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 |
|---|---|---|---|---|---|---|
~(z) | ~((~(((~(d)&z)&r))>~((z>z)))) | 1 | 0 | 0 | 0 | entailment |
((((n>~(m))|((n|l)|n))>(z&z))&l) | ~((~(((~(d)&z)&r))>~((z>z)))) | 0 | 1 | 0 | 0 | not entailment |
~(z) | ((d&r)>(d&z)) | 0 | 0 | 0 | 0 | not entailment |
((l&(d&n))&(r>n)) | ((((r|n)|(z&m))|(~(m)>z))|((m&r)&(z&d))) | 1 | 0 | 0 | 0 | entailment |
(~((~((r>m))|l))&~((l&d))) | (((m>r)&z)|(l>z)) | 1 | 1 | 0 | 0 | entailment |
((l&(d&n))&(r>n)) | (((m>r)&z)|(l>z)) | 0 | 1 | 0 | 0 | not entailment |
(~((~((r>m))|l))&~((l&d))) | ((((r|n)|(z&m))|(~(m)>z))|((m&r)&(z&d))) | 0 | 0 | 0 | 0 | not entailment |
(l&~(~(m))) | ((~((z&(z&z)))>m)|((m|n)&r)) | 1 | 0 | 0 | 0 | entailment |
~(((d>~((r|d)))|l)) | (d&d) | 1 | 1 | 1 | 1 | entailment |
(l&~(~(m))) | (d&d) | 0 | 1 | 0 | 0 | not entailment |
~(((d>~((r|d)))|l)) | ((~((z&(z&z)))>m)|((m|n)&r)) | 0 | 0 | 0 | 0 | not entailment |
((d&(n>d))&~((l|m))) | (m>l) | 1 | 1 | 1 | 0 | entailment |
((z|(d|d))&((r>r)>(~((l&(m>n)))&n))) | ((z>r)>n) | 1 | 1 | 1 | 1 | entailment |
((d&(n>d))&~((l|m))) | ((z>r)>n) | 0 | 1 | 0 | 0 | not entailment |
((z|(d|d))&((r>r)>(~((l&(m>n)))&n))) | (m>l) | 0 | 1 | 1 | 0 | not entailment |
(~(~((l&~((~(z)&m)))))|((r&l)|l)) | ((d|l)&((l|(n|~(m)))|~(~((z>(d|n)))))) | 1 | 0 | 0 | 0 | entailment |
~(z) | ~(z) | 1 | 1 | 1 | 1 | entailment |
(~(~((l&~((~(z)&m)))))|((r&l)|l)) | ~(z) | 0 | 1 | 1 | 0 | not entailment |
~(z) | ((d|l)&((l|(n|~(m)))|~(~((z>(d|n)))))) | 0 | 0 | 0 | 0 | not entailment |
(b&((q>h)|y)) | ((v&~(~(((q|a)>y))))|b) | 1 | 0 | 0 | 0 | entailment |
(~((e&(a>b)))&~(~((b>(((q&e)&v)|q))))) | (((e&e)>~((q&b)))|~((e>~(l)))) | 1 | 1 | 0 | 0 | entailment |
(b&((q>h)|y)) | (((e&e)>~((q&b)))|~((e>~(l)))) | 0 | 0 | 0 | 0 | not entailment |
(~((e&(a>b)))&~(~((b>(((q&e)&v)|q))))) | ((v&~(~(((q|a)>y))))|b) | 0 | 1 | 0 | 0 | not entailment |
((d|n)>~(n)) | (~((y>v))|~(n)) | 1 | 0 | 0 | 0 | entailment |
~(~((b&(n|(y|n))))) | ((e|(v>a))|b) | 1 | 1 | 0 | 0 | entailment |
((d|n)>~(n)) | ((e|(v>a))|b) | 0 | 1 | 0 | 0 | not entailment |
~(~((b&(n|(y|n))))) | (~((y>v))|~(n)) | 0 | 1 | 0 | 0 | not entailment |
(((h|v)&h)&d) | ((b>d)|(q&(v|y))) | 1 | 0 | 0 | 0 | entailment |
((n|d)>(q&~(q))) | (b>(d>y)) | 1 | 1 | 0 | 0 | entailment |
(((h|v)&h)&d) | (b>(d>y)) | 0 | 1 | 0 | 0 | not entailment |
((n|d)>(q&~(q))) | ((b>d)|(q&(v|y))) | 0 | 1 | 0 | 0 | not entailment |
(~((h>((a>n)&a)))|(h&v)) | (h|(~(b)>l)) | 1 | 1 | 0 | 0 | entailment |
(((b>y)&e)&(~((d|(n|~((a&y)))))|h)) | ((v|v)>e) | 1 | 1 | 0 | 0 | entailment |
(~((h>((a>n)&a)))|(h&v)) | ((v|v)>e) | 0 | 1 | 0 | 0 | not entailment |
(((b>y)&e)&(~((d|(n|~((a&y)))))|h)) | (h|(~(b)>l)) | 0 | 1 | 0 | 0 | not entailment |
