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 |
|---|---|---|---|---|---|---|
~(((t>t)>(o|~(~((((t|o)>q)&(o>t))))))) | (~(t)>t) | 1 | 1 | 1 | 1 | entailment |
~((o|((((q|o)|o)|t)&t))) | (~(t)>t) | 0 | 1 | 1 | 0 | not entailment |
~(((t>t)>(o|~(~((((t|o)>q)&(o>t))))))) | ((t>q)&(t>o)) | 0 | 1 | 1 | 0 | not entailment |
(~(((t&q)|o))&(~(~(~(~((q&o)))))>o)) | (o>(q|~(~((t&t))))) | 1 | 1 | 1 | 0 | entailment |
(~((t&o))&o) | ~((~((o|(o&~(q))))|(q&~(o)))) | 1 | 0 | 0 | 0 | entailment |
(~(((t&q)|o))&(~(~(~(~((q&o)))))>o)) | ~((~((o|(o&~(q))))|(q&~(o)))) | 0 | 1 | 1 | 1 | not entailment |
(~((t&o))&o) | (o>(q|~(~((t&t))))) | 0 | 0 | 0 | 0 | not entailment |
((q&o)&((o&t)>~(((q&~(~(t)))>t)))) | (q|(o|q)) | 1 | 1 | 1 | 1 | entailment |
~((o|~(~((t>~((t&((o|q)>(q>o))))))))) | (t&(~(o)|(q&(~(o)&t)))) | 1 | 1 | 1 | 0 | entailment |
((q&o)&((o&t)>~(((q&~(~(t)))>t)))) | (t&(~(o)|(q&(~(o)&t)))) | 0 | 1 | 1 | 1 | not entailment |
~((o|~(~((t>~((t&((o|q)>(q>o))))))))) | (q|(o|q)) | 0 | 1 | 1 | 0 | not entailment |
(t&q) | ((t|q)&((o>~(q))>(q>(q|o)))) | 1 | 0 | 0 | 0 | entailment |
(q>~(((~(o)|~((o|t)))|(q>(t&t))))) | (((~((q|q))|o)|(q>(t>o)))|(o&(t|(t&o)))) | 1 | 0 | 1 | 1 | entailment |
(t&q) | (((~((q|q))|o)|(q>(t>o)))|(o&(t|(t&o)))) | 0 | 0 | 0 | 0 | not entailment |
(q>~(((~(o)|~((o|t)))|(q>(t&t))))) | ((t|q)&((o>~(q))>(q>(q|o)))) | 0 | 1 | 1 | 1 | not entailment |
((t|(q>(q>o)))&t) | (o|t) | 1 | 1 | 1 | 1 | entailment |
(q&((t|q)|~(~(q)))) | ((t|(((o|o)&(o|o))>q))>(q|q)) | 1 | 0 | 0 | 0 | entailment |
((t|(q>(q>o)))&t) | ((t|(((o|o)&(o|o))>q))>(q|q)) | 0 | 0 | 1 | 0 | not entailment |
(q&((t|q)|~(~(q)))) | (o|t) | 0 | 1 | 0 | 0 | not entailment |
(q|((q>q)&(q|q))) | ~((q>((((q|q)>(q|q))|q)&~(((q&q)|q))))) | 1 | 0 | 1 | 1 | entailment |
(~(~(q))>(~((q&q))&q)) | ((q>(q|q))>~(q)) | 1 | 1 | 1 | 1 | entailment |
(q|((q>q)&(q|q))) | ((q>(q|q))>~(q)) | 0 | 1 | 1 | 1 | not entailment |
(~(~(q))>(~((q&q))&q)) | ~((q>((((q|q)>(q|q))|q)&~(((q&q)|q))))) | 0 | 0 | 1 | 1 | not entailment |
(((q|q)&(q|q))&(q|((q&q)>((q&q)>(q>q))))) | ~(~(~(~((q&q))))) | 1 | 1 | 1 | 1 | entailment |
