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&((p&p)>j))
|
(j|((j>(b&u))>p))
| 1 | 0 | 0 | 0 |
entailment
|
(~(b)>((~(p)|b)&b))
|
(j>b)
| 1 | 1 | 0 | 0 |
entailment
|
(j&((p&p)>j))
|
(j>b)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(b)>((~(p)|b)&b))
|
(j|((j>(b&u))>p))
| 0 | 1 | 0 | 0 |
not entailment
|
~((w>e))
|
~(~(((r&x)|w)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((s|x)&y)>(y>f)))
|
((((~((y|d))>(y>r))>(f&e))|(x|y))>y)
| 1 | 0 | 0 | 0 |
entailment
|
~((w>e))
|
((((~((y|d))>(y>r))>(f&e))|(x|y))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((s|x)&y)>(y>f)))
|
~(~(((r&x)|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w>j)>(s|s))
|
(s|(~(x)|(d>~(j))))
| 1 | 0 | 0 | 0 |
entailment
|
((d|~(~((j|~(y)))))&y)
|
(f>(j>y))
| 1 | 1 | 0 | 0 |
entailment
|
((w>j)>(s|s))
|
(f>(j>y))
| 0 | 1 | 0 | 0 |
not entailment
|
((d|~(~((j|~(y)))))&y)
|
(s|(~(x)|(d>~(j))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((r|(q&x))&x)&(~(j)&e))
|
((f>r)|e)
| 1 | 1 | 0 | 0 |
entailment
|
((q&(q&j))&((~(~(d))>y)>f))
|
((e|(r>~(x)))>(w>q))
| 1 | 1 | 0 | 0 |
entailment
|
(((r|(q&x))&x)&(~(j)&e))
|
((e|(r>~(x)))>(w>q))
| 0 | 1 | 0 | 0 |
not entailment
|
((q&(q&j))&((~(~(d))>y)>f))
|
((f>r)|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(r)&~(~((y&~((w|((x|f)|s)))))))
|
(((e|~((s&(e&x))))&~((r&((e>e)>d))))|f)
| 1 | 0 | 0 | 0 |
entailment
|
(d&q)
|
((~(w)>(r&~(d)))|(~(y)|((d&r)|(j>d))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(r)&~(~((y&~((w|((x|f)|s)))))))
|
((~(w)>(r&~(d)))|(~(y)|((d&r)|(j>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&q)
|
(((e|~((s&(e&x))))&~((r&((e>e)>d))))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((d&s))|(x|(r>x))))&d)
|
~((~(d)&j))
| 1 | 1 | 0 | 0 |
entailment
|
(q&~(~(~(~(((((q|r)|r)&q)&(f>f)))))))
|
((~(e)&q)|(e|q))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~((d&s))|(x|(r>x))))&d)
|
((~(e)&q)|(e|q))
| 0 | 1 | 0 | 0 |
not entailment
|
(q&~(~(~(~(((((q|r)|r)&q)&(f>f)))))))
|
~((~(d)&j))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&x)
|
(x|((w|d)|e))
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)&r)
|
~(d)
| 1 | 1 | 1 | 1 |
entailment
|
(r&x)
|
~(d)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(d)&r)
|
(x|((w|d)|e))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&(~(f)&(d&q)))
|
(((j>d)|f)|((d&e)|y))
| 1 | 0 | 0 | 0 |
entailment
|
(j&w)
|
(~((f|w))>(((f>y)>j)|~(e)))
| 1 | 0 | 0 | 0 |
entailment
|
(x&(~(f)&(d&q)))
|
(~((f|w))>(((f>y)>j)|~(e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&w)
|
(((j>d)|f)|((d&e)|y))
| 0 | 0 | 0 | 0 |
not entailment
|
((((f&e)&~((s|(y>e))))|((x>w)>x))&(y&w))
|
(((f&q)|x)|(~((((r|d)>r)&(f&(f&f))))&f))
| 1 | 1 | 0 | 0 |
entailment
|
~((((f|~(w))>j)|(r|(s>e))))
|
(((~((r&y))&j)|j)>(d&((e&f)&((q|q)&f))))
| 1 | 0 | 0 | 0 |
entailment
|
((((f&e)&~((s|(y>e))))|((x>w)>x))&(y&w))
|
