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 |
|---|---|---|---|---|---|---|
~((o|u))
|
((u|h)&~(~((o|u))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&(((u>h)>(o&h))&~(~(h))))
|
(o|(~(~(h))&o))
| 1 | 1 | 1 | 1 |
entailment
|
~(((u|~((u&h)))&((h&(u&u))>(o&(o&u)))))
|
~(((u>o)&u))
| 1 | 1 | 1 | 1 |
entailment
|
(o&(((u>h)>(o&h))&~(~(h))))
|
~(((u>o)&u))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((u|~((u&h)))&((h&(u&u))>(o&(o&u)))))
|
(o|(~(~(h))&o))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((h|u)&u))
|
~(((((h|~(((h&u)>u)))>u)&u)&o))
| 1 | 0 | 0 | 0 |
entailment
|
(((o&~(h))&u)&~((h&o)))
|
(((h>o)&((u&o)&~((h>(h|o)))))|((o>h)>u))
| 1 | 0 | 1 | 0 |
entailment
|
~(((h|u)&u))
|
(((h>o)&((u&o)&~((h>(h|o)))))|((o>h)>u))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o&~(h))&u)&~((h&o)))
|
~(((((h|~(((h&u)>u)))>u)&u)&o))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((o|(o&o))>h))&(((u|h)&u)>~((h&h))))
|
(o>~((h&u)))
| 1 | 1 | 1 | 0 |
entailment
|
((u>h)|~(~(((o|u)&~(~(h))))))
|
((o&u)>h)
| 1 | 1 | 1 | 0 |
entailment
|
(~(((o|(o&o))>h))&(((u|h)&u)>~((h&h))))
|
((o&u)>h)
| 0 | 1 | 1 | 0 |
not entailment
|
((u>h)|~(~(((o|u)&~(~(h))))))
|
(o>~((h&u)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((u|~(~(~((o>h))))))
|
~(~((((o>h)&u)|~(u))))
| 1 | 1 | 1 | 0 |
entailment
|
(o|o)
|
(u|o)
| 1 | 1 | 0 | 0 |
entailment
|
~((u|~(~(~((o>h))))))
|
(u|o)
| 0 | 1 | 1 | 0 |
not entailment
|
(o|o)
|
~(~((((o>h)&u)|~(u))))
| 0 | 0 | 0 | 0 |
not entailment
|
((h>o)&h)
|
(((o|u)|~((o&h)))>((o>(o|u))&(u|o)))
| 1 | 0 | 0 | 0 |
entailment
|
~((h|((o>u)>((u>u)&u))))
|
(o>(~(o)&(((u&h)|(h|(h&u)))>(u>o))))
| 1 | 0 | 1 | 0 |
entailment
|
((h>o)&h)
|
(o>(~(o)&(((u&h)|(h|(h&u)))>(u>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((h|((o>u)>((u>u)&u))))
|
(((o|u)|~((o&h)))>((o>(o|u))&(u|o)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(k)&(u|u))|(a&~((~(~((x|y)))|m))))
|
(((u>a)&~(i))>a)
| 1 | 1 | 0 | 0 |
entailment
|
((x&(m&d))&((x>~(u))>y))
|
(b>d)
| 1 | 1 | 0 | 0 |
entailment
|
((~(k)&(u|u))|(a&~((~(~((x|y)))|m))))
|
(b>d)
| 0 | 1 | 0 | 0 |
not entailment
|
((x&(m&d))&((x>~(u))>y))
|
(((u>a)&~(i))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
((a&b)&((d>(u>x))|x))
|
(((~((k|i))>k)|b)|(b&(y>u)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((i>y)>y))
|
~(((y&a)&x))
| 1 | 1 | 0 | 0 |
entailment
|
((a&b)&((d>(u>x))|x))
|
~(((y&a)&x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i>y)>y))
|
(((~((k|i))>k)|b)|(b&(y>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((~(i)|y)|(d|i))|u)>((k>~(y))&(k&b)))
|
(((i|b)>k)|u)
| 1 | 1 | 1 | 0 |
entailment
|
(((i>m)&(i&x))&((i&x)|b))
|
((a|x)>x)
| 1 | 1 | 0 | 0 |
entailment
|
((((~(i)|y)|(d|i))|u)>((k>~(y))&(k&b)))
|
((a|x)>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(((i>m)&(i&x))&((i&x)|b))
|
(((i|b)>k)|u)
