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 |
|---|---|---|---|---|---|---|
~((~(g)>t)) | (((~(q)>g)>~(q))>y) | 0 | 0 | 0 | 0 | not entailment |
(((q&(c|n))&(e&z))|~(((g&~(g))>e))) | (((t&z)>c)|(n&b)) | 0 | 1 | 0 | 0 | not entailment |
~((~((((y>b)>t)|~(c)))|~(g))) | ((c&y)|g) | 1 | 1 | 1 | 0 | entailment |
(((t>c)>t)&(y|n)) | ((e|(y&(q>e)))|t) | 1 | 1 | 0 | 0 | entailment |
~((~((((y>b)>t)|~(c)))|~(g))) | ((e|(y&(q>e)))|t) | 0 | 1 | 0 | 0 | not entailment |
(((t>c)>t)&(y|n)) | ((c&y)|g) | 0 | 1 | 0 | 0 | not entailment |
~((i|m)) | ((h&m)>(h>i)) | 1 | 0 | 0 | 0 | entailment |
((((m>i)&h)&h)>(~(~((i|h)))&(h>m))) | ~(((i>m)&~((((h>m)&m)|((h|h)>m))))) | 1 | 1 | 1 | 0 | entailment |
~((i|m)) | ~(((i>m)&~((((h>m)&m)|((h|h)>m))))) | 0 | 0 | 0 | 0 | not entailment |
((((m>i)&h)&h)>(~(~((i|h)))&(h>m))) | ((h&m)>(h>i)) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(h))) | ~(h) | 1 | 1 | 1 | 1 | entailment |
((i>(~(m)>~(i)))&i) | (h|m) | 1 | 1 | 0 | 0 | entailment |
~(~(~(h))) | (h|m) | 0 | 1 | 0 | 0 | not entailment |
((i>(~(m)>~(i)))&i) | ~(h) | 0 | 1 | 0 | 0 | not entailment |
((i&m)|~((h|m))) | (~(h)|(m|i)) | 1 | 1 | 1 | 1 | entailment |
((h&(h&h))&((m&h)>h)) | ((((m>~(h))&h)|h)|((i>m)|((h|m)|h))) | 1 | 0 | 0 | 0 | entailment |
((i&m)|~((h|m))) | ((((m>~(h))&h)|h)|((i>m)|((h|m)|h))) | 0 | 0 | 1 | 0 | not entailment |
((h&(h&h))&((m&h)>h)) | (~(h)|(m|i)) | 0 | 1 | 0 | 0 | not entailment |
(m>~((((h|h)>m)|(((i|h)&~(h))|(i|h))))) | (((((i&h)|m)>m)&((m|h)&m))>i) | 1 | 1 | 1 | 0 | entailment |
((h|i)&h) | (i|h) | 1 | 1 | 1 | 1 | entailment |
(m>~((((h|h)>m)|(((i|h)&~(h))|(i|h))))) | (i|h) | 0 | 1 | 1 | 0 | not entailment |
((h|i)&h) | (((((i&h)|m)>m)&((m|h)&m))>i) | 0 | 0 | 0 | 0 | not entailment |
(((m&m)|m)&i) | ((i|m)>(i|i)) | 1 | 1 | 1 | 0 | entailment |
~((h|((h|m)>i))) | (~(h)&(~((i&~(i)))|h)) | 1 | 0 | 1 | 0 | entailment |
(((m&m)|m)&i) | (~(h)&(~((i&~(i)))|h)) | 0 | 0 | 0 | 0 | not entailment |
~((h|((h|m)>i))) | ((i|m)>(i|i)) | 0 | 1 | 1 | 0 | not entailment |
(i&(((i&i)|i)|~((i|i)))) | ((h>i)&(h>(m>i))) | 1 | 1 | 0 | 0 | entailment |
~(~((((h>m)|m)&h))) | (h|h) | 1 | 1 | 1 | 1 | entailment |
(i&(((i&i)|i)|~((i|i)))) | (h|h) | 0 | 1 | 0 | 0 | not entailment |
~(~((((h>m)|m)&h))) | ((h>i)&(h>(m>i))) | 0 | 1 | 0 | 0 | not entailment |
(((m&m)&m)&i) | (((i|(h&(i&m)))&i)|(m|h)) | 1 | 0 | 0 | 0 | entailment |
~(((~(i)|h)>h)) | ((i>i)&~(i)) | 1 | 1 | 1 | 0 | entailment |
(((m&m)&m)&i) | ((i>i)&~(i)) | 0 | 1 | 1 | 0 | not entailment |
~(((~(i)|h)>h)) | (((i|(h&(i&m)))&i)|(m|h)) | 0 | 0 | 0 | 0 | not entailment |
((~(~(h))|h)>i) | (((m&h)|i)>i) | 1 | 1 | 0 | 0 | entailment |
((((m|i)>(i>m))>(m&((h&m)>h)))&(h&m)) | ((m>~(m))>((i&i)&(h&i))) | 1 | 1 | 1 | 1 | entailment |
