7.91/3.24 WORST_CASE(Omega(n^1), O(n^1)) 7.91/3.25 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 7.91/3.25 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.91/3.25 7.91/3.25 7.91/3.25 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 7.91/3.25 7.91/3.25 (0) CpxIntTrs 7.91/3.25 (1) Koat Proof [FINISHED, 1088 ms] 7.91/3.25 (2) BOUNDS(1, n^1) 7.91/3.25 (3) Loat Proof [FINISHED, 1511 ms] 7.91/3.25 (4) BOUNDS(n^1, INF) 7.91/3.25 7.91/3.25 7.91/3.25 ---------------------------------------- 7.91/3.25 7.91/3.25 (0) 7.91/3.25 Obligation: 7.91/3.25 Complexity Int TRS consisting of the following rules: 7.91/3.25 eval_start_start(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb0_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_bb0_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_0(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_0(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_1(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_1(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_2(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_2(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_3(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_3(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_4(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_4(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_5(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_5(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_6(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_6(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_m, v_m, 0, v_n_1)) :|: TRUE 7.91/3.25 eval_start__critedge_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb1_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_i_0 > 0 7.91/3.25 eval_start__critedge_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb6_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_i_0 <= 0 7.91/3.25 eval_start_bb1_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_8(v_i_0 - 1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_8(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_9(v_1, nondef_0, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_9(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb2_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_2 > 0 7.91/3.25 eval_start_9(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_0)) :|: v_2 <= 0 7.91/3.25 eval_start_bb2_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_0 + 1, v_n_1)) :|: TRUE 7.91/3.25 eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb4_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_n_1 > 0 7.91/3.25 eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_1, v_n_1)) :|: v_n_1 <= 0 7.91/3.25 eval_start_bb4_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_12(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_12(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_13(v_1, v_2, nondef_1, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_13(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb5_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_6 > 0 7.91/3.25 eval_start_13(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_1, v_n_1)) :|: v_6 <= 0 7.91/3.25 eval_start_bb5_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1 - 1)) :|: TRUE 7.91/3.25 eval_start_bb6_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_stop(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 7.91/3.25 The start-symbols are:[eval_start_start_7] 7.91/3.25 7.91/3.25 7.91/3.25 ---------------------------------------- 7.91/3.25 7.91/3.25 (1) Koat Proof (FINISHED) 7.91/3.25 YES(?, 48*ar_1 + 13) 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Initial complexity problem: 7.91/3.25 7.91/3.25 1: T: 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.91/3.25 7.91/3.25 start location: koat_start 7.91/3.25 7.91/3.25 leaf cost: 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Repeatedly propagating knowledge in problem 1 produces the following problem: 7.91/3.25 