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 |
|---|---|---|---|---|---|---|
~(~(~(((((j>z)>b)&(b&~(a)))>j))))
|
(((a&((t>r)&t))|(b>~((~(r)|(h&b)))))>h)
| 0 | 0 | 0 | 0 |
not entailment
|
(y&t)
|
((y|(h&g))|(g>((z&h)&b)))
| 1 | 0 | 0 | 0 |
entailment
|
((g&z)&((r|j)|((r&(~(r)&h))>(t&h))))
|
(~((g|b))|~(~((h>z))))
| 1 | 1 | 0 | 0 |
entailment
|
(y&t)
|
(~((g|b))|~(~((h>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((g&z)&((r|j)|((r&(~(r)&h))>(t&h))))
|
((y|(h&g))|(g>((z&h)&b)))
| 0 | 1 | 0 | 0 |
not entailment
|
((h&a)&(~((y&~(g)))>(u>((j>z)>u))))
|
((g>a)>h)
| 1 | 1 | 1 | 0 |
entailment
|
~(~((~(z)&(j|y))))
|
(~(((z&(y>j))&(~(t)>(b>(z|(t>y))))))|y)
| 1 | 0 | 0 | 0 |
entailment
|
((h&a)&(~((y&~(g)))>(u>((j>z)>u))))
|
(~(((z&(y>j))&(~(t)>(b>(z|(t>y))))))|y)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(z)&(j|y))))
|
((g>a)>h)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y>(g&z))|(b>r)))
|
(((j&h)|r)>h)
| 1 | 1 | 0 | 0 |
entailment
|
(a&(g>~(h)))
|
~(~((a|(h>a))))
| 1 | 0 | 1 | 1 |
entailment
|
~(((y>(g&z))|(b>r)))
|
~(~((a|(h>a))))
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(g>~(h)))
|
(((j&h)|r)>h)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((u>(b|~((t>j)))))|z))&~(~(a)))
|
(b>(z>a))
| 1 | 1 | 1 | 0 |
entailment
|
(h&z)
|
((t|h)|b)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((u>(b|~((t>j)))))|z))&~(~(a)))
|
((t|h)|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(h&z)
|
(b>(z>a))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((~((g&(r&u)))&(y>r))))>z))
|
(((h|a)|((r|b)>(j&u)))|(~((z>y))>b))
| 1 | 1 | 0 | 0 |
entailment
|
(~(j)&(u>g))
|
((t>(a|b))>~((((j>h)>j)&t)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((~((g&(r&u)))&(y>r))))>z))
|
((t>(a|b))>~((((j>h)>j)&t)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(j)&(u>g))
|
(((h|a)|((r|b)>(j&u)))|(~((z>y))>b))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(h)&~((((~((r|y))>j)|j)&(y>g))))
|
((j|y)>((y&~(g))&(h>(y|b))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((t>t)|g)&h)|(a>t)))
|
~(t)
| 1 | 1 | 1 | 1 |
entailment
|
(~(h)&~((((~((r|y))>j)|j)&(y>g))))
|
~(t)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((t>t)|g)&h)|(a>t)))
|
((j|y)>((y&~(g))&(h>(y|b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&a)
|
(g|j)
| 1 | 1 | 0 | 0 |
entailment
|
((a|((b>j)|b))>((((j>z)|j)&b)&u))
|
(((r>h)>(t&(h&z)))>((b|y)>u))
| 1 | 1 | 0 | 0 |
entailment
|
(g&a)
|
(((r>h)>(t&(h&z)))>((b|y)>u))
| 0 | 0 | 0 | 0 |
not entailment
|
((a|((b>j)|b))>((((j>z)|j)&b)&u))
|
(g|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(a&~((((j&j)|(y>(h&t)))|(j|b))))
|
(~(((a|b)|t))>j)
| 1 | 1 | 1 | 0 |
entailment
|
~((((j|h)&z)|(~(z)|u)))
|
~((~(u)>(j&t)))
| 1 | 1 | 0 | 0 |
entailment
|
(a&~((((j&j)|(y>(h&t)))|(j|b))))
|
~((~(u)>(j&t)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((j|h)&z)|(~(z)|u)))
|
(~(((a|b)|t))>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(((j|(s|j))|h)>(~((j|w))&(~(s)|y)))
|
~(((j&(d>j))|(j&j)))
| 1 | 1 | 0 | 0 |
