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 |
|---|---|---|---|---|---|---|
(((y|y)|b)&(~(~(j))>(n>b)))
|
(~(~(((j>b)|y)))|k)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(j)|y))
|
(~(~(((j>b)|y)))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
(((y|y)|b)&(~(~(j))>(n>b)))
|
(((n|(n&n))|(k&(((y&b)>b)|y)))>(k|j))
| 0 | 0 | 0 | 0 |
not entailment
|
~((k|(~(y)>k)))
|
((n|~(y))|((y>(b>y))&~(~(k))))
| 1 | 0 | 0 | 0 |
entailment
|
(j&j)
|
(k|(j|y))
| 1 | 0 | 0 | 0 |
entailment
|
~((k|(~(y)>k)))
|
(k|(j|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(j&j)
|
((n|~(y))|((y>(b>y))&~(~(k))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((b&y)&~(~(j)))&b)&((n&k)|(j&n)))
|
~(~(((~((j|k))>b)>(y|j))))
| 1 | 1 | 1 | 0 |
entailment
|
(((b>k)>~(((n|n)>(n>n))))&b)
|
~(~((~((k&b))&(~(((k&y)|k))|(n>j)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((b&y)&~(~(j)))&b)&((n&k)|(j&n)))
|
~(~((~((k&b))&(~(((k&y)|k))|(n>j)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(((b>k)>~(((n|n)>(n>n))))&b)
|
~(~(((~((j|k))>b)>(y|j))))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&n)
|
((y&b)|(~(~((y&n)))&((n|k)&n)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((y&k)>((b|k)&(n&j))))
|
~(~(((k|j)|~(~(((j>b)>j))))))
| 1 | 0 | 1 | 0 |
entailment
|
(y&n)
|
~(~(((k|j)|~(~(((j>b)>j))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((y&k)>((b|k)&(n&j))))
|
((y&b)|(~(~((y&n)))&((n|k)&n)))
| 0 | 0 | 1 | 0 |
not entailment
|
((b&(y&(n|j)))&(((b>y)|(b|n))>n))
|
((~(y)|((y&y)>(n&(k&b))))>(~(j)>(y&k)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((j&k)&n)|~(~(y)))|((j&j)|n)))
|
(~(k)>~(j))
| 1 | 1 | 1 | 0 |
entailment
|
((b&(y&(n|j)))&(((b>y)|(b|n))>n))
|
(~(k)>~(j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((j&k)&n)|~(~(y)))|((j&j)|n)))
|
((~(y)|((y&y)>(n&(k&b))))>(~(j)>(y&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
((b&~((k>y)))&(y>(~((b>y))|y)))
|
(((y|n)|((y>k)&n))>(n|(~(j)&j)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(b)&~((b|((k|j)>(b|n)))))
|
(~((b&(k>k)))&((j>j)&(j>j)))
| 1 | 1 | 1 | 0 |
entailment
|
((b&~((k>y)))&(y>(~((b>y))|y)))
|
(~((b&(k>k)))&((j>j)&(j>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(b)&~((b|((k|j)>(b|n)))))
|
(((y|n)|((y>k)&n))>(n|(~(j)&j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((n|~(~(k)))|(n&k)))
|
((k>n)|y)
| 1 | 1 | 0 | 0 |
entailment
|
((k>y)>(b&((y>k)|n)))
|
((y>b)|n)
| 1 | 1 | 1 | 1 |
entailment
|
~(((n|~(~(k)))|(n&k)))
|
((y>b)|n)
| 0 | 1 | 0 | 0 |
not entailment
|
((k>y)>(b&((y>k)|n)))
|
((k>n)|y)
| 0 | 1 | 1 | 0 |
not entailment
|
((b&(b&y))|k)
|
(k|(n>(~(b)>~(y))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(j)&(((y|b)&n)|(y|y)))
|
(n|((~((~(y)&y))|n)&y))
| 1 | 1 | 1 | 0 |
entailment
|
((b&(b&y))|k)
|
(n|((~((~(y)&y))|n)&y))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(j)&(((y|b)&n)|(y|y)))
|
(k|(n>(~(b)>~(y))))
| 0 | 1 | 0 | 0 |
not entailment
|
(u&(a&((z&w)|(w&c))))