(((~(h)&b)|q)&a) | ((e|a)|h) | 1 | 1 | 0 | 0 | entailment |
~((~((n>y))|y)) | ~(~(~(~(~((l&(y&h))))))) | 1 | 0 | 0 | 0 | entailment |
(((~(h)&b)|q)&a) | ~(~(~(~(~((l&(y&h))))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((n>y))|y)) | ((e|a)|h) | 0 | 1 | 0 | 0 | not entailment |
~((((~(d)&e)&(b>(a&d)))|(e|(q&q)))) | ((l&e)>q) | 1 | 1 | 0 | 0 | entailment |
~(((y&b)>d)) | (a>b) | 1 | 1 | 0 | 0 | entailment |
~((((~(d)&e)&(b>(a&d)))|(e|(q&q)))) | (a>b) | 0 | 1 | 1 | 1 | not entailment |
~(((y&b)>d)) | ((l&e)>q) | 0 | 1 | 0 | 0 | not entailment |
~(((b>q)>(q|((h|y)&(y&d))))) | ((b|(l>l))>(n|~((a&b)))) | 1 | 1 | 0 | 0 | entailment |
((((~(q)>~(q))|h)|y)&~(l)) | ~(((((d>y)>b)>(~(((h|q)>h))|a))&l)) | 1 | 0 | 0 | 0 | entailment |
~(((b>q)>(q|((h|y)&(y&d))))) | ~(((((d>y)>b)>(~(((h|q)>h))|a))&l)) | 0 | 0 | 0 | 0 | not entailment |
((((~(q)>~(q))|h)|y)&~(l)) | ((b|(l>l))>(n|~((a&b)))) | 0 | 1 | 0 | 0 | not entailment |
~((((n|h)|a)>((a|h)|((l&n)|a)))) | (l>(n&y)) | 1 | 1 | 0 | 0 | entailment |
~((q>~(~((d|e))))) | ~(~(((~(((e>n)&e))&q)|d))) | 1 | 0 | 0 | 0 | entailment |
~((((n|h)|a)>((a|h)|((l&n)|a)))) | ~(~(((~(((e>n)&e))&q)|d))) | 0 | 1 | 0 | 0 | not entailment |
~((q>~(~((d|e))))) | (l>(n&y)) | 0 | 1 | 0 | 0 | not entailment |
((b>~(b))&((e&d)&(~(~(v))>l))) | ((h>d)|((e|y)|(e&((b&q)|a)))) | 1 | 1 | 0 | 0 | entailment |
((((v>q)>n)>(l>(d&v)))&~(((q|q)|(v|d)))) | ((q>b)&(d>(~(l)|v))) | 1 | 1 | 0 | 0 | entailment |
((b>~(b))&((e&d)&(~(~(v))>l))) | ((q>b)&(d>(~(l)|v))) | 0 | 1 | 0 | 0 | not entailment |
((((v>q)>n)>(l>(d&v)))&~(((q|q)|(v|d)))) | ((h>d)|((e|y)|(e&((b&q)|a)))) | 0 | 1 | 0 | 0 | not entailment |
((~(~(h))|~((~(q)|(l|v))))&(e&(b&h))) | (v>(d|(n>(l>e)))) | 1 | 1 | 0 | 0 | entailment |
~(~(~(~(~((y&((h>a)|y))))))) | ((l&y)>(~((v|n))&e)) | 1 | 1 | 0 | 0 | entailment |
((~(~(h))|~((~(q)|(l|v))))&(e&(b&h))) | ((l&y)>(~((v|n))&e)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~(~((y&((h>a)|y))))))) | (v>(d|(n>(l>e)))) | 0 | 1 | 0 | 0 | not entailment |
((n&((y&(v>d))|(d|q)))|b) | ((b|e)|(n|(l&q))) | 1 | 1 | 0 | 0 | entailment |
(y&v) | ((~(((q|(d>(n>h)))&b))|e)>(h|v)) | 1 | 0 | 0 | 0 | entailment |
((n&((y&(v>d))|(d|q)))|b) | ((~(((q|(d>(n>h)))&b))|e)>(h|v)) | 0 | 0 | 0 | 0 | not entailment |
(y&v) | ((b|e)|(n|(l&q))) | 0 | 0 | 0 | 0 | not entailment |
((d|g)&(d|d)) | (~(~(d))|q) | 1 | 1 | 0 | 0 | entailment |
~(~(((k&(g&p))&(q>v)))) | (k>p) | 1 | 1 | 1 | 0 | entailment |
((d|g)&(d|d)) | (k>p) | 0 | 1 | 0 | 0 | not entailment |
~(~(((k&(g&p))&(q>v)))) | (~(~(d))|q) | 0 | 1 | 0 | 0 | not entailment |
(~((c>d))&((q&(k&q))&(d>(~((q|c))&c)))) | ~((((k&q)&((q&~(~(d)))|d))&((c>g)|g))) | 1 | 1 | 0 | 0 | entailment |
