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 |
|---|---|---|---|---|---|---|
~(((a>a)&(~(t)|(q|d)))) | (((t&d)&a)>~((q|l))) | 1 | 1 | 0 | 0 | entailment |
(((~(q)&b)&(l&b))&(r|q)) | (((t&d)&a)>~((q|l))) | 0 | 1 | 0 | 0 | not entailment |
~(((a>a)&(~(t)|(q|d)))) | ((d|l)|q) | 0 | 1 | 0 | 0 | not entailment |
(q&((l&(a|d))&a)) | ((l>((a>r)>a))|(l>(l>~(r)))) | 1 | 0 | 0 | 0 | entailment |
~(((t|t)|(t&a))) | ((t&b)>((d&u)&l)) | 1 | 1 | 0 | 0 | entailment |
(q&((l&(a|d))&a)) | ((t&b)>((d&u)&l)) | 0 | 1 | 0 | 0 | not entailment |
~(((t|t)|(t&a))) | ((l>((a>r)>a))|(l>(l>~(r)))) | 0 | 0 | 0 | 0 | not entailment |
((t|b)&(((~(d)&a)|b)&((q|t)&(d&d)))) | ((~((a>q))>((a&l)&((d>b)>u)))|t) | 1 | 1 | 0 | 0 | entailment |
(b&(u&~((((r|l)&((t>l)&r))>l)))) | ~(~(r)) | 1 | 1 | 1 | 1 | entailment |
((t|b)&(((~(d)&a)|b)&((q|t)&(d&d)))) | ~(~(r)) | 0 | 1 | 0 | 0 | not entailment |
(b&(u&~((((r|l)&((t>l)&r))>l)))) | ((~((a>q))>((a&l)&((d>b)>u)))|t) | 0 | 1 | 0 | 0 | not entailment |
((q&r)&(b|~((b>((q|l)>t))))) | (((r|d)|b)|(l>((a|~((b|a)))>a))) | 1 | 0 | 0 | 0 | entailment |
(((l&a)|((a&t)>((r>b)&(l>l))))&l) | (l|~((((b>(d>l))|d)|~((((q>a)|a)|r))))) | 1 | 0 | 0 | 0 | entailment |
((q&r)&(b|~((b>((q|l)>t))))) | (l|~((((b>(d>l))|d)|~((((q>a)|a)|r))))) | 0 | 0 | 0 | 0 | not entailment |
(((l&a)|((a&t)>((r>b)&(l>l))))&l) | (((r|d)|b)|(l>((a|~((b|a)))>a))) | 0 | 1 | 0 | 0 | not entailment |
(r&(t&(t|(l|d)))) | (t|q) | 1 | 1 | 0 | 0 | entailment |
~((q|(r&((u&d)>t)))) | (r>(((u>~(r))|(q|t))>(u&a))) | 1 | 0 | 0 | 0 | entailment |
(r&(t&(t|(l|d)))) | (r>(((u>~(r))|(q|t))>(u&a))) | 0 | 0 | 0 | 0 | not entailment |
~((q|(r&((u&d)>t)))) | (t|q) | 0 | 1 | 1 | 0 | not entailment |
~(((((m&q)|~(q))&v)|(m>~(h)))) | (((f>k)&f)>~(v)) | 1 | 1 | 0 | 0 | entailment |
((~(q)&(h>v))&k) | (m>k) | 1 | 1 | 0 | 0 | entailment |
~(((((m&q)|~(q))&v)|(m>~(h)))) | (m>k) | 0 | 1 | 0 | 0 | not entailment |
((~(q)&(h>v))&k) | (((f>k)&f)>~(v)) | 0 | 1 | 0 | 0 | not entailment |
((~(q)|(q&k))>((v>q)&m)) | (k>(m|v)) | 1 | 1 | 1 | 0 | entailment |
(~((h|~((f|~((v|f))))))&k) | (h>((~(f)|h)&~(q))) | 1 | 1 | 0 | 0 | entailment |
