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|~(((((~((s|b))|s)|g)|v)|b))))
(~(s)>~((g>b)))
0
1
1
1
not entailment
(~(~(g))&((s&(s>p))&(v&(v&b))))
(((v>b)>g)>(b>p))
1
1
1
0
entailment
~((((s|~(v))|v)>(v|s)))
(g>(~(s)|~((b|v))))
1
1
0
0
entailment
(~(~(g))&((s&(s>p))&(v&(v&b))))
(g>(~(s)|~((b|v))))
0
1
1
0
not entailment
~((((s|~(v))|v)>(v|s)))
(((v>b)>g)>(b>p))
0
1
0
0
not entailment
~(~(((s|(g|(p>s)))>((s&(~(v)>p))&p))))
(~((s>(~((p|s))|p)))>~((s&~((s>b)))))
1
1
0
0
entailment
~((((b|b)|b)|v))
~(((v>s)>b))
1
1
0
0
entailment
~(~(((s|(g|(p>s)))>((s&(~(v)>p))&p))))
~(((v>s)>b))
0
1
0
0
not entailment
~((((b|b)|b)|v))
(~((s>(~((p|s))|p)))>~((s&~((s>b)))))
0
0
0
0
not entailment
((((g|p)|g)>p)&v)
(((p|g)>~(v))|p)
1
1
1
0
entailment
(s&~(~(s)))
((b>g)>((s|g)&(p>s)))
1
0
0
0
entailment
((((g|p)|g)>p)&v)
((b>g)>((s|g)&(p>s)))
0
0
0
0
not entailment
(s&~(~(s)))
(((p|g)>~(v))|p)
0
0
0
0
not entailment
((p&v)&b)
(~(~(~((g&~(v)))))>(v>b))
1
0
0
0
entailment
~((((g&g)&((((s>b)|(s>p))|g)>s))>(g>b)))
((s>(~(g)>~(~((p>((~(s)|p)&g))))))|g)
1
1
1
0
entailment
((p&v)&b)
((s>(~(g)>~(~((p>((~(s)|p)&g))))))|g)
0
0
0
0
not entailment
~((((g&g)&((((s>b)|(s>p))|g)>s))>(g>b)))
(~(~(~((g&~(v)))))>(v>b))
0
1
0
0
not entailment
~(~(~((s|(g>~((s>b)))))))
((g|v)|(v&b))
1
1
0
0
entailment
~((s>(b&b)))
(((~(((v&g)>s))&g)>~((g&v)))|p)
1
0
0
0
entailment
~(~(~((s|(g>~((s>b)))))))
(((~(((v&g)>s))&g)>~((g&v)))|p)
0
0
0
0
not entailment
~((s>(b&b)))
((g|v)|(v&b))
0
1
0
0
not entailment
(d&(c>(z>z)))
(d|~((~(w)&(z|((c&c)>z)))))
1
0
0
0
entailment
(~(w)&c)
((c|(~(((z>~(z))|d))|w))|(z|w))
1
0
0
0
entailment
(d&(c>(z>z)))
((c|(~(((z>~(z))|d))|w))|(z|w))
0
0
0
0
not entailment
(~(w)&c)
(d|~((~(w)&(z|((c&c)>z)))))
0
0
0
0
not entailment
~(((w|d)&d))
(d>~(~((z|(c>z)))))
1
0
0
0
entailment
((z>(z&w))&(~((d&z))>~(w)))
((w|(w|d))|(((c&c)>(z|c))&~(z)))
1
0
0
0
entailment
~(((w|d)&d))
((w|(w|d))|(((c&c)>(z|c))&~(z)))
0
0
0
0
not entailment
((z>(z&w))&(~((d&z))>~(w)))
(d>~(~((z|(c>z)))))
0
1
0
0
not entailment
~((d>(((((w&z)&w)|c)>c)&c)))
(~(c)&(d&~(c)))
1
1
1
1
entailment
(c&~(((c&w)&w)))
(((w|w)|((z>d)>c))>c)
1
0
0
0
entailment
~((d>(((((w&z)&w)|c)>c)&c)))
(((w|w)|((z>d)>c))>c)
