4.30/1.99 WORST_CASE(?, O(1)) 4.30/2.00 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 4.30/2.00 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.30/2.00 4.30/2.00 4.30/2.00 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). 4.30/2.00 4.30/2.00 (0) CpxIntTrs 4.30/2.00 (1) Koat Proof [FINISHED, 317 ms] 4.30/2.00 (2) BOUNDS(1, 1) 4.30/2.00 4.30/2.00 4.30/2.00 ---------------------------------------- 4.30/2.00 4.30/2.00 (0) 4.30/2.00 Obligation: 4.30/2.00 Complexity Int TRS consisting of the following rules: 4.30/2.00 f0(A, B, C, D, E, F, G) -> Com_1(f15(0, H, I, 0, E, F, G)) :|: TRUE 4.30/2.00 f15(A, B, C, D, E, F, G) -> Com_1(f15(A, B, C, D + 1, E, F, G)) :|: 49 >= D 4.30/2.00 f25(A, B, C, D, E, F, G) -> Com_1(f25(A, B, C, D, E + 1, F, G)) :|: 49 >= E 4.30/2.00 f33(A, B, C, D, E, F, G) -> Com_1(f33(A + 1, B, C, D, E, F, G)) :|: 49 >= A 4.30/2.00 f42(A, B, C, D, E, F, G) -> Com_1(f42(A, B, C, D, E, F + 1, G)) :|: 49 >= F 4.30/2.00 f52(A, B, C, D, E, F, G) -> Com_1(f52(A, B, C, D, E, F, G + 1)) :|: 49 >= G 4.30/2.00 f60(A, B, C, D, E, F, G) -> Com_1(f60(A + 1, B, C, D, E, F, G)) :|: 49 >= A 4.30/2.00 f60(A, B, C, D, E, F, G) -> Com_1(f69(A, B, C, D, E, F, G)) :|: A >= 50 4.30/2.00 f52(A, B, C, D, E, F, G) -> Com_1(f60(0, B, C, D, E, F, G)) :|: G >= 50 4.30/2.00 f42(A, B, C, D, E, F, G) -> Com_1(f52(A, B, C, D, E, F, 0)) :|: F >= 50 4.30/2.00 f33(A, B, C, D, E, F, G) -> Com_1(f42(A, B, C, D, E, 0, G)) :|: A >= 50 4.30/2.00 f25(A, B, C, D, E, F, G) -> Com_1(f33(0, B, C, D, E, F, G)) :|: E >= 50 4.30/2.00 f15(A, B, C, D, E, F, G) -> Com_1(f25(A, B, C, D, 0, F, G)) :|: D >= 50 4.30/2.00 4.30/2.00 The start-symbols are:[f0_7] 4.30/2.00 4.30/2.00 4.30/2.00 ---------------------------------------- 4.30/2.00 4.30/2.00 (1) Koat Proof (FINISHED) 4.30/2.00 YES(?, 587) 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 Initial complexity problem: 4.30/2.00 4.30/2.00 1: T: 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, h, i, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f52(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f52(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_1, ar_2, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_1, ar_2, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [ar_0, ar_3, ar_4, ar_5, ar_6]. 4.30/2.00 4.30/2.00 We thus obtain the following problem: 4.30/2.00 4.30/2.00 2: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 Repeatedly propagating knowledge in problem 2 produces the following problem: 4.30/2.00 4.30/2.00 3: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 A polynomial rank function with 4.30/2.00 4.30/2.00 Pol(koat_start) = 6 4.30/2.00 4.30/2.00 Pol(f0) = 6 4.30/2.00 4.30/2.00 Pol(f15) = 6 4.30/2.00 4.30/2.00 Pol(f25) = 5 4.30/2.00 4.30/2.00 Pol(f33) = 4 4.30/2.00 4.30/2.00 Pol(f42) = 3 4.30/2.00 4.30/2.00 Pol(f52) = 2 4.30/2.00 4.30/2.00 Pol(f60) = 1 4.30/2.00 4.30/2.00 Pol(f69) = 0 4.30/2.00 4.30/2.00 orients all transitions weakly and the transitions 4.30/2.00 4.30/2.00 f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 strictly and produces the following problem: 4.30/2.00 4.30/2.00 4: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 A polynomial rank function with 4.30/2.00 4.30/2.00 Pol(koat_start) = 50 4.30/2.00 4.30/2.00 Pol(f0) = 50 4.30/2.00 4.30/2.00 Pol(f15) = 50 4.30/2.00 4.30/2.00 Pol(f25) = 50 4.30/2.00 4.30/2.00 Pol(f33) = 50 4.30/2.00 4.30/2.00 Pol(f42) = 50 4.30/2.00 4.30/2.00 Pol(f52) = 50 4.30/2.00 4.30/2.00 Pol(f60) = -V_1 + 50 4.30/2.00 4.30/2.00 Pol(f69) = -V_1 4.30/2.00 4.30/2.00 orients all transitions weakly and the transition 4.30/2.00 4.30/2.00 f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 strictly and produces the following problem: 4.30/2.00 4.30/2.00 5: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 A polynomial rank function with 4.30/2.00 4.30/2.00 Pol(koat_start) = 50 4.30/2.00 4.30/2.00 Pol(f0) = 50 4.30/2.00 4.30/2.00 Pol(f15) = 50 4.30/2.00 4.30/2.00 Pol(f25) = 50 4.30/2.00 4.30/2.00 Pol(f33) = 50 4.30/2.00 4.30/2.00 Pol(f42) = 50 4.30/2.00 4.30/2.00 Pol(f52) = -V_5 + 50 4.30/2.00 4.30/2.00 Pol(f60) = -V_5 