entailment
|
(((d>(z>d))&z)&(n&~(~(~(~(f))))))
|
(f|((d|n)&y))
| 1 | 1 | 0 | 0 |
entailment
|
(((j|(s|j))|h)>(~((j|w))&(~(s)|y)))
|
(f|((d|n)&y))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d>(z>d))&z)&(n&~(~(~(~(f))))))
|
~(((j&(d>j))|(j&j)))
| 0 | 1 | 0 | 0 |
not entailment
|
((d&(h>o))&(s&h))
|
(~((~((~(s)>~((w&n))))|~(~(s))))|s)
| 1 | 0 | 0 | 0 |
entailment
|
((((j>s)|((~(w)>z)&h))>y)&(y>z))
|
((n|s)>(w|(j|z)))
| 1 | 1 | 0 | 0 |
entailment
|
((d&(h>o))&(s&h))
|
((n|s)>(w|(j|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((j>s)|((~(w)>z)&h))>y)&(y>z))
|
(~((~((~(s)>~((w&n))))|~(~(s))))|s)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((f|s)>((w|s)&s)))&(f&(f&(f|s))))
|
(j>(((j>f)>z)|(s>n)))
| 1 | 1 | 0 | 0 |
entailment
|
~((s>(j>y)))
|
(j|j)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((f|s)>((w|s)&s)))&(f&(f&(f|s))))
|
(j|j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((s>(j>y)))
|
(j>(((j>f)>z)|(s>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f|((z>o)|(w|n))))
|
~((((f&~(s))|(f>y))&(~((j&w))>o)))
| 1 | 0 | 0 | 0 |
entailment
|
(((h>j)&n)&f)
|
(~(((~((f|d))&d)|j))|f)
| 1 | 0 | 0 | 0 |
entailment
|
~((f|((z>o)|(w|n))))
|
(~(((~((f|d))&d)|j))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
(((h>j)&n)&f)
|
~((((f&~(s))|(f>y))&(~((j&w))>o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~((~(n)|n))|n)>~((w&(h>j)))))
|
(d|(n|h))
| 1 | 1 | 0 | 0 |
entailment
|
~((y|(f>o)))
|
(~(~(h))>(y|f))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((~(n)|n))|n)>~((w&(h>j)))))
|
(~(~(h))>(y|f))
| 0 | 1 | 0 | 0 |
not entailment
|
~((y|(f>o)))
|
(d|(n|h))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((d|w))>~(~(~((n&y))))))
|
((f&f)|(~(n)>((z&~(j))&(~(j)&z))))
| 1 | 0 | 0 | 0 |
entailment
|
(j|~(~(f)))
|
~(~((((z|o)|j)|f)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((d|w))>~(~(~((n&y))))))
|
~(~((((z|o)|j)|f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(j|~(~(f)))
|
((f&f)|(~(n)>((z&~(j))&(~(j)&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((n&s)|((s>j)&d))>(f&h)))
|
((f>h)>((((y&~(y))>~((s|s)))&j)>~(f)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((o>(d|~(o))))|((~(n)>n)&(y|n)))
|
((s>n)>(n|o))
| 1 | 1 | 0 | 0 |
entailment
|
~((((n&s)|((s>j)&d))>(f&h)))
|
((s>n)>(n|o))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((o>(d|~(o))))|((~(n)>n)&(y|n)))
|
((f>h)>((((y&~(y))>~((s|s)))&j)>~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((w&y)|n)>(((s|y)&(j|o))>h))>~((h|w)))
|
~(h)
| 1 | 1 | 1 | 1 |
entailment
|
~(s)
|
(~(((~((h|y))&(s&f))>(o&h)))>(j&(y>o)))
| 1 | 0 | 0 | 0 |
entailment
|
((((w&y)|n)>(((s|y)&(j|o))>h))>~((h|w)))
|
(~(((~((h|y))&(s&f))>(o&h)))>(j&(y>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(s)
|
~(h)
| 0 | 1 | 0 | 0 |
not entailment
|
~((s|~((y&(h&d)))))
|
(~(~(w))|(((y>w)&f)>h))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(d)>j))
|
~(~((~(j)|(d>s))))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|~((y&(h&d)))))
|
