3.17/1.69 WORST_CASE(?, O(1)) 3.17/1.69 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 3.17/1.69 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.17/1.69 3.17/1.69 3.17/1.69 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). 3.17/1.69 3.17/1.69 (0) CpxIntTrs 3.17/1.69 (1) Koat2 Proof [FINISHED, 25 ms] 3.17/1.69 (2) BOUNDS(1, 1) 3.17/1.69 3.17/1.69 3.17/1.69 ---------------------------------------- 3.17/1.69 3.17/1.69 (0) 3.17/1.69 Obligation: 3.17/1.69 Complexity Int TRS consisting of the following rules: 3.17/1.69 f0(A, B) -> Com_1(f10(C, D)) :|: TRUE 3.17/1.69 3.17/1.69 The start-symbols are:[f0_2] 3.17/1.69 3.17/1.69 3.17/1.69 ---------------------------------------- 3.17/1.69 3.17/1.69 (1) Koat2 Proof (FINISHED) 3.17/1.69 YES( ?, 1 {O(1)}) 3.17/1.69 3.17/1.69 3.17/1.69 3.17/1.69 Initial Complexity Problem: 3.17/1.69 3.17/1.69 Start: f0 3.17/1.69 3.17/1.69 Program_Vars: Arg_0, Arg_1 3.17/1.69 3.17/1.69 Temp_Vars: C, D 3.17/1.69 3.17/1.69 Locations: f0, f10 3.17/1.69 3.17/1.69 Transitions: 3.17/1.69 3.17/1.69 f0(Arg_0,Arg_1) -> f10(C,D):|: 3.17/1.69 3.17/1.69 3.17/1.69 3.17/1.69 Timebounds: 3.17/1.69 3.17/1.69 Overall timebound: 1 {O(1)} 3.17/1.69 3.17/1.69 0: f0->f10: 1 {O(1)} 3.17/1.69 3.17/1.69 3.17/1.69 3.17/1.69 Costbounds: 3.17/1.69 3.17/1.69 Overall costbound: 1 {O(1)} 3.17/1.69 3.17/1.69 0: f0->f10: 1 {O(1)} 3.17/1.69 3.17/1.69 3.17/1.69 3.17/1.69 Sizebounds: 3.17/1.69 3.17/1.69 `Lower: 3.17/1.69 3.17/1.69 3.17/1.69 3.17/1.69 `Upper: 3.17/1.69 3.17/1.69 3.17/1.69 3.17/1.69 3.17/1.69 ---------------------------------------- 3.17/1.69 3.17/1.69 (2) 3.17/1.69 BOUNDS(1, 1) 3.38/1.73 EOF