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&(~(r)>t))&~(((s|k)|(t&s)))))) | (((~(r)|s)&(s|j))>j) | 1 | 1 | 0 | 0 | entailment |
~(((((r|t)>(j|j))>((s&k)>r))>t)) | ((r&t)>(s&(~(j)|~(~(k))))) | 1 | 1 | 1 | 0 | entailment |
~(~(((r&(~(r)>t))&~(((s|k)|(t&s)))))) | ((r&t)>(s&(~(j)|~(~(k))))) | 0 | 1 | 0 | 0 | not entailment |
~(((((r|t)>(j|j))>((s&k)>r))>t)) | (((~(r)|s)&(s|j))>j) | 0 | 1 | 1 | 0 | not entailment |
~((~(~(t))&((s>k)|t))) | ((r|~(t))|~(~(((~(t)>k)>(s>(j|r)))))) | 1 | 0 | 0 | 0 | entailment |
~((~(s)&((r>j)>r))) | (r>s) | 1 | 1 | 1 | 1 | entailment |
~((~(~(t))&((s>k)|t))) | (r>s) | 0 | 1 | 0 | 0 | not entailment |
~((~(s)&((r>j)>r))) | ((r|~(t))|~(~(((~(t)>k)>(s>(j|r)))))) | 0 | 0 | 0 | 0 | not entailment |
((s|s)|k) | (s|~(~((k|s)))) | 1 | 0 | 1 | 1 | entailment |
~(((~((k&r))>~(r))|~((((s|t)&r)>j)))) | ((~(t)&~((r&t)))|j) | 1 | 1 | 1 | 1 | entailment |
((s|s)|k) | ((~(t)&~((r&t)))|j) | 0 | 0 | 0 | 0 | not entailment |
~(((~((k&r))>~(r))|~((((s|t)&r)>j)))) | (s|~(~((k|s)))) | 0 | 1 | 1 | 0 | not entailment |
(d&~(r)) | ~(~((d&((d&r)>r)))) | 1 | 0 | 1 | 0 | entailment |
(r&r) | ((r&(r|d))&(r>r)) | 1 | 0 | 0 | 0 | entailment |
(d&~(r)) | ((r&(r|d))&(r>r)) | 0 | 0 | 1 | 0 | not entailment |
(r&r) | ~(~((d&((d&r)>r)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((d>d)|d))|d) | (((d|d)>d)&(d&d)) | 1 | 1 | 1 | 1 | entailment |
((d&r)|~(~((r|r)))) | (((d>d)>r)&((d&~(r))>d)) | 1 | 0 | 1 | 0 | entailment |
(~(((d>d)|d))|d) | (((d>d)>r)&((d&~(r))>d)) | 0 | 0 | 0 | 0 | not entailment |
((d&r)|~(~((r|r)))) | (((d|d)>d)&(d&d)) | 0 | 1 | 1 | 0 | not entailment |
(~((~(r)|~(r)))&r) | ((r|d)|~((r>((r>r)|r)))) | 1 | 0 | 0 | 0 | entailment |
(r>(((d>r)>(((d&r)&(r>d))&(r>r)))&(d&d))) | ((~(~((r|r)))|((d|d)|r))>d) | 1 | 1 | 1 | 0 | entailment |
(~((~(r)|~(r)))&r) | ((~(~((r|r)))|((d|d)|r))>d) | 0 | 0 | 0 | 0 | not entailment |
(r>(((d>r)>(((d&r)&(r>d))&(r>r)))&(d&d))) | ((r|d)|~((r>((r>r)|r)))) | 0 | 1 | 1 | 1 | not entailment |
((~((~(r)&r))>(d>r))>(d|d)) | (((d|(d|r))>~(d))>d) | 1 | 1 | 1 | 1 | entailment |
~(((r|r)|(~(d)>(r|r)))) | ((((d>d)&d)|d)>r) | 1 | 1 | 1 | 0 | entailment |
((~((~(r)&r))>(d>r))>(d|d)) | ((((d>d)&d)|d)>r) | 0 | 1 | 1 | 0 | not entailment |
~(((r|r)|(~(d)>(r|r)))) | (((d|(d|r))>~(d))>d) | 0 | 1 | 1 | 0 | not entailment |
(r&(d>r)) | ((r>r)>(~(r)>(~(~(~((r>r))))|d))) | 1 | 0 | 1 | 0 | entailment |
~(d) | ((d&((r|(r>d))|d))>(((r>d)&d)>~(r))) | 1 | 0 | 0 | 0 | entailment |
(r&(d>r)) | ((d&((r|(r>d))|d))>(((r>d)&d)>~(r))) | 0 | 0 | 1 | 0 | not entailment |
~(d) | ((r>r)>(~(r)>(~(~(~((r>r))))|d))) | 0 | 0 | 0 | 0 | not entailment |
(d&~(~(((d>d)>r)))) | (d>((d&r)&d)) | 1 | 1 | 1 | 1 | entailment |