7.91/3.25 2: T: 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.91/3.25 7.91/3.25 start location: koat_start 7.91/3.25 7.91/3.25 leaf cost: 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 A polynomial rank function with 7.91/3.25 7.91/3.25 Pol(evalstartstart) = 2 7.91/3.25 7.91/3.25 Pol(evalstartbb0in) = 2 7.91/3.25 7.91/3.25 Pol(evalstart0) = 2 7.91/3.25 7.91/3.25 Pol(evalstart1) = 2 7.91/3.25 7.91/3.25 Pol(evalstart2) = 2 7.91/3.25 7.91/3.25 Pol(evalstart3) = 2 7.91/3.25 7.91/3.25 Pol(evalstart4) = 2 7.91/3.25 7.91/3.25 Pol(evalstart5) = 2 7.91/3.25 7.91/3.25 Pol(evalstart6) = 2 7.91/3.25 7.91/3.25 Pol(evalstartcritedgein) = 2 7.91/3.25 7.91/3.25 Pol(evalstartbb1in) = 2 7.91/3.25 7.91/3.25 Pol(evalstartbb6in) = 1 7.91/3.25 7.91/3.25 Pol(evalstart8) = 2 7.91/3.25 7.91/3.25 Pol(evalstart9) = 2 7.91/3.25 7.91/3.25 Pol(evalstartbb2in) = 2 7.91/3.25 7.91/3.25 Pol(evalstartbb3in) = 2 7.91/3.25 7.91/3.25 Pol(evalstartbb4in) = 2 7.91/3.25 7.91/3.25 Pol(evalstart12) = 2 7.91/3.25 7.91/3.25 Pol(evalstart13) = 2 7.91/3.25 7.91/3.25 Pol(evalstartbb5in) = 2 7.91/3.25 7.91/3.25 Pol(evalstartstop) = 0 7.91/3.25 7.91/3.25 Pol(koat_start) = 2 7.91/3.25 7.91/3.25 orients all transitions weakly and the transitions 7.91/3.25 7.91/3.25 evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 strictly and produces the following problem: 7.91/3.25 7.91/3.25 3: T: 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.91/3.25 7.91/3.25 start location: koat_start 7.91/3.25 7.91/3.25 leaf cost: 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 A polynomial rank function with 7.91/3.25 7.91/3.25 Pol(evalstartstart) = V_2 7.91/3.25 7.91/3.25 Pol(evalstartbb0in) = V_2 7.91/3.25 7.91/3.25 Pol(evalstart0) = V_2 7.91/3.25 7.91/3.25 Pol(evalstart1) = V_2 7.91/3.25 7.91/3.25 Pol(evalstart2) = V_2 7.91/3.25 7.91/3.25 Pol(evalstart3) = V_2 7.91/3.25 7.91/3.25 Pol(evalstart4) = V_2 7.91/3.25 7.91/3.25 Pol(evalstart5) = V_2 7.91/3.25 7.91/3.25 Pol(evalstart6) = V_2 7.91/3.25 7.91/3.25 Pol(evalstartcritedgein) = V_1 7.91/3.25 7.91/3.25 Pol(evalstartbb1in) = V_1 - 1 7.91/3.25 7.91/3.25 Pol(evalstartbb6in) = V_1 7.91/3.25 7.91/3.25 Pol(evalstart8) = V_4 7.91/3.25 7.91/3.25 Pol(evalstart9) = V_4 7.91/3.25 7.91/3.25 Pol(evalstartbb2in) = V_4 7.91/3.25 7.91/3.25 Pol(evalstartbb3in) = V_4 7.91/3.25 7.91/3.25 Pol(evalstartbb4in) = V_4 7.91/3.25 7.91/3.25 Pol(evalstart12) = V_4 7.91/3.25 7.91/3.25 Pol(evalstart13) = V_4 7.91/3.25 7.91/3.25 Pol(evalstartbb5in) = V_4 7.91/3.25 7.91/3.25 Pol(evalstartstop) = V_1 7.91/3.25 7.91/3.25 Pol(koat_start) = V_2 7.91/3.25 7.91/3.25 orients all transitions weakly and the transition 7.91/3.25 7.91/3.25 evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 strictly and produces the following problem: 7.91/3.25 7.91/3.25 4: T: 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.91/3.25 7.91/3.25 start location: koat_start 7.91/3.25 7.91/3.25 leaf cost: 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Repeatedly propagating knowledge in problem 4 produces the following problem: 7.91/3.25 7.91/3.25 5: T: 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.91/3.25 7.91/3.25 start location: koat_start 7.91/3.25 7.91/3.25 leaf cost: 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 A polynomial rank function with 7.91/3.25 7.91/3.25 Pol(evalstartbb5in) = 1 7.91/3.25 7.91/3.25 Pol(evalstartbb3in) = 1 7.91/3.25 7.91/3.25 Pol(evalstartbb4in) = 1 7.91/3.25 7.91/3.25 Pol(evalstart12) = 1 7.91/3.25 7.91/3.25 Pol(evalstartcritedgein) = 0 7.91/3.25 7.91/3.25 Pol(evalstart13) = 1 7.91/3.25 7.91/3.25 and size complexities 7.91/3.25 7.91/3.25 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = 2*ar_1 + 2*ar_3 7.91/3.25 7.91/3.25 