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 |
|---|---|---|---|---|---|---|
((s>c)&((i&k)&a)) | ~(~((((((r|w)>c)>c)|(i|r))>(c|~(k))))) | 0 | 0 | 0 | 0 | not entailment |
(c&k) | ((i|i)&(w>k)) | 0 | 0 | 0 | 0 | not entailment |
(((c>s)&k)&((k|(w|r))>a)) | ((s&r)>(a&k)) | 1 | 1 | 1 | 0 | entailment |
~(k) | (((k&k)&(r|i))>w) | 1 | 0 | 0 | 0 | entailment |
(((c>s)&k)&((k|(w|r))>a)) | (((k&k)&(r|i))>w) | 0 | 1 | 0 | 0 | not entailment |
~(k) | ((s&r)>(a&k)) | 0 | 0 | 0 | 0 | not entailment |
~((w>(~(k)|((a|c)|~(i))))) | ~(~((((s|~((c|s)))|(r|r))|s))) | 1 | 0 | 0 | 0 | entailment |
((~(((i|i)&(i>c)))>k)&a) | (a|r) | 1 | 1 | 0 | 0 | entailment |
~((w>(~(k)|((a|c)|~(i))))) | (a|r) | 0 | 1 | 0 | 0 | not entailment |
((~(((i|i)&(i>c)))>k)&a) | ~(~((((s|~((c|s)))|(r|r))|s))) | 0 | 0 | 0 | 0 | not entailment |
(~((((s&r)|w)|((i>w)|i)))|(c&w)) | ((~(~(k))|c)|(s|(i&(a|w)))) | 1 | 1 | 0 | 0 | entailment |
~(w) | ~(((w|a)&(a>w))) | 1 | 0 | 0 | 0 | entailment |
(~((((s&r)|w)|((i>w)|i)))|(c&w)) | ~(((w|a)&(a>w))) | 0 | 1 | 0 | 0 | not entailment |
~(w) | ((~(~(k))|c)|(s|(i&(a|w)))) | 0 | 0 | 0 | 0 | not entailment |
(r&((k>~(~(a)))>(k|c))) | ((r|k)|(i|r)) | 1 | 1 | 0 | 0 | entailment |
(((c|a)&(r>a))>~(((i&(s|k))>a))) | ~((~((i|~(i)))|a)) | 1 | 1 | 1 | 0 | entailment |
(r&((k>~(~(a)))>(k|c))) | ~((~((i|~(i)))|a)) | 0 | 1 | 0 | 0 | not entailment |
(((c|a)&(r>a))>~(((i&(s|k))>a))) | ((r|k)|(i|r)) | 0 | 1 | 1 | 1 | not entailment |
(s&(s|s)) | ((k>~(((~(a)>a)&~((a&(i&k))))))|(i|s)) | 1 | 0 | 0 | 0 | entailment |
(((~(~((c>a)))>a)&(c&c))&a) | (((a>i)&c)|(((a|w)|r)>(a|w))) | 1 | 1 | 0 | 0 | entailment |
(s&(s|s)) | (((a>i)&c)|(((a|w)|r)>(a|w))) | 0 | 0 | 0 | 0 | not entailment |
(((~(~((c>a)))>a)&(c&c))&a) | ((k>~(((~(a)>a)&~((a&(i&k))))))|(i|s)) | 0 | 0 | 0 | 0 | not entailment |
(((a|((i|k)>a))&w)&((i&(k&r))&i)) | ((r|(k&w))|(((c|~((k|c)))|k)&~(a))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((~(w)>(c|k))))|w)) | ~(((~(k)>(~(((i&r)&(c|k)))&c))|k)) | 1 | 0 | 0 | 0 | entailment |
