NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given GTRS could be disproven: (0) GTRS (1) CritRuleProof [COMPLETE, 0 ms] (2) NO ---------------------------------------- (0) Obligation: Generalized rewrite system (where rules with free variables on rhs are allowed): The TRS R consists of the following rules: U11(tt) -> s(length(L)) and(tt) -> X zeros -> cons(0) isNat -> tt isNat -> isNatList isNat -> isNat isNatIList -> isNatList isNatIList -> tt isNatIList -> and(isNat) isNatList -> tt isNatList -> and(isNat) length(nil) -> 0 length(cons(N)) -> U11(and(isNatList)) ---------------------------------------- (1) CritRuleProof (COMPLETE) The rule U11(tt) -> s(length(L)) contains free variables in its right-hand side. Hence the TRS is not-terminating. ---------------------------------------- (2) NO