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))) | (a|z) | 0 | 1 | 0 | 0 | not entailment |
~((a>(~(z)|~((a>a))))) | (((a|(((k&w)>r)|(r&~((k|w)))))|w)>(a|w)) | 1 | 0 | 0 | 0 | entailment |
~((((k&a)&(f|z))&z)) | ~((~(~((z&((w>~(r))&a))))&(z&k))) | 1 | 0 | 0 | 0 | entailment |
~((a>(~(z)|~((a>a))))) | ~((~(~((z&((w>~(r))&a))))&(z&k))) | 0 | 0 | 0 | 0 | not entailment |
~((((k&a)&(f|z))&z)) | (((a|(((k&w)>r)|(r&~((k|w)))))|w)>(a|w)) | 0 | 0 | 0 | 0 | not entailment |
(c&(x|c)) | (c|(((n>t)>c)|((x&x)|s))) | 1 | 0 | 0 | 0 | entailment |
((~(x)>n)&(n|(b&n))) | (~((n&(s&n)))>n) | 1 | 1 | 0 | 0 | entailment |
(c&(x|c)) | (~((n&(s&n)))>n) | 0 | 0 | 0 | 0 | not entailment |
((~(x)>n)&(n|(b&n))) | (c|(((n>t)>c)|((x&x)|s))) | 0 | 0 | 0 | 0 | not entailment |
(b&x) | (~((~(t)>x))|(b>(x|s))) | 1 | 0 | 0 | 0 | entailment |
(n&~((t&(n&(b>c))))) | ((n|(t>n))|~((x|(t>c)))) | 1 | 0 | 0 | 0 | entailment |
(b&x) | ((n|(t>n))|~((x|(t>c)))) | 0 | 0 | 0 | 0 | not entailment |
(n&~((t&(n&(b>c))))) | (~((~(t)>x))|(b>(x|s))) | 0 | 0 | 0 | 0 | not entailment |
~((((b|b)|n)|(n&s))) | ((b|(n&~((((x|(c&b))&(b|c))>t))))>(c|t)) | 1 | 0 | 0 | 0 | entailment |
(n&s) | (c|(t|s)) | 1 | 0 | 0 | 0 | entailment |
~((((b|b)|n)|(n&s))) | (c|(t|s)) | 0 | 1 | 0 | 0 | not entailment |
(n&s) | ((b|(n&~((((x|(c&b))&(b|c))>t))))>(c|t)) | 0 | 0 | 0 | 0 | not entailment |
~((~(((t&~(x))>(x|c)))>(((s&b)&t)|b))) | ~((t>((c&(x|c))&(x&s)))) | 1 | 1 | 1 | 1 | entailment |
~(((c|c)>n)) | (~((~(c)>x))>((t&(x>(n|b)))&(n|n))) | 1 | 0 | 0 | 0 | entailment |
~((~(((t&~(x))>(x|c)))>(((s&b)&t)|b))) | (~((~(c)>x))>((t&(x>(n|b)))&(n|n))) | 0 | 1 | 0 | 0 | not entailment |
~(((c|c)>n)) | ~((t>((c&(x|c))&(x&s)))) | 0 | 0 | 0 | 0 | not entailment |
(s&(c|~(c))) | ((n&(~(c)|c))>~((~(s)&~(x)))) | 1 | 0 | 0 | 0 | entailment |
(t&(b>t)) | (~(((~(t)>c)>(s&(x&c))))|~(~(c))) | 1 | 0 | 0 | 0 | entailment |
(s&(c|~(c))) | (~(((~(t)>c)>(s&(x&c))))|~(~(c))) | 0 | 0 | 0 | 0 | not entailment |
(t&(b>t)) | ((n&(~(c)|c))>~((~(s)&~(x)))) | 0 | 0 | 0 | 0 | not entailment |
(((((s|c)&b)&(b>((x|s)|t)))>~(s))>x) | (c|(b|(x|(~(t)>(b&n))))) | 1 | 1 | 0 | 0 | entailment |
~(((s&~((b|(c|(c|b)))))|b)) | (b>t) | 1 | 1 | 0 | 0 | entailment |
(((((s|c)&b)&(b>((x|s)|t)))>~(s))>x) | (b>t) | 0 | 1 | 1 | 1 | not entailment |
~(((s&~((b|(c|(c|b)))))|b)) | (c|(b|(x|(~(t)>(b&n))))) | 0 | 1 | 0 | 0 | not entailment |
~(((~(n)|~(b))>((c|c)>b))) | (b>s) | 1 | 1 | 0 | 0 | entailment |
((x&((b|s)&((t>t)>n)))&((x&t)&(x|(s|s)))) | (n|~((s|n))) | 1 | 1 | 1 | 0 | entailment |
~(((~(n)|~(b))>((c|c)>b))) | (n|~((s|n))) | 0 | 1 | 0 | 0 | not entailment |
((x&((b|s)&((t>t)>n)))&((x&t)&(x|(s|s)))) | (b>s) | 0 | 1 | 1 | 0 | not entailment |
