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 |
|---|---|---|---|---|---|---|
((w&~(z))&((d>h)&w))
|
((h&(((h&z)&d)|e))|(e|w))
| 1 | 0 | 0 | 0 |
entailment
|
~((((b>(h>b))>d)|(z|(h&z))))
|
((w&d)>((((h>(z>d))>((h>h)|z))|h)&~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
((w&~(z))&((d>h)&w))
|
((w&d)>((((h>(z>d))>((h>h)|z))|h)&~(d)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((b>(h>b))>d)|(z|(h&z))))
|
((h&(((h&z)&d)|e))|(e|w))
| 0 | 1 | 0 | 0 |
not entailment
|
((k>y)&~((y|(k|~((l>y))))))
|
(l>(k&(y>(y>w))))
| 1 | 1 | 0 | 0 |
entailment
|
(w>((l|(y|k))&~((w|(k&(~(l)&l))))))
|
((k>w)>~(~(((w>(w>k))|l))))
| 1 | 1 | 1 | 1 |
entailment
|
((k>y)&~((y|(k|~((l>y))))))
|
((k>w)>~(~(((w>(w>k))|l))))
| 0 | 1 | 0 | 0 |
not entailment
|
(w>((l|(y|k))&~((w|(k&(~(l)&l))))))
|
(l>(k&(y>(y>w))))
| 0 | 1 | 1 | 0 |
not entailment
|
((w>k)&w)
|
((~(l)&~(~(l)))|k)
| 1 | 0 | 0 | 0 |
entailment
|
(~(((w&y)|~(l)))&~((w&(w|y))))
|
(k>(w>l))
| 1 | 1 | 0 | 0 |
entailment
|
((w>k)&w)
|
(k>(w>l))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((w&y)|~(l)))&~((w&(w|y))))
|
((~(l)&~(~(l)))|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((((k&(l>k))|k)|w)|(((w>k)&k)|(~(y)&w)))
|
((w>k)>k)
| 1 | 1 | 1 | 0 |
entailment
|
(l&((((((y&l)|y)>y)>w)&(l>y))>~((l|w))))
|
(l|l)
| 1 | 1 | 1 | 1 |
entailment
|
((((k&(l>k))|k)|w)|(((w>k)&k)|(~(y)&w)))
|
(l|l)
| 0 | 1 | 1 | 0 |
not entailment
|
(l&((((((y&l)|y)>y)>w)&(l>y))>~((l|w))))
|
((w>k)>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&k)
|
((k&~(~(k)))|(l|l))
| 1 | 0 | 1 | 1 |
entailment
|
~(l)
|
~(((l&(l>(k>(w|((k&(k>w))|k)))))&(l>w)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&k)
|
~(((l&(l>(k>(w|((k&(k>w))|k)))))&(l>w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(l)
|
((k&~(~(k)))|(l|l))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k>(l&w))>(l&(w>l)))&(l|l))
|
((y&k)|(~(l)>(y&y)))
| 1 | 1 | 0 | 0 |
entailment
|
(k|((w|y)>(~((w>y))&l)))
|
((~(y)|k)|~(w))
| 1 | 1 | 1 | 1 |
entailment
|
(((k>(l&w))>(l&(w>l)))&(l|l))
|
((~(y)|k)|~(w))
| 0 | 1 | 0 | 0 |
not entailment
|
(k|((w|y)>(~((w>y))&l)))
|
((y&k)|(~(l)>(y&y)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((w>w)>((w&~(((w|y)>(k&y))))|l)))
|
~(((y&l)&(y|w)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((~(l)|(l&(y&k)))))>(k&(l|l)))
|
(((k>y)&(~(k)>(y|l)))|l)
| 1 | 1 | 1 | 0 |
entailment
|
~(((w>w)>((w&~(((w|y)>(k&y))))|l)))
|
(((k>y)&(~(k)>(y|l)))|l)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((~(l)|(l&(y&k)))))>(k&(l|l)))
|
~(((y&l)&(y|w)))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(k|(y&(((k&l)>l)&w))))
|
(~(~(((k>l)|~(w))))|y)
| 1 | 1 | 1 | 0 |
entailment
|
((y>(~(y)|(y>(y&l))))>w)
|
(w|y)
| 1 | 1 | 1 | 1 |
entailment
|
(l&(k|(y&(((k&l)>l)&w))))
|
(w|y)
| 0 | 1 | 1 | 1 |
not entailment
|
((y>(~(y)|(y>(y&l))))>w)
|