((~(q)|(q&k))>((v>q)&m)) | (h>((~(f)|h)&~(q))) | 0 | 1 | 0 | 0 | not entailment |
(~((h|~((f|~((v|f))))))&k) | (k>(m|v)) | 0 | 1 | 0 | 0 | not entailment |
(~(h)&(q>m)) | (~(h)|((~((m>q))&(k|~(f)))&h)) | 1 | 0 | 0 | 0 | entailment |
~(~(k)) | ((m>((q>k)&(~(h)&(~(m)|m))))|((f|v)>h)) | 1 | 0 | 0 | 0 | entailment |
(~(h)&(q>m)) | ((m>((q>k)&(~(h)&(~(m)|m))))|((f|v)>h)) | 0 | 0 | 0 | 0 | not entailment |
~(~(k)) | (~(h)|((~((m>q))&(k|~(f)))&h)) | 0 | 0 | 0 | 0 | not entailment |
(((k|((v&k)>((h|(v&v))|(f>v))))&f)&~(h)) | (k|(q|(v>f))) | 1 | 1 | 0 | 0 | entailment |
(((v&v)>(m|(~((k>(q>m)))>v)))>v) | ((((~((f|k))&m)>h)&v)|m) | 1 | 1 | 0 | 0 | entailment |
(((k|((v&k)>((h|(v&v))|(f>v))))&f)&~(h)) | ((((~((f|k))&m)>h)&v)|m) | 0 | 1 | 0 | 0 | not entailment |
(((v&v)>(m|(~((k>(q>m)))>v)))>v) | (k|(q|(v>f))) | 0 | 1 | 0 | 0 | not entailment |
(~(~((~(h)>(h&(q&(m&m))))))&(k|q)) | ((v>(f&(h&(f|h))))>(((~(k)>h)|k)&(k>k))) | 1 | 0 | 0 | 0 | entailment |
(((((v|v)>q)|v)&q)&(v>f)) | ((((f|m)>v)>~(~((((f&m)>k)>v))))|q) | 1 | 0 | 0 | 0 | entailment |
(~(~((~(h)>(h&(q&(m&m))))))&(k|q)) | ((((f|m)>v)>~(~((((f&m)>k)>v))))|q) | 0 | 1 | 0 | 0 | not entailment |
(((((v|v)>q)|v)&q)&(v>f)) | ((v>(f&(h&(f|h))))>(((~(k)>h)|k)&(k>k))) | 0 | 0 | 0 | 0 | not entailment |
~((m>~(((h&(q&v))&v)))) | ((f>v)>q) | 1 | 1 | 0 | 0 | entailment |
~(((m|f)|(v|h))) | ((v>~(h))|(f&~(~(f)))) | 1 | 0 | 1 | 0 | entailment |
~((m>~(((h&(q&v))&v)))) | ((v>~(h))|(f&~(~(f)))) | 0 | 1 | 0 | 0 | not entailment |
~(((m|f)|(v|h))) | ((f>v)>q) | 0 | 1 | 0 | 0 | not entailment |
~(~(((((v&m)&k)&q)&(((q&(v&q))&f)|k)))) | (~((h&h))>((m>q)|h)) | 1 | 1 | 0 | 0 | entailment |
((q>q)>(~(k)&f)) | (~(f)|~((k&k))) | 1 | 1 | 1 | 0 | entailment |
~(~(((((v&m)&k)&q)&(((q&(v&q))&f)|k)))) | (~(f)|~((k&k))) | 0 | 1 | 1 | 0 | not entailment |
((q>q)>(~(k)&f)) | (~((h&h))>((m>q)|h)) | 0 | 0 | 0 | 0 | not entailment |
(m|(f&k)) | (((q>h)>q)>(m|f)) | 1 | 0 | 0 | 0 | entailment |
(v&(((v&v)&((f>(m|q))&(h|m)))|v)) | ((k&v)|(((q|q)|v)|(f|h))) | 1 | 1 | 0 | 0 | entailment |
(m|(f&k)) | ((k&v)|(((q|q)|v)|(f|h))) | 0 | 0 | 0 | 0 | not entailment |
