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
(u&e)
(d|(~(((g|((e&g)>l))>~(e)))|(u&(y&l))))
1
0
0
0
entailment
((e>g)>~(g))
~(((e&g)&((g>l)&(~(m)|((x>e)&v)))))
1
0
0
0
entailment
(u&e)
~(((e&g)&((g>l)&(~(m)|((x>e)&v)))))
0
0
0
0
not entailment
((e>g)>~(g))
(d|(~(((g|((e&g)>l))>~(e)))|(u&(y&l))))
0
0
0
0
not entailment
(l|(l&(v|y)))
~(~(((e|l)|(m&~(g)))))
1
0
0
0
entailment
~(e)
(e>~(g))
1
0
0
0
entailment
(l|(l&(v|y)))
(e>~(g))
0
1
0
0
not entailment
~(e)
~(~(((e|l)|(m&~(g)))))
0
0
0
0
not entailment
((g|(x>x))&l)
(~((~(((y&l)>(m|(x|l))))&m))&(l|e))
1
0
0
0
entailment
((v>y)&((d>d)&m))
(~(l)|m)
1
1
0
0
entailment
((g|(x>x))&l)
(~(l)|m)
0
1
0
0
not entailment
((v>y)&((d>d)&m))
(~((~(((y&l)>(m|(x|l))))&m))&(l|e))
0
0
0
0
not entailment
(~((d>(e&(~((d|x))&g))))&(~(~(g))&d))
((((d>e)>v)|(l|e))|(y|u))
1
1
0
0
entailment
~((u|v))
((u&(x>u))>(x&((x|~(d))&((l>y)&v))))
1
0
0
0
entailment
(~((d>(e&(~((d|x))&g))))&(~(~(g))&d))
((u&(x>u))>(x&((x|~(d))&((l>y)&v))))
0
1
0
0
not entailment
~((u|v))
((((d>e)>v)|(l|e))|(y|u))
0
0
0
0
not entailment
((f&f)&(p&f))
(p&((f|~((p>p)))|~((f&f))))
1
0
1
0
entailment
(((f>~((p>f)))>p)&~((p&p)))
~((f&(~((~(~(((f|f)|f)))|p))|p)))
1
0
1
0
entailment
((f&f)&(p&f))
~((f&(~((~(~(((f|f)|f)))|p))|p)))
0
0
1
0
not entailment
(((f>~((p>f)))>p)&~((p&p)))
(p&((f|~((p>p)))|~((f&f))))
0
1
1
0
not entailment
~((p>f))
(~(~((f&f)))|p)
1
0
1
0
entailment
(((p&p)>f)&(p>(((~(~(f))|~(f))>f)&p)))
((p|(f&f))>f)
1
1
1
1
entailment
~((p>f))
((p|(f&f))>f)
0
0
1
0
not entailment
(((p&p)>f)&(p>(((~(~(f))|~(f))>f)&p)))
(~(~((f&f)))|p)
0
1
1
1
not entailment
((p&~(f))|~((p>p)))
(~(~(~(((f&p)&((p&f)>f)))))&~(f))
1
0
1
0
entailment
(((p&p)>p)>f)
~(~(f))
1
1
1
1
entailment
((p&~(f))|~((p>p)))
~(~(f))
0
1
1
0
not entailment
(((p&p)>p)>f)
(~(~(~(((f&p)&((p&f)>f)))))&~(f))
0
0
1
0
not entailment
(p|((~(f)|~((p>p)))&(f|f)))
(((~(f)|(p>(f>f)))>~(p))>(f&p))
1
0
1
1
entailment
~(~(f))
(((f>f)&~(f))>(~(p)&((f&f)|p)))
1
0
0
0
entailment
(p|((~(f)|~((p>p)))&(f|f)))
(((f>f)&~(f))>(~(p)&((f&f)|p)))
0
0
1
1
not entailment
~(~(f))
(((~(f)|(p>(f>f)))>~(p))>(f&p))
0
0
0
0
not entailment
(p|p)
(((f>p)>p)|f)
1
0
0
0
entailment
(~(p)&((~(f)>(p>f))&(f>p)))
~((((f>p)|p)&p))
1
1
1
1
