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 |
|---|---|---|---|---|---|---|
~(~(((r>z)&~(~((r|u))))))
|
(f|(u|(((r|u)&(z>z))|~(~(((f>r)&z))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(z)
|
(z>(u&((z>(f&(f>(f&(z&f)))))&(f>r))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((r>z)&~(~((r|u))))))
|
(z>(u&((z>(f&(f>(f&(z&f)))))&(f>r))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(z)
|
(f|(u|(((r|u)&(z>z))|~(~(((f>r)&z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~((~(f)|u))&(u>r))))
|
((~(z)>f)|~(~(((z>f)>r))))
| 1 | 1 | 0 | 0 |
entailment
|
(u&~((~((u|r))|f)))
|
(u&u)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~((~(f)|u))&(u>r))))
|
(u&u)
| 0 | 1 | 1 | 0 |
not entailment
|
(u&~((~((u|r))|f)))
|
((~(z)>f)|~(~(((z>f)>r))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((z|r))
|
((z&((z&u)|r))>r)
| 1 | 0 | 0 | 0 |
entailment
|
((f&(z&u))&(~(~(u))|(z|(z|z))))
|
((((r&r)|(u|r))>f)|r)
| 1 | 1 | 0 | 0 |
entailment
|
~((z|r))
|
((((r&r)|(u|r))>f)|r)
| 0 | 0 | 0 | 0 |
not entailment
|
((f&(z&u))&(~(~(u))|(z|(z|z))))
|
((z&((z&u)|r))>r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((u&r)&(~(z)>z))&((u|u)>f))
|
((((u>r)|r)&r)|((r&(z>(r&f)))|(r|r)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(f)&(f>r))
|
~(~(~(f)))
| 1 | 1 | 1 | 1 |
entailment
|
(((u&r)&(~(z)>z))&((u|u)>f))
|
~(~(~(f)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(f)&(f>r))
|
((((u>r)|r)&r)|((r&(z>(r&f)))|(r|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&f)&(((z|f)&(r|r))>(u>u)))
|
~(~(((~((z>~(u)))>((u>(f&z))|f))|f)))
| 1 | 0 | 1 | 0 |
entailment
|
(z&r)
|
(~(~((z&(r|r))))&z)
| 1 | 0 | 1 | 1 |
entailment
|
((r&f)&(((z|f)&(r|r))>(u>u)))
|
(~(~((z&(r|r))))&z)
| 0 | 1 | 1 | 0 |
not entailment
|
(z&r)
|
~(~(((~((z>~(u)))>((u>(f&z))|f))|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>(z|z)))
|
((r&r)|~(~(~((~((r|~(z)))&z)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z>u)|(r&(f&u))))
|
~((r&u))
| 1 | 1 | 1 | 1 |
entailment
|
~((u>(z|z)))
|
~((r&u))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z>u)|(r&(f&u))))
|
((r&r)|~(~(~((~((r|~(z)))&z)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((z|~(f))|r))&((f>(u&u))|(f&r)))
|
(r>~(~(((z>(z|u))>u))))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((u|(((u|z)&r)|f)))>u))
|
(z|(((u>f)&f)>(((z>f)&(~(r)&z))|(z&f))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((z|~(f))|r))&((f>(u&u))|(f&r)))
|
(z|(((u>f)&f)>(((z>f)&(~(r)&z))|(z&f))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((~((u|(((u|z)&r)|f)))>u))
|
(r>~(~(((z>(z|u))>u))))
| 0 | 1 | 1 | 0 |
not entailment
|
(r&u)
|
(~((((z|u)|(r>f))&(f&u)))>(u|((f>u)&f)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&((~(((u&r)|r))|z)&~(f)))
|
~((r&~((r&z))))
| 1 | 1 | 1 | 1 |
entailment
|
(r&u)
|
~((r&~((r&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&((~(((u&r)|r))|z)&~(f)))
|
(~((((z|u)|(r>f))&(f&u)))>(u|((f>u)&f)))
| 0 | 0 | 1 | 0 |
not entailment
|
((u>f)&u)
|
((z>(r|u))&u)
| 1 | 0 | 0 | 0 |
entailment
|