~((((v&q)>((v&g)>q))&((g>v)>~(g)))) | ((k&c)>(c>v)) | 1 | 1 | 0 | 0 | entailment |
(~((c>d))&((q&(k&q))&(d>(~((q|c))&c)))) | ((k&c)>(c>v)) | 0 | 1 | 0 | 0 | not entailment |
~((((v&q)>((v&g)>q))&((g>v)>~(g)))) | ~((((k&q)&((q&~(~(d)))|d))&((c>g)|g))) | 0 | 0 | 0 | 0 | not entailment |
(q&g) | (~(~(k))>((v>v)&((c&g)|((q|k)>(g|q))))) | 1 | 0 | 0 | 0 | entailment |
((v&((k&c)>g))&((v>(q|(p|(k&p))))&p)) | (~((p|(~(c)>~((k&v)))))>c) | 1 | 1 | 1 | 0 | entailment |
(q&g) | (~((p|(~(c)>~((k&v)))))>c) | 0 | 0 | 0 | 0 | not entailment |
((v&((k&c)>g))&((v>(q|(p|(k&p))))&p)) | (~(~(k))>((v>v)&((c&g)|((q|k)>(g|q))))) | 0 | 0 | 1 | 0 | not entailment |
(~(d)&((q&(p|g))&((q&(c|k))>(q|d)))) | ((~(~(d))>(p&(c|d)))|(k&g)) | 1 | 1 | 1 | 0 | entailment |
(d&k) | ((((q|g)&d)|(k|k))>d) | 1 | 0 | 0 | 0 | entailment |
(~(d)&((q&(p|g))&((q&(c|k))>(q|d)))) | ((((q|g)&d)|(k|k))>d) | 0 | 1 | 1 | 0 | not entailment |
(d&k) | ((~(~(d))>(p&(c|d)))|(k&g)) | 0 | 0 | 0 | 0 | not entailment |
((d&~(c))&(v|k)) | (((d&d)|((d>(v|q))&q))|~(~(d))) | 1 | 0 | 0 | 0 | entailment |
~((~((~(v)&d))>p)) | (d>v) | 1 | 1 | 1 | 1 | entailment |
((d&~(c))&(v|k)) | (d>v) | 0 | 1 | 1 | 0 | not entailment |
~((~((~(v)&d))>p)) | (((d&d)|((d>(v|q))&q))|~(~(d))) | 0 | 0 | 0 | 0 | not entailment |
((q&g)&((d>g)&v)) | (((((d&d)&q)>c)>((k&c)|p))|g) | 1 | 0 | 0 | 0 | entailment |
(~(~((k&~(q))))&~(~((g|v)))) | ((((g&k)&((q>q)>k))|c)|(~(d)|~(g))) | 1 | 0 | 0 | 0 | entailment |
((q&g)&((d>g)&v)) | ((((g&k)&((q>q)>k))|c)|(~(d)|~(g))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((k&~(q))))&~(~((g|v)))) | (((((d&d)&q)>c)>((k&c)|p))|g) | 0 | 1 | 0 | 0 | not entailment |
(((~((k|c))>d)|k)>(c>v)) | ((c&g)>(v&(k>~(~(v))))) | 1 | 1 | 0 | 0 | entailment |
~((p>~(~(~(((v|p)>~((d>~(g))))))))) | (d&p) | 1 | 1 | 1 | 1 | entailment |
(((~((k|c))>d)|k)>(c>v)) | (d&p) | 0 | 1 | 0 | 0 | not entailment |
~((p>~(~(~(((v|p)>~((d>~(g))))))))) | ((c&g)>(v&(k>~(~(v))))) | 0 | 1 | 0 | 0 | not entailment |
(q&~((g|((q>(~(~(q))&k))|(~(p)|d))))) | ~(((~(((((d&d)>k)|~(p))|k))>(g|d))>g)) | 1 | 1 | 1 | 0 | entailment |
(v&~(~(q))) | (k|(q>v)) | 1 | 1 | 0 | 0 | entailment |
(q&~((g|((q>(~(~(q))&k))|(~(p)|d))))) | (k|(q>v)) | 0 | 1 | 0 | 0 | not entailment |
(v&~(~(q))) | ~(((~(((((d&d)>k)|~(p))|k))>(g|d))>g)) | 0 | 0 | 0 | 0 | not entailment |
((~(((c&q)&p))&(g&g))&~(d)) | (c|g) | 1 | 1 | 1 | 0 | entailment |
((c|(p&p))&~(v)) | (v>(c&v)) | 1 | 1 | 1 | 0 | entailment |
((~(((c&q)&p))&(g&g))&~(d)) | (v>(c&v)) | 0 | 1 | 0 | 0 | not entailment |
((c|(p&p))&~(v)) | (c|g) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~((d&v))))) | (((~(c)|~(d))|(c|p))&(d|((c|v)>(p>g)))) | 1 | 0 | 0 | 0 | entailment |
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