Certification Problem

Input (TPDB SRS_Standard/ICFP_2010/263745)

The rewrite relation of the following TRS is considered.

0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (1)
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (2)
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (3)
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (4)
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (5)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (6)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (7)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (8)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (9)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (10)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (11)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (12)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (13)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (14)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (15)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (16)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (17)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (18)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (19)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (20)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (21)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (22)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (23)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(0(0(0(1(1(0(1(1(1(0(1(0(0(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (24)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(0(0(0(1(1(0(1(1(1(0(1(0(0(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (25)
1(0(0(1(1(0(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(0(1(1(1(1(0(1(1(0(1(0(1(1(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (26)
1(0(0(1(1(0(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(0(1(1(1(1(0(1(1(0(1(0(1(1(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (27)
1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (28)
1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (29)
1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (30)
1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (31)
1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (32)

Property / Task

Prove or disprove termination.

Answer / Result

Yes.

Proof (by AProVE @ termCOMP 2023)

1 Closure Under Flat Contexts

Using the flat contexts

{0(☐), 1(☐)}

We obtain the transformed TRS
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (1)
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (2)
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (3)
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (4)
0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(1(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (5)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (6)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (7)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (8)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (9)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (10)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (11)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (12)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (13)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (14)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (15)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (16)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (17)
0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(0(1(1(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (18)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (19)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (20)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (21)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (22)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (23)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(0(0(0(1(1(0(1(1(1(0(1(0(0(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (24)
0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(0(0(0(1(1(0(1(1(1(0(1(0(0(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (25)
1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (30)
0(1(0(0(1(1(0(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(0(1(1(1(1(0(1(1(0(1(0(1(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (33)
1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(0(1(1(1(1(0(1(1(0(1(0(1(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (34)
0(1(0(0(1(1(0(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(0(1(1(1(1(0(1(1(0(1(0(1(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (35)
1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(1(0(1(1(1(1(0(1(1(0(1(0(1(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (36)
0(1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (37)
1(1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(1(0(0(0(0(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (38)
0(1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (39)
1(1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (40)
0(1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (41)
1(1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(0(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (42)
0(1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 0(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (43)
1(1(1(0(0(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(1(1(1(1(1(0(0(1(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 1(0(0(1(1(0(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (44)

1.1 Semantic Labeling

Root-labeling is applied.

We obtain the labeled TRS
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (45)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (46)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (47)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (48)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (49)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (50)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (51)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (52)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (53)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (54)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (55)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (56)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (57)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (58)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (59)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (60)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (61)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (62)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (63)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (64)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (65)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (66)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (67)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (68)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (69)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (70)
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00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (83)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (84)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (85)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (86)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (87)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (88)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (89)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (90)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(01(10(00(00(01(10(01(11(11(11(10(00(00(01(11(10(01(11(11(10(01(10(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (91)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(01(10(00(00(01(10(01(11(11(11(10(00(00(01(11(10(01(11(11(10(01(10(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (92)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(01(10(00(00(01(10(01(11(11(11(10(00(00(01(11(10(01(11(11(10(01(10(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (93)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(01(10(00(00(01(10(01(11(11(11(10(00(00(01(11(10(01(11(11(10(01(10(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (94)
11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (95)
11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (96)
01(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (97)
01(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (98)
11(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (99)
11(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (100)
01(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (101)
01(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (102)
11(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (103)
11(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (104)
01(11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (105)
01(11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (106)
11(11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (107)
11(11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (108)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (109)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (110)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (111)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (112)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (113)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (114)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (115)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (116)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (117)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (118)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (119)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (120)

1.1.1 Rule Removal

Using the linear polynomial interpretation over the naturals
[00(x1)] = 1 · x1 + 1
[01(x1)] = 1 · x1 + 36
[10(x1)] = 1 · x1
[11(x1)] = 1 · x1 + 17
all of the following rules can be deleted.
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (45)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (46)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (47)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (48)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (49)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (50)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (51)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (52)
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (53)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (55)
00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(10(01(10(00(01(10(00(00(00(01(11(10(01(10(01(10(01(10(00(01(11(10(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (56)
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00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (87)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (88)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (89)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(11(10(00(00(01(11(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (90)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(01(10(00(00(01(10(01(11(11(11(10(00(00(01(11(10(01(11(11(10(01(10(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (91)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(01(10(00(00(01(10(01(11(11(11(10(00(00(01(11(10(01(11(11(10(01(10(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (92)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(01(10(00(00(01(10(01(11(11(11(10(00(00(01(11(10(01(11(11(10(01(10(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (93)
00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(01(10(00(00(01(10(01(11(11(11(10(00(00(01(11(10(01(11(11(10(01(10(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (94)
11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (95)
11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (96)
01(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (97)
01(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (98)
11(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (99)
11(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (100)
01(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (101)
01(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (102)
11(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (103)
01(11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (105)
01(11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (106)
11(11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (107)
11(11(10(00(00(01(11(11(10(00(01(11(10(01(10(00(00(00(00(00(01(11(10(01(10(01(10(00(00(00(01(11(11(11(10(01(11(11(10(00(00(01(11(10(01(10(00(00(00(00(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (108)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (109)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (110)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (111)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (112)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (113)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (114)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (115)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(11(11(11(10(01(11(11(11(10(01(10(01(11(10(01(10(00(01(11(11(11(10(00(00(01(10(00(01(11(11(11(10(00(01(11(10(01(10(01(11(11(10(00(00(01(10(00(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (116)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (117)
01(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (118)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (119)
11(11(10(00(01(10(01(10(00(01(11(11(10(00(00(01(11(10(01(11(11(11(11(11(10(00(01(11(11(10(00(00(00(00(01(11(10(01(11(11(10(00(00(01(11(11(11(11(11(11(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(00(00(00(00(01(11(10(00(00(00(00(00(00(00(01(11(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (120)

1.1.1.1 Rule Removal

Using the linear polynomial interpretation over the naturals
[00(x1)] = 1 · x1
[01(x1)] = 1 · x1
[10(x1)] = 1 · x1 + 1
[11(x1)] = 1 · x1 + 1
all of the following rules can be deleted.
00(01(10(01(10(01(11(10(00(00(00(01(11(11(11(10(01(11(11(10(01(11(11(11(10(00(00(00(00(00(00(01(11(11(11(11(10(01(11(10(01(10(01(11(10(01(11(10(01(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(01(10(01(10(00(01(10(00(01(11(10(01(10(01(10(01(11(11(10(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (54)
11(10(00(01(11(10(01(11(10(00(00(00(00(01(11(10(00(01(10(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(10(01(11(11(11(10(01(11(10(01(10(01(11(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) → 10(00(01(11(10(00(01(11(10(01(11(10(00(00(00(00(01(10(00(01(10(01(10(01(11(11(10(01(10(00(01(10(00(00(01(10(00(00(01(10(00(00(00(01(10(01(11(10(01(10(01(...display limit reached...))))))))))))))))))))))))))))))))))))))))))))))))))) (104)

1.1.1.1.1 R is empty

There are no rules in the TRS. Hence, it is terminating.