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
~(~(~(((f|y)>x))))
(((o|o)&(x&y))|a)
0
1
0
0
not entailment
(~((j|((o&~(r))>j)))&(f&o))
((r&x)>((f&x)&~(y)))
1
1
0
0
entailment
~(((~(a)>((f|(a&~(j)))|a))>~((r&j))))
(y|((y>(j|f))&((y>j)>j)))
1
1
0
0
entailment
(~((j|((o&~(r))>j)))&(f&o))
(y|((y>(j|f))&((y>j)>j)))
0
1
0
0
not entailment
~(((~(a)>((f|(a&~(j)))|a))>~((r&j))))
((r&x)>((f&x)&~(y)))
0
1
0
0
not entailment
~(((f|a)|((y&(r|(o|a)))>(r|f))))
~(((~(~(j))&o)&f))
1
1
0
0
entailment
(~((f>x))&(r|(a&(r>r))))
(((f|f)|o)>~(x))
1
1
0
0
entailment
~(((f|a)|((y&(r|(o|a)))>(r|f))))
(((f|f)|o)>~(x))
0
1
0
0
not entailment
(~((f>x))&(r|(a&(r>r))))
~(((~(~(j))&o)&f))
0
1
0
0
not entailment
((~(x)|~((j|y)))&y)
~((~((a>r))&(((a|o)>a)&(y>r))))
1
0
0
0
entailment
((((y|x)&j)&f)&((~(x)&j)>((r|a)|j)))
((y>o)|((f|a)|~(~(j))))
1
1
0
0
entailment
((~(x)|~((j|y)))&y)
((y>o)|((f|a)|~(~(j))))
0
0
0
0
not entailment
((((y|x)&j)&f)&((~(x)&j)>((r|a)|j)))
~((~((a>r))&(((a|o)>a)&(y>r))))
0
1
0
0
not entailment
((~(~(r))&(r&(o>y)))&~((a>y)))
((((f>r)&(a>y))&r)>x)
1
1
0
0
entailment
~(((o|(x>x))&x))
(x>j)
1
1
0
0
entailment
((~(~(r))&(r&(o>y)))&~((a>y)))
(x>j)
0
1
0
0
not entailment
~(((o|(x>x))&x))
((((f>r)&(a>y))&r)>x)
0
0
0
0
not entailment
(j&~(~((~(r)|(y|f)))))
(r|((a>x)|j))
1
1
0
0
entailment
(~(((o|y)&f))&((o|r)|f))
(~((r&o))|~(((r|(f>y))>(a&f))))
1
0
0
0
entailment
(j&~(~((~(r)|(y|f)))))
(~((r&o))|~(((r|(f>y))>(a&f))))
0
0
0
0
not entailment
(~(((o|y)&f))&((o|r)|f))
(r|((a>x)|j))
0
1
0
0
not entailment
(x|x)
((~(f)|x)|~(((x&y)>o)))
1
0
0
0
entailment
(((r>f)|a)&y)
((~(r)|(j&(f&f)))>((y|a)|r))
1
0
0
0
entailment
(x|x)
((~(r)|(j&(f&f)))>((y|a)|r))
0
0
0
0
not entailment
(((r>f)|a)&y)
((~(f)|x)|~(((x&y)>o)))
0
0
0
0
not entailment
(j&r)
(((y&r)>f)>(((a>x)|r)|r))
1
0
0
0
entailment
(~((~(o)>j))&f)
((j>o)|(((j>y)&j)&(~((a|(y|f)))|o)))
1
0
0
0
entailment
(j&r)
((j>o)|(((j>y)&j)&(~((a|(y|f)))|o)))
0
0
0
0
not entailment
(~((~(o)>j))&f)
(((y&r)>f)>(((a>x)|r)|r))
0
0
0
0
not entailment
~((((a|o)>~(o))>(r>o)))
(x|r)
1
1
0
0
entailment
~((a>r))
~((~(a)&(((y&j)|o)|j)))
1
0
0
0
entailment
~((((a|o)>~(o))>(r>o)))
~((~(a)&(((y&j)|o)|j)))
0
1
0
0
not entailment
~((a>r))
(x|r)
0
1
0
0
not entailment
~((((f|a)>((o|o)>(f&a)))>((a|j)|y)))
