3.06/1.49 WORST_CASE(NON_POLY, ?) 3.06/1.50 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.06/1.50 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.06/1.50 3.06/1.50 3.06/1.50 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.06/1.50 3.06/1.50 (0) Name of obligation not specified 3.06/1.50 (1) ExtraVarProof [FINISHED, 0 ms] 3.06/1.50 (2) BOUNDS(INF, INF) 3.06/1.50 3.06/1.50 3.06/1.50 ---------------------------------------- 3.06/1.50 3.06/1.50 (0) 3.06/1.50 Obligation: 3.06/1.50 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.06/1.50 3.06/1.50 3.06/1.50 The TRS R consists of the following rules: 3.06/1.50 3.06/1.50 U61(tt) -> s(length(L)) 3.06/1.50 and(tt) -> X 3.06/1.50 zeros -> cons(0) 3.06/1.50 U11(tt) -> U12(isNatList) 3.06/1.50 U12(tt) -> tt 3.06/1.50 U21(tt) -> U22(isNat) 3.06/1.50 U22(tt) -> tt 3.06/1.50 U31(tt) -> U32(isNatList) 3.06/1.50 U32(tt) -> tt 3.06/1.50 U41(tt) -> U42(isNat) 3.06/1.50 U42(tt) -> U43(isNatIList) 3.06/1.50 U43(tt) -> tt 3.06/1.50 U51(tt) -> U52(isNat) 3.06/1.50 U52(tt) -> U53(isNatList) 3.06/1.50 U53(tt) -> tt 3.06/1.50 isNat -> tt 3.06/1.50 isNat -> U11(isNatIListKind) 3.06/1.50 isNat -> U21(isNatKind) 3.06/1.50 isNatIList -> U31(isNatIListKind) 3.06/1.50 isNatIList -> tt 3.06/1.50 isNatIList -> U41(and(isNatKind)) 3.06/1.50 isNatIListKind -> tt 3.06/1.50 isNatIListKind -> and(isNatKind) 3.06/1.50 isNatKind -> tt 3.06/1.50 isNatKind -> isNatIListKind 3.06/1.50 isNatKind -> isNatKind 3.06/1.50 isNatList -> tt 3.06/1.50 isNatList -> U51(and(isNatKind)) 3.06/1.50 length(nil) -> 0 3.06/1.50 length(cons(N)) -> U61(and(and(isNatList))) 3.06/1.50 3.06/1.50 3.06/1.50 ---------------------------------------- 3.06/1.50 3.06/1.50 (1) ExtraVarProof (FINISHED) 3.06/1.50 unbounded runtime complexity due to extra variable on rhs 3.06/1.50 ---------------------------------------- 3.06/1.50 3.06/1.50 (2) 3.06/1.50 BOUNDS(INF, INF) 3.24/1.54 EOF