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
((z>(u|((s>(f>~(o)))&i)))&(d&(u&i)))
(((g|f)>d)|d)
1
1
0
0
entailment
~((~(j)|s))
(s>(((((j>g)|u)&(i|(d|i)))>~((d&d)))&z))
1
0
0
0
entailment
((z>(u|((s>(f>~(o)))&i)))&(d&(u&i)))
(s>(((((j>g)|u)&(i|(d|i)))>~((d&d)))&z))
0
0
0
0
not entailment
~((~(j)|s))
(((g|f)>d)|d)
0
1
0
0
not entailment
(i&(s&f))
((d|(~(h)|d))|i)
1
0
0
0
entailment
((g>u)&~((u>f)))
((j&d)|(~(((z>~((z&j)))|g))|(~(u)>d)))
1
0
0
0
entailment
(i&(s&f))
((j&d)|(~(((z>~((z&j)))|g))|(~(u)>d)))
0
0
0
0
not entailment
((g>u)&~((u>f)))
((d|(~(h)|d))|i)
0
1
0
0
not entailment
~(((z&(o|j))>~((~(o)&~(~((f&d)))))))
((o|~((((s>j)|j)|o)))>~(~((d>(u|s)))))
1
1
0
0
entailment
~((~(((j|g)&g))|j))
(~(u)>g)
1
1
0
0
entailment
~(((z&(o|j))>~((~(o)&~(~((f&d)))))))
(~(u)>g)
0
1
0
0
not entailment
~((~(((j|g)&g))|j))
((o|~((((s>j)|j)|o)))>~(~((d>(u|s)))))
0
0
0
0
not entailment
((u&o)&(~(~(d))|f))
(~(o)>((o|~((f>i)))|g))
1
0
0
0
entailment
(~((z|o))&~((z|d)))
~(d)
1
1
1
1
entailment
((u&o)&(~(~(d))|f))
~(d)
0
1
1
0
not entailment
(~((z|o))&~((z|d)))
(~(o)>((o|~((f>i)))|g))
0
0
0
0
not entailment
(~(((h|h)&(h&(w|~((j|~(j)))))))&(j&d))
(~((((j|j)|d)>~(d)))&(j&j))
1
1
1
1
entailment
(d&w)
(w|(d>h))
1
0
0
0
entailment
(~(((h|h)&(h&(w|~((j|~(j)))))))&(j&d))
(w|(d>h))
0
1
1
0
not entailment
(d&w)
(~((((j|j)|d)>~(d)))&(j&j))
0
0
0
0
not entailment
(((~((j|d))|d)>(j&h))&(j|h))
(~((((w&h)|d)>j))>~(d))
1
1
0
0
entailment
(~((h&d))&d)
(~(~((~(w)|d)))>~((~((d|d))&(j&h))))
1
0
0
0
entailment
(((~((j|d))|d)>(j&h))&(j|h))
(~(~((~(w)|d)))>~((~((d|d))&(j&h))))
0
0
0
0
not entailment
(~((h&d))&d)
(~((((w&h)|d)>j))>~(d))
0
0
0
0
not entailment
~((((w>w)&(j>h))>h))
~(h)
1
1
1
1
entailment
(d&(d>(w>h)))
((d|w)|(d|j))
1
1
0
0
entailment
~((((w>w)&(j>h))>h))
((d|w)|(d|j))
0
1
0
0
not entailment
(d&(d>(w>h)))
~(h)
0
1
1
0
not entailment
~(((j|j)&~(((h&(w>j))&h))))
((((h>j)>w)&h)|(j>h))
1
1
1
0
entailment
~(~((~(~((h|j)))&(w&((h|d)|w)))))
(w|((h|(w&~(h)))&~(j)))
1
1
1
0
entailment
~(((j|j)&~(((h&(w>j))&h))))
(w|((h|(w&~(h)))&~(j)))
0
1
1
0
not entailment
~(~((~(~((h|j)))&(w&((h|d)|w)))))
((((h>j)>w)&h)|(j>h))
0
1
1
0
not entailment
