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 |
|---|---|---|---|---|---|---|
(g&((d|g)&z))
|
(~((p>y))>(((~(z)|y)|d)>(s>z)))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(g|~((~(g)&p))))
|
~((((s&(p>s))>y)&~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
(g&((d|g)&z))
|
~((((s&(p>s))>y)&~(d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(g|~((~(g)&p))))
|
(~((p>y))>(((~(z)|y)|d)>(s>z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(((d&(y&~(z)))&s)&d))
|
((z|s)&y)
| 1 | 1 | 1 | 0 |
entailment
|
((e&z)&(z&(q|a)))
|
(z|((s|p)&(((g>z)&a)|a)))
| 1 | 0 | 0 | 0 |
entailment
|
(y&(((d&(y&~(z)))&s)&d))
|
(z|((s|p)&(((g>z)&a)|a)))
| 0 | 1 | 0 | 0 |
not entailment
|
((e&z)&(z&(q|a)))
|
((z|s)&y)
| 0 | 1 | 0 | 0 |
not entailment
|
(q&(((e>y)&z)&e))
|
((q&s)|((((~(e)&q)|(s&z))>z)&(s>~(y))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(e)>g)|((~(d)>a)&((a|d)|(a|p)))))
|
(((d&~(a))>(s|~(y)))&(a|(g>y)))
| 1 | 1 | 0 | 0 |
entailment
|
(q&(((e>y)&z)&e))
|
(((d&~(a))>(s|~(y)))&(a|(g>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(e)>g)|((~(d)>a)&((a|d)|(a|p)))))
|
((q&s)|((((~(e)&q)|(s&z))>z)&(s>~(y))))
| 0 | 1 | 0 | 0 |
not entailment
|
(d&p)
|
(((g&(d&z))|q)>d)
| 1 | 0 | 0 | 0 |
entailment
|
((g&((z&~(d))&z))&~(~(~(p))))
|
(~((q>z))>((~((a&g))|d)>((e|s)|y)))
| 1 | 0 | 0 | 0 |
entailment
|
(d&p)
|
(~((q>z))>((~((a&g))|d)>((e|s)|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((g&((z&~(d))&z))&~(~(~(p))))
|
(((g&(d&z))|q)>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((q>y)>~((d&y))))&s)
|
~((~((y&(d>s)))&s))
| 1 | 1 | 1 | 0 |
entailment
|
~((((s>(a|(g>s)))>(d>s))>(e|z)))
|
~(~((~(e)|(((g>y)|z)&p))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((q>y)>~((d&y))))&s)
|
~(~((~(e)|(((g>y)|z)&p))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((s>(a|(g>s)))>(d>s))>(e|z)))
|
~((~((y&(d>s)))&s))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((e&~((a|(z|s))))))
|
((y|(y&q))>(a>s))
| 1 | 1 | 0 | 0 |
entailment
|
(~(p)&g)
|
(((p>g)|(y>(d|(s&q))))&(g|z))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((e&~((a|(z|s))))))
|
(((p>g)|(y>(d|(s&q))))&(g|z))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(p)&g)
|
((y|(y&q))>(a>s))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s>p))
|
(p>(e>d))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((((p>y)>(e>a))|~((g|d)))))&a)
|
((e>(q|y))>(p|(g|a)))
| 1 | 1 | 0 | 0 |
entailment
|
~((s>p))
|
((e>(q|y))>(p|(g|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((((p>y)>(e>a))|~((g|d)))))&a)
|
(p>(e>d))
| 0 | 1 | 1 | 0 |
not entailment
|
(((z&e)&p)&((((q|s)>d)|((q>p)&e))>(g>g)))
|
((((q&~(p))&p)|(q&(p>y)))>p)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((q>g)&g))|(p&~(((d&(s&e))|(y|p)))))
|
(d>(((z>~((a|q)))|d)&~((g&y))))
| 1 | 1 | 0 | 0 |
entailment
|
(((z&e)&p)&((((q|s)>d)|((q>p)&e))>(g>g)))
|
