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 |
|---|---|---|---|---|---|---|
~((((f&m)|l)|f))
|
~((f|f))
| 1 | 1 | 1 | 1 |
entailment
|
(~(((l>m)&l))>l)
|
~((f|f))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f&m)|l)|f))
|
(l|(f|l))
| 0 | 1 | 1 | 0 |
not entailment
|
((((~(m)|(m|m))|f)>(f&l))|(l|l))
|
(l&((l|l)|~(f)))
| 1 | 1 | 1 | 1 |
entailment
|
(f&(l|m))
|
((l&m)>(l>f))
| 1 | 0 | 1 | 0 |
entailment
|
((((~(m)|(m|m))|f)>(f&l))|(l|l))
|
((l&m)>(l>f))
| 0 | 1 | 1 | 0 |
not entailment
|
(f&(l|m))
|
(l&((l|l)|~(f)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(m)
|
((l|(f&f))|~(m))
| 1 | 0 | 0 | 0 |
entailment
|
((((m>f)|m)|f)>m)
|
~((~((m|(~(l)&(l|(f&m)))))&(l>f)))
| 1 | 0 | 0 | 0 |
entailment
|
~(m)
|
~((~((m|(~(l)&(l|(f&m)))))&(l>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((m>f)|m)|f)>m)
|
((l|(f&f))|~(m))
| 0 | 1 | 0 | 0 |
not entailment
|
((f|(~(l)|~(f)))&l)
|
((m|l)|m)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((l|f))|l))
|
((l&~(f))|((f|m)>(l>m)))
| 1 | 0 | 0 | 0 |
entailment
|
((f|(~(l)|~(f)))&l)
|
((l&~(f))|((f|m)>(l>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((l|f))|l))
|
((m|l)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(z&((~(b)&(p|j))&(w&z)))
|
((w&~(b))|((o|w)>(~(s)>((o&s)|p))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((b&(f&s))>(s&(f&b)))>(i|(t|b))))
|
(i>j)
| 1 | 1 | 0 | 0 |
entailment
|
(z&((~(b)&(p|j))&(w&z)))
|
(i>j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((b&(f&s))>(s&(f&b)))>(i|(t|b))))
|
((w&~(b))|((o|w)>(~(s)>((o&s)|p))))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(j&i))
|
(((p>~(f))>(f&t))|(w|(i&j)))
| 1 | 0 | 0 | 0 |
entailment
|
~((t|(((f>j)>t)|b)))
|
((z&t)>((p|((b&(b>f))>j))&w))
| 1 | 0 | 0 | 0 |
entailment
|
(f&(j&i))
|
((z&t)>((p|((b&(b>f))>j))&w))
| 0 | 0 | 0 | 0 |
not entailment
|
~((t|(((f>j)>t)|b)))
|
(((p>~(f))>(f&t))|(w|(i&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w|(f>b))&~(((o&w)>(~(f)|t))))
|
(~(p)|((w>f)|(z&(i&p))))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((~(~(w))>~((o>s)))>i))|o))
|
~((o&~(j)))
| 1 | 1 | 0 | 0 |
entailment
|
((w|(f>b))&~(((o&w)>(~(f)|t))))
|
~((o&~(j)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((~(~(w))>~((o>s)))>i))|o))
|
(~(p)|((w>f)|(z&(i&p))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(p)>(j&((f>i)>p)))&~((j>(t>(s>i)))))
|
((f>~(~((i&(f>~(t))))))>((o|j)|i))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(f)>(i&f))|i))
|
((((t|w)&(w|((p>t)>i)))|(f>o))&~(f))
| 1 | 0 | 0 | 0 |
entailment
|
((~(p)>(j&((f>i)>p)))&~((j>(t>(s>i)))))
|
((((t|w)&(w|((p>t)>i)))|(f>o))&~(f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(f)>(i&f))|i))
|
((f>~(~((i&(f>~(t))))))>((o|j)|i))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&z)
|
((((b&i)|b)&(i>i))|z)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((s&w)&t))&(s&t))
|
(s&(t>s))
| 1 | 1 | 1 | 1 |
entailment
|
(f&z)
|
(s&(t>s))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((s&w)&t))&(s&t))
