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 |
---|---|---|---|---|---|---|
(((d>h)|u)&d) | (((u>k)&d)>~(((k&k)|h))) | 0 | 0 | 0 | 0 | not entailment |
(((k|d)>(k&~(((((a>a)&k)>u)&d))))&u) | ((~((h|(d&u)))>a)&~(~((u|h)))) | 0 | 1 | 0 | 0 | not entailment |
(h|d) | ((h|d)|d) | 1 | 0 | 1 | 1 | entailment |
(~((u&a))&~((~(((h|k)>(~(a)|h)))>h))) | (h>k) | 1 | 1 | 1 | 1 | entailment |
(h|d) | (h>k) | 0 | 1 | 0 | 0 | not entailment |
(~((u&a))&~((~(((h|k)>(~(a)|h)))>h))) | ((h|d)|d) | 0 | 1 | 0 | 0 | not entailment |
(h&a) | (((u>k)|~(d))|(k|a)) | 1 | 0 | 0 | 0 | entailment |
(d&(u&u)) | ((u|d)&~(~(d))) | 1 | 0 | 1 | 1 | entailment |
(h&a) | ((u|d)&~(~(d))) | 0 | 0 | 0 | 0 | not entailment |
(d&(u&u)) | (((u>k)|~(d))|(k|a)) | 0 | 0 | 0 | 0 | not entailment |
((u|d)>~((d>(a>(k>d))))) | (((k>d)|((k&h)|(d&d)))|(u>a)) | 1 | 0 | 0 | 0 | entailment |
(k&~(((k|~(h))&((~(u)|(k>a))|d)))) | ~(a) | 1 | 1 | 1 | 1 | entailment |
((u|d)>~((d>(a>(k>d))))) | ~(a) | 0 | 1 | 1 | 0 | not entailment |
(k&~(((k|~(h))&((~(u)|(k>a))|d)))) | (((k>d)|((k&h)|(d&d)))|(u>a)) | 0 | 1 | 1 | 0 | not entailment |
(((k|~(k))&h)&k) | ((k|(h|(a|h)))&h) | 1 | 1 | 0 | 0 | entailment |
(d&k) | (h>(~(u)|d)) | 1 | 0 | 0 | 0 | entailment |
(((k|~(k))&h)&k) | (h>(~(u)|d)) | 0 | 1 | 0 | 0 | not entailment |
(d&k) | ((k|(h|(a|h)))&h) | 0 | 0 | 0 | 0 | not entailment |
((a|~(h))&((d|(k&d))&h)) | (~(((k|d)|(d&d)))|(a|k)) | 1 | 1 | 1 | 0 | entailment |
(((u|~(d))|((k>d)>~(a)))&~((u>h))) | (h>((u|(d>(h>a)))>~(~(u)))) | 1 | 1 | 1 | 0 | entailment |
((a|~(h))&((d|(k&d))&h)) | (h>((u|(d>(h>a)))>~(~(u)))) | 0 | 0 | 0 | 0 | not entailment |
(((u|~(d))|((k>d)>~(a)))&~((u>h))) | (~(((k|d)|(d&d)))|(a|k)) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(((k|(a>k))|d)))) | ((d|h)>(d>k)) | 1 | 1 | 0 | 0 | entailment |
(((d|k)>u)&u) | (u&(~((((k|u)&~(d))>(a>d)))>(d>h))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((k|(a>k))|d)))) | (u&(~((((k|u)&~(d))>(a>d)))>(d>h))) | 0 | 0 | 0 | 0 | not entailment |
(((d|k)>u)&u) | ((d|h)>(d>k)) | 0 | 1 | 0 | 0 | not entailment |
(k&h) | ((~((d&~(d)))>(a>h))&h) | 1 | 0 | 0 | 0 | entailment |
(((a>u)|k)&u) | ((((k&a)|u)|(~(~(d))&h))|((a&d)&(d&k))) | 1 | 0 | 0 | 0 | entailment |
(k&h) | ((((k&a)|u)|(~(~(d))&h))|((a&d)&(d&k))) | 0 | 0 | 0 | 0 | not entailment |
(((a>u)|k)&u) | ((~((d&~(d)))>(a>h))&h) | 0 | 0 | 0 | 0 | not entailment |
(~(h)>(((k|a)|a)&(h&~(k)))) | (d>h) | 1 | 1 | 0 | 0 | entailment |
((((a&u)&h)>(a&(k&k)))>((h|a)&(d&k))) | ((d|a)&((~(u)>(h>u))|k)) | 1 | 1 | 1 | 0 | entailment |
(~(h)>(((k|a)|a)&(h&~(k)))) | ((d|a)&((~(u)>(h>u))|k)) | 0 | 1 | 0 | 0 | not entailment |
((((a&u)&h)>(a&(k&k)))>((h|a)&(d&k))) | (d>h) | 0 | 1 | 1 | 0 | not entailment |
