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 |
|---|---|---|---|---|---|---|
~(h) | (((q>(m&q))>(h|m))>~((h|h))) | 1 | 0 | 0 | 0 | entailment |
(~((l>o))&(((h|h)>m)|~(m))) | (((q>(m&q))>(h|m))>~((h|h))) | 0 | 1 | 0 | 0 | not entailment |
~(h) | ~((~(~(~(~((q&(l|h))))))&o)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((q|f)&l))) | (~(~(l))|l) | 1 | 1 | 1 | 1 | entailment |
~(((((f&l)>l)|(q>o))&((o|(h|q))|f))) | (f>o) | 1 | 1 | 1 | 0 | entailment |
~(~(((q|f)&l))) | (f>o) | 0 | 1 | 0 | 0 | not entailment |
~(((((f&l)>l)|(q>o))&((o|(h|q))|f))) | (~(~(l))|l) | 0 | 1 | 1 | 1 | not entailment |
((l&(m&f))&~((~((h>o))|h))) | (l&(~(~((m&h)))>(f|m))) | 1 | 1 | 1 | 0 | entailment |
(((o&m)|(l>(~(m)>(m&l))))>~((f>m))) | ~((m&(h|~(~((h|l)))))) | 1 | 1 | 0 | 0 | entailment |
((l&(m&f))&~((~((h>o))|h))) | ~((m&(h|~(~((h|l)))))) | 0 | 1 | 1 | 0 | not entailment |
(((o&m)|(l>(~(m)>(m&l))))>~((f>m))) | (l&(~(~((m&h)))>(f|m))) | 0 | 1 | 0 | 0 | not entailment |
~((f>h)) | (~(l)>(h>((~((o>l))&f)>m))) | 1 | 0 | 0 | 0 | entailment |
(((m|m)|(m>l))&(o&f)) | ((~(o)&l)>((~(m)>(q>l))>(q&(q&l)))) | 1 | 0 | 0 | 0 | entailment |
~((f>h)) | ((~(o)&l)>((~(m)>(q>l))>(q&(q&l)))) | 0 | 0 | 0 | 0 | not entailment |
(((m|m)|(m>l))&(o&f)) | (~(l)>(h>((~((o>l))&f)>m))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((m>r)|l))>(l&(e|l)))) | (~((r|l))>(m|(l&~((r|r))))) | 1 | 1 | 1 | 0 | entailment |
~(~(~(((w>p)|m)))) | ((w&(p|(m&w)))>((e|(e|~(p)))|l)) | 1 | 0 | 0 | 0 | entailment |
~((~(((m>r)|l))>(l&(e|l)))) | ((w&(p|(m&w)))>((e|(e|~(p)))|l)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((w>p)|m)))) | (~((r|l))>(m|(l&~((r|r))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((m>m)>r))) | ((w|r)|~(~((((l&(m|e))&(m|w))>e)))) | 1 | 0 | 0 | 0 | entailment |
((~(e)&(m>m))&p) | (~(m)|((p|(p&((m|(w&p))>w)))|e)) | 1 | 0 | 0 | 0 | entailment |
~(~(((m>m)>r))) | (~(m)|((p|(p&((m|(w&p))>w)))|e)) | 0 | 0 | 0 | 0 | not entailment |
((~(e)&(m>m))&p) | ((w|r)|~(~((((l&(m|e))&(m|w))>e)))) | 0 | 0 | 0 | 0 | not entailment |
((~(m)&l)&~((e&e))) | (~((((e>(m&(w&p)))&m)|m))|(m&~(w))) | 1 | 0 | 0 | 0 | entailment |
(p&(w&l)) | (r>w) | 1 | 1 | 0 | 0 | entailment |
