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&v) | ((v>z)|~(~(l))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((n>v)))&(k&(n&z))) | ~(~(((k&v)>((y&r)|((~(u)&r)|u))))) | 0 | 0 | 0 | 0 | not entailment |
(~(((n|l)>i))&(~((k|r))&n)) | ((i>z)|z) | 1 | 1 | 0 | 0 | entailment |
((~((~(b)&n))&(r|(k&~(~(k)))))&~(b)) | (((~((r|(y>z)))|l)&(~((n>i))&z))>(r&u)) | 1 | 1 | 0 | 0 | entailment |
(~(((n|l)>i))&(~((k|r))&n)) | (((~((r|(y>z)))|l)&(~((n>i))&z))>(r&u)) | 0 | 0 | 0 | 0 | not entailment |
((~((~(b)&n))&(r|(k&~(~(k)))))&~(b)) | ((i>z)|z) | 0 | 1 | 0 | 0 | not entailment |
((p&~((p>s)))&((y|y)&(y&(y|(y>r))))) | (~(s)&(~(y)>y)) | 1 | 1 | 1 | 1 | entailment |
~((~(~(~(~((s|r)))))>r)) | ~(~((((k|s)|s)>s))) | 1 | 1 | 0 | 0 | entailment |
((p&~((p>s)))&((y|y)&(y&(y|(y>r))))) | ~(~((((k|s)|s)>s))) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(~(~((s|r)))))>r)) | (~(s)&(~(y)>y)) | 0 | 1 | 0 | 0 | not entailment |
((~(((~(k)>p)|y))|(~(y)|~(~(y))))&p) | ((y>s)|(y>p)) | 1 | 1 | 0 | 0 | entailment |
(y&(k|(s&k))) | (s>y) | 1 | 1 | 1 | 0 | entailment |
((~(((~(k)>p)|y))|(~(y)|~(~(y))))&p) | (s>y) | 0 | 1 | 0 | 0 | not entailment |
(y&(k|(s&k))) | ((y>s)|(y>p)) | 0 | 1 | 0 | 0 | not entailment |
(y&p) | ((y&(p>~((p|s))))|~(~((((r>r)|p)>p)))) | 1 | 0 | 0 | 0 | entailment |
~((~(r)&(y&(p>k)))) | ((y|(y&~(~(r))))>(r|~(k))) | 1 | 0 | 1 | 0 | entailment |
(y&p) | ((y|(y&~(~(r))))>(r|~(k))) | 0 | 0 | 0 | 0 | not entailment |
~((~(r)&(y&(p>k)))) | ((y&(p>~((p|s))))|~(~((((r>r)|p)>p)))) | 0 | 0 | 0 | 0 | not entailment |
(y&k) | ~(~((~(k)>~(r)))) | 1 | 0 | 0 | 0 | entailment |
(~(p)>~(~(~((p>((y|r)>s)))))) | (~(((p|(s&s))|(r>s)))>(k>(r&p))) | 1 | 1 | 0 | 0 | entailment |
(y&k) | (~(((p|(s&s))|(r>s)))>(k>(r&p))) | 0 | 0 | 0 | 0 | not entailment |
(~(p)>~(~(~((p>((y|r)>s)))))) | ~(~((~(k)>~(r)))) | 0 | 1 | 0 | 0 | not entailment |
~(k) | (~(k)|y) | 1 | 0 | 0 | 0 | entailment |
~(((y|(p>y))>((s>p)&y))) | ((~(p)|r)|k) | 1 | 1 | 0 | 0 | entailment |
~(k) | ((~(p)|r)|k) | 0 | 0 | 0 | 0 | not entailment |
~(((y|(p>y))>((s>p)&y))) | (~(k)|y) | 0 | 1 | 0 | 0 | not entailment |
(~(r)>~((((s|p)&p)|~(~(k))))) | ((k>y)|(r|r)) | 1 | 1 | 0 | 0 | entailment |
(p&(p>p)) | (~(((~((s&r))>y)|p))>(r|(y&p))) | 1 | 0 | 0 | 0 | entailment |
(~(r)>~((((s|p)&p)|~(~(k))))) | (~(((~((s&r))>y)|p))>(r|(y&p))) | 0 | 1 | 0 | 0 | not entailment |
(p&(p>p)) | ((k>y)|(r|r)) | 0 | 0 | 0 | 0 | not entailment |
(y&k) | ((~(p)>(k>y))|y) | 1 | 0 | 0 | 0 | entailment |
~((~((s&k))>((y&s)&(r>(s&y))))) | (~((s>(k>r)))|((s&k)>(p&(((p>k)|p)|p)))) | 1 | 0 | 0 | 0 | entailment |
