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 |
|---|---|---|---|---|---|---|
(m&g)
|
((g|c)&((c>s)|(m|c)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(m)>s))
|
((g|c)&((c>s)|(m|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&g)
|
~(~(((l>((c&l)|c))|(m>s))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g|~(c))|(l>s)))
|
~((~((~(~((c|m)))|s))&(((g>z)|g)|s)))
| 1 | 0 | 0 | 0 |
entailment
|
(g&(l|s))
|
(((c&~(l))&~((s>z)))|(z>(g&(g&g))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((g|~(c))|(l>s)))
|
(((c&~(l))&~((s>z)))|(z>(g&(g&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&(l|s))
|
~((~((~(~((c|m)))|s))&(((g>z)|g)|s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&(((n|(h|z))|t)|e))
|
(~((e|n))>i)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(r))&(e>r))
|
((h>(r|r))&((((n&e)|~(k))>(h|r))|~(e)))
| 1 | 0 | 0 | 0 |
entailment
|
(n&(((n|(h|z))|t)|e))
|
((h>(r|r))&((((n&e)|~(k))>(h|r))|~(e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(r))&(e>r))
|
(~((e|n))>i)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((x>r)&(r&i))>(e&(i>r))))
|
((r|(h&e))&(t>r))
| 1 | 1 | 0 | 0 |
entailment
|
(((h&e)&~(~(t)))&(i&e))
|
(e&((i|r)&(i&e)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((x>r)&(r&i))>(e&(i>r))))
|
(e&((i|r)&(i&e)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((h&e)&~(~(t)))&(i&e))
|
((r|(h&e))&(t>r))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r>(i>~(~((t|x)))))|(~(e)>x)))
|
(x>~((a>x)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(((~((t>t))|r)|t))&i)&(z|r))
|
(~(t)>z)
| 1 | 1 | 1 | 1 |
entailment
|
~(((r>(i>~(~((t|x)))))|(~(e)>x)))
|
(~(t)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(((~((t>t))|r)|t))&i)&(z|r))
|
(x>~((a>x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(z&(~((((x>k)|r)|(k|n)))&~(k)))
|
(x>(~(r)>z))
| 1 | 1 | 1 | 0 |
entailment
|
~((a&((h&r)>(e>i))))
|
~(((i&a)&(z|((n|t)&((x>i)|(a&a))))))
| 1 | 0 | 0 | 0 |
entailment
|
(z&(~((((x>k)|r)|(k|n)))&~(k)))
|
~(((i&a)&(z|((n|t)&((x>i)|(a&a))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((a&((h&r)>(e>i))))
|
(x>(~(r)>z))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>~(t))>~(t)))
|
(t|(t&z))
| 1 | 1 | 0 | 0 |
entailment
|
((~(k)&~(n))&~((z&e)))
|
(~(n)|i)
| 1 | 1 | 0 | 0 |
entailment
|
~(((a>~(t))>~(t)))
|
(~(n)|i)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(k)&~(n))&~((z&e)))
|
(t|(t&z))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((k>r)&h)|(n>k)))
|
((i>x)>~(((z&(k&n))&~(a))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&r)
|
(((~(~(a))&e)|k)|(z|t))
| 1 | 0 | 0 | 0 |
entailment
|
~((((k>r)&h)|(n>k)))
|
(((~(~(a))&e)|k)|(z|t))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&r)
|
((i>x)>~(((z&(k&n))&~(a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h|x)>n)&t)
|
(((i|t)&(h&n))>t)
| 1 | 0 | 0 | 0 |
entailment
|
~(((k&~((h|e)))|(k>x)))
|
(((((h&x)>(a&e))|(n&r))>a)|(i|k))
| 1 | 0 | 0 | 0 |
entailment