~(((q>q)>((q&(q&(q>q)))|q))) | ~(q) | 1 | 1 | 1 | 1 | entailment |
(((q|q)&(q|q))&(q|((q&q)>((q&q)>(q>q))))) | ~(q) | 0 | 1 | 1 | 1 | not entailment |
~(((q>q)>((q&(q&(q>q)))|q))) | ~(~(~(~((q&q))))) | 0 | 1 | 1 | 1 | not entailment |
(q&q) | ((q>((q&(q&q))>q))&q) | 1 | 0 | 1 | 0 | entailment |
~(((~(~((q&q)))&((q>q)|q))|(q|q))) | (~(~(~(q)))&((q|(q>~((q&q))))|(q&q))) | 1 | 0 | 1 | 1 | entailment |
(q&q) | (~(~(~(q)))&((q|(q>~((q&q))))|(q&q))) | 0 | 0 | 1 | 0 | not entailment |
~(((~(~((q&q)))&((q>q)|q))|(q|q))) | ((q>((q&(q&q))>q))&q) | 0 | 1 | 1 | 1 | not entailment |
((u&((u|u)&u))&u) | (((u&(u|u))|u)&u) | 1 | 1 | 1 | 1 | entailment |
((u&u)>~((u|(u&(u&u))))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
((u&((u|u)&u))&u) | ~(u) | 0 | 1 | 1 | 0 | not entailment |
((u&u)>~((u|(u&(u&u))))) | (((u&(u|u))|u)&u) | 0 | 1 | 1 | 0 | not entailment |
((u|(u&u))&(u|u)) | (((u>u)&(u|~(~(~((u>(~(u)&u)))))))&u) | 1 | 0 | 1 | 0 | entailment |
~((((u&u)>u)&(((u|u)|u)|u))) | ((~(u)&(((u|u)|u)>u))&(u|(u>(u|u)))) | 1 | 0 | 1 | 1 | entailment |
((u|(u&u))&(u|u)) | ((~(u)&(((u|u)|u)>u))&(u|(u>(u|u)))) | 0 | 0 | 1 | 0 | not entailment |
~((((u&u)>u)&(((u|u)|u)|u))) | (((u>u)&(u|~(~(~((u>(~(u)&u)))))))&u) | 0 | 0 | 1 | 1 | not entailment |
((~(u)|~(((~((u>u))>u)>~((u>u)))))&u) | ((u|((u|u)&u))|u) | 1 | 1 | 1 | 1 | entailment |
(u>~(((u>(u&u))>((u&u)|u)))) | (~(u)&(u>((u|(u|u))&u))) | 1 | 1 | 1 | 1 | entailment |
((~(u)|~(((~((u>u))>u)>~((u>u)))))&u) | (~(u)&(u>((u|(u|u))&u))) | 0 | 1 | 1 | 1 | not entailment |
(u>~(((u>(u&u))>((u&u)|u)))) | ((u|((u|u)&u))|u) | 0 | 1 | 1 | 1 | not entailment |
(u&(u|u)) | ((u|u)&((u|~(u))&u)) | 1 | 0 | 1 | 0 | entailment |
~(~(((~(u)>(u>u))&~(~(~((u|u))))))) | (((u>u)>(u>~((u&u))))|(u&~((u|(u|u))))) | 1 | 1 | 1 | 1 | entailment |
(u&(u|u)) | (((u>u)>(u>~((u&u))))|(u&~((u|(u|u))))) | 0 | 0 | 1 | 0 | not entailment |
~(~(((~(u)>(u>u))&~(~(~((u|u))))))) | ((u|u)&((u|~(u))&u)) | 0 | 1 | 1 | 1 | not entailment |
(~(u)&((u|u)>(u&u))) | ~((~((u>u))|u)) | 1 | 1 | 1 | 1 | entailment |
