Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files 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
~(((e|e)>(e&~(~(p)))))
(~((~(d)&f))>((e|~(~(s)))|~(p)))
1
0
0
0
entailment
(d&(i|x))
(~(i)>x)
1
1
1
1
entailment
~(((e|e)>(e&~(~(p)))))
(~(i)>x)
0
1
0
0
not entailment
(d&(i|x))
(~((~(d)&f))>((e|~(~(s)))|~(p)))
0
0
0
0
not entailment
(p&(((o>d)&((d>x)>(i>e)))&o))
((e|f)|(d|(p&(s>e))))
1
1
0
0
entailment
(i&((d|i)&p))
(~(~(s))>~(~(i)))
1
0
0
0
entailment
(p&(((o>d)&((d>x)>(i>e)))&o))
(~(~(s))>~(~(i)))
0
1
0
0
not entailment
(i&((d|i)&p))
((e|f)|(d|(p&(s>e))))
0
0
0
0
not entailment
((d>s)>(d&m))
~(~((e|d)))
1
1
0
0
entailment
((f>p)>(e&f))
((o>s)|f)
1
1
0
0
entailment
((d>s)>(d&m))
((o>s)|f)
0
1
0
0
not entailment
((f>p)>(e&f))
~(~((e|d)))
0
1
0
0
not entailment
~(~(((((f&d)|(d&f))|m)&(f|s))))
~(~((~(~(m))|(~(~(f))&(f|~(o))))))
1
0
0
0
entailment
(s&(o&i))
(~(~((o|~(i))))|(~(((d|p)&i))>o))
1
0
0
0
entailment
~(~(((((f&d)|(d&f))|m)&(f|s))))
(~(~((o|~(i))))|(~(((d|p)&i))>o))
0
0
0
0
not entailment
(s&(o&i))
~(~((~(~(m))|(~(~(f))&(f|~(o))))))
0
0
0
0
not entailment
~((m>(~(m)&((m&x)|m))))
~(~((m|s)))
1
1
0
0
entailment
(~((f&((f&~((s>x)))|((o>o)|i))))&~(x))
(~((f>~((d|x))))>((p>~(~(x)))&~(x)))
1
1
0
0
entailment
~((m>(~(m)&((m&x)|m))))
(~((f>~((d|x))))>((p>~(~(x)))&~(x)))
0
0
0
0
not entailment
(~((f&((f&~((s>x)))|((o>o)|i))))&~(x))
~(~((m|s)))
0
1
0
0
not entailment
(((~(i)|i)|(d&(m>f)))&((d|f)&((m|d)&p)))
(((s>x)>(d|m))|(x&p))
1
1
0
0
entailment
(x&((i&o)|m))
((((p&x)>(e>p))&(o&p))|(x&x))
1
0
0
0
entailment
(((~(i)|i)|(d&(m>f)))&((d|f)&((m|d)&p)))
((((p&x)>(e>p))&(o&p))|(x&x))
0
1
0
0
not entailment
(x&((i&o)|m))
(((s>x)>(d|m))|(x&p))
0
0
0
0
not entailment
~(~(~((m>(i|(p|(e&o)))))))
((p>d)|i)
1
1
0
0
entailment
((e|e)&~(~((o&(e&p)))))
((x|s)|(((e|d)>x)>(((p&(o>d))&~(p))|e)))
1
0
0
0
entailment
~(~(~((m>(i|(p|(e&o)))))))
((x|s)|(((e|d)>x)>(((p&(o>d))&~(p))|e)))
0
0
0
0
not entailment
((e|e)&~(~((o&(e&p)))))
((p>d)|i)
0
1
0
0
not entailment
(~((p&o))&((f&((s>(e&i))>(d|(s&p))))&p))
(~((~(m)>~(((f|(f|(i>m)))|p))))|(o>x))
1
1
0
0
entailment
((f&(~(~(x))|~((x&f))))&(x|(i&s)))
~(~((s|(~(p)|x))))
1
1
0
0
entailment
(~((p&o))&((f&((s>(e&i))>(d|(s&p))))&p))
