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 |
|---|---|---|---|---|---|---|
~(~(((n&(s>d))&(~((o&d))|((t>r)|o))))) | (z>n) | 1 | 1 | 0 | 0 | entailment |
(~(o)&d) | (d|z) | 1 | 1 | 0 | 0 | entailment |
~(~(((n&(s>d))&(~((o&d))|((t>r)|o))))) | (d|z) | 0 | 1 | 0 | 0 | not entailment |
(~(o)&d) | (z>n) | 0 | 1 | 0 | 0 | not entailment |
((((s>r)>r)&(o&n))&(z|l)) | (((~(d)>(z|r))>d)|(r>(z>n))) | 1 | 0 | 0 | 0 | entailment |
(~(o)&(o|(s&t))) | (((d|t)|~(r))&s) | 1 | 1 | 0 | 0 | entailment |
((((s>r)>r)&(o&n))&(z|l)) | (((d|t)|~(r))&s) | 0 | 1 | 0 | 0 | not entailment |
(~(o)&(o|(s&t))) | (((~(d)>(z|r))>d)|(r>(z>n))) | 0 | 0 | 0 | 0 | not entailment |
(~((z>(l&o)))&(l&(s>n))) | ((t>((l&s)|((~(t)>t)&z)))|(n&(r&t))) | 1 | 0 | 0 | 0 | entailment |
~(((n>(d&(o|s)))|(l|d))) | ~(l) | 1 | 1 | 1 | 1 | entailment |
(~((z>(l&o)))&(l&(s>n))) | ~(l) | 0 | 1 | 1 | 1 | not entailment |
~(((n>(d&(o|s)))|(l|d))) | ((t>((l&s)|((~(t)>t)&z)))|(n&(r&t))) | 0 | 0 | 0 | 0 | not entailment |
(((t&s)&(o>z))&~((n|d))) | (t|(n&t)) | 1 | 1 | 1 | 0 | entailment |
(((t|~(l))|(z|o))&~(s)) | (~((~((s>o))&t))|(r&(l>(z>l)))) | 1 | 0 | 0 | 0 | entailment |
(((t&s)&(o>z))&~((n|d))) | (~((~((s>o))&t))|(r&(l>(z>l)))) | 0 | 0 | 0 | 0 | not entailment |
(((t|~(l))|(z|o))&~(s)) | (t|(n&t)) | 0 | 1 | 0 | 0 | not entailment |
~(((o&d)>n)) | (((o|t)|t)>((~((l|l))>d)|((n|o)>t))) | 1 | 0 | 0 | 0 | entailment |
((d|r)&z) | ((s>z)&(z|r)) | 1 | 0 | 0 | 0 | entailment |
~(((o&d)>n)) | ((s>z)&(z|r)) | 0 | 1 | 0 | 0 | not entailment |
((d|r)&z) | (((o|t)|t)>((~((l|l))>d)|((n|o)>t))) | 0 | 0 | 0 | 0 | not entailment |
(~((l|n))&(((o|(n|(r&d)))&(d|t))&(d>n))) | ((l>(l>s))|~((~(z)>o))) | 1 | 1 | 0 | 0 | entailment |
(~(s)|~(((o&~(o))>(n|t)))) | ~((o&(~(r)&~(~((o>s)))))) | 1 | 1 | 0 | 0 | entailment |
(~((l|n))&(((o|(n|(r&d)))&(d|t))&(d>n))) | ~((o&(~(r)&~(~((o>s)))))) | 0 | 1 | 0 | 0 | not entailment |
(~(s)|~(((o&~(o))>(n|t)))) | ((l>(l>s))|~((~(z)>o))) | 0 | 1 | 0 | 0 | not entailment |
~(~((t&(~(z)&r)))) | (t|l) | 1 | 1 | 0 | 0 | entailment |
~((~(n)>~(((t|s)&(~(s)|~(z)))))) | ~((n&s)) | 1 | 1 | 1 | 1 | entailment |
~(~((t&(~(z)&r)))) | ~((n&s)) | 0 | 1 | 0 | 0 | not entailment |
~((~(n)>~(((t|s)&(~(s)|~(z)))))) | (t|l) | 0 | 1 | 0 | 0 | not entailment |
(r&r) | ~(((((t&s)&(z|(l|l)))>t)&~((z>(r|l))))) | 1 | 0 | 0 | 0 | entailment |
(~(~(o))&((n>z)|t)) | (~(z)>(o&o)) | 1 | 1 | 1 | 1 | entailment |
(r&r) | (~(z)>(o&o)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(o))&((n>z)|t)) | ~(((((t&s)&(z|(l|l)))>t)&~((z>(r|l))))) | 0 | 0 | 0 | 0 | not entailment |
(((d>(t>r))&l)&(d>(z&l))) | (l|((o&(s|r))|t)) | 1 | 1 | 0 | 0 | entailment |
((r|(((o>s)&r)&(r&o)))&z) | ((z|~(((t|n)|(n&d))))|(r&((n>d)>d))) | 1 | 0 | 0 | 0 | entailment |
(((d>(t>r))&l)&(d>(z&l))) | ((z|~(((t|n)|(n&d))))|(r&((n>d)>d))) | 0 | 0 | 0 | 0 | not entailment |