|
(x>a)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(w)|((w&u)|~(x))))
|
~(((y|(z|~(c)))&~(~((~(x)|(u&w))))))
| 1 | 0 | 0 | 0 |
entailment
|
(u&(a&((z&w)|(w&c))))
|
~(((y|(z|~(c)))&~(~((~(x)|(u&w))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(w)|((w&u)|~(x))))
|
(x>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(u)&((u|w)&((a|a)&((w|g)&~(g)))))
|
(g>~(~(((u|(c>u))>x))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~((~(y)>c))>a)&((w>z)|(w|c))))
|
(x|(y>g))
| 1 | 1 | 0 | 0 |
entailment
|
(~(u)&((u|w)&((a|a)&((w|g)&~(g)))))
|
(x|(y>g))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((~(y)>c))>a)&((w>z)|(w|c))))
|
(g>~(~(((u|(c>u))>x))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((g>g)>((z&g)>((a|~(g))&w)))&((a&w)&w))
|
(y>(a|z))
| 1 | 1 | 0 | 0 |
entailment
|
((w&(y&x))&((g&x)&x))
|
(~((u|c))|(~(x)|g))
| 1 | 1 | 0 | 0 |
entailment
|
(((g>g)>((z&g)>((a|~(g))&w)))&((a&w)&w))
|
(~((u|c))|(~(x)|g))
| 0 | 1 | 0 | 0 |
not entailment
|
((w&(y&x))&((g&x)&x))
|
(y>(a|z))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x|y)|~(~((a>(y&(w&(z|a))))))))
|
((a&a)|(((u|w)|(g|g))|~(~(a))))
| 1 | 1 | 0 | 0 |
entailment
|
~(z)
|
~(((~((~(g)|x))>y)&z))
| 1 | 0 | 0 | 0 |
entailment
|
~(((x|y)|~(~((a>(y&(w&(z|a))))))))
|
~(((~((~(g)|x))>y)&z))
| 0 | 1 | 0 | 0 |
not entailment
|
~(z)
|
((a&a)|(((u|w)|(g|g))|~(~(a))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((x>a))&((y&g)&(w>z)))
|
(~(~((g>(a&x))))|(c|((~(x)>w)|c)))
| 1 | 0 | 0 | 0 |
entailment
|
~((z>w))
|
~(((u>x)&w))
| 1 | 0 | 0 | 0 |
entailment
|
(~((x>a))&((y&g)&(w>z)))
|
~(((u>x)&w))
| 0 | 1 | 0 | 0 |
not entailment
|
~((z>w))
|
(~(~((g>(a&x))))|(c|((~(x)>w)|c)))
| 0 | 0 | 0 | 0 |
not entailment
|
((x&a)&g)
|
(~(a)>~((c>(w&w))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((g|w))))
|
~((((~(y)&~(((c&w)>x)))&((y>u)>z))|g))
| 1 | 0 | 0 | 0 |
entailment
|
((x&a)&g)
|
~((((~(y)&~(((c&w)>x)))&((y>u)>z))|g))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((g|w))))
|
(~(a)>~((c>(w&w))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((u&y)&a)&u)
|
(c>u)
| 1 | 1 | 0 | 0 |
entailment
|
((((g|z)|g)&~(w))&c)
|
(~(((z&w)|w))>c)
| 1 | 1 | 1 | 0 |
entailment
|
(((u&y)&a)&u)
|
(~(((z&w)|w))>c)
| 0 | 0 | 0 | 0 |
not entailment
|
((((g|z)|g)&~(w))&c)
|
(c>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(y|(c&g))
|
(~((((z|y)&z)&~(c)))|(a|y))
| 1 | 0 | 0 | 0 |
entailment
|
(((x|w)|z)>~(((c|w)|~((x&(x|w))))))
|
(~(w)|~((z|(a|z))))
| 1 | 1 | 0 | 0 |
entailment
|
(y|(c&g))
|
(~(w)|~((z|(a|z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((x|w)|z)>~(((c|w)|~((x&(x|w))))))
|
(~((((z|y)&z)&~(c)))|(a|y))
| 0 | 1 | 0 | 0 |
not entailment
|
((((x|z)>x)&(g&(c>y)))&a)
|
(((w>w)|((y&((z>z)>u))>g))&(x>(y|g)))
| 1 | 0 | 0 | 0 |
entailment
|
(w&(c|z))
|
((w>((g&z)&g))>(u>w))
| 1 | 0 | 0 | 0 |
entailment
|
((((x|z)>x)&(g&(c>y)))&a)
|
((w>((g&z)&g))>(u>w))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&(c|z))
