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 |
|---|---|---|---|---|---|---|
(u>~((u>u)))
|
(~((u&u))|(~(u)&(u&u)))
| 1 | 0 | 1 | 1 |
entailment
|
(u|(u&u))
|
(~((u&u))|(~(u)&(u&u)))
| 0 | 0 | 1 | 0 |
not entailment
|
(u>~((u>u)))
|
(~((u>((~(u)&u)&(u&u))))|(u|(u&(u>u))))
| 0 | 0 | 1 | 1 |
not entailment
|
((s|s)&s)
|
(s|(s|(s&s)))
| 1 | 0 | 1 | 1 |
entailment
|
(~((~(((s|s)>s))|s))&((s>(s>s))|s))
|
((s>~(s))&(s>(((s&s)|s)>(s>s))))
| 1 | 1 | 1 | 1 |
entailment
|
((s|s)&s)
|
((s>~(s))&(s>(((s&s)|s)>(s>s))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((~(((s|s)>s))|s))&((s>(s>s))|s))
|
(s|(s|(s&s)))
| 0 | 1 | 1 | 1 |
not entailment
|
(((~((s|s))>s)>~((s|s)))>s)
|
(((s|s)&(s&s))&((s>s)|s))
| 1 | 1 | 1 | 0 |
entailment
|
(~((s|s))&((s>(s&s))|s))
|
~((((s>s)&(s>s))>s))
| 1 | 1 | 1 | 1 |
entailment
|
(((~((s|s))>s)>~((s|s)))>s)
|
~((((s>s)&(s>s))>s))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((s|s))&((s>(s&s))|s))
|
(((s|s)&(s&s))&((s>s)|s))
| 0 | 1 | 1 | 1 |
not entailment
|
~(s)
|
~((((s|s)>~((~((s&s))&(s>s))))&(s&s)))
| 1 | 0 | 1 | 0 |
entailment
|
((~((s>s))>~(~((s&(s|(s|s))))))>s)
|
~(~(~(~(s))))
| 1 | 1 | 1 | 1 |
entailment
|
~(s)
|
~(~(~(~(s))))
| 0 | 0 | 1 | 0 |
not entailment
|
((~((s>s))>~(~((s&(s|(s|s))))))>s)
|
~((((s|s)>~((~((s&s))&(s>s))))&(s&s)))
| 0 | 0 | 1 | 1 |
not entailment
|
(~(s)|~(s))
|
((s|(s>(~(~(s))|s)))&~(s))
| 1 | 0 | 1 | 0 |
entailment
|
(s&(s&s))
|
(~((s&s))>s)
| 1 | 0 | 1 | 1 |
entailment
|
(~(s)|~(s))
|
(~((s&s))>s)
| 0 | 1 | 1 | 0 |
not entailment
|
(s&(s&s))
|
((s|(s>(~(~(s))|s)))&~(s))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~((x&(x&a))))&f)
|
(i|f)
| 1 | 1 | 0 | 0 |
entailment
|
((x|t)&(x&(~((x&f))&x)))
|
(f>((a|(t|~(x)))>(((o|i)&f)&(a>o))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((x&(x&a))))&f)
|
(f>((a|(t|~(x)))>(((o|i)&f)&(a>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
((x|t)&(x&(~((x&f))&x)))
|
(i|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(f&f))
|
((f>z)>(((((a|z)|(z|(f>f)))&i)|t)>(t|z)))
| 1 | 0 | 0 | 0 |
entailment
|
~((z|z))
|
(o|(z>o))
| 1 | 1 | 0 | 0 |
entailment
|
(z&(f&f))
|
(o|(z>o))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z|z))
|
((f>z)>(((((a|z)|(z|(f>f)))&i)|t)>(t|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((a>f)|(t>a))>(z&(z&a))))&z)
|
(a>f)
| 1 | 1 | 1 | 1 |
entailment
|
~(((a>x)>(~(a)|t)))
|
(t|a)
| 1 | 1 | 1 | 0 |
entailment
|
(~((((a>f)|(t>a))>(z&(z&a))))&z)
|
(t|a)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((a>x)>(~(a)|t)))
|
(a>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~((i>((f&i)&t))))>(z|z))
|
((~((o|x))>(f&o))|(~((i|z))>t))
| 1 | 0 | 0 | 0 |
entailment
|
(a&(f|f))
|
(((i>o)|t)>(f|i))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((i>((f&i)&t))))>(z|z))
|
(((i>o)|t)>(f|i))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(f|f))
