0
entailment
(i>(r&x))
((~(r)>x)&(~((i|i))>(i>(x|x))))
0
0
1
0
not entailment