(v&(((v&v)&((f>(m|q))&(h|m)))|v)) | (((q>h)>q)>(m|f)) | 0 | 1 | 1 | 0 | not entailment |
((~((m>q))&(v&(v>m)))&(v&(h|((v|h)&v)))) | (((h|f)&m)|~(f)) | 1 | 1 | 0 | 0 | entailment |
(k|(~(~(((q|v)>h)))&((v&m)>h))) | (((k|h)|h)|~((v&v))) | 1 | 1 | 1 | 1 | entailment |
((~((m>q))&(v&(v>m)))&(v&(h|((v|h)&v)))) | (((k|h)|h)|~((v&v))) | 0 | 1 | 0 | 0 | not entailment |
(k|(~(~(((q|v)>h)))&((v&m)>h))) | (((h|f)&m)|~(f)) | 0 | 1 | 0 | 0 | not entailment |
(((((f&k)>f)>h)&m)&(k>m)) | (((f|m)>((q|(m|k))|((v>~(v))&m)))|(q|q)) | 1 | 0 | 0 | 0 | entailment |
((k>~(((f>v)&(f|m))))&(f&v)) | ((k&((m|q)>(f|f)))|(~((q&m))>(k>v))) | 1 | 0 | 0 | 0 | entailment |
(((((f&k)>f)>h)&m)&(k>m)) | ((k&((m|q)>(f|f)))|(~((q&m))>(k>v))) | 0 | 0 | 0 | 0 | not entailment |
((k>~(((f>v)&(f|m))))&(f&v)) | (((f|m)>((q|(m|k))|((v>~(v))&m)))|(q|q)) | 0 | 0 | 0 | 0 | not entailment |
(((m&f)|f)&q) | (~(~(((q>k)|(h>v))))|(q&(f&q))) | 1 | 0 | 0 | 0 | entailment |
~(v) | ~(v) | 1 | 1 | 1 | 1 | entailment |
(((m&f)|f)&q) | ~(v) | 0 | 1 | 0 | 0 | not entailment |
~(v) | (~(~(((q>k)|(h>v))))|(q&(f&q))) | 0 | 0 | 0 | 0 | not entailment |
(q&((k>m)>f)) | (q|(((h>k)>(~((f&(k|m)))&(k&q)))>v)) | 1 | 0 | 0 | 0 | entailment |
(~((q|(f|m)))&(k>f)) | ((f|k)>((~((k|((v|k)&v)))|h)&~((f>q)))) | 1 | 0 | 0 | 0 | entailment |
(q&((k>m)>f)) | ((f|k)>((~((k|((v|k)&v)))|h)&~((f>q)))) | 0 | 0 | 0 | 0 | not entailment |
(~((q|(f|m)))&(k>f)) | (q|(((h>k)>(~((f&(k|m)))&(k&q)))>v)) | 0 | 0 | 0 | 0 | not entailment |
((h>(f|v))&k) | ((v>q)>(h|k)) | 1 | 1 | 0 | 0 | entailment |
(f|(h&q)) | ~(~(((f|q)|~(m)))) | 1 | 0 | 0 | 0 | entailment |
((h>(f|v))&k) | ~(~(((f|q)|~(m)))) | 0 | 0 | 0 | 0 | not entailment |
(f|(h&q)) | ((v>q)>(h|k)) | 0 | 0 | 0 | 0 | not entailment |
(q&(q>(~((q|t))|(o|q)))) | ((q&q)|t) | 1 | 1 | 1 | 0 | entailment |
~(((o>~(q))>(~(t)&~(o)))) | (~((o|(~(~(t))|t)))>((t|t)&q)) | 1 | 0 | 1 | 0 | entailment |
(q&(q>(~((q|t))|(o|q)))) | (~((o|(~(~(t))|t)))>((t|t)&q)) | 0 | 0 | 1 | 0 | not entailment |
~(((o>~(q))>(~(t)&~(o)))) | ((q&q)|t) | 0 | 1 | 1 | 0 | not entailment |
(((o&o)|q)&t) | (q|t) | 1 | 1 | 1 | 1 | entailment |
