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
(j|s)
((s|j)|~(~(((~(u)|(l|l))&f))))
1
0
0
0
entailment
(u&(f&a))
((s|j)|~(~(((~(u)|(l|l))&f))))
0
0
0
0
not entailment
(j|s)
(j>u)
0
1
0
0
not entailment
(s&s)
(s|~(((f|(a&s))>s)))
1
0
0
0
entailment
(l&(a>s))
(((u&f)>l)&l)
1
0
0
0
entailment
(s&s)
(((u&f)>l)&l)
0
0
0
0
not entailment
(l&(a>s))
(s|~(((f|(a&s))>s)))
0
0
0
0
not entailment
((f&l)&(((u&j)|j)|s))
(s|~(~((f|(f|(u>(a&(s|l))))))))
1
0
0
0
entailment
(~((~(s)>(~(~(j))&(f|f))))&j)
(((~((j&((u>j)&s)))|a)|a)&(f>a))
1
1
0
0
entailment
((f&l)&(((u&j)|j)|s))
(((~((j&((u>j)&s)))|a)|a)&(f>a))
0
0
0
0
not entailment
(~((~(s)>(~(~(j))&(f|f))))&j)
(s|~(~((f|(f|(u>(a&(s|l))))))))
0
1
0
0
not entailment
(u&(j&f))
((l|u)|a)
1
1
0
0
entailment
((s>l)>((f&s)&l))
((s>((j|l)&j))>s)
1
1
0
0
entailment
(u&(j&f))
((s>((j|l)&j))>s)
0
0
0
0
not entailment
((s>l)>((f&s)&l))
((l|u)|a)
0
1
0
0
not entailment
(f|((f|l)|s))
((u>(s|l))|~(~(f)))
1
0
0
0
entailment
((l>(~(l)>s))>~((~(u)|(f|j))))
~(f)
1
1
1
1
entailment
(f|((f|l)|s))
~(f)
0
1
1
0
not entailment
((l>(~(l)>s))>~((~(u)|(f|j))))
((u>(s|l))|~(~(f)))
0
1
1
0
not entailment
((b>~((z&(i|m))))&~(((i>u)>(u&u))))
(u>y)
1
1
0
0
entailment
((i&~((i&b)))&(z>((m>i)&(z>(b|b)))))
(i|u)
1
1
0
0
entailment
((b>~((z&(i|m))))&~(((i>u)>(u&u))))
(i|u)
0
1
1
0
not entailment
((i&~((i&b)))&(z>((m>i)&(z>(b|b)))))
(u>y)
0
1
0
0
not entailment
~(((b>~(m))>(m|i)))
((y&(~(z)&~(u)))|(i>(m>y)))
1
0
0
0
entailment
(~(z)&f)
(z>((f&m)&f))
1
0
0
0
entailment
~(((b>~(m))>(m|i)))
(z>((f&m)&f))
0
1
0
0
not entailment
(~(z)&f)
((y&(~(z)&~(u)))|(i>(m>y)))
0
0
0
0
not entailment
~((~(b)|~(~((b>z)))))
(((m&u)>(z|b))|b)
1
1
0
0
entailment
((u&y)&~(~(y)))
((f|~((i&z)))>u)
1
1
0
0
entailment
~((~(b)|~(~((b>z)))))
((f|~((i&z)))>u)
0
1
0
0
not entailment
((u&y)&~(~(y)))
(((m&u)>(z|b))|b)
0
1
0
0
not entailment
~(~((m&((z>(z&(f|y)))>(b>(~(f)>u))))))
~(~((~(~((z>m)))&m)))
1
1
1
1
entailment
~((b|b))
(~((b&m))|y)
1
0
0
0
entailment
~(~((m&((z>(z&(f|y)))>(b>(~(f)>u))))))
(~((b&m))|y)
0
1
1
0
not entailment
~((b|b))
~(~((~(~((z>m)))&m)))
0
0
0
0
not entailment