|
(((h|x)>n)&t)
|
(((((h&x)>(a&e))|(n&r))>a)|(i|k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k&~((h|e)))|(k>x)))
|
(((i|t)&(h&n))>t)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((~((e>z))|k)))>(t|x)))
|
(~(((~(x)>r)>(n|t)))>(k|e))
| 1 | 1 | 0 | 0 |
entailment
|
((k|(z&~((a>~(x)))))&i)
|
(((r|(k&k))|a)|(~(n)>r))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((~((e>z))|k)))>(t|x)))
|
(((r|(k&k))|a)|(~(n)>r))
| 0 | 1 | 0 | 0 |
not entailment
|
((k|(z&~((a>~(x)))))&i)
|
(~(((~(x)>r)>(n|t)))>(k|e))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&(i|i))&((e&t)&~((r>((t&k)&t)))))
|
~((~(i)&(e|(a&e))))
| 1 | 1 | 0 | 0 |
entailment
|
((h&k)&(~(h)|e))
|
~((~(k)&(k|n)))
| 1 | 1 | 0 | 0 |
entailment
|
((z&(i|i))&((e&t)&~((r>((t&k)&t)))))
|
~((~(k)&(k|n)))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&k)&(~(h)|e))
|
~((~(i)&(e|(a&e))))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&t)|((r|h)&(r&i)))
|
(t|r)
| 1 | 1 | 1 | 1 |
entailment
|
(x&~((~(e)&~((~(x)&n)))))
|
((z&(e|r))|e)
| 1 | 1 | 0 | 0 |
entailment
|
((r&t)|((r|h)&(r&i)))
|
((z&(e|r))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(x&~((~(e)&~((~(x)&n)))))
|
(t|r)
| 0 | 1 | 0 | 0 |
not entailment
|
~((a|(a|(k|e))))
|
(~(((n|k)&(h&e)))|k)
| 1 | 0 | 0 | 0 |
entailment
|
(a|(~((i>h))&(e&~(a))))
|
(h>((~((k&h))>r)|a))
| 1 | 1 | 0 | 0 |
entailment
|
~((a|(a|(k|e))))
|
(h>((~((k&h))>r)|a))
| 0 | 0 | 0 | 0 |
not entailment
|
(a|(~((i>h))&(e&~(a))))
|
(~(((n|k)&(h&e)))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((z&(n>k))&((h&r)&(x&i)))
|
(i>(z|h))
| 1 | 1 | 1 | 0 |
entailment
|
(~(h)&(~(((~(k)|e)&(~(k)&a)))|r))
|
(((k>k)>h)>~(((z|r)|~((((r>n)&i)&e)))))
| 1 | 0 | 0 | 0 |
entailment
|
((z&(n>k))&((h&r)&(x&i)))
|
(((k>k)>h)>~(((z|r)|~((((r>n)&i)&e)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(h)&(~(((~(k)|e)&(~(k)&a)))|r))
|
(i>(z|h))
| 0 | 1 | 0 | 0 |
not entailment
|
((t|a)&(z&x))
|
((e|z)&x)
| 1 | 1 | 0 | 0 |
entailment
|
(n&~(((i&z)>(t|h))))
|
(((r|a)&x)|((z|(k&x))>(t>((z>t)>n))))
| 1 | 0 | 0 | 0 |
entailment
|
((t|a)&(z&x))
|
(((r|a)&x)|((z|(k&x))>(t>((z>t)>n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(n&~(((i&z)>(t|h))))
|
((e|z)&x)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((a|x))&i)
|
((((k|n)&(e|(a|e)))>z)|(x>(a>z)))
| 1 | 0 | 0 | 0 |
entailment
|
((h|r)&(((t&n)>t)>x))
|
(x|~(i))
| 1 | 1 | 0 | 0 |
entailment
|
(~((a|x))&i)
|
(x|~(i))
| 0 | 1 | 1 | 0 |
not entailment
|
((h|r)&(((t&n)>t)>x))
|
((((k|n)&(e|(a|e)))>z)|(x>(a>z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((n|k))|n))&(i&(x>h)))
|
(e>~(((((h>h)|e)|e)>~((k|a)))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&((h|~((n>i)))>(k|(x>(r&h)))))
|
(e|t)
| 1 | 1 | 0 | 0 |
entailment
|
(~((~((n|k))|n))&(i&(x>h)))
|
(e|t)
| 0 | 1 | 0 | 0 |
not entailment
|
(t&((h|~((n>i)))>(k|(x>(r&h)))))
|
(e>~(((((h>h)|e)|e)>~((k|a)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&z)
|