~(((o&q)|((t|q)|t))) | ((~(o)|(~((t&(o>o)))|(q&q)))|q) | 1 | 0 | 1 | 0 | entailment |
(((o&o)|q)&t) | ((~(o)|(~((t&(o>o)))|(q&q)))|q) | 0 | 0 | 1 | 0 | not entailment |
~(((o&q)|((t|q)|t))) | (q|t) | 0 | 1 | 1 | 0 | not entailment |
((t|q)&(o&(t&(q>o)))) | (((o&o)|q)|~((t>q))) | 1 | 1 | 1 | 1 | entailment |
~(((t|q)&(o|t))) | (((o&q)>((t|o)>~(q)))&(q|(((t|q)|o)>o))) | 1 | 0 | 1 | 0 | entailment |
((t|q)&(o&(t&(q>o)))) | (((o&q)>((t|o)>~(q)))&(q|(((t|q)|o)>o))) | 0 | 0 | 1 | 0 | not entailment |
~(((t|q)&(o|t))) | (((o&o)|q)|~((t>q))) | 0 | 0 | 1 | 0 | not entailment |
(o&(~(~(~(q)))|~((t>q)))) | ((t&(t&t))>~(((o&q)&(((q|o)&q)>q)))) | 1 | 0 | 1 | 0 | entailment |
(((o>t)&o)&t) | (((t>q)>t)&((q>o)>~(~((o>(t>t)))))) | 1 | 0 | 0 | 0 | entailment |
(o&(~(~(~(q)))|~((t>q)))) | (((t>q)>t)&((q>o)>~(~((o>(t>t)))))) | 0 | 0 | 1 | 0 | not entailment |
(((o>t)&o)&t) | ((t&(t&t))>~(((o&q)&(((q|o)&q)>q)))) | 0 | 0 | 0 | 0 | not entailment |
(~((o&(t|(~(q)&(q&o)))))&(t&~((o&t)))) | (o|t) | 1 | 1 | 1 | 0 | entailment |
~(((t|t)|~((q|t)))) | (q|~(~(~(~(~((o|(((q|o)>t)|t)))))))) | 1 | 0 | 0 | 0 | entailment |
(~((o&(t|(~(q)&(q&o)))))&(t&~((o&t)))) | (q|~(~(~(~(~((o|(((q|o)>t)|t)))))))) | 0 | 1 | 1 | 0 | not entailment |
~(((t|t)|~((q|t)))) | (o|t) | 0 | 1 | 0 | 0 | not entailment |
~(~((q&o))) | (((q>((q>q)&o))&o)&(((t>q)|o)|((t|q)&o))) | 1 | 0 | 0 | 0 | entailment |
~(~(((q&(t|t))&q))) | ((o>o)>(~(o)|((o|o)>(t&o)))) | 1 | 0 | 0 | 0 | entailment |
~(~((q&o))) | ((o>o)>(~(o)|((o|o)>(t&o)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((q&(t|t))&q))) | (((q>((q>q)&o))&o)&(((t>q)|o)|((t|q)&o))) | 0 | 0 | 0 | 0 | not entailment |
~(((t&((o|(o|t))>o))>~(~(q)))) | (~(((q|q)&o))>(o|o)) | 1 | 1 | 1 | 0 | entailment |
((q&o)|(t&((q&(q>q))&q))) | ((((o&t)>t)|(q>q))>q) | 1 | 1 | 1 | 0 | entailment |
~(((t&((o|(o|t))>o))>~(~(q)))) | ((((o&t)>t)|(q>q))>q) | 0 | 1 | 1 | 0 | not entailment |
((q&o)|(t&((q&(q>q))&q))) | (~(((q|q)&o))>(o|o)) | 0 | 1 | 1 | 1 | not entailment |
~((o|((((q|o)|o)|t)&t))) | ((t>q)&(t>o)) | 1 | 1 | 1 | 0 | entailment |
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