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 |
---|---|---|---|---|---|---|
(t&(p&b)) | (p>t) | 1 | 1 | 1 | 0 | entailment |
(((e|o)&v)&((~((k>v))>o)>k)) | (p>t) | 0 | 1 | 0 | 0 | not entailment |
(t&(p&b)) | (e>v) | 0 | 1 | 0 | 0 | not entailment |
~(((k&(((t|v)&o)|i))|(t>(e|((k>p)|i))))) | (u|t) | 1 | 1 | 0 | 0 | entailment |
((b&((u&t)>v))&(((k|b)&(i&v))&~((u|e)))) | (~((((g|o)&v)|o))>(u>(((k|g)>b)&(i>u)))) | 1 | 1 | 0 | 0 | entailment |
~(((k&(((t|v)&o)|i))|(t>(e|((k>p)|i))))) | (~((((g|o)&v)|o))>(u>(((k|g)>b)&(i>u)))) | 0 | 1 | 0 | 0 | not entailment |
((b&((u&t)>v))&(((k|b)&(i&v))&~((u|e)))) | (u|t) | 0 | 1 | 1 | 0 | not entailment |
(~(~((~((p>b))&(k>k))))&(i>(p&v))) | (i>v) | 1 | 1 | 1 | 1 | entailment |
~((b>u)) | (o|(t|b)) | 1 | 1 | 0 | 0 | entailment |
(~(~((~((p>b))&(k>k))))&(i>(p&v))) | (o|(t|b)) | 0 | 1 | 0 | 0 | not entailment |
~((b>u)) | (i>v) | 0 | 1 | 0 | 0 | not entailment |
(v&((t>((i>o)>~(((g|u)&t))))>(e&o))) | ((b&k)|v) | 1 | 1 | 0 | 0 | entailment |
~(((b&t)>(~(b)|i))) | ~(~(~(((i&k)&((t>~(p))>e))))) | 1 | 0 | 0 | 0 | entailment |
(v&((t>((i>o)>~(((g|u)&t))))>(e&o))) | ~(~(~(((i&k)&((t>~(p))>e))))) | 0 | 1 | 0 | 0 | not entailment |
~(((b&t)>(~(b)|i))) | ((b&k)|v) | 0 | 1 | 0 | 0 | not entailment |
~(((v&(b&u))>((~(i)|~(e))&u))) | ((~(u)|v)>((k>((i|p)>b))&v)) | 1 | 1 | 0 | 0 | entailment |
((b&g)&(v|(b&(~((v|o))&((i>v)&(i>b)))))) | ((((g&t)|(o&((p|~(v))|e)))&u)|g) | 1 | 1 | 0 | 0 | entailment |
~(((v&(b&u))>((~(i)|~(e))&u))) | ((((g&t)|(o&((p|~(v))|e)))&u)|g) | 0 | 1 | 0 | 0 | not entailment |
((b&g)&(v|(b&(~((v|o))&((i>v)&(i>b)))))) | ((~(u)|v)>((k>((i|p)>b))&v)) | 0 | 1 | 0 | 0 | not entailment |
~((~(t)|(o>i))) | ((t|(i|i))|~((((p>t)&i)>(e|b)))) | 1 | 0 | 0 | 0 | entailment |
~((u>~(u))) | (~((u&~((e&i))))>~(~((i|v)))) | 1 | 0 | 0 | 0 | entailment |
~((~(t)|(o>i))) | (~((u&~((e&i))))>~(~((i|v)))) | 0 | 0 | 0 | 0 | not entailment |
~((u>~(u))) | ((t|(i|i))|~((((p>t)&i)>(e|b)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((v&b)>e)))) | ~(((e&(~((~(i)|(u&i)))&t))&(e|u))) | 1 | 0 | 0 | 0 | entailment |
((((o>v)&i)&((o>~(i))|(p>b)))&e) | (e|~(u)) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((v&b)>e)))) | (e|~(u)) | 0 | 1 | 0 | 0 | not entailment |
((((o>v)&i)&((o>~(i))|(p>b)))&e) | ~(((e&(~((~(i)|(u&i)))&t))&(e|u))) | 0 | 0 | 0 | 0 | not entailment |
(i|o) | ((u|o)>(((~(((e&v)&e))|o)|i)|((o>o)>g))) | 1 | 0 | 0 | 0 | entailment |
(b&u) | (e>(p|b)) | 1 | 0 | 0 | 0 | entailment |
(i|o) | (e>(p|b)) | 0 | 0 | 0 | 0 | not entailment |
(b&u) | ((u|o)>(((~(((e&v)&e))|o)|i)|((o>o)>g))) | 0 | 0 | 0 | 0 | not entailment |
~((((v|o)&k)>u)) | ((~((~(~(g))|~(t)))>k)|e) | 1 | 0 | 0 | 0 | entailment |
