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 |
|---|---|---|---|---|---|---|
(z&(q&l))
|
(z&(z|t))
| 1 | 1 | 0 | 0 |
entailment
|
~((u|w))
|
(z&(z|t))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(q&l))
|
(~(w)|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((z>u))>b)&y)&~(a))
|
~((~(y)&~(((l>(~(z)&z))&(q>u)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(((t|u)|t))>u))&(~(u)&(e>u)))
|
((u&~(((t>y)>((b|t)&(l|q)))))>e)
| 1 | 1 | 0 | 0 |
entailment
|
(((~((z>u))>b)&y)&~(a))
|
((u&~(((t>y)>((b|t)&(l|q)))))>e)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(((t|u)|t))>u))&(~(u)&(e>u)))
|
~((~(y)&~(((l>(~(z)&z))&(q>u)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((b>((~(q)|z)|b))>((e&u)&(a>w)))
|
((u|e)>e)
| 1 | 1 | 1 | 0 |
entailment
|
~((b|(l>(w>~(z)))))
|
((b|~(z))|(l|(t>y)))
| 1 | 1 | 0 | 0 |
entailment
|
((b>((~(q)|z)|b))>((e&u)&(a>w)))
|
((b|~(z))|(l|(t>y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((b|(l>(w>~(z)))))
|
((u|e)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
((b&y)&~(t))
|
(((e>b)|(~(~(b))|(b>~(z))))>(b|y))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(w))
|
((l|a)|w)
| 1 | 1 | 0 | 0 |
entailment
|
((b&y)&~(t))
|
((l|a)|w)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(w))
|
(((e>b)|(~(~(b))|(b>~(z))))>(b|y))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(((((~(b)|b)|q)&l)>u)>b))
|
(l>(b|a))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((y|(y>u))))>(e>~(~((a|b))))))
|
((w&u)|~((a&~(w))))
| 1 | 1 | 0 | 0 |
entailment
|
(b&(((((~(b)|b)|q)&l)>u)>b))
|
((w&u)|~((a&~(w))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((y|(y>u))))>(e>~(~((a|b))))))
|
(l>(b|a))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(l)|b))&((y&e)&(~(q)&t)))
|
(((q&(~(u)&((e>w)|t)))>b)|a)
| 1 | 1 | 0 | 0 |
entailment
|
~(a)
|
(((a&l)&u)>(((q&b)|l)>~(u)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(l)|b))&((y&e)&(~(q)&t)))
|
(((a&l)&u)>(((q&b)|l)>~(u)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(a)
|
(((q&(~(u)&((e>w)|t)))>b)|a)
| 0 | 0 | 0 | 0 |
not entailment
|
~((z|((((t|w)&l)|((t|q)>e))>~(y))))
|
(a>((z|a)&y))
| 1 | 1 | 0 | 0 |
entailment
|
((b&e)&(w|(~((~(~((t>y)))>~(a)))|e)))
|
(((~((z|e))&~(l))&u)>(w>(l&t)))
| 1 | 1 | 0 | 0 |
entailment
|
~((z|((((t|w)&l)|((t|q)>e))>~(y))))
|
(((~((z|e))&~(l))&u)>(w>(l&t)))
| 0 | 1 | 0 | 0 |
not entailment
|
((b&e)&(w|(~((~(~((t>y)))>~(a)))|e)))
|
(a>((z|a)&y))
| 0 | 1 | 0 | 0 |
not entailment
|
(((b|a)|~(q))&~((a|w)))
|
(a>w)
| 1 | 1 | 1 | 0 |
entailment
|
(e&a)
|
(~((t|(~(~(a))|(q|u))))>~(e))
| 1 | 0 | 0 | 0 |
entailment
|
(((b|a)|~(q))&~((a|w)))
|
(~((t|(~(~(a))|(q|u))))>~(e))
| 0 | 0 | 0 | 0 |
not entailment
|
(e&a)
|
(a>w)
| 0 | 1 | 0 | 0 |
not entailment
|
((z&(w&y))&a)
|
((((~((~(l)|(((e>l)|e)>e)))&z)|t)|y)|q)
| 1 | 0 | 0 | 0 |
entailment
|
((b|z)&(z>~((w>(a>~((z>t)))))))
|
((t&(t|(a|a)))|~(z))