(y&k) | (~((s>(k>r)))|((s&k)>(p&(((p>k)|p)|p)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((s&k))>((y&s)&(r>(s&y))))) | ((~(p)>(k>y))|y) | 0 | 1 | 0 | 0 | not entailment |
(((p&s)&r)&(y&(((y>p)&s)>p))) | ((y|(k&p))|k) | 1 | 1 | 0 | 0 | entailment |
~(y) | ((~(p)>k)>~((((y>r)|y)&y))) | 1 | 0 | 0 | 0 | entailment |
(((p&s)&r)&(y&(((y>p)&s)>p))) | ((~(p)>k)>~((((y>r)|y)&y))) | 0 | 1 | 0 | 0 | not entailment |
~(y) | ((y|(k&p))|k) | 0 | 0 | 0 | 0 | not entailment |
((k>p)>(p>~((~(y)|(s|r))))) | ((p>k)|((r>k)>y)) | 1 | 1 | 1 | 0 | entailment |
(s&s) | (s|(((s>s)>k)>y)) | 1 | 0 | 0 | 0 | entailment |
((k>p)>(p>~((~(y)|(s|r))))) | (s|(((s>s)>k)>y)) | 0 | 1 | 1 | 0 | not entailment |
(s&s) | ((p>k)|((r>k)>y)) | 0 | 0 | 0 | 0 | not entailment |
(s&k) | (s|(~((y&r))>~((r>(r&(y>r)))))) | 1 | 0 | 0 | 0 | entailment |
(~(k)&(y|(p>k))) | ((~(r)&~((k>y)))>p) | 1 | 0 | 0 | 0 | entailment |
(s&k) | ((~(r)&~((k>y)))>p) | 0 | 0 | 0 | 0 | not entailment |
(~(k)&(y|(p>k))) | (s|(~((y&r))>~((r>(r&(y>r)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(((s>y)&r))>((k&r)&r)) | (r|((y|p)>s)) | 1 | 1 | 0 | 0 | entailment |
(~(k)&((r&~(p))>(r>~(~(p))))) | (~((r>~((~((r>((p|s)>y)))>r))))>p) | 1 | 0 | 0 | 0 | entailment |
(~(((s>y)&r))>((k&r)&r)) | (~((r>~((~((r>((p|s)>y)))>r))))>p) | 0 | 0 | 0 | 0 | not entailment |
(~(k)&((r&~(p))>(r>~(~(p))))) | (r|((y|p)>s)) | 0 | 1 | 0 | 0 | not entailment |
((y&(~((k|((r>(y&s))|(r>p))))&y))&(y|r)) | ((p|y)&(p|~(((p&(s&p))&~(r))))) | 1 | 1 | 1 | 0 | entailment |
(((((s>r)|r)&(s&(k>~(k))))>(r&k))>(p&s)) | ((~(p)&y)>s) | 1 | 1 | 0 | 0 | entailment |
((y&(~((k|((r>(y&s))|(r>p))))&y))&(y|r)) | ((~(p)&y)>s) | 0 | 1 | 1 | 0 | not entailment |
(((((s>r)|r)&(s&(k>~(k))))>(r&k))>(p&s)) | ((p|y)&(p|~(((p&(s&p))&~(r))))) | 0 | 1 | 0 | 0 | not entailment |
~((y|((s&k)&k))) | ((y|y)>(p>s)) | 1 | 1 | 0 | 0 | entailment |
(~(k)&(((s|r)&k)>(r>r))) | ~(k) | 1 | 1 | 1 | 1 | entailment |
~((y|((s&k)&k))) | ~(k) | 0 | 1 | 1 | 1 | not entailment |
(~(k)&(((s|r)&k)>(r>r))) | ((y|y)>(p>s)) | 0 | 1 | 0 | 0 | not entailment |
(s&p) | ((~(k)>s)|r) | 1 | 0 | 0 | 0 | entailment |
((r>(y|y))&~((y|~((p|r))))) | (((s&r)>y)|~(k)) | 1 | 1 | 0 | 0 | entailment |
(s&p) | (((s&r)>y)|~(k)) | 0 | 0 | 0 | 0 | not entailment |
((r>(y|y))&~((y|~((p|r))))) | ((~(k)>s)|r) | 0 | 1 | 0 | 0 | not entailment |
((k&p)&(~((p&s))>(~(~(~(k)))|(p>r)))) | ~((~(s)&~(((k>p)&(s>y))))) | 1 | 1 | 0 | 0 | entailment |
(~((((p>k)|s)&(r&(r>~(y)))))&y) | (~(p)|(s>y)) | 1 | 1 | 1 | 0 | entailment |
((k&p)&(~((p&s))>(~(~(~(k)))|(p>r)))) | (~(p)|(s>y)) | 0 | 1 | 0 | 0 | not entailment |
(~((((p>k)|s)&(r&(r>~(y)))))&y) | ~((~(s)&~(((k>p)&(s>y))))) | 0 | 1 | 1 | 0 | not entailment |
