3.05/1.55 WORST_CASE(NON_POLY, ?) 3.05/1.56 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.05/1.56 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.05/1.56 3.05/1.56 3.05/1.56 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.05/1.56 3.05/1.56 (0) Name of obligation not specified 3.05/1.56 (1) ExtraVarProof [FINISHED, 0 ms] 3.05/1.56 (2) BOUNDS(INF, INF) 3.05/1.56 3.05/1.56 3.05/1.56 ---------------------------------------- 3.05/1.56 3.05/1.56 (0) 3.05/1.56 Obligation: 3.05/1.56 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.05/1.56 3.05/1.56 3.05/1.56 The TRS R consists of the following rules: 3.05/1.56 3.05/1.56 U11(tt) -> N 3.05/1.56 U21(tt) -> s(plus(N, M)) 3.05/1.56 and(tt) -> X 3.05/1.56 isNat -> tt 3.05/1.56 isNat -> and(isNat) 3.05/1.56 isNat -> isNat 3.05/1.56 plus(N, 0) -> U11(isNat) 3.05/1.56 plus(N, s(M)) -> U21(and(isNat)) 3.05/1.56 3.05/1.56 3.05/1.56 ---------------------------------------- 3.05/1.56 3.05/1.56 (1) ExtraVarProof (FINISHED) 3.05/1.56 unbounded runtime complexity due to extra variable on rhs 3.05/1.56 ---------------------------------------- 3.05/1.56 3.05/1.56 (2) 3.05/1.56 BOUNDS(INF, INF) 3.18/1.59 EOF