Termination of the following Term Rewriting System could be disproven:
Generalized rewrite system (where rules with free variables on rhs are allowed):
The TRS R consists of the following rules:
if(false, X) → Y
f(X) → if(X, c)
if(true, X) → X
↳ GTRS
↳ CritRuleProof
Generalized rewrite system (where rules with free variables on rhs are allowed):
The TRS R consists of the following rules:
if(false, X) → Y
f(X) → if(X, c)
if(true, X) → X
The rule if(false, X) → Y contains free variables in its right-hand side. Hence the TRS is not-terminating.