(d>(((z>~((a|q)))|d)&~((g&y))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((q>g)&g))|(p&~(((d&(s&e))|(y|p)))))
|
((((q&~(p))&p)|(q&(p>y)))>p)
| 0 | 1 | 1 | 0 |
not entailment
|
~((q|(~(p)&~(p))))
|
~((~(~((~((z|d))>(a&q))))&q))
| 1 | 0 | 0 | 0 |
entailment
|
(~(z)&(y&(y&d)))
|
(~(e)|(~(y)>~((d>z))))
| 1 | 0 | 0 | 0 |
entailment
|
~((q|(~(p)&~(p))))
|
(~(e)|(~(y)>~((d>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(z)&(y&(y&d)))
|
~((~(~((~((z|d))>(a&q))))&q))
| 0 | 0 | 0 | 0 |
not entailment
|
((x>~((x&y)))&x)
|
(y>x)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~(m)>y)))
|
((x>(~(~((m&y)))|m))|~(~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
((x>~((x&y)))&x)
|
((x>(~(~((m&y)))|m))|~(~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(m)>y)))
|
(y>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(((m&x)&x)&((m>(x>(x&y)))>(y&(m>~(m)))))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
((((y&(y&m))&m)&(y>(y&m)))|y)
|
(x>y)
| 1 | 1 | 0 | 0 |
entailment
|
(((m&x)&x)&((m>(x>(x&y)))>(y&(m>~(m)))))
|
(x>y)
| 0 | 1 | 1 | 1 |
not entailment
|
((((y&(y&m))&m)&(y>(y&m)))|y)
|
~(y)
| 0 | 1 | 1 | 1 |
not entailment
|
((y&((m>x)&x))&(((m|(m|y))|~((x|y)))|x))
|
(~(((m&(m&m))|~((m>x))))>((m>m)>x))
| 1 | 1 | 1 | 1 |
entailment
|
~(y)
|
(((x|~(x))>~((y&m)))|~(y))
| 1 | 0 | 0 | 0 |
entailment
|
((y&((m>x)&x))&(((m|(m|y))|~((x|y)))|x))
|
(((x|~(x))>~((y&m)))|~(y))
| 0 | 1 | 1 | 1 |
not entailment
|
~(y)
|
(~(((m&(m&m))|~((m>x))))>((m>m)>x))
| 0 | 0 | 0 | 0 |
not entailment
|
((x>m)&(x>y))
|
((x|m)>((m&x)>y))
| 1 | 0 | 1 | 0 |
entailment
|
(((m|x)&(m&((y|m)|y)))&x)
|
((((m|x)&~(y))>((m&x)|(x|(y&y))))|y)
| 1 | 0 | 1 | 0 |
entailment
|
((x>m)&(x>y))
|
((((m|x)&~(y))>((m&x)|(x|(y&y))))|y)
| 0 | 0 | 1 | 0 |
not entailment
|
(((m|x)&(m&((y|m)|y)))&x)
|
((x|m)>((m&x)>y))
| 0 | 1 | 1 | 0 |
not entailment
|
((x&~(m))&((x|x)|y))
|
(x|m)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(y))
|
(~((~(~((x|x)))>(m&x)))>(y&x))
| 1 | 0 | 0 | 0 |
entailment
|
((x&~(m))&((x|x)|y))
|
(~((~(~((x|x)))>(m&x)))>(y&x))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(y))
|
(x|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&(y&(y|(x&x))))
|
(~(~((~(y)|m)))|x)
| 1 | 0 | 0 | 0 |
entailment
|
(((x|m)&(m>(y|x)))>(m&y))
|
((((y&x)|m)>m)|m)
| 1 | 1 | 1 | 1 |
entailment
|
(x&(y&(y|(x&x))))
|
((((y&x)|m)>m)|m)
| 0 | 1 | 0 | 0 |
not entailment
|
(((x|m)&(m>(y|x)))>(m&y))
|
(~(~((~(y)|m)))|x)
| 0 | 1 | 1 | 0 |
not entailment
|
(m|~(~(m)))
|
(y|m)
| 1 | 1 | 0 | 0 |
entailment
|
(((~((y>y))>m)&~(m))&(y|~((y|(y|y)))))
|
(((m>m)>((((y|x)|x)&x)>(x>y)))|((m&x)>y))
| 1 | 1 | 0 | 0 |
entailment
|
(m|~(~(m)))
|
(((m>m)>((((y|x)|x)&x)>(x>y)))|((m&x)>y))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((y>y))>m)&~(m))&(y|~((y|(y|y)))))
|
(y|m)
| 0 | 1 | 1 | 1 |
not entailment
|
((y>~(x))>(~(y)&y))
|
((((x>m)>~((y>x)))>y)&((y&y)|(x&y)))
| 1 | 0 | 0 | 0 |
entailment