((v|o)&v) | (v|(~(~(~(((e&k)|(e|t)))))|(k>v))) | 1 | 0 | 0 | 0 | entailment |
~((((v|o)&k)>u)) | (v|(~(~(~(((e&k)|(e|t)))))|(k>v))) | 0 | 0 | 0 | 0 | not entailment |
((v|o)&v) | ((~((~(~(g))|~(t)))>k)|e) | 0 | 0 | 0 | 0 | not entailment |
((~((k>o))|u)&((t>i)&i)) | (~(((p|o)>g))>((t&e)>((t&o)|i))) | 1 | 0 | 0 | 0 | entailment |
((((~(e)|u)&(t|(u|e)))&(e|e))&u) | (((v|g)&((e|o)|~(e)))>(u&(~((b&e))|e))) | 1 | 0 | 0 | 0 | entailment |
((~((k>o))|u)&((t>i)&i)) | (((v|g)&((e|o)|~(e)))>(u&(~((b&e))|e))) | 0 | 0 | 0 | 0 | not entailment |
((((~(e)|u)&(t|(u|e)))&(e|e))&u) | (~(((p|o)>g))>((t&e)>((t&o)|i))) | 0 | 1 | 0 | 0 | not entailment |
~(((u>k)>((k&b)>((~(t)|g)>p)))) | (u|b) | 1 | 1 | 1 | 0 | entailment |
~((((e>~(((b>b)|u)))|g)|(p&e))) | (g>p) | 1 | 1 | 1 | 0 | entailment |
~(((u>k)>((k&b)>((~(t)|g)>p)))) | (g>p) | 0 | 1 | 1 | 0 | not entailment |
~((((e>~(((b>b)|u)))|g)|(p&e))) | (u|b) | 0 | 1 | 1 | 1 | not entailment |
(o&k) | (k|~((~(v)|~((o>u))))) | 1 | 0 | 0 | 0 | entailment |
(t&~(~(~(v)))) | (~((~(~(o))&v))|((g&v)>e)) | 1 | 0 | 0 | 0 | entailment |
(o&k) | (~((~(~(o))&v))|((g&v)>e)) | 0 | 0 | 0 | 0 | not entailment |
(t&~(~(~(v)))) | (k|~((~(v)|~((o>u))))) | 0 | 0 | 0 | 0 | not entailment |
(~(((b&(u&u))|u))&(~((v>i))&(o|v))) | (u>o) | 1 | 1 | 1 | 1 | entailment |
(b&((p&(b>p))&((u>b)>(t|(t>b))))) | (~(b)>(v&~(~((p|u))))) | 1 | 1 | 0 | 0 | entailment |
(~(((b&(u&u))|u))&(~((v>i))&(o|v))) | (~(b)>(v&~(~((p|u))))) | 0 | 1 | 0 | 0 | not entailment |
(b&((p&(b>p))&((u>b)>(t|(t>b))))) | (u>o) | 0 | 1 | 0 | 0 | not entailment |
~((v>((g&(o|t))|((g>(b&p))&i)))) | ~(~((~((e&~(u)))>~((i&o))))) | 1 | 1 | 0 | 0 | entailment |
(~((k|((o|(b&b))&v)))|((e>g)&t)) | ((k>t)|t) | 1 | 1 | 1 | 1 | entailment |
~((v>((g&(o|t))|((g>(b&p))&i)))) | ((k>t)|t) | 0 | 1 | 0 | 0 | not entailment |
(~((k|((o|(b&b))&v)))|((e>g)&t)) | ~(~((~((e&~(u)))>~((i&o))))) | 0 | 1 | 0 | 0 | not entailment |
~(~(u)) | (~(v)>(~(e)>u)) | 1 | 0 | 0 | 0 | entailment |
(((((e&b)|u)&i)|(g&((e|t)&i)))&~(p)) | (v>(i|~(t))) | 1 | 1 | 0 | 0 | entailment |
~(~(u)) | (v>(i|~(t))) | 0 | 0 | 0 | 0 | not entailment |
(((((e&b)|u)&i)|(g&((e|t)&i)))&~(p)) | (~(v)>(~(e)>u)) | 0 | 1 | 0 | 0 | not entailment |
~((((k&e)|(g&e))>(v>~(p)))) | ~(~((b|p))) | 1 | 1 | 0 | 0 | entailment |
~((((k>(u>~(((v>~(v))>k))))&~(v))|v)) | (b>((p&v)>g)) | 1 | 1 | 0 | 0 | entailment |
~((((k&e)|(g&e))>(v>~(p)))) | (b>((p&v)>g)) | 0 | 1 | 0 | 0 | not entailment |
~((((k>(u>~(((v>~(v))>k))))&~(v))|v)) | ~(~((b|p))) | 0 | 1 | 0 | 0 | not entailment |
~(i) | (~((((w|w)>(w>i))&i))&~(i)) | 1 | 0 | 0 | 0 | entailment |
~((s|a)) | ((w&a)>z) | 1 | 1 | 0 | 0 | entailment |
~(i) | ((w&a)>z) | 0 | 0 | 0 | 0 | not entailment |