~(((r>(r|r))&f))
|
(f>r)
| 1 | 1 | 1 | 1 |
entailment
|
((u>f)&u)
|
(f>r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((r>(r|r))&f))
|
((z>(r|u))&u)
| 0 | 1 | 0 | 0 |
not entailment
|
((u>r)&(~(((~(r)&f)&f))&(f&(f&(u&z)))))
|
((u|(f>z))>((r&(r|u))>z))
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~((((z>(r>u))|r)>((z|u)|f)))))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
((u>r)&(~(((~(r)&f)&f))&(f&(f&(u&z)))))
|
~(u)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~((((z>(r>u))|r)>((z|u)|f)))))
|
((u|(f>z))>((r&(r|u))>z))
| 0 | 1 | 1 | 0 |
not entailment
|
(f&(u|r))
|
~(~(((~((f&z))>(z|f))|(r>z))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((f&z)&(z|f))|u))&(z>z))
|
((u>r)|(~(u)&r))
| 1 | 1 | 0 | 0 |
entailment
|
(f&(u|r))
|
((u>r)|(~(u)&r))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((((f&z)&(z|f))|u))&(z>z))
|
~(~(((~((f&z))>(z|f))|(r>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f>(f|(r>(f&f))))&~(((~(r)>z)>~(f))))
|
(~((~(u)>~(u)))|(r>(r>((z>f)&r))))
| 1 | 1 | 0 | 0 |
entailment
|
(r&u)
|
(((((z|(z|z))&z)&z)|(u&~(u)))>(u&z))
| 1 | 0 | 0 | 0 |
entailment
|
((f>(f|(r>(f&f))))&~(((~(r)>z)>~(f))))
|
(((((z|(z|z))&z)&z)|(u&~(u)))>(u&z))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&u)
|
(~((~(u)>~(u)))|(r>(r>((z>f)&r))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(z)&(f>r))&(~(((~(f)&f)|r))|z))
|
~(((r&f)&(z>u)))
| 1 | 1 | 0 | 0 |
entailment
|
(z&r)
|
(~(r)>u)
| 1 | 0 | 0 | 0 |
entailment
|
((~(z)&(f>r))&(~(((~(f)&f)|r))|z))
|
(~(r)>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(z&r)
|
~(((r&f)&(z>u)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(((~(~(f))|z)>(u|z)))>u))
|
((((u&z)&(r>(z>r)))>f)&((u>(u>(u&z)))|r))
| 1 | 0 | 0 | 0 |
entailment
|
((u|(f>f))>u)
|
(f>((u>~(z))>((z>(r>u))&u)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((~(~(f))|z)>(u|z)))>u))
|
(f>((u>~(z))>((z>(r>u))&u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((u|(f>f))>u)
|
((((u&z)&(r>(z>r)))>f)&((u>(u>(u&z)))|r))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((f>u))&((r>u)|f))
|
(~(z)|(z&(((f&z)&z)&z)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((((f>z)|f)>r)>(f|(z>r)))&~(z)))
|
(z|(r|u))
| 1 | 1 | 0 | 0 |
entailment
|
(~((f>u))&((r>u)|f))
|
(z|(r|u))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((f>z)|f)>r)>(f|(z>r)))&~(z)))
|
(~(z)|(z&(((f&z)&z)&z)))
| 0 | 1 | 1 | 1 |
not entailment
|
~((u|u))
|
(u>(u>(r&u)))
| 1 | 0 | 0 | 0 |
entailment
|
((r&(f|u))>u)
|
(~((((f&r)&f)&(z&~((u&f)))))|(f&~(r)))
| 1 | 0 | 0 | 0 |
entailment
|
~((u|u))
|
(~((((f&r)&f)&(z&~((u&f)))))|(f&~(r)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&(f|u))>u)
|
(u>(u>(r&u)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(y))
|
((k|(y&d))>(y|(d>(b&o))))
| 1 | 0 | 0 | 0 |
entailment
|
~((j|(j|b)))
|
(((k&j)>((j|b)&d))|(~(((j&q)&(o&k)))&o))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(y))
|
(((k&j)>((j|b)&d))|(~(((j&q)&(o&k)))&o))
| 0 | 0 | 0 | 0 |
not entailment
|
~((j|(j|b)))
|