|
((~((o|x))>(f&o))|(~((i|z))>t))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(~(t))>f))&(x|i))
|
(~((f&z))|((x|i)|(i|o)))
| 1 | 1 | 0 | 0 |
entailment
|
((t&(a|a))&f)
|
~(((o&t)&~(f)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(~(t))>f))&(x|i))
|
~(((o&t)&~(f)))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&(a|a))&f)
|
(~((f&z))|((x|i)|(i|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(i)&(((a>(o>z))>t)&((a|z)&x)))
|
(~(a)>z)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~((x|a))))&~(o))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
(~(i)&(((a>(o>z))>t)&((a|z)&x)))
|
~(o)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(~((x|a))))&~(o))
|
(~(a)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
((z&i)&(z|x))
|
(x|(i|(~((~(a)&(z&z)))>t)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((a&o)&f)>f)>(i|((a|(~(f)|i))|o))))
|
(((o|(~(i)&z))&f)|f)
| 1 | 1 | 0 | 0 |
entailment
|
((z&i)&(z|x))
|
(((o|(~(i)&z))&f)|f)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((a&o)&f)>f)>(i|((a|(~(f)|i))|o))))
|
(x|(i|(~((~(a)&(z&z)))>t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((f>t))|f)
|
((o|f)|(~((t&(f|(z&~(a)))))&f))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((t&(z>i))))
|
(((i|z)>o)|~((~(t)&(i&x))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((f>t))|f)
|
(((i|z)>o)|~((~(t)&(i&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((t&(z>i))))
|
((o|f)|(~((t&(f|(z&~(a)))))&f))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(a))>(~(t)>z))&~((o|(f>(x|t)))))
|
(f|(a|z))
| 1 | 1 | 1 | 0 |
entailment
|
~((((~(z)&o)>t)|(x|a)))
|
((f>~(o))>~(~(((a|o)|o))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(a))>(~(t)>z))&~((o|(f>(x|t)))))
|
((f>~(o))>~(~(((a|o)|o))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((~(z)&o)>t)|(x|a)))
|
(f|(a|z))
| 0 | 1 | 0 | 0 |
not entailment
|
((z&a)&(z&o))
|
(f>(a&((a&a)&o)))
| 1 | 0 | 0 | 0 |
entailment
|
((i&x)&o)
|
~(~((z>(~(t)>i))))
| 1 | 0 | 0 | 0 |
entailment
|
((z&a)&(z&o))
|
~(~((z>(~(t)>i))))
| 0 | 0 | 0 | 0 |
not entailment
|
((i&x)&o)
|
(f>(a&((a&a)&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((i>~(a))&(a&(o|(f>a))))&~((f>(z>t))))
|
(a|o)
| 1 | 1 | 1 | 1 |
entailment
|
~(((i|f)>z))
|
((~(i)&~(i))>~((z&(~(x)|(i&f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((i>~(a))&(a&(o|(f>a))))&~((f>(z>t))))
|
((~(i)&~(i))>~((z&(~(x)|(i&f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i|f)>z))
|
(a|o)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((i&a)>(o&(f&(f&a))))>~((~(x)&i))))
|
(x|(((~(o)|f)|x)>(f|i)))
| 1 | 1 | 1 | 0 |
entailment
|
(x|z)
|
((i&t)|((x|(a|a))|z))
| 1 | 0 | 0 | 0 |
entailment
|
~((((i&a)>(o&(f&(f&a))))>~((~(x)&i))))
|
((i&t)|((x|(a|a))|z))
| 0 | 1 | 0 | 0 |
not entailment
|
(x|z)
|