(s&(t|(n&b))) | ((b|(t&(x|(b&(s|c)))))|(s&t)) | 1 | 0 | 0 | 0 | entailment |
(((n>b)>(x>t))&((n|n)&((x|b)|(s>b)))) | (n|((~(b)&(b>c))>c)) | 1 | 1 | 0 | 0 | entailment |
(s&(t|(n&b))) | (n|((~(b)&(b>c))>c)) | 0 | 0 | 0 | 0 | not entailment |
(((n>b)>(x>t))&((n|n)&((x|b)|(s>b)))) | ((b|(t&(x|(b&(s|c)))))|(s&t)) | 0 | 1 | 0 | 0 | not entailment |
~((s>t)) | ((s|c)|t) | 1 | 1 | 0 | 0 | entailment |
(b&(n>x)) | (~((c>((s|t)>((s|s)&c))))|b) | 1 | 0 | 0 | 0 | entailment |
~((s>t)) | (~((c>((s|t)>((s|s)&c))))|b) | 0 | 0 | 0 | 0 | not entailment |
(b&(n>x)) | ((s|c)|t) | 0 | 1 | 0 | 0 | not entailment |
(~(x)|(c&~(c))) | ((~((s|x))|(c|((s>s)&s)))|n) | 1 | 0 | 0 | 0 | entailment |
~(~(((t&x)&((c>~(b))|c)))) | (((b|s)&n)|(x|n)) | 1 | 1 | 0 | 0 | entailment |
(~(x)|(c&~(c))) | (((b|s)&n)|(x|n)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((t&x)&((c>~(b))|c)))) | ((~((s|x))|(c|((s>s)&s)))|n) | 0 | 1 | 0 | 0 | not entailment |
~((((((x&s)|s)|c)|x)>(c|(((n>n)&s)|s)))) | ~((~((x|n))|~(x))) | 1 | 1 | 1 | 1 | entailment |
~(((~(~(t))|(t&x))|~(c))) | ((~(n)&b)>c) | 1 | 1 | 0 | 0 | entailment |
~((((((x&s)|s)|c)|x)>(c|(((n>n)&s)|s)))) | ((~(n)&b)>c) | 0 | 1 | 0 | 0 | not entailment |
~(((~(~(t))|(t&x))|~(c))) | ~((~((x|n))|~(x))) | 0 | 1 | 0 | 0 | not entailment |
(x&n) | ((~(s)&t)>(t>(b|(n|n)))) | 1 | 0 | 0 | 0 | entailment |
(~((((x|t)>~(b))&(~((x|n))&t)))>~(s)) | (s>t) | 1 | 1 | 1 | 1 | entailment |
(x&n) | (s>t) | 0 | 1 | 0 | 0 | not entailment |
(~((((x|t)>~(b))&(~((x|n))&t)))>~(s)) | ((~(s)&t)>(t>(b|(n|n)))) | 0 | 1 | 1 | 0 | not entailment |
~((~(x)>~(((x|(b>b))|t)))) | ~((c&(((c|t)>s)&x))) | 1 | 1 | 0 | 0 | entailment |
(((c&(x>b))&(s|t))&(s>t)) | (~(s)|c) | 1 | 1 | 1 | 1 | entailment |
~((~(x)>~(((x|(b>b))|t)))) | (~(s)|c) | 0 | 1 | 0 | 0 | not entailment |
(((c&(x>b))&(s|t))&(s>t)) | ~((c&(((c|t)>s)&x))) | 0 | 1 | 1 | 0 | not entailment |
((k|r)&(t&l)) | ((q&~(((k|o)>l)))>k) | 1 | 0 | 0 | 0 | entailment |
~((((k&q)|~((z|s)))&(z>t))) | (z|s) | 1 | 1 | 1 | 1 | entailment |
((k|r)&(t&l)) | (z|s) | 0 | 1 | 0 | 0 | not entailment |
~((((k&q)|~((z|s)))&(z>t))) | ((q&~(((k|o)>l)))>k) | 0 | 1 | 0 | 0 | not entailment |
((((z>(a|a))&k)&t)|t) | (t|~((z&a))) | 1 | 1 | 1 | 0 | entailment |
((((t|(r|q))&(s|q))>(z&s))&(q&a)) | ((s|z)|l) | 1 | 1 | 0 | 0 | entailment |
((((z>(a|a))&k)&t)|t) | ((s|z)|l) | 0 | 1 | 0 | 0 | not entailment |
((((t|(r|q))&(s|q))>(z&s))&(q&a)) | (t|~((z&a))) | 0 | 1 | 1 | 0 | not entailment |
~((((l&t)&(l>a))>~((a|(r&l))))) | ((~((r>a))>~(~((r&c))))|s) | 1 | 1 | 0 | 0 | entailment |
((a|k)>(l>q)) | (((r>r)>(c>q))|((l&(r|k))>r)) | 1 | 0 | 0 | 0 | entailment |
~((((l&t)&(l>a))>~((a|(r&l))))) | (((r>r)>(c>q))|((l&(r|k))>r)) | 0 | 1 | 0 | 0 | not entailment |
