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 |
|---|---|---|---|---|---|---|
(((p&d)&~(~(y)))&((x&(a&t))&((y|n)>d))) | ((~(((y>(p>y))&a))>(a&y))>w) | 0 | 1 | 0 | 0 | not entailment |
(w&p) | (((d|n)&d)|(n|o)) | 0 | 0 | 0 | 0 | not entailment |
(~((n&(n&b)))&(b&(k|q))) | (~((r>~(n)))>(~(k)>(r>(f&m)))) | 1 | 0 | 0 | 0 | entailment |
((((k>~((k>r)))>n)&((p&p)&n))&(r&(m|p))) | ~(~(p)) | 1 | 1 | 1 | 1 | entailment |
(~((n&(n&b)))&(b&(k|q))) | ~(~(p)) | 0 | 1 | 0 | 0 | not entailment |
((((k>~((k>r)))>n)&((p&p)&n))&(r&(m|p))) | (~((r>~(n)))>(~(k)>(r>(f&m)))) | 0 | 1 | 0 | 0 | not entailment |
((p>~(q))&((q&(b>p))&((n&k)|q))) | ~(((((r|k)>(p>k))>~(q))&(q&(k>(q&f))))) | 1 | 0 | 0 | 0 | entailment |
(((r|(k>k))>(b&(p&n)))&~(~(~(f)))) | ((k>(n|k))&((k>p)>(~(p)>m))) | 1 | 1 | 0 | 0 | entailment |
((p>~(q))&((q&(b>p))&((n&k)|q))) | ((k>(n|k))&((k>p)>(~(p)>m))) | 0 | 1 | 0 | 0 | not entailment |
(((r|(k>k))>(b&(p&n)))&~(~(~(f)))) | ~(((((r|k)>(p>k))>~(q))&(q&(k>(q&f))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(p))&((r&(m|(m>q)))&((k&m)|k))) | (~(f)>(((r>f)>r)>p)) | 1 | 1 | 0 | 0 | entailment |
~(((q>r)>p)) | (~((n>((~(n)>p)&((n&(p>f))|~(b)))))>q) | 1 | 0 | 0 | 0 | entailment |
(~(~(p))&((r&(m|(m>q)))&((k&m)|k))) | (~((n>((~(n)>p)&((n&(p>f))|~(b)))))>q) | 0 | 0 | 0 | 0 | not entailment |
~(((q>r)>p)) | (~(f)>(((r>f)>r)>p)) | 0 | 0 | 0 | 0 | not entailment |
((m>k)|~(~((m>~((b>m)))))) | (p|(m>((m>r)>k))) | 1 | 1 | 0 | 0 | entailment |
~(~(~((((n>q)&f)|((k>k)>p))))) | (f>~((n&p))) | 1 | 1 | 1 | 0 | entailment |
((m>k)|~(~((m>~((b>m)))))) | (f>~((n&p))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((((n>q)&f)|((k>k)>p))))) | (p|(m>((m>r)>k))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((n|(m|f))))) | ((b&(k|f))|((k|~(n))|m)) | 1 | 0 | 0 | 0 | entailment |
~((r|(q>p))) | (~(q)>~(b)) | 1 | 1 | 0 | 0 | entailment |
~(~(~((n|(m|f))))) | (~(q)>~(b)) | 0 | 1 | 0 | 0 | not entailment |
~((r|(q>p))) | ((b&(k|f))|((k|~(n))|m)) | 0 | 0 | 0 | 0 | not entailment |
~(((f|q)>(r|(k>f)))) | (m>((r&(q>n))>q)) | 1 | 1 | 0 | 0 | entailment |
~(((b|p)|n)) | (~((f|(q&n)))>~(p)) | 1 | 0 | 0 | 0 | entailment |
~(((f|q)>(r|(k>f)))) | (~((f|(q&n)))>~(p)) | 0 | 1 | 0 | 0 | not entailment |
~(((b|p)|n)) | (m>((r&(q>n))>q)) | 0 | 0 | 0 | 0 | not entailment |
(n&r) | ((((n|m)|n)|(r|n))|b) | 1 | 0 | 0 | 0 | entailment |
~((((n&b)|((~(b)>k)|r))|r)) | ~(~(((r&(n>(r>b)))>~(~(~(r)))))) | 1 | 0 | 1 | 0 | entailment |
(n&r) | ~(~(((r&(n>(r>b)))>~(~(~(r)))))) | 0 | 0 | 0 | 0 | not entailment |
~((((n&b)|((~(b)>k)|r))|r)) | ((((n|m)|n)|(r|n))|b) | 0 | 1 | 0 | 0 | not entailment |
(b&(~(n)|p)) | ~(~((~(((k|p)|n))|((b|p)|~((f&q)))))) | 1 | 0 | 0 | 0 | entailment |
~((r|p)) | (~((p&p))&(p>~((k>(f|r))))) | 1 | 0 | 0 | 0 | entailment |
(b&(~(n)|p)) | (~((p&p))&(p>~((k>(f|r))))) | 0 | 0 | 0 | 0 | not entailment |
