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 |
|---|---|---|---|---|---|---|
(((b>g)>(k>~((k>k))))>(k&g)) | ~(((~(((b>k)>b))&(g|~(k)))&(g&(n>b)))) | 0 | 0 | 0 | 0 | not entailment |
(~(g)&(b>n)) | ((((k&k)&g)|n)>((k>(n&(b&b)))>k)) | 0 | 0 | 0 | 0 | not entailment |
~((~(k)>((n>n)&~(g)))) | (~(~(((n>g)|~((k|n)))))>g) | 1 | 0 | 1 | 0 | entailment |
(((g|k)>n)&(~(n)&(n>((g>k)>(g|n))))) | (((n|k)>(g>b))&~(~((~((n>k))>n)))) | 1 | 1 | 0 | 0 | entailment |
~((~(k)>((n>n)&~(g)))) | (((n|k)>(g>b))&~(~((~((n>k))>n)))) | 0 | 0 | 0 | 0 | not entailment |
(((g|k)>n)&(~(n)&(n>((g>k)>(g|n))))) | (~(~(((n>g)|~((k|n)))))>g) | 0 | 1 | 1 | 0 | not entailment |
(g>((k&b)&((~((b|n))|k)|k))) | (~((k>(n>b)))>~(((n|k)>g))) | 1 | 1 | 1 | 0 | entailment |
(g&((b>~((~(k)|~(g))))|(n&n))) | (((~(b)|(b>~(g)))&((k>n)|k))>(g|b)) | 1 | 0 | 1 | 0 | entailment |
(g>((k&b)&((~((b|n))|k)|k))) | (((~(b)|(b>~(g)))&((k>n)|k))>(g|b)) | 0 | 0 | 1 | 0 | not entailment |
(g&((b>~((~(k)|~(g))))|(n&n))) | (~((k>(n>b)))>~(((n|k)>g))) | 0 | 1 | 1 | 0 | not entailment |
(~(k)&((g>n)|n)) | ~(~((~((k&((b|b)&n)))|(g&g)))) | 1 | 0 | 0 | 0 | entailment |
(((~(~((b&k)))|(k&n))|k)&n) | (((n|b)>((k|n)|k))|(n&k)) | 1 | 1 | 1 | 0 | entailment |
(~(k)&((g>n)|n)) | (((n|b)>((k|n)|k))|(n&k)) | 0 | 0 | 0 | 0 | not entailment |
(((~(~((b&k)))|(k&n))|k)&n) | ~(~((~((k&((b|b)&n)))|(g&g)))) | 0 | 0 | 0 | 0 | not entailment |
((b&k)&((b&n)&g)) | (g&k) | 1 | 1 | 1 | 1 | entailment |
((((k>k)&~(g))&(g|~(n)))&k) | ((k|k)>(g>~(g))) | 1 | 1 | 1 | 1 | entailment |
((b&k)&((b&n)&g)) | ((k|k)>(g>~(g))) | 0 | 1 | 1 | 0 | not entailment |
((((k>k)&~(g))&(g|~(n)))&k) | (g&k) | 0 | 1 | 1 | 1 | not entailment |
~(g) | (b>(g>(n&b))) | 1 | 0 | 0 | 0 | entailment |
~(((~(b)>(n|g))>~((g|n)))) | (n|g) | 1 | 1 | 1 | 1 | entailment |
~(g) | (n|g) | 0 | 1 | 0 | 0 | not entailment |
~(((~(b)>(n|g))>~((g|n)))) | (b>(g>(n&b))) | 0 | 1 | 1 | 0 | not entailment |
(b&k) | ((((g>(n&n))|~((g>k)))&(b&g))|k) | 1 | 0 | 0 | 0 | entailment |
(g|g) | ((b>n)|g) | 1 | 0 | 0 | 0 | entailment |
(b&k) | ((b>n)|g) | 0 | 0 | 0 | 0 | not entailment |
(g|g) | ((((g>(n&n))|~((g>k)))&(b&g))|k) | 0 | 0 | 0 | 0 | not entailment |
~(((g|k)&g)) | (g>k) | 1 | 1 | 1 | 0 | entailment |
(b|~((((k&(k>b))>(k&((k>k)>b)))|(b|k)))) | (b|b) | 1 | 1 | 1 | 1 | entailment |
~(((g|k)&g)) | (b|b) | 0 | 1 | 0 | 0 | not entailment |
(b|~((((k&(k>b))>(k&((k>k)>b)))|(b|k)))) | (g>k) | 0 | 1 | 0 | 0 | not entailment |
~(~((((u>(~((w&j))&u))&j)&h))) | (k>(h>j)) | 1 | 1 | 0 | 0 | entailment |
~(~(~(~(((i|k)&~((w|(i&(h|u))))))))) | (i>(~(u)|~((h&j)))) | 1 | 1 | 0 | 0 | entailment |
~(~((((u>(~((w&j))&u))&j)&h))) | (i>(~(u)|~((h&j)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~(((i|k)&~((w|(i&(h|u))))))))) | (k>(h>j)) | 0 | 1 | 0 | 0 | not entailment |
