3.11/1.64 WORST_CASE(?, O(1)) 3.11/1.65 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 3.11/1.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.11/1.65 3.11/1.65 3.11/1.65 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). 3.11/1.65 3.11/1.65 (0) CpxIntTrs 3.11/1.65 (1) Koat2 Proof [FINISHED, 35 ms] 3.11/1.65 (2) BOUNDS(1, 1) 3.11/1.65 3.11/1.65 3.11/1.65 ---------------------------------------- 3.11/1.65 3.11/1.65 (0) 3.11/1.65 Obligation: 3.11/1.65 Complexity Int TRS consisting of the following rules: 3.11/1.65 f0(A) -> Com_1(f7(1)) :|: TRUE 3.11/1.65 3.11/1.65 The start-symbols are:[f0_1] 3.11/1.65 3.11/1.65 3.11/1.65 ---------------------------------------- 3.11/1.65 3.11/1.65 (1) Koat2 Proof (FINISHED) 3.11/1.65 YES( ?, 1 {O(1)}) 3.11/1.65 3.11/1.65 3.11/1.65 3.11/1.65 Initial Complexity Problem: 3.11/1.65 3.11/1.65 Start: f0 3.11/1.65 3.11/1.65 Program_Vars: Arg_0 3.11/1.65 3.11/1.65 Temp_Vars: 3.11/1.65 3.11/1.65 Locations: f0, f7 3.11/1.65 3.11/1.65 Transitions: 3.11/1.65 3.11/1.65 f0(Arg_0) -> f7(1):|: 3.11/1.65 3.11/1.65 3.11/1.65 3.11/1.65 Timebounds: 3.11/1.65 3.11/1.65 Overall timebound: 1 {O(1)} 3.11/1.65 3.11/1.65 0: f0->f7: 1 {O(1)} 3.11/1.65 3.11/1.65 3.11/1.65 3.11/1.65 Costbounds: 3.11/1.65 3.11/1.65 Overall costbound: 1 {O(1)} 3.11/1.65 3.11/1.65 0: f0->f7: 1 {O(1)} 3.11/1.65 3.11/1.65 3.11/1.65 3.11/1.65 Sizebounds: 3.11/1.65 3.11/1.65 `Lower: 3.11/1.65 3.11/1.65 0: f0->f7, Arg_0: 1 {O(1)} 3.11/1.65 3.11/1.65 `Upper: 3.11/1.65 3.11/1.65 0: f0->f7, Arg_0: 1 {O(1)} 3.11/1.65 3.11/1.65 3.11/1.65 ---------------------------------------- 3.11/1.65 3.11/1.65 (2) 3.11/1.65 BOUNDS(1, 1) 3.11/1.71 EOF