(~(~(((k>l)|~(w))))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(((w>w)|~(~((k|l))))>~((l|y))))
|
(k&(~(((y>y)|(w>l)))>~(k)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((l|w)>(y|y)))
|
((w|l)|(l&y))
| 1 | 1 | 1 | 0 |
entailment
|
(k&(((w>w)|~(~((k|l))))>~((l|y))))
|
((w|l)|(l&y))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((l|w)>(y|y)))
|
(k&(~(((y>y)|(w>l)))>~(k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((k|w)>k)>l)|~(~(l)))&k)
|
~(~(~((~(k)|~(l)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(((((w|w)>(y&k))>(y&k))>(y|k)))
|
~((((y|k)>k)&((l&k)&k)))
| 1 | 1 | 0 | 0 |
entailment
|
(((((k|w)>k)>l)|~(~(l)))&k)
|
~((((y|k)>k)&((l&k)&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((w|w)>(y&k))>(y&k))>(y|k)))
|
~(~(~((~(k)|~(l)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((y&k)|((y|k)>k))
|
(y>k)
| 1 | 1 | 1 | 1 |
entailment
|
(y|((l|l)|((y&k)&l)))
|
((w|(y|l))|~(~(w)))
| 1 | 1 | 0 | 0 |
entailment
|
((y&k)|((y|k)>k))
|
((w|(y|l))|~(~(w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y|((l|l)|((y&k)&l)))
|
(y>k)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(((k&k)&y))&(k>k)))
|
~(~(((~(w)&y)|(k|y))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(((k|l)&l))>k)|((~(y)&(w>y))|y)))
|
(~(k)&(k>(w&w)))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(((k&k)&y))&(k>k)))
|
(~(k)&(k>(w&w)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(((k|l)&l))>k)|((~(y)&(w>y))|y)))
|
~(~(((~(w)&y)|(k|y))))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(w)&(k&l))
|
~((w&((k|l)&(((y>w)|w)>y))))
| 1 | 0 | 0 | 0 |
entailment
|
~((l|~((y|((y&l)|w)))))
|
(k>~(l))
| 1 | 1 | 0 | 0 |
entailment
|
(~(w)&(k&l))
|
(k>~(l))
| 0 | 1 | 1 | 0 |
not entailment
|
~((l|~((y|((y&l)|w)))))
|
~((w&((k|l)&(((y>w)|w)>y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((l&y))>~(k)))&l)
|
(k&k)
| 1 | 1 | 1 | 1 |
entailment
|
(~((((k>y)>w)|w))&(l|(k|l)))
|
~((w&(l>(y|l))))
| 1 | 1 | 1 | 0 |
entailment
|
(~((~((l&y))>~(k)))&l)
|
~((w&(l>(y|l))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((((k>y)>w)|w))&(l|(k|l)))
|
(k&k)
| 0 | 1 | 1 | 1 |
not entailment
|
((y&l)>~(l))
|
(~((y>(l>k)))>k)
| 1 | 0 | 0 | 0 |
entailment
|
((l&w)&w)
|
((k&k)>(~(~(w))|((k>l)>y)))
| 1 | 0 | 0 | 0 |
entailment
|
((y&l)>~(l))
|
((k&k)>(~(~(w))|((k>l)>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&w)&w)
|
(~((y>(l>k)))>k)
| 0 | 0 | 0 | 0 |
not entailment
|
(((k>y)&((y&y)&(w|w)))&k)
|
(y>k)
| 1 | 1 | 1 | 0 |
entailment
|
((l|~(((k>(w>k))|(k>(k|k)))))&~((w&w)))
|
(y>l)
| 1 | 1 | 0 | 0 |
entailment
|
(((k>y)&((y&y)&(w|w)))&k)
|
(y>l)
| 0 | 1 | 0 | 0 |
not entailment
|
((l|~(((k>(w>k))|(k>(k|k)))))&~((w&w)))
|
(y>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(y))&~((k>w)))
|
(l|y)
| 1 | 1 | 0 | 0 |
entailment
|
((l|w)&~((((y&(y>w))>w)&k)))
|
