Certification Problem

Input (TPDB SRS_Relative/ICFP_2010_relative/124269)

The relative rewrite relation R/S is considered where R is the following TRS

and S is the following TRS.

Property / Task

Answer / Result

Proof (by matchbox @ termCOMP 2023)

1 Closure Under Flat Contexts

{5(☐), 4(☐), 3(☐), 2(☐), 1(☐), 0(☐)}

There are 576 ruless (increase limit for explicit display).

1.1 Semantic Labeling

As carrier we take the set {0,...,5}. Symbols are labeled by the interpretation of their arguments using the interpretations (modulo 6):

There are 3456 ruless (increase limit for explicit display).

1.1.1 Rule Removal

There are 3456 ruless (increase limit for explicit display).

1.1.1.1 R is empty

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