S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6))", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6))", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6))", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6))", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6))", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6))", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ]", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ]", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ]", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ]", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ]", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ]", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ]", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ]", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ]", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ]", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ]", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ]", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ]", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ]", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ]", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ]", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ]", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ]", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ]", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ]", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ]", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ]", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ]", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ]", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6))", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6))", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6))", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6))", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6))", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6))", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ]", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ]", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ]", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ]", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ]", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ]", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ]", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6))", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6))", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6))", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6))", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6))", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6))", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6))", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6))", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6))", 0-3) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6))", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6))", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6))", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ]", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ]", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ]", 0-3) = 2*ar_1 + 2*ar_3 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ]", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ]", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ]", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ]", 0-0) = 2*ar_1 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ]", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ]", 0-2) = ? 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ]", 0-3) = 2*ar_1 + 2*ar_3 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ]", 0-4) = ? 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ]", 0-5) = ? 7.91/3.25 7.91/3.25 S("evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ]", 0-6) = ? 7.91/3.25 7.91/3.25 S("evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_1 7.91/3.25 7.91/3.25 S("evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6))", 0-2) = 0 7.91/3.25 7.91/3.25 S("evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0 7.91/3.25 7.91/3.25 S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1 7.91/3.25 7.91/3.25 S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2 7.91/3.25 7.91/3.25 S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3 7.91/3.25 7.91/3.25 S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4 7.91/3.25 7.91/3.25 S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5 7.91/3.25 7.91/3.25 S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6 7.91/3.25 7.91/3.25 orients the transitions 7.91/3.25 7.91/3.25 evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) 7.91/3.25 7.91/3.25 evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 7.91/3.25 7.91/3.25 weakly and the transitions 7.91/3.25 7.91/3.25 evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 strictly and produces the following problem: 7.91/3.25 7.91/3.25 6: T: 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.91/3.25 7.91/3.25 start location: koat_start 7.91/3.25 7.91/3.25 leaf cost: 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Applied AI with 'oct' on problem 6 to obtain the following invariants: 7.91/3.25 7.91/3.25 For symbol evalstart12: X_3 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstart13: X_3 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstart8: X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstart9: X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstartbb1in: X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstartbb2in: X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstartbb3in: X_3 - X_6 >= 0 /\ X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_4 + X_6 >= 0 /\ X_3 + X_6 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_1 + X_6 - 1 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstartbb4in: X_3 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstartbb5in: X_7 - 1 >= 0 /\ X_6 + X_7 - 2 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 2 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ X_3 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstartbb6in: X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 >= 0 7.91/3.25 7.91/3.25 For symbol evalstartcritedgein: X_3 >= 0 /\ -X_1 + X_2 >= 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 This yielded the following problem: 7.91/3.25 7.91/3.25 7: T: 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) [ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 >= 0 /\ ar_2 + ar_5 >= 0 /\ ar_1 + ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 >= 0 /\ ar_2 + ar_5 >= 0 /\ ar_1 + ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) [ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) [ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 start location: koat_start 7.91/3.25 7.91/3.25 leaf cost: 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 A polynomial rank function with 7.91/3.25 7.91/3.25 Pol(koat_start) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstartstart) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstartbb6in) = 8*V_1 - 3 7.91/3.25 7.91/3.25 Pol(evalstartstop) = 8*V_1 - 3 7.91/3.25 7.91/3.25 Pol(evalstartbb5in) = -3*V_1 + 3*V_2 + 8*V_4 + 5*V_6 - 1 7.91/3.25 7.91/3.25 Pol(evalstartbb3in) = 3*V_2 + 5*V_4 + 5*V_6 7.91/3.25 7.91/3.25 Pol(evalstart13) = -3*V_1 + 3*V_2 + 8*V_4 + 5*V_6 7.91/3.25 7.91/3.25 Pol(evalstartcritedgein) = 5*V_1 + 3*V_2 + 5*V_3 - 3 7.91/3.25 7.91/3.25 Pol(evalstart12) = 3*V_2 + 5*V_4 + 5*V_6 - 2 7.91/3.25 7.91/3.25 Pol(evalstartbb4in) = 3*V_2 + 5*V_4 + 5*V_6 - 1 7.91/3.25 7.91/3.25 Pol(evalstartbb2in) = 3*V_2 + 5*V_3 + 5*V_4 + 2 7.91/3.25 7.91/3.25 Pol(evalstart9) = 2*V_1 + 3*V_2 + 5*V_3 + 3*V_4 7.91/3.25 7.91/3.25 Pol(evalstart8) = 2*V_1 + 3*V_2 + 5*V_3 + 3*V_4 7.91/3.25 7.91/3.25 Pol(evalstartbb1in) = 5*V_1 + 3*V_2 + 5*V_3 - 3 7.91/3.25 7.91/3.25 Pol(evalstart6) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstart5) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstart4) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstart3) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstart2) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstart1) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstart0) = 