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
(t&(p&b))
(p>t)
1
1
1
0
entailment
(((e|o)&v)&((~((k>v))>o)>k))
(p>t)
0
1
0
0
not entailment
(t&(p&b))
(e>v)
0
1
0
0
not entailment
~(((k&(((t|v)&o)|i))|(t>(e|((k>p)|i)))))
(u|t)
1
1
0
0
entailment
((b&((u&t)>v))&(((k|b)&(i&v))&~((u|e))))
(~((((g|o)&v)|o))>(u>(((k|g)>b)&(i>u))))
1
1
0
0
entailment
~(((k&(((t|v)&o)|i))|(t>(e|((k>p)|i)))))
(~((((g|o)&v)|o))>(u>(((k|g)>b)&(i>u))))
0
1
0
0
not entailment
((b&((u&t)>v))&(((k|b)&(i&v))&~((u|e))))
(u|t)
0
1
1
0
not entailment
(~(~((~((p>b))&(k>k))))&(i>(p&v)))
(i>v)
1
1
1
1
entailment
~((b>u))
(o|(t|b))
1
1
0
0
entailment
(~(~((~((p>b))&(k>k))))&(i>(p&v)))
(o|(t|b))
0
1
0
0
not entailment
~((b>u))
(i>v)
0
1
0
0
not entailment
(v&((t>((i>o)>~(((g|u)&t))))>(e&o)))
((b&k)|v)
1
1
0
0
entailment
~(((b&t)>(~(b)|i)))
~(~(~(((i&k)&((t>~(p))>e)))))
1
0
0
0
entailment
(v&((t>((i>o)>~(((g|u)&t))))>(e&o)))
~(~(~(((i&k)&((t>~(p))>e)))))
0
1
0
0
not entailment
~(((b&t)>(~(b)|i)))
((b&k)|v)
0
1
0
0
not entailment
~(((v&(b&u))>((~(i)|~(e))&u)))
((~(u)|v)>((k>((i|p)>b))&v))
1
1
0
0
entailment
((b&g)&(v|(b&(~((v|o))&((i>v)&(i>b))))))
((((g&t)|(o&((p|~(v))|e)))&u)|g)
1
1
0
0
entailment
~(((v&(b&u))>((~(i)|~(e))&u)))
((((g&t)|(o&((p|~(v))|e)))&u)|g)
0
1
0
0
not entailment
((b&g)&(v|(b&(~((v|o))&((i>v)&(i>b))))))
((~(u)|v)>((k>((i|p)>b))&v))
0
1
0
0
not entailment
~((~(t)|(o>i)))
((t|(i|i))|~((((p>t)&i)>(e|b))))
1
0
0
0
entailment
~((u>~(u)))
(~((u&~((e&i))))>~(~((i|v))))
1
0
0
0
entailment
~((~(t)|(o>i)))
(~((u&~((e&i))))>~(~((i|v))))
0
0
0
0
not entailment
~((u>~(u)))
((t|(i|i))|~((((p>t)&i)>(e|b))))
0
0
0
0
not entailment
~(~(~(((v&b)>e))))
~(((e&(~((~(i)|(u&i)))&t))&(e|u)))
1
0
0
0
entailment
((((o>v)&i)&((o>~(i))|(p>b)))&e)
(e|~(u))
1
1
0
0
entailment
~(~(~(((v&b)>e))))
(e|~(u))
0
1
0
0
not entailment
((((o>v)&i)&((o>~(i))|(p>b)))&e)
~(((e&(~((~(i)|(u&i)))&t))&(e|u)))
0
0
0
0
not entailment
(i|o)
((u|o)>(((~(((e&v)&e))|o)|i)|((o>o)>g)))
1
0
0
0
entailment
(b&u)
(e>(p|b))
1
0
0
0
entailment
(i|o)
(e>(p|b))
0
0
0
0
not entailment
(b&u)
((u|o)>(((~(((e&v)&e))|o)|i)|((o>o)>g)))
0
0
0
0
not entailment
~((((v|o)&k)>u))
((~((~(~(g))|~(t)))>k)|e)
1
0
0
