Certification Problem

Input (TPDB TRS_Standard/Various_04/02)

The rewrite relation of the following TRS is considered.

f(0,1,x) f(x,x,x) (1)
f(x,y,z) 2 (2)
0 2 (3)
1 2 (4)

Property / Task

Prove or disprove termination.

Answer / Result

Yes.

Proof (by ttt2 @ termCOMP 2023)

1 Dependency Pair Transformation

The following set of initial dependency pairs has been identified.
f#(0,1,x) f#(x,x,x) (5)

1.1 Dependency Graph Processor

The dependency pairs are split into 0 components.