~(~(w))
(((j>w)|h)|(~(~(~(d)))>(w|d)))
1
0
0
0
entailment
((w&d)|j)
(d|(~(((w&w)>d))>((w&j)|h)))
1
0
0
0
entailment
~(~(w))
(d|(~(((w&w)>d))>((w&j)|h)))
0
0
0
0
not entailment
((w&d)|j)
(((j>w)|h)|(~(~(~(d)))>(w|d)))
0
0
0
0
not entailment
~(((d>((w|d)&d))>~(h)))
~(~(~(((d>h)>~((d|h))))))
1
0
1
1
entailment
(w&(~((w|d))>h))
((d&j)>w)
1
1
0
0
entailment
~(((d>((w|d)&d))>~(h)))
((d&j)>w)
0
1
0
0
not entailment
(w&(~((w|d))>h))
~(~(~(((d>h)>~((d|h))))))
0
0
1
0
not entailment
~(((w&j)>h))
(((j>j)>(w>w))&(h>(w|(j>~(j)))))
1
0
1
0
entailment
(j&d)
(((w&w)|w)>d)
1
0
0
0
entailment
~(((w&j)>h))
(((w&w)|w)>d)
0
1
0
0
not entailment
(j&d)
(((j>j)>(w>w))&(h>(w|(j>~(j)))))
0
0
0
0
not entailment
(w&((w|h)>h))
(((j>~(h))&(((~(d)&~(~(h)))>d)>j))|h)
1
0
0
0
entailment
~(h)
(((d&((h|w)|(h|j)))>j)|((h&(d&d))>j))
1
0
0
0
entailment
(w&((w|h)>h))
(((d&((h|w)|(h|j)))>j)|((h&(d&d))>j))
0
0
0
0
not entailment
~(h)
(((j>~(h))&(((~(d)&~(~(h)))>d)>j))|h)
0
0
0
0
not entailment
~(((d&j)>(w>((w&h)|~((d|j))))))
((w|d)|~((d|j)))
1
1
1
0
entailment
(~(d)&(~((h|w))|j))
(~((d|(h&d)))|h)
1
1
1
0
entailment
~(((d&j)>(w>((w&h)|~((d|j))))))
(~((d|(h&d)))|h)
0
1
1
0
not entailment
(~(d)&(~((h|w))|j))
((w|d)|~((d|j)))
0
1
1
0
not entailment
((d>(h&j))|(~(~(j))&h))
(~(~(~((w&(h&d)))))>(d>j))
1
0
0
0
entailment
((j|w)>(((j>((d|h)|(h>w)))>d)&~(~(w))))
(d|(j|(h>(h>(w>j)))))
1
1
1
1
entailment
((d>(h&j))|(~(~(j))&h))
(d|(j|(h>(h>(w>j)))))
0
1
0
0
not entailment
((j|w)>(((j>((d|h)|(h>w)))>d)&~(~(w))))
(~(~(~((w&(h&d)))))>(d>j))
0
1
1
1
not entailment
((~(~(w))>(j>(d&(w>h))))>(j&d))
((h&~((d&d)))>j)
1
1
1
1
entailment
(h|(w&((j|w)&h)))
((w|h)|h)
1
1
1
1
entailment
((~(~(w))>(j>(d&(w>h))))>(j&d))
((w|h)|h)
0
1
1
0
not entailment
(h|(w&((j|w)&h)))
((h&~((d&d)))>j)
0
1
0
0
not entailment
((w|(j>w))&(~(w)&~(h)))
(w|(h>j))
1
1
1
0
entailment
(~(d)|(~(d)|w))
(~((d>(j|w)))>(w|w))
1
0
0
0
entailment
((w|(j>w))&(~(w)&~(h)))
(~((d>(j|w)))>(w|w))
0
1
0
0
not entailment
(~(d)|(~(d)|w))
(w|(h>j))
0
1
0
0
not entailment
((j&w)&j)
(((~(h)|j)>j)>((j&d)|j))
1
0
0
0
entailment
(((~((w&(w>h)))&d)&d)|((~(j)>h)&d))
(~(h)|d)
1
1
1
1
entailment
((j&w)&j)
(~(h)|d)
0
1
0
0
