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 |
|---|---|---|---|---|---|---|
~(((j|j)>~(~(g)))) | (((g&(h>~(k)))|~(~((k&j))))|((z>g)>j)) | 1 | 0 | 0 | 0 | entailment |
~(~((~(((((z|j)&g)|j)&~(k)))|g))) | (((g&(h>~(k)))|~(~((k&j))))|((z>g)>j)) | 0 | 0 | 0 | 0 | not entailment |
~(((j|j)>~(~(g)))) | ((((z|g)&j)&((z&k)|(z&(z|g))))>(g|k)) | 0 | 0 | 0 | 0 | not entailment |
~(((g&j)>(k&((~((g|k))>(~(k)|z))|g)))) | ((k&k)|j) | 1 | 1 | 1 | 1 | entailment |
~(((j|z)|j)) | ((j&(j>j))>(g&(g&~(g)))) | 1 | 0 | 0 | 0 | entailment |
~(((g&j)>(k&((~((g|k))>(~(k)|z))|g)))) | ((j&(j>j))>(g&(g&~(g)))) | 0 | 1 | 1 | 0 | not entailment |
~(((j|z)|j)) | ((k&k)|j) | 0 | 1 | 0 | 0 | not entailment |
(~((g&(((z|g)|(h|j))>~(z))))&(h>~(j))) | (((~((g>k))>j)>(((k|j)>h)&(k|g)))>(j>g)) | 1 | 1 | 0 | 0 | entailment |
(~(~(h))&(~(g)&(g|(z|h)))) | ~(g) | 1 | 1 | 1 | 1 | entailment |
(~((g&(((z|g)|(h|j))>~(z))))&(h>~(j))) | ~(g) | 0 | 1 | 1 | 1 | not entailment |
(~(~(h))&(~(g)&(g|(z|h)))) | (((~((g>k))>j)>(((k|j)>h)&(k|g)))>(j>g)) | 0 | 0 | 0 | 0 | not entailment |
(((~((j&z))|j)&g)&(j&((k>g)|k))) | (((k>(g|j))&(j|~(z)))|g) | 1 | 1 | 1 | 1 | entailment |
(h&(h>(k&(z&z)))) | ~(~(((z>h)>k))) | 1 | 1 | 1 | 1 | entailment |
(((~((j&z))|j)&g)&(j&((k>g)|k))) | ~(~(((z>h)>k))) | 0 | 1 | 0 | 0 | not entailment |
(h&(h>(k&(z&z)))) | (((k>(g|j))&(j|~(z)))|g) | 0 | 0 | 0 | 0 | not entailment |
~(~((k&~(~(j))))) | ((((h|g)&h)&h)>((z>g)>(z|k))) | 1 | 0 | 0 | 0 | entailment |
~(~((g&~(((k&j)|~(j)))))) | ~((~(~(((h>z)|z)))&k)) | 1 | 1 | 0 | 0 | entailment |
~(~((k&~(~(j))))) | ~((~(~(((h>z)|z)))&k)) | 0 | 0 | 0 | 0 | not entailment |
~(~((g&~(((k&j)|~(j)))))) | ((((h|g)&h)&h)>((z>g)>(z|k))) | 0 | 1 | 0 | 0 | not entailment |
(k&(~(h)>((h|k)|j))) | (((~(k)>z)>k)&(((k&k)|j)|j)) | 1 | 0 | 0 | 0 | entailment |
(g&j) | (((j|(g&~(k)))|g)&(g|h)) | 1 | 0 | 0 | 0 | entailment |
(k&(~(h)>((h|k)|j))) | (((j|(g&~(k)))|g)&(g|h)) | 0 | 0 | 0 | 0 | not entailment |
(g&j) | (((~(k)>z)>k)&(((k&k)|j)|j)) | 0 | 0 | 0 | 0 | not entailment |
