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 |
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