0
1
1
0
not entailment
(c&~(((c&w)&w)))
(~(c)&(d&~(c)))
0
1
0
0
not entailment
~(((~((~(z)>d))&(d>c))>(z|(c&d))))
((z>c)>(z>w))
1
1
0
0
entailment
(d|((c&w)&z))
((~((z|~(c)))&(w>(c|c)))|(w|d))
1
0
1
0
entailment
~(((~((~(z)>d))&(d>c))>(z|(c&d))))
((~((z|~(c)))&(w>(c|c)))|(w|d))
0
1
0
0
not entailment
(d|((c&w)&z))
((z>c)>(z>w))
0
1
1
0
not entailment
(((w>w)&z)&w)
(~(((w>d)>(~(~((z&d)))|d)))>(d|w))
1
0
0
0
entailment
(c|c)
(c|~(~(c)))
1
0
1
1
entailment
(((w>w)&z)&w)
(c|~(~(c)))
0
1
0
0
not entailment
(c|c)
(~(((w>d)>(~(~((z&d)))|d)))>(d|w))
0
0
0
0
not entailment
(~((w&((c>w)&(w&z))))&w)
((z>w)|~((d>(d>c))))
1
1
0
0
entailment
~((((~(((z|w)>~(d)))>c)&(z|z))>d))
(((c&z)|(w>w))&(d|z))
1
1
1
0
entailment
(~((w&((c>w)&(w&z))))&w)
(((c&z)|(w>w))&(d|z))
0
1
0
0
not entailment
~((((~(((z|w)>~(d)))>c)&(z|z))>d))
((z>w)|~((d>(d>c))))
0
1
1
0
not entailment
~(~(((((w&z)&~(w))&d)|(z&d))))
((((w>w)&d)&(z|z))|((~(d)&(z>w))>(w&c)))
1
0
0
0
entailment
~((~(~((w&d)))|c))
(c>(z>~(z)))
1
1
0
0
entailment
~(~(((((w&z)&~(w))&d)|(z&d))))
(c>(z>~(z)))
0
1
0
0
not entailment
~((~(~((w&d)))|c))
((((w>w)&d)&(z|z))|((~(d)&(z>w))>(w&c)))
0
0
0
0
not entailment
(~(((c>z)>(c|z)))&(~((z>(z&(c>w))))|d))
~(((c&(d|c))|(d>(c&z))))
1
1
1
0
entailment
(z&w)
((z>((z>z)|w))>w)
1
0
1
0
entailment
(~(((c>z)>(c|z)))&(~((z>(z&(c>w))))|d))
((z>((z>z)|w))>w)
0
1
1
0
not entailment
(z&w)
~(((c&(d|c))|(d>(c&z))))
0
0
0
0
not entailment
(~(((w|w)>(w>z)))&((c>~(d))&d))
~(((c&d)|c))
1
1
1
1
entailment
(w&((z>z)&c))
((~((~((z&d))>c))&(z|(d&~(w))))|c)
1
0
0
0
entailment
(~(((w|w)>(w>z)))&((c>~(d))&d))
((~((~((z&d))>c))&(z|(d&~(w))))|c)
0
0
1
0
not entailment
(w&((z>z)&c))
~(((c&d)|c))
0
1
0
0
not entailment
(~(~((c>((w&c)>(c>~(w))))))&((z>w)&d))
((c&(~(d)&z))|((d|~(d))>~(~(d))))
1
1
1
0
entailment
~(((c&((c|w)&d))|(w|z)))
~(((w>~(c))&z))
1
1
1
0
entailment
(~(~((c>((w&c)>(c>~(w))))))&((z>w)&d))
~(((w>~(c))&z))
0
1
1
0
not entailment
~(((c&((c|w)&d))|(w|z)))
((c&(~(d)&z))|((d|~(d))>~(~(d))))
0
0
1
0
not entailment
((w>~(z))>(((c|z)|d)&(d&(z&c))))
(c|(d|w))
1
1
1
1
entailment
~(~(~((z|z))))
(~((z>d))>~((d|(d>(d&(d&w))))))
1
0
0
0
entailment
((w>~(z))>(((c|z)|d)&(d&(z&c))))