entailment
(p|p)
~((((f>p)|p)&p))
0
0
0
0
not entailment
(~(p)&((~(f)>(p>f))&(f>p)))
(((f>p)>p)|f)
0
1
1
1
not entailment
(f&(f&f))
~(~((~((f&((p|f)|p)))>(~((p&p))&f))))
1
0
0
0
entailment
~(((~(f)>p)&(((~(p)|f)|p)|((f|f)|f))))
(f>~((f>(f>p))))
1
1
1
0
entailment
(f&(f&f))
(f>~((f>(f>p))))
0
0
0
0
not entailment
~(((~(f)>p)&(((~(p)|f)|p)|((f|f)|f))))
~(~((~((f&((p|f)|p)))>(~((p&p))&f))))
0
1
1
0
not entailment
~((k&(~(j)|k)))
~((~(w)&k))
1
1
0
0
entailment
(((w>g)|(g|w))&(k&s))
((k&((~(g)|s)|((z&s)|v)))|((j|z)|~(v)))
1
0
0
0
entailment
~((k&(~(j)|k)))
((k&((~(g)|s)|((z&s)|v)))|((j|z)|~(v)))
0
0
0
0
not entailment
(((w>g)|(g|w))&(k&s))
~((~(w)&k))
0
1
1
0
not entailment
((z>(s>(w&k)))&j)
(j|((z|((n&s)&n))|j))
1
0
0
0
entailment
((k&~((v>z)))&(n>(((n|n)>w)&(n|n))))
((~(~((j>k)))&((g|w)|k))|(z|(s|(s&g))))
1
0
0
0
entailment
((z>(s>(w&k)))&j)
((~(~((j>k)))&((g|w)|k))|(z|(s|(s&g))))
0
0
0
0
not entailment
((k&~((v>z)))&(n>(((n|n)>w)&(n|n))))
(j|((z|((n&s)&n))|j))
0
1
0
0
not entailment
(j>(m&~((m|(n|k)))))
~(((w|(j>w))>~(~((g&~(g))))))
1
0
0
0
entailment
~(~((z&n)))
((w&k)|((((m>n)|j)|~(v))|(z|~(s))))
1
0
0
0
entailment
(j>(m&~((m|(n|k)))))
((w&k)|((((m>n)|j)|~(v))|(z|~(s))))
0
0
0
0
not entailment
~(~((z&n)))
~(((w|(j>w))>~(~((g&~(g))))))
0
0
0
0
not entailment
(~((w>z))&(g|((((v|k)&s)>n)|g)))
((j|j)|(z>(v&w)))
1
1
0
0
entailment
(~(s)&((z>w)|((v|g)&j)))
((s&v)>(n>z))
1
1
0
0
entailment
(~((w>z))&(g|((((v|k)&s)>n)|g)))
((s&v)>(n>z))
0
1
1
0
not entailment
(~(s)&((z>w)|((v|g)&j)))
((j|j)|(z>(v&w)))
0
1
1
1
not entailment
(((m&(z&v))&((v|v)>g))&(z&w))
(w>m)
1
1
1
0
entailment
((k&j)&(s&z))
(~(k)>~((w&(~(w)>((m|v)&(v|m))))))
1
0
0
0
entailment
(((m&(z&v))&((v|v)>g))&(z&w))
(~(k)>~((w&(~(w)>((m|v)&(v|m))))))
0
0
0
0
not entailment
((k&j)&(s&z))
(w>m)
0
1
0
0
not entailment
((((v&(v&s))|(v&m))>z)&(g&~((w>(s>m)))))
(g|j)
1
1
0
0
entailment
~((~(~(~((((m&g)|(m>k))&k))))|z))
(k|(m&w))
1
1
0
0
entailment
((((v&(v&s))|(v&m))>z)&(g&~((w>(s>m)))))
(k|(m&w))
0
1
0
0
not entailment
~((~(~(~((((m&g)|(m>k))&k))))|z))
(g|j)
0
1
0
0
not entailment
(s&v)
(m>v)
1
1
0
0
entailment
(~((w>v))&(((w>w)>j)&(~((m&(k&m)))&w)))
((s>n)>(((v>g)|k)|k))
1
1
0
0
entailment
(s&v)
((s>n)>(((v>g)|k)|k))
0
0