((r|(((o>s)&r)&(r&o)))&z) | (l|((o&(s|r))|t)) | 0 | 1 | 0 | 0 | not entailment |
~((((r&z)&l)|~((z&~(d))))) | ((t>~(~(((d>r)&t))))|o) | 1 | 1 | 0 | 0 | entailment |
(((n>(r&t))>n)|(~(~(~(r)))&(n&(n>s)))) | ((s|o)>(n|(~(n)&o))) | 1 | 1 | 0 | 0 | entailment |
~((((r&z)&l)|~((z&~(d))))) | ((s|o)>(n|(~(n)&o))) | 0 | 1 | 0 | 0 | not entailment |
(((n>(r&t))>n)|(~(~(~(r)))&(n&(n>s)))) | ((t>~(~(((d>r)&t))))|o) | 0 | 1 | 0 | 0 | not entailment |
~(((~(r)&(o&(s|z)))|(z|(z&r)))) | (z>(~(t)|(~(l)&r))) | 1 | 1 | 0 | 0 | entailment |
((o|((l>~((t>n)))&(l|(l>(n>r)))))&n) | ((s&d)|(r>n)) | 1 | 1 | 0 | 0 | entailment |
~(((~(r)&(o&(s|z)))|(z|(z&r)))) | ((s&d)|(r>n)) | 0 | 1 | 0 | 0 | not entailment |
((o|((l>~((t>n)))&(l|(l>(n>r)))))&n) | (z>(~(t)|(~(l)&r))) | 0 | 1 | 0 | 0 | not entailment |
~((s>(j|(k&k)))) | ~((k&r)) | 1 | 1 | 0 | 0 | entailment |
((s|(r>j))>~(s)) | ((k|(~(((k>((k|k)>j))&r))|r))>~(s)) | 1 | 0 | 0 | 0 | entailment |
~((s>(j|(k&k)))) | ((k|(~(((k>((k|k)>j))&r))|r))>~(s)) | 0 | 0 | 0 | 0 | not entailment |
((s|(r>j))>~(s)) | ~((k&r)) | 0 | 1 | 0 | 0 | not entailment |
(~(r)&t) | ((t|j)|(((t|(r&r))>(~((j|j))>~(k)))&k)) | 1 | 0 | 0 | 0 | entailment |
~(~(~((((t|~(s))|~((k&t)))&s)))) | (~(j)>~((((k>j)|j)&((r&(s&j))|s)))) | 1 | 1 | 0 | 0 | entailment |
(~(r)&t) | (~(j)>~((((k>j)|j)&((r&(s&j))|s)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((((t|~(s))|~((k&t)))&s)))) | ((t|j)|(((t|(r&r))>(~((j|j))>~(k)))&k)) | 0 | 0 | 0 | 0 | not entailment |
(~((t|(j|~(r))))&(r|~(r))) | ((j>r)>~(((j>(k&t))>(t|t)))) | 1 | 1 | 0 | 0 | entailment |
((j>(s>k))&~(((k|~((j>r)))|(k&j)))) | (((k&r)>t)|t) | 1 | 1 | 0 | 0 | entailment |
(~((t|(j|~(r))))&(r|~(r))) | (((k&r)>t)|t) | 0 | 1 | 0 | 0 | not entailment |
((j>(s>k))&~(((k|~((j>r)))|(k&j)))) | ((j>r)>~(((j>(k&t))>(t|t)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~(~((t>s)))))) | ((s>r)>((j|(t&t))|~((r>t)))) | 1 | 0 | 0 | 0 | entailment |
~(((t&(s>s))|k)) | (((k|t)|(t&(r&j)))>(t>k)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(~(~((t>s)))))) | (((k|t)|(t&(r&j)))>(t>k)) | 0 | 1 | 0 | 0 | not entailment |
~(((t&(s>s))|k)) | ((s>r)>((j|(t&t))|~((r>t)))) | 0 | 0 | 0 | 0 | not entailment |
~(((t>k)|j)) | (~((((j&k)>r)|s))|((((j>s)>t)>j)>t)) | 1 | 0 | 0 | 0 | entailment |
(r&~((k|(t&s)))) | (~(~((j|(k>t))))&(~((r>j))|j)) | 1 | 0 | 0 | 0 | entailment |
~(((t>k)|j)) | (~(~((j|(k>t))))&(~((r>j))|j)) | 0 | 0 | 0 | 0 | not entailment |
(r&~((k|(t&s)))) | (~((((j&k)>r)|s))|((((j>s)>t)>j)>t)) | 0 | 0 | 0 | 0 | not entailment |
((t&(j|((((j&j)&r)>(r|s))>(r>t))))&j) | (((t&j)&j)|~(((t&t)>(t>r)))) | 1 | 1 | 1 | 1 | entailment |
~(~((s|((((s&((r|t)&~(k)))&j)|r)&s)))) | (t>(s&s)) | 1 | 1 | 1 | 0 | entailment |
((t&(j|((((j&j)&r)>(r|s))>(r>t))))&j) | (t>(s&s)) | 0 | 1 | 1 | 0 | not entailment |