((~(~(h))|h)>i) | ((m>~(m))>((i&i)&(h&i))) | 0 | 0 | 0 | 0 | not entailment |
((((m|i)>(i>m))>(m&((h&m)>h)))&(h&m)) | (((m&h)|i)>i) | 0 | 1 | 1 | 0 | not entailment |
~((~((h&(i|(i&m))))|m)) | ((m>(i|i))&~((~(~(m))&(h&~(m))))) | 1 | 0 | 1 | 0 | entailment |
(m&~(i)) | (m|m) | 1 | 1 | 1 | 1 | entailment |
~((~((h&(i|(i&m))))|m)) | (m|m) | 0 | 1 | 1 | 1 | not entailment |
(m&~(i)) | ((m>(i|i))&~((~(~(m))&(h&~(m))))) | 0 | 0 | 0 | 0 | not entailment |
((m&i)&i) | (m|(((h&~(m))&m)&~(i))) | 1 | 0 | 0 | 0 | entailment |
~((m|(i|h))) | ~(((h>h)&((h&(~(h)|i))&((h&h)|i)))) | 1 | 0 | 1 | 0 | entailment |
((m&i)&i) | ~(((h>h)&((h&(~(h)|i))&((h&h)|i)))) | 0 | 0 | 0 | 0 | not entailment |
~((m|(i|h))) | (m|(((h&~(m))&m)&~(i))) | 0 | 0 | 1 | 0 | not entailment |
((m&m)&i) | (m>i) | 1 | 1 | 1 | 0 | entailment |
(h&(h&(m&h))) | ((i>(i&h))|(h&h)) | 1 | 0 | 0 | 0 | entailment |
((m&m)&i) | ((i>(i&h))|(h&h)) | 0 | 0 | 0 | 0 | not entailment |
(h&(h&(m&h))) | (m>i) | 0 | 1 | 0 | 0 | not entailment |
(~(((i>h)&(m&~(m))))>~(((i&i)>(m&h)))) | ~((h&~((i|~(m))))) | 1 | 1 | 1 | 1 | entailment |
((~(m)|(i|(m>h)))&(((m>h)|i)&h)) | (((i|~((m|m)))>(h&(i>(h&h))))|m) | 1 | 1 | 1 | 0 | entailment |
(~(((i>h)&(m&~(m))))>~(((i&i)>(m&h)))) | (((i|~((m|m)))>(h&(i>(h&h))))|m) | 0 | 1 | 1 | 1 | not entailment |
((~(m)|(i|(m>h)))&(((m>h)|i)&h)) | ~((h&~((i|~(m))))) | 0 | 1 | 1 | 0 | not entailment |
((i&m)&(m&~(h))) | ((((~(m)&h)|(m>(i|i)))>m)&i) | 1 | 0 | 1 | 0 | entailment |
(((h>(m>m))&i)&~((h|m))) | ((h&i)|(h|~(((h>h)>(m&(i|i)))))) | 1 | 0 | 1 | 0 | entailment |
((i&m)&(m&~(h))) | ((h&i)|(h|~(((h>h)>(m&(i|i)))))) | 0 | 0 | 1 | 0 | not entailment |
(((h>(m>m))&i)&~((h|m))) | ((((~(m)&h)|(m>(i|i)))>m)&i) | 0 | 0 | 1 | 0 | not entailment |
~((~(m)&(i>(h>((h&h)|i))))) | ((i>(h>((i|h)>(i|h))))&m) | 1 | 1 | 1 | 1 | entailment |
(((i|(i|i))&(~((i|h))>(h|m)))&h) | (~((m>h))>(i>(m&(~(m)&((i>m)&m))))) | 1 | 0 | 1 | 0 | entailment |
~((~(m)&(i>(h>((h&h)|i))))) | (~((m>h))>(i>(m&(~(m)&((i>m)&m))))) | 0 | 0 | 1 | 0 | not entailment |
(((i|(i|i))&(~((i|h))>(h|m)))&h) | ((i>(h>((i|h)>(i|h))))&m) | 0 | 1 | 1 | 0 | not entailment |
(((i&m)&h)&((m|(h&i))>(~(m)|((i&i)&m)))) | ((h|h)>((~((h|(i|m)))|m)|(i>~(h)))) | 1 | 1 | 1 | 1 | entailment |
~(((h&(h|(i&h)))>m)) | ~(~((~((i&(m>m)))|~(m)))) | 1 | 0 | 1 | 0 | entailment |
(((i&m)&h)&((m|(h&i))>(~(m)|((i&i)&m)))) | ~(~((~((i&(m>m)))|~(m)))) | 0 | 1 | 1 | 1 | not entailment |
~(((h&(h|(i&h)))>m)) | ((h|h)>((~((h|(i|m)))|m)|(i>~(h)))) | 0 | 0 | 1 | 0 | not entailment |
~(h) | ((~(h)|i)|m) | 1 | 0 | 0 | 0 | entailment |
(~((i|((h>~(m))>i)))>h) | (~(~(h))|(i|m)) | 1 | 1 | 1 | 1 | entailment |
~(h) | (~(~(h))|(i|m)) | 0 | 0 | 0 | 0 | not entailment |
