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
(s&z)
~((n&s))
0
0
0
0
not entailment
((o|(f&h))&n)
(~(~(((w>(n&(h|d)))|~(h))))|~(f))
1
0
0
0
entailment
((d|w)&~(~((((f>w)>s)&~((d|y))))))
((d>n)&(~((~(o)&(h|(y&d))))|(y|w)))
1
1
0
0
entailment
((o|(f&h))&n)
((d>n)&(~((~(o)&(h|(y&d))))|(y|w)))
0
0
0
0
not entailment
((d|w)&~(~((((f>w)>s)&~((d|y))))))
(~(~(((w>(n&(h|d)))|~(h))))|~(f))
0
1
0
0
not entailment
~(~(((((s&(i|v))>g)>i)&i)))
(~((i|(i>v)))|i)
1
1
1
0
entailment
~(g)
(i>(((g>~(g))|v)&~(((v&g)&(v&j)))))
1
0
0
0
entailment
~(~(((((s&(i|v))>g)>i)&i)))
(i>(((g>~(g))|v)&~(((v&g)&(v&j)))))
0
0
0
0
not entailment
~(g)
(~((i|(i>v)))|i)
0
0
0
0
not entailment
(~(s)&i)
(((s|(v&v))&((j&(j|(j>s)))>i))|i)
1
0
0
0
entailment
~((j>~(g)))
~(~((~((g&g))>s)))
1
0
0
0
entailment
(~(s)&i)
~(~((~((g&g))>s)))
0
0
0
0
not entailment
~((j>~(g)))
(((s|(v&v))&((j&(j|(j>s)))>i))|i)
0
0
0
0
not entailment
((v>(((g&j)>~((i>i)))>v))&(i|~((j|v))))
(j>i)
1
1
1
1
entailment
~(~(((j>s)&(((v>s)>~(i))&j))))
((j|v)&j)
1
1
1
1
entailment
((v>(((g&j)>~((i>i)))>v))&(i|~((j|v))))
((j|v)&j)
0
1
1
1
not entailment
~(~(((j>s)&(((v>s)>~(i))&j))))
(j>i)
0
1
1
0
not entailment
(v&(((i|j)&g)>(g&(s|s))))
~(~((~(v)>(i|(~((g|g))>j)))))
1
0
1
0
entailment
~((~((((g>i)>s)|j))|(v|g)))
((s>s)&~((v|v)))
1
1
1
0
entailment
(v&(((i|j)&g)>(g&(s|s))))
((s>s)&~((v|v)))
0
1
1
0
not entailment
~((~((((g>i)>s)|j))|(v|g)))
~(~((~(v)>(i|(~((g|g))>j)))))
0
0
1
0
not entailment
~((~((~((j&g))|(s&s)))>(i|((j|i)>i))))
((s>(g|~((~(~(~(j)))|v))))|j)
1
1
0
0
entailment
(s&(s|(i|v)))
~((((g|j)&(v>v))&~((s|v))))
1
0
0
0
entailment
~((~((~((j&g))|(s&s)))>(i|((j|i)>i))))
~((((g|j)&(v>v))&~((s|v))))
0
1
0
0
not entailment
(s&(s|(i|v)))
((s>(g|~((~(~(~(j)))|v))))|j)
0
0
0
0
not entailment
(s|~((~(((i>i)&j))|s)))
((v|(j|((s&v)|(s|s))))|v)
1
1
0
0
entailment
((g&(s|i))&i)
(((~(s)&s)>~(g))>(i|i))
1
0
1
0
entailment
(s|~((~(((i>i)&j))|s)))
(((~(s)&s)>~(g))>(i|i))
0
1
0
0
not entailment
((g&(s|i))&i)
((v|(j|((s&v)|(s|s))))|v)
0
0
0
0
not entailment
~(~(((((s|i)&v)&(s&g))&(~(i)|s))))
((s|j)|~((j|(~(((v|g)|v))|((v|v)&i)))))
1
0
0
0
entailment
(j|i)
(~(i)>j)
1
0
1
1
entailment
~(~(((((s|i)&v)&(s&g))&(~(i)|s))))
(~(i)>j)
0
1
0
0
not entailment
(j|i)
((s|j)|~((j|(~(((v|g)|v))|((v|v)&i)))))
0
0
0
0