(((a|((i|k)>a))&w)&((i&(k&r))&i)) | ~(((~(k)>(~(((i&r)&(c|k)))&c))|k)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((~(w)>(c|k))))|w)) | ((r|(k&w))|(((c|~((k|c)))|k)&~(a))) | 0 | 0 | 0 | 0 | not entailment |
((w&a)&~(r)) | ((~(~((r|((w>s)&i))))|c)|~(((w|k)>c))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((s>i)))) | (~(~((a|(r|w))))>(s|i)) | 1 | 0 | 0 | 0 | entailment |
((w&a)&~(r)) | (~(~((a|(r|w))))>(s|i)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((s>i)))) | ((~(~((r|((w>s)&i))))|c)|~(((w|k)>c))) | 0 | 0 | 0 | 0 | not entailment |
~(((r&(c&c))>(i|i))) | (~(~((r&(((a&c)>(s>i))&~(k)))))>(c&r)) | 1 | 0 | 0 | 0 | entailment |
((~((w|w))&r)&((c>r)|i)) | ~((((a|i)|a)&~(~(w)))) | 1 | 1 | 0 | 0 | entailment |
~(((r&(c&c))>(i|i))) | ~((((a|i)|a)&~(~(w)))) | 0 | 0 | 0 | 0 | not entailment |
((~((w|w))&r)&((c>r)|i)) | (~(~((r&(((a&c)>(s>i))&~(k)))))>(c&r)) | 0 | 0 | 0 | 0 | not entailment |
(k&r) | (w>r) | 1 | 1 | 0 | 0 | entailment |
(((c&w)&w)&~((a|a))) | ~((((k&s)>s)>(a&w))) | 1 | 1 | 0 | 0 | entailment |
(k&r) | ~((((k&s)>s)>(a&w))) | 0 | 0 | 0 | 0 | not entailment |
(((c&w)&w)&~((a|a))) | (w>r) | 0 | 1 | 0 | 0 | not entailment |
(~(((~(a)&~(s))>i))&(w|w)) | (w|((s&r)|~((i&(((a&s)>i)|w))))) | 1 | 0 | 0 | 0 | entailment |
~((((a&c)|k)|(((c>(i|s))>((r|s)|k))|w))) | (k>~(((~(a)&r)>s))) | 1 | 1 | 1 | 0 | entailment |
(~(((~(a)&~(s))>i))&(w|w)) | (k>~(((~(a)&r)>s))) | 0 | 1 | 0 | 0 | not entailment |
~((((a&c)|k)|(((c>(i|s))>((r|s)|k))|w))) | (w|((s&r)|~((i&(((a&s)>i)|w))))) | 0 | 1 | 1 | 0 | not entailment |
~((r>((c>c)>w))) | (((a&a)&r)|~((w&s))) | 1 | 0 | 0 | 0 | entailment |
(a|a) | ((i>c)>a) | 1 | 0 | 0 | 0 | entailment |
~((r>((c>c)>w))) | ((i>c)>a) | 0 | 1 | 0 | 0 | not entailment |
(a|a) | (((a&a)&r)|~((w&s))) | 0 | 0 | 0 | 0 | not entailment |
((k>r)&(~(~(s))&(i>(k|a)))) | (((w>(s>(s>a)))&(c&a))>(k>r)) | 1 | 1 | 0 | 0 | entailment |
(s>~((c>c))) | ~((s|s)) | 1 | 1 | 1 | 1 | entailment |
((k>r)&(~(~(s))&(i>(k|a)))) | ~((s|s)) | 0 | 1 | 1 | 0 | not entailment |
(s>~((c>c))) | (((w>(s>(s>a)))&(c&a))>(k>r)) | 0 | 0 | 0 | 0 | not entailment |
~(~((((((c|c)>k)>k)&r)&s))) | ~(~(~((r&((a&a)&(s>~(s))))))) | 1 | 0 | 0 | 0 | entailment |