((((u>u)&u)|u)&~(~((u|u)))) | (u|u) | 1 | 1 | 1 | 1 | entailment |
(~(u)&((u|u)>(u&u))) | (u|u) | 0 | 1 | 1 | 1 | not entailment |
((((u>u)&u)|u)&~(~((u|u)))) | ~((~((u>u))|u)) | 0 | 1 | 1 | 1 | not entailment |
~(((((u>(u>u))>u)|((u&u)&((u|u)|u)))|u)) | ~(u) | 1 | 1 | 1 | 1 | entailment |
~(~((u&(~((((u>u)&(u|u))>u))>(u&u))))) | ((u|u)|((u>u)>((u|u)|~(~(u))))) | 1 | 1 | 1 | 1 | entailment |
~(((((u>(u>u))>u)|((u&u)&((u|u)|u)))|u)) | ((u|u)|((u>u)>((u|u)|~(~(u))))) | 0 | 1 | 1 | 1 | not entailment |
~(~((u&(~((((u>u)&(u|u))>u))>(u&u))))) | ~(u) | 0 | 1 | 1 | 1 | not entailment |
~((u&(u|~(u)))) | (u>~((u|(u>~(u))))) | 1 | 0 | 1 | 1 | entailment |
~((~(~((u&(u>u))))>~(u))) | (u|u) | 1 | 1 | 1 | 1 | entailment |
~((u&(u|~(u)))) | (u|u) | 0 | 1 | 1 | 1 | not entailment |
~((~(~((u&(u>u))))>~(u))) | (u>~((u|(u>~(u))))) | 0 | 1 | 1 | 1 | not entailment |
((~(((u&w)|w))|~((h>((m>m)|w))))>u) | ((~(d)|h)|((w>u)>u)) | 1 | 1 | 0 | 0 | entailment |
~((w|(m&t))) | (((w>m)&u)>~(~(((m&h)>~(w))))) | 1 | 0 | 0 | 0 | entailment |
((~(((u&w)|w))|~((h>((m>m)|w))))>u) | (((w>m)&u)>~(~(((m&h)>~(w))))) | 0 | 1 | 1 | 0 | not entailment |
~((w|(m&t))) | ((~(d)|h)|((w>u)>u)) | 0 | 0 | 0 | 0 | not entailment |
(((~(m)>d)>~(u))&(t&w)) | ((w&w)|(((h&u)&h)|d)) | 1 | 1 | 0 | 0 | entailment |
(u&m) | (u|h) | 1 | 1 | 0 | 0 | entailment |
(((~(m)>d)>~(u))&(t&w)) | (u|h) | 0 | 1 | 0 | 0 | not entailment |
(u&m) | ((w&w)|(((h&u)&h)|d)) | 0 | 0 | 0 | 0 | not entailment |
(d|(h&m)) | ~(~((~(((h|m)|((w>d)|u)))>t))) | 1 | 0 | 0 | 0 | entailment |
((w|(t|h))>~((t&(t|d)))) | ((((u&t)|h)&~(h))>(w&u)) | 1 | 1 | 0 | 0 | entailment |
(d|(h&m)) | ((((u&t)|h)&~(h))>(w&u)) | 0 | 0 | 0 | 0 | not entailment |
((w|(t|h))>~((t&(t|d)))) | ~(~((~(((h|m)|((w>d)|u)))>t))) | 0 | 0 | 0 | 0 | not entailment |
(~(t)&u) | (~(w)|(u|~(m))) | 1 | 0 | 0 | 0 | entailment |
~((((t&((h>~(~(d)))>d))>(u&t))|(h|h))) | (((~(m)|(t>t))&~(~(d)))|(m>(m>t))) | 1 | 1 | 0 | 0 | entailment |
(~(t)&u) | (((~(m)|(t>t))&~(~(d)))|(m>(m>t))) | 0 | 0 | 0 | 0 | not entailment |
~((((t&((h>~(~(d)))>d))>(u&t))|(h|h))) | (~(w)|(u|~(m))) | 0 | 1 | 0 | 0 | not entailment |