0
entailment
((v|o)&v)
(v|(~(~(~(((e&k)|(e|t)))))|(k>v)))
1
0
0
0
entailment
~((((v|o)&k)>u))
(v|(~(~(~(((e&k)|(e|t)))))|(k>v)))
0
0
0
0
not entailment
((v|o)&v)
((~((~(~(g))|~(t)))>k)|e)
0
0
0
0
not entailment
((~((k>o))|u)&((t>i)&i))
(~(((p|o)>g))>((t&e)>((t&o)|i)))
1
0
0
0
entailment
((((~(e)|u)&(t|(u|e)))&(e|e))&u)
(((v|g)&((e|o)|~(e)))>(u&(~((b&e))|e)))
1
0
0
0
entailment
((~((k>o))|u)&((t>i)&i))
(((v|g)&((e|o)|~(e)))>(u&(~((b&e))|e)))
0
0
0
0
not entailment
((((~(e)|u)&(t|(u|e)))&(e|e))&u)
(~(((p|o)>g))>((t&e)>((t&o)|i)))
0
1
0
0
not entailment
~(((u>k)>((k&b)>((~(t)|g)>p))))
(u|b)
1
1
1
0
entailment
~((((e>~(((b>b)|u)))|g)|(p&e)))
(g>p)
1
1
1
0
entailment
~(((u>k)>((k&b)>((~(t)|g)>p))))
(g>p)
0
1
1
0
not entailment
~((((e>~(((b>b)|u)))|g)|(p&e)))
(u|b)
0
1
1
1
not entailment
(o&k)
(k|~((~(v)|~((o>u)))))
1
0
0
0
entailment
(t&~(~(~(v))))
(~((~(~(o))&v))|((g&v)>e))
1
0
0
0
entailment
(o&k)
(~((~(~(o))&v))|((g&v)>e))
0
0
0
0
not entailment
(t&~(~(~(v))))
(k|~((~(v)|~((o>u)))))
0
0
0
0
not entailment
(~(((b&(u&u))|u))&(~((v>i))&(o|v)))
(u>o)
1
1
1
1
entailment
(b&((p&(b>p))&((u>b)>(t|(t>b)))))
(~(b)>(v&~(~((p|u)))))
1
1
0
0
entailment
(~(((b&(u&u))|u))&(~((v>i))&(o|v)))
(~(b)>(v&~(~((p|u)))))
0
1
0
0
not entailment
(b&((p&(b>p))&((u>b)>(t|(t>b)))))
(u>o)
0
1
0
0
not entailment
~((v>((g&(o|t))|((g>(b&p))&i))))
~(~((~((e&~(u)))>~((i&o)))))
1
1
0
0
entailment
(~((k|((o|(b&b))&v)))|((e>g)&t))
((k>t)|t)
1
1
1
1
entailment
~((v>((g&(o|t))|((g>(b&p))&i))))
((k>t)|t)
0
1
0
0
not entailment
(~((k|((o|(b&b))&v)))|((e>g)&t))
~(~((~((e&~(u)))>~((i&o)))))
0
1
0
0
not entailment
~(~(u))
(~(v)>(~(e)>u))
1
0
0
0
entailment
(((((e&b)|u)&i)|(g&((e|t)&i)))&~(p))
(v>(i|~(t)))
1
1
0
0
entailment
~(~(u))
(v>(i|~(t)))
0
0
0
0
not entailment
(((((e&b)|u)&i)|(g&((e|t)&i)))&~(p))
(~(v)>(~(e)>u))
0
1
0
0
not entailment
~((((k&e)|(g&e))>(v>~(p))))
~(~((b|p)))
1
1
0
0
entailment
~((((k>(u>~(((v>~(v))>k))))&~(v))|v))
(b>((p&v)>g))
1
1
0
0
entailment
~((((k&e)|(g&e))>(v>~(p))))
(b>((p&v)>g))
0
1
0
0
not entailment
~((((k>(u>~(((v>~(v))>k))))&~(v))|v))
~(~((b|p)))
0
1
0
0
not entailment
~(i)
(~((((w|w)>(w>i))&i))&~(i))
1
0
0
0
entailment
~((s|a))
((w&a)>z)