8*V_2 7.91/3.25 7.91/3.25 Pol(evalstartbb0in) = 8*V_2 7.91/3.25 7.91/3.25 orients all transitions weakly and the transitions 7.91/3.25 7.91/3.25 evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) [ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 >= 0 /\ ar_2 + ar_5 >= 0 /\ ar_1 + ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 strictly and produces the following problem: 7.91/3.25 7.91/3.25 8: T: 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: 8*ar_1, Cost: 1) evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1, ar_6)) [ ar_6 - 1 >= 0 /\ ar_5 + ar_6 - 2 >= 0 /\ -ar_4 + ar_6 - 1 >= 0 /\ ar_3 + ar_6 - 1 >= 0 /\ ar_2 + ar_6 - 2 >= 0 /\ ar_1 + ar_6 - 2 >= 0 /\ ar_0 + ar_6 - 2 >= 0 /\ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_6 ] 7.91/3.25 7.91/3.25 (Comp: 8*ar_1, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_6 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: 8*ar_1, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: 8*ar_1, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ -ar_4 + ar_5 - 1 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 2 >= 0 /\ ar_0 + ar_5 - 2 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 >= 0 /\ ar_2 + ar_5 >= 0 /\ ar_1 + ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: 8*ar_1, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 - ar_5 >= 0 /\ ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 >= 0 /\ ar_2 + ar_5 >= 0 /\ ar_1 + ar_5 - 1 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) [ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_0 + ar_3 + 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) [ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ] 7.91/3.25 7.91/3.25 (Comp: 2, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ar_1, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: 1, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 start location: koat_start 7.91/3.25 7.91/3.25 leaf cost: 0 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Complexity upper bound 48*ar_1 + 13 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Time: 1.133 sec (SMT: 0.716 sec) 7.91/3.25 7.91/3.25 7.91/3.25 ---------------------------------------- 7.91/3.25 7.91/3.25 (2) 7.91/3.25 BOUNDS(1, n^1) 7.91/3.25 7.91/3.25 ---------------------------------------- 7.91/3.25 7.91/3.25 (3) Loat Proof (FINISHED) 7.91/3.25 7.91/3.25 7.91/3.25 ### Pre-processing the ITS problem ### 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Initial linear ITS problem 7.91/3.25 7.91/3.25 Start location: evalstartstart 7.91/3.25 7.91/3.25 0: evalstartstart -> evalstartbb0in : [], cost: 1 7.91/3.25 7.91/3.25 1: evalstartbb0in -> evalstart0 : [], cost: 1 7.91/3.25 7.91/3.25 2: evalstart0 -> evalstart1 : [], cost: 1 7.91/3.25 7.91/3.25 3: evalstart1 -> evalstart2 : [], cost: 1 7.91/3.25 7.91/3.25 4: evalstart2 -> evalstart3 : [], cost: 1 7.91/3.25 7.91/3.25 5: evalstart3 -> evalstart4 : [], cost: 1 7.91/3.25 7.91/3.25 6: evalstart4 -> evalstart5 : [], cost: 1 7.91/3.25 7.91/3.25 7: evalstart5 -> evalstart6 : [], cost: 1 7.91/3.25 7.91/3.25 8: evalstart6 -> evalstartcritedgein : A'=B, C'=0, [], cost: 1 7.91/3.25 7.91/3.25 9: evalstartcritedgein -> evalstartbb1in : [ A>=1 ], cost: 1 7.91/3.25 7.91/3.25 10: evalstartcritedgein -> evalstartbb6in : [ 0>=A ], cost: 1 7.91/3.25 7.91/3.25 11: evalstartbb1in -> evalstart8 : D'=-1+A, [], cost: 1 7.91/3.25 7.91/3.25 12: evalstart8 -> evalstart9 : E'=free, [], cost: 1 7.91/3.25 7.91/3.25 13: evalstart9 -> evalstartbb2in : [ E>=1 ], cost: 1 7.91/3.25 7.91/3.25 14: evalstart9 -> evalstartbb3in : F'=C, [ 0>=E ], cost: 1 7.91/3.25 7.91/3.25 15: evalstartbb2in -> evalstartcritedgein : A'=D, C'=1+C, [], cost: 1 7.91/3.25 7.91/3.25 16: evalstartbb3in -> evalstartbb4in : [ F>=1 ], cost: 1 7.91/3.25 7.91/3.25 17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1 7.91/3.25 7.91/3.25 18: evalstartbb4in -> evalstart12 : [], cost: 1 7.91/3.25 7.91/3.25 19: evalstart12 -> evalstart13 : G'=free_1, [], cost: 1 