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 |
|---|---|---|---|---|---|---|
(r&v) | ((q>~(((q|w)>r)))|(v>~(v))) | 0 | 0 | 0 | 0 | not entailment |
(~(((i>(q>~(~((q>(v>w))))))>(q|q)))&i) | ((w|w)|(v|r)) | 0 | 1 | 0 | 0 | not entailment |
(q&~(((r|i)>i))) | (((r>q)|~(i))&((~(v)|r)|(r&q))) | 1 | 0 | 0 | 0 | entailment |
(~(w)&i) | ~(w) | 1 | 1 | 1 | 1 | entailment |
(q&~(((r|i)>i))) | ~(w) | 0 | 1 | 0 | 0 | not entailment |
(~(w)&i) | (((r>q)|~(i))&((~(v)|r)|(r&q))) | 0 | 0 | 0 | 0 | not entailment |
~(p) | (c>(q>((p>m)|f))) | 1 | 0 | 0 | 0 | entailment |
(~(~(q))&(((a&(p>p))>a)|(q>f))) | (~(~(~(((f>(c>f))|f))))|q) | 1 | 1 | 0 | 0 | entailment |
~(p) | (~(~(~(((f>(c>f))|f))))|q) | 0 | 0 | 0 | 0 | not entailment |
(~(~(q))&(((a&(p>p))>a)|(q>f))) | (c>(q>((p>m)|f))) | 0 | 1 | 0 | 0 | not entailment |
(f&((p|(q|c))>a)) | (q>f) | 1 | 1 | 1 | 1 | entailment |
~(((m>(f&q))>((~(~(c))|(f|f))&q))) | (((c>p)|~(p))&(q>(c>~(p)))) | 1 | 1 | 0 | 0 | entailment |
(f&((p|(q|c))>a)) | (((c>p)|~(p))&(q>(c>~(p)))) | 0 | 0 | 1 | 0 | not entailment |
~(((m>(f&q))>((~(~(c))|(f|f))&q))) | (q>f) | 0 | 1 | 1 | 1 | not entailment |
(m|((a>a)&~(((m|m)>m)))) | ((p>(c|f))|m) | 1 | 1 | 0 | 0 | entailment |
(a|a) | (a|a) | 1 | 1 | 1 | 1 | entailment |
(m|((a>a)&~(((m|m)>m)))) | (a|a) | 0 | 1 | 1 | 1 | not entailment |
(a|a) | ((p>(c|f))|m) | 0 | 0 | 0 | 0 | not entailment |
~((p|(~(f)&(q|c)))) | ~(((c&(p&a))&a)) | 1 | 1 | 0 | 0 | entailment |
~(((q>a)>m)) | (((~((p|c))|(a&a))&m)>((q|q)|(m>a))) | 1 | 0 | 0 | 0 | entailment |
~((p|(~(f)&(q|c)))) | (((~((p|c))|(a&a))&m)>((q|q)|(m>a))) | 0 | 0 | 0 | 0 | not entailment |
~(((q>a)>m)) | ~(((c&(p&a))&a)) | 0 | 0 | 0 | 0 | not entailment |
(~((p>(c|(q&q))))&(p&m)) | ((~(m)>~(a))>((c|(q|c))|((q>m)>p))) | 1 | 0 | 0 | 0 | entailment |
~(((p>a)>a)) | ~(p) | 1 | 1 | 1 | 1 | entailment |
(~((p>(c|(q&q))))&(p&m)) | ~(p) | 0 | 1 | 1 | 0 | not entailment |
~(((p>a)>a)) | ((~(m)>~(a))>((c|(q|c))|((q>m)>p))) | 0 | 0 | 0 | 0 | not entailment |
(q&(c&(q&((a>m)>c)))) | ~(((((q>c)|f)>~(a))&((q&c)>~(q)))) | 1 | 0 | 0 | 0 | entailment |
(((~((m>q))&~(p))&m)&(c|m)) | ~(~(~(q))) | 1 | 1 | 1 | 1 | entailment |
(q&(c&(q&((a>m)>c)))) | ~(~(~(q))) | 0 | 1 | 1 | 0 | not entailment |
(((~((m>q))&~(p))&m)&(c|m)) | ~(((((q>c)|f)>~(a))&((q&c)>~(q)))) | 0 | 0 | 0 | 0 | not entailment |
(c&(~(~(q))|c)) | ((c|((a|c)&~(a)))|~((a>q))) | 1 | 0 | 0 | 0 | entailment |
~(((a>f)&(((c&q)&q)>(c>c)))) | ((p>f)>(a|(f|(q|a)))) | 1 | 1 | 0 | 0 | entailment |
(c&(~(~(q))|c)) | ((p>f)>(a|(f|(q|a)))) | 0 | 0 | 0 | 0 | not entailment |
~(((a>f)&(((c&q)&q)>(c>c)))) | ((c|((a|c)&~(a)))|~((a>q))) | 0 | 1 | 1 | 0 | not entailment |