((((j>j)|(z|z))>(((h&j)>(k>h))>g))&(g>j)) | ((((k>g)>z)&j)>(k|g)) | 1 | 1 | 1 | 0 | entailment |
((~(~(((z>z)|~(g))))&((h&j)&z))&(g>z)) | ((~(z)&~((g&j)))|(~(z)|h)) | 1 | 1 | 1 | 0 | entailment |
((((j>j)|(z|z))>(((h&j)>(k>h))>g))&(g>j)) | ((~(z)&~((g&j)))|(~(z)|h)) | 0 | 1 | 1 | 1 | not entailment |
((~(~(((z>z)|~(g))))&((h&j)&z))&(g>z)) | ((((k>g)>z)&j)>(k|g)) | 0 | 1 | 0 | 0 | not entailment |
((k>h)&((~(~(h))&k)&(k|g))) | ~((~(((k>~(z))&h))&~(h))) | 1 | 1 | 0 | 0 | entailment |
~(~((~(j)&(h>(k&g))))) | (j>(h>((g|j)>g))) | 1 | 1 | 1 | 0 | entailment |
((k>h)&((~(~(h))&k)&(k|g))) | (j>(h>((g|j)>g))) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(j)&(h>(k&g))))) | ~((~(((k>~(z))&h))&~(h))) | 0 | 0 | 0 | 0 | not entailment |
(((z>g)&(k|(g&g)))&(((k|k)|g)>h)) | (h&(h|(k&h))) | 1 | 1 | 1 | 1 | entailment |
~((((g&~(((g>h)|k)))&(z&j))>(z>(k&j)))) | (((~(j)|(j&~(~(z))))>((z>(z|k))&g))|j) | 1 | 1 | 1 | 0 | entailment |
(((z>g)&(k|(g&g)))&(((k|k)|g)>h)) | (((~(j)|(j&~(~(z))))>((z>(z|k))&g))|j) | 0 | 0 | 0 | 0 | not entailment |
~((((g&~(((g>h)|k)))&(z&j))>(z>(k&j)))) | (h&(h|(k&h))) | 0 | 1 | 1 | 0 | not entailment |
(j&(j|g)) | (~((g|((g|((g&h)>h))>((h&j)|(g&z)))))>j) | 1 | 0 | 0 | 0 | entailment |
(z|~(~((g&~(k))))) | (((g|h)>~((z>~((h&(k>z))))))|g) | 1 | 0 | 0 | 0 | entailment |
(j&(j|g)) | (((g|h)>~((z>~((h&(k>z))))))|g) | 0 | 0 | 0 | 0 | not entailment |
(z|~(~((g&~(k))))) | (~((g|((g|((g&h)>h))>((h&j)|(g&z)))))>j) | 0 | 0 | 0 | 0 | not entailment |
((z&(h&g))&((~((h|k))|z)|z)) | (j>z) | 1 | 1 | 0 | 0 | entailment |
~(((((g&j)&g)&j)>z)) | ~(~(((j|j)&((k>h)|((g|k)&k))))) | 1 | 0 | 0 | 0 | entailment |
((z&(h&g))&((~((h|k))|z)|z)) | ~(~(((j|j)&((k>h)|((g|k)&k))))) | 0 | 0 | 0 | 0 | not entailment |
~(((((g&j)&g)&j)>z)) | (j>z) | 0 | 1 | 1 | 0 | not entailment |
(((~(((~(k)&(k|k))|h))&z)&j)|(h&k)) | ((~(z)&(g>(h|j)))>((k|(z&g))&~((h&z)))) | 1 | 0 | 0 | 0 | entailment |
~(~((((k>z)>~((g&z)))&~(h)))) | (((z|(k&(g&k)))&(j|~(~(g))))|~(h)) | 1 | 0 | 0 | 0 | entailment |
(((~(((~(k)&(k|k))|h))&z)&j)|(h&k)) | (((z|(k&(g&k)))&(j|~(~(g))))|~(h)) | 0 | 1 | 0 | 0 | not entailment |
