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
~(v)
(v>~(~(((z&~(~((v&b))))&f))))
1
0
0
0
entailment
(t&((l&(b&a))&b))
(v>~(~(((z&~(~((v&b))))&f))))
0
0
0
0
not entailment
~(v)
(z|a)
0
1
0
0
not entailment
~(b)
((t|(~(((l|(p&a))>~(v)))&b))>(~(z)>t))
1
0
0
0
entailment
(v&a)
(t|((p>a)|(t|l)))
1
0
0
0
entailment
~(b)
(t|((p>a)|(t|l)))
0
0
0
0
not entailment
(v&a)
((t|(~(((l|(p&a))>~(v)))&b))>(~(z)>t))
0
0
0
0
not entailment
((((t&b)&~(~(l)))|t)&~(v))
(((t|(b|t))|(z>p))>((p>a)|((b>t)&t)))
1
0
0
0
entailment
~((l>(f>v)))
(((((z&p)&b)|t)|(v&~(l)))>f)
1
0
0
0
entailment
((((t&b)&~(~(l)))|t)&~(v))
(((((z&p)&b)|t)|(v&~(l)))>f)
0
1
0
0
not entailment
~((l>(f>v)))
(((t|(b|t))|(z>p))>((p>a)|((b>t)&t)))
0
0
0
0
not entailment
~((~(a)|l))
((v>a)|(z|p))
1
1
0
0
entailment
~(((((t>(f>a))&v)&((l&z)|l))>~(~(f))))
~(((z&p)&f))
1
1
0
0
entailment
~((~(a)|l))
~(((z&p)&f))
0
1
0
0
not entailment
~(((((t>(f>a))&v)&((l&z)|l))>~(~(f))))
((v>a)|(z|p))
0
1
0
0
not entailment
((((((z&t)>(z>a))>t)|(t&v))|p)|v)
((a|(p|a))|(~((v|(p|t)))>((p|l)&(b>f))))
1
0
0
0
entailment
~((p|b))
((f>t)>(p>(b>f)))
1
0
0
0
entailment
((((((z&t)>(z>a))>t)|(t&v))|p)|v)
((f>t)>(p>(b>f)))
0
1
0
0
not entailment
~((p|b))
((a|(p|a))|(~((v|(p|t)))>((p|l)&(b>f))))
0
0
0
0
not entailment
~(((l|b)|(v|~(t))))
((f&(z&l))>~(z))
1
1
0
0
entailment
~(a)
(~(((v|p)|l))|((f&a)>(b&(~(f)|f))))
1
0
0
0
entailment
~(((l|b)|(v|~(t))))
(~(((v|p)|l))|((f&a)>(b&(~(f)|f))))
0
0
0
0
not entailment
~(a)
((f&(z&l))>~(z))
0
0
0
0
not entailment
(~((l>(z|f)))&~(~(((z&t)|((a|l)>v)))))
(l|p)
1
1
0
0
entailment
((f&b)&(t>z))
((b>t)>((b&(~(p)>t))|(p>f)))
1
0
0
0
entailment
(~((l>(z|f)))&~(~(((z&t)|((a|l)>v)))))
((b>t)>((b&(~(p)>t))|(p>f)))
0
1
0
0
not entailment
((f&b)&(t>z))
(l|p)
0
1
0
0
not entailment
((z>t)&(a>b))
(((z&l)|((z|v)>t))|(t|~(~(v))))
1
0
0
0
entailment
~(((l|p)>(p&(t|b))))
(((t&f)>v)|(l|(z&v)))
1
1
0
0
entailment
((z>t)&(a>b))
(((t&f)>v)|(l|(z&v)))
0
0
0
0
not entailment
~(((l|p)>(p&(t|b))))
(((z&l)|((z|v)>t))|(t|~(~(v))))
0
0
0
0
not entailment
((p>f)&(((l|l)&z)&((v&a)|v)))
((b|v)|(p&l))
1
1
0
0
entailment
(~(((~(f)|a)&~((((p>t)|b)|z))))&(f&z))
((((t&f)|b)&l)|f)
1
1
0
0
entailment