~((~(((h&d)&t))|(u&d))) | ~(~(~(~((~((~(d)>u))>u))))) | 1 | 0 | 1 | 0 | entailment |
(h&(((t>(u>t))|~((t&w)))>(m&m))) | ((w>((m&d)&m))|((~(t)>(t>u))&(m|m))) | 1 | 0 | 0 | 0 | entailment |
~((~(((h&d)&t))|(u&d))) | ((w>((m&d)&m))|((~(t)>(t>u))&(m|m))) | 0 | 0 | 0 | 0 | not entailment |
(h&(((t>(u>t))|~((t&w)))>(m&m))) | ~(~(~(~((~((~(d)>u))>u))))) | 0 | 1 | 0 | 0 | not entailment |
((h&d)&(h>(m&d))) | (m|(d&w)) | 1 | 1 | 0 | 0 | entailment |
(~(t)&(((m&d)>w)>~((u>h)))) | ~(((d&m)&t)) | 1 | 1 | 1 | 0 | entailment |
((h&d)&(h>(m&d))) | ~(((d&m)&t)) | 0 | 1 | 0 | 0 | not entailment |
(~(t)&(((m&d)>w)>~((u>h)))) | (m|(d&w)) | 0 | 1 | 1 | 0 | not entailment |
~((h>u)) | (u>(t&(d|~(m)))) | 1 | 0 | 0 | 0 | entailment |
(t&(~(m)|m)) | (~(~((m|((u|u)|m))))>t) | 1 | 0 | 0 | 0 | entailment |
~((h>u)) | (~(~((m|((u|u)|m))))>t) | 0 | 0 | 0 | 0 | not entailment |
(t&(~(m)|m)) | (u>(t&(d|~(m)))) | 0 | 0 | 0 | 0 | not entailment |
((h&m)&(~(~(((d|u)>(h&u))))&~(~(d)))) | ((~(w)>t)>h) | 1 | 1 | 0 | 0 | entailment |
(h>~(~(~(((~(w)>(t|~(h)))>h))))) | ((h&(h&(t>u)))>w) | 1 | 1 | 0 | 0 | entailment |
((h&m)&(~(~(((d|u)>(h&u))))&~(~(d)))) | ((h&(h&(t>u)))>w) | 0 | 1 | 0 | 0 | not entailment |
(h>~(~(~(((~(w)>(t|~(h)))>h))))) | ((~(w)>t)>h) | 0 | 1 | 1 | 0 | not entailment |
~(((t>w)>((u&h)|w))) | (((m&d)&(d|d))>(h|(t>w))) | 1 | 0 | 0 | 0 | entailment |
(~(~((w|t)))&((t>(t&t))>(~(w)&d))) | (d&(w>~(u))) | 1 | 1 | 0 | 0 | entailment |
~(((t>w)>((u&h)|w))) | (d&(w>~(u))) | 0 | 1 | 0 | 0 | not entailment |
(~(~((w|t)))&((t>(t&t))>(~(w)&d))) | (((m&d)&(d|d))>(h|(t>w))) | 0 | 1 | 0 | 0 | not entailment |
~((((t|w)|h)&(~((((u>w)|u)&u))|m))) | (~(t)|~(~((d|((u&w)>(m>d)))))) | 1 | 1 | 0 | 0 | entailment |
((m&u)&u) | (u|m) | 1 | 1 | 1 | 1 | entailment |
~((((t|w)|h)&(~((((u>w)|u)&u))|m))) | (u|m) | 0 | 1 | 1 | 0 | not entailment |
((m&u)&u) | (~(t)|~(~((d|((u&w)>(m>d)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((m|w))|~((w>~(w)))) | ((~((w|(m>h)))&t)>(u>~(t))) | 1 | 0 | 0 | 0 | entailment |
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