~(~((((k>z)>~((g&z)))&~(h)))) | ((~(z)&(g>(h|j)))>((k|(z&g))&~((h&z)))) | 0 | 0 | 0 | 0 | not entailment |
((j&g)&(k&z)) | (~(g)>(((k&z)>z)&(h|~(z)))) | 1 | 0 | 0 | 0 | entailment |
~((k|(j>(((k&z)|h)&z)))) | ~(k) | 1 | 1 | 1 | 1 | entailment |
((j&g)&(k&z)) | ~(k) | 0 | 1 | 1 | 0 | not entailment |
~((k|(j>(((k&z)|h)&z)))) | (~(g)>(((k&z)>z)&(h|~(z)))) | 0 | 0 | 0 | 0 | not entailment |
(k&j) | ((~(((k>(j>g))|j))|j)|j) | 1 | 0 | 0 | 0 | entailment |
~(((j&((j&z)>j))|g)) | (g>z) | 1 | 1 | 1 | 1 | entailment |
(k&j) | (g>z) | 0 | 1 | 0 | 0 | not entailment |
~(((j&((j&z)>j))|g)) | ((~(((k>(j>g))|j))|j)|j) | 0 | 0 | 0 | 0 | not entailment |
(g&(k&(j|j))) | (((j|z)>(k|g))|(g|(((j&(k>z))>j)&k))) | 1 | 0 | 0 | 0 | entailment |
((g>j)&((z|~(j))&(j&z))) | (k>z) | 1 | 1 | 0 | 0 | entailment |
(g&(k&(j|j))) | (k>z) | 0 | 1 | 0 | 0 | not entailment |
((g>j)&((z|~(j))&(j&z))) | (((j|z)>(k|g))|(g|(((j&(k>z))>j)&k))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~(~(k))))&((j&k)&~(~(g)))) | (j|z) | 1 | 1 | 0 | 0 | entailment |
(~((z|h))&(k>j)) | ~(h) | 1 | 1 | 1 | 1 | entailment |
(~(~(~(~(k))))&((j&k)&~(~(g)))) | ~(h) | 0 | 1 | 0 | 0 | not entailment |
(~((z|h))&(k>j)) | (j|z) | 0 | 1 | 1 | 0 | not entailment |
~(((z|g)&(g>(~(~(k))>(z>h))))) | ~(~((((z|j)>g)|~(((k&z)&z))))) | 1 | 1 | 0 | 0 | entailment |
(h|j) | (~((z&~(j)))|h) | 1 | 0 | 0 | 0 | entailment |
~(((z|g)&(g>(~(~(k))>(z>h))))) | (~((z&~(j)))|h) | 0 | 1 | 0 | 0 | not entailment |
(h|j) | ~(~((((z|j)>g)|~(((k&z)&z))))) | 0 | 0 | 0 | 0 | not entailment |
(((z>g)>((k>z)&h))|((g>k)&~((g|h)))) | ((g&g)>(h|j)) | 1 | 1 | 0 | 0 | entailment |
(k|~((k>(((k>g)|g)>~(~(z)))))) | (k|~(h)) | 1 | 1 | 0 | 0 | entailment |
(((z>g)>((k>z)&h))|((g>k)&~((g|h)))) | (k|~(h)) | 0 | 1 | 1 | 1 | not entailment |
(k|~((k>(((k>g)|g)>~(~(z)))))) | ((g&g)>(h|j)) | 0 | 1 | 0 | 0 | not entailment |
~(~(j)) | ((((z|z)&h)>h)>(~(h)>(k|j))) | 1 | 0 | 0 | 0 | entailment |
(((k>k)|(h>z))&~((k|(~(z)>(j|z))))) | ~((g&((j|k)&k))) | 1 | 1 | 0 | 0 | entailment |
~(~(j)) | ~((g&((j|k)&k))) | 0 | 0 | 0 | 0 | not entailment |
