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|j)&~(r)) | ((r|((j|w)&(w>r)))>((((r|j)&r)>(j&w))&j)) | 1 | 0 | 1 | 0 | entailment |
(~((r>j))&(j>((w|j)|(w&r)))) | ((r|((j|w)&(w>r)))>((((r|j)&r)>(j&w))&j)) | 0 | 0 | 1 | 0 | not entailment |
((w|j)&~(r)) | (~(r)>w) | 0 | 1 | 1 | 0 | not entailment |
((r>w)&w) | (~(((~(r)>w)|(r&j)))>r) | 1 | 0 | 0 | 0 | entailment |
((w>w)&~((r|w))) | (w>r) | 1 | 1 | 1 | 0 | entailment |
((r>w)&w) | (w>r) | 0 | 1 | 1 | 0 | not entailment |
((w>w)&~((r|w))) | (~(((~(r)>w)|(r&j)))>r) | 0 | 0 | 0 | 0 | not entailment |
((~(~(w))&r)&j) | (w|~(((((w|j)|r)>(w&w))|j))) | 1 | 0 | 1 | 0 | entailment |
((~((r>r))&((r>j)&(r&w)))|~(w)) | (((w>w)>j)>(~((r>w))|(~(w)|~((w>w))))) | 1 | 0 | 1 | 0 | entailment |
((~(~(w))&r)&j) | (((w>w)>j)>(~((r>w))|(~(w)|~((w>w))))) | 0 | 0 | 1 | 0 | not entailment |
((~((r>r))&((r>j)&(r&w)))|~(w)) | (w|~(((((w|j)|r)>(w&w))|j))) | 0 | 1 | 1 | 0 | not entailment |
(r&r) | ~((((r|~((w&r)))|(w>j))&~(r))) | 1 | 0 | 0 | 0 | entailment |
(~(r)&((j&w)&j)) | ((j>r)>~(~(~(~((w|w)))))) | 1 | 0 | 1 | 1 | entailment |
(r&r) | ((j>r)>~(~(~(~((w|w)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(r)&((j&w)&j)) | ~((((r|~((w&r)))|(w>j))&~(r))) | 0 | 0 | 1 | 0 | not entailment |
((r|(r>j))>((r&r)&r)) | (~((~((r|w))>((w>(r&w))>r)))>(r|r)) | 1 | 0 | 0 | 0 | entailment |
(j&(r>j)) | (~(r)|j) | 1 | 1 | 1 | 1 | entailment |
((r|(r>j))>((r&r)&r)) | (~(r)|j) | 0 | 1 | 1 | 0 | not entailment |
(j&(r>j)) | (~((~((r|w))>((w>(r&w))>r)))>(r|r)) | 0 | 0 | 0 | 0 | not entailment |
(((~((r|j))>j)&(r&j))|~(~(j))) | (~((w>j))>~(w)) | 1 | 1 | 0 | 0 | entailment |
~(((j|j)&(w>r))) | (j>w) | 1 | 1 | 1 | 1 | entailment |
(((~((r|j))>j)&(r&j))|~(~(j))) | (j>w) | 0 | 1 | 0 | 0 | not entailment |
~(((j|j)&(w>r))) | (~((w>j))>~(w)) | 0 | 1 | 1 | 0 | not entailment |
((c&c)&((c>~(c))>c)) | ~(~((((c|(~(c)|c))&c)&(c|c)))) | 1 | 0 | 1 | 0 | entailment |
(~(((c>(c|(c&c)))&c))|(c>~(c))) | ~((c&~(((c&(c>c))&~((c>((c|c)>c))))))) | 1 | 0 | 1 | 1 | entailment |
((c&c)&((c>~(c))>c)) | ~((c&~(((c&(c>c))&~((c>((c|c)>c))))))) | 0 | 0 | 1 | 0 | not entailment |
(~(((c>(c|(c&c)))&c))|(c>~(c))) | ~(~((((c|(~(c)|c))&c)&(c|c)))) | 0 | 1 | 1 | 1 | not entailment |
((~(~((c>(c|c))))&(c|c))|(c|c)) | (c&c) | 1 | 1 | 1 | 1 | entailment |
~((~((c>c))|(c|((c|c)&(c&c))))) | ~(((((c|c)&((c>c)&c))&(c&c))&c)) | 1 | 1 | 1 | 1 | entailment |
((~(~((c>(c|c))))&(c|c))|(c|c)) | ~(((((c|c)&((c>c)&c))&(c&c))&c)) | 0 | 1 | 1 | 1 | not entailment |
~((~((c>c))|(c|((c|c)&(c&c))))) | (c&c) | 0 | 1 | 1 | 1 | not entailment |
((c|c)&(((c|~(c))|(c|c))>c)) | ((c&c)|(~((c&c))&((c|(c>c))>c))) | 1 | 0 | 1 | 1 | entailment |
(((c>c)|~(((c>c)|c)))>(c>~((c>c)))) | ~((c|c)) | 1 | 1 | 1 | 1 | entailment |
