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
((n&((k>g)|(k|z)))&(c&(f&c)))
(n|(l>f))
1
1
0
0
entailment
~(~(~(((g&t)|c))))
~((~(~(c))&f))
1
1
0
0
entailment
((n&((k>g)|(k|z)))&(c&(f&c)))
~((~(~(c))&f))
0
1
1
0
not entailment
~(~(~(((g&t)|c))))
(n|(l>f))
0
1
0
0
not entailment
~(~((~(c)&(r&((r>n)|c)))))
((~(n)&g)|(((c&f)>g)&((r|r)&(r|r))))
1
0
0
0
entailment
(c&~(~((((g|(c|(f&k)))>k)|~(f)))))
(((z>z)&((k>f)&n))>c)
1
1
0
0
entailment
~(~((~(c)&(r&((r>n)|c)))))
(((z>z)&((k>f)&n))>c)
0
1
0
0
not entailment
(c&~(~((((g|(c|(f&k)))>k)|~(f)))))
((~(n)&g)|(((c&f)>g)&((r|r)&(r|r))))
0
1
0
0
not entailment
((t&g)&~(~(~((n|z)))))
((z>(f&g))&((c&k)|(c|t)))
1
1
0
0
entailment
(((c&c)&~((~(t)>l)))&(f&k))
((f&t)>(l|n))
1
1
0
0
entailment
((t&g)&~(~(~((n|z)))))
((f&t)>(l|n))
0
1
0
0
not entailment
(((c&c)&~((~(t)>l)))&(f&k))
((z>(f&g))&((c&k)|(c|t)))
0
1
0
0
not entailment
~(k)
(~(((f>((k&f)&~(f)))|t))>(t|((k&l)>c)))
1
0
0
0
entailment
(((z>(r&r))>~(~(~((c>g)))))&~((l>c)))
(l|c)
1
1
1
1
entailment
~(k)
(l|c)
0
1
0
0
not entailment
(((z>(r&r))>~(~(~((c>g)))))&~((l>c)))
(~(((f>((k&f)&~(f)))|t))>(t|((k&l)>c)))
0
1
0
0
not entailment
((c&(l&g))&(((f>z)|l)&(r>(c>t))))
(l>g)
1
1
1
0
entailment
(c&z)
(z|t)
1
1
0
0
entailment
((c&(l&g))&(((f>z)|l)&(r>(c>t))))
(z|t)
0
1
1
1
not entailment
(c&z)
(l>g)
0
1
0
0
not entailment
(n&l)
(z>(n>(l&z)))
1
0
0
0
entailment
((((c|f)|~((g>k)))>(z>z))&t)
(t|((l>g)&n))
1
1
0
0
entailment
(n&l)
(t|((l>g)&n))
0
0
0
0
not entailment
((((c|f)|~((g>k)))>(z>z))&t)
(z>(n>(l&z)))
0
1
0
0
not entailment
(c|l)
(((r>l)|c)|(k|((c&n)&r)))
1
0
0
0
entailment
~(g)
~((((f&(c>t))|~((r|f)))&((g&z)&c)))
1
0
0
0
entailment
(c|l)
~((((f&(c>t))|~((r|f)))&((g&z)&c)))
0
0
0
0
not entailment
~(g)
(((r>l)|c)|(k|((c&n)&r)))
0
0
0
0
not entailment
~((n>~(k)))
(~(~((f&c)))|(n|r))
1
0
0
0
entailment
(((g&l)&~(k))&~((~(~((z|g)))&(f>k))))
(g>((k>z)>((t&t)>f)))
1
1
0
0
entailment
~((n>~(k)))
(g>((k>z)>((t&t)>f)))
0
0
0
0
not entailment
(((g&l)&~(k))&~((~(~((z|g)))&(f>k))))
(~(~((f&c)))|(n|r))
0
1
0
0
not entailment
~(~(((g>l)&f)))
~((~(f)&(((z|k)>g)|t)))
1
0
0
0
entailment
(g&(~(k)>(~(c)>r)))
(z>g)
1
1
0
0
entailment
~(~(((g>l)&f)))
(z>g)
0
1
0
0
not entailment