(u|u) | (((h|a)|~(k))|(k>u)) | 1 | 0 | 0 | 0 | entailment |
((~(((d|h)&~(~(k))))>~((k|h)))|(d&u)) | (((u&(~((h&~(d)))|d))|(h>a))|k) | 1 | 1 | 0 | 0 | entailment |
(u|u) | (((u&(~((h&~(d)))|d))|(h>a))|k) | 0 | 0 | 0 | 0 | not entailment |
((~(((d|h)&~(~(k))))>~((k|h)))|(d&u)) | (((h|a)|~(k))|(k>u)) | 0 | 1 | 0 | 0 | not entailment |
~(((u>a)>~(~(~((a|(d>(u>h)))))))) | ((u>a)|h) | 1 | 1 | 1 | 1 | entailment |
((u&((k|h)|((a>((a&a)&a))>(h&d))))|d) | (k|((d>~(~((d>h))))>(h|u))) | 1 | 1 | 1 | 0 | entailment |
~(((u>a)>~(~(~((a|(d>(u>h)))))))) | (k|((d>~(~((d>h))))>(h|u))) | 0 | 1 | 0 | 0 | not entailment |
((u&((k|h)|((a>((a&a)&a))>(h&d))))|d) | ((u>a)|h) | 0 | 1 | 1 | 0 | not entailment |
(h&((((a&h)>a)>a)&(h>d))) | (~((h&a))>((u|k)|((k>d)&(k|a)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((((d>u)>k)|~((~(d)|d)))))) | ((a|((k&k)&a))>~(k)) | 1 | 1 | 0 | 0 | entailment |
(h&((((a&h)>a)>a)&(h>d))) | ((a|((k&k)&a))>~(k)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((((d>u)>k)|~((~(d)|d)))))) | (~((h&a))>((u|k)|((k>d)&(k|a)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(k)) | (u|(k|h)) | 1 | 1 | 0 | 0 | entailment |
(a&(h>h)) | (a|(d>h)) | 1 | 1 | 0 | 0 | entailment |
~(~(k)) | (a|(d>h)) | 0 | 1 | 0 | 0 | not entailment |
(a&(h>h)) | (u|(k|h)) | 0 | 1 | 0 | 0 | not entailment |
(h&~(((((k|u)|a)>a)>~(k)))) | (u|(~(a)>a)) | 1 | 1 | 1 | 0 | entailment |
(k&~((k>((a|k)>u)))) | (~(u)&(~((d>k))>~((a>k)))) | 1 | 0 | 0 | 0 | entailment |
(h&~(((((k|u)|a)>a)>~(k)))) | (~(u)&(~((d>k))>~((a>k)))) | 0 | 1 | 0 | 0 | not entailment |
(k&~((k>((a|k)>u)))) | (u|(~(a)>a)) | 0 | 1 | 1 | 0 | not entailment |
(k&~(~((k>~(((d&h)&(a|k))))))) | (k|((k>d)&u)) | 1 | 1 | 0 | 0 | entailment |
((d>h)&~(k)) | (d>(((~(u)&k)>(a|~(d)))>(k>u))) | 1 | 0 | 0 | 0 | entailment |
(k&~(~((k>~(((d&h)&(a|k))))))) | (d>(((~(u)&k)>(a|~(d)))>(k>u))) | 0 | 1 | 0 | 0 | not entailment |
((d>h)&~(k)) | (k|((k>d)&u)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(w))&(~(~((k>x)))|t)) | (((j>j)>(s&(s|t)))|w) | 1 | 1 | 0 | 0 | entailment |
(~((o>w))|(x&~(f))) | (t>(~(~((f&((j>(f&(f&f)))>t))))>(w>o))) | 1 | 0 | 0 | 0 | entailment |
(~(~(w))&(~(~((k>x)))|t)) | (t>(~(~((f&((j>(f&(f&f)))>t))))>(w>o))) | 0 | 0 | 0 | 0 | not entailment |
(~((o>w))|(x&~(f))) | (((j>j)>(s&(s|t)))|w) | 0 | 1 | 0 | 0 | not entailment |
(s&(f>w)) | (s|(((t&(t&e))&(t>t))&(x&(f&o)))) | 1 | 0 | 0 | 0 | entailment |
(((o&(p&(f>j)))&~(e))|~((p|(p>p)))) | (o|((~(w)>f)&e)) | 1 | 1 | 0 | 0 | entailment |
(s&(f>w)) | (o|((~(w)>f)&e)) | 0 | 0 | 0 | 0 | not entailment |
(((o&(p&(f>j)))&~(e))|~((p|(p>p)))) | (s|(((t&(t&e))&(t>t))&(x&(f&o)))) | 0 | 1 | 0 | 0 | not entailment |