not entailment
((j&s)&~((~(~(g))>~((g>i)))))
((v|(((s>g)|j)|g))&g)
1
1
0
0
entailment
~(((i&(j|(i|i)))>(v|g)))
~((v&(g&(v|(((v&~(v))|g)&j)))))
1
0
1
0
entailment
((j&s)&~((~(~(g))>~((g>i)))))
~((v&(g&(v|(((v&~(v))|g)&j)))))
0
1
0
0
not entailment
~(((i&(j|(i|i)))>(v|g)))
((v|(((s>g)|j)|g))&g)
0
1
0
0
not entailment
(j>(((j|g)&i)&(v>i)))
(~(((j>i)|i))>(s&i))
1
1
0
0
entailment
(~((v>~(~(g))))&~(s))
~((i&~((((j>v)&s)>(g>j)))))
1
0
0
0
entailment
(j>(((j|g)&i)&(v>i)))
~((i&~((((j>v)&s)>(g>j)))))
0
0
0
0
not entailment
(~((v>~(~(g))))&~(s))
(~(((j>i)|i))>(s&i))
0
1
0
0
not entailment
~((~((g&g))|(i|(s>i))))
~((~(((i&s)|((s|j)&((g|i)|i))))&(s>i)))
1
0
0
0
entailment
(~((g&j))&v)
((g&j)>(j&(((i>j)&g)>~(v))))
1
0
0
0
entailment
~((~((g&g))|(i|(s>i))))
((g&j)>(j&(((i>j)&g)>~(v))))
0
0
0
0
not entailment
(~((g&j))&v)
~((~(((i&s)|((s|j)&((g|i)|i))))&(s>i)))
0
0
0
0
not entailment
~(i)
~(i)
1
1
1
1
entailment
~(((j&v)>(s&i)))
((~((s&j))&(v|g))>j)
1
0
0
0
entailment
~(i)
((~((s&j))&(v|g))>j)
0
0
0
0
not entailment
~(((j&v)>(s&i)))
~(i)
0
1
1
1
not entailment
~((((i&i)|g)>(i|~(j))))
((~((i|(v|(s&~(g)))))|i)>(g|i))
1
0
0
0
entailment
(~((s&((g|j)&j)))&j)
((v>v)&~(s))
1
1
0
0
entailment
~((((i&i)|g)>(i|~(j))))
((v>v)&~(s))
0
1
0
0
not entailment
(~((s&((g|j)&j)))&j)
((~((i|(v|(s&~(g)))))|i)>(g|i))
0
0
0
0
not entailment
((s&i)&((g&i)>((v>j)>(i&i))))
((i|(~(g)>(g>j)))&s)
1
1
1
0
entailment
(~(j)&((i|j)|v))
((g|~((~(j)&(j>g))))>g)
1
0
0
0
entailment
((s&i)&((g&i)>((v>j)>(i&i))))
((g|~((~(j)&(j>g))))>g)
0
1
1
0
not entailment
(~(j)&((i|j)|v))
((i|(~(g)>(g>j)))&s)
0
0
0
0
not entailment
~(~(~(~((~((s|(j>s)))|i)))))
(~((v&(j&s)))>((i|((i&s)|(g>v)))|(s>v)))
1
0
0
0
entailment
(s&(j|((v>(s>i))&~(v))))
((s|((s&~((g&v)))|v))|(((g&s)&g)&(s|v)))
1
0
0
0
entailment
~(~(~(~((~((s|(j>s)))|i)))))
((s|((s&~((g&v)))|v))|(((g&s)&g)&(s|v)))
0
0
0
0
not entailment
(s&(j|((v>(s>i))&~(v))))
(~((v&(j&s)))>((i|((i&s)|(g>v)))|(s>v)))
0
0
0
0
not entailment
(v&v)
(~((~(v)&s))|(i|(s>(g>i))))
1
0
0
0
entailment
(g&((((v|g)|v)&g)>((g&s)|((g&(i>s))>i))))
(((v|(j|i))&s)|((g>(v|g))>g))
1
1
0
0
entailment
(v&v)
(((v|(j|i))&s)|((g>(v|g))>g))
0
0
0
0
not entailment
(g&((((v|g)|v)&g)>((g&s)|((g&(i>s))>i))))
(~((~(v)&s))|(i|(s>(g>i))))
0
1
1
0
not entailment
~((c|e))
(((c|~(((c>r)&l)))|~((e&s)))>(c>s))