((p>f)&(((l|l)&z)&((v&a)|v)))
((((t&f)|b)&l)|f)
0
1
0
0
not entailment
(~(((~(f)|a)&~((((p>t)|b)|z))))&(f&z))
((b|v)|(p&l))
0
1
0
0
not entailment
((~(t)&f)&(((v&l)>(b&(~(t)|(l&p))))&v))
(~(~(((~(a)>t)>(b>~(t)))))|(v&v))
1
1
0
0
entailment
~(((l&b)|((a|(b&v))|(z>l))))
((~(~((z|(a>t))))&p)>z)
1
1
0
0
entailment
((~(t)&f)&(((v&l)>(b&(~(t)|(l&p))))&v))
((~(~((z|(a>t))))&p)>z)
0
1
0
0
not entailment
~(((l&b)|((a|(b&v))|(z>l))))
(~(~(((~(a)>t)>(b>~(t)))))|(v&v))
0
0
0
0
not entailment
~((((l|t)|((t|f)>f))>f))
(~((l|(b&b)))|((((b&b)>z)&p)|~(f)))
1
0
0
0
entailment
(~(((((v|t)|p)&~((b>(b|(l&a)))))>p))|a)
(a|(p&a))
1
1
1
1
entailment
~((((l|t)|((t|f)>f))>f))
(a|(p&a))
0
1
0
0
not entailment
(~(((((v|t)|p)&~((b>(b|(l&a)))))>p))|a)
(~((l|(b&b)))|((((b&b)>z)&p)|~(f)))
0
1
0
0
not entailment
((l|~(i))>~(((j>i)>(d|q))))
(~((((n|(l|(x&l)))&(l&j))|i))|((n|x)>i))
1
0
0
0
entailment
(n&y)
((~(d)>((n|x)>i))>((q>y)|n))
1
0
0
0
entailment
((l|~(i))>~(((j>i)>(d|q))))
((~(d)>((n|x)>i))>((q>y)|n))
0
1
0
0
not entailment
(n&y)
(~((((n|(l|(x&l)))&(l&j))|i))|((n|x)>i))
0
0
0
0
not entailment
~((i|((j&i)|d)))
~(((x>~((n|n)))&i))
1
0
0
0
entailment
~(~(~((((q>l)|x)|(d&d)))))
(x|q)
1
1
1
0
entailment
~((i|((j&i)|d)))
(x|q)
0
1
0
0
not entailment
~(~(~((((q>l)|x)|(d&d)))))
~(((x>~((n|n)))&i))
0
1
0
0
not entailment
(~((~(x)|j))&((q|(x&i))|(y>(l&(n|n)))))
((x&x)|(d|x))
1
1
0
0
entailment
(((n&l)&(y|i))&~((~(~((j>l)))&x)))
((((y&q)>q)|~((j|l)))>(n>(l&n)))
1
1
0
0
entailment
(~((~(x)|j))&((q|(x&i))|(y>(l&(n|n)))))
((((y&q)>q)|~((j|l)))>(n>(l&n)))
0
1
1
0
not entailment
(((n&l)&(y|i))&~((~(~((j>l)))&x)))
((x&x)|(d|x))
0
1
0
0
not entailment
(i|((i&~(q))&(y>j)))
(i|(x&q))
1
1
0
0
entailment
~((i|j))
((j|(n&d))>d)
1
0
0
0
entailment
(i|((i&~(q))&(y>j)))
((j|(n&d))>d)
0
1
0
0
not entailment
~((i|j))
(i|(x&q))
0
1
0
0
not entailment
(x&n)
((n&(~(j)|(i|n)))|((q&~(d))|l))
1
0
0
0
entailment
~((n|(y|n)))
((q>(((y>y)&x)>(n>d)))|j)
1
0
0
0
entailment
(x&n)
((q>(((y>y)&x)>(n>d)))|j)
0
0
0
0
not entailment
~((n|(y|n)))
((n&(~(j)|(i|n)))|((q&~(d))|l))
0
0
0
0
not entailment
((~(l)>~(~(~((q|(n&y))))))&j)
((y>((q>n)&n))>~((~((d|l))&q)))
1
1
0
0
entailment
(~(~(~(((q&(q&q))>(x>~(q))))))&~(i))