| 1 | 1 | 1 | 1 |
entailment
|
((z&(w&y))&a)
|
((t&(t|(a|a)))|~(z))
| 0 | 0 | 0 | 0 |
not entailment
|
((b|z)&(z>~((w>(a>~((z>t)))))))
|
((((~((~(l)|(((e>l)|e)>e)))&z)|t)|y)|q)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((y|y)&~(((q&w)|t)))>(l>q)))
|
(t>e)
| 1 | 1 | 0 | 0 |
entailment
|
(u&a)
|
(~((~(w)|y))|(a&a))
| 1 | 0 | 0 | 0 |
entailment
|
~((((y|y)&~(((q&w)|t)))>(l>q)))
|
(~((~(w)|y))|(a&a))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&a)
|
(t>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((z>y)&~(l)))&(u&(l&a)))
|
(e|(a|y))
| 1 | 1 | 0 | 0 |
entailment
|
(u&(~(a)&(b&~((e&(t>(u>z)))))))
|
(~((u>t))|((y&~(w))|(a>z)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((z>y)&~(l)))&(u&(l&a)))
|
(~((u>t))|((y&~(w))|(a>z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(~(a)&(b&~((e&(t>(u>z)))))))
|
(e|(a|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(t|(q|a))
|
((((q>y)&~(q))>a)|(t&t))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z|t)&(u>u)))
|
(~(z)|~((w>((t>z)>l))))
| 1 | 0 | 0 | 0 |
entailment
|
(t|(q|a))
|
(~(z)|~((w>((t>z)>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z|t)&(u>u)))
|
((((q>y)&~(q))>a)|(t&t))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(u)|(((u&a)|e)|~((a&w))))&~((z>l)))
|
(~(z)>y)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z&l)|(e>u)))
|
~((b&((w>u)&(u&b))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(u)|(((u&a)|e)|~((a&w))))&~((z>l)))
|
~((b&((w>u)&(u&b))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z&l)|(e>u)))
|
(~(z)>y)
| 0 | 1 | 0 | 0 |
not entailment
|
((a>~(y))>y)
|
(((z>e)&(l>(q&~(z))))>(b>y))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|e))
|
((e&u)>(~(~(((b&q)&w)))&e))
| 1 | 0 | 0 | 0 |
entailment
|
((a>~(y))>y)
|
((e&u)>(~(~(((b&q)&w)))&e))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y|e))
|
(((z>e)&(l>(q&~(z))))>(b>y))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a|(w>~(b))))
|
(q|w)
| 1 | 1 | 0 | 0 |
entailment
|
(t&((u|~(l))>a))
|
~((~((~(u)&t))&~((t>a))))
| 1 | 0 | 1 | 0 |
entailment
|
~((a|(w>~(b))))
|
~((~((~(u)&t))&~((t>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&((u|~(l))>a))
|
(q|w)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((d|((d|t)&g))))&g))
|
(((g&j)>~(t))|(((d|(x>d))|j)&~(x)))
| 1 | 0 | 0 | 0 |
entailment
|
(t&x)
|
(((t>d)>g)>x)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((d|((d|t)&g))))&g))
|
(((t>d)>g)>x)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&x)
|
(((g&j)>~(t))|(((d|(x>d))|j)&~(x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((d|(g|t))>((~((x|t))|~(g))&~(j))))
|
(j|(g&((r|(d&d))>(g|t))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((r|r))&x)
|
(~(((x>r)&((d|x)&j)))|((r>d)&(t>g)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d|(g|t))>((~((x|t))|~(g))&~(j))))
|
(~(((x>r)&((d|x)&j)))|((r>d)&(t>g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((r|r))&x)