(a|(y>a))
1
1
1
1
entailment
((f>f)>(y&((x&f)&o)))
(y|a)
1
1
0
0
entailment
~((((f|a)>((o|o)>(f&a)))>((a|j)|y)))
(y|a)
0
1
1
0
not entailment
((f>f)>(y&((x&f)&o)))
(a|(y>a))
0
1
0
0
not entailment
(j&x)
(r|(j&(r>j)))
1
0
0
0
entailment
((f|~((j&(j>(j&(r>j))))))&~((f|(o>j))))
((~((f>(r&(r|r))))&f)>(o>(a|y)))
1
1
0
0
entailment
(j&x)
((~((f>(r&(r|r))))&f)>(o>(a|y)))
0
0
0
0
not entailment
((f|~((j&(j>(j&(r>j))))))&~((f|(o>j))))
(r|(j&(r>j)))
0
1
1
0
not entailment
((((i&(w&w))>(i>w))&i)|i)
(~((((w>w)>i)>i))|((w>w)>(w|~((i>w)))))
1
0
1
1
entailment
~(((w|~(o))&(o>i)))
((~((i&(~(i)>i)))|((i&o)&w))|o)
1
0
1
0
entailment
((((i&(w&w))>(i>w))&i)|i)
((~((i&(~(i)>i)))|((i&o)&w))|o)
0
0
0
0
not entailment
~(((w|~(o))&(o>i)))
(~((((w>w)>i)>i))|((w>w)>(w|~((i>w)))))
0
0
1
0
not entailment
(((w>~(o))&(((i&i)>((i|o)&i))>~(i)))&w)
(o|~(i))
1
1
1
0
entailment
(i&~(w))
(i&i)
1
1
1
1
entailment
(((w>~(o))&(((i&i)>((i|o)&i))>~(i)))&w)
(i&i)
0
1
1
1
not entailment
(i&~(w))
(o|~(i))
0
1
0
0
not entailment
(i&~((o>(((o>i)>o)>w))))
((o>o)&(~((i|~(o)))|o))
1
1
1
0
entailment
(~((i&((o|w)>o)))&w)
(i>~(o))
1
1
1
1
entailment
(i&~((o>(((o>i)>o)>w))))
(i>~(o))
0
1
1
0
not entailment
(~((i&((o|w)>o)))&w)
((o>o)&(~((i|~(o)))|o))
0
0
1
1
not entailment
~((o|(w&w)))
~((i&((i>w)&o)))
1
0
0
0
entailment
(w&((w&~(~((w>o))))&(o>i)))
(((o|w)|o)|(i>~((i|i))))
1
1
1
0
entailment
~((o|(w&w)))
(((o|w)|o)|(i>~((i|i))))
0
0
0
0
not entailment
(w&((w&~(~((w>o))))&(o>i)))
~((i&((i>w)&o)))
0
1
1
0
not entailment
((((w|i)>o)|((i&o)|o))&~(o))
((w>~(((w>i)&(i>w))))&~((w&o)))
1
0
1
0
entailment
((o&i)&o)
(((i>i)>w)|(i&o))
1
0
0
0
entailment
((((w|i)>o)|((i&o)|o))&~(o))
(((i>i)>w)|(i&o))
0
1
1
0
not entailment
((o&i)&o)
((w>~(((w>i)&(i>w))))&~((w&o)))
0
0
0
0
not entailment
((((i&i)>o)&(o&i))|~((w|w)))
((o>i)|((w|w)>~(~((o>~(w))))))
1
0
1
0
entailment
(((i>w)|(~(o)>~(w)))&o)
(w|(i|o))
1
1
1
0
entailment
((((i&i)>o)&(o&i))|~((w|w)))
(w|(i|o))
0
1
1
0
not entailment
(((i>w)|(~(o)>~(w)))&o)
((o>i)|((w|w)>~(~((o>~(w))))))
0
0
1
0
not entailment
~(((w&i)|~((w>~(w)))))
(w>(((w|o)&w)&(o|~(~((o&i))))))
1
0
0
0
entailment
((~(((w&i)|(w|w)))>(w|w))&~(~(~(i))))
(~(i)|o)
1
1
0
0
entailment
~(((w&i)|~((w>~(w)))))
(~(i)|o)
0
1
0
0
not entailment
