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
((~(e)|m)>~(((((m|f)|u)&~(f))>e)))
(m|~((y&~((((u>f)>m)|e)))))
1
1
0
0
entailment
(f|f)
(f&(((m>e)&e)|~(((u&e)|~((e>m))))))
1
0
0
0
entailment
((~(e)|m)>~(((((m|f)|u)&~(f))>e)))
(f&(((m>e)&e)|~(((u&e)|~((e>m))))))
0
1
1
0
not entailment
(f|f)
(m|~((y&~((((u>f)>m)|e)))))
0
0
0
0
not entailment
~(((u>((y|u)&((~(m)|f)&f)))|~((e&m))))
(((e|y)|((f|y)&(u|(m>f))))>(e|(m&(e>u))))
1
1
1
0
entailment
(((((e&(y>m))|u)&~(u))>((m&u)&e))&~(m))
(~((e&m))|~(y))
1
1
1
0
entailment
~(((u>((y|u)&((~(m)|f)&f)))|~((e&m))))
(~((e&m))|~(y))
0
1
1
0
not entailment
(((((e&(y>m))|u)&~(u))>((m&u)&e))&~(m))
(((e|y)|((f|y)&(u|(m>f))))>(e|(m&(e>u))))
0
1
0
0
not entailment
~(x)
((n&x)>((o&(o|~(q)))|p))
1
0
0
0
entailment
((p>~(~((q>x))))&((p|n)&~((p&p))))
((((n|x)|z)>p)>~((z>~((p>o)))))
1
1
0
0
entailment
~(x)
((((n|x)|z)>p)>~((z>~((p>o)))))
0
0
0
0
not entailment
((p>~(~((q>x))))&((p|n)&~((p&p))))
((n&x)>((o&(o|~(q)))|p))
0
1
0
0
not entailment
~(((o&p)>(~(x)>z)))
((((p|z)|o)&z)>~(~((p&(n>(n&n))))))
1
0
0
0
entailment
(o&(((n&o)|(~(q)&o))&(x&(q>x))))
((x&o)|z)
1
1
0
0
entailment
~(((o&p)>(~(x)>z)))
((x&o)|z)
0
1
1
0
not entailment
(o&(((n&o)|(~(q)&o))&(x&(q>x))))
((((p|z)|o)&z)>~(~((p&(n>(n&n))))))
0
0
0
0
not entailment
((x>(n|z))&(o&(o&q)))
((p&(p|~(((n&q)|p))))|~((~(q)&z)))
1
0
0
0
entailment
~(~(~((p|(q|x)))))
(q>z)
1
1
0
0
entailment
((x>(n|z))&(o&(o&q)))
(q>z)
0
1
1
0
not entailment
~(~(~((p|(q|x)))))
((p&(p|~(((n&q)|p))))|~((~(q)&z)))
0
0
0
0
not entailment
(x&((x|p)>~((x&~((p&o))))))
(((z|(n&q))&n)|(n|(p>x)))
1
1
0
0
entailment
~(((q&q)>n))
(q|q)
1
1
1
1
entailment
(x&((x|p)>~((x&~((p&o))))))
(q|q)
0
1
0
0
not entailment
~(((q&q)>n))
(((z|(n&q))&n)|(n|(p>x)))
0
0
0
0
not entailment
~(((o>z)|~(((p|q)&~(z)))))
(o&((q|o)|(~(p)>(x>z))))
1
1
0
0
entailment
~(q)
~((n&(q&(x|q))))
1
0
0
0
entailment
~(((o>z)|~(((p|q)&~(z)))))
~((n&(q&(x|q))))
0
1
0
0
not entailment
~(q)
(o&((q|o)|(~(p)>(x>z))))
0
0
0
0
not entailment
~(~((((o>z)>o)&q)))
(((n|o)|(z>x))>(p|((z>q)>(o|(n|n)))))
1
0
0
0
entailment
(~(q)|(~((~(o)>(o|q)))&~(~(z))))
~(q)
1
1
1
1
entailment
~(~((((o>z)>o)&q)))
~(q)
0
1
1
0
not entailment
(~(q)|(~((~(o)>(o|q)))&~(~(z))))
(((n|o)|(z>x))>(p|((z>q)>(o|(n|n)))))
0
1
0
0
not entailment
