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>~((w|w)))
(((~(w)>h)>h)|((~(w)>h)&~((w|(h&h)))))
1
0
0
0
entailment
(~((w>h))&w)
((~((h|w))|~(h))>(w&(h|w)))
1
0
1
0
entailment
(w>~((w|w)))
((~((h|w))|~(h))>(w&(h|w)))
0
0
0
0
not entailment
(~((w>h))&w)
(((~(w)>h)>h)|((~(w)>h)&~((w|(h&h)))))
0
0
1
0
not entailment
(h|~(((h|((w>h)&(w>h)))|w)))
~(((h>~((w|(h&h))))&~((h&h))))
1
0
1
1
entailment
~(~(~(((h&w)|(w>~(w))))))
(w&(w|w))
1
1
1
1
entailment
(h|~(((h|((w>h)&(w>h)))|w)))
(w&(w|w))
0
1
1
1
not entailment
~(~(~(((h&w)|(w>~(w))))))
~(((h>~((w|(h&h))))&~((h&h))))
0
0
1
0
not entailment
~(((h&h)>(h&w)))
((w&h)|h)
1
1
1
0
entailment
~(h)
(((w>(h&h))|w)&((h>w)|~((w|h))))
1
0
0
0
entailment
~(((h&h)>(h&w)))
(((w>(h&h))|w)&((h>w)|~((w|h))))
0
0
1
0
not entailment
~(h)
((w&h)|h)
0
0
0
0
not entailment
~(w)
((h|~((h|w)))|h)
1
0
0
0
entailment
~((((w>((h&w)>(h>(w&h))))&h)&(h&h)))
((h>w)&((h|((~((h&h))|h)>h))>(h|(h>h))))
1
0
1
1
entailment
~(w)
((h>w)&((h|((~((h&h))|h)>h))>(h|(h>h))))
0
0
0
0
not entailment
~((((w>((h&w)>(h>(w&h))))&h)&(h&h)))
((h|~((h|w)))|h)
0
1
1
1
not entailment
~((w>h))
~((((((h|h)|w)|w)&h)&((h>w)|w)))
1
0
1
0
entailment
(h&w)
(w>(h&h))
1
0
1
0
entailment
~((w>h))
(w>(h&h))
0
1
1
0
not entailment
(h&w)
~((((((h|h)|w)|w)&h)&((h>w)|w)))
0
0
1
0
not entailment
(w&w)
(((h&w)>w)>w)
1
0
0
0
entailment
(h|h)
(h|((((w>h)>h)>~(w))&w))
1
0
0
0
entailment
(w&w)
(h|((((w>h)>h)>~(w))&w))
0
0
0
0
not entailment
(h|h)
(((h&w)>w)>w)
0
0
0
0
not entailment
(~((((h&h)&~(w))|~((w|w))))&(w&(h|w)))
(w&(~((w&h))>((h&h)|w)))
1
1
1
1
entailment
~(h)
~((w&~((((w|h)&h)>(~(w)&h)))))
1
0
0
0
entailment
(~((((h&h)&~(w))|~((w|w))))&(w&(h|w)))
~((w&~((((w|h)&h)>(~(w)&h)))))
0
1
1
0
not entailment
~(h)
(w&(~((w&h))>((h&h)|w)))
0
0
0
0
not entailment
((w|w)&((h&w)&(h&h)))
(((w>~(h))|w)&w)
1
1
1
0
entailment
(~((w|h))&(((w|w)>~(w))>~(w)))
(h>~((h>w)))
1
1
1
0
entailment
((w|w)&((h&w)&(h&h)))
(h>~((h>w)))
0
1
1
0
not entailment
(~((w|h))&(((w|w)>~(w))>~(w)))
(((w>~(h))|w)&w)
0
1
1
1
not entailment
~(((w|~(h))>(w>h)))
(~((h>w))|w)
1
1
1
0
entailment
(((h|w)|w)>(~(~(w))>h))
((w>w)>(w>(w>h)))
1
1
1
0
entailment
~(((w|~(h))>(w>h)))
