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(true) → X
if(false) → Y
minus0
minusminus
geqtrue
geqfalse
geqgeq
div(0) → 0
div(s(X)) → if(geq)



GTRS
  ↳ CritRuleProof

Generalized rewrite system (where rules with free variables on rhs are allowed):
The TRS R consists of the following rules:

if(true) → X
if(false) → Y
minus0
minusminus
geqtrue
geqfalse
geqgeq
div(0) → 0
div(s(X)) → if(geq)


The rule if(true) → X contains free variables in its right-hand side. Hence the TRS is not-terminating.