~(~((s|((((s&((r|t)&~(k)))&j)|r)&s)))) | (((t&j)&j)|~(((t&t)>(t>r)))) | 0 | 1 | 1 | 0 | not entailment |
((((k>t)&j)&(~(((k&k)&s))&~(r)))&~(k)) | (((~(k)&((j>k)|t))>r)>(j|t)) | 1 | 1 | 1 | 0 | entailment |
((~(((k|s)&k))>(~(~(~(r)))|r))>s) | (j>s) | 1 | 1 | 0 | 0 | entailment |
((((k>t)&j)&(~(((k&k)&s))&~(r)))&~(k)) | (j>s) | 0 | 1 | 1 | 0 | not entailment |
((~(((k|s)&k))>(~(~(~(r)))|r))>s) | (((~(k)&((j>k)|t))>r)>(j|t)) | 0 | 1 | 0 | 0 | not entailment |
((~(r)>(s&j))|j) | (~(j)>~((((s&j)>((k>t)&t))&((r|r)>j)))) | 1 | 0 | 0 | 0 | entailment |
((s&(s&k))&(j>~(~(~(k))))) | ((j&k)|((k&~((s>s)))|(s|j))) | 1 | 1 | 1 | 0 | entailment |
((~(r)>(s&j))|j) | ((j&k)|((k&~((s>s)))|(s|j))) | 0 | 0 | 0 | 0 | not entailment |
((s&(s&k))&(j>~(~(~(k))))) | (~(j)>~((((s&j)>((k>t)&t))&((r|r)>j)))) | 0 | 0 | 0 | 0 | not entailment |
~((k|s)) | ((k|t)>~(~(((s>t)|~(((t|j)|(j|s))))))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(~(k)))) | (~((j|k))>(r|(t|s))) | 1 | 0 | 0 | 0 | entailment |
~((k|s)) | (~((j|k))>(r|(t|s))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(~(k)))) | ((k|t)>~(~(((s>t)|~(((t|j)|(j|s))))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(t))|k)) | ((t>(s|~((r|s))))|~(j)) | 1 | 0 | 0 | 0 | entailment |
((s&t)|((((k&k)|s)|j)&r)) | ((r|r)|(t|r)) | 1 | 1 | 1 | 1 | entailment |
~((~(~(t))|k)) | ((r|r)|(t|r)) | 0 | 1 | 0 | 0 | not entailment |
((s&t)|((((k&k)|s)|j)&r)) | ((t>(s|~((r|s))))|~(j)) | 0 | 1 | 1 | 0 | not entailment |
~((~(((r|t)|r))|((~(r)&j)>((t&r)&t)))) | ((~((t&k))|((r&j)>(s&(r&j))))&(j|r)) | 1 | 1 | 0 | 0 | entailment |
(~((r&(s&k)))>(s&k)) | (j>k) | 1 | 1 | 0 | 0 | entailment |
~((~(((r|t)|r))|((~(r)&j)>((t&r)&t)))) | (j>k) | 0 | 1 | 0 | 0 | not entailment |
(~((r&(s&k)))>(s&k)) | ((~((t&k))|((r&j)>(s&(r&j))))&(j|r)) | 0 | 0 | 0 | 0 | not entailment |
(~(k)&((~((t|(t&j)))>j)>(t>s))) | ((k|k)>(t&~(((k>(r&j))&~(((s&j)>j)))))) | 1 | 0 | 0 | 0 | entailment |
(s&k) | (((k|r)>((t>k)>((s|k)>(r>~(k)))))>k) | 1 | 0 | 0 | 0 | entailment |
(~(k)&((~((t|(t&j)))>j)>(t>s))) | (((k|r)>((t>k)>((s|k)>(r>~(k)))))>k) | 0 | 0 | 0 | 0 | not entailment |
(s&k) | ((k|k)>(t&~(((k>(r&j))&~(((s&j)>j)))))) | 0 | 0 | 0 | 0 | not entailment |
((r&(j|(j|s)))&(~(((t&(k|j))>t))>k)) | ((k>(r&j))|((s|s)|j)) | 1 | 1 | 1 | 1 | entailment |
(t&t) | ((((s&r)>j)>(((t&j)&t)&r))>((s&j)|t)) | 1 | 0 | 0 | 0 | entailment |
((r&(j|(j|s)))&(~(((t&(k|j))>t))>k)) | ((((s&r)>j)>(((t&j)&t)&r))>((s&j)|t)) | 0 | 1 | 1 | 0 | not entailment |
(t&t) | ((k>(r&j))|((s|s)|j)) | 0 | 0 | 0 | 0 | not entailment |
((t&s)&r) | (t>r) | 1 | 1 | 1 | 0 | entailment |
((j>j)>~((k|k))) | ~((((r&(k|s))|s)&k)) | 1 | 0 | 0 | 0 | entailment |
((t&s)&r) | ~((((r&(k|s))|s)&k)) | 0 | 0 | 0 | 0 | not entailment |
((j>j)>~((k|k))) | (t>r) | 0 | 1 | 0 | 0 | not entailment |
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