~(~((~(j)|(d>s))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(d)>j))
|
(~(~(w))|(((y>w)&f)>h))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h&(~(w)&d))>w)&o)
|
(o|(o|(h>f)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((~(z)|(f|~((n&j)))))))
|
((h>(((n|n)&d)&((d|f)>w)))>n)
| 1 | 1 | 0 | 0 |
entailment
|
(((h&(~(w)&d))>w)&o)
|
((h>(((n|n)&d)&((d|f)>w)))>n)
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((~(z)|(f|~((n&j)))))))
|
(o|(o|(h>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((s&~(f))&o))|((~(j)|h)|z)))
|
~((~((d&w))&~((n>s))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&(~(s)&~(((s|o)>f))))
|
~((d|s))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((s&~(f))&o))|((~(j)|h)|z)))
|
~((d|s))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)&(~(s)&~(((s|o)>f))))
|
~((~((d&w))&~((n>s))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((n>(d&~(y))))
|
(w>n)
| 1 | 1 | 0 | 0 |
entailment
|
((((~((~(j)|f))>(d&f))>(z|d))>s)&d)
|
((z>((s>f)>d))&d)
| 1 | 1 | 1 | 0 |
entailment
|
~((n>(d&~(y))))
|
((z>((s>f)>d))&d)
| 0 | 1 | 0 | 0 |
not entailment
|
((((~((~(j)|f))>(d&f))>(z|d))>s)&d)
|
(w>n)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((w&d)&o)>y))
|
((y>n)>o)
| 1 | 1 | 0 | 0 |
entailment
|
(z&s)
|
((o&(~(f)|h))>(((z|h)&(y>z))>(h|(n>s))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((w&d)&o)>y))
|
((o&(~(f)|h))>(((z|h)&(y>z))>(h|(n>s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&s)
|
((y>n)>o)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((~(j)&(o>d))))&(n>(s&(n>j))))
|
((j|n)>((~(~(d))|(o&~(w)))|(n>f)))
| 1 | 1 | 0 | 0 |
entailment
|
(((z&s)&((o&(o>y))|y))&(((s&n)>w)>y))
|
(((s>n)>z)&(((d&w)&(o>d))|(z|(~(w)|f))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((~(j)&(o>d))))&(n>(s&(n>j))))
|
(((s>n)>z)&(((d&w)&(o>d))|(z|(~(w)|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z&s)&((o&(o>y))|y))&(((s&n)>w)>y))
|
((j|n)>((~(~(d))|(o&~(w)))|(n>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
((j&o)&((~((d>n))|~((d|y)))&(n&f)))
|
(((o|(z>d))&((f&w)|n))>((w>s)|n))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(d))&f)
|
((z&~(d))>((d&(z>~(o)))&y))
| 1 | 0 | 0 | 0 |
entailment
|
((j&o)&((~((d>n))|~((d|y)))&(n&f)))
|
((z&~(d))>((d&(z>~(o)))&y))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(d))&f)
|
(((o|(z>d))&((f&w)|n))>((w>s)|n))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s|n)|((w>f)>h)))
|
(((s|s)&j)>(f|~((~(w)|z))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((o>n)>(w>d))&n))&n)
|
(y|n)
| 1 | 1 | 0 | 0 |
entailment
|
~(((s|n)|((w>f)>h)))
|
(y|n)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((o>n)>(w>d))&n))&n)
|
(((s|s)&j)>(f|~((~(w)|z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(f)&~(s))&w)
|
~((n&s))
| 1 | 1 | 0 | 0 |
entailment
|
(s&z)
|
(~(y)|(((s|z)|(j&(h&y)))|~(y)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(f)&~(s))&w)
|
(~(y)|(((s|z)|(j&(h&y)))|~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
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