~((~((((p&c)|(a>p))&~(p)))>(c&q))) | ((((a|a)|c)|p)|~(~(((c|c)&m)))) | 1 | 1 | 0 | 0 | entailment |
((c&(c>m))|m) | ((((a|(m&a))>(a|(c&m)))>~(q))>((p>m)&m)) | 1 | 0 | 0 | 0 | entailment |
~((~((((p&c)|(a>p))&~(p)))>(c&q))) | ((((a|(m&a))>(a|(c&m)))>~(q))>((p>m)&m)) | 0 | 0 | 0 | 0 | not entailment |
((c&(c>m))|m) | ((((a|a)|c)|p)|~(~(((c|c)&m)))) | 0 | 0 | 0 | 0 | not entailment |
((((a&a)|f)&a)&m) | (m|(q&p)) | 1 | 1 | 0 | 0 | entailment |
~((~(a)|((a>p)|(c>~((c|c)))))) | (((p>c)>m)>(((m>p)&m)>(c>(f>q)))) | 1 | 1 | 0 | 0 | entailment |
((((a&a)|f)&a)&m) | (((p>c)>m)>(((m>p)&m)>(c>(f>q)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(a)|((a>p)|(c>~((c|c)))))) | (m|(q&p)) | 0 | 1 | 0 | 0 | not entailment |
~((m|c)) | ~((~((~(~(c))>(p&(c|c))))&~(m))) | 1 | 0 | 0 | 0 | entailment |
((q|q)&(q>c)) | (~(a)>c) | 1 | 1 | 0 | 0 | entailment |
~((m|c)) | (~(a)>c) | 0 | 1 | 0 | 0 | not entailment |
((q|q)&(q>c)) | ~((~((~(~(c))>(p&(c|c))))&~(m))) | 0 | 0 | 0 | 0 | not entailment |
~((((a|(p&m))>q)>((a|(f|p))>c))) | (c>~(~((f&((a|a)|f))))) | 1 | 1 | 1 | 1 | entailment |
~(((a&((m&q)>m))>(p|(a>m)))) | ~(~(~(m))) | 1 | 1 | 1 | 1 | entailment |
~((((a|(p&m))>q)>((a|(f|p))>c))) | ~(~(~(m))) | 0 | 1 | 1 | 1 | not entailment |
~(((a&((m&q)>m))>(p|(a>m)))) | (c>~(~((f&((a|a)|f))))) | 0 | 1 | 0 | 0 | not entailment |
(((a&((p>(p>c))&p))|(q&a))&~(c)) | (~(c)|q) | 1 | 1 | 1 | 1 | entailment |
(p&(a|p)) | ~(~(((p&p)|p))) | 1 | 0 | 1 | 1 | entailment |
(((a&((p>(p>c))&p))|(q&a))&~(c)) | ~(~(((p&p)|p))) | 0 | 1 | 1 | 1 | not entailment |
(p&(a|p)) | (~(c)|q) | 0 | 1 | 0 | 0 | not entailment |
((c|p)&(m>((m&c)|q))) | ((c|p)|f) | 1 | 1 | 0 | 0 | entailment |
((m|q)&a) | ((((c&p)|c)>p)>a) | 1 | 0 | 0 | 0 | entailment |
((c|p)&(m>((m&c)|q))) | ((((c&p)|c)>p)>a) | 0 | 1 | 0 | 0 | not entailment |
((m|q)&a) | ((c|p)|f) | 0 | 1 | 0 | 0 | not entailment |
(p>~((p&~((q&~((m&~((a>f))))))))) | (q|(f>~((p&~(~(((c>(q|c))>a))))))) | 1 | 1 | 0 | 0 | entailment |
((m&f)&a) | (a|(p&q)) | 1 | 1 | 0 | 0 | entailment |
(p>~((p&~((q&~((m&~((a>f))))))))) | (a|(p&q)) | 0 | 1 | 1 | 0 | not entailment |
((m&f)&a) | (q|(f>~((p&~(~(((c>(q|c))>a))))))) | 0 | 0 | 0 | 0 | not entailment |
(a&q) | (~((q>m))|(f>m)) | 1 | 0 | 0 | 0 | entailment |
(~(((c|((p&m)|f))&a))&(c&(a>(q&a)))) | (~(f)>~((a&~(((f|(q&c))&(q|a)))))) | 1 | 1 | 1 | 0 | entailment |
(a&q) | (~(f)>~((a&~(((f|(q&c))&(q|a)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(((c|((p&m)|f))&a))&(c&(a>(q&a)))) | (~((q>m))|(f>m)) | 0 | 1 | 1 | 0 | not entailment |
((~(m)|a)&f) | (~((p|a))>f) | 1 | 1 | 0 | 0 | entailment |
~((~((a&~(m)))>(((m>(q|a))|p)|(a&m)))) | (p>((a>p)&c)) | 1 | 1 | 0 | 0 | entailment |
((~(m)|a)&f) | (p>((a>p)&c)) | 0 | 1 | 0 | 0 | not entailment |