1
0
0
0
entailment
(p&k)
(l>p)
1
1
0
0
entailment
~((c|e))
(l>p)
0
1
0
0
not entailment
(p&k)
(((c|~(((c>r)&l)))|~((e&s)))>(c>s))
0
0
0
0
not entailment
(k&((l>e)>(~((p>j))>(c>l))))
((((l>(b&((p>c)|(s>b))))>e)>l)|k)
1
0
0
0
entailment
~((j>(~(c)&e)))
((l|(l|c))|((l|e)>~(((b|j)>p))))
1
0
0
0
entailment
(k&((l>e)>(~((p>j))>(c>l))))
((l|(l|c))|((l|e)>~(((b|j)>p))))
0
0
0
0
not entailment
~((j>(~(c)&e)))
((((l>(b&((p>c)|(s>b))))>e)>l)|k)
0
0
0
0
not entailment
((b&~(l))&b)
(s|b)
1
1
0
0
entailment
~((((s>p)>~(l))|(l&e)))
(((k>r)|((b&p)|((l>(s>b))&r)))>(s|l))
1
0
0
0
entailment
((b&~(l))&b)
(((k>r)|((b&p)|((l>(s>b))&r)))>(s|l))
0
0
0
0
not entailment
~((((s>p)>~(l))|(l&e)))
(s|b)
0
1
0
0
not entailment
~((c>(c&e)))
((j>~(e))|(k>((b|p)|(k>b))))
1
0
0
0
entailment
~((~(((((r>(p&c))&(e|b))>r)>l))>(p&s)))
(j>(l>k))
1
1
0
0
entailment
~((c>(c&e)))
(j>(l>k))
0
1
0
0
not entailment
~((~(((((r>(p&c))&(e|b))>r)>l))>(p&s)))
((j>~(e))|(k>((b|p)|(k>b))))
0
1
0
0
not entailment
~(((e&j)>(j>((e&(r>j))&b))))
(~((r|s))>e)
1
1
0
0
entailment
~((~((s|s))>((r|j)|((((p>r)|k)&b)>k))))
((~(b)>c)|p)
1
1
0
0
entailment
~(((e&j)>(j>((e&(r>j))&b))))
((~(b)>c)|p)
0
1
0
0
not entailment
~((~((s|s))>((r|j)|((((p>r)|k)&b)>k))))
(~((r|s))>e)
0
1
0
0
not entailment
~((r|(l>~(s))))
((p|((l|p)|b))|((c&~(j))&~(s)))
1
0
0
0
entailment
~((s|((s|k)|(j|c))))
(((s&j)>(c|~(~(p))))|(~(l)|p))
1
0
0
0
entailment
~((r|(l>~(s))))
(((s&j)>(c|~(~(p))))|(~(l)|p))
0
0
0
0
not entailment
~((s|((s|k)|(j|c))))
((p|((l|p)|b))|((c&~(j))&~(s)))
0
0
0
0
not entailment
(e&~(~(b)))
~((s&(r&(b>~(r)))))
1
0
0
0
entailment
((((c&c)>e)&(c&(k|k)))&(p>~(~(j))))
(r>(s|(c|(k>j))))
1
1
0
0
entailment
(e&~(~(b)))
(r>(s|(c|(k>j))))
0
0
0
0
not entailment
((((c&c)>e)&(c&(k|k)))&(p>~(~(j))))
~((s&(r&(b>~(r)))))
0
1
0
0
not entailment
(p&r)
~((s&(~(c)&~(((e>l)|(p&(b>(r|l))))))))
1
0
0
0
entailment
((l|k)&j)
((p>k)>((p>s)|(p>j)))
1
0
0
0
entailment
(p&r)
((p>k)>((p>s)|(p>j)))
0
0
0
0
not entailment
((l|k)&j)
~((s&(~(c)&~(((e>l)|(p&(b>(r|l))))))))
0
0
0
0
not entailment
(~(~(((s|l)&((s>j)&k))))&((e>s)&(k>j)))
(p|((p|k)&((c>k)|(r|p))))
1
1
0
0
entailment
(c&(~(s)&(r|((s>b)|r))))
~((s&((r&b)&r)))
1
1
1
0
entailment
(~(~(((s|l)&((s>j)&k))))&((e>s)&(k>j)))
~((s&((r&b)&r)))
0
1
0
0
not entailment