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&(((h>(m>s))|~(w))&s))) | (s>~(s)) | 1 | 1 | 1 | 1 | entailment |
(e&f) | (s>~(s)) | 0 | 0 | 0 | 0 | not entailment |
~((s&(((h>(m>s))|~(w))&s))) | ((w&x)>((e&(e|e))|(g|t))) | 0 | 1 | 0 | 0 | not entailment |
(f&h) | (((e&e)&~(((f&x)>h)))>(~(f)|w)) | 1 | 0 | 0 | 0 | entailment |
(((g&h)>((~(e)&x)>h))>(x&~(s))) | (s>~(((m|w)>h))) | 1 | 1 | 0 | 0 | entailment |
(f&h) | (s>~(((m|w)>h))) | 0 | 0 | 0 | 0 | not entailment |
(((g&h)>((~(e)&x)>h))>(x&~(s))) | (((e&e)&~(((f&x)>h)))>(~(f)|w)) | 0 | 1 | 0 | 0 | not entailment |
((~(s)|(~((g&(f>g)))|x))>(e|g)) | (~((g|e))>t) | 1 | 1 | 0 | 0 | entailment |
~(((m|~(((w&h)>(s|f))))|(s>w))) | ~(~((~(m)|(h|(e|w))))) | 1 | 1 | 0 | 0 | entailment |
((~(s)|(~((g&(f>g)))|x))>(e|g)) | ~(~((~(m)|(h|(e|w))))) | 0 | 1 | 0 | 0 | not entailment |
~(((m|~(((w&h)>(s|f))))|(s>w))) | (~((g|e))>t) | 0 | 1 | 0 | 0 | not entailment |
(((m|h)&(x|(f|(s&e))))&((h&(m&g))&t)) | ((w>(h>s))|(e>m)) | 1 | 1 | 0 | 0 | entailment |
~((g>x)) | (x>w) | 1 | 1 | 0 | 0 | entailment |
(((m|h)&(x|(f|(s&e))))&((h&(m&g))&t)) | (x>w) | 0 | 1 | 0 | 0 | not entailment |
~((g>x)) | ((w>(h>s))|(e>m)) | 0 | 0 | 0 | 0 | not entailment |
(t&~(((m|~(w))|e))) | (m>((~(e)|e)>x)) | 1 | 1 | 0 | 0 | entailment |
(w&h) | (f|h) | 1 | 1 | 0 | 0 | entailment |
(t&~(((m|~(w))|e))) | (f|h) | 0 | 1 | 0 | 0 | not entailment |
(w&h) | (m>((~(e)|e)>x)) | 0 | 0 | 0 | 0 | not entailment |
(~(g)&(w&(e&t))) | ~(((e&g)&t)) | 1 | 1 | 1 | 0 | entailment |
(((e&s)>g)&x) | (((w&t)>(g|s))>x) | 1 | 0 | 0 | 0 | entailment |
(~(g)&(w&(e&t))) | (((w&t)>(g|s))>x) | 0 | 1 | 0 | 0 | not entailment |
(((e&s)>g)&x) | ~(((e&g)&t)) | 0 | 1 | 0 | 0 | not entailment |
((~((s&h))>((s&w)>((x|h)>f)))>e) | (((m>f)&f)>~(~((w>(e|(f>t)))))) | 1 | 1 | 0 | 0 | entailment |
(~(((((t&g)&m)>t)|~(f)))|m) | (~(m)>s) | 1 | 1 | 0 | 0 | entailment |
((~((s&h))>((s&w)>((x|h)>f)))>e) | (~(m)>s) | 0 | 1 | 0 | 0 | not entailment |
(~(((((t&g)&m)>t)|~(f)))|m) | (((m>f)&f)>~(~((w>(e|(f>t)))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((g|(g|g)))) | (~(g)>~((g>g))) | 1 | 1 | 1 | 0 | entailment |
(~(g)&~(g)) | ~(((g>g)>(g&g))) | 1 | 0 | 1 | 0 | entailment |
~(~((g|(g|g)))) | ~(((g>g)>(g&g))) | 0 | 1 | 1 | 0 | not entailment |
(~(g)&~(g)) | (~(g)>~((g>g))) | 0 | 0 | 1 | 0 | not entailment |
((g|g)|~(~((~((g|g))>g)))) | ((g>g)>g) | 1 | 1 | 1 | 0 | entailment |
~(((g|((g&g)|(g|~(g))))>g)) | (g>~((((g>g)|(g>g))|g))) | 1 | 1 | 1 | 1 | entailment |