(((~((r&y))&j)|j)>(d&((e&f)&((q|q)&f))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f|~(w))>j)|(r|(s>e))))
|
(((f&q)|x)|(~((((r|d)>r)&(f&(f&f))))&f))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|w)&(~((f>~(d)))>~(j)))
|
(r|(y|w))
| 1 | 1 | 0 | 0 |
entailment
|
(~((d>(e&j)))&s)
|
~(((x|(((q&y)>f)&j))&~((q|s))))
| 1 | 0 | 0 | 0 |
entailment
|
((y|w)&(~((f>~(d)))>~(j)))
|
~(((x|(((q&y)>f)&j))&~((q|s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((d>(e&j)))&s)
|
(r|(y|w))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((e>q)>(~((q|x))>e)))>s))
|
(((q|s)&(q>f))>f)
| 1 | 1 | 0 | 0 |
entailment
|
(((w|w)>(~(e)|(q>~(s))))&(d&e))
|
((w|d)|(j&x))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(((e>q)>(~((q|x))>e)))>s))
|
((w|d)|(j&x))
| 0 | 1 | 0 | 0 |
not entailment
|
(((w|w)>(~(e)|(q>~(s))))&(d&e))
|
(((q|s)&(q>f))>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((e&(r|(q&x)))&q)
|
((~((w&w))&r)|~(~(e)))
| 1 | 0 | 0 | 0 |
entailment
|
(x&(w>q))
|
(((j>y)|(j|s))&(w|x))
| 1 | 0 | 0 | 0 |
entailment
|
((e&(r|(q&x)))&q)
|
(((j>y)|(j|s))&(w|x))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&(w>q))
|
((~((w&w))&r)|~(~(e)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(w))
|
((~((w|q))>x)|(y&~(j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((d&y)|j))&s)
|
((d|x)|~((q&(w&j))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(w))
|
((d|x)|~((q&(w&j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((d&y)|j))&s)
|
((~((w|q))>x)|(y&~(j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((q>(q&(w>((d|y)>j)))))))
|
((~(f)>((e|s)&e))>(s|q))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((~(r)>(j&w))|~((((x|q)&d)&x))))|x)
|
(f|(x|~((s>s))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((q>(q&(w>((d|y)>j)))))))
|
(f|(x|~((s>s))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((~(r)>(j&w))|~((((x|q)&d)&x))))|x)
|
((~(f)>((e|s)&e))>(s|q))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((x>(f&j))|q))
|
(q|(x|f))
| 1 | 1 | 1 | 0 |
entailment
|
((((q|s)>w)>j)&w)
|
(((q&j)>r)>(x>j))
| 1 | 1 | 0 | 0 |
entailment
|
~(((x>(f&j))|q))
|
(((q&j)>r)>(x>j))
| 0 | 1 | 0 | 0 |
not entailment
|
((((q|s)>w)>j)&w)
|
(q|(x|f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((e|(((y|x)>r)|q))&(s>w)))))
|
~((((f&w)&(r&s))&j))
| 1 | 1 | 0 | 0 |
entailment
|
~((d>e))
|
(((~(d)&j)>r)|(y&((s&j)&~(((r&j)|w)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((e|(((y|x)>r)|q))&(s>w)))))
|
(((~(d)&j)>r)|(y&((s&j)&~(((r&j)|w)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((d>e))
|
~((((f&w)&(r&s))&j))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&w)
|
(((f|x)&(j>(~(j)>(j&(d>s)))))|((q>w)|e))
| 1 | 0 | 0 | 0 |
entailment
|
(s&d)
|
((((x&(e>(s|f)))>(s&d))|q)|((f|(x&f))|e))
| 1 | 0 | 0 | 0 |
entailment
|
(j&w)
|
((((x&(e>(s|f)))>(s&d))|q)|((f|(x&f))|e))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&d)
|
(((f|x)&(j>(~(j)>(j&(d>s)))))|((q>w)|e))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~((f|r))))