((w>w)>(w>(w>h)))
0
1
1
0
not entailment
(((h|w)|w)>(~(~(w))>h))
(~((h>w))|w)
0
1
1
0
not entailment
(~(~((w>(w>w))))&(~(h)|w))
(h>w)
1
1
1
1
entailment
(w|(h|h))
(w|(w|h))
1
1
1
1
entailment
(~(~((w>(w>w))))&(~(h)|w))
(w|(w|h))
0
1
1
0
not entailment
(w|(h|h))
(h>w)
0
1
1
0
not entailment
((f|~((~(y)|(f|f))))&y)
((y|((f>h)&j))|(h>i))
1
1
0
0
entailment
(((((y>i)|h)&h)>(y>~(~(j))))>(~(y)&h))
(i|h)
1
1
1
1
entailment
((f|~((~(y)|(f|f))))&y)
(i|h)
0
1
0
0
not entailment
(((((y>i)|h)&h)>(y>~(~(j))))>(~(y)&h))
((y|((f>h)&j))|(h>i))
0
1
0
0
not entailment
(f&f)
((j&(f|f))|(((f|i)&f)|((f|y)|(i>h))))
1
0
0
0
entailment
((j&~(y))&j)
((i|~(i))>(~(y)&j))
1
0
0
0
entailment
(f&f)
((i|~(i))>(~(y)&j))
0
0
0
0
not entailment
((j&~(y))&j)
((j&(f|f))|(((f|i)&f)|((f|y)|(i>h))))
0
0
0
0
not entailment
~((y|i))
((h>(j|(j|f)))|(i|~((f|y))))
1
0
0
0
entailment
(h&~((i|j)))
(((f&f)|h)|(f&j))
1
0
0
0
entailment
~((y|i))
(((f&f)|h)|(f&j))
0
0
0
0
not entailment
(h&~((i|j)))
((h>(j|(j|f)))|(i|~((f|y))))
0
0
0
0
not entailment
(h>((y|f)&~((~((h>h))>(j>j)))))
(((f|y)|((f>j)&i))>~(((h&h)&(y&y))))
1
0
0
0
entailment
(((j>i)&y)&(((j&j)|f)>(j>(f>h))))
((y|j)|f)
1
1
1
0
entailment
(h>((y|f)&~((~((h>h))>(j>j)))))
((y|j)|f)
0
1
1
1
not entailment
(((j>i)&y)&(((j&j)|f)>(j>(f>h))))
(((f|y)|((f>j)&i))>~(((h&h)&(y&y))))
0
0
1
0
not entailment
(i&~(~(y)))
(~(j)>(i|~(~((y&(j&j))))))
1
0
0
0
entailment
((h>(~(~((f&y)))>i))&~(~(~(h))))
((y>f)>(h>((h>h)&~(h))))
1
1
1
0
entailment
(i&~(~(y)))
((y>f)>(h>((h>h)&~(h))))
0
0
0
0
not entailment
((h>(~(~((f&y)))>i))&~(~(~(h))))
(~(j)>(i|~(~((y&(j&j))))))
0
1
0
0
not entailment
~((f|h))
((((y>~(f))&h)&(j&y))|~(~((f>i))))
1
0
0
0
entailment
((j&y)|((f&(j&~(j)))&(f&f)))
(~(((f>(i>f))|j))|j)
1
1
0
0
entailment
~((f|h))
(~(((f>(i>f))|j))|j)
0
0
0
0
not entailment
((j&y)|((f&(j&~(j)))&(f&f)))
((((y>~(f))&h)&(j&y))|~(~((f>i))))
0
0
0
0
not entailment
(((j>j)|(f|h))&~(((h|i)|f)))
((j>(((y&i)&f)&y))>~((i&(f|j))))
1
0
0
0
entailment
((j|(f&(y&j)))&(((i>i)>f)>(i|~((j&f)))))
((j|((h|(y>f))>y))|~(~((i&((j>i)|i)))))
1
1
0
0
entailment
(((j>j)|(f|h))&~(((h|i)|f)))
((j|((h|(y>f))>y))|~(~((i&((j>i)|i)))))
0
0
0
0
not entailment