((x&(t&x))&~((x>k))) | ~(((t|k)>k)) | 1 | 1 | 1 | 0 | entailment |
~(((j|p)|o)) | (((e&e)|p)>((~((p>s))>x)>e)) | 1 | 0 | 0 | 0 | entailment |
((x&(t&x))&~((x>k))) | (((e&e)|p)>((~((p>s))>x)>e)) | 0 | 0 | 0 | 0 | not entailment |
~(((j|p)|o)) | ~(((t|k)>k)) | 0 | 1 | 0 | 0 | not entailment |
(~((j|(k>j)))&w) | (~(((s&(o>k))&p))>(p>k)) | 1 | 0 | 0 | 0 | entailment |
~((o>w)) | (~((e|~(w)))>(x|s)) | 1 | 0 | 0 | 0 | entailment |
(~((j|(k>j)))&w) | (~((e|~(w)))>(x|s)) | 0 | 0 | 0 | 0 | not entailment |
~((o>w)) | (~(((s&(o>k))&p))>(p>k)) | 0 | 0 | 0 | 0 | not entailment |
~((x>~(k))) | ((p|f)>~(~(k))) | 1 | 0 | 0 | 0 | entailment |
~(((p&o)>~((f>~((w&x)))))) | ((o|j)>(((j|k)>(((s&p)|f)|o))|p)) | 1 | 0 | 0 | 0 | entailment |
~((x>~(k))) | ((o|j)>(((j|k)>(((s&p)|f)|o))|p)) | 0 | 0 | 0 | 0 | not entailment |
~(((p&o)>~((f>~((w&x)))))) | ((p|f)>~(~(k))) | 0 | 1 | 0 | 0 | not entailment |
(~((x&(o>w)))&(j>x)) | (j>((o>w)|((~(((t|x)|e))>w)&o))) | 1 | 0 | 0 | 0 | entailment |
~((k>(e|(f|t)))) | (e>k) | 1 | 1 | 1 | 1 | entailment |
(~((x&(o>w)))&(j>x)) | (e>k) | 0 | 1 | 0 | 0 | not entailment |
~((k>(e|(f|t)))) | (j>((o>w)|((~(((t|x)|e))>w)&o))) | 0 | 0 | 0 | 0 | not entailment |
~(((o|((f|w)&e))>o)) | ((t>e)|~(~(~(w)))) | 1 | 1 | 0 | 0 | entailment |
~((~((j&f))|(x>o))) | ((e>p)>f) | 1 | 1 | 0 | 0 | entailment |
~(((o|((f|w)&e))>o)) | ((e>p)>f) | 0 | 1 | 0 | 0 | not entailment |
~((~((j&f))|(x>o))) | ((t>e)|~(~(~(w)))) | 0 | 1 | 0 | 0 | not entailment |
(~(((w&p)|o))&e) | (((o&p)>~(j))|~((f|w))) | 1 | 0 | 0 | 0 | entailment |
~((~((w&k))|f)) | (s>k) | 1 | 1 | 0 | 0 | entailment |
(~(((w&p)|o))&e) | (s>k) | 0 | 1 | 0 | 0 | not entailment |
~((~((w&k))|f)) | (((o&p)>~(j))|~((f|w))) | 0 | 0 | 0 | 0 | not entailment |
~((~((o|(p|o)))>(f|((t&t)>~(e))))) | ((j|(f&x))|e) | 1 | 1 | 0 | 0 | entailment |
~(k) | ((~(((((w>x)>k)&(k>p))&(s&p)))&k)>(k&s)) | 1 | 0 | 0 | 0 | entailment |
~((~((o|(p|o)))>(f|((t&t)>~(e))))) | ((~(((((w>x)>k)&(k>p))&(s&p)))&k)>(k&s)) | 0 | 0 | 0 | 0 | not entailment |
~(k) | ((j|(f&x))|e) | 0 | 0 | 0 | 0 | not entailment |
(((x|(o>t))|(s&(s&f)))&(e&w)) | (~(t)|(((f|k)&f)|e)) | 1 | 1 | 0 | 0 | entailment |
(~((k|((w&x)>f)))&(~(p)&(s>(s&~(f))))) | ((~(e)&(w&k))|((f|x)&~((s&p)))) | 1 | 1 | 0 | 0 | entailment |
(((x|(o>t))|(s&(s&f)))&(e&w)) | ((~(e)&(w&k))|((f|x)&~((s&p)))) | 0 | 0 | 0 | 0 | not entailment |
(~((k|((w&x)>f)))&(~(p)&(s>(s&~(f))))) | (~(t)|(((f|k)&f)|e)) | 0 | 1 | 0 | 0 | not entailment |
~(((((w>w)|j)&s)>(~(f)|p))) | ((f&~(e))>~(p)) | 1 | 1 | 0 | 0 | entailment |
(t&(w&s)) | (x>w) | 1 | 1 | 0 | 0 | entailment |
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