~((s|a)) | (~((((w|w)>(w>i))&i))&~(i)) | 0 | 0 | 0 | 0 | not entailment |
((s&a)&t) | ((a|~((i|w)))|(x>a)) | 1 | 0 | 0 | 0 | entailment |
~((((x>z)|((t>i)|(a>z)))>s)) | ((z|~(((i&((i&(x>(t|z)))&s))>t)))>~(s)) | 1 | 0 | 1 | 0 | entailment |
((s&a)&t) | ((z|~(((i&((i&(x>(t|z)))&s))>t)))>~(s)) | 0 | 0 | 0 | 0 | not entailment |
~((((x>z)|((t>i)|(a>z)))>s)) | ((a|~((i|w)))|(x>a)) | 0 | 1 | 0 | 0 | not entailment |
~((a>(t>((s>i)|~(w))))) | ((z&a)|(t|s)) | 1 | 1 | 0 | 0 | entailment |
~(((i|i)>s)) | ((w>s)>i) | 1 | 1 | 0 | 0 | entailment |
~((a>(t>((s>i)|~(w))))) | ((w>s)>i) | 0 | 1 | 1 | 0 | not entailment |
~(((i|i)>s)) | ((z&a)|(t|s)) | 0 | 1 | 0 | 0 | not entailment |
(i&((a|(i&z))|i)) | ((x|((i|w)|z))|(a>x)) | 1 | 0 | 0 | 0 | entailment |
~((t>(z&x))) | ((t&w)|(~(a)>t)) | 1 | 0 | 0 | 0 | entailment |
(i&((a|(i&z))|i)) | ((t&w)|(~(a)>t)) | 0 | 1 | 0 | 0 | not entailment |
~((t>(z&x))) | ((x|((i|w)|z))|(a>x)) | 0 | 0 | 0 | 0 | not entailment |
~((((s&z)|t)|((i>t)&(i>z)))) | ((z>i)|(i|t)) | 1 | 1 | 1 | 0 | entailment |
~((a>w)) | ~(~(((a|z)|z))) | 1 | 0 | 0 | 0 | entailment |
~((((s&z)|t)|((i>t)&(i>z)))) | ~(~(((a|z)|z))) | 0 | 1 | 0 | 0 | not entailment |
~((a>w)) | ((z>i)|(i|t)) | 0 | 0 | 0 | 0 | not entailment |
~(t) | ~(((s&t)&~((z&t)))) | 1 | 0 | 0 | 0 | entailment |
(i&(s|w)) | ((z&(w&~(i)))>~((w|t))) | 1 | 0 | 0 | 0 | entailment |
~(t) | ((z&(w&~(i)))>~((w|t))) | 0 | 0 | 0 | 0 | not entailment |
(i&(s|w)) | ~(((s&t)&~((z&t)))) | 0 | 0 | 0 | 0 | not entailment |
(i&(a&~((~(s)>(a>z))))) | (a|a) | 1 | 1 | 1 | 1 | entailment |
((t>x)&(~((~(z)>(a&t)))&x)) | (((a&(s|t))&i)>((i&(a|w))>~(((a&a)&t)))) | 1 | 0 | 0 | 0 | entailment |
(i&(a&~((~(s)>(a>z))))) | (((a&(s|t))&i)>((i&(a|w))>~(((a&a)&t)))) | 0 | 0 | 0 | 0 | not entailment |
((t>x)&(~((~(z)>(a&t)))&x)) | (a|a) | 0 | 1 | 1 | 0 | not entailment |
~(~(((a&i)&z))) | ((a|(~(t)|~(~((z|(t>s))))))&(z>(a&i))) | 1 | 0 | 0 | 0 | entailment |
~(w) | ~(~((a>~(~(~(w)))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((a&i)&z))) | ~(~((a>~(~(~(w)))))) | 0 | 0 | 0 | 0 | not entailment |
~(w) | ((a|(~(t)|~(~((z|(t>s))))))&(z>(a&i))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((t|~((~(x)|t)))|((s|a)&a))))>a) | ~(((x&(s>~(i)))&~(a))) | 1 | 1 | 0 | 0 | entailment |
((w&x)&(~(x)|t)) | ((w|w)>((x|(a|z))|~((s>w)))) | 1 | 0 | 0 | 0 | entailment |
(~(~(((t|~((~(x)|t)))|((s|a)&a))))>a) | ((w|w)>((x|(a|z))|~((s>w)))) | 0 | 1 | 0 | 0 | not entailment |
((w&x)&(~(x)|t)) | ~(((x&(s>~(i)))&~(a))) | 0 | 0 | 0 | 0 | not entailment |
(((z&t)|~(~(t)))&~(((x>i)>i))) | ((s&x)>~(~((i&(~(a)|((t&x)&x)))))) | 1 | 0 | 0 | 0 | entailment |
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