~((~((a&~(m)))>(((m>(q|a))|p)|(a&m)))) | (~((p|a))>f) | 0 | 1 | 0 | 0 | not entailment |
~(f) | ((((q&f)&p)&(((a>f)>q)|a))>~((f>a))) | 1 | 0 | 0 | 0 | entailment |
(q&~(~(((q>m)&(c&((q|p)&p)))))) | (~(~(q))&((c>p)&((~(a)|(p|m))&(q&p)))) | 1 | 0 | 0 | 0 | entailment |
~(f) | (~(~(q))&((c>p)&((~(a)|(p|m))&(q&p)))) | 0 | 0 | 0 | 0 | not entailment |
(q&~(~(((q>m)&(c&((q|p)&p)))))) | ((((q&f)&p)&(((a>f)>q)|a))>~((f>a))) | 0 | 0 | 0 | 0 | not entailment |
(p&~((m|a))) | ((f&(m>~(c)))|p) | 1 | 0 | 0 | 0 | entailment |
(c|c) | (q>((c>f)>c)) | 1 | 0 | 0 | 0 | entailment |
(p&~((m|a))) | (q>((c>f)>c)) | 0 | 1 | 0 | 0 | not entailment |
(c|c) | ((f&(m>~(c)))|p) | 0 | 0 | 0 | 0 | not entailment |
(a&(q|f)) | ((~((c|~(m)))&~((p&q)))>(p>a)) | 1 | 0 | 0 | 0 | entailment |
~((q|(q|(a|(~(a)&~(p)))))) | (~(p)>(p&((m&q)>(f>m)))) | 1 | 1 | 0 | 0 | entailment |
(a&(q|f)) | (~(p)>(p&((m&q)>(f>m)))) | 0 | 0 | 0 | 0 | not entailment |
~((q|(q|(a|(~(a)&~(p)))))) | ((~((c|~(m)))&~((p&q)))>(p>a)) | 0 | 0 | 0 | 0 | not entailment |
(t&t) | ((r|(((~(p)>a)>r)>(m|m)))>((r|t)|j)) | 1 | 0 | 0 | 0 | entailment |
(j|~(m)) | (((j|p)&(p|a))>(m>(~((t|r))|j))) | 1 | 0 | 0 | 0 | entailment |
(t&t) | (((j|p)&(p|a))>(m>(~((t|r))|j))) | 0 | 0 | 0 | 0 | not entailment |
(j|~(m)) | ((r|(((~(p)>a)>r)>(m|m)))>((r|t)|j)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((j>~(m))>(m>t))))) | ((((p>m)|p)>m)|((p|(p>j))&r)) | 1 | 1 | 0 | 0 | entailment |
(((t|r)&((p|j)>j))&((j>(t|t))&(p|p))) | ((j|t)&p) | 1 | 1 | 1 | 1 | entailment |
~(~(~(((j>~(m))>(m>t))))) | ((j|t)&p) | 0 | 1 | 0 | 0 | not entailment |
(((t|r)&((p|j)>j))&((j>(t|t))&(p|p))) | ((((p>m)|p)>m)|((p|(p>j))&r)) | 0 | 1 | 0 | 0 | not entailment |
((a&a)&((j>t)>t)) | ((p>(r&a))|((j|~(((r&a)|(a|(a&r)))))>j)) | 1 | 0 | 0 | 0 | entailment |
(((r|t)|((m|j)>(t>j)))&r) | (~(((a|t)>m))>((~(r)&t)>(p&a))) | 1 | 0 | 0 | 0 | entailment |
((a&a)&((j>t)>t)) | (~(((a|t)>m))>((~(r)&t)>(p&a))) | 0 | 0 | 0 | 0 | not entailment |
(((r|t)|((m|j)>(t>j)))&r) | ((p>(r&a))|((j|~(((r&a)|(a|(a&r)))))>j)) | 0 | 0 | 0 | 0 | not entailment |
((((a&p)|(p>m))|r)&((~(~((p&t)))>j)>t)) | (((m>a)|((j>~(~(p)))>a))|(~(m)|t)) | 1 | 1 | 1 | 0 | entailment |
((p&j)&r) | ((a|(r>((m|(m|(a>m)))>t)))>(m|((j|r)&r))) | 1 | 0 | 0 | 0 | entailment |
((((a&p)|(p>m))|r)&((~(~((p&t)))>j)>t)) | ((a|(r>((m|(m|(a>m)))>t)))>(m|((j|r)&r))) | 0 | 1 | 1 | 0 | not entailment |
((p&j)&r) | (((m>a)|((j>~(~(p)))>a))|(~(m)|t)) | 0 | 0 | 0 | 0 | not entailment |
((m>a)&(~(j)&m)) | (~((((~(j)|a)|t)>(j>p)))>(a&p)) | 1 | 0 | 0 | 0 | entailment |
(j&(p>(r>p))) | ((~(m)|~((m>(t&a))))>(~(p)>~(~(j)))) | 1 | 0 | 0 | 0 | entailment |
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