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