3.20/1.59 WORST_CASE(NON_POLY, ?) 3.20/1.59 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.20/1.59 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.20/1.59 3.20/1.59 3.20/1.59 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.20/1.59 3.20/1.59 (0) Name of obligation not specified 3.20/1.59 (1) ExtraVarProof [FINISHED, 0 ms] 3.20/1.59 (2) BOUNDS(INF, INF) 3.20/1.59 3.20/1.59 3.20/1.59 ---------------------------------------- 3.20/1.59 3.20/1.59 (0) 3.20/1.59 Obligation: 3.20/1.59 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.20/1.59 3.20/1.59 3.20/1.59 The TRS R consists of the following rules: 3.20/1.59 3.20/1.59 U11(tt) -> s(length(L)) 3.20/1.59 and(tt) -> X 3.20/1.59 zeros -> cons(0) 3.20/1.59 isNat -> tt 3.20/1.59 isNat -> isNatList 3.20/1.59 isNat -> isNat 3.20/1.59 isNatIList -> isNatList 3.20/1.59 isNatIList -> tt 3.20/1.59 isNatIList -> and(isNat) 3.20/1.59 isNatList -> tt 3.20/1.59 isNatList -> and(isNat) 3.20/1.59 length(nil) -> 0 3.20/1.59 length(cons(N)) -> U11(and(isNatList)) 3.20/1.59 3.20/1.59 3.20/1.59 ---------------------------------------- 3.20/1.59 3.20/1.59 (1) ExtraVarProof (FINISHED) 3.20/1.59 unbounded runtime complexity due to extra variable on rhs 3.20/1.59 ---------------------------------------- 3.20/1.59 3.20/1.59 (2) 3.20/1.59 BOUNDS(INF, INF) 3.20/1.63 EOF