| 0 | 1 | 0 | 0 |
not entailment
|
(((d>~((k&~((d|y)))))|(m>i))>(k&i))
|
(~(((~(x)>y)>(~((y|d))&~(b))))|(i>k))
| 1 | 0 | 0 | 0 |
entailment
|
~(((m|b)>((u|(~((y|x))&k))>~(u))))
|
((d|(d&u))>u)
| 1 | 1 | 0 | 0 |
entailment
|
(((d>~((k&~((d|y)))))|(m>i))>(k&i))
|
((d|(d&u))>u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((m|b)>((u|(~((y|x))&k))>~(u))))
|
(~(((~(x)>y)>(~((y|d))&~(b))))|(i>k))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&a)
|
((i>((m&y)|b))>((a|i)|m))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(((~(a)|m)|k)&b))
|
(a>b)
| 1 | 1 | 1 | 1 |
entailment
|
(u&a)
|
(a>b)
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(((~(a)|m)|k)&b))
|
((i>((m&y)|b))>((a|i)|m))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k|~((m&b)))|~(u))&(x&b))
|
(u|x)
| 1 | 1 | 1 | 0 |
entailment
|
((~(((a|d)|b))>(a>a))&~(b))
|
(((~((a>(u|y)))|i)&~(~(~(a))))>(b>k))
| 1 | 0 | 0 | 0 |
entailment
|
(((k|~((m&b)))|~(u))&(x&b))
|
(((~((a>(u|y)))|i)&~(~(~(a))))>(b>k))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((a|d)|b))>(a>a))&~(b))
|
(u|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&(((x&i)&((x|~(~(d)))>(y&x)))&(k&i)))
|
(k&x)
| 1 | 1 | 1 | 1 |
entailment
|
(u&(((m>m)|(x&a))&~((~(d)>i))))
|
((d|~(i))&(((d|u)>(~(u)&d))>(i|x)))
| 1 | 0 | 1 | 0 |
entailment
|
(x&(((x&i)&((x|~(~(d)))>(y&x)))&(k&i)))
|
((d|~(i))&(((d|u)>(~(u)&d))>(i|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(((m>m)|(x&a))&~((~(d)>i))))
|
(k&x)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((k&m)&(u|a))))
|
((k>d)>(b|(x|(m|m))))
| 1 | 1 | 0 | 0 |
entailment
|
~(b)
|
(((x>y)>((u>d)>a))|(b>a))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((k&m)&(u|a))))
|
(((x>y)>((u>d)>a))|(b>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~(b)
|
((k>d)>(b|(x|(m|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k&k)>b)&y)
|
((k|y)|~(((~(i)&m)>((m|(m>y))|y))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((((u>i)>(x&(x>b)))|(u>~(i))))))
|
(~((i|(((m>i)>~(i))&(i&d))))>i)
| 1 | 1 | 0 | 0 |
entailment
|
(((k&k)>b)&y)
|
(~((i|(((m>i)>~(i))&(i&d))))>i)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((((u>i)>(x&(x>b)))|(u>~(i))))))
|
((k|y)|~(((~(i)&m)>((m|(m>y))|y))))
| 0 | 1 | 0 | 0 |
not entailment
|
(u|(d&((m&(k&(b>~(i))))&(y&~((b>u))))))
|
((~((u|m))>((y&b)|~(((u>k)|(b>y)))))|k)
| 1 | 1 | 1 | 0 |
entailment
|
(x|(~(u)>u))
|
(~((x|u))>(x|u))
| 1 | 0 | 1 | 1 |
entailment
|
(u|(d&((m&(k&(b>~(i))))&(y&~((b>u))))))
|
(~((x|u))>(x|u))
| 0 | 1 | 0 | 0 |
not entailment
|
(x|(~(u)>u))
|
((~((u|m))>((y&b)|~(((u>k)|(b>y)))))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
(d&u)
|
((~(y)&(x>y))>((u>x)>x))
| 1 | 0 | 0 | 0 |
entailment
|
~((((d&b)&(b>a))|((x|i)&x)))
|
~(((x|(a&x))&(x&((m>(k|b))&(m|(m>x))))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&u)
|