((a|k)>(l>q)) | ((~((r>a))>~(~((r&c))))|s) | 0 | 0 | 0 | 0 | not entailment |
((((k&~(l))>o)&(s|z))&~(~((q&(o>l))))) | (q|(r|t)) | 1 | 1 | 0 | 0 | entailment |
~(~(((c&l)&(s>s)))) | ((~(c)&r)>c) | 1 | 1 | 0 | 0 | entailment |
((((k&~(l))>o)&(s|z))&~(~((q&(o>l))))) | ((~(c)&r)>c) | 0 | 1 | 0 | 0 | not entailment |
~(~(((c&l)&(s>s)))) | (q|(r|t)) | 0 | 1 | 0 | 0 | not entailment |
((r>c)&a) | ((t>q)>(a|t)) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((q&~(c))>~((r&((s>o)|s))))))) | ((r>q)>((t&l)|r)) | 1 | 1 | 0 | 0 | entailment |
((r>c)&a) | ((r>q)>((t&l)|r)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((q&~(c))>~((r&((s>o)|s))))))) | ((t>q)>(a|t)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((a|(((((q>(t>l))&q)>q)&k)>s))))) | (s>(~((z&r))>((r&k)>((k&l)|(s&o))))) | 1 | 1 | 0 | 0 | entailment |
((o|(~(l)>q))&r) | ~(~((((c&(k>a))|(z>r))|~((q&k))))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((a|(((((q>(t>l))&q)>q)&k)>s))))) | ~(~((((c&(k>a))|(z>r))|~((q&k))))) | 0 | 1 | 0 | 0 | not entailment |
((o|(~(l)>q))&r) | (s>(~((z&r))>((r&k)>((k&l)|(s&o))))) | 0 | 0 | 0 | 0 | not entailment |
((o&(k>~(r)))&(t>((~(t)>a)>(k>(c>a))))) | (~(q)|(s>(~(k)|o))) | 1 | 1 | 0 | 0 | entailment |
((s|z)&(k&((s&~(z))>(~(l)>(t&s))))) | (c|(k|((~(~(~(a)))|(s|o))>~((q>t))))) | 1 | 0 | 0 | 0 | entailment |
((o&(k>~(r)))&(t>((~(t)>a)>(k>(c>a))))) | (c|(k|((~(~(~(a)))|(s|o))>~((q>t))))) | 0 | 1 | 0 | 0 | not entailment |
((s|z)&(k&((s&~(z))>(~(l)>(t&s))))) | (~(q)|(s>(~(k)|o))) | 0 | 1 | 0 | 0 | not entailment |
((~(t)&(r>l))&~(~((~(~(~(s)))&r)))) | (~((((a|a)>q)>((t>r)>l)))>a) | 1 | 1 | 0 | 0 | entailment |
(((o&z)|o)&(k&q)) | ~(~(((z>c)|(o|k)))) | 1 | 0 | 0 | 0 | entailment |
((~(t)&(r>l))&~(~((~(~(~(s)))&r)))) | ~(~(((z>c)|(o|k)))) | 0 | 1 | 0 | 0 | not entailment |
(((o&z)|o)&(k&q)) | (~((((a|a)>q)>((t>r)>l)))>a) | 0 | 0 | 0 | 0 | not entailment |
~((l>(q&t))) | ((s>t)|l) | 1 | 1 | 0 | 0 | entailment |
~(~(r)) | (q>r) | 1 | 1 | 0 | 0 | entailment |
~((l>(q&t))) | (q>r) | 0 | 1 | 0 | 0 | not entailment |
~(~(r)) | ((s>t)|l) | 0 | 1 | 0 | 0 | not entailment |
~((((~(q)>(s>s))>r)>((r>q)>s))) | ~(~((((~(((q&t)&q))|(z|(k>r)))&l)>r))) | 1 | 0 | 0 | 0 | entailment |
(~((r&o))&~(~(s))) | ((s|o)|(o|o)) | 1 | 1 | 1 | 0 | entailment |
~((((~(q)>(s>s))>r)>((r>q)>s))) | ((s|o)|(o|o)) | 0 | 1 | 0 | 0 | not entailment |
(~((r&o))&~(~(s))) | ~(~((((~(((q&t)&q))|(z|(k>r)))&l)>r))) | 0 | 0 | 0 | 0 | not entailment |
~((z>((o>o)>~((s&(~(k)|r)))))) | (z|r) | 1 | 1 | 1 | 1 | entailment |
(a&k) | (((t>r)&q)>(k|(l>(t&t)))) | 1 | 0 | 0 | 0 | entailment |
~((z>((o>o)>~((s&(~(k)|r)))))) | (((t>r)&q)>(k|(l>(t&t)))) | 0 | 1 | 0 | 0 | not entailment |
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