(~(((s|a)>(s&w)))&((i|a)&(c&w))) | ~((~(~(((k|r)|w)))&~(a))) | 1 | 1 | 0 | 0 | entailment |
~(~((((((c|c)>k)>k)&r)&s))) | ~((~(~(((k|r)|w)))&~(a))) | 0 | 1 | 0 | 0 | not entailment |
(~(((s|a)>(s&w)))&((i|a)&(c&w))) | ~(~(~((r&((a&a)&(s>~(s))))))) | 0 | 1 | 0 | 0 | not entailment |
~((e>((~(t)&h)&j))) | (~(j)>((((t&h)&t)&(h>e))|e)) | 1 | 0 | 1 | 0 | entailment |
~((~((h&h))|(~(t)>j))) | ((h|(h>j))&(j|(h|j))) | 1 | 1 | 1 | 0 | entailment |
~((e>((~(t)&h)&j))) | ((h|(h>j))&(j|(h|j))) | 0 | 1 | 1 | 0 | not entailment |
~((~((h&h))|(~(t)>j))) | (~(j)>((((t&h)&t)&(h>e))|e)) | 0 | 0 | 0 | 0 | not entailment |
~(((h>(h>(t|(t&h))))>((j&(j&e))|(t|t)))) | ((h&h)>(((e|~(t))>(t>(j|h)))>e)) | 1 | 1 | 1 | 0 | entailment |
~((t>((e>t)>(~(t)&~((t>e)))))) | ((e|(((j&e)|h)|((h&t)|(e|j))))|((t|j)|j)) | 1 | 0 | 0 | 0 | entailment |
~(((h>(h>(t|(t&h))))>((j&(j&e))|(t|t)))) | ((e|(((j&e)|h)|((h&t)|(e|j))))|((t|j)|j)) | 0 | 1 | 1 | 0 | not entailment |
~((t>((e>t)>(~(t)&~((t>e)))))) | ((h&h)>(((e|~(t))>(t>(j|h)))>e)) | 0 | 1 | 0 | 0 | not entailment |
~((t|((t>e)>(e&t)))) | (h>(~(((h&t)|j))|(t>~((t&t))))) | 1 | 0 | 0 | 0 | entailment |
(h&j) | (((~(e)>t)>h)&(e|h)) | 1 | 0 | 0 | 0 | entailment |
~((t|((t>e)>(e&t)))) | (((~(e)>t)>h)&(e|h)) | 0 | 1 | 0 | 0 | not entailment |
(h&j) | (h>(~(((h&t)|j))|(t>~((t&t))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((t|e)>(t|j)))>(j&((j>t)>(j&j))))) | ((h|e)|(~(((((e&j)&(h|j))|j)|j))>e)) | 1 | 1 | 0 | 0 | entailment |
((j|t)&~((~((e&j))>h))) | ~((h&e)) | 1 | 1 | 1 | 1 | entailment |
~((~(((t|e)>(t|j)))>(j&((j>t)>(j&j))))) | ~((h&e)) | 0 | 1 | 0 | 0 | not entailment |
((j|t)&~((~((e&j))>h))) | ((h|e)|(~(((((e&j)&(h|j))|j)|j))>e)) | 0 | 0 | 1 | 0 | not entailment |
~(((e&(~(t)>j))>(j&(((j>j)>(h&h))>j)))) | ~(j) | 1 | 1 | 1 | 1 | entailment |
(((h>h)&(j&h))&(t&j)) | ((t|e)&(~(t)|h)) | 1 | 1 | 0 | 0 | entailment |
~(((e&(~(t)>j))>(j&(((j>j)>(h&h))>j)))) | ((t|e)&(~(t)|h)) | 0 | 1 | 1 | 0 | not entailment |
(((h>h)&(j&h))&(t&j)) | ~(j) | 0 | 1 | 1 | 0 | not entailment |
(~((h&t))>j) | (e|~((((e|(~(j)>e))|h)>(e&j)))) | 1 | 0 | 0 | 0 | entailment |