4.30/2.00 4.30/2.00 Pol(f69) = -V_5 4.30/2.00 4.30/2.00 orients all transitions weakly and the transition 4.30/2.00 4.30/2.00 f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 strictly and produces the following problem: 4.30/2.00 4.30/2.00 6: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 A polynomial rank function with 4.30/2.00 4.30/2.00 Pol(koat_start) = 50 4.30/2.00 4.30/2.00 Pol(f0) = 50 4.30/2.00 4.30/2.00 Pol(f15) = 50 4.30/2.00 4.30/2.00 Pol(f25) = 50 4.30/2.00 4.30/2.00 Pol(f33) = 50 4.30/2.00 4.30/2.00 Pol(f42) = -V_4 + 50 4.30/2.00 4.30/2.00 Pol(f52) = -V_4 4.30/2.00 4.30/2.00 Pol(f60) = -V_4 4.30/2.00 4.30/2.00 Pol(f69) = -V_4 4.30/2.00 4.30/2.00 orients all transitions weakly and the transition 4.30/2.00 4.30/2.00 f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 strictly and produces the following problem: 4.30/2.00 4.30/2.00 7: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 A polynomial rank function with 4.30/2.00 4.30/2.00 Pol(koat_start) = 50 4.30/2.00 4.30/2.00 Pol(f0) = 50 4.30/2.00 4.30/2.00 Pol(f15) = 50 4.30/2.00 4.30/2.00 Pol(f25) = -V_3 + 50 4.30/2.00 4.30/2.00 Pol(f33) = -V_3 4.30/2.00 4.30/2.00 Pol(f42) = -V_3 4.30/2.00 4.30/2.00 Pol(f52) = -V_3 4.30/2.00 4.30/2.00 Pol(f60) = -V_3 4.30/2.00 4.30/2.00 Pol(f69) = -V_3 4.30/2.00 4.30/2.00 orients all transitions weakly and the transition 4.30/2.00 4.30/2.00 f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 strictly and produces the following problem: 4.30/2.00 4.30/2.00 8: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 A polynomial rank function with 4.30/2.00 4.30/2.00 Pol(koat_start) = 50 4.30/2.00 4.30/2.00 Pol(f0) = 50 4.30/2.00 4.30/2.00 Pol(f15) = -V_2 + 50 4.30/2.00 4.30/2.00 Pol(f25) = -V_2 4.30/2.00 4.30/2.00 Pol(f33) = -V_2 4.30/2.00 4.30/2.00 Pol(f42) = -V_2 4.30/2.00 4.30/2.00 Pol(f52) = -V_2 4.30/2.00 4.30/2.00 Pol(f60) = -V_2 4.30/2.00 4.30/2.00 Pol(f69) = -V_2 4.30/2.00 4.30/2.00 orients all transitions weakly and the transition 4.30/2.00 4.30/2.00 f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 strictly and produces the following problem: 4.30/2.00 4.30/2.00 9: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: ?, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 A polynomial rank function with 4.30/2.00 4.30/2.00 Pol(f33) = -V_1 + 50 4.30/2.00 4.30/2.00 and size complexities 4.30/2.00 4.30/2.00 S("f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6))", 0-0) = 0 4.30/2.00 4.30/2.00 S("f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6))", 0-1) = 0 4.30/2.00 4.30/2.00 S("f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6))", 0-2) = ar_4 4.30/2.00 4.30/2.00 S("f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6))", 0-3) = ar_5 4.30/2.00 4.30/2.00 S("f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6))", 0-4) = ar_6 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ]", 0-0) = 0 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ]", 0-2) = ar_4 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ]", 0-3) = ar_5 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ]", 0-4) = ar_6 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ]", 0-0) = 0 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ]", 0-3) = ar_5 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ]", 0-4) = ar_6 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-0) = 50 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-3) = ar_5 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-4) = ar_6 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ]", 0-0) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ]", 0-3) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ]", 0-4) = ar_6 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ]", 0-0) = 50 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ]", 0-3) = 50 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ]", 0-4) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-0) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-3) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ]", 0-4) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ]", 