~(~(((n&(p|x))&z)))
((o&n)>z)
1
1
0
0
entailment
((q&q)&~(p))
(z>(p>(x&(z>p))))
1
0
0
0
entailment
~(~(((n&(p|x))&z)))
(z>(p>(x&(z>p))))
0
1
1
0
not entailment
((q&q)&~(p))
((o&n)>z)
0
1
0
0
not entailment
~(~(~((z|(n>x)))))
(~(((p>p)>((x&p)&(~(z)|q))))|~(o))
1
0
0
0
entailment
((o&x)&(~(x)|(~((~((n&(o|p)))&p))&p)))
(o&((~((o|(q>z)))|x)>(p>(o|o))))
1
1
0
0
entailment
~(~(~((z|(n>x)))))
(o&((~((o|(q>z)))|x)>(p>(o|o))))
0
0
0
0
not entailment
((o&x)&(~(x)|(~((~((n&(o|p)))&p))&p)))
(~(((p>p)>((x&p)&(~(z)|q))))|~(o))
0
1
0
0
not entailment
~((~(~((((o&(o>p))|n)&p)))|o))
(~(((o|p)>(p|q)))>n)
1
1
0
0
entailment
~(((((x>((q&n)>p))|x)>z)>~(~((o>n)))))
((q>z)|~((o|~((z|n)))))
1
1
1
0
entailment
~((~(~((((o&(o>p))|n)&p)))|o))
((q>z)|~((o|~((z|n)))))
0
1
0
0
not entailment
~(((((x>((q&n)>p))|x)>z)>~(~((o>n)))))
(~(((o|p)>(p|q)))>n)
0
1
1
0
not entailment
(n&~((~(n)|(q>z))))
((o|n)>n)
1
1
0
0
entailment
~(((n>z)>~((~(n)&z))))
(z|~((o&~((n&p)))))
1
1
0
0
entailment
(n&~((~(n)|(q>z))))
(z|~((o&~((n&p)))))
0
1
0
0
not entailment
~(((n>z)>~((~(n)&z))))
((o|n)>n)
0
1
0
0
not entailment
(((~(x)&x)>(n&o))&(z&~(~(p))))
~(~((z|p)))
1
1
1
1
entailment
(~(q)&n)
(n&((n>(z|n))|q))
1
0
0
0
entailment
(((~(x)&x)>(n&o))&(z&~(~(p))))
(n&((n>(z|n))|q))
0
1
0
0
not entailment
(~(q)&n)
~(~((z|p)))
0
0
0
0
not entailment
((((z|n)&p)&~(~((o>(z&p)))))&o)
(z|((p>n)&((((n&q)&p)>(q|(p>q)))|(q>z))))
1
0
0
0
entailment
((~(~(~((~(o)>q))))&((z&q)|p))&(z>z))
(p&(~((n>z))|(((q>q)>(q&z))>n)))
1
1
0
0
entailment
((((z|n)&p)&~(~((o>(z&p)))))&o)
(p&(~((n>z))|(((q>q)>(q&z))>n)))
0
1
0
0
not entailment
((~(~(~((~(o)>q))))&((z&q)|p))&(z>z))
(z|((p>n)&((((n&q)&p)>(q|(p>q)))|(q>z))))
0
1
0
0
not entailment
((x&n)&(o&(o>q)))
((x|n)&~(~(n)))
1
1
1
1
entailment
~(((n|z)&(~((~(x)|p))>(z>z))))
(((x>~(n))|p)&((p|((o|n)>p))|(q>q)))
1
0
0
0
entailment
((x&n)&(o&(o>q)))
(((x>~(n))|p)&((p|((o|n)>p))|(q>q)))
0
0
0
0
not entailment
~(((n|z)&(~((~(x)|p))>(z>z))))
((x|n)&~(~(n)))
0
1
1
0
not entailment
((w>f)&w)
((w>w)>f)
1
1
1
1
entailment
(((g&((g|~(v))&g))&~(~((f|g))))&(w&v))
(((f&~(w))|((f&~(v))&~(g)))|g)
1
1
1
0
entailment
((w>f)&w)
(((f&~(w))|((f&~(v))&~(g)))|g)
0
0
0
0
not entailment
(((g&((g|~(v))&g))&~(~((f|g))))&(w&v))
((w>w)>f)
0
1
1
0
not entailment