((((n>j)|n)|i)&q)
1
1
0
0
entailment
((~(l)>~(~(~((q|(n&y))))))&j)
((((n>j)|n)|i)&q)
0
1
0
0
not entailment
(~(~(~(((q&(q&q))>(x>~(q))))))&~(i))
((y>((q>n)&n))>~((~((d|l))&q)))
0
1
0
0
not entailment
(j&n)
(i>j)
1
1
0
0
entailment
(~((d>(q&x)))&(j|(n>x)))
~(~(d))
1
1
1
1
entailment
(j&n)
~(~(d))
0
0
0
0
not entailment
(~((d>(q&x)))&(j|(n>x)))
(i>j)
0
1
0
0
not entailment
~(((y|(l>n))|x))
(~((j|(j|x)))>(((q|(i>x))>j)|l))
1
0
0
0
entailment
((x&~(j))|(d|d))
(d|~(j))
1
1
1
1
entailment
~(((y|(l>n))|x))
(d|~(j))
0
1
0
0
not entailment
((x&~(j))|(d|d))
(~((j|(j|x)))>(((q|(i>x))>j)|l))
0
0
0
0
not entailment
~((((y>(j|j))&~(y))>~(j)))
(((i|(~(d)&i))>((~((l>l))|x)&(d>n)))|j)
1
0
0
0
entailment
~(((d|i)>(n>(~((l&d))>d))))
(((y>l)|q)>i)
1
1
0
0
entailment
~((((y>(j|j))&~(y))>~(j)))
(((y>l)|q)>i)
0
1
0
0
not entailment
~(((d|i)>(n>(~((l&d))>d))))
(((i|(~(d)&i))>((~((l>l))|x)&(d>n)))|j)
0
0
0
0
not entailment
(((j&d)>n)>(n&(d>(d>(j|i)))))
(~(((((n&j)|j)>(l|x))|x))|(n|(d|d)))
1
0
0
0
entailment
~((~(((y>d)>q))|q))
(d>i)
1
1
0
0
entailment
(((j&d)>n)>(n&(d>(d>(j|i)))))
(d>i)
0
1
1
1
not entailment
~((~(((y>d)>q))|q))
(~(((((n&j)|j)>(l|x))|x))|(n|(d|d)))
0
0
0
0
not entailment
(~((i&d))&~((q>~(i))))
(~(d)|i)
1
1
1
1
entailment
((~(j)&y)&(((x|i)&d)&d))
(l>(y|j))
1
1
0
0
entailment
(~((i&d))&~((q>~(i))))
(l>(y|j))
0
1
0
0
not entailment
((~(j)&y)&(((x|i)&d)&d))
(~(d)|i)
0
1
1
0
not entailment
((j&l)&((((l|y)&q)&~(d))|(y&(n&n))))
((d>(q|(l>(q|d))))&l)
1
1
1
0
entailment
~(~((n&~(d))))
~((d|d))
1
1
1
1
entailment
((j&l)&((((l|y)&q)&~(d))|(y&(n&n))))
~((d|d))
0
1
1
1
not entailment
~(~((n&~(d))))
((d>(q|(l>(q|d))))&l)
0
0
0
0
not entailment
(l&(~(q)|d))
(l|(x>y))
1
1
0
0
entailment
~(((j>y)|n))
~((l&(n&q)))
1
1
0
0
entailment
(l&(~(q)|d))
~((l&(n&q)))
0
1
0
0
not entailment
~(((j>y)|n))
(l|(x>y))
0
1
0
0
not entailment
((x&((j>x)&x))&(l&~((y>~((l|l))))))
(((y>l)>((~(y)>(d&l))>(x|d)))|(n&(j&n)))
1
0
0
0
entailment
((n&(d>d))|(n&j))
(n&n)
1
1
1
1
entailment
((x&((j>x)&x))&(l&~((y>~((l|l))))))
(n&n)
0
1
0
0
not entailment
((n&(d>d))|(n&j))
(((y>l)>((~(y)>(d&l))>(x|d)))|(n&(j&n)))
0
0
0
0
not entailment
(~((i|x))&~(d))
((y|(i>(x|x)))|~((d&(i&i))))
1
0
0
0
entailment