((~(u)|(b&b))&~((((y&z)>m)|(u&z))))
((m&b)>(~(b)|((u>~(u))>~(~(u)))))
1
1
1
0
entailment
~(((y|z)|z))
(z>(b&(y>u)))
1
1
0
0
entailment
((~(u)|(b&b))&~((((y&z)>m)|(u&z))))
(z>(b&(y>u)))
0
1
1
0
not entailment
~(((y|z)|z))
((m&b)>(~(b)|((u>~(u))>~(~(u)))))
0
0
0
0
not entailment
((f&(m|f))&(~(i)&(((m&(b&b))&y)&z)))
((y|u)|(z|i))
1
1
0
0
entailment
~((~((i|f))>((z&b)|z)))
((((b>b)>u)|b)>~(f))
1
1
0
0
entailment
((f&(m|f))&(~(i)&(((m&(b&b))&y)&z)))
((((b>b)>u)|b)>~(f))
0
1
0
0
not entailment
~((~((i|f))>((z&b)|z)))
((y|u)|(z|i))
0
1
0
0
not entailment
~(~((m>f)))
(m>f)
1
1
1
1
entailment
~((~((u&u))|y))
~(~((z|u)))
1
1
0
0
entailment
~(~((m>f)))
~(~((z|u)))
0
1
0
0
not entailment
~((~((u&u))|y))
(m>f)
0
1
0
0
not entailment
(z&(f&(f>i)))
~(~((~((z&~(z)))&f)))
1
0
1
0
entailment
(~((f|y))&z)
((i&y)>u)
1
1
0
0
entailment
(z&(f&(f>i)))
((i&y)>u)
0
1
0
0
not entailment
(~((f|y))&z)
~(~((~((z&~(z)))&f)))
0
0
1
0
not entailment
~(((~(f)|((y|b)|((u|i)|z)))>(m>f)))
(~((u|z))|((u&f)>z))
1
1
1
0
entailment
~((~(((((i&u)|i)&(m>u))&(u|f)))|(y>b)))
((y|f)&(f|(y|b)))
1
1
1
0
entailment
~(((~(f)|((y|b)|((u|i)|z)))>(m>f)))
((y|f)&(f|(y|b)))
0
1
1
0
not entailment
~((~(((((i&u)|i)&(m>u))&(u|f)))|(y>b)))
(~((u|z))|((u&f)>z))
0
1
0
0
not entailment
(m&f)
(b|m)
1
1
0
0
entailment
(~(~(((y>(y&y))|y)))>i)
(i|z)
1
1
0
0
entailment
(m&f)
(i|z)
0
1
0
0
not entailment
(~(~(((y>(y&y))|y)))>i)
(b|m)
0
1
0
0
not entailment
(b&~(f))
(((z|~((b&m)))&z)|(b|i))
1
0
0
0
entailment
~((u|(~(~(y))|f)))
~(((~(i)>u)&u))
1
1
0
0
entailment
(b&~(f))
~(((~(i)>u)&u))
0
0
0
0
not entailment
~((u|(~(~(y))|f)))
(((z|~((b&m)))&z)|(b|i))
0
0
0
0
not entailment
(~(f)&(u&m))
~(f)
1
1
1
1
entailment
~(~(~((z|(f>y)))))
~(((m&z)&u))
1
1
0
0
entailment
(~(f)&(u&m))
~(((m&z)&u))
0
1
0
0
not entailment
~(~(~((z|(f>y)))))
~(f)
0
1
1
0
not entailment
(((f|b)|~(((~(b)|~((m|m)))>y)))&i)
(y>i)
1
1
1
1
entailment
~(i)
((((y|m)&(i&f))|~((y|(y>b))))>(u>y))
1
0
0
0
entailment
(((f|b)|~(((~(b)|~((m|m)))>y)))&i)
((((y|m)&(i&f))|~((y|(y>b))))>(u>y))
0
1
0
0
not entailment
(((j|x)|(c|x))&(d&(c&(j>c))))
((d|(((a|a)>q)&(i>a)))|q)
1
1
0
0
entailment