~((((d|r)&d)>(~((r&d))>(r&~(r))))) | ~(r) | 1 | 1 | 1 | 1 | entailment |
(d&~(~(((d>d)>r)))) | ~(r) | 0 | 1 | 1 | 0 | not entailment |
~((((d|r)&d)>(~((r&d))>(r&~(r))))) | (d>((d&r)&d)) | 0 | 1 | 1 | 1 | not entailment |
((~(r)&~(r))>(d&r)) | ((r|d)|r) | 1 | 1 | 1 | 1 | entailment |
(~(d)|~(((~(d)|d)|r))) | (~((d&((d&r)|r)))&(r>r)) | 1 | 1 | 1 | 0 | entailment |
((~(r)&~(r))>(d&r)) | (~((d&((d&r)|r)))&(r>r)) | 0 | 0 | 1 | 0 | not entailment |
(~(d)|~(((~(d)|d)|r))) | ((r|d)|r) | 0 | 1 | 1 | 0 | not entailment |
(~((~((d|(r>d)))|r))&d) | (r>((r>((r>d)>(d|r)))>~((r|d)))) | 1 | 0 | 1 | 0 | entailment |
(r|r) | ((((r|r)&r)>~((r>((d>(r|r))&~(r)))))>r) | 1 | 0 | 0 | 0 | entailment |
(~((~((d|(r>d)))|r))&d) | ((((r|r)&r)>~((r>((d>(r|r))&~(r)))))>r) | 0 | 0 | 1 | 0 | not entailment |
(r|r) | (r>((r>((r>d)>(d|r)))>~((r|d)))) | 0 | 0 | 0 | 0 | not entailment |
(d&(r>d)) | (~(((d|d)|~((r>~(r)))))|(d|d)) | 1 | 0 | 1 | 0 | entailment |
((d|r)>(r>~(d))) | (~(((r|d)>~(r)))>(d>~((~(d)>r)))) | 1 | 0 | 1 | 1 | entailment |
(d&(r>d)) | (~(((r|d)>~(r)))>(d>~((~(d)>r)))) | 0 | 0 | 1 | 0 | not entailment |
((d|r)>(r>~(d))) | (~(((d|d)|~((r>~(r)))))|(d|d)) | 0 | 0 | 1 | 0 | not entailment |
~((d>(r&r))) | ((r|~(d))>(r&d)) | 1 | 0 | 1 | 0 | entailment |
(d>(d>r)) | (~((d>(d>r)))>~((r>d))) | 1 | 0 | 1 | 1 | entailment |
~((d>(r&r))) | (~((d>(d>r)))>~((r>d))) | 0 | 0 | 1 | 0 | not entailment |
(d>(d>r)) | ((r|~(d))>(r&d)) | 0 | 0 | 1 | 0 | not entailment |
~((~(d)>((d>d)&r))) | ~((d&r)) | 1 | 1 | 1 | 1 | entailment |
((d|r)&(((r|d)>r)>(r&r))) | (r|d) | 1 | 1 | 1 | 1 | entailment |
~((~(d)>((d>d)&r))) | (r|d) | 0 | 1 | 1 | 0 | not entailment |
((d|r)&(((r|d)>r)>(r&r))) | ~((d&r)) | 0 | 1 | 1 | 0 | not entailment |
((t|p)&(t|(((t&p)&p)&(~(t)&p)))) | ((t|t)|(p&~((t>p)))) | 1 | 1 | 1 | 0 | entailment |
(~(~((((p|t)&p)>(p>p))))&p) | ((((t>~(t))>t)&(~(t)>t))>p) | 1 | 1 | 1 | 1 | entailment |
((t|p)&(t|(((t&p)&p)&(~(t)&p)))) | ((((t>~(t))>t)&(~(t)>t))>p) | 0 | 1 | 1 | 1 | not entailment |
(~(~((((p|t)&p)>(p>p))))&p) | ((t|t)|(p&~((t>p)))) | 0 | 1 | 1 | 0 | not entailment |
~((~(p)&t)) | ~((t&~(((t>p)&(p|t))))) | 1 | 0 | 1 | 0 | entailment |
((p|(t&t))&~(p)) | ~(~(t)) | 1 | 1 | 1 | 1 | entailment |
~((~(p)&t)) | ~(~(t)) | 0 | 1 | 1 | 0 | not entailment |
((p|(t&t))&~(p)) | ~((t&~(((t>p)&(p|t))))) | 0 | 0 | 1 | 0 | not entailment |
((p&((p>(t>(t>t)))|p))&(t>(t&(t&p)))) | ((((t&t)&t)&(((p>p)|p)&t))|((p>p)&p)) | 1 | 1 | 1 | 1 | entailment |
~(((~((t&p))|t)&((~(p)&t)|(p|t)))) | (~((p|p))|~(((t>t)>((p|(p&t))>(t&p))))) | 1 | 0 | 1 | 1 | entailment |
((p&((p>(t>(t>t)))|p))&(t>(t&(t&p)))) | (~((p|p))|~(((t>t)>((p|(p&t))>(t&p))))) | 0 | 0 | 1 | 1 | not entailment |