~((v>(v>((w>g)|~((w|(v&f)))))))
~(~((f|((v>w)>((~(~(w))|w)&w)))))
1
0
1
0
entailment
(w>g)
(w>g)
1
1
1
1
entailment
~((v>(v>((w>g)|~((w|(v&f)))))))
(w>g)
0
1
1
0
not entailment
(w>g)
~(~((f|((v>w)>((~(~(w))|w)&w)))))
0
0
0
0
not entailment
~((~((g>(w>v)))|v))
(~(g)|(w>~(f)))
1
1
0
0
entailment
~((~((f&g))|v))
((f>g)&(g|v))
1
1
1
0
entailment
~((~((g>(w>v)))|v))
((f>g)&(g|v))
0
1
0
0
not entailment
~((~((f&g))|v))
(~(g)|(w>~(f)))
0
1
0
0
not entailment
~(f)
~(((f&g)&(w>f)))
1
0
0
0
entailment
((((w|(g>f))&(w|w))|(v&f))&~(((w|v)&v)))
(w>~(~((v>g))))
1
1
1
0
entailment
~(f)
(w>~(~((v>g))))
0
0
0
0
not entailment
((((w|(g>f))&(w|w))|(v&f))&~(((w|v)&v)))
~(((f&g)&(w>f)))
0
1
1
0
not entailment
(~((g&f))&g)
(((w|v)>g)|w)
1
1
0
0
entailment
(v&(g>((g&~(w))>(g>(g>~(w))))))
(w>~(~((v|(v|v)))))
1
1
1
1
entailment
(~((g&f))&g)
(w>~(~((v|(v|v)))))
0
0
0
0
not entailment
(v&(g>((g&~(w))>(g>(g>~(w))))))
(((w|v)>g)|w)
0
1
1
0
not entailment
~(v)
(f>(~((f>v))&(f&(g>f))))
1
0
0
0
entailment
~(~(~((w&(g&~((~((g&w))&w)))))))
(~(w)|(v|~(((~(g)>f)&g))))
1
1
0
0
entailment
~(v)
(~(w)|(v|~(((~(g)>f)&g))))
0
0
0
0
not entailment
~(~(~((w&(g&~((~((g&w))&w)))))))
(f>(~((f>v))&(f&(g>f))))
0
1
0
0
not entailment
(~((v>g))&w)
(~((w>(g|g)))&((f|w)|(w>(~(w)|~(g)))))
1
0
0
0
entailment
(((f&v)&~(g))&f)
(((w|g)&~(f))>~(~(f)))
1
0
0
0
entailment
(~((v>g))&w)
(((w|g)&~(f))>~(~(f)))
0
0
0
0
not entailment
(((f&v)&~(g))&f)
(~((w>(g|g)))&((f|w)|(w>(~(w)|~(g)))))
0
0
0
0
not entailment
((((~(g)&~(f))>~(v))&(g>(v>w)))&~(f))
~(~(((((v&g)&f)&f)>w)))
1
1
1
1
entailment
(v&f)
(((f>g)&(~(g)|g))>(g&g))
1
0
0
0
entailment
((((~(g)&~(f))>~(v))&(g>(v>w)))&~(f))
(((f>g)&(~(g)|g))>(g&g))
0
1
1
1
not entailment
(v&f)
~(~(((((v&g)&f)&f)>w)))
0
0
0
0
not entailment
~(g)
(w|(~(((v&(f&f))&(v>g)))|w))
1
0
0
0
entailment
~(((g>~(v))&(~((v>g))>~(g))))
(((v|w)|~(~(w)))|((w>(f>f))>g))
1
1
0
0
entailment
~(g)
(((v|w)|~(~(w)))|((w>(f>f))>g))
0
0
0
0
not entailment
~(((g>~(v))&(~((v>g))>~(g))))
(w|(~(((v&(f&f))&(v>g)))|w))
0
1
0
0
not entailment
(w&f)
(((f|w)|(w>w))&(f>(v>w)))
1
0
0
0
entailment
(((f>g)>v)&(g|(f&w)))
((~((v|g))>g)>((w|g)&v))
1
0
1
0
entailment
(w&f)
((~((v|g))>g)>((w|g)&v))
0
0
0
0
not entailment
(((f>g)>v)&(g|(f&w)))
(((f|w)|(w>w))&(f>(v>w)))
0
0
1
0
not entailment