~((r|p)) | ~(~((~(((k|p)|n))|((b|p)|~((f&q)))))) | 0 | 0 | 0 | 0 | not entailment |
(b&(q>(p>((b|((r&b)>r))|~((n>k)))))) | ((~(m)>~((r&r)))|(((k&q)>b)|(p&p))) | 1 | 1 | 0 | 0 | entailment |
~(b) | ~((((k|(q|p))&b)&((b|k)&k))) | 1 | 0 | 0 | 0 | entailment |
(b&(q>(p>((b|((r&b)>r))|~((n>k)))))) | ~((((k|(q|p))&b)&((b|k)&k))) | 0 | 1 | 1 | 1 | not entailment |
~(b) | ((~(m)>~((r&r)))|(((k&q)>b)|(p&p))) | 0 | 0 | 0 | 0 | not entailment |
~((~((n|(r&f)))|(p|(p|n)))) | ~(~(((((m>b)&(f|b))&((b|p)&r))|(f|b)))) | 1 | 0 | 0 | 0 | entailment |
(~(~(k))&~(~(m))) | ~((~((k|b))&~((p&~((r>p)))))) | 1 | 0 | 0 | 0 | entailment |
~((~((n|(r&f)))|(p|(p|n)))) | ~((~((k|b))&~((p&~((r>p)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(k))&~(~(m))) | ~(~(((((m>b)&(f|b))&((b|p)&r))|(f|b)))) | 0 | 0 | 0 | 0 | not entailment |
((~((~((b&k))|n))&q)&((k>m)>~(m))) | (~(n)>(~((n>n))|b)) | 1 | 1 | 1 | 0 | entailment |
~(((k&f)>n)) | ~((f>(((~(f)>p)|(~(q)>b))&~(k)))) | 1 | 0 | 0 | 0 | entailment |
((~((~((b&k))|n))&q)&((k>m)>~(m))) | ~((f>(((~(f)>p)|(~(q)>b))&~(k)))) | 0 | 1 | 0 | 0 | not entailment |
~(((k&f)>n)) | (~(n)>(~((n>n))|b)) | 0 | 0 | 0 | 0 | not entailment |
~(((r>k)|n)) | (~((p>~(~(((n|k)&b)))))>(r|r)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(~(~(q))))) | (q>(q&(f>~((q|q))))) | 1 | 1 | 0 | 0 | entailment |
~(((r>k)|n)) | (q>(q&(f>~((q|q))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(~(~(q))))) | (~((p>~(~(((n|k)&b)))))>(r|r)) | 0 | 0 | 0 | 0 | not entailment |
(((n&p)&b)&(((f|(m>n))|(q|~((n>q))))>m)) | ~(~((~(~((r&b)))|(q>b)))) | 1 | 1 | 0 | 0 | entailment |
~((n|(r>(q>b)))) | (b>~((n|(n|p)))) | 1 | 1 | 0 | 0 | entailment |
(((n&p)&b)&(((f|(m>n))|(q|~((n>q))))>m)) | (b>~((n|(n|p)))) | 0 | 1 | 1 | 0 | not entailment |
~((n|(r>(q>b)))) | ~(~((~(~((r&b)))|(q>b)))) | 0 | 0 | 1 | 0 | not entailment |
(r&b) | ((r&b)&b) | 1 | 0 | 1 | 1 | entailment |
~((f>b)) | (q|~((b&n))) | 1 | 0 | 0 | 0 | entailment |
(r&b) | (q|~((b&n))) | 0 | 0 | 0 | 0 | not entailment |
~((f>b)) | ((r&b)&b) | 0 | 1 | 0 | 0 | not entailment |
((k&m)&r) | (~(((m|f)|r))|(((f>(m>r))>r)|m)) | 1 | 0 | 0 | 0 | entailment |
~((~(~(m))|(r&(~(m)|((b|~(n))&q))))) | (~((m&p))|~(~((q&(r>f))))) | 1 | 1 | 0 | 0 | entailment |
((k&m)&r) | (~((m&p))|~(~((q&(r>f))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(m))|(r&(~(m)|((b|~(n))&q))))) | (~(((m|f)|r))|(((f>(m>r))>r)|m)) | 0 | 1 | 0 | 0 | not entailment |
~((~(q)>((m>b)|(r&n)))) | ((n&(~(r)|~(((k|n)>f))))>~((q&b))) | 1 | 0 | 0 | 0 | entailment |
(k&((b>r)|(k|~((k>k))))) | ~(~((m>(((k>((f&b)>(f&f)))>(b|m))>k)))) | 1 | 0 | 0 | 0 | entailment |
~((~(q)>((m>b)|(r&n)))) | ~(~((m>(((k>((f&b)>(f&f)))>(b|m))>k)))) | 0 | 0 | 0 | 0 | not entailment |
(k&((b>r)|(k|~((k>k))))) | ((n&(~(r)|~(((k|n)>f))))>~((q&b))) | 0 | 0 | 0 | 0 | not entailment |
((n|b)&m) | ((r|n)>(q>m)) | 1 | 0 | 0 | 0 | entailment |
