3.02/1.54 WORST_CASE(NON_POLY, ?) 3.02/1.55 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.02/1.55 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.02/1.55 3.02/1.55 3.02/1.55 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.02/1.55 3.02/1.55 (0) Name of obligation not specified 3.02/1.55 (1) ExtraVarProof [FINISHED, 0 ms] 3.02/1.55 (2) BOUNDS(INF, INF) 3.02/1.55 3.02/1.55 3.02/1.55 ---------------------------------------- 3.02/1.55 3.02/1.55 (0) 3.02/1.55 Obligation: 3.02/1.55 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.02/1.55 3.02/1.55 3.02/1.55 The TRS R consists of the following rules: 3.02/1.55 3.02/1.55 U11(tt) -> s(length(L)) 3.02/1.55 U31(tt) -> cons(N) 3.02/1.55 and(tt) -> X 3.02/1.55 zeros -> cons(0) 3.02/1.55 U21(tt) -> nil 3.02/1.55 isNat -> tt 3.02/1.55 isNat -> isNatList 3.02/1.55 isNat -> isNat 3.02/1.55 isNatIList -> isNatList 3.02/1.55 isNatIList -> tt 3.02/1.55 isNatIList -> and(isNat) 3.02/1.55 isNatList -> tt 3.02/1.55 isNatList -> and(isNat) 3.02/1.55 length(nil) -> 0 3.02/1.55 length(cons(N)) -> U11(and(isNatList)) 3.02/1.55 take(0, IL) -> U21(isNatIList) 3.02/1.55 take(s(M), cons(N)) -> U31(and(isNatIList)) 3.02/1.55 3.02/1.55 3.02/1.55 ---------------------------------------- 3.02/1.55 3.02/1.55 (1) ExtraVarProof (FINISHED) 3.02/1.55 unbounded runtime complexity due to extra variable on rhs 3.02/1.55 ---------------------------------------- 3.02/1.55 3.02/1.55 (2) 3.02/1.55 BOUNDS(INF, INF) 3.14/1.59 EOF