|
((((b&i)|b)&(i>i))|z)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~((s&t))&z)&j)&o)|z)
|
(((s|(j|i))&z)|~((j&((t>z)>~((i|z))))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(z|(~(p)|i)))
|
((p|(s&j))|((b>(w>(p|t)))|j))
| 1 | 0 | 0 | 0 |
entailment
|
((((~((s&t))&z)&j)&o)|z)
|
((p|(s&j))|((b>(w>(p|t)))|j))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(z|(~(p)|i)))
|
(((s|(j|i))&z)|~((j&((t>z)>~((i|z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(j)
|
((t>((f&j)>((z|t)&o)))|b)
| 1 | 0 | 0 | 0 |
entailment
|
(j&w)
|
(j|~((b&~(s))))
| 1 | 0 | 0 | 0 |
entailment
|
~(j)
|
(j|~((b&~(s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&w)
|
((t>((f&j)>((z|t)&o)))|b)
| 0 | 0 | 0 | 0 |
not entailment
|
(j&((f&i)&s))
|
(f|(f|s))
| 1 | 1 | 1 | 1 |
entailment
|
~(((z|(j>(((i|i)>w)&b)))|(s&j)))
|
(~(t)>((z|~(s))|o))
| 1 | 1 | 0 | 0 |
entailment
|
(j&((f&i)&s))
|
(~(t)>((z|~(s))|o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z|(j>(((i|i)>w)&b)))|(s&j)))
|
(f|(f|s))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((j&f)|(f|p)))&w)
|
((t|~(t))&(t|(j|w)))
| 1 | 1 | 0 | 0 |
entailment
|
~(j)
|
~(((w|w)&j))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((j&f)|(f|p)))&w)
|
~(((w|w)&j))
| 0 | 1 | 1 | 0 |
not entailment
|
~(j)
|
((t|~(t))&(t|(j|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((b|b))
|
~(~(((j>~(f))|(~((b>z))>i))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((f|(p>(w|i)))>(~((s|t))&f))>~(j)))
|
((~((z>s))|~(f))>(~(o)>((w>j)|(f>t))))
| 1 | 1 | 0 | 0 |
entailment
|
~((b|b))
|
((~((z>s))|~(f))>(~(o)>((w>j)|(f>t))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((f|(p>(w|i)))>(~((s|t))&f))>~(j)))
|
~(~(((j>~(f))|(~((b>z))>i))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(j)>~(w)))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
~((s|(i|z)))
|
~((~(~((s&~(j))))|(b&((s>z)&s))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(j)>~(w)))
|
~((~(~((s&~(j))))|(b&((s>z)&s))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|(i|z)))
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(o)&z)
|
~(((o&f)&(((o|j)|(w|(i&s)))>(s|(f>i)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(z)|f)>(z|w)))
|
(((((j>i)&b)&~((~(w)|i)))>(o|f))|p)
| 1 | 0 | 0 | 0 |
entailment
|
(~(o)&z)
|
(((((j>i)&b)&~((~(w)|i)))>(o|f))|p)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(z)|f)>(z|w)))
|
~(((o&f)&(((o|j)|(w|(i&s)))>(s|(f>i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&p)
|
((~(((s&j)&b))|z)|(~(f)&(p|i)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((j>(t>j))&((w|f)>(p>(s>t)))))
|
((~(((z|j)>z))|s)&((~(z)|(o|z))|o))
| 1 | 0 | 0 | 0 |
entailment
|
(z&p)
|
((~(((z|j)>z))|s)&((~(z)|(o|z))|o))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((j>(t>j))&((w|f)>(p>(s>t)))))
|
((~(((s&j)&b))|z)|(~(f)&(p|i)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~((p|t))|(f>(f|s)))|(b&~(i)))>b))
|
~(((t>~(~(~((f>~(t))))))&b))
| 1 | 1 | 1 | 0 |