((~(m)&l)&~((e&e))) | (r>w) | 0 | 1 | 0 | 0 | not entailment |
(p&(w&l)) | (~((((e>(m&(w&p)))&m)|m))|(m&~(w))) | 0 | 0 | 0 | 0 | not entailment |
(((((l>m)&(r&p))&~(l))>r)&(r&p)) | ~(~(((m>(~(w)|(r&(r>r))))|(e>r)))) | 1 | 0 | 0 | 0 | entailment |
(((r>l)>e)&w) | ((~(m)>((~(l)>p)>w))>w) | 1 | 0 | 0 | 0 | entailment |
(((((l>m)&(r&p))&~(l))>r)&(r&p)) | ((~(m)>((~(l)>p)>w))>w) | 0 | 1 | 0 | 0 | not entailment |
(((r>l)>e)&w) | ~(~(((m>(~(w)|(r&(r>r))))|(e>r)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((p>(l|~(m)))|(m>(m&w))))&(~(e)>e)) | ((~((e&(w&m)))&m)|p) | 1 | 1 | 1 | 0 | entailment |
~((~((w|e))>(r>((m|~(~(l)))&r)))) | ~(((l&e)|((r>l)|~((~(e)&~((e|e))))))) | 1 | 0 | 1 | 1 | entailment |
(~(((p>(l|~(m)))|(m>(m&w))))&(~(e)>e)) | ~(((l&e)|((r>l)|~((~(e)&~((e|e))))))) | 0 | 1 | 0 | 0 | not entailment |
~((~((w|e))>(r>((m|~(~(l)))&r)))) | ((~((e&(w&m)))&m)|p) | 0 | 1 | 0 | 0 | not entailment |
(((r|m)|l)&e) | ((e&e)|~(~((((w&e)|(p>m))>~(m))))) | 1 | 0 | 0 | 0 | entailment |
((e|~((((m>(e|w))&e)&~(m))))>(m&~(e))) | ((~(~(~(e)))|(m&m))|w) | 1 | 1 | 1 | 1 | entailment |
(((r|m)|l)&e) | ((~(~(~(e)))|(m&m))|w) | 0 | 0 | 0 | 0 | not entailment |
((e|~((((m>(e|w))&e)&~(m))))>(m&~(e))) | ((e&e)|~(~((((w&e)|(p>m))>~(m))))) | 0 | 1 | 0 | 0 | not entailment |
(~((r>m))&l) | (~((r|r))>m) | 1 | 1 | 1 | 0 | entailment |
(w&(~(e)>((e&r)>e))) | (((~(~(m))>l)>(l|r))>w) | 1 | 0 | 0 | 0 | entailment |
(~((r>m))&l) | (((~(~(m))>l)>(l|r))>w) | 0 | 0 | 0 | 0 | not entailment |
(w&(~(e)>((e&r)>e))) | (~((r|r))>m) | 0 | 1 | 0 | 0 | not entailment |
(~((((p>(l&w))|l)|m))&((~(m)&e)&r)) | ~(~((((m|((m&m)&e))&((p>(r&p))>m))>e))) | 1 | 0 | 1 | 0 | entailment |
~(((w&~((p>((l|l)&e))))>~(((p>r)>p)))) | (((w|w)|w)|(~((w|w))>(w|m))) | 1 | 1 | 0 | 0 | entailment |
(~((((p>(l&w))|l)|m))&((~(m)&e)&r)) | (((w|w)|w)|(~((w|w))>(w|m))) | 0 | 1 | 1 | 0 | not entailment |
~(((w&~((p>((l|l)&e))))>~(((p>r)>p)))) | ~(~((((m|((m&m)&e))&((p>(r&p))>m))>e))) | 0 | 1 | 0 | 0 | not entailment |
~((((e|l)&(e>(r|r)))>~(e))) | (m>r) | 1 | 1 | 0 | 0 | entailment |
~((m>(e&m))) | (((~(l)|l)&(~(e)&p))|(~(m)>w)) | 1 | 0 | 0 | 0 | entailment |