((g|g)|~(~((~((g|g))>g)))) | (g>~((((g>g)|(g>g))|g))) | 0 | 1 | 1 | 0 | not entailment |
~(((g|((g&g)|(g|~(g))))>g)) | ((g>g)>g) | 0 | 1 | 1 | 1 | not entailment |
(g&((g>g)&(g>(g&g)))) | (g|((g&g)&((g&(g&g))|(g&g)))) | 1 | 0 | 1 | 1 | entailment |
((g>~(~((g>g))))&~(g)) | (g>~(((g&g)&((g&(g>g))|(g>g))))) | 1 | 0 | 1 | 1 | entailment |
(g&((g>g)&(g>(g&g)))) | (g>~(((g&g)&((g&(g>g))|(g>g))))) | 0 | 0 | 1 | 1 | not entailment |
((g>~(~((g>g))))&~(g)) | (g|((g&g)&((g&(g&g))|(g&g)))) | 0 | 0 | 1 | 1 | not entailment |
(g|g) | ((g&g)&(g>(~(~(g))>(g>g)))) | 1 | 0 | 1 | 0 | entailment |
~(~(~(((g|g)&g)))) | ((g>(g|g))&(g>~(((g|(g|g))|(g|g))))) | 1 | 0 | 1 | 0 | entailment |
(g|g) | ((g>(g|g))&(g>~(((g|(g|g))|(g|g))))) | 0 | 0 | 1 | 0 | not entailment |
~(~(~(((g|g)&g)))) | ((g&g)&(g>(~(~(g))>(g>g)))) | 0 | 0 | 1 | 0 | not entailment |
(h&~(~((((p|p)|(h&h))|(h|p))))) | ~(~(((p>h)|(p>(p>h))))) | 1 | 1 | 1 | 0 | entailment |
(p&(p>(~((p&h))&((p|h)&p)))) | ~(~((p|p))) | 1 | 1 | 1 | 1 | entailment |
(h&~(~((((p|p)|(h&h))|(h|p))))) | ~(~((p|p))) | 0 | 1 | 1 | 1 | not entailment |
(p&(p>(~((p&h))&((p|h)&p)))) | ~(~(((p>h)|(p>(p>h))))) | 0 | 1 | 1 | 1 | not entailment |
(h>p) | (h>p) | 1 | 1 | 1 | 1 | entailment |
(h&h) | (((h>h)&p)|(p|(h&h))) | 1 | 0 | 0 | 0 | entailment |
(h>p) | (((h>h)&p)|(p|(h&h))) | 0 | 0 | 1 | 0 | not entailment |
(h&h) | (h>p) | 0 | 1 | 0 | 0 | not entailment |
((h>p)&h) | (p&h) | 1 | 1 | 1 | 1 | entailment |
~(((p|(h|p))|h)) | (((h|p)&p)>((p>(h&p))&~(~(~(p))))) | 1 | 0 | 1 | 0 | entailment |
((h>p)&h) | (((h|p)&p)>((p>(h&p))&~(~(~(p))))) | 0 | 0 | 1 | 0 | not entailment |
~(((p|(h|p))|h)) | (p&h) | 0 | 1 | 1 | 0 | not entailment |
~(~(((h|~((p&((h|p)&(h|(h&p))))))>p))) | (h>((h>h)&(~((p|(p|p)))>((h>p)&p)))) | 1 | 1 | 1 | 1 | entailment |
~(p) | (((h>(h|h))|(p|p))&((h|p)>~((p&h)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((h|~((p&((h|p)&(h|(h&p))))))>p))) | (((h>(h|h))|(p|p))&((h|p)>~((p&h)))) | 0 | 1 | 1 | 0 | not entailment |
~(p) | (h>((h>h)&(~((p|(p|p)))>((h>p)&p)))) | 0 | 0 | 0 | 0 | not entailment |
(h|p) | (p|(~((p>h))|h)) | 1 | 0 | 1 | 0 | entailment |
((p&p)>(h&((p|h)|h))) | ~((~(h)&p)) | 1 | 1 | 1 | 1 | entailment |
(h|p) | ~((~(h)&p)) | 0 | 0 | 1 | 0 | not entailment |
((p&p)>(h&((p|h)|h))) | (p|(~((p>h))|h)) | 0 | 1 | 1 | 0 | not entailment |
(p|p) | (p|h) | 1 | 1 | 0 | 0 | entailment |
(~(~(~((h&h))))&(~(p)|h)) | (((p|(h>h))&((h&h)&~(p)))|~(h)) | 1 | 0 | 1 | 0 | entailment |