(((k>k)|(h>z))&~((k|(~(z)>(j|z))))) | ((((z|z)&h)>h)>(~(h)>(k|j))) | 0 | 1 | 1 | 0 | not entailment |
(m|(m|m)) | (((~(m)|(m|(m|m)))>m)|m) | 1 | 0 | 1 | 0 | entailment |
~(((m|(m&m))&m)) | (~((m&(m&m)))&(m>m)) | 1 | 0 | 1 | 0 | entailment |
(m|(m|m)) | (~((m&(m&m)))&(m>m)) | 0 | 0 | 1 | 0 | not entailment |
~(((m|(m&m))&m)) | (((~(m)|(m|(m|m)))>m)|m) | 0 | 0 | 1 | 0 | not entailment |
(m&(m&m)) | (((m>m)|(m>m))>m) | 1 | 0 | 1 | 0 | entailment |
(~((m>m))|~(m)) | ~(((m&((m>m)|(m|m)))&(((m|m)|m)|m))) | 1 | 0 | 1 | 1 | entailment |
(m&(m&m)) | ~(((m&((m>m)|(m|m)))&(((m|m)|m)|m))) | 0 | 0 | 1 | 0 | not entailment |
(~((m>m))|~(m)) | (((m>m)|(m>m))>m) | 0 | 1 | 1 | 1 | not entailment |
(~(~((m&m)))&(m>(m|m))) | ~((~(m)|~(((m|m)|((m|m)&(m>m)))))) | 1 | 0 | 1 | 1 | entailment |
~(m) | ~(((m&m)&((m>(m>m))|~(((m|m)&m))))) | 1 | 0 | 1 | 0 | entailment |
(~(~((m&m)))&(m>(m|m))) | ~(((m&m)&((m>(m>m))|~(((m|m)&m))))) | 0 | 0 | 1 | 1 | not entailment |
~(m) | ~((~(m)|~(((m|m)|((m|m)&(m>m)))))) | 0 | 0 | 1 | 0 | not entailment |
~(~((c&y))) | ((l&c)>(a>y)) | 1 | 1 | 0 | 0 | entailment |
(((s|(c&~(l)))&(x&c))&l) | (~(((e|s)&c))|x) | 1 | 1 | 0 | 0 | entailment |
~(~((c&y))) | (~(((e|s)&c))|x) | 0 | 0 | 0 | 0 | not entailment |
(((s|(c&~(l)))&(x&c))&l) | ((l&c)>(a>y)) | 0 | 1 | 0 | 0 | not entailment |
(s>a) | (((a|y)&(s&~(~((e>c)))))>a) | 1 | 0 | 0 | 0 | entailment |
~(((y&e)>~(((y>c)|c)))) | ((a>o)|e) | 1 | 1 | 0 | 0 | entailment |
(s>a) | ((a>o)|e) | 0 | 0 | 0 | 0 | not entailment |
~(((y&e)>~(((y>c)|c)))) | (((a|y)&(s&~(~((e>c)))))>a) | 0 | 0 | 0 | 0 | not entailment |
(((a|l)|s)&~(((l>y)|e))) | (x>(c|(l|a))) | 1 | 1 | 0 | 0 | entailment |
~((((e|l)&~(~((x>c))))|s)) | (((~(a)&((y>o)|e))>x)|~((l&c))) | 1 | 0 | 0 | 0 | entailment |
(((a|l)|s)&~(((l>y)|e))) | (((~(a)&((y>o)|e))>x)|~((l&c))) | 0 | 0 | 0 | 0 | not entailment |
~((((e|l)&~(~((x>c))))|s)) | (x>(c|(l|a))) | 0 | 1 | 0 | 0 | not entailment |
((a>x)&((l|(l&x))&~((l&s)))) | (l|((e>c)|((e>~((x>e)))|y))) | 1 | 1 | 0 | 0 | entailment |
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