2.81/1.50 WORST_CASE(NON_POLY, ?) 2.81/1.51 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.81/1.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.81/1.51 2.81/1.51 2.81/1.51 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.81/1.51 2.81/1.51 (0) Name of obligation not specified 2.81/1.51 (1) ExtraVarProof [FINISHED, 0 ms] 2.81/1.51 (2) BOUNDS(INF, INF) 2.81/1.51 2.81/1.51 2.81/1.51 ---------------------------------------- 2.81/1.51 2.81/1.51 (0) 2.81/1.51 Obligation: 2.81/1.51 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.81/1.51 2.81/1.51 2.81/1.51 The TRS R consists of the following rules: 2.81/1.51 2.81/1.51 U12(tt) -> s(plus(N, M)) 2.81/1.51 U22(tt) -> plus(x(N, M), N) 2.81/1.51 U11(tt) -> U12(tt) 2.81/1.51 U21(tt) -> U22(tt) 2.81/1.51 plus(N, 0) -> N 2.81/1.51 plus(N, s(M)) -> U11(tt) 2.81/1.51 x(N, 0) -> 0 2.81/1.51 x(N, s(M)) -> U21(tt) 2.81/1.51 2.81/1.51 2.81/1.51 ---------------------------------------- 2.81/1.51 2.81/1.51 (1) ExtraVarProof (FINISHED) 2.81/1.51 unbounded runtime complexity due to extra variable on rhs 2.81/1.51 ---------------------------------------- 2.81/1.51 2.81/1.51 (2) 2.81/1.51 BOUNDS(INF, INF) 3.07/1.62 EOF