(g&(~(k)>(~(c)>r)))
~((~(f)&(((z|k)>g)|t)))
0
0
0
0
not entailment
~((k|~((~((t&(t|f)))&n))))
(t>((k|c)>~(l)))
1
1
0
0
entailment
~(((r>g)>(z|c)))
(~(z)|c)
1
1
1
0
entailment
~((k|~((~((t&(t|f)))&n))))
(~(z)|c)
0
1
0
0
not entailment
~(((r>g)>(z|c)))
(t>((k|c)>~(l)))
0
1
0
0
not entailment
(f&(l>(((r&k)>(k|(l|c)))|~(c))))
(f|n)
1
1
0
0
entailment
~(((g&(r|t))>f))
(~(f)|~(~(~(((g&r)|f)))))
1
0
1
0
entailment
(f&(l>(((r&k)>(k|(l|c)))|~(c))))
(~(f)|~(~(~(((g&r)|f)))))
0
1
0
0
not entailment
~(((g&(r|t))>f))
(f|n)
0
1
0
0
not entailment
(x&~((z&z)))
((((x>z)|(z|(x&x)))&(x|x))|x)
1
0
1
0
entailment
(~(x)&(x|z))
(z|~((x|z)))
1
1
1
0
entailment
(x&~((z&z)))
(z|~((x|z)))
0
1
1
0
not entailment
(~(x)&(x|z))
((((x>z)|(z|(x&x)))&(x|x))|x)
0
0
1
1
not entailment
(((z&z)|(z|z))|(~((x>x))&~(x)))
~(~(z))
1
1
1
1
entailment
~(~((x|(x&~(z)))))
((x&((x>z)&(z&z)))|(x|((z&x)&(z>x))))
1
0
1
0
entailment
(((z&z)|(z|z))|(~((x>x))&~(x)))
((x&((x>z)&(z&z)))|(x|((z&x)&(z>x))))
0
0
1
0
not entailment
~(~((x|(x&~(z)))))
~(~(z))
0
1
1
0
not entailment
~(~((x|((x>x)&(x|x)))))
(((x&x)|x)&(x>(~((~(x)&~(x)))&x)))
1
0
1
1
entailment
((~((~((z&x))|x))&x)|z)
((z>(x>x))&(z&(z>(z|z))))
1
1
1
0
entailment
~(~((x|((x>x)&(x|x)))))
((z>(x>x))&(z&(z>(z|z))))
0
1
0
0
not entailment
((~((~((z&x))|x))&x)|z)
(((x&x)|x)&(x>(~((~(x)&~(x)))&x)))
0
0
1
1
not entailment
(((z|((z>z)&~(x)))>(z>x))&x)
(x&((x>(((z>x)|(((z&(x&x))&z)>z))|z))&x))
1
0
1
0
entailment
((z&(z>z))&(~(z)>~(z)))
(z&(z|z))
1
1
1
1
entailment
(((z|((z>z)&~(x)))>(z>x))&x)
(z&(z|z))
0
1
1
1
not entailment
((z&(z>z))&(~(z)>~(z)))
(x&((x>(((z>x)|(((z&(x&x))&z)>z))|z))&x))
0
0
0
0
not entailment
((~(((z>((z|x)|x))&z))&~(z))>x)
((x&x)|~(~(((z>z)>z))))
1
1
1
1
entailment
(~(z)&(~((z|x))|(z&z)))
((z&(~(x)|(x&x)))>(((x|z)|z)&~(x)))
1
0
1
0
entailment
((~(((z>((z|x)|x))&z))&~(z))>x)
((z&(~(x)|(x&x)))>(((x|z)|z)&~(x)))
0
0
1
0
not entailment
(~(z)&(~((z|x))|(z&z)))
((x&x)|~(~(((z>z)>z))))
0
1
1
0
not entailment
((z>z)>(x&z))
(z&(~(~((x&(z&x))))|(x>(x&z))))
1
0
1
0
entailment
(x&~(((x&z)&z)))
((x>((z&x)&((z&z)>z)))>~(z))
1
0
1
0
entailment
((z>z)>(x&z))
((x>((z&x)&((z&z)>z)))>~(z))
0
0
1
0
not entailment
(x&~(((x&z)&z)))
(z&(~(~((x&(z&x))))|(x>(x&z))))