7.91/3.25 7.91/3.25 20: evalstart13 -> evalstartbb5in : [ G>=1 ], cost: 1 7.91/3.25 7.91/3.25 21: evalstart13 -> evalstartcritedgein : A'=D, C'=F, [ 0>=G ], cost: 1 7.91/3.25 7.91/3.25 22: evalstartbb5in -> evalstartbb3in : F'=-1+F, [], cost: 1 7.91/3.25 7.91/3.25 23: evalstartbb6in -> evalstartstop : [], cost: 1 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Removed unreachable and leaf rules: 7.91/3.25 7.91/3.25 Start location: evalstartstart 7.91/3.25 7.91/3.25 0: evalstartstart -> evalstartbb0in : [], cost: 1 7.91/3.25 7.91/3.25 1: evalstartbb0in -> evalstart0 : [], cost: 1 7.91/3.25 7.91/3.25 2: evalstart0 -> evalstart1 : [], cost: 1 7.91/3.25 7.91/3.25 3: evalstart1 -> evalstart2 : [], cost: 1 7.91/3.25 7.91/3.25 4: evalstart2 -> evalstart3 : [], cost: 1 7.91/3.25 7.91/3.25 5: evalstart3 -> evalstart4 : [], cost: 1 7.91/3.25 7.91/3.25 6: evalstart4 -> evalstart5 : [], cost: 1 7.91/3.25 7.91/3.25 7: evalstart5 -> evalstart6 : [], cost: 1 7.91/3.25 7.91/3.25 8: evalstart6 -> evalstartcritedgein : A'=B, C'=0, [], cost: 1 7.91/3.25 7.91/3.25 9: evalstartcritedgein -> evalstartbb1in : [ A>=1 ], cost: 1 7.91/3.25 7.91/3.25 11: evalstartbb1in -> evalstart8 : D'=-1+A, [], cost: 1 7.91/3.25 7.91/3.25 12: evalstart8 -> evalstart9 : E'=free, [], cost: 1 7.91/3.25 7.91/3.25 13: evalstart9 -> evalstartbb2in : [ E>=1 ], cost: 1 7.91/3.25 7.91/3.25 14: evalstart9 -> evalstartbb3in : F'=C, [ 0>=E ], cost: 1 7.91/3.25 7.91/3.25 15: evalstartbb2in -> evalstartcritedgein : A'=D, C'=1+C, [], cost: 1 7.91/3.25 7.91/3.25 16: evalstartbb3in -> evalstartbb4in : [ F>=1 ], cost: 1 7.91/3.25 7.91/3.25 17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1 7.91/3.25 7.91/3.25 18: evalstartbb4in -> evalstart12 : [], cost: 1 7.91/3.25 7.91/3.25 19: evalstart12 -> evalstart13 : G'=free_1, [], cost: 1 7.91/3.25 7.91/3.25 20: evalstart13 -> evalstartbb5in : [ G>=1 ], cost: 1 7.91/3.25 7.91/3.25 21: evalstart13 -> evalstartcritedgein : A'=D, C'=F, [ 0>=G ], cost: 1 7.91/3.25 7.91/3.25 22: evalstartbb5in -> evalstartbb3in : F'=-1+F, [], cost: 1 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 ### Simplification by acceleration and chaining ### 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Eliminated locations (on linear paths): 7.91/3.25 7.91/3.25 Start location: evalstartstart 7.91/3.25 7.91/3.25 31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9 7.91/3.25 7.91/3.25 33: evalstartcritedgein -> evalstart9 : D'=-1+A, E'=free, [ A>=1 ], cost: 3 7.91/3.25 7.91/3.25 14: evalstart9 -> evalstartbb3in : F'=C, [ 0>=E ], cost: 1 7.91/3.25 7.91/3.25 34: evalstart9 -> evalstartcritedgein : A'=D, C'=1+C, [ E>=1 ], cost: 2 7.91/3.25 7.91/3.25 17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1 7.91/3.25 7.91/3.25 36: evalstartbb3in -> evalstart13 : G'=free_1, [ F>=1 ], cost: 3 7.91/3.25 7.91/3.25 21: evalstart13 -> evalstartcritedgein : A'=D, C'=F, [ 0>=G ], cost: 1 7.91/3.25 7.91/3.25 37: evalstart13 -> evalstartbb3in : F'=-1+F, [ G>=1 ], cost: 2 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Eliminated locations (on tree-shaped paths): 7.91/3.25 7.91/3.25 Start location: evalstartstart 7.91/3.25 7.91/3.25 31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9 7.91/3.25 7.91/3.25 38: evalstartcritedgein -> evalstartbb3in : D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free ], cost: 4 7.91/3.25 7.91/3.25 39: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=1+C, D'=-1+A, E'=free, [ A>=1 && free>=1 ], cost: 5 7.91/3.25 7.91/3.25 17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1 7.91/3.25 7.91/3.25 40: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, G'=free_1, [ F>=1 && 0>=free_1 ], cost: 4 7.91/3.25 7.91/3.25 41: evalstartbb3in -> evalstartbb3in : F'=-1+F, G'=free_1, [ F>=1 && free_1>=1 ], cost: 5 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Accelerating simple loops of location 9. 