not entailment
(((~((w&(w>h)))&d)&d)|((~(j)>h)&d))
(((~(h)|j)>j)>((j&d)|j))
0
1
1
0
not entailment
~((w>(~(h)>((h|j)|(j&d)))))
(((w>h)>j)&((~(h)&~((d>j)))>d))
1
0
1
0
entailment
~(((((h>~(j))|h)>(h|d))|~(((j>w)|d))))
(((w&d)&d)>h)
1
1
1
0
entailment
~((w>(~(h)>((h|j)|(j&d)))))
(((w&d)&d)>h)
0
1
1
0
not entailment
~(((((h>~(j))|h)>(h|d))|~(((j>w)|d))))
(((w>h)>j)&((~(h)&~((d>j)))>d))
0
1
1
0
not entailment
((w|w)&h)
(d|(j|w))
1
1
0
0
entailment
~(((((j>j)|h)>(d|w))&(((h>w)|j)|w)))
(w>(d&w))
1
1
1
0
entailment
((w|w)&h)
(w>(d&w))
0
1
0
0
not entailment
~(((((j>j)|h)>(d|w))&(((h>w)|j)|w)))
(d|(j|w))
0
1
1
0
not entailment
(f&q)
~(~(((z&~(~(k)))|~(~(f)))))
1
0
0
0
entailment
~(j)
~(((q&j)&~(~(p))))
1
0
0
0
entailment
(f&q)
~(((q&j)&~(~(p))))
0
0
0
0
not entailment
~(j)
~(~(((z&~(~(k)))|~(~(f)))))
0
0
0
0
not entailment
~(((~(z)|(f>j))|(j&j)))
((z|(~(f)&y))|z)
1
1
0
0
entailment
~((((j|j)|f)>((z|p)|(f>j))))
~(((((~(j)&p)>j)>(p&p))&(v>z)))
1
0
0
0
entailment
~(((~(z)|(f>j))|(j&j)))
~(((((~(j)&p)>j)>(p&p))&(v>z)))
0
0
0
0
not entailment
~((((j|j)|f)>((z|p)|(f>j))))
((z|(~(f)&y))|z)
0
1
0
0
not entailment
((f&(v>f))&~(v))
(z|(~(f)>(y>q)))
1
1
0
0
entailment
~((~(~((q&y)))|k))
((p>y)>~(k))
1
1
0
0
entailment
((f&(v>f))&~(v))
((p>y)>~(k))
0
1
0
0
not entailment
~((~(~((q&y)))|k))
(z|(~(f)>(y>q)))
0
1
0
0
not entailment
(p|(p&f))
(((p&v)&~((j|k)))|(~(v)>p))
1
0
0
0
entailment
~((((f&z)&(y|q))>((j&(p>(v>q)))&q)))
(((v|y)&(~((f&z))&y))>~(~(~((k>v)))))
1
0
0
0
entailment
(p|(p&f))
(((v|y)&(~((f&z))&y))>~(~(~((k>v)))))
0
0
0
0
not entailment
~((((f&z)&(y|q))>((j&(p>(v>q)))&q)))
(((p&v)&~((j|k)))|(~(v)>p))
0
1
0
0
not entailment
~((~(((k>(z>z))&(f&p)))|~(f)))
((y|(p|f))|(q>v))
1
1
0
0
entailment
~(((f|(~((y>(v>z)))&(f>f)))|j))
(~(j)|k)
1
1
0
0
entailment
~((~(((k>(z>z))&(f&p)))|~(f)))
(~(j)|k)
0
1
0
0
not entailment
~(((f|(~((y>(v>z)))&(f>f)))|j))
((y|(p|f))|(q>v))
0
1
0
0
not entailment
((z&(p&f))&((q&(j&f))|j))
~(~((j|(~(q)&((p>y)&(q>(v>f)))))))
1
0
0
0
entailment
(v&y)
((q>(z|k))>y)
1
0
0
0
entailment
((z&(p&f))&((q&(j&f))|j))
((q>(z|k))>y)
0
1
0
0
not entailment
(v&y)
~(~((j|(~(q)&((p>y)&(q>(v>f)))))))
0
0
0
0
not entailment