(~((z>d))>~((d|(d>(d&(d&w))))))
0
1
1
0
not entailment
~(~(~((z|z))))
(c|(d|w))
0
1
0
0
not entailment
~((((d&w)|(z&w))>(~(z)&w)))
(((d>d)>((z&(d&z))|w))&(d|(z>z)))
1
0
1
0
entailment
(c&(d|~(w)))
((c&d)|~(d))
1
1
1
0
entailment
~((((d&w)|(z&w))>(~(z)&w)))
((c&d)|~(d))
0
1
0
0
not entailment
(c&(d|~(w)))
(((d>d)>((z&(d&z))|w))&(d|(z>z)))
0
0
0
0
not entailment
~((~((d>(z>(z|d))))|(~(w)|~(d))))
(w>d)
1
1
1
0
entailment
(c&((w>(c|c))>w))
(d>c)
1
1
0
0
entailment
~((~((d>(z>(z|d))))|(~(w)|~(d))))
(d>c)
0
1
0
0
not entailment
(c&((w>(c|c))>w))
(w>d)
0
1
0
0
not entailment
(~(d)|(~(z)|w))
(((z&z)&(d&c))>w)
1
1
0
0
entailment
(d&(z|(z|w)))
((((w>(d&(z>c)))>((c&c)&c))|d)|~(z))
1
0
0
0
entailment
(~(d)|(~(z)|w))
((((w>(d&(z>c)))>((c&c)&c))|d)|~(z))
0
0
0
0
not entailment
(d&(z|(z|w)))
(((z&z)&(d&c))>w)
0
0
0
0
not entailment
~((((w|w)|(d|w))>~(~((~(w)>z)))))
~(w)
1
1
1
1
entailment
((w>(w|c))>z)
(((c>d)|(~(w)&((z&c)>c)))>~(~(z)))
1
0
0
0
entailment
~((((w|w)|(d|w))>~(~((~(w)>z)))))
(((c>d)|(~(w)&((z&c)>c)))>~(~(z)))
0
1
0
0
not entailment
((w>(w|c))>z)
~(w)
0
1
1
1
not entailment
((c>c)&d)
((z>d)|~(((z&c)>d)))
1
0
0
0
entailment
(((w&c)|(z>(c|(c&z))))>~((z>(z>c))))
(z|z)
1
1
1
1
entailment
((c>c)&d)
(z|z)
0
1
0
0
not entailment
(((w&c)|(z>(c|(c&z))))>~((z>(z>c))))
((z>d)|~(((z&c)>d)))
0
1
0
0
not entailment
(((u&u)&u)&u)
((u|~(u))>u)
1
1
1
0
entailment
~((u|(u&u)))
((u>~((u&u)))&(((u|~(u))&(u>~(u)))|u))
1
0
1
0
entailment
(((u&u)&u)&u)
((u>~((u&u)))&(((u|~(u))&(u>~(u)))|u))
0
0
1
0
not entailment
~((u|(u&u)))
((u|~(u))>u)
0
1
1
0
not entailment
(u|((u>u)&u))
(~(~(u))|~((u|~(u))))
1
0
1
1
entailment
~(u)
~(~(~(((~(u)>u)&(u|u)))))
1
0
1
1
entailment
(u|((u>u)&u))
~(~(~(((~(u)>u)&(u|u)))))
0
0
1
1
not entailment
~(u)
(~(~(u))|~((u|~(u))))
0
0
1
0
not entailment
(u|u)
((u&u)&u)
1
0
1
1
entailment
(~((u&u))&(u|(u>u)))
~(~(~((((u>u)&(u>u))&~(~(u))))))
1
0
1
1
entailment
(u|u)
~(~(~((((u>u)&(u>u))&~(~(u))))))
0
0
1
0
not entailment
(~((u&u))&(u|(u>u)))
((u&u)&u)
0
1
1
1
not entailment
((((u&u)&u)>(u|u))>~(~((u&(u&u)))))
((u|u)|((u>u)&(u|(u|u))))
1
1
1
1
entailment
~((u&~(~(u))))
~(u)
1
1
1
1
entailment
((((u&u)&u)>(u|u))>~(~((u&(u&u)))))
~(u)
0
1
1
1
not entailment