0
0
1
0
not entailment
~(~(((x&z)&(x&z))))
(x&(~(~(~(~(x))))|(z&x)))
1
0
1
1
entailment
((z&((~(z)|z)&~(z)))|~(x))
(x>~((z>z)))
1
1
1
1
entailment
~(~(((x&z)&(x&z))))
(x>~((z>z)))
0
1
1
0
not entailment
((z&((~(z)|z)&~(z)))|~(x))
(x&(~(~(~(~(x))))|(z&x)))
0
1
1
0
not entailment
(z|((z>((~((z|((z>x)&x)))&x)|x))&x))
(z|x)
1
1
1
1
entailment
(((z>(z&(x&z)))>x)>(~(x)&(x>z)))
(~(x)|~(z))
1
1
1
1
entailment
(z|((z>((~((z|((z>x)&x)))&x)|x))&x))
(~(x)|~(z))
0
1
1
1
not entailment
(((z>(z&(x&z)))>x)>(~(x)&(x>z)))
(z|x)
0
1
1
1
not entailment
~(~((x|x)))
~((x>(x&~((((x>x)|x)&(x>x))))))
1
0
1
0
entailment
~((((z&x)|x)|z))
((((x>x)>z)|~((z>z)))|~(~(~(x))))
1
0
1
0
entailment
~(~((x|x)))
((((x>x)>z)|~((z>z)))|~(~(~(x))))
0
0
0
0
not entailment
~((((z&x)|x)|z))
~((x>(x&~((((x>x)|x)&(x>x))))))
0
0
1
0
not entailment
(k&(~((c&c))&b))
(b>(k|c))
1
1
1
0
entailment
(~((~(b)>c))|(b>y))
(((c>k)>(b&((b>y)>m)))>(k>y))
1
0
0
0
entailment
(k&(~((c&c))&b))
(((c>k)>(b&((b>y)>m)))>(k>y))
0
0
0
0
not entailment
(~((~(b)>c))|(b>y))
(b>(k|c))
0
1
0
0
not entailment
((c&((~((c|k))>k)>k))&((m|a)>~((y|k))))
(k&(k&(m|c)))
1
1
1
0
entailment
(m&(~(~(~((b>(a|y)))))>y))
(a|((b>y)|((h&y)|(h&b))))
1
1
0
0
entailment
((c&((~((c|k))>k)>k))&((m|a)>~((y|k))))
(a|((b>y)|((h&y)|(h&b))))
0
1
0
0
not entailment
(m&(~(~(~((b>(a|y)))))>y))
(k&(k&(m|c)))
0
1
0
0
not entailment
(~(a)&c)
((~((((k>k)|y)>(m|m)))&b)>c)
1
0
0
0
entailment
~((y>~(~(~((b>(~(h)|(y|(h>c)))))))))
(((m&(b>b))&(~(((m>m)&~(h)))|a))>y)
1
1
0
0
entailment
(~(a)&c)
(((m&(b>b))&(~(((m>m)&~(h)))|a))>y)
0
0
0
0
not entailment
~((y>~(~(~((b>(~(h)|(y|(h>c)))))))))
((~((((k>k)|y)>(m|m)))&b)>c)
0
1
0
0
not entailment
((y>h)>m)
((a>(m|y))|(y|b))
1
0
0
0
entailment
~(((y&k)|~(a)))
((k>(c|y))|(a|(h&(b|(h>k)))))
1
0
0
0
entailment
((y>h)>m)
((k>(c|y))|(a|(h&(b|(h>k)))))
0
0
0
0
not entailment
~(((y&k)|~(a)))
((a>(m|y))|(y|b))
0
1
0
0
not entailment
((((c|a)|m)|(((a&a)&b)>h))>y)
((((b>b)>a)|(c&m))|(y|c))
1
1
1
0
entailment
~((((k|m)>(b&a))|m))
~(~((~(b)|~(((a&h)|m)))))
1
0
0
0
entailment
((((c|a)|m)|(((a&a)&b)>h))>y)
~(~((~(b)|~(((a&h)|m)))))
0
1
1
0
not entailment
~((((k|m)>(b&a))|m))
((((b>b)>a)|(c&m))|(y|c))
0
0
0
0
not entailment