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
(~(a)&s)
(~((a&a))|((i|a)>((x&t)|~(~(z)))))
1
0
0
0
entailment
(((z&t)|~(~(t)))&~(((x>i)>i)))
(~((a&a))|((i|a)>((x&t)|~(~(z)))))
0
0
0
0
not entailment
(~(a)&s)
((s&x)>~(~((i&(~(a)|((t&x)&x))))))
0
0
0
0
not entailment
(i&(t&z))
((w>z)|x)
1
1
0
0
entailment
(~(((s&w)>(~(w)&~(a))))&~((z&s)))
~((z&(~(x)>t)))
1
1
0
0
entailment
(i&(t&z))
~((z&(~(x)>t)))
0
0
0
0
not entailment
(~(((s&w)>(~(w)&~(a))))&~((z&s)))
((w>z)|x)
0
1
0
0
not entailment
~((~((~(~(x))|z))>t))
((z&(a&z))>~(~((t|(~(s)&(z&z))))))
1
0
0
0
entailment
~(~(((z&z)&~(((t&s)|(z>i))))))
(((w|z)|t)|a)
1
1
0
0
entailment
~((~((~(~(x))|z))>t))
(((w|z)|t)|a)
0
1
0
0
not entailment
~(~(((z&z)&~(((t&s)|(z>i))))))
((z&(a&z))>~(~((t|(~(s)&(z&z))))))
0
0
0
0
not entailment
~((((w&w)>(i&z))|x))
((a|(w|w))|~(((x&t)|((w&w)|((x>x)&a)))))
1
0
0
0
entailment
~((w|((s&z)|s)))
~(w)
1
1
1
1
entailment
~((((w&w)>(i&z))|x))
~(w)
0
1
1
0
not entailment
~((w|((s&z)|s)))
((a|(w|w))|~(((x&t)|((w&w)|((x>x)&a)))))
0
0
0
0
not entailment
~((~(~(i))|x))
~((i&(s>(x>a))))
1
1
0
0
entailment
((s&(x>w))&(x|(t|((w|~(i))&((i|s)>a)))))
(s|i)
1
1
1
0
entailment
~((~(~(i))|x))
(s|i)
0
1
0
0
not entailment
((s&(x>w))&(x|(t|((w|~(i))&((i|s)>a)))))
~((i&(s>(x>a))))
0
1
1
0
not entailment
(i&i)
(~(((z|~(s))>a))|(t>(((z>a)>i)|(x&z))))
1
0
0
0
entailment
(s&((i>(i|w))>(t>s)))
(((~(t)|~(z))&((i&s)|((x|i)|~(a))))|s)
1
0
0
0
entailment
(i&i)
(((~(t)|~(z))&((i&s)|((x|i)|~(a))))|s)
0
0
0
0
not entailment
(s&((i>(i|w))>(t>s)))
(~(((z|~(s))>a))|(t>(((z>a)>i)|(x&z))))
0
0
0
0
not entailment
~((~(z)|((~(~(z))&x)|~(i))))
(~((i>~((i|(s&t)))))&(((s&i)|a)|(a>z)))
1
0
0
0
entailment
(a&((((w|t)&w)|i)>t))
(~((a|w))>(w&((w|w)&s)))
1
0
0
0
entailment
~((~(z)|((~(~(z))&x)|~(i))))
(~((a|w))>(w&((w|w)&s)))
0
1
0
0
not entailment
(a&((((w|t)&w)|i)>t))
(~((i>~((i|(s&t)))))&(((s&i)|a)|(a>z)))
0
0
0
0
not entailment
(z&t)
((((x|x)|(w>i))|z)|((a>i)|s))
1
0
0
0
entailment
(((w|w)|(i>(a|s)))&(~((a>t))&w))
(w&((~((w>w))>(a&i))|(~(((z|w)>z))&x)))
1
0
0
0
entailment
(z&t)
(w&((~((w>w))>(a&i))|(~(((z|w)>z))&x)))
0
0
0
0
not entailment
(((w|w)|(i>(a|s)))&(~((a>t))&w))
((((x|x)|(w>i))|z)|((a>i)|s))
0
1
0
0
not entailment
((x|i)&z)
(((~(x)&((i|x)>i))>w)|i)
1
0
0
0
entailment
((((i&w)|s)&t)&~(z))