(x|(((~(o)|f)|x)>(f|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((i>i)&x)))|~(((o>(x>a))|t)))
|
(t>x)
| 1 | 1 | 1 | 1 |
entailment
|
~((o>((~(a)&(i|i))>((z&t)>f))))
|
~(((~(t)|(t&z))>~((((a&f)>f)>z))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(~(((i>i)&x)))|~(((o>(x>a))|t)))
|
~(((~(t)|(t&z))>~((((a&f)>f)>z))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((o>((~(a)&(i|i))>((z&t)>f))))
|
(t>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(x|x)
|
((x|~(t))|o)
| 1 | 0 | 0 | 0 |
entailment
|
~(a)
|
((o&f)|((a&o)>z))
| 1 | 0 | 0 | 0 |
entailment
|
(x|x)
|
((o&f)|((a&o)>z))
| 0 | 0 | 0 | 0 |
not entailment
|
~(a)
|
((x|~(t))|o)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((x>(x&~((~(i)&o)))))))
|
((o|x)|~((~((o|f))|f)))
| 1 | 1 | 0 | 0 |
entailment
|
(((x&(t&o))|(z|o))&(f&z))
|
(((i&a)|(f&~(~(f))))|a)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((x>(x&~((~(i)&o)))))))
|
(((i&a)|(f&~(~(f))))|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(((x&(t&o))|(z|o))&(f&z))
|
((o|x)|~((~((o|f))|f)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((t&z))&(~(i)&x))
|
((x|(((a|t)&o)>i))|((x|o)>(z&o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(o)|(x|a)))>((x>(o>x))>x)))
|
~(((x|(a&(a|~((t>(t&f))))))|(x|(z&x))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((t&z))&(~(i)&x))
|
~(((x|(a&(a|~((t>(t&f))))))|(x|(z&x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((~(o)|(x|a)))>((x>(o>x))>x)))
|
((x|(((a|t)&o)>i))|((x|o)>(z&o)))
| 0 | 1 | 0 | 0 |
not entailment
|
((f|a)&(o&(((x>i)&z)&x)))
|
(z|(a|~(x)))
| 1 | 1 | 1 | 1 |
entailment
|
(t&(~((o&i))|(t|(f>a))))
|
(t|~(i))
| 1 | 1 | 1 | 1 |
entailment
|
((f|a)&(o&(((x>i)&z)&x)))
|
(t|~(i))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&(~((o&i))|(t|(f>a))))
|
(z|(a|~(x)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x|t)&(~(z)|x)))
|
(~(~((x|x)))>i)
| 1 | 1 | 0 | 0 |
entailment
|
(f|(~(a)&~(z)))
|
((a>i)|f)
| 1 | 1 | 0 | 0 |
entailment
|
~(((x|t)&(~(z)|x)))
|
((a>i)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(f|(~(a)&~(z)))
|
(~(~((x|x)))>i)
| 0 | 1 | 0 | 0 |
not entailment
|
(((t|(a|z))>z)&i)
|
(i|z)
| 1 | 1 | 1 | 1 |
entailment
|
((a>(o>t))>a)
|
((a&(o|(~(f)&(t&~(~((t&t)))))))|(z|a))
| 1 | 0 | 0 | 0 |
entailment
|
(((t|(a|z))>z)&i)
|
((a&(o|(~(f)&(t&~(~((t&t)))))))|(z|a))
| 0 | 0 | 0 | 0 |
not entailment
|
((a>(o>t))>a)
|
(i|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((z>a))&((z|x)|f))
|
(z|(f&a))
| 1 | 1 | 1 | 0 |
entailment
|
(~(f)&((t>x)>f))
|
((i>~(o))|t)
| 1 | 1 | 0 | 0 |
entailment
|
(~((z>a))&((z|x)|f))
|
((i>~(o))|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(f)&((t>x)>f))
|
(z|(f&a))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((~(o)>i))>(x&i)))
|
((o>((i|i)&f))|(((o>(a|~(i)))>x)|x))
| 1 | 0 | 0 | 0 |
entailment
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.