(((m|(n|q))&~(f))&((p>r)&q)) | (~(((m|~(k))>(b&q)))>q) | 1 | 1 | 0 | 0 | entailment |
((n|b)&m) | (~(((m|~(k))>(b&q)))>q) | 0 | 0 | 0 | 0 | not entailment |
(((m|(n|q))&~(f))&((p>r)&q)) | ((r|n)>(q>m)) | 0 | 1 | 1 | 0 | not entailment |
(p>~(~(~(((p|(((n&q)&f)>~(q)))|k))))) | ((~((k|f))|(f|(~(k)>r)))&(p>~(f))) | 1 | 1 | 0 | 0 | entailment |
((f&p)&f) | ((p&p)|m) | 1 | 1 | 0 | 0 | entailment |
(p>~(~(~(((p|(((n&q)&f)>~(q)))|k))))) | ((p&p)|m) | 0 | 1 | 0 | 0 | not entailment |
((f&p)&f) | ((~((k|f))|(f|(~(k)>r)))&(p>~(f))) | 0 | 0 | 0 | 0 | not entailment |
(~((((b&(b&k))&q)>(p>m)))&f) | (((n>m)&(n|m))>f) | 1 | 1 | 0 | 0 | entailment |
(~(p)&~((((p&(m|r))|b)|(f|r)))) | (b>~(f)) | 1 | 1 | 1 | 1 | entailment |
(~((((b&(b&k))&q)>(p>m)))&f) | (b>~(f)) | 0 | 1 | 1 | 0 | not entailment |
(~(p)&~((((p&(m|r))|b)|(f|r)))) | (((n>m)&(n|m))>f) | 0 | 1 | 0 | 0 | not entailment |
((f|f)&~((f>~(((q&r)&f))))) | (((m|~(r))&~(((p>q)>(q&m))))>(p|k)) | 1 | 0 | 0 | 0 | entailment |
~((~(q)>(~((n&p))>b))) | ((b>n)|~((k>b))) | 1 | 1 | 0 | 0 | entailment |
((f|f)&~((f>~(((q&r)&f))))) | ((b>n)|~((k>b))) | 0 | 1 | 0 | 0 | not entailment |
~((~(q)>(~((n&p))>b))) | (((m|~(r))&~(((p>q)>(q&m))))>(p|k)) | 0 | 0 | 0 | 0 | not entailment |
~((((~(n)>~(~(p)))&q)>~(b))) | (((r>q)&(p&q))|~(~((n>q)))) | 1 | 1 | 0 | 0 | entailment |
((f&m)&((p>p)&(k|r))) | (q>(p|f)) | 1 | 1 | 0 | 0 | entailment |
~((((~(n)>~(~(p)))&q)>~(b))) | (q>(p|f)) | 0 | 1 | 0 | 0 | not entailment |
((f&m)&((p>p)&(k|r))) | (((r>q)&(p&q))|~(~((n>q)))) | 0 | 0 | 0 | 0 | not entailment |
(i&(~((~(w)&i))&~(s))) | ((w|((r|a)>(k|(w|k))))&((k&i)|w)) | 1 | 0 | 0 | 0 | entailment |
~((i|(a&(a|~(c))))) | (i>(~(w)|~((c|k)))) | 1 | 1 | 0 | 0 | entailment |
(i&(~((~(w)&i))&~(s))) | (i>(~(w)|~((c|k)))) | 0 | 1 | 0 | 0 | not entailment |
~((i|(a&(a|~(c))))) | ((w|((r|a)>(k|(w|k))))&((k&i)|w)) | 0 | 0 | 0 | 0 | not entailment |
(~(c)>(((c|w)&w)&(((r|i)|(s|c))|i))) | (w|~((~((w&(s>a)))>(~((k>c))&~(a))))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((r>a)&(w|a))))) | (((k>(a&w))>r)>(w>r)) | 1 | 1 | 0 | 0 | entailment |
(~(c)>(((c|w)&w)&(((r|i)|(s|c))|i))) | (((k>(a&w))>r)>(w>r)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((r>a)&(w|a))))) | (w|~((~((w&(s>a)))>(~((k>c))&~(a))))) | 0 | 0 | 0 | 0 | not entailment |
((c>((a|(k|c))|i))&(s&s)) | ~((s>((~(i)&r)&i))) | 1 | 1 | 0 | 0 | entailment |
((w|(w&((c>k)>s)))&~((r|s))) | ((s&i)|(a>(k|((r>w)|w)))) | 1 | 1 | 0 | 0 | entailment |
((c>((a|(k|c))|i))&(s&s)) | ((s&i)|(a>(k|((r>w)|w)))) | 0 | 1 | 0 | 0 | not entailment |
((w|(w&((c>k)>s)))&~((r|s))) | ~((s>((~(i)&r)&i))) | 0 | 1 | 0 | 0 | not entailment |
((s>c)&((i&k)&a)) | ((i|i)&(w>k)) | 1 | 1 | 0 | 0 | entailment |
(c&k) | ~(~((((((r|w)>c)>c)|(i|r))>(c|~(k))))) | 1 | 0 | 0 | 0 | entailment |
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