((k|(y&d))>(y|(d>(b&o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((d&d))
|
~(~(~(~((y|((d&(d>b))>u))))))
| 1 | 0 | 0 | 0 |
entailment
|
((u>~((y|~(u))))>(o>((d&b)&(j&b))))
|
(q>((d&o)|(u|(o>(k&(b|b))))))
| 1 | 1 | 0 | 0 |
entailment
|
~((d&d))
|
(q>((d&o)|(u|(o>(k&(b|b))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((u>~((y|~(u))))>(o>((d&b)&(j&b))))
|
~(~(~(~((y|((d&(d>b))>u))))))
| 0 | 1 | 1 | 0 |
not entailment
|
((u|d)&~(q))
|
(d|~(~((k|(o|u)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((o|y)>j)|q))
|
(((j&j)>k)|q)
| 1 | 1 | 0 | 0 |
entailment
|
((u|d)&~(q))
|
(((j&j)>k)|q)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((o|y)>j)|q))
|
(d|~(~((k|(o|u)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(u&(b&d))
|
(k>(b|~(~(u))))
| 1 | 0 | 0 | 0 |
entailment
|
~((u|~((k&(k|q)))))
|
((k>((j|b)&o))>k)
| 1 | 1 | 0 | 0 |
entailment
|
(u&(b&d))
|
((k>((j|b)&o))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
~((u|~((k&(k|q)))))
|
(k>(b|~(~(u))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((q&(o&o))>~(~(~(((k&d)|k))))))
|
(((q|(~((o&o))&~((d&q))))&u)|o)
| 1 | 1 | 0 | 0 |
entailment
|
(b&((u>d)&(o>b)))
|
~(~(((u|b)|d)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((q&(o&o))>~(~(~(((k&d)|k))))))
|
~(~(((u|b)|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&((u>d)&(o>b)))
|
(((q|(~((o&o))&~((d&q))))&u)|o)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((j>q))>(b>~((~((u&k))>u)))))
|
~((~((u|d))&((q|~((k&(j&q))))&(y&j))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((q|d))&y)
|
(y|~((b>o)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~((j>q))>(b>~((~((u&k))>u)))))
|
(y|~((b>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((q|d))&y)
|
~((~((u|d))&((q|~((k&(j&q))))&(y&j))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b|u)>(~((q|b))|j)))
|
((((b|q)>~(~(y)))>y)|(b&(j>~(b))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(~(u))>q)|((((d>(k>y))&j)|j)>q)))
|
(((o>d)|u)|~((~((b&j))>(~(d)>q))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((b|u)>(~((q|b))|j)))
|
(((o>d)|u)|~((~((b&j))>(~(d)>q))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(~(u))>q)|((((d>(k>y))&j)|j)>q)))
|
((((b|q)>~(~(y)))>y)|(b&(j>~(b))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((q|j)>(o|y))&u)&~(((y>d)>(b&b))))
|
(~(((o&o)&k))>u)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~(((q&((q>o)>(~(u)|q)))&j)))))
|
~(~((((~((b|d))&j)&d)|q)))
| 1 | 1 | 0 | 0 |
entailment
|
((((q|j)>(o|y))&u)&~(((y>d)>(b&b))))
|
~(~((((~((b|d))&j)&d)|q)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(~(((q&((q>o)>(~(u)|q)))&j)))))
|
(~(((o&o)&k))>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&((j>d)>(y|o)))
|
((y>~((~(d)&((u>(b&y))&(~(j)>u)))))|b)
| 1 | 0 | 0 | 0 |
entailment
|
((j&y)&(q&(q&j)))
|
(y|y)
| 1 | 1 | 1 | 1 |
entailment
|
(d&((j>d)>(y|o)))
|
(y|y)
| 0 | 1 | 1 | 1 |
not entailment
|
((j&y)&(q&(q&j)))
|
((y>~((~(d)&((u>(b&y))&(~(j)>u)))))|b)
| 0 | 0 | 0 | 0 |
not entailment
|
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