(((w|u)|k)&((j&k)&(k>(h|h)))) | (~(k)>~(~(((i|j)|~(u))))) | 1 | 1 | 0 | 0 | entailment |
(j>((u|(j>w))&j)) | (~(((i>(i|i))&((j>u)|u)))>(~(i)|w)) | 1 | 0 | 0 | 0 | entailment |
(((w|u)|k)&((j&k)&(k>(h|h)))) | (~(((i>(i|i))&((j>u)|u)))>(~(i)|w)) | 0 | 0 | 0 | 0 | not entailment |
(j>((u|(j>w))&j)) | (~(k)>~(~(((i|j)|~(u))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((w|i))|~(~((j>~((u|j))))))) | (~(i)>((h&u)|((j|i)|j))) | 1 | 1 | 0 | 0 | entailment |
(w&(u|u)) | ((w|(k>(k&i)))&(((u>j)|(u>~(u)))>w)) | 1 | 0 | 0 | 0 | entailment |
~((~((w|i))|~(~((j>~((u|j))))))) | ((w|(k>(k&i)))&(((u>j)|(u>~(u)))>w)) | 0 | 1 | 0 | 0 | not entailment |
(w&(u|u)) | (~(i)>((h&u)|((j|i)|j))) | 0 | 0 | 0 | 0 | not entailment |
(~(h)&(j&~(i))) | ((w|(h>(i|i)))>((i|u)>(k>(~(u)>j)))) | 1 | 0 | 0 | 0 | entailment |
~(j) | ~((~(h)&((w&j)&~((w>u))))) | 1 | 0 | 0 | 0 | entailment |
(~(h)&(j&~(i))) | ~((~(h)&((w&j)&~((w>u))))) | 0 | 0 | 0 | 0 | not entailment |
~(j) | ((w|(h>(i|i)))>((i|u)>(k>(~(u)>j)))) | 0 | 0 | 0 | 0 | not entailment |
(j&(((u|~(h))&(h>w))>((j|j)&h))) | (h&(j&((k|h)|w))) | 1 | 1 | 0 | 0 | entailment |
~((((h>(i|j))>k)|~(i))) | ~(k) | 1 | 1 | 1 | 1 | entailment |
(j&(((u|~(h))&(h>w))>((j|j)&h))) | ~(k) | 0 | 1 | 0 | 0 | not entailment |
~((((h>(i|j))>k)|~(i))) | (h&(j&((k|h)|w))) | 0 | 1 | 0 | 0 | not entailment |
((~(~(w))&((i>j)>i))&~(j)) | (w|~(~((k>(i&j))))) | 1 | 1 | 0 | 0 | entailment |
((u|k)&j) | ~(~((w>j))) | 1 | 0 | 0 | 0 | entailment |
((~(~(w))&((i>j)>i))&~(j)) | ~(~((w>j))) | 0 | 1 | 1 | 0 | not entailment |
((u|k)&j) | (w|~(~((k>(i&j))))) | 0 | 0 | 0 | 0 | not entailment |
~(((j&(h|w))>((j>h)|(~(i)&j)))) | (((i>((w&k)|w))&i)|~(~((j|(h>(j&k)))))) | 1 | 0 | 0 | 0 | entailment |
(h&(~(k)>~(((~(k)&w)>(w>k))))) | (k|(u|(h|u))) | 1 | 1 | 0 | 0 | entailment |
~(((j&(h|w))>((j>h)|(~(i)&j)))) | (k|(u|(h|u))) | 0 | 1 | 0 | 0 | not entailment |
(h&(~(k)>~(((~(k)&w)>(w>k))))) | (((i>((w&k)|w))&i)|~(~((j|(h>(j&k)))))) | 0 | 0 | 0 | 0 | not entailment |
(((h|~(((h|k)>w)))&~(w))&j) | ((i>((w&(u&k))|((h>u)&~(i))))>~(~(j))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((((i>u)|i)>w)))>(h|(w&k)))) | (~(h)&(w|k)) | 1 | 1 | 1 | 0 | entailment |
(((h|~(((h|k)>w)))&~(w))&j) | (~(h)&(w|k)) | 0 | 1 | 1 | 0 | not entailment |
~((~(~((((i>u)|i)>w)))>(h|(w&k)))) | ((i>((w&(u&k))|((h>u)&~(i))))>~(~(j))) | 0 | 0 | 0 | 0 | not entailment |
(h&((j|j)&u)) | ((h>i)>(j&h)) | 1 | 1 | 0 | 0 | entailment |
(w&(((j|k)&k)&(u|((i>w)>k)))) | ((u>k)|(~((~(u)>w))&(w|(i>k)))) | 1 | 0 | 1 | 0 | entailment |
(h&((j|j)&u)) | ((u>k)|(~((~(u)>w))&(w|(i>k)))) | 0 | 0 | 0 | 0 | not entailment |
(w&(((j|k)&k)&(u|((i>w)>k)))) | ((h>i)>(j&h)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((~((k&k))>(j|i))>(i|~(u)))))) | (w|(j|u)) | 1 | 1 | 0 | 0 | entailment |