(~(~(((z>a)|(t|(i|s)))))|s)
1
0
0
0
entailment
((x|i)&z)
(~(~(((z>a)|(t|(i|s)))))|s)
0
0
0
0
not entailment
((((i&w)|s)&t)&~(z))
(((~(x)&((i|x)>i))>w)|i)
0
0
0
0
not entailment
~((~((((k&k)>(n&n))&(q|n)))|(q>n)))
(k>((~((((n|n)|~(~(q)))&q))|q)&q))
1
1
1
0
entailment
(k|(~(n)>n))
(~(~(((n>k)&q)))>(q>(q&k)))
1
0
0
0
entailment
~((~((((k&k)>(n&n))&(q|n)))|(q>n)))
(~(~(((n>k)&q)))>(q>(q&k)))
0
1
1
0
not entailment
(k|(~(n)>n))
(k>((~((((n|n)|~(~(q)))&q))|q)&q))
0
0
0
0
not entailment
((n>n)>(q&q))
((n>(((n&(k>q))&q)>q))&q)
1
0
0
0
entailment
(k&((q>~((~(q)&~(k))))|((n|n)|n)))
(q>(k|k))
1
1
1
1
entailment
((n>n)>(q&q))
(q>(k|k))
0
1
0
0
not entailment
(k&((q>~((~(q)&~(k))))|((n|n)|n)))
((n>(((n&(k>q))&q)>q))&q)
0
1
1
0
not entailment
(n&q)
(q&((q&n)|(n|k)))
1
0
0
0
entailment
(~(k)>(k&~(k)))
((k|k)&((k>q)>((q>q)|q)))
1
0
0
0
entailment
(n&q)
((k|k)&((k>q)>((q>q)|q)))
0
0
0
0
not entailment
(~(k)>(k&~(k)))
(q&((q&n)|(n|k)))
0
1
0
0
not entailment
(~(~(k))&~((n>q)))
(((n>k)&~((~((q|k))&k)))|~((k|q)))
1
0
1
0
entailment
(((n>k)&q)|q)
(q&((q>~(n))|(n>q)))
1
0
1
0
entailment
(~(~(k))&~((n>q)))
(q&((q>~(n))|(n>q)))
0
1
1
0
not entailment
(((n>k)&q)|q)
(((n>k)&~((~((q|k))&k)))|~((k|q)))
0
0
1
0
not entailment
(q&(k>n))
(q|n)
1
1
1
1
entailment
~(~(~((q&q))))
((n&k)|((q|q)>(q&k)))
1
0
0
0
entailment
(q&(k>n))
((n&k)|((q|q)>(q&k)))
0
0
1
0
not entailment
~(~(~((q&q))))
(q|n)
0
1
0
0
not entailment
~((((n|n)|(n&~((n&~(~(n))))))|k))
((((q|k)|(n&n))&(n|(k|q)))>q)
1
1
0
0
entailment
~(((k&k)>q))
(k|~((n>n)))
1
1
0
0
entailment
~((((n|n)|(n&~((n&~(~(n))))))|k))
(k|~((n>n)))
0
1
1
0
not entailment
~(((k&k)>q))
((((q|k)|(n&n))&(n|(k|q)))>q)
0
0
0
0
not entailment
((q>k)&k)
((k|n)&((((k|n)>((k>n)&q))&q)>n))
1
0
0
0
entailment
(((((n&q)|~(q))>n)>~(n))&q)
~(((n&(n>k))&~(q)))
1
1
0
0
entailment
((q>k)&k)
~(((n&(n>k))&~(q)))
0
0
0
0
not entailment
(((((n&q)|~(q))>n)>~(n))&q)
((k|n)&((((k|n)>((k>n)&q))&q)>n))
0
0
0
0
not entailment
(((q|~(((k>q)|~((k>(q>k))))))&n)&q)
(q|(((q|n)|(k|~(((q&q)>~(q)))))|k))
1
1
1
1
entailment
(~((n&n))|~((q|(~(q)>k))))
(~(~(~(k)))>(n>((q>~(q))&n)))
1
0
1
0
entailment
(((q|~(((k>q)|~((k>(q>k))))))&n)&q)
(~(~(~(k)))>(n>((q>~(q))&n)))
0
1
1
0
not entailment
(~((n&n))|~((q|(~(q)>k))))
(q|(((q|n)|(k|~(((q&q)>~(q)))))|k))