|
(~((s&f))|~(y))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((d&((y&r)&w))))
|
~(~(((s>(s&s))&y)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~((f|r))))
|
~(~(((s>(s&s))&y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((d&((y&r)&w))))
|
(~((s&f))|~(y))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&~(f))
|
((((~(d)>j)&(f&r))>q)>(f>d))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(j))>w)>~(~(j)))
|
((((s>y)>(e>x))|j)|~(d))
| 1 | 1 | 0 | 0 |
entailment
|
(e&~(f))
|
((((s>y)>(e>x))|j)|~(d))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(~(j))>w)>~(~(j)))
|
((((~(d)>j)&(f&r))>q)>(f>d))
| 0 | 0 | 0 | 0 |
not entailment
|
(n|n)
|
~(~(((s&s)|(n|j))))
| 1 | 0 | 0 | 0 |
entailment
|
((y&j)|(f&~((m|n))))
|
((e&f)|((y>y)>(~((n|~(f)))|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(n|n)
|
((e&f)|((y>y)>(~((n|~(f)))|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y&j)|(f&~((m|n))))
|
~(~(((s&s)|(n|j))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(n)>((e&~((j>j)))|~(f)))
|
(f>(n&f))
| 1 | 1 | 1 | 0 |
entailment
|
(((((m|m)|s)>j)>(((s|n)&f)>y))>(e&n))
|
(~(((e>n)|s))>((n>f)&~(y)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(n)>((e&~((j>j)))|~(f)))
|
(~(((e>n)|s))>((n>f)&~(y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((((m|m)|s)>j)>(((s|n)&f)>y))>(e&n))
|
(f>(n&f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(n)
|
(((n&(f>j))>~(e))>~((s&n)))
| 1 | 0 | 0 | 0 |
entailment
|
(m&(~(((s|n)&j))>~((((~(e)&f)>j)|f))))
|
(((m>y)>((m>j)|(n|f)))>(y>j))
| 1 | 1 | 0 | 0 |
entailment
|
~(n)
|
(((m>y)>((m>j)|(n|f)))>(y>j))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(~(((s|n)&j))>~((((~(e)&f)>j)|f))))
|
(((n&(f>j))>~(e))>~((s&n)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(s)&(m|s))
|
(((n|~(((y|(s>m))>y)))&((e>f)>y))|(y>m))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((e|m)&m)|f)|((~(n)|(e&j))&n)))
|
(m>e)
| 1 | 1 | 1 | 0 |
entailment
|
(~(s)&(m|s))
|
(m>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((e|m)&m)|f)|((~(n)|(e&j))&n)))
|
(((n|~(((y|(s>m))>y)))&((e>f)>y))|(y>m))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|(~(((e&j)|(n&y)))&~(~(j)))))
|
~(((s&e)&~(~(((e|n)>m)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(f))
|
((j&e)>((m|e)>(n|f)))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|(~(((e&j)|(n&y)))&~(~(j)))))
|
((j&e)>((m|e)>(n|f)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(f))
|
~(((s&e)&~(~(((e|n)>m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((y>f)|~(((((y|f)>~(j))|(y>n))&m))))
|
(y&y)
| 1 | 1 | 1 | 1 |
entailment
|
((j&m)&n)
|
((s|(y>j))|f)
| 1 | 0 | 0 | 0 |
entailment
|
~(((y>f)|~(((((y|f)>~(j))|(y>n))&m))))
|
((s|(y>j))|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((j&m)&n)
|
(y&y)
| 0 | 1 | 0 | 0 |
not entailment
|
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