~((((e|l)&(e>(r|r)))>~(e))) | (((~(l)|l)&(~(e)&p))|(~(m)>w)) | 0 | 0 | 0 | 0 | not entailment |
~((m>(e&m))) | (m>r) | 0 | 1 | 0 | 0 | not entailment |
((~(p)|(m&~(p)))>(p&p)) | (((e>~((~(l)|(e&w))))>p)|(r&~(m))) | 1 | 0 | 0 | 0 | entailment |
(l&~((~(~((w|p)))|r))) | ~((~(l)&(e&((p&p)&m)))) | 1 | 1 | 0 | 0 | entailment |
((~(p)|(m&~(p)))>(p&p)) | ~((~(l)&(e&((p&p)&m)))) | 0 | 1 | 0 | 0 | not entailment |
(l&~((~(~((w|p)))|r))) | (((e>~((~(l)|(e&w))))>p)|(r&~(m))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~((w&(l|e)))&(((l>p)&m)>~(p))))) | ((w|m)>((p>m)>((e|p)>m))) | 1 | 1 | 1 | 0 | entailment |
(((l|p)&e)&(e>(((p|p)|r)>r))) | (l|(r&p)) | 1 | 1 | 1 | 1 | entailment |
~(~((~((w&(l|e)))&(((l>p)&m)>~(p))))) | (l|(r&p)) | 0 | 1 | 0 | 0 | not entailment |
(((l|p)&e)&(e>(((p|p)|r)>r))) | ((w|m)>((p>m)>((e|p)>m))) | 0 | 1 | 0 | 0 | not entailment |
~(((e>(m&((w&l)|r)))|(((w&m)&e)|(w|r)))) | (r>(r>e)) | 1 | 1 | 1 | 1 | entailment |
(~(((w>e)|p))&r) | ((~(~((e>p)))|(l&l))|~(~((e>r)))) | 1 | 0 | 0 | 0 | entailment |
~(((e>(m&((w&l)|r)))|(((w&m)&e)|(w|r)))) | ((~(~((e>p)))|(l&l))|~(~((e>r)))) | 0 | 1 | 0 | 0 | not entailment |
(~(((w>e)|p))&r) | (r>(r>e)) | 0 | 1 | 1 | 0 | not entailment |
~((~(r)|((p|e)&((e|e)>p)))) | (w|(p>(w&(l&e)))) | 1 | 1 | 0 | 0 | entailment |
(~(((~(w)|m)&e))&p) | ~((((~(~(e))>r)|(e|l))&~((~(e)|p)))) | 1 | 0 | 0 | 0 | entailment |
~((~(r)|((p|e)&((e|e)>p)))) | ~((((~(~(e))>r)|(e|l))&~((~(e)|p)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((~(w)|m)&e))&p) | (w|(p>(w&(l&e)))) | 0 | 1 | 0 | 0 | not entailment |
((~((r>l))&l)|~((p|~(~((w&w)))))) | (((w>p)&(((m>p)|(p&m))&p))>l) | 1 | 1 | 0 | 0 | entailment |
(~((w|~(p)))&((p|l)|~(~((r|w))))) | (p|(((r&m)|r)>~((~((l|p))&(~(m)|w))))) | 1 | 0 | 0 | 0 | entailment |
((~((r>l))&l)|~((p|~(~((w&w)))))) | (p|(((r&m)|r)>~((~((l|p))&(~(m)|w))))) | 0 | 0 | 0 | 0 | not entailment |
(~((w|~(p)))&((p|l)|~(~((r|w))))) | (((w>p)&(((m>p)|(p&m))&p))>l) | 0 | 1 | 0 | 0 | not entailment |
(~(r)|(m&(((p&e)|(m|l))>~(r)))) | (~((m|(r>~((m|w)))))>m) | 1 | 1 | 0 | 0 | entailment |
(w&~((e&w))) | (e|w) | 1 | 1 | 1 | 0 | entailment |
(~(r)|(m&(((p&e)|(m|l))>~(r)))) | (e|w) | 0 | 1 | 0 | 0 | not entailment |