~(~((s|(~(p)|x))))
0
1
0
0
not entailment
((f&(~(~(x))|~((x&f))))&(x|(i&s)))
(~((~(m)>~(((f|(f|(i>m)))|p))))|(o>x))
0
0
0
0
not entailment
~((e>~(s)))
(s|(m>p))
1
1
0
0
entailment
~(~((x&(i&d))))
(d|((e&f)&i))
1
1
0
0
entailment
~((e>~(s)))
(d|((e&f)&i))
0
1
0
0
not entailment
~(~((x&(i&d))))
(s|(m>p))
0
1
0
0
not entailment
(((o>e)>(x>(e>o)))&o)
((((p>~(d))>f)>(o|i))|x)
1
0
0
0
entailment
~(o)
((~((i>~(p)))|s)>(o>s))
1
0
0
0
entailment
(((o>e)>(x>(e>o)))&o)
((~((i>~(p)))|s)>(o>s))
0
0
0
0
not entailment
~(o)
((((p>~(d))>f)>(o|i))|x)
0
0
0
0
not entailment
(p&~((x&x)))
(d|p)
1
1
0
0
entailment
(e&(~(p)|d))
~(~(~(~(((~(~(x))|o)|e)))))
1
0
0
0
entailment
(p&~((x&x)))
~(~(~(~(((~(~(x))|o)|e)))))
0
0
0
0
not entailment
(e&(~(p)|d))
(d|p)
0
1
1
0
not entailment
(((s>(~(f)|(x|f)))&~(x))&m)
((d>s)|m)
1
1
0
0
entailment
~(s)
(((~(s)|e)|(i>~((i|o))))|(p|f))
1
0
0
0
entailment
(((s>(~(f)|(x|f)))&~(x))&m)
(((~(s)|e)|(i>~((i|o))))|(p|f))
0
0
0
0
not entailment
~(s)
((d>s)|m)
0
0
0
0
not entailment
(~(p)&o)
(m|(x>o))
1
1
0
0
entailment
(((s>p)|f)>e)
(((~(f)|(x>(i>i)))>e)|s)
1
0
0
0
entailment
(~(p)&o)
(((~(f)|(x>(i>i)))>e)|s)
0
0
0
0
not entailment
(((s>p)|f)>e)
(m|(x>o))
0
1
0
0
not entailment
~(s)
(~((s&p))|i)
1
0
0
0
entailment
(d&(p|p))
(d|i)
1
1
0
0
entailment
~(s)
(d|i)
0
1
0
0
not entailment
(d&(p|p))
(~((s&p))|i)
0
0
0
0
not entailment
~((p|((f&o)>((e&(s>p))>(f&~(i))))))
(s>((m&((e>s)|~((i|s))))|(((i|p)|e)&p)))
1
0
0
0
entailment
((d>f)&x)
((m|x)|~(d))
1
0
0
0
entailment
~((p|((f&o)>((e&(s>p))>(f&~(i))))))
((m|x)|~(d))
0
1
0
0
not entailment
((d>f)&x)
(s>((m&((e>s)|~((i|s))))|(((i|p)|e)&p)))
0
0
0
0
not entailment
((((d|d)|f)&(p&(p&f)))&d)
(((o>d)|~((p&i)))|((i|~((s&(x&p))))>m))
1
0
0
0
entailment
((p&p)&~((~(o)|(p&(f&m)))))
(o|(((d>i)|(i|e))&(o|o)))
1
1
0
0
entailment
((((d|d)|f)&(p&(p&f)))&d)
(o|(((d>i)|(i|e))&(o|o)))
0
1
0
0
not entailment
((p&p)&~((~(o)|(p&(f&m)))))
(((o>d)|~((p&i)))|((i|~((s&(x&p))))>m))
0
0
0
0
not entailment
~((~((d|e))|~(p)))
((d&~(((d&m)>p)))>(e&i))
1
0
0
0
entailment
~(((((d>~(f))>f)|o)|(i&i)))
((i&s)>m)
1
1
0
0
entailment
~((~((d|e))|~(p)))
((i&s)>m)
0
1
0
0
not entailment
~(((((d>~(f))>f)|o)|(i&i)))
((d&~(((d&m)>p)))>(e&i))
0
1
0
0
not entailment