(~((i|((h>~(m))>i)))>h) | ((~(h)|i)|m) | 0 | 1 | 1 | 0 | not entailment |
(m&m) | ((m&m)|((~(m)&i)>m)) | 1 | 0 | 0 | 0 | entailment |
(i&(h&(m|~((m|m))))) | ~(~((h>i))) | 1 | 1 | 1 | 0 | entailment |
(m&m) | ~(~((h>i))) | 0 | 0 | 0 | 0 | not entailment |
(i&(h&(m|~((m|m))))) | ((m&m)|((~(m)&i)>m)) | 0 | 1 | 1 | 0 | not entailment |
((g>~((((c|y)&c)|g)))&((u>c)|y)) | ((((b|n)>n)&(g&~((n&m))))>s) | 1 | 1 | 0 | 0 | entailment |
((u&f)&(c&(f|(u>(b&b))))) | (~(~(~(~((u&(~((s|m))|f))))))|g) | 1 | 0 | 0 | 0 | entailment |
((g>~((((c|y)&c)|g)))&((u>c)|y)) | (~(~(~(~((u&(~((s|m))|f))))))|g) | 0 | 0 | 0 | 0 | not entailment |
((u&f)&(c&(f|(u>(b&b))))) | ((((b|n)>n)&(g&~((n&m))))>s) | 0 | 0 | 0 | 0 | not entailment |
~((((~(m)|m)|c)&((b|u)>c))) | (~(c)|(g>(m&(m>~((u&n)))))) | 1 | 1 | 0 | 0 | entailment |
(((b&~(y))&~(((g>(y&f))|s)))&~((n|s))) | ((m|(s&f))>g) | 1 | 1 | 0 | 0 | entailment |
~((((~(m)|m)|c)&((b|u)>c))) | ((m|(s&f))>g) | 0 | 1 | 0 | 0 | not entailment |
(((b&~(y))&~(((g>(y&f))|s)))&~((n|s))) | (~(c)|(g>(m&(m>~((u&n)))))) | 0 | 1 | 0 | 0 | not entailment |
~((y|((g>(b&m))>m))) | (g>u) | 1 | 1 | 0 | 0 | entailment |
(f&n) | ((u|u)|(b|(~(b)>f))) | 1 | 0 | 0 | 0 | entailment |
~((y|((g>(b&m))>m))) | ((u|u)|(b|(~(b)>f))) | 0 | 1 | 0 | 0 | not entailment |
(f&n) | (g>u) | 0 | 1 | 0 | 0 | not entailment |
~((c|(((~(c)&u)|u)>(s|~((m&~(n))))))) | ~((s&(~((y>((n>f)|(n|s))))|b))) | 1 | 1 | 0 | 0 | entailment |
((~(m)&u)&b) | ~(~(~(~(((n|(u&b))|n))))) | 1 | 0 | 0 | 0 | entailment |
~((c|(((~(c)&u)|u)>(s|~((m&~(n))))))) | ~(~(~(~(((n|(u&b))|n))))) | 0 | 1 | 0 | 0 | not entailment |
((~(m)&u)&b) | ~((s&(~((y>((n>f)|(n|s))))|b))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((y|g)>~((b>b))))>(s>(s>(n&b))))) | (((m|c)|f)|(~(s)>~(b))) | 1 | 1 | 0 | 0 | entailment |
(~((n>(((b>(u>s))&g)&(y&y))))&(n|(y|c))) | (~(g)|(u|((((c&(f>u))&m)>n)>n))) | 1 | 1 | 0 | 0 | entailment |
~((~(((y|g)>~((b>b))))>(s>(s>(n&b))))) | (~(g)|(u|((((c&(f>u))&m)>n)>n))) | 0 | 1 | 0 | 0 | not entailment |
(~((n>(((b>(u>s))&g)&(y&y))))&(n|(y|c))) | (((m|c)|f)|(~(s)>~(b))) | 0 | 1 | 0 | 0 | not entailment |
(~((u|(b&f)))&((u&n)|y)) | ~((u&((~(b)|b)|y))) | 1 | 1 | 1 | 0 | entailment |
((b|(c>~(m)))&b) | (n|((y|(s|(n|f)))>((g>(m|b))|s))) | 1 | 0 | 0 | 0 | entailment |
(~((u|(b&f)))&((u&n)|y)) | (n|((y|(s|(n|f)))>((g>(m|b))|s))) | 0 | 0 | 0 | 0 | not entailment |
((b|(c>~(m)))&b) | ~((u&((~(b)|b)|y))) | 0 | 0 | 0 | 0 | not entailment |
(~(u)|~((g|(b>b)))) | ((((u|b)&b)|((n>y)|g))|((s>(u>c))&n)) | 1 | 0 | 0 | 0 | entailment |
~(((c|(~((s|~(y)))>(s&y)))>y)) | ((f&m)|(~(y)|(f&~(m)))) | 1 | 1 | 0 | 0 | entailment |
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