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
(~(h)&(((z|k)|k)&u))
(((r>(y>g))>g)|y)
0
1
0
0
not entailment
((z>(h|((y&r)>m)))>g)
(((m&r)|(z&~(y)))|u)
0
1
0
0
not entailment
(((~((k>z))>(z>u))>k)&(m&r))
~(((z>((g|~(~(u)))&y))&~(((g>r)|r))))
1
0
0
0
entailment
~(((y|z)|(~(~(~((u|k))))&(z&(h>g)))))
((y>((r>u)&(h|y)))&(((z&k)|h)>(k>k)))
1
1
0
0
entailment
(((~((k>z))>(z>u))>k)&(m&r))
((y>((r>u)&(h|y)))&(((z&k)|h)>(k>k)))
0
0
0
0
not entailment
~(((y|z)|(~(~(~((u|k))))&(z&(h>g)))))
~(((z>((g|~(~(u)))&y))&~(((g>r)|r))))
0
1
0
0
not entailment
((h|z)&~((((u>z)|((g|g)&k))>(k|(m|u)))))
~((u&m))
1
1
1
1
entailment
~((((k&(((k|u)|r)|k))|~((h&g)))|r))
((~(~(r))&m)|g)
1
1
0
0
entailment
((h|z)&~((((u>z)|((g|g)&k))>(k|(m|u)))))
((~(~(r))&m)|g)
0
1
0
0
not entailment
~((((k&(((k|u)|r)|k))|~((h&g)))|r))
~((u&m))
0
1
0
0
not entailment
~(((k|y)>(~((u&r))|h)))
((h>h)>(~(~((h|(z|m))))|r))
1
0
0
0
entailment
(k|~((y|(u>r))))
((r>k)&((~(k)&z)>(u>(z>(r|(z|k))))))
1
0
0
0
entailment
~(((k|y)>(~((u&r))|h)))
((r>k)&((~(k)&z)>(u>(z>(r|(z|k))))))
0
0
0
0
not entailment
(k|~((y|(u>r))))
((h>h)>(~(~((h|(z|m))))|r))
0
0
0
0
not entailment
(((g&m)&(k>(r>r)))&~(((h|r)&((m|u)|k))))
~((((h|m)&r)|~(~(r))))
1
1
1
1
entailment
~(((m|(u>g))>~((m>z))))
(~(z)>((~(r)&(k&h))|~(m)))
1
0
0
0
entailment
(((g&m)&(k>(r>r)))&~(((h|r)&((m|u)|k))))
(~(z)>((~(r)&(k&h))|~(m)))
0
1
0
0
not entailment
~(((m|(u>g))>~((m>z))))
~((((h|m)&r)|~(~(r))))
0
1
0
0
not entailment
(((r&h)>(y>g))&((((y&y)|(m>g))|(k>y))>m))
(~((u>(~((u>m))&((k&y)|r))))|(u|(m|k)))
1
1
0
0
entailment
(z>k)
~(~((k|~(z))))
1
0
1
1
entailment
(((r&h)>(y>g))&((((y&y)|(m>g))|(k>y))>m))
~(~((k|~(z))))
0
1
0
0
not entailment
(z>k)
(~((u>(~((u>m))&((k&y)|r))))|(u|(m|k)))
0
0
0
0
not entailment
((m|~(((u>k)|u)))&(z>((r>k)>m)))
((m|(m>u))&(((~(g)>u)>(~(z)&~(m)))|m))
1
0
0
0
entailment
(y|((~(u)&~((g>g)))&z))
(g|(((~((u>h))&(k>u))&(u&r))|((h>h)&y)))
1
0
0
0
entailment
((m|~(((u>k)|u)))&(z>((r>k)>m)))
(g|(((~((u>h))&(k>u))&(u&r))|((h>h)&y)))
0
0
0
0
not entailment
(y|((~(u)&~((g>g)))&z))
((m|(m>u))&(((~(g)>u)>(~(z)&~(m)))|m))
0
0
0
0
not entailment
~(((m|(g&m))|((k>~((u|k)))|((g&k)&u))))
(((m|u)&g)>(~(u)>h))
1
1
0
0
entailment
(~((~(r)>~(~((y&u)))))&(m>(u>z)))
((z&r)>((y&y)&(h|h)))
1
1
0
0
entailment
~(((m|(g&m))|((k>~((u|k)))|((g&k)&u))))
((z&r)>((y&y)&(h|h)))
0
1
0
0
not entailment
(~((~(r)>~(~((y&u)))))&(m>(u>z)))
