2.75/1.49 WORST_CASE(NON_POLY, ?) 2.75/1.50 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.75/1.50 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.75/1.50 2.75/1.50 2.75/1.50 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.75/1.50 2.75/1.50 (0) Name of obligation not specified 2.75/1.50 (1) ExtraVarProof [FINISHED, 0 ms] 2.75/1.50 (2) BOUNDS(INF, INF) 2.75/1.50 2.75/1.50 2.75/1.50 ---------------------------------------- 2.75/1.50 2.75/1.50 (0) 2.75/1.50 Obligation: 2.75/1.50 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.75/1.50 2.75/1.50 2.75/1.50 The TRS R consists of the following rules: 2.75/1.50 2.75/1.50 U31(tt) -> N 2.75/1.50 U42(tt) -> s(plus(N, M)) 2.75/1.50 U11(tt) -> U12(isNat) 2.75/1.50 U12(tt) -> tt 2.75/1.50 U21(tt) -> tt 2.75/1.50 U41(tt) -> U42(isNat) 2.75/1.50 isNat -> tt 2.75/1.50 isNat -> U11(isNat) 2.75/1.50 isNat -> U21(isNat) 2.75/1.50 plus(N, 0) -> U31(isNat) 2.75/1.50 plus(N, s(M)) -> U41(isNat) 2.75/1.50 2.75/1.50 2.75/1.50 ---------------------------------------- 2.75/1.50 2.75/1.50 (1) ExtraVarProof (FINISHED) 2.75/1.50 unbounded runtime complexity due to extra variable on rhs 2.75/1.50 ---------------------------------------- 2.75/1.50 2.75/1.50 (2) 2.75/1.50 BOUNDS(INF, INF) 2.87/1.53 EOF