|
(((w>w)|((y&((z>z)>u))>g))&(x>(y|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(u))&~((w>((g>c)|z))))
|
(c>(w&c))
| 1 | 1 | 1 | 0 |
entailment
|
(((w|z)&((u|x)>(a&c)))&y)
|
(y|y)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(u))&~((w>((g>c)|z))))
|
(y|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(((w|z)&((u|x)>(a&c)))&y)
|
(c>(w&c))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((g>a)|(y|c)))
|
((z>g)|(g&(~((w|u))>(a|g))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((z&~(x))&(u>z))>u))
|
~(((a>c)&~(~((u&(w|c))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((g>a)|(y|c)))
|
~(((a>c)&~(~((u&(w|c))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((z&~(x))&(u>z))>u))
|
((z>g)|(g&(~((w|u))>(a|g))))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&~(g))&(((u&c)&(u&w))|w))
|
(~((~((x>x))&((x>u)>(u&c))))>u)
| 1 | 0 | 0 | 0 |
entailment
|
(~((z|~(((~(a)&w)>g))))&w)
|
~((z&x))
| 1 | 1 | 0 | 0 |
entailment
|
((u&~(g))&(((u&c)&(u&w))|w))
|
~((z&x))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((z|~(((~(a)&w)>g))))&w)
|
(~((~((x>x))&((x>u)>(u&c))))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((x&a)&(y>(x|x)))&y))&a)
|
(~(c)>((~(((y>z)>g))|(u>(~(w)|a)))|c))
| 1 | 0 | 0 | 0 |
entailment
|
~(((w>c)|z))
|
((g>~(y))|(~(z)|x))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((x&a)&(y>(x|x)))&y))&a)
|
((g>~(y))|(~(z)|x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((w>c)|z))
|
(~(c)>((~(((y>z)>g))|(u>(~(w)|a)))|c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(x)
|
(x>(h>n))
| 1 | 0 | 0 | 0 |
entailment
|
(h&(z&c))
|
~(~((~(h)|z)))
| 1 | 0 | 1 | 0 |
entailment
|
~(x)
|
~(~((~(h)|z)))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&(z&c))
|
(x>(h>n))
| 0 | 1 | 0 | 0 |
not entailment
|
((((z|z)|(h>k))|((n&k)>~(~(x))))&~(h))
|
(h>~(~((c>z))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(x)|~(~((c|(z|x))))))|((c|k)&k))
|
(~((c>h))|k)
| 1 | 1 | 0 | 0 |
entailment
|
((((z|z)|(h>k))|((n&k)>~(~(x))))&~(h))
|
(~((c>h))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(x)|~(~((c|(z|x))))))|((c|k)&k))
|
(h>~(~((c>z))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z|z)>~(n)))
|
(z|z)
| 1 | 1 | 1 | 1 |
entailment
|
~(((((c&c)|((n|z)&n))|(~(h)|k))|z))
|
~((n&h))
| 1 | 1 | 1 | 0 |
entailment
|
~(((z|z)>~(n)))
|
~((n&h))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((c&c)|((n|z)&n))|(~(h)|k))|z))
|
(z|z)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((~((n>c))|k))|(x>h)))
|
(x|z)
| 1 | 1 | 0 | 0 |
entailment
|
~(k)
|
((x&k)>((~(z)|((c|(c&z))>k))&c))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~((n>c))|k))|(x>h)))
|
((x&k)>((~(z)|((c|(c&z))>k))&c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(k)
|
(x|z)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((z>((c&z)>~(c))))|z)
|
(z&z)
| 1 | 1 | 1 | 1 |
entailment
|
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