3.09/1.67 WORST_CASE(?, O(1)) 3.09/1.67 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 3.09/1.67 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.09/1.67 3.09/1.67 3.09/1.67 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). 3.09/1.67 3.09/1.67 (0) CpxIntTrs 3.09/1.67 (1) Koat2 Proof [FINISHED, 0 ms] 3.09/1.67 (2) BOUNDS(1, 1) 3.09/1.67 3.09/1.67 3.09/1.67 ---------------------------------------- 3.09/1.67 3.09/1.67 (0) 3.09/1.67 Obligation: 3.09/1.67 Complexity Int TRS consisting of the following rules: 3.09/1.67 f0(A, B) -> Com_1(f5(C, C)) :|: TRUE 3.09/1.67 3.09/1.67 The start-symbols are:[f0_2] 3.09/1.67 3.09/1.67 3.09/1.67 ---------------------------------------- 3.09/1.67 3.09/1.67 (1) Koat2 Proof (FINISHED) 3.09/1.67 YES( ?, 1 {O(1)}) 3.09/1.67 3.09/1.67 3.09/1.67 3.09/1.67 Initial Complexity Problem: 3.09/1.67 3.09/1.67 Start: f0 3.09/1.67 3.09/1.67 Program_Vars: Arg_0, Arg_1 3.09/1.67 3.09/1.67 Temp_Vars: C 3.09/1.67 3.09/1.67 Locations: f0, f5 3.09/1.67 3.09/1.67 Transitions: 3.09/1.67 3.09/1.67 f0(Arg_0,Arg_1) -> f5(C,C):|: 3.09/1.67 3.09/1.67 3.09/1.67 3.09/1.67 Timebounds: 3.09/1.67 3.09/1.67 Overall timebound: 1 {O(1)} 3.09/1.67 3.09/1.67 0: f0->f5: 1 {O(1)} 3.09/1.67 3.09/1.67 3.09/1.67 3.09/1.67 Costbounds: 3.09/1.67 3.09/1.67 Overall costbound: 1 {O(1)} 3.09/1.67 3.09/1.67 0: f0->f5: 1 {O(1)} 3.09/1.67 3.09/1.67 3.09/1.67 3.09/1.67 Sizebounds: 3.09/1.67 3.09/1.67 `Lower: 3.09/1.67 3.09/1.67 3.09/1.67 3.09/1.67 `Upper: 3.09/1.67 3.09/1.67 3.09/1.67 3.09/1.67 3.09/1.67 ---------------------------------------- 3.09/1.67 3.09/1.67 (2) 3.09/1.67 BOUNDS(1, 1) 3.09/1.70 EOF