~(((w|l)>k))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(y))&~((k>w)))
|
~(((w|l)>k))
| 0 | 1 | 0 | 0 |
not entailment
|
((l|w)&~((((y&(y>w))>w)&k)))
|
(l|y)
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~((i>~(~(~(((i|(i&i))|i))))))))
|
~(~(((((i>i)>i)|i)&(i&((i&i)&i)))))
| 1 | 1 | 1 | 0 |
entailment
|
(((i|i)|i)>~(i))
|
~((((i&~((i&i)))|i)|i))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~((i>~(~(~(((i|(i&i))|i))))))))
|
~((((i&~((i&i)))|i)|i))
| 0 | 1 | 1 | 0 |
not entailment
|
(((i|i)|i)>~(i))
|
~(~(((((i>i)>i)|i)&(i&((i&i)&i)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(i|(~((i&i))>~((~((i>i))>i))))
|
(i|i)
| 1 | 1 | 1 | 1 |
entailment
|
~((((i|i)|i)&i))
|
~(i)
| 1 | 1 | 1 | 1 |
entailment
|
(i|(~((i&i))>~((~((i>i))>i))))
|
~(i)
| 0 | 1 | 1 | 1 |
not entailment
|
~((((i|i)|i)&i))
|
(i|i)
| 0 | 1 | 1 | 0 |
not entailment
|
(s&(s&f))
|
((m|s)|(f&(f>f)))
| 1 | 0 | 0 | 0 |
entailment
|
((m>f)&(s>((m>s)>m)))
|
(((s|s)&f)>m)
| 1 | 1 | 1 | 0 |
entailment
|
(s&(s&f))
|
(((s|s)&f)>m)
| 0 | 0 | 0 | 0 |
not entailment
|
((m>f)&(s>((m>s)>m)))
|
((m|s)|(f&(f>f)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(~(((s|s)&((m>s)|m)))))
|
(~(~(~(~(m))))|~(s))
| 1 | 1 | 1 | 1 |
entailment
|
((f&f)&((f&s)|s))
|
(((m|s)&f)|(~(~((f|f)))|(s&s)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((s|s)&((m>s)|m)))))
|
(((m|s)&f)|(~(~((f|f)))|(s&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&f)&((f&s)|s))
|
(~(~(~(~(m))))|~(s))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(~((f|f))&(f>m)))
|
(~(~((f&f)))|((m|m)&(f|((s>s)&(m>m)))))
| 1 | 0 | 0 | 0 |
entailment
|
(s&s)
|
((f>(f>m))>s)
| 1 | 0 | 0 | 0 |
entailment
|
(m&(~((f|f))&(f>m)))
|
((f>(f>m))>s)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&s)
|
(~(~((f&f)))|((m|m)&(f|((s>s)&(m>m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&~(~(m)))&f)
|
~(((s&(f&s))>~(s)))
| 1 | 0 | 1 | 1 |
entailment
|
~(((m&(f>f))>f))
|
(~((f&(f&s)))&(((f&s)|(~(s)>(m&s)))|m))
| 1 | 0 | 0 | 0 |
entailment
|
((s&~(~(m)))&f)
|
(~((f&(f&s)))&(((f&s)|(~(s)>(m&s)))|m))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((m&(f>f))>f))
|
~(((s&(f&s))>~(s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(f)>(m&s))
|
(m|(~(~(m))|(s>f)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(m)))
|
((f>(f>m))>~(m))
| 1 | 0 | 0 | 0 |
entailment
|
(~(f)>(m&s))
|
((f>(f>m))>~(m))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~(~(m)))
|
(m|(~(~(m))|(s>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((m|f)&m)
|
((m|s)|f)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((s>s)>m))&(((s|s)&s)>(s|(f|f))))
|
((s&m)|~(m))
| 1 | 1 | 1 | 0 |
entailment
|
((m|f)&m)
|
((s&m)|~(m))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((s>s)>m))&(((s|s)&s)>(s|(f|f))))
|
((m|s)|f)
| 0 | 1 | 1 | 0 |
not entailment
|
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