0
0
not entailment
(~((w>v))&(((w>w)>j)&(~((m&(k&m)))&w)))
(m>v)
0
1
1
0
not entailment
(~(~((s&(k|w))))|(((w&k)|n)&(g|(s&v))))
(s|(j|g))
1
1
0
0
entailment
(z>n)
(((((z|n)>(w|g))|j)|(j|g))|(n|v))
1
0
0
0
entailment
(~(~((s&(k|w))))|(((w&k)|n)&(g|(s&v))))
(((((z|n)>(w|g))|j)|(j|g))|(n|v))
0
1
0
0
not entailment
(z>n)
(s|(j|g))
0
0
0
0
not entailment
~((n>((n>w)|~(j))))
((z|w)>(w>v))
1
1
0
0
entailment
~(((g>(((n|j)|z)>k))|m))
((v>k)|g)
1
1
0
0
entailment
~((n>((n>w)|~(j))))
((v>k)|g)
0
1
0
0
not entailment
~(((g>(((n|j)|z)>k))|m))
((z|w)>(w>v))
0
1
0
0
not entailment
((n&k)&(((n>g)|(m&((v&s)|w)))&~(s)))
(z|((k|m)>k))
1
1
0
0
entailment
(v&((s|~(k))|k))
(((w&(z&(z|g)))>((m>v)|j))&v)
1
0
0
0
entailment
((n&k)&(((n>g)|(m&((v&s)|w)))&~(s)))
(((w&(z&(z|g)))>((m>v)|j))&v)
0
1
0
0
not entailment
(v&((s|~(k))|k))
(z|((k|m)>k))
0
1
0
0
not entailment
(m&~(((~(m)|n)>~((z&z)))))
~(~((v|~((z>v)))))
1
1
0
0
entailment
((~(k)>(k&n))&g)
(((v|~(~(((k&v)&(k&m)))))|(~(z)&g))|k)
1
0
0
0
entailment
(m&~(((~(m)|n)>~((z&z)))))
(((v|~(~(((k&v)&(k&m)))))|(~(z)&g))|k)
0
0
0
0
not entailment
((~(k)>(k&n))&g)
~(~((v|~((z>v)))))
0
0
0
0
not entailment
(n&m)
(((m>j)|n)&(n|k))
1
0
0
0
entailment
((v&w)&(k&g))
(((k>(w>w))&(v>z))|(g|g))
1
0
0
0
entailment
(n&m)
(((k>(w>w))&(v>z))|(g|g))
0
0
0
0
not entailment
((v&w)&(k&g))
(((m>j)|n)&(n|k))
0
0
0
0
not entailment
(z|(z|(~((j&n))&m)))
(((k|g)|(g>s))&((m>z)>((k>g)|z)))
1
0
0
0
entailment
~(~(((j|(~((g|k))>v))&(((m|n)>w)>j))))
(~(w)|j)
1
1
1
1
entailment
(z|(z|(~((j&n))&m)))
(~(w)|j)
0
1
0
0
not entailment
~(~(((j|(~((g|k))>v))&(((m|n)>w)>j))))
(((k|g)|(g>s))&((m>z)>((k>g)|z)))
0
1
0
0
not entailment
~((g>(~(w)|s)))
(w|(g>(((z&n)|~(s))>k)))
1
0
0
0
entailment
~(((s&((v&(s&v))|v))>(m&s)))
(~(m)|~(~((m>((~(k)|n)>s)))))
1
0
0
0
entailment
~((g>(~(w)|s)))
(~(m)|~(~((m>((~(k)|n)>s)))))
0
0
0
0
not entailment
~(((s&((v&(s&v))|v))>(m&s)))
(w|(g>(((z&n)|~(s))>k)))
0
1
0
0
not entailment
~((z|(v|g)))
(z>((~((g|s))>s)&(m|~(~(m)))))
1
0
0
0
entailment
~((((w>g)&~(z))|(~(((g&j)&w))|~(n))))
(((s|n)|z)|j)
1
1
0
0
entailment
~((z|(v|g)))
(((s|n)|z)|j)
0
1
0
0
not entailment
~((((w>g)&~(z))|(~(((g&j)&w))|~(n))))
(z>((~((g|s))>s)&(m|~(~(m)))))
0
1
0
0
not entailment