(w&~((e&w))) | (~((m|(r>~((m|w)))))>m) | 0 | 0 | 0 | 0 | not entailment |
(w>~((~(~(m))|(e|(m>r))))) | (w>~(~(~(((p>m)>((p&w)|~(r))))))) | 1 | 0 | 0 | 0 | entailment |
(r&(w&(e&~(l)))) | (w|((~((m>w))|(w>(e&e)))>~((w>p)))) | 1 | 0 | 0 | 0 | entailment |
(w>~((~(~(m))|(e|(m>r))))) | (w|((~((m>w))|(w>(e&e)))>~((w>p)))) | 0 | 0 | 0 | 0 | not entailment |
(r&(w&(e&~(l)))) | (w>~(~(~(((p>m)>((p&w)|~(r))))))) | 0 | 0 | 0 | 0 | not entailment |
((~(~(m))&(e&l))|~(p)) | ~(((~(e)&p)&(~(w)&m))) | 1 | 1 | 0 | 0 | entailment |
(p&m) | ((~(~(m))>w)|p) | 1 | 0 | 0 | 0 | entailment |
((~(~(m))&(e&l))|~(p)) | ((~(~(m))>w)|p) | 0 | 1 | 0 | 0 | not entailment |
(p&m) | ~(((~(e)&p)&(~(w)&m))) | 0 | 0 | 0 | 0 | not entailment |
((~(m)&(~((m|(p|m)))>~(l)))&(l&~(w))) | (~((w>l))>l) | 1 | 1 | 1 | 1 | entailment |
~(~((w&((p|m)>~((~(e)>e)))))) | ((m|~(~((m&r))))|w) | 1 | 1 | 0 | 0 | entailment |
((~(m)&(~((m|(p|m)))>~(l)))&(l&~(w))) | ((m|~(~((m&r))))|w) | 0 | 1 | 0 | 0 | not entailment |
~(~((w&((p|m)>~((~(e)>e)))))) | (~((w>l))>l) | 0 | 1 | 0 | 0 | not entailment |
((e&e)&g) | ((j&(g>y))>(j&e)) | 1 | 0 | 0 | 0 | entailment |
((y&((e>y)>y))&(g&(j|g))) | ~((((y&y)|(j|y))&~((((j&g)|e)>y)))) | 1 | 0 | 1 | 0 | entailment |
((e&e)&g) | ~((((y&y)|(j|y))&~((((j&g)|e)>y)))) | 0 | 0 | 0 | 0 | not entailment |
((y&((e>y)>y))&(g&(j|g))) | ((j&(g>y))>(j&e)) | 0 | 1 | 1 | 0 | not entailment |
((((e>(j&e))>(g>e))&~(j))&e) | (y|~((((y|j)>~(y))>j))) | 1 | 1 | 0 | 0 | entailment |
~(((~(e)>(~((g&((y&g)>j)))>(y&g)))>e)) | (~((g&g))>(y|j)) | 1 | 1 | 1 | 1 | entailment |
((((e>(j&e))>(g>e))&~(j))&e) | (~((g&g))>(y|j)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(e)>(~((g&((y&g)>j)))>(y&g)))>e)) | (y|~((((y|j)>~(y))>j))) | 0 | 1 | 1 | 0 | not entailment |
((e>j)>g) | (~(~(e))|(((g>(g&e))|e)>((j|j)>(g&g)))) | 1 | 0 | 1 | 0 | entailment |
~(~(~(~((j&(g|y)))))) | (j|y) | 1 | 1 | 1 | 1 | entailment |
((e>j)>g) | (j|y) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~((j&(g|y)))))) | (~(~(e))|(((g>(g&e))|e)>((j|j)>(g&g)))) | 0 | 0 | 0 | 0 | not entailment |
(~((((y>j)>(e>j))>e))&((g|e)|y)) | (e>(e&~(~(((g|y)&e))))) | 1 | 1 | 1 | 1 | entailment |
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