~(((~((t&p))|t)&((~(p)&t)|(p|t)))) | ((((t&t)&t)&(((p>p)|p)&t))|((p>p)&p)) | 0 | 1 | 1 | 1 | not entailment |
((p&t)&t) | ((p&t)|(p|t)) | 1 | 0 | 1 | 1 | entailment |
~((~((p|t))>(((t>p)>(~(t)>t))&p))) | ~((p|(p&(t>p)))) | 1 | 1 | 1 | 0 | entailment |
((p&t)&t) | ~((p|(p&(t>p)))) | 0 | 0 | 1 | 0 | not entailment |
~((~((p|t))>(((t>p)>(~(t)>t))&p))) | ((p&t)|(p|t)) | 0 | 1 | 1 | 0 | not entailment |
(t|t) | ((~((p&p))|(t&p))>(t&t)) | 1 | 0 | 0 | 0 | entailment |
~((p&(t|(((p&t)>t)|p)))) | ((p>t)>~(p)) | 1 | 1 | 1 | 1 | entailment |
(t|t) | ((p>t)>~(p)) | 0 | 0 | 0 | 0 | not entailment |
~((p&(t|(((p&t)>t)|p)))) | ((~((p&p))|(t&p))>(t&t)) | 0 | 1 | 1 | 1 | not entailment |
(((t&p)>p)>(((t&p)>(t&t))&p)) | ((t|p)>((t|t)>(p&p))) | 1 | 1 | 1 | 1 | entailment |
((~((p>t))>t)&t) | ((t|(((p&p)|t)|t))&(p>(p>t))) | 1 | 0 | 1 | 0 | entailment |
(((t&p)>p)>(((t&p)>(t&t))&p)) | ((t|(((p&p)|t)|t))&(p>(p>t))) | 0 | 1 | 1 | 1 | not entailment |
((~((p>t))>t)&t) | ((t|p)>((t|t)>(p&p))) | 0 | 0 | 1 | 0 | not entailment |
((p&t)&(p>((p&t)&(((p|t)>t)|p)))) | (p>((~(t)&t)|t)) | 1 | 1 | 1 | 1 | entailment |
~((~((t>~((p|~(t)))))&t)) | ~((p&(p>t))) | 1 | 1 | 1 | 0 | entailment |
((p&t)&(p>((p&t)&(((p|t)>t)|p)))) | ~((p&(p>t))) | 0 | 1 | 1 | 1 | not entailment |
~((~((t>~((p|~(t)))))&t)) | (p>((~(t)&t)|t)) | 0 | 1 | 1 | 1 | not entailment |
(t&(~((((t>p)>t)&p))|~(p))) | (t|(p|t)) | 1 | 1 | 1 | 1 | entailment |
((p>p)&~(((t|t)&(t|((~(t)&t)>t))))) | ~(t) | 1 | 1 | 1 | 1 | entailment |
(t&(~((((t>p)>t)&p))|~(p))) | ~(t) | 0 | 1 | 1 | 1 | not entailment |
((p>p)&~(((t|t)&(t|((~(t)&t)>t))))) | (t|(p|t)) | 0 | 1 | 1 | 1 | not entailment |
((((t|p)>p)&(p&~(t)))|((p|t)&p)) | ~(~(p)) | 1 | 1 | 1 | 1 | entailment |
~((t|((p>p)>p))) | ~(((p|p)|~(((t|((p>p)>t))|(t>p))))) | 1 | 0 | 1 | 0 | entailment |
((((t|p)>p)&(p&~(t)))|((p|t)&p)) | ~(((p|p)|~(((t|((p>p)>t))|(t>p))))) | 0 | 0 | 1 | 1 | not entailment |
~((t|((p>p)>p))) | ~(~(p)) | 0 | 1 | 1 | 1 | not entailment |
((t|~(p))&t) | ((t|t)|(t|p)) | 1 | 1 | 1 | 0 | entailment |
~((p|p)) | (t>~((p&p))) | 1 | 0 | 0 | 0 | entailment |
((t|~(p))&t) | (t>~((p&p))) | 0 | 1 | 1 | 0 | not entailment |
~((p|p)) | ((t|t)|(t|p)) | 0 | 0 | 0 | 0 | not entailment |
(((t&t)&t)&~(p)) | ((((((t|t)&p)|p)|p)|t)&(p|(t&t))) | 1 | 0 | 1 | 0 | entailment |
(~(p)>((t|t)>(p|p))) | (~(p)>(~(t)|(~(~(t))&~(t)))) | 1 | 0 | 1 | 0 | entailment |
(((t&t)&t)&~(p)) | (~(p)>(~(t)|(~(~(t))&~(t)))) | 0 | 0 | 1 | 0 | not entailment |
(~(p)>((t|t)>(p|p))) | ((((((t|t)&p)|p)|p)|t)&(p|(t&t))) | 0 | 0 | 1 | 0 | not entailment |
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