entailment
|
((~(s)&t)&((w>o)>((o>f)&t)))
|
(s>((w&~(o))&((z|i)|~(z))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~((p|t))|(f>(f|s)))|(b&~(i)))>b))
|
(s>((w&~(o))&((z|i)|~(z))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(s)&t)&((w>o)>((o>f)&t)))
|
~(((t>~(~(~((f>~(t))))))&b))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&((t|i)>t))
|
(o|((o>b)&(i|(~(i)&(((f&f)|(s|j))&i)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((z|p)|(i|(f|b)))&(z&(s>z)))
|
(z|b)
| 1 | 1 | 1 | 1 |
entailment
|
(o&((t|i)>t))
|
(z|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(((z|p)|(i|(f|b)))&(z&(s>z)))
|
(o|((o>b)&(i|(~(i)&(((f&f)|(s|j))&i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((b>j)|j))>(o>s)))
|
(s>~(i))
| 1 | 1 | 0 | 0 |
entailment
|
~(((o&i)|(~(b)>((z|w)|z))))
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((b>j)|j))>(o>s)))
|
~(z)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o&i)|(~(b)>((z|w)|z))))
|
(s>~(i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z>(x>u)))
|
((u>(u|(a|~(z))))&(a>(((x|(z|z))>x)|x)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z>u)>~((z|(u&z)))))
|
(z>((z&a)|u))
| 1 | 1 | 0 | 0 |
entailment
|
~((z>(x>u)))
|
(z>((z&a)|u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z>u)>~((z|(u&z)))))
|
((u>(u|(a|~(z))))&(a>(((x|(z|z))>x)|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>z))
|
(~(((a|u)|~(x)))>((z&(u|x))|~(x)))
| 1 | 0 | 0 | 0 |
entailment
|
(x|x)
|
(~(x)>(a|x))
| 1 | 0 | 0 | 0 |
entailment
|
~((u>z))
|
(~(x)>(a|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(x|x)
|
(~(((a|u)|~(x)))>((z&(u|x))|~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(u>((a>x)&(z|(((z>x)&a)|x))))
|
((u>x)|~((((z|(z>((a>z)>z)))|(z&x))>a)))
| 1 | 0 | 1 | 1 |
entailment
|
((((z>~(a))&(z|(u|z)))>~(a))>((a&z)|u))
|
((x>u)|(((x&x)|a)&((u>u)&a)))
| 1 | 1 | 0 | 0 |
entailment
|
(u>((a>x)&(z|(((z>x)&a)|x))))
|
((x>u)|(((x&x)|a)&((u>u)&a)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((z>~(a))&(z|(u|z)))>~(a))>((a&z)|u))
|
((u>x)|~((((z|(z>((a>z)>z)))|(z&x))>a)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>u)|(a&(z|x))))
|
~(~(((~(a)|~((z>(a|u))))>~((z|a)))))
| 1 | 0 | 1 | 0 |
entailment
|
(u&x)
|
~(~(((~(x)|(x>u))>u)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((a>u)|(a&(z|x))))
|
~(~(((~(x)|(x>u))>u)))
| 0 | 0 | 1 | 0 |
not entailment
|
(u&x)
|
~(~(((~(a)|~((z>(a|u))))>~((z|a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|(z&z))&(x|((u|x)>((a&u)>u))))
|
((a>x)|(((u|u)&~(((a>(z|z))&u)))>~(a)))
| 1 | 0 | 1 | 1 |
entailment
|
(a&(u&((z|z)>(z&((u>x)|x)))))
|
(u|a)
| 1 | 1 | 1 | 1 |
entailment
|
((x|(z&z))&(x|((u|x)>((a&u)>u))))
|
(u|a)
| 0 | 1 | 1 | 0 |
not entailment
|
(a&(u&((z|z)>(z&((u>x)|x)))))
|
((a>x)|(((u|u)&~(((a>(z|z))&u)))>~(a)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((x>~((~(a)|a)))&(x|~(z)))|(a|z)))
|
~((~(a)&~(x)))
| 1 | 1 | 1 | 1 |
entailment
|
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