~(~((~(((t&z)>(r&a)))|(z|(k&e)))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(~((i>h))&((t>((a|x)|t))|(r&z))))
|
(~((i&(h&x)))|~((k|a)))
| 1 | 1 | 0 | 0 |
entailment
|
(a&z)
|
(~((i&(h&x)))|~((k|a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(t&(~((i>h))&((t>((a|x)|t))|(r&z))))
|
~(~((~(((t&z)>(r&a)))|(z|(k&e)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((n>(~(z)|~(e))))>r))
|
(~(~(((z&z)|(t&z))))&(~(z)>i))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((a>e)&x)|e)|((z>z)>(e|r))))
|
((k>~(h))|((i|r)>((k&e)>t)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((n>(~(z)|~(e))))>r))
|
((k>~(h))|((i|r)>((k&e)>t)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((a>e)&x)|e)|((z>z)>(e|r))))
|
(~(~(((z&z)|(t&z))))&(~(z)>i))
| 0 | 1 | 0 | 0 |
not entailment
|
((e&~(z))|~(((i&r)|z)))
|
(~((z>((i&~(n))&a)))>(z>((~(x)|z)>h)))
| 1 | 0 | 0 | 0 |
entailment
|
((z&e)|(a|e))
|
((n>a)|((t|e)&n))
| 1 | 0 | 0 | 0 |
entailment
|
((e&~(z))|~(((i&r)|z)))
|
((n>a)|((t|e)&n))
| 0 | 1 | 0 | 0 |
not entailment
|
((z&e)|(a|e))
|
(~((z>((i&~(n))&a)))>(z>((~(x)|z)>h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&d)
|
(w>d)
| 1 | 1 | 0 | 0 |
entailment
|
(((j|~((k|q)))|~((u>w)))&(k&(k>w)))
|
~(~((d>j)))
| 1 | 1 | 0 | 0 |
entailment
|
(q&d)
|
~(~((d>j)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((j|~((k|q)))|~((u>w)))&(k&(k>w)))
|
(w>d)
| 0 | 1 | 0 | 0 |
not entailment
|
(((u>d)&j)&((q>((b>j)&b))&(j>(d&b))))
|
((d&b)|j)
| 1 | 1 | 1 | 1 |
entailment
|
~(((u>((w&q)>(u&b)))|d))
|
((d>u)|(((k>d)&d)>u))
| 1 | 1 | 0 | 0 |
entailment
|
(((u>d)&j)&((q>((b>j)&b))&(j>(d&b))))
|
((d>u)|(((k>d)&d)>u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((u>((w&q)>(u&b)))|d))
|
((d&b)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(j)|j)>~((j|u)))&k)
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
(((b&k)&((j>(b>j))>w))&((b&d)&b))
|
(~(b)>~((k&d)))
| 1 | 1 | 1 | 0 |
entailment
|
(((~(j)|j)>~((j|u)))&k)
|
(~(b)>~((k&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((b&k)&((j>(b>j))>w))&((b&d)&b))
|
~(j)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(((b&(d&d))>j))|d)
|
(~(~(j))>(d&((b|(d>d))&j)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~((k&(q&j))))
|
(j&((~(b)&b)>(w>(d&(u&d)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((b&(d&d))>j))|d)
|
(j&((~(b)&b)>(w>(d&(u&d)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((k&(q&j))))
|
(~(~(j))>(d&((b|(d>d))&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((q&b)&~(((~(k)>k)>w)))
|
(((b&j)|b)&((((d>d)>u)&k)>(k&k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(j)
|
((j|(~(~(((d>j)&(j&(~(d)|k)))))|w))>w)
| 1 | 0 | 0 | 0 |
entailment
|
((q&b)&~(((~(k)>k)>w)))
|
((j|(~(~(((d>j)&(j&(~(d)|k)))))|w))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
~(j)
|
(((b&j)|b)&((((d>d)>u)&k)>(k&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(k))
|
(b>k)
| 1 | 1 | 0 | 0 |
entailment
|
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