~((x>i))
(c>x)
1
1
0
0
entailment
(((j|x)|(c|x))&(d&(c&(j>c))))
(c>x)
0
1
1
0
not entailment
~((x>i))
((d|(((a|a)>q)&(i>a)))|q)
0
0
0
0
not entailment
((d>q)>(a&a))
(((~(a)>~(i))>~((d>~(((d&a)|c)))))>d)
1
0
0
0
entailment
((j|(j>(d&i)))>(~(c)&(i&x)))
(j>x)
1
1
1
1
entailment
((d>q)>(a&a))
(j>x)
0
1
0
0
not entailment
((j|(j>(d&i)))>(~(c)&(i&x)))
(((~(a)>~(i))>~((d>~(((d&a)|c)))))>d)
0
0
0
0
not entailment
~(((d>((~(x)|x)>c))|((a&~(c))|c)))
(d|(a|((((~(a)&q)|(q>x))&(i|j))|d)))
1
1
0
0
entailment
(c&~(~((q|d))))
(~(~((~((x&~(a)))>(d&i))))|(x|c))
1
0
0
0
entailment
~(((d>((~(x)|x)>c))|((a&~(c))|c)))
(~(~((~((x&~(a)))>(d&i))))|(x|c))
0
1
0
0
not entailment
(c&~(~((q|d))))
(d|(a|((((~(a)&q)|(q>x))&(i|j))|d)))
0
0
0
0
not entailment
(((((i|a)&x)&x)|(q|((x|d)>q)))&~(~(d)))
((~((d&a))&((a>i)&(q&a)))>(~(~(i))>j))
1
1
0
0
entailment
((~(a)>((a|a)|~(q)))&~((d|c)))
(c>(d>(i|j)))
1
1
0
0
entailment
(((((i|a)&x)&x)|(q|((x|d)>q)))&~(~(d)))
(c>(d>(i|j)))
0
1
0
0
not entailment
((~(a)>((a|a)|~(q)))&~((d|c)))
((~((d&a))&((a>i)&(q&a)))>(~(~(i))>j))
0
0
0
0
not entailment
~(~(((q&j)|((j&q)|((~(a)&c)|j)))))
(~(~((j|(c|x))))|(a>(d&q)))
1
1
0
0
entailment
((~((c>~(x)))>(x|(q|a)))&~(((i|q)|x)))
(~((i>a))>~((i&~(c))))
1
1
1
0
entailment
~(~(((q&j)|((j&q)|((~(a)&c)|j)))))
(~((i>a))>~((i&~(c))))
0
1
0
0
not entailment
((~((c>~(x)))>(x|(q|a)))&~(((i|q)|x)))
(~(~((j|(c|x))))|(a>(d&q)))
0
1
0
0
not entailment
((~((i&c))>~(~(~((a&a)))))&(q|(x>a)))
(a>(c|(((~(i)|(d&x))>~((i&x)))>c)))
1
1
0
0
entailment
(~((q>x))&((a&((a>a)>j))|~(~(x))))
(a|((q&(d&q))>((i>c)>i)))
1
1
0
0
entailment
((~((i&c))>~(~(~((a&a)))))&(q|(x>a)))
(a|((q&(d&q))>((i>c)>i)))
0
1
0
0
not entailment
(~((q>x))&((a&((a>a)>j))|~(~(x))))
(a>(c|(((~(i)|(d&x))>~((i&x)))>c)))
0
1
0
0
not entailment
~((c|((~(i)>i)|(j>d))))
(~((~(a)&~((i>(a|x)))))|j)
1
0
0
0
entailment
~((~(c)|j))
(((q|d)>i)>c)
1
1
0
0
entailment
~((c|((~(i)>i)|(j>d))))
(((q|d)>i)>c)
0
1
0
0
not entailment
~((~(c)|j))
(~((~(a)&~((i>(a|x)))))|j)
0
0
0
0
not entailment
~(((j&i)|(c|d)))
(q>~((q&c)))
1
1
0
0
entailment
~((j>(a&a)))
((j|i)|((~(a)&(((a|j)|a)>q))&q))
1
0
0
0
entailment