Certification Problem

Input (TPDB TRS_Standard/Transformed_CSR_04/Ex5_Zan97_L)

The rewrite relation of the following TRS is considered.

if(false,X) Y (1)
f(X) if(X,c) (2)
if(true,X) X (3)

Property / Task

Prove or disprove termination.

Answer / Result

No.

Proof (by AProVE @ termCOMP 2023)

1 Variable Condition Violated

The TRS violates one of the two variable conditions. Thus, it is not terminating.