(((m|u)&g)>(~(u)>h))
0
1
0
0
not entailment
~((~((~(m)&(g|z)))>(g|(u>~(u)))))
(g>(~(((y>(r&k))&y))>k))
1
1
0
0
entailment
((~(((g>(u>h))|(r|m)))|((u|u)|z))&y)
((~((y&(h|(h&y))))&(k|u))>(r|y))
1
1
0
0
entailment
~((~((~(m)&(g|z)))>(g|(u>~(u)))))
((~((y&(h|(h&y))))&(k|u))>(r|y))
0
1
0
0
not entailment
((~(((g>(u>h))|(r|m)))|((u|u)|z))&y)
(g>(~(((y>(r&k))&y))>k))
0
1
0
0
not entailment
~(((i|p)>(~(i)|p)))
~(p)
1
1
1
1
entailment
(((i&~((p&i)))|p)&((p|(p|p))|p))
(~(i)|p)
1
1
1
1
entailment
~(((i|p)>(~(i)|p)))
(~(i)|p)
0
1
1
0
not entailment
(((i&~((p&i)))|p)&((p|(p|p))|p))
~(p)
0
1
1
1
not entailment
~((i>p))
(p>~(~((i&i))))
1
0
1
1
entailment
((p&p)|(p&p))
~(~(((((i|p)&p)&p)&((i&i)>p))))
1
0
0
0
entailment
~((i>p))
~(~(((((i|p)&p)&p)&((i&i)>p))))
0
0
1
0
not entailment
((p&p)|(p&p))
(p>~(~((i&i))))
0
0
0
0
not entailment
(((i&i)&(p|p))&p)
(i|(p&p))
1
1
1
1
entailment
~(p)
~((((p&i)|p)&i))
1
0
0
0
entailment
(((i&i)&(p|p))&p)
~((((p&i)|p)&i))
0
1
1
0
not entailment
~(p)
(i|(p&p))
0
0
0
0
not entailment
~(~(i))
(((i&(~(p)>i))>(p|~(p)))&(i|(~(p)|i)))
1
0
0
0
entailment
((~(p)>~(p))&~(((p|i)&i)))
(~((i&(i&i)))|(i&(i>p)))
1
1
1
0
entailment
~(~(i))
(~((i&(i&i)))|(i&(i>p)))
0
0
0
0
not entailment
((~(p)>~(p))&~(((p|i)&i)))
(((i&(~(p)>i))>(p|~(p)))&(i|(~(p)|i)))
0
0
1
0
not entailment
(~(((((p>i)>p)&((i|i)&(i|p)))|~(p)))&p)
(((((i&(i>p))>i)|i)&(p>(i|(i&i))))>i)
1
1
1
1
entailment
~(((i>i)>(~(i)>((p&i)|p))))
(((i>(((p|i)>~(p))|i))>(i&i))|~((i|p)))
1
0
1
0
entailment
(~(((((p>i)>p)&((i|i)&(i|p)))|~(p)))&p)
(((i>(((p|i)>~(p))|i))>(i&i))|~((i|p)))
0
1
1
1
not entailment
~(((i>i)>(~(i)>((p&i)|p))))
(((((i&(i>p))>i)|i)&(p>(i|(i&i))))>i)
0
0
1
0
not entailment
(i&(i|~(p)))
(~(i)>(i|~(((p>i)>i))))
1
0
1
0
entailment
~(i)
(i>~(p))
1
0
0
0
entailment
(i&(i|~(p)))
(i>~(p))
0
1
1
0
not entailment
~(i)
(~(i)>(i|~(((p>i)>i))))
0
0
0
0
not entailment
(~(~((i&i)))&i)
(i|i)
1
1
1
1
entailment
~(((p&(p|i))>i))
((p&i)|((p&(p>i))|(p|~(((i&(p>i))&i)))))
1
0
1
0
entailment
(~(~((i&i)))&i)
((p&i)|((p&(p>i))|(p|~(((i&(p>i))&i)))))
0
0
0
0
not entailment
~(((p&(p|i))>i))
(i|i)
0
1
1
1
not entailment
((i&((i|(i>~(i)))>p))&(~(p)|(i>p)))
((((p&(i>p))&i)|p)|p)
1
1
1
1
entailment
~(((p&(p&i))|(p|p)))
~((p|~((i>~((p&i))))))
1
0
1
1
entailment
((i&((i|(i>~(i)))>p))&(~(p)|(i>p)))
~((p|~((i>~((p&i))))))
0
1
1
1
not entailment
~(((p&(p&i))|(p|p)))
((((p&(i>p))&i)|p)|p)
0
1
1
0
not entailment