((~(((w&i)|(w|w)))>(w|w))&~(~(~(i))))
(w>(((w|o)&w)&(o|~(~((o&i))))))
0
1
0
0
not entailment
~(((i&(((i|i)>i)|(o|o)))|~(~(w))))
(((w|i)>o)&(i>(i&i)))
1
1
1
0
entailment
((~(o)>i)&~(~((w|w))))
((~((o>w))>i)|((w|~((o>i)))>w))
1
0
1
0
entailment
~(((i&(((i|i)>i)|(o|o)))|~(~(w))))
((~((o>w))>i)|((w|~((o>i)))>w))
0
1
1
0
not entailment
((~(o)>i)&~(~((w|w))))
(((w|i)>o)&(i>(i&i)))
0
1
1
0
not entailment
((~(~((w|o)))>(i|o))|(o&i))
((~((~(o)&w))|i)|o)
1
1
1
1
entailment
(~((~(i)&(w>o)))&(w|(o&w)))
(((i|(o|w))|i)|(o&(o&o)))
1
1
1
1
entailment
((~(~((w|o)))>(i|o))|(o&i))
(((i|(o|w))|i)|(o&(o&o)))
0
1
1
0
not entailment
(~((~(i)&(w>o)))&(w|(o&w)))
((~((~(o)&w))|i)|o)
0
1
1
0
not entailment
((~(((i&(w>o))>w))&o)&~(~(i)))
(((i&i)>(~(o)>(o>o)))>o)
1
1
1
0
entailment
(~((o&(i|i)))&i)
((~(o)&i)|~(i))
1
1
1
1
entailment
((~(((i&(w>o))>w))&o)&~(~(i)))
((~(o)&i)|~(i))
0
1
1
0
not entailment
(~((o&(i|i)))&i)
(((i&i)>(~(o)>(o>o)))>o)
0
0
1
0
not entailment
((~(~(w))|w)&i)
(~(~(i))|i)
1
1
1
1
entailment
(~(i)&(((i>o)>(o>w))>i))
((i>~((o>~(~((~(~(o))&w))))))&o)
1
0
1
0
entailment
((~(~(w))|w)&i)
((i>~((o>~(~((~(~(o))&w))))))&o)
0
0
0
0
not entailment
(~(i)&(((i>o)>(o>w))>i))
(~(~(i))|i)
0
1
1
1
not entailment
(i&o)
~(~((w>(((w>(o&~((i&i))))&o)>(i|i)))))
1
0
0
0
entailment
(~(i)|(((w>i)>(((w|i)|o)&(i>o)))&~(w)))
~((((w&i)&(o&(o&w)))&i))
1
1
1
0
entailment
(i&o)
~((((w&i)&(o&(o&w)))&i))
0
0
0
0
not entailment
(~(i)|(((w>i)>(((w|i)|o)&(i>o)))&~(w)))
~(~((w>(((w>(o&~((i&i))))&o)>(i|i)))))
0
1
1
0
not entailment
~((((i|(i>o))>i)>o))
((i&(o|o))>~((w|w)))
1
1
0
0
entailment
(((i&w)&(o&(w|i)))&(((o|w)&(o&o))>i))
(o|o)
1
1
1
1
entailment
~((((i|(i>o))>i)>o))
(o|o)
0
1
1
0
not entailment
(((i&w)&(o&(w|i)))&(((o|w)&(o&o))>i))
((i&(o|o))>~((w|w)))
0
1
1
0
not entailment
(~(w)&(~((~(w)|o))>~((w>o))))
((i|i)>~(w))
1
1
0
0
entailment
(~(~(~((~(((i>(w|o))|w))>(i>w)))))|w)
((o>i)|w)
1
1
1
1
entailment
(~(w)&(~((~(w)|o))>~((w>o))))
((o>i)|w)
0
1
0
0
not entailment
(~(~(~((~(((i>(w|o))|w))>(i>w)))))|w)
((i|i)>~(w))
0
1
1
0
not entailment
(h&(y|(y|(z>z))))
((~(((y>~(h))&z))|u)>h)
1
0
0
0
entailment
(((u|y)|y)&(y>(y&z)))
(~(y)>((y|u)|(((h|z)>(h>((u|z)&z)))|y)))
1
0
0
0
entailment
(h&(y|(y|(z>z))))
(~(y)>((y|u)|(((h|z)>(h>((u|z)&z)))|y)))
0
0
0
0
not entailment