0-0) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ]", 0-3) = 50 4.30/2.00 4.30/2.00 S("f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ]", 0-4) = 50 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ]", 0-0) = 0 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ]", 0-3) = 50 4.30/2.00 4.30/2.00 S("f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ]", 0-4) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ]", 0-0) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ]", 0-3) = 50 4.30/2.00 4.30/2.00 S("f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ]", 0-4) = 0 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ]", 0-0) = 50 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ]", 0-3) = 0 4.30/2.00 4.30/2.00 S("f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ]", 0-4) = ar_6 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ]", 0-0) = 0 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ]", 0-2) = 50 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ]", 0-3) = ar_5 4.30/2.00 4.30/2.00 S("f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ]", 0-4) = ar_6 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ]", 0-0) = 0 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ]", 0-1) = 50 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ]", 0-2) = 0 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ]", 0-3) = ar_5 4.30/2.00 4.30/2.00 S("f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ]", 0-4) = ar_6 4.30/2.00 4.30/2.00 S("koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-0) = ar_0 4.30/2.00 4.30/2.00 S("koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-1) = ar_3 4.30/2.00 4.30/2.00 S("koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-2) = ar_4 4.30/2.00 4.30/2.00 S("koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-3) = ar_5 4.30/2.00 4.30/2.00 S("koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-4) = ar_6 4.30/2.00 4.30/2.00 orients the transitions 4.30/2.00 4.30/2.00 f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 weakly and the transition 4.30/2.00 4.30/2.00 f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 strictly and produces the following problem: 4.30/2.00 4.30/2.00 10: T: 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 0) koat_start(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, 0, ar_5, ar_6)) [ ar_3 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(0, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, 0, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, 0)) [ ar_5 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(0, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 6, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f69(ar_0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 50 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f60(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f60(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f52(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f52(ar_0, ar_3, ar_4, ar_5, ar_6 + 1)) [ 49 >= ar_6 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f42(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f42(ar_0, ar_3, ar_4, ar_5 + 1, ar_6)) [ 49 >= ar_5 ] 4.30/2.00 4.30/2.00 (Comp: 300, Cost: 1) f33(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f33(ar_0 + 1, ar_3, ar_4, ar_5, ar_6)) [ 49 >= ar_0 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f25(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f25(ar_0, ar_3, ar_4 + 1, ar_5, ar_6)) [ 49 >= ar_4 ] 4.30/2.00 4.30/2.00 (Comp: 50, Cost: 1) f15(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(ar_0, ar_3 + 1, ar_4, ar_5, ar_6)) [ 49 >= ar_3 ] 4.30/2.00 4.30/2.00 (Comp: 1, Cost: 1) f0(ar_0, ar_3, ar_4, ar_5, ar_6) -> Com_1(f15(0, 0, ar_4, ar_5, ar_6)) 4.30/2.00 4.30/2.00 start location: koat_start 4.30/2.00 4.30/2.00 leaf cost: 0 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 Complexity upper bound 587 4.30/2.00 4.30/2.00 4.30/2.00 4.30/2.00 Time: 0.350 sec (SMT: 0.267 sec) 4.30/2.00 4.30/2.00 4.30/2.00 ---------------------------------------- 4.30/2.00 4.30/2.00 (2) 4.30/2.00 BOUNDS(1, 1) 4.56/2.01 EOF