((j|j)>(~(t)&(e&(e&j)))) | (((~(j)|e)|((e&h)|h))|((h|~(t))&j)) | 1 | 0 | 0 | 0 | entailment |
(~((h&t))>j) | (((~(j)|e)|((e&h)|h))|((h|~(t))&j)) | 0 | 0 | 0 | 0 | not entailment |
((j|j)>(~(t)&(e&(e&j)))) | (e|~((((e|(~(j)>e))|h)>(e&j)))) | 0 | 0 | 0 | 0 | not entailment |
(h&j) | ((h|(h&t))|(~(((h|e)>j))>~(((e>j)>j)))) | 1 | 0 | 0 | 0 | entailment |
(~(~((h>(~(j)&j))))&((h|e)&t)) | ~(~(e)) | 1 | 1 | 1 | 1 | entailment |
(h&j) | ~(~(e)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((h>(~(j)&j))))&((h|e)&t)) | ((h|(h&t))|(~(((h|e)>j))>~(((e>j)>j)))) | 0 | 0 | 1 | 0 | not entailment |
~(((h&j)>((t>h)&~(e)))) | (t|j) | 1 | 1 | 1 | 1 | entailment |
~((e|((h&h)&j))) | ~(((e|(h>h))&(e&(j&(t>h))))) | 1 | 0 | 0 | 0 | entailment |
~(((h&j)>((t>h)&~(e)))) | ~(((e|(h>h))&(e&(j&(t>h))))) | 0 | 0 | 1 | 0 | not entailment |
~((e|((h&h)&j))) | (t|j) | 0 | 1 | 0 | 0 | not entailment |
((t|~(e))&(e&((e|e)>t))) | (((h|~((t|j)))>(h&((h|e)&t)))&(j>(j|h))) | 1 | 0 | 0 | 0 | entailment |
~(((j|(h>t))|(((j>e)&(h&t))|(h>e)))) | ((t|((t&~(t))&t))>(h&h)) | 1 | 1 | 1 | 0 | entailment |
((t|~(e))&(e&((e|e)>t))) | ((t|((t&~(t))&t))>(h&h)) | 0 | 1 | 0 | 0 | not entailment |
~(((j|(h>t))|(((j>e)&(h&t))|(h>e)))) | (((h|~((t|j)))>(h&((h|e)&t)))&(j>(j|h))) | 0 | 0 | 1 | 0 | not entailment |
~((h|~((e|j)))) | ~(((~(h)|h)>~((~((h&e))>~(h))))) | 1 | 0 | 1 | 0 | entailment |
~(j) | ((t|(j|t))>~(j)) | 1 | 0 | 0 | 0 | entailment |
~((h|~((e|j)))) | ((t|(j|t))>~(j)) | 0 | 1 | 0 | 0 | not entailment |
~(j) | ~(((~(h)|h)>~((~((h&e))>~(h))))) | 0 | 0 | 0 | 0 | not entailment |
~(((e|(t|e))>((e&(~(t)|h))>j))) | (e|~(h)) | 1 | 1 | 1 | 0 | entailment |
~(((~((h|e))>(e&(j>(h|e))))>e)) | ((t>h)&h) | 1 | 1 | 0 | 0 | entailment |
~(((e|(t|e))>((e&(~(t)|h))>j))) | ((t>h)&h) | 0 | 1 | 1 | 1 | not entailment |
~(((~((h|e))>(e&(j>(h|e))))>e)) | (e|~(h)) | 0 | 1 | 1 | 0 | not entailment |
((j&(j&h))&(~(h)|((j>t)|(e|h)))) | ((((j|t)&(h|j))|e)&(h|t)) | 1 | 1 | 1 | 1 | entailment |
((j>(~(t)|e))&((e>~(j))&t)) | ((~((e|e))>(h|~(((j&t)|t))))>~(~(t))) | 1 | 0 | 0 | 0 | entailment |
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