((g&(g>g))&(((g>g)>(g|g))|g))
(~((((g&(g>g))>g)|(g|g)))|(g|(g|g)))
1
0
1
1
entailment
~(((g&g)&((g&g)&(g|~((g|g))))))
~((((g|(g>(g&g)))&(g|g))&(g&g)))
1
1
1
1
entailment
((g&(g>g))&(((g>g)>(g|g))|g))
~((((g|(g>(g&g)))&(g|g))&(g&g)))
0
0
1
1
not entailment
~(((g&g)&((g&g)&(g|~((g|g))))))
(~((((g&(g>g))>g)|(g|g)))|(g|(g|g)))
0
0
1
1
not entailment
((g|(g&(~((g>g))>((g&g)>(g|g)))))|(g|g))
~(~(g))
1
1
1
1
entailment
((g&(g|g))>(g>~(g)))
((g&g)>((g>~(g))&(g&g)))
1
0
1
0
entailment
((g|(g&(~((g>g))>((g&g)>(g|g)))))|(g|g))
((g&g)>((g>~(g))&(g&g)))
0
1
1
1
not entailment
((g&(g|g))>(g>~(g)))
~(~(g))
0
1
1
0
not entailment
(e&g)
~(((((q>q)>(e&z))>(y|z))&(z&(q&~(g)))))
1
0
0
0
entailment
(q&~(g))
(~((p>q))>(~(a)>~(e)))
1
0
0
0
entailment
(e&g)
(~((p>q))>(~(a)>~(e)))
0
0
0
0
not entailment
(q&~(g))
~(((((q>q)>(e&z))>(y|z))&(z&(q&~(g)))))
0
0
0
0
not entailment
~(~(s))
((~(~(g))|s)&(g|s))
1
0
0
0
entailment
~(((d&((s>g)|~(p)))>y))
((~(y)>(a&(z>a)))|(((d&s)|(d|q))&d))
1
0
0
0
entailment
~(~(s))
((~(y)>(a&(z>a)))|(((d&s)|(d|q))&d))
0
0
0
0
not entailment
~(((d&((s>g)|~(p)))>y))
((~(~(g))|s)&(g|s))
0
1
1
0
not entailment
((z|(p>((~(z)|d)|d)))&((y>y)&~((y>z))))
((z>q)|(~(~(((s&q)>(s>y))))&s))
1
1
0
0
entailment
~(((z&a)|(z>(a|~(~(s))))))
(~(z)>z)
1
1
1
1
entailment
((z|(p>((~(z)|d)|d)))&((y>y)&~((y>z))))
(~(z)>z)
0
1
1
1
not entailment
~(((z&a)|(z>(a|~(~(s))))))
((z>q)|(~(~(((s&q)>(s>y))))&s))
0
0
0
0
not entailment
(g&~(~((p|(d|p)))))
(~(d)>g)
1
1
1
1
entailment
~(~(y))
(y|(((~(a)>(e|s))|q)>q))
1
0
0
0
entailment
(g&~(~((p|(d|p)))))
(y|(((~(a)>(e|s))|q)>q))
0
0
0
0
not entailment
~(~(y))
(~(d)>g)
0
1
0
0
not entailment
~(~(~((~(~(q))|g))))
~(~(~(~((g|(q>z))))))
1
1
0
0
entailment
(~(a)&(~((a>a))>(y>(y|s))))
~((~(~(~((a>s))))&(g>~(g))))
1
0
0
0
entailment
~(~(~((~(~(q))|g))))
~((~(~(~((a>s))))&(g>~(g))))
0
0
0
0
not entailment
(~(a)&(~((a>a))>(y>(y|s))))
~(~(~(~((g|(q>z))))))
0
1
0
0
not entailment
~((((g>a)>(y&g))|(~((a>p))>g)))
~((p&(e>s)))
1
1
0
0
entailment
(~((~(((p>y)|~(d)))>s))&~(g))
(((e|~(g))&~((s&(d>a))))>p)
1
1
0
0
entailment
~((((g>a)>(y&g))|(~((a>p))>g)))
(((e|~(g))&~((s&(d>a))))>p)
0
1
0
0
not entailment
(~((~(((p>y)|~(d)))>s))&~(g))
~((p&(e>s)))
0
1
0
0
not entailment