0
0
1
0
not entailment
(k|(~((q>((n|q)|(q&n))))&(n&~(n))))
(q|(q|(k|k)))
1
1
1
1
entailment
(((q|~((((q|k)|k)&q)))&n)&~(k))
((((n>k)>q)>(q>(n&((~(q)>~(k))&k))))>n)
1
0
1
0
entailment
(k|(~((q>((n|q)|(q&n))))&(n&~(n))))
((((n>k)>q)>(q>(n&((~(q)>~(k))&k))))>n)
0
0
1
0
not entailment
(((q|~((((q|k)|k)&q)))&n)&~(k))
(q|(q|(k|k)))
0
1
1
0
not entailment
((((n>k)|k)&(q&n))|(k&((q|q)&n)))
(n>q)
1
1
1
1
entailment
~(((q|k)&(k>k)))
~(((n&k)|k))
1
1
0
0
entailment
((((n>k)|k)&(q&n))|(k&((q|q)&n)))
~(((n&k)|k))
0
1
1
0
not entailment
~(((q|k)&(k>k)))
(n>q)
0
1
0
0
not entailment
(((q&q)&n)&(n>q))
(((k&~(((k|n)|n)))>((~(k)>q)&q))>n)
1
0
0
0
entailment
((k&(k|(k|q)))&q)
(q&(q>k))
1
1
1
0
entailment
(((q&q)&n)&(n>q))
(q&(q>k))
0
1
0
0
not entailment
((k&(k|(k|q)))&q)
(((k&~(((k|n)|n)))>((~(k)>q)&q))>n)
0
0
0
0
not entailment
(~((((q>n)&(q|k))>k))|((n|n)&(n>q)))
((n>n)&n)
1
1
1
1
entailment
(~(q)&(n>n))
~(q)
1
1
1
1
entailment
(~((((q>n)&(q|k))>k))|((n|n)&(n>q)))
~(q)
0
1
1
1
not entailment
(~(q)&(n>n))
((n>n)&n)
0
1
1
1
not entailment
~(((~((k|n))&k)|(((k>q)>(n|k))>n)))
(((((k|n)>(n&~(n)))&q)&q)|((~(q)&k)|k))
1
0
1
0
entailment
(n|~(~(n)))
((n&(n>n))|n)
1
1
1
0
entailment
~(((~((k|n))&k)|(((k>q)>(n|k))>n)))
((n&(n>n))|n)
0
1
1
1
not entailment
(n|~(~(n)))
(((((k|n)>(n&~(n)))&q)&q)|((~(q)&k)|k))
0
0
0
0
not entailment
(n|(n|~(q)))
((q>(q&(k&q)))>((n|(n|(q>n)))|n))
1
0
0
0
entailment
(~((((k|(k>q))&n)>q))>q)
(((k|(k&k))&((n>k)|(~(q)>q)))|((n|q)>q))
1
0
1
1
entailment
(n|(n|~(q)))
(((k|(k&k))&((n>k)|(~(q)>q)))|((n|q)>q))
0
0
0
0
not entailment
(~((((k|(k>q))&n)>q))>q)
((q>(q&(k&q)))>((n|(n|(q>n)))|n))
0
0
1
0
not entailment
((~((~(n)>q))&~(k))|n)
((((q&n)|k)|n)>n)
1
1
1
1
entailment
~((~(k)|(~(n)&(~((k|k))|~(q)))))
(n|q)
1
1
1
1
entailment
((~((~(n)>q))&~(k))|n)
(n|q)
0
1
1
0
not entailment
~((~(k)|(~(n)&(~((k|k))|~(q)))))
((((q&n)|k)|n)>n)
0
1
1
0
not entailment
((j>z)>~(((z&(g|k))>(z&z))))
(g>(~((g|j))|(~(j)>~((h|(g>h))))))
1
0
0
0
entailment
((k|k)&g)
(((z>(~((z&k))&k))&z)|~(~(g)))
1
0
0
0
entailment
((j>z)>~(((z&(g|k))>(z&z))))
(((z>(~((z&k))&k))&z)|~(~(g)))
0
0
1
0
not entailment
((k|k)&g)
(g>(~((g|j))|(~(j)>~((h|(g>h))))))
0
0
0
0
not entailment
~(~((~(((((z|j)&g)|j)&~(k)))|g)))
((((z|g)&j)&((z&k)|(z&(z|g))))>(g|k))
1
1
1
0
entailment