2.92/1.46 WORST_CASE(NON_POLY, ?) 2.92/1.47 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.92/1.47 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.92/1.47 2.92/1.47 2.92/1.47 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.92/1.47 2.92/1.47 (0) Name of obligation not specified 2.92/1.47 (1) ExtraVarProof [FINISHED, 0 ms] 2.92/1.47 (2) BOUNDS(INF, INF) 2.92/1.47 2.92/1.47 2.92/1.47 ---------------------------------------- 2.92/1.47 2.92/1.47 (0) 2.92/1.47 Obligation: 2.92/1.47 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.92/1.47 2.92/1.47 2.92/1.47 The TRS R consists of the following rules: 2.92/1.47 2.92/1.47 U31(tt) -> N 2.92/1.47 U41(tt) -> s(plus(N, M)) 2.92/1.47 and(tt) -> X 2.92/1.47 U11(tt) -> U12(isNat) 2.92/1.47 U12(tt) -> U13(isNat) 2.92/1.47 U13(tt) -> tt 2.92/1.47 U21(tt) -> U22(isNat) 2.92/1.47 U22(tt) -> tt 2.92/1.47 isNat -> tt 2.92/1.47 isNat -> U11(and(isNatKind)) 2.92/1.47 isNat -> U21(isNatKind) 2.92/1.47 isNatKind -> tt 2.92/1.47 isNatKind -> and(isNatKind) 2.92/1.47 isNatKind -> isNatKind 2.92/1.47 plus(N, 0) -> U31(and(isNat)) 2.92/1.47 plus(N, s(M)) -> U41(and(and(isNat))) 2.92/1.47 2.92/1.47 2.92/1.47 ---------------------------------------- 2.92/1.47 2.92/1.47 (1) ExtraVarProof (FINISHED) 2.92/1.47 unbounded runtime complexity due to extra variable on rhs 2.92/1.47 ---------------------------------------- 2.92/1.47 2.92/1.47 (2) 2.92/1.47 BOUNDS(INF, INF) 3.11/1.51 EOF