(p|p) | (((p|(h>h))&((h&h)&~(p)))|~(h)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((h&h))))&(~(p)|h)) | (p|h) | 0 | 1 | 1 | 0 | not entailment |
(p&h) | (h&(p>(h>h))) | 1 | 0 | 1 | 0 | entailment |
~(h) | ((h>p)&~(h)) | 1 | 0 | 0 | 0 | entailment |
(p&h) | ((h>p)&~(h)) | 0 | 0 | 1 | 0 | not entailment |
~(h) | (h&(p>(h>h))) | 0 | 0 | 0 | 0 | not entailment |
(~(h)&(((h&p)&p)|p)) | (h>(p|p)) | 1 | 1 | 1 | 1 | entailment |
(~((~(p)&p))>h) | (h|h) | 1 | 1 | 1 | 1 | entailment |
(~(h)&(((h&p)&p)|p)) | (h|h) | 0 | 1 | 1 | 1 | not entailment |
(~((~(p)&p))>h) | (h>(p|p)) | 0 | 1 | 1 | 0 | not entailment |
(p|p) | (~(~(p))&~(~(p))) | 1 | 0 | 1 | 1 | entailment |
(h&~(~((p|h)))) | (((h|p)&h)|((p>h)|h)) | 1 | 0 | 1 | 0 | entailment |
(p|p) | (((h|p)&h)|((p>h)|h)) | 0 | 0 | 0 | 0 | not entailment |
(h&~(~((p|h)))) | (~(~(p))&~(~(p))) | 0 | 0 | 1 | 1 | not entailment |
((~((r>r))>(~(p)>(x>z)))&n) | (((v>p)>n)>n) | 1 | 1 | 0 | 0 | entailment |
((((b>v)|b)&(z&x))&((n&r)|b)) | (z>(~(((t|d)&~(x)))|v)) | 1 | 1 | 0 | 0 | entailment |
((~((r>r))>(~(p)>(x>z)))&n) | (z>(~(((t|d)&~(x)))|v)) | 0 | 1 | 0 | 0 | not entailment |
((((b>v)|b)&(z&x))&((n&r)|b)) | (((v>p)>n)>n) | 0 | 1 | 0 | 0 | not entailment |
(((n&r)>~((x&r)))&(p&t)) | ((r|p)|(((r>p)>~(h))&b)) | 1 | 1 | 0 | 0 | entailment |
((b&h)&b) | (((~(~(x))&n)|~(n))>((b>(z>d))>b)) | 1 | 0 | 0 | 0 | entailment |
(((n&r)>~((x&r)))&(p&t)) | (((~(~(x))&n)|~(n))>((b>(z>d))>b)) | 0 | 0 | 0 | 0 | not entailment |
((b&h)&b) | ((r|p)|(((r>p)>~(h))&b)) | 0 | 0 | 0 | 0 | not entailment |
(v&(r&p)) | ~((z&~(((b|d)|(t|r))))) | 1 | 0 | 0 | 0 | entailment |
~((h|t)) | ((n&n)>(~(t)|~(p))) | 1 | 0 | 0 | 0 | entailment |
(v&(r&p)) | ((n&n)>(~(t)|~(p))) | 0 | 0 | 0 | 0 | not entailment |
~((h|t)) | ~((z&~(((b|d)|(t|r))))) | 0 | 0 | 0 | 0 | not entailment |
((~((x|d))&t)&((r>t)&h)) | (h|(v>t)) | 1 | 1 | 0 | 0 | entailment |
(((d&t)>(v&v))&((t>x)&p)) | (p|~(((z|x)>(z|t)))) | 1 | 1 | 0 | 0 | entailment |
((~((x|d))&t)&((r>t)&h)) | (p|~(((z|x)>(z|t)))) | 0 | 1 | 0 | 0 | not entailment |
(((d&t)>(v&v))&((t>x)&p)) | (h|(v>t)) | 0 | 1 | 0 | 0 | not entailment |
~(~(t)) | ~(~((~(~(((n&z)|t)))|t))) | 1 | 0 | 0 | 0 | entailment |
((z|p)&(r&h)) | ((x&((t&n)&n))>~(~((r|(h&d))))) | 1 | 0 | 0 | 0 | entailment |
~(~(t)) | ((x&((t&n)&n))>~(~((r|(h&d))))) | 0 | 0 | 0 | 0 | not entailment |
((z|p)&(r&h)) | ~(~((~(~(((n&z)|t)))|t))) | 0 | 0 | 0 | 0 | not entailment |
(~(h)&((~(x)&(x|t))&d)) | (((d|b)>~(n))>((t|(t|(n&d)))>d)) | 1 | 0 | 0 | 0 | entailment |
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