|
(j|(g&((r|(d&d))>(g|t))))
| 0 | 0 | 0 | 0 |
not entailment
|
((r>(g&(g>t)))&(t&(((r>g)&d)|d)))
|
(((d>j)|t)|g)
| 1 | 1 | 0 | 0 |
entailment
|
(r&x)
|
(~(~(~((~(r)&((t|d)|r)))))|x)
| 1 | 0 | 0 | 0 |
entailment
|
((r>(g&(g>t)))&(t&(((r>g)&d)|d)))
|
(~(~(~((~(r)&((t|d)|r)))))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&x)
|
(((d>j)|t)|g)
| 0 | 0 | 0 | 0 |
not entailment
|
(g&g)
|
(g&g)
| 1 | 1 | 1 | 1 |
entailment
|
(d&(g>~((g|~(r)))))
|
((g>j)&~(~((d&(j|(d|r))))))
| 1 | 0 | 0 | 0 |
entailment
|
(g&g)
|
((g>j)&~(~((d&(j|(d|r))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(g>~((g|~(r)))))
|
(g&g)
| 0 | 1 | 1 | 0 |
not entailment
|
~((((~((t&g))>j)&x)>d))
|
((j|g)|((j&~(t))&t))
| 1 | 1 | 1 | 0 |
entailment
|
(t&(r&d))
|
((((g|~(g))|(r&t))>(~(g)|t))|~((g&g)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((~((t&g))>j)&x)>d))
|
((((g|~(g))|(r&t))>(~(g)|t))|~((g&g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(r&d))
|
((j|g)|((j&~(t))&t))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&~(((r|r)>g)))
|
(((d>d)&j)|(((d&d)&(j>t))&(t&r)))
| 1 | 0 | 0 | 0 |
entailment
|
((j|x)&d)
|
~(~(d))
| 1 | 1 | 1 | 1 |
entailment
|
(j&~(((r|r)>g)))
|
~(~(d))
| 0 | 1 | 0 | 0 |
not entailment
|
((j|x)&d)
|
(((d>d)&j)|(((d&d)&(j>t))&(t&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&x)
|
(~(~(d))|x)
| 1 | 0 | 0 | 0 |
entailment
|
(~(g)&~(~((r|(g|t)))))
|
~((g&((t&(t&j))|g)))
| 1 | 1 | 0 | 0 |
entailment
|
(j&x)
|
~((g&((t&(t&j))|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(g)&~(~((r|(g|t)))))
|
(~(~(d))|x)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j|t)&d)&d)
|
(((((j>x)&g)>d)|r)&(r>d))
| 1 | 0 | 0 | 0 |
entailment
|
((~(d)|((d>r)&x))&~((~(t)>j)))
|
((g&~(~((x&t))))|(~(j)|((x>r)|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(((j|t)&d)&d)
|
((g&~(~((x&t))))|(~(j)|((x>r)|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(d)|((d>r)&x))&~((~(t)>j)))
|
(((((j>x)&g)>d)|r)&(r>d))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(g)|(d>(d>j)))|(r|g))>(d&((g|g)&r)))
|
(t>d)
| 1 | 1 | 0 | 0 |
entailment
|
((x&t)&x)
|
((x|((t&g)>((j>x)>x)))|~(((g|t)>(t|j))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(g)|(d>(d>j)))|(r|g))>(d&((g|g)&r)))
|
((x|((t&g)>((j>x)>x)))|~(((g|t)>(t|j))))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&t)&x)
|
(t>d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((j&g)|(((d&g)|g)>x)))
|
(x|g)
| 1 | 1 | 1 | 0 |
entailment
|
~((((g&~(g))>t)&(~(((x>g)&j))>~(t))))
|
(((g&d)&d)|t)
| 1 | 1 | 0 | 0 |
entailment
|
~(((j&g)|(((d&g)|g)>x)))
|
(((g&d)&d)|t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((g&~(g))>t)&(~(((x>g)&j))>~(t))))
|
(x|g)
| 0 | 1 | 1 | 1 |
not entailment
|
((((j>x)>t)&x)&(r|x))
|
((t|j)|~(~(~((g&(r|x))))))
| 1 | 0 | 0 | 0 |
entailment
|
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