|
(((y|x)>(x&m))&x)
|
((m&x)&(y|((m|y)|y)))
| 1 | 0 | 1 | 0 |
entailment
|
((y>~(x))>(~(y)&y))
|
((m&x)&(y|((m|y)|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y|x)>(x&m))&x)
|
((((x>m)>~((y>x)))>y)&((y&y)|(x&y)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((x|m)&y)|~(~(x))))
|
((x>m)|y)
| 1 | 1 | 1 | 0 |
entailment
|
~(((x&m)|m))
|
~((((m&m)>x)>((x>m)&(m|x))))
| 1 | 0 | 1 | 0 |
entailment
|
~((((x|m)&y)|~(~(x))))
|
~((((m&m)>x)>((x>m)&(m|x))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((x&m)|m))
|
((x>m)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
((((x|y)&~(m))|x)|(x&x))
|
(x|~(~(y)))
| 1 | 1 | 1 | 1 |
entailment
|
(m&(((y|m)|(~(m)>y))>m))
|
(m&m)
| 1 | 1 | 1 | 1 |
entailment
|
((((x|y)&~(m))|x)|(x&x))
|
(m&m)
| 0 | 1 | 1 | 0 |
not entailment
|
(m&(((y|m)|(~(m)>y))>m))
|
(x|~(~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y|y)>((y&x)|(x|(x|m)))))
|
(x>(((y>m)&m)&((~(x)>m)&(x|m))))
| 1 | 0 | 1 | 0 |
entailment
|
((x|m)|(~(x)>x))
|
((m|((m|((y>x)&x))|m))|m)
| 1 | 0 | 0 | 0 |
entailment
|
~(((y|y)>((y&x)|(x|(x|m)))))
|
((m|((m|((y>x)&x))|m))|m)
| 0 | 1 | 1 | 0 |
not entailment
|
((x|m)|(~(x)>x))
|
(x>(((y>m)&m)&((~(x)>m)&(x|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(y|y)
|
((x>x)&~((~(y)&m)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((m&(y&y))&y))
|
~(~(((~((x|m))&x)|((m&y)>x))))
| 1 | 0 | 0 | 0 |
entailment
|
(y|y)
|
~(~(((~((x|m))&x)|((m&y)>x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((m&(y&y))&y))
|
((x>x)&~((~(y)&m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((y>(y>m))>(m|x)))
|
(((x&x)>m)|m)
| 1 | 1 | 1 | 1 |
entailment
|
(x|(~(y)>(((m|m)&~(y))&~((y>y)))))
|
(y|(~(y)&x))
| 1 | 1 | 1 | 1 |
entailment
|
~(((y>(y>m))>(m|x)))
|
(y|(~(y)&x))
| 0 | 1 | 1 | 0 |
not entailment
|
(x|(~(y)>(((m|m)&~(y))&~((y>y)))))
|
(((x&x)>m)|m)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(w)>w)
|
(~((t|t))|w)
| 1 | 0 | 0 | 0 |
entailment
|
((((u|u)>(w&(u&w)))|t)>~((u>(w&u))))
|
(~(w)|((u&u)|~((~((w&t))>(u&u)))))
| 1 | 1 | 1 | 1 |
entailment
|
(~(w)>w)
|
(~(w)|((u&u)|~((~((w&t))>(u&u)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((u|u)>(w&(u&w)))|t)>~((u>(w&u))))
|
(~((t|t))|w)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(t))&t)
|
(w|(t|u))
| 1 | 1 | 0 | 0 |
entailment
|
((t|(~((t&t))>t))>~((u|t)))
|
(((t|~(~(t)))>~(~(w)))|(u>((w>u)&w)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(t))&t)
|
(((t|~(~(t)))>~(~(w)))|(u>((w>u)&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((t|(~((t&t))>t))>~((u|t)))
|
(w|(t|u))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&~(w))
|
(u|u)
| 1 | 1 | 1 | 1 |
entailment
|
(t&(t&w))
|
((t>~(t))>w)
| 1 | 0 | 1 | 1 |
entailment
|
(u&~(w))
|
((t>~(t))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(t&w))
|
(u|u)
| 0 | 1 | 0 | 0 |
not entailment
|
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