1
1
0
0
entailment
~(i)
((w&a)>z)
0
0
0
0
not entailment
~((s|a))
(~((((w|w)>(w>i))&i))&~(i))
0
0
0
0
not entailment
((s&a)&t)
((a|~((i|w)))|(x>a))
1
0
0
0
entailment
~((((x>z)|((t>i)|(a>z)))>s))
((z|~(((i&((i&(x>(t|z)))&s))>t)))>~(s))
1
0
1
0
entailment
((s&a)&t)
((z|~(((i&((i&(x>(t|z)))&s))>t)))>~(s))
0
0
0
0
not entailment
~((((x>z)|((t>i)|(a>z)))>s))
((a|~((i|w)))|(x>a))
0
1
0
0
not entailment
~((a>(t>((s>i)|~(w)))))
((z&a)|(t|s))
1
1
0
0
entailment
~(((i|i)>s))
((w>s)>i)
1
1
0
0
entailment
~((a>(t>((s>i)|~(w)))))
((w>s)>i)
0
1
1
0
not entailment
~(((i|i)>s))
((z&a)|(t|s))
0
1
0
0
not entailment
(i&((a|(i&z))|i))
((x|((i|w)|z))|(a>x))
1
0
0
0
entailment
~((t>(z&x)))
((t&w)|(~(a)>t))
1
0
0
0
entailment
(i&((a|(i&z))|i))
((t&w)|(~(a)>t))
0
1
0
0
not entailment
~((t>(z&x)))
((x|((i|w)|z))|(a>x))
0
0
0
0
not entailment
~((((s&z)|t)|((i>t)&(i>z))))
((z>i)|(i|t))
1
1
1
0
entailment
~((a>w))
~(~(((a|z)|z)))
1
0
0
0
entailment
~((((s&z)|t)|((i>t)&(i>z))))
~(~(((a|z)|z)))
0
1
0
0
not entailment
~((a>w))
((z>i)|(i|t))
0
0
0
0
not entailment
~(t)
~(((s&t)&~((z&t))))
1
0
0
0
entailment
(i&(s|w))
((z&(w&~(i)))>~((w|t)))
1
0
0
0
entailment
~(t)
((z&(w&~(i)))>~((w|t)))
0
0
0
0
not entailment
(i&(s|w))
~(((s&t)&~((z&t))))
0
0
0
0
not entailment
(i&(a&~((~(s)>(a>z)))))
(a|a)
1
1
1
1
entailment
((t>x)&(~((~(z)>(a&t)))&x))
(((a&(s|t))&i)>((i&(a|w))>~(((a&a)&t))))
1
0
0
0
entailment
(i&(a&~((~(s)>(a>z)))))
(((a&(s|t))&i)>((i&(a|w))>~(((a&a)&t))))
0
0
0
0
not entailment
((t>x)&(~((~(z)>(a&t)))&x))
(a|a)
0
1
1
0
not entailment
~(~(((a&i)&z)))
((a|(~(t)|~(~((z|(t>s))))))&(z>(a&i)))
1
0
0
0
entailment
~(w)
~(~((a>~(~(~(w))))))
1
0
0
0
entailment
~(~(((a&i)&z)))
~(~((a>~(~(~(w))))))
0
0
0
0
not entailment
~(w)
((a|(~(t)|~(~((z|(t>s))))))&(z>(a&i)))
0
0
0
0
not entailment
(~(~(((t|~((~(x)|t)))|((s|a)&a))))>a)
~(((x&(s>~(i)))&~(a)))
1
1
0
0
entailment
((w&x)&(~(x)|t))
((w|w)>((x|(a|z))|~((s>w))))
1
0
0
0
entailment
(~(~(((t|~((~(x)|t)))|((s|a)&a))))>a)
((w|w)>((x|(a|z))|~((s>w))))
0
1
0
0
not entailment
((w&x)&(~(x)|t))
~(((x&(s>~(i)))&~(a)))
0
0
0
0
not entailment
(((z&t)|~(~(t)))&~(((x>i)>i)))
((s&x)>~(~((i&(~(a)|((t&x)&x))))))
1
0
0
0
entailment