~(((x|(a&x))&(x&((m>(k|b))&(m|(m>x))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((d&b)&(b>a))|((x|i)&x)))
|
((~(y)&(x>y))>((u>x)>x))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((k&~(b)))>b))
|
~(b)
| 1 | 1 | 1 | 1 |
entailment
|
((a&u)&(x&d))
|
(((k|a)>(i&i))>(((u|x)>i)|a))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((k&~(b)))>b))
|
(((k|a)>(i&i))>(((u|x)>i)|a))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&u)&(x&d))
|
~(b)
| 0 | 1 | 0 | 0 |
not entailment
|
((m&(d|(a>m)))|y)
|
(m|((~(m)|b)>y))
| 1 | 1 | 0 | 0 |
entailment
|
(k&u)
|
(u|d)
| 1 | 1 | 0 | 0 |
entailment
|
((m&(d|(a>m)))|y)
|
(u|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&u)
|
(m|((~(m)|b)>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(~(x)>(u>k)))
|
((y>~((a>u)))|(~(d)>(i>b)))
| 1 | 0 | 0 | 0 |
entailment
|
((y|k)&i)
|
((i>(~(u)>(y>d)))>(i&(i|d)))
| 1 | 0 | 0 | 0 |
entailment
|
(b&(~(x)>(u>k)))
|
((i>(~(u)>(y>d)))>(i&(i|d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|k)&i)
|
((y>~((a>u)))|(~(d)>(i>b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a|m)
|
(((a&d)|(a>y))>(a|(m|m)))
| 1 | 0 | 0 | 0 |
entailment
|
(y|((y|b)&a))
|
(b|((y|x)|k))
| 1 | 1 | 0 | 0 |
entailment
|
(a|m)
|
(b|((y|x)|k))
| 0 | 0 | 0 | 0 |
not entailment
|
(y|((y|b)&a))
|
(((a&d)|(a>y))>(a|(m|m)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((l|((f>l)&(z>y)))>w)&(v&l))
|
(((w&~(y))>~(((t&l)|v)))>(t|v))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~(y)|(t>l))&((z|(z|l))>z))|(y&y)))
|
((f&y)>(t|t))
| 1 | 1 | 0 | 0 |
entailment
|
(((l|((f>l)&(z>y)))>w)&(v&l))
|
((f&y)>(t|t))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(y)|(t>l))&((z|(z|l))>z))|(y&y)))
|
(((w&~(y))>~(((t&l)|v)))>(t|v))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((l|z)&v))>w)
|
(((((z&(l>f))|z)&w)|v)|(z>t))
| 1 | 0 | 0 | 0 |
entailment
|
~((f>t))
|
(((t>(w>y))|(y&f))|((f&l)>(~(~(v))&v)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((l|z)&v))>w)
|
(((t>(w>y))|(y&f))|((f&l)>(~(~(v))&v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>t))
|
(((((z&(l>f))|z)&w)|v)|(z>t))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((l&l)&f)))
|
(l|w)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z&z)>~((t&f))))
|
((l>~(v))>(w|(z|z)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((l&l)&f)))
|
((l>~(v))>(w|(z|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z&z)>~((t&f))))
|
(l|w)
| 0 | 1 | 0 | 0 |
not entailment
|
(f&~(z))
|
(y|(f|y))
| 1 | 1 | 0 | 0 |
entailment
|
((z>v)&~(w))
|
(w>v)
| 1 | 1 | 1 | 1 |
entailment
|
(f&~(z))
|
(w>v)
| 0 | 1 | 0 | 0 |
not entailment
|
((z>v)&~(w))
|
(y|(f|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&(y>w))
|
((z&w)>(t&(v|t)))
| 1 | 0 | 0 | 0 |
entailment
|
((f&l)&w)
|
(((z>w)|f)>l)
| 1 | 0 | 0 | 0 |
entailment
|
(t&(y>w))
|
(((z>w)|f)>l)
| 0 | 0 | 0 | 0 |
not entailment
|
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