Certification Problem

Input (TPDB SRS_Relative/ICFP_2010_relative/88143)

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 AProVE @ termCOMP 2023)

1 Closure Under Flat Contexts

{0(☐), 1(☐), 2(☐), 3(☐)}

1.1 Semantic Labeling

Root-labeling is applied.

There are 224 ruless (increase limit for explicit display).

1.1.1 Rule Removal

There are 201 ruless (increase limit for explicit display).

1.1.1.1 Rule Removal

1.1.1.1.1 Rule Removal

1.1.1.1.1.1 Rule Removal

1.1.1.1.1.1.1 Rule Removal

1.1.1.1.1.1.1.1 Rule Removal

1.1.1.1.1.1.1.1.1 R is empty

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