(~(~(i))&(~(~(~((w|u))))&(k|j))) | ((((u&k)|((k>(h|w))&(~(u)&u)))>(w|j))|j) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((~((k&k))>(j|i))>(i|~(u)))))) | ((((u&k)|((k>(h|w))&(~(u)&u)))>(w|j))|j) | 0 | 1 | 0 | 0 | not entailment |
(~(~(i))&(~(~(~((w|u))))&(k|j))) | (w|(j|u)) | 0 | 1 | 1 | 0 | not entailment |
~(~(((((j|w)>h)&j)&~(w)))) | (u|~((((w&j)&h)&(w>h)))) | 1 | 1 | 0 | 0 | entailment |
~((k|~(((~(i)|w)&(j>(j|h)))))) | ~((k&((k>j)|k))) | 1 | 1 | 1 | 0 | entailment |
~(~(((((j|w)>h)&j)&~(w)))) | ~((k&((k>j)|k))) | 0 | 1 | 0 | 0 | not entailment |
~((k|~(((~(i)|w)&(j>(j|h)))))) | (u|~((((w&j)&h)&(w>h)))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(h))&(u&j)) | (w>j) | 1 | 1 | 0 | 0 | entailment |
((h|~(~(w)))>~(i)) | (~(~((i>(h>~((h&k))))))&(u>u)) | 1 | 0 | 0 | 0 | entailment |
(~(~(h))&(u&j)) | (~(~((i>(h>~((h&k))))))&(u>u)) | 0 | 0 | 0 | 0 | not entailment |
((h|~(~(w)))>~(i)) | (w>j) | 0 | 1 | 0 | 0 | not entailment |
((w>u)&j) | (~(((j&i)|h))|(j|i)) | 1 | 0 | 0 | 0 | entailment |
(~(~(u))&w) | (w|(u&(~(i)&(u>h)))) | 1 | 0 | 0 | 0 | entailment |
((w>u)&j) | (w|(u&(~(i)&(u>h)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(u))&w) | (~(((j&i)|h))|(j|i)) | 0 | 0 | 0 | 0 | not entailment |
~((((~(((h|h)>u))|j)&u)>(w&u))) | (h|(((((u&h)|u)|(k|j))|~(j))>~(w))) | 1 | 0 | 0 | 0 | entailment |
(((w>~(~(j)))&(i&j))&(i&((h>w)|j))) | ((u>u)>i) | 1 | 1 | 0 | 0 | entailment |
~((((~(((h|h)>u))|j)&u)>(w&u))) | ((u>u)>i) | 0 | 1 | 0 | 0 | not entailment |
(((w>~(~(j)))&(i&j))&(i&((h>w)|j))) | (h|(((((u&h)|u)|(k|j))|~(j))>~(w))) | 0 | 1 | 0 | 0 | not entailment |
((i&j)&(u&(k|(k|u)))) | ((k>((w>u)>j))&(i|j)) | 1 | 1 | 0 | 0 | entailment |
~(((k&(w>w))|k)) | ((k>w)|(((w&w)&w)&(w|w))) | 1 | 0 | 1 | 1 | entailment |
((i&j)&(u&(k|(k|u)))) | ((k>w)|(((w&w)&w)&(w|w))) | 0 | 0 | 0 | 0 | not entailment |
~(((k&(w>w))|k)) | ((k>((w>u)>j))&(i|j)) | 0 | 0 | 0 | 0 | not entailment |
(j&(h>((((k&~(h))|w)|h)|(u|k)))) | ((~(w)>(u&~((k>h))))>(k>((w>j)|j))) | 1 | 0 | 1 | 0 | entailment |
(k&w) | (~(((w&w)|h))>~(((j>i)|h))) | 1 | 0 | 0 | 0 | entailment |
(j&(h>((((k&~(h))|w)|h)|(u|k)))) | (~(((w&w)|h))>~(((j>i)|h))) | 0 | 1 | 0 | 0 | not entailment |
(k&w) | ((~(w)>(u&~((k>h))))>(k>((w>j)|j))) | 0 | 0 | 0 | 0 | not entailment |
((h>h)>~(((i|~(((i&~(j))|u)))&(u|h)))) | ~((k&(i&u))) | 1 | 1 | 0 | 0 | entailment |
(u&((~(h)&((j|(j|u))>(j|u)))&(k&i))) | (i&~((j&h))) | 1 | 1 | 1 | 1 | entailment |
((h>h)>~(((i|~(((i&~(j))|u)))&(u|h)))) | (i&~((j&h))) | 0 | 1 | 1 | 1 | not entailment |
(u&((~(h)&((j|(j|u))>(j|u)))&(k&i))) | ~((k&(i&u))) | 0 | 1 | 1 | 0 | not entailment |
(i&(w|~(i))) | ~(~(i)) | 1 | 1 | 1 | 1 | entailment |
((~(~(k))>w)&u) | ((h>(i&(~((k>(j>j)))&j)))|((w|h)>u)) | 1 | 0 | 0 | 0 | entailment |
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