((c|c)&(((c|~(c))|(c|c))>c)) | ~((c|c)) | 0 | 1 | 1 | 1 | not entailment |
(((c>c)|~(((c>c)|c)))>(c>~((c>c)))) | ((c&c)|(~((c&c))&((c|(c>c))>c))) | 0 | 1 | 1 | 1 | not entailment |
((~(((c&c)>c))|c)&(((c>(c|c))|c)&(c&c))) | (c&c) | 1 | 1 | 1 | 1 | entailment |
((c|c)>(~((c&(c>c)))|~(~(~((c>c)))))) | ~((c|c)) | 1 | 1 | 1 | 1 | entailment |
((~(((c&c)>c))|c)&(((c>(c|c))|c)&(c&c))) | ~((c|c)) | 0 | 1 | 1 | 1 | not entailment |
((c|c)>(~((c&(c>c)))|~(~(~((c>c)))))) | (c&c) | 0 | 1 | 1 | 1 | not entailment |
((p|(j|m))>(g&(m>e))) | (p>g) | 1 | 1 | 1 | 1 | entailment |
(i&(m&p)) | ((c>m)|((p|j)|e)) | 1 | 0 | 0 | 0 | entailment |
((p|(j|m))>(g&(m>e))) | ((c>m)|((p|j)|e)) | 0 | 1 | 0 | 0 | not entailment |
(i&(m&p)) | (p>g) | 0 | 1 | 0 | 0 | not entailment |
((~((~((~(w)&(c|u)))&g))&m)&i) | (g|i) | 1 | 1 | 1 | 0 | entailment |
(((w|j)|~((~(j)|((g|w)|g))))&c) | (c&((g|c)|((c&u)&e))) | 1 | 1 | 0 | 0 | entailment |
((~((~((~(w)&(c|u)))&g))&m)&i) | (c&((g|c)|((c&u)&e))) | 0 | 1 | 0 | 0 | not entailment |
(((w|j)|~((~(j)|((g|w)|g))))&c) | (g|i) | 0 | 1 | 0 | 0 | not entailment |
((j&w)&(~(c)|((c|u)>c))) | (((j|g)|p)|((u&(w&p))&~(g))) | 1 | 0 | 0 | 0 | entailment |
~(((((~(p)&c)&m)>(w>p))>(u|i))) | (~(((u>(j|e))|~((w&m))))|~((u|i))) | 1 | 0 | 0 | 0 | entailment |
((j&w)&(~(c)|((c|u)>c))) | (~(((u>(j|e))|~((w&m))))|~((u|i))) | 0 | 0 | 0 | 0 | not entailment |
~(((((~(p)&c)&m)>(w>p))>(u|i))) | (((j|g)|p)|((u&(w&p))&~(g))) | 0 | 1 | 0 | 0 | not entailment |
((i&~(c))|((e&~((e>(e|i))))&i)) | (m>((~(c)>~(~((i|j))))|(g|u))) | 1 | 1 | 0 | 0 | entailment |
(e&((~(j)&~((j&c)))&(p>w))) | (~(~(g))>((((e>e)>g)>((g>e)|j))|e)) | 1 | 0 | 0 | 0 | entailment |
((i&~(c))|((e&~((e>(e|i))))&i)) | (~(~(g))>((((e>e)>g)>((g>e)|j))|e)) | 0 | 0 | 0 | 0 | not entailment |
(e&((~(j)&~((j&c)))&(p>w))) | (m>((~(c)>~(~((i|j))))|(g|u))) | 0 | 0 | 0 | 0 | not entailment |
(~((c>p))&((m>~((g&i)))|~(c))) | (c&c) | 1 | 1 | 1 | 1 | entailment |
(e&j) | (((u|w)>(p&g))|j) | 1 | 0 | 0 | 0 | entailment |
(~((c>p))&((m>~((g&i)))|~(c))) | (((u|w)>(p&g))|j) | 0 | 1 | 0 | 0 | not entailment |
(e&j) | (c&c) | 0 | 1 | 0 | 0 | not entailment |
(p&~(((((m&(g|p))&w)>(j|i))&p))) | (((u|p)>i)>(((i&i)&u)&m)) | 1 | 1 | 0 | 0 | entailment |
~((e>m)) | (~((~(g)&(e>p)))>((w&(e|g))>e)) | 1 | 0 | 0 | 0 | entailment |
(p&~(((((m&(g|p))&w)>(j|i))&p))) | (~((~(g)&(e>p)))>((w&(e|g))>e)) | 0 | 1 | 0 | 0 | not entailment |
~((e>m)) | (((u|p)>i)>(((i&i)&u)&m)) | 0 | 0 | 0 | 0 | not entailment |
~((m>p)) | (j>m) | 1 | 1 | 0 | 0 | entailment |
((m>~(~(((p|((g&j)>u))>~(i)))))&w) | ((w&(i|w))|(~(e)>p)) | 1 | 1 | 0 | 0 | entailment |
~((m>p)) | ((w&(i|w))|(~(e)>p)) | 0 | 0 | 0 | 0 | not entailment |
((m>~(~(((p|((g&j)>u))>~(i)))))&w) | (j>m) | 0 | 1 | 1 | 0 | not entailment |