((j|(f&(y&j)))&(((i>i)>f)>(i|~((j&f)))))
((j>(((y&i)&f)&y))>~((i&(f|j))))
0
1
1
0
not entailment
(h&~((j|(f|y))))
(~(((h|y)&i))|~(y))
1
0
0
0
entailment
(((f&y)|y)&y)
(~(~(~(y)))>(((h>i)&j)|i))
1
0
0
0
entailment
(h&~((j|(f|y))))
(~(~(~(y)))>(((h>i)&j)|i))
0
0
0
0
not entailment
(((f&y)|y)&y)
(~(((h|y)&i))|~(y))
0
0
0
0
not entailment
~(~(~(~(~(~((y&f)))))))
((h>(f&y))|i)
1
1
0
0
entailment
(f&((y>((i>j)>h))>~(y)))
(i>~(((y&(~(i)|h))&((j&h)|h))))
1
0
1
0
entailment
~(~(~(~(~(~((y&f)))))))
(i>~(((y&(~(i)|h))&((j&h)|h))))
0
0
0
0
not entailment
(f&((y>((i>j)>h))>~(y)))
((h>(f&y))|i)
0
1
1
0
not entailment
(~(((y|~((f|i)))&f))>(j&i))
(((i|f)|(y|h))|y)
1
1
0
0
entailment
~((~(f)>h))
((((h&j)|(h&f))|~((y>~(h))))>~(j))
1
0
0
0
entailment
(~(((y|~((f|i)))&f))>(j&i))
((((h&j)|(h&f))|~((y>~(h))))>~(j))
0
0
0
0
not entailment
~((~(f)>h))
(((i|f)|(y|h))|y)
0
0
0
0
not entailment
~((~((i|~(j)))>h))
~(~(((~(f)>~(h))|i)))
1
0
0
0
entailment
((i>j)&((h&y)&h))
(~(~((i|h)))|((h&j)&(i|(h>i))))
1
0
1
0
entailment
~((~((i|~(j)))>h))
(~(~((i|h)))|((h&j)&(i|(h>i))))
0
0
1
0
not entailment
((i>j)&((h&y)&h))
~(~(((~(f)>~(h))|i)))
0
0
0
0
not entailment
((h&(h|(i|i)))&(~(j)|~(h)))
~(((~(i)&j)&((j&j)&y)))
1
1
0
0
entailment
((f|f)|~(~(~(((h>f)|(y>y))))))
(f|(y&~(f)))
1
1
1
1
entailment
((h&(h|(i|i)))&(~(j)|~(h)))
(f|(y&~(f)))
0
1
0
0
not entailment
((f|f)|~(~(~(((h>f)|(y>y))))))
~(((~(i)&j)&((j&j)&y)))
0
1
0
0
not entailment
~((((h|j)&f)>y))
(i|(((f|(h|j))&y)>(~((h>h))&(j>j))))
1
0
0
0
entailment
~(~((y&h)))
(((h&h)|i)>((((f|j)>y)|j)|~(h)))
1
0
0
0
entailment
~((((h|j)&f)>y))
(((h&h)|i)>((((f|j)>y)|j)|~(h)))
0
0
0
0
not entailment
~(~((y&h)))
(i|(((f|(h|j))&y)>(~((h>h))&(j>j))))
0
0
0
0
not entailment
(j&h)
(j&(((f&i)>(i>f))>((h>h)|i)))
1
0
0
0
entailment
~(~((~(~((i>i)))&f)))
(~((f|f))>(h>f))
1
1
0
0
entailment
(j&h)
(~((f|f))>(h>f))
0
0
0
0
not entailment
~(~((~(~((i>i)))&f)))
(j&(((f&i)>(i>f))>((h>h)|i)))
0
0
0
0
not entailment
~((i>j))
(~((y>((~(j)>i)|f)))>i)
1
0
0
0
entailment
(~(i)&~((h|f)))
~((i&f))
1
1
1
1
entailment
~((i>j))
~((i&f))
0
1
0
0
not entailment
(~(i)&~((h|f)))
(~((y>((~(j)>i)|f)))>i)
0
0
0
0
not entailment