(i|(~(((p&i)&i))&p))
(i|p)
1
1
1
1
entailment
(~(~(~((i&((p|~(p))|(p>p))))))&~(p))
(((i&(i|p))|((i>i)|(p|p)))>~(i))
1
1
1
0
entailment
(i|(~(((p&i)&i))&p))
(((i&(i|p))|((i>i)|(p|p)))>~(i))
0
0
1
1
not entailment
(~(~(~((i&((p|~(p))|(p>p))))))&~(p))
(i|p)
0
1
1
0
not entailment
(i|i)
(((p>i)|p)>i)
1
0
0
0
entailment
(~(~(~(p)))&((p&p)>~((i&i))))
~(((i&(i>p))&(((i|p)&p)|(p|~(i)))))
1
0
1
0
entailment
(i|i)
~(((i&(i>p))&(((i|p)&p)|(p|~(i)))))
0
0
0
0
not entailment
(~(~(~(p)))&((p&p)>~((i&i))))
(((p>i)|p)>i)
0
1
1
0
not entailment
(((i&i)&((~(i)>(p>p))>p))&(((i|p)&p)&p))
(~(p)|i)
1
1
1
1
entailment
(p&~(((i&i)&p)))
~((~((~(~(i))|i))>i))
1
0
1
1
entailment
(((i&i)&((~(i)>(p>p))>p))&(((i|p)&p)&p))
~((~((~(~(i))|i))>i))
0
1
1
1
not entailment
(p&~(((i&i)&p)))
(~(p)|i)
0
1
1
0
not entailment
(a&((h|d)>((u&h)&(((a>x)|x)|d))))
(((b>x)&((d&~((a&b)))&u))>(u>a))
1
1
0
0
entailment
(~((~((h&b))|~(b)))&(~(a)|h))
(b&(h|((h>a)&((b|u)|d))))
1
1
0
0
entailment
(a&((h|d)>((u&h)&(((a>x)|x)|d))))
(b&(h|((h>a)&((b|u)|d))))
0
1
0
0
not entailment
(~((~((h&b))|~(b)))&(~(a)|h))
(((b>x)&((d&~((a&b)))&u))>(u>a))
0
1
0
0
not entailment
(d&((x|d)>(~(~((a|a)))>u)))
(~(((d|u)|a))>(x|((x&x)|(x&~(x)))))
1
0
1
0
entailment
~((d|(~(~(u))|((u>(x&x))>x))))
(u>~((d|d)))
1
1
1
1
entailment
(d&((x|d)>(~(~((a|a)))>u)))
(u>~((d|d)))
0
1
1
0
not entailment
~((d|(~(~(u))|((u>(x&x))>x))))
(~(((d|u)|a))>(x|((x&x)|(x&~(x)))))
0
0
0
0
not entailment
(a&(d&(((u>u)>b)>~((((a>~(x))>h)|x)))))
(d&d)
1
1
1
1
entailment
~((((u|(h&a))|a)|(d|u)))
(((d>d)>u)>~((h>b)))
1
1
0
0
entailment
(a&(d&(((u>u)>b)>~((((a>~(x))>h)|x)))))
(((d>d)>u)>~((h>b)))
0
1
1
0
not entailment
~((((u|(h&a))|a)|(d|u)))
(d&d)
0
1
1
0
not entailment
(b&(d|a))
(~((((b|x)|u)&(b|x)))|(h>~(~(b))))
1
0
0
0
entailment
(~((((a|b)|u)&x))>(~((b|u))&u))
~(~(((x>x)&(x|(b>a)))))
1
1
1
0
entailment
(b&(d|a))
~(~(((x>x)&(x|(b>a)))))
0
0
0
0
not entailment
(~((((a|b)|u)&x))>(~((b|u))&u))
(~((((b|x)|u)&(b|x)))|(h>~(~(b))))
0
0
0
0
not entailment
((((u>(a&x))|b)&~(x))&(a|d))
((((((b>h)>d)&b)|u)|(~(d)&(d>a)))|~(x))
1
0
0
0
entailment
~(h)
~(~((h>x)))
1
0
0
0
entailment
((((u>(a&x))|b)&~(x))&(a|d))
~(~((h>x)))
0
1
0
0
not entailment
~(h)
((((((b>h)>d)&b)|u)|(~(d)&(d>a)))|~(x))
0
0
0
0
not entailment
(b&d)
((((x>~((~((u&(h&d)))>x)))>h)>x)|d)
1
0
0
0
entailment
(((~(~((x|b)))>b)>h)&u)
(((h>h)|((h>u)|(((h&b)|(a>u))|u)))&(b>h))
1
0
0
0
entailment