~(((i>i)>~((g&e)))) | ~((m&(~(w)&~(((u|(m|j))&g))))) | 1 | 0 | 0 | 0 | entailment |
~(j) | (j>((i&p)|(g>c))) | 1 | 0 | 0 | 0 | entailment |
~(((i>i)>~((g&e)))) | (j>((i&p)|(g>c))) | 0 | 1 | 0 | 0 | not entailment |
~(j) | ~((m&(~(w)&~(((u|(m|j))&g))))) | 0 | 0 | 0 | 0 | not entailment |
~((u|(m|j))) | (~((((m&i)>w)&(i>m)))>(g>(m>(u|(c|e))))) | 1 | 0 | 0 | 0 | entailment |
~((p>u)) | (w|p) | 1 | 1 | 0 | 0 | entailment |
~((u|(m|j))) | (w|p) | 0 | 1 | 0 | 0 | not entailment |
~((p>u)) | (~((((m&i)>w)&(i>m)))>(g>(m>(u|(c|e))))) | 0 | 0 | 0 | 0 | not entailment |
(c&~(((e|e)>(u&m)))) | (e|(((c&i)|((m|i)|(i&p)))>(e|~(~(c))))) | 1 | 0 | 0 | 0 | entailment |
((~(~(~((j|u))))>j)&u) | (~(((c>j)>m))|u) | 1 | 1 | 0 | 0 | entailment |
(c&~(((e|e)>(u&m)))) | (~(((c>j)>m))|u) | 0 | 1 | 0 | 0 | not entailment |
((~(~(~((j|u))))>j)&u) | (e|(((c&i)|((m|i)|(i&p)))>(e|~(~(c))))) | 0 | 0 | 0 | 0 | not entailment |
~((c>((((i>i)&(j>u))>w)|m))) | (~(((p|(e&p))&p))>((c|w)&c)) | 1 | 1 | 0 | 0 | entailment |
~(((m&~(p))|(~((e|~(j)))>(g|(p&c))))) | ((i>p)|~(((((i>(w&p))>~((p>e)))&j)&g))) | 1 | 1 | 0 | 0 | entailment |
~((c>((((i>i)&(j>u))>w)|m))) | ((i>p)|~(((((i>(w&p))>~((p>e)))&j)&g))) | 0 | 0 | 0 | 0 | not entailment |
~(((m&~(p))|(~((e|~(j)))>(g|(p&c))))) | (~(((p|(e&p))&p))>((c|w)&c)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(u))|~(~(w)))) | ((w>(i|i))|(j&(j&(e|p)))) | 1 | 1 | 0 | 0 | entailment |
((p|p)>j) | (((~(w)>((p&j)|~(p)))|~(g))|(g&u)) | 1 | 0 | 0 | 0 | entailment |
~((~(~(u))|~(~(w)))) | (((~(w)>((p&j)|~(p)))|~(g))|(g&u)) | 0 | 0 | 0 | 0 | not entailment |
((p|p)>j) | ((w>(i|i))|(j&(j&(e|p)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~((~(j)>g))&i)>(i>~(((p|e)|m))))) | (c|((((c|p)>(j>(c>m)))|~(p))>(p>~(g)))) | 1 | 1 | 0 | 0 | entailment |
(p&e) | (~(g)>e) | 1 | 0 | 0 | 0 | entailment |
~(((~((~(j)>g))&i)>(i>~(((p|e)|m))))) | (~(g)>e) | 0 | 1 | 1 | 0 | not entailment |
(p&e) | (c|((((c|p)>(j>(c>m)))|~(p))>(p>~(g)))) | 0 | 0 | 0 | 0 | not entailment |
(u&~(((((c|m)|j)&m)>(j|(u>w))))) | (j>(c&i)) | 1 | 1 | 0 | 0 | entailment |
((w|((w|g)>g))>(p&((e&i)|p))) | (u>p) | 1 | 1 | 0 | 0 | entailment |
(u&~(((((c|m)|j)&m)>(j|(u>w))))) | (u>p) | 0 | 1 | 0 | 0 | not entailment |
((w|((w|g)>g))>(p&((e&i)|p))) | (j>(c&i)) | 0 | 1 | 0 | 0 | not entailment |
(e&m) | ~(~(((~(u)&(i>j))>m))) | 1 | 0 | 0 | 0 | entailment |
~((u|(i|~((i|c))))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
(e&m) | ~(u) | 0 | 1 | 0 | 0 | not entailment |
~((u|(i|~((i|c))))) | ~(~(((~(u)&(i>j))>m))) | 0 | 0 | 0 | 0 | not entailment |
~(((w&m)>u)) | (((~(((~(j)>i)>m))|m)|j)|w) | 1 | 0 | 0 | 0 | entailment |
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