((h&~((f&x)))&~((h>c))) | ~(c) | 1 | 1 | 1 | 1 | entailment |
(t&q) | (~(n)|(((h&j)|(j&h))|(q|t))) | 1 | 0 | 0 | 0 | entailment |
((h&~((f&x)))&~((h>c))) | (~(n)|(((h&j)|(j&h))|(q|t))) | 0 | 0 | 0 | 0 | not entailment |
(t&q) | ~(c) | 0 | 1 | 0 | 0 | not entailment |
~(((((x>c)>t)>n)|((j>(f>c))>(t>h)))) | (n>(y&y)) | 1 | 1 | 0 | 0 | entailment |
(((t&x)&h)&(t>c)) | (c&x) | 1 | 1 | 1 | 1 | entailment |
~(((((x>c)>t)>n)|((j>(f>c))>(t>h)))) | (c&x) | 0 | 1 | 1 | 1 | not entailment |
(((t&x)&h)&(t>c)) | (n>(y&y)) | 0 | 1 | 0 | 0 | not entailment |
~((t|~(~((y|(f>y)))))) | ((~(x)&t)|((y>(n>f))>f)) | 1 | 1 | 0 | 0 | entailment |
~(((h&h)|~(j))) | (h>t) | 1 | 1 | 0 | 0 | entailment |
~((t|~(~((y|(f>y)))))) | (h>t) | 0 | 1 | 0 | 0 | not entailment |
~(((h&h)|~(j))) | ((~(x)&t)|((y>(n>f))>f)) | 0 | 0 | 0 | 0 | not entailment |
((~(f)|(j|(c|y)))&(j&(j|n))) | (y>(j&j)) | 1 | 1 | 1 | 0 | entailment |
~(((((j>h)|h)>t)|c)) | (c>((n|(y>~(x)))>(q|q))) | 1 | 0 | 0 | 0 | entailment |
((~(f)|(j|(c|y)))&(j&(j|n))) | (c>((n|(y>~(x)))>(q|q))) | 0 | 1 | 0 | 0 | not entailment |
~(((((j>h)|h)>t)|c)) | (y>(j&j)) | 0 | 1 | 0 | 0 | not entailment |
((c&t)&~((~(~(~((h&h))))>(h|h)))) | (t|(((h|x)|h)>~(~((~(~(j))|(x>j)))))) | 1 | 0 | 0 | 0 | entailment |
(x&~((~((y&~((f>(y&c)))))>(y&c)))) | ~(~((q|x))) | 1 | 1 | 0 | 0 | entailment |
((c&t)&~((~(~(~((h&h))))>(h|h)))) | ~(~((q|x))) | 0 | 1 | 0 | 0 | not entailment |
(x&~((~((y&~((f>(y&c)))))>(y&c)))) | (t|(((h|x)|h)>~(~((~(~(j))|(x>j)))))) | 0 | 0 | 0 | 0 | not entailment |
(x&~(j)) | (x|t) | 1 | 1 | 0 | 0 | entailment |
(((f&((t|h)|~(~(n))))|x)>c) | ((j>~(q))>((x&~(c))>t)) | 1 | 1 | 0 | 0 | entailment |
(x&~(j)) | ((j>~(q))>((x&~(c))>t)) | 0 | 0 | 0 | 0 | not entailment |
(((f&((t|h)|~(~(n))))|x)>c) | (x|t) | 0 | 1 | 1 | 0 | not entailment |
~(((x>f)|(~(~(~((x>((n&h)|y)))))|t))) | ~((~(x)|f)) | 1 | 1 | 1 | 1 | entailment |
(c&~(x)) | (c|(f|f)) | 1 | 1 | 0 | 0 | entailment |
~(((x>f)|(~(~(~((x>((n&h)|y)))))|t))) | (c|(f|f)) | 0 | 1 | 0 | 0 | not entailment |
(c&~(x)) | ~((~(x)|f)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((y|(~(x)|q))))&(x&x)) | ((j|(q>q))>(((x|q)|~((f&n)))|q)) | 1 | 0 | 0 | 0 | entailment |
((n|t)&j) | (f|j) | 1 | 1 | 0 | 0 | entailment |
(~(~((y|(~(x)|q))))&(x&x)) | (f|j) | 0 | 1 | 0 | 0 | not entailment |
((n|t)&j) | ((j|(q>q))>(((x|q)|~((f&n)))|q)) | 0 | 0 | 0 | 0 | not entailment |
~((~(c)|(c>t))) | ~((~(c)&(f|c))) | 1 | 1 | 0 | 0 | entailment |
~(((~(~((j>j)))|c)&(~((f&y))|q))) | ~(~((~((q|h))|~((x&~(((q|y)&h))))))) | 1 | 0 | 0 | 0 | entailment |
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