7.91/3.25 7.91/3.25 Accelerating the following rules: 7.91/3.25 7.91/3.25 39: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=1+C, D'=-1+A, E'=free, [ A>=1 && free>=1 ], cost: 5 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Accelerated rule 39 with metering function A, yielding the new rule 42. 7.91/3.25 7.91/3.25 Removing the simple loops: 39. 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Accelerating simple loops of location 14. 7.91/3.25 7.91/3.25 Accelerating the following rules: 7.91/3.25 7.91/3.25 41: evalstartbb3in -> evalstartbb3in : F'=-1+F, G'=free_1, [ F>=1 && free_1>=1 ], cost: 5 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Accelerated rule 41 with metering function F, yielding the new rule 43. 7.99/3.25 7.99/3.25 Removing the simple loops: 41. 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Accelerated all simple loops using metering functions (where possible): 7.99/3.25 7.99/3.25 Start location: evalstartstart 7.99/3.25 7.99/3.25 31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9 7.99/3.25 7.99/3.25 38: evalstartcritedgein -> evalstartbb3in : D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free ], cost: 4 7.99/3.25 7.99/3.25 42: evalstartcritedgein -> evalstartcritedgein : A'=0, C'=C+A, D'=0, E'=free, [ A>=1 && free>=1 ], cost: 5*A 7.99/3.25 7.99/3.25 17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1 7.99/3.25 7.99/3.25 40: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, G'=free_1, [ F>=1 && 0>=free_1 ], cost: 4 7.99/3.25 7.99/3.25 43: evalstartbb3in -> evalstartbb3in : F'=0, G'=free_1, [ F>=1 && free_1>=1 ], cost: 5*F 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Chained accelerated rules (with incoming rules): 7.99/3.25 7.99/3.25 Start location: evalstartstart 7.99/3.25 7.99/3.25 31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9 7.99/3.25 7.99/3.25 45: evalstartstart -> evalstartcritedgein : A'=0, C'=B, D'=0, E'=free, [ B>=1 && free>=1 ], cost: 9+5*B 7.99/3.25 7.99/3.25 38: evalstartcritedgein -> evalstartbb3in : D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free ], cost: 4 7.99/3.25 7.99/3.25 47: evalstartcritedgein -> evalstartbb3in : D'=-1+A, E'=free, F'=0, G'=free_1, [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 4+5*C 7.99/3.25 7.99/3.25 17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1 7.99/3.25 7.99/3.25 40: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, G'=free_1, [ F>=1 && 0>=free_1 ], cost: 4 7.99/3.25 7.99/3.25 44: evalstartbb3in -> evalstartcritedgein : A'=0, C'=F+D, D'=0, E'=free, [ 0>=F && D>=1 && free>=1 ], cost: 1+5*D 7.99/3.25 7.99/3.25 46: evalstartbb3in -> evalstartcritedgein : A'=0, C'=F+D, D'=0, E'=free, G'=free_1, [ F>=1 && 0>=free_1 && D>=1 && free>=1 ], cost: 4+5*D 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Eliminated locations (on tree-shaped paths): 7.99/3.25 7.99/3.25 Start location: evalstartstart 7.99/3.25 7.99/3.25 31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9 7.99/3.25 7.99/3.25 45: evalstartstart -> evalstartcritedgein : A'=0, C'=B, D'=0, E'=free, [ B>=1 && free>=1 ], cost: 9+5*B 7.99/3.25 7.99/3.25 48: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=C, D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free && 0>=C ], cost: 5 7.99/3.25 7.99/3.25 49: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=C, D'=-1+A, E'=free, F'=C, G'=free_1, [ A>=1 && 0>=free && C>=1 && 0>=free_1 ], cost: 8 7.99/3.25 7.99/3.25 50: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=0, D'=-1+A, E'=free, F'=0, G'=free_1, [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 5+5*C 7.99/3.25 7.99/3.25 51: evalstartcritedgein -> [23] : [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 4+5*C 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Accelerating simple loops of location 9. 7.99/3.25 7.99/3.25 Simplified some of the simple loops (and removed duplicate rules). 7.99/3.25 7.99/3.25 Accelerating the following rules: 7.99/3.25 7.99/3.25 48: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free && 0>=C ], cost: 5 7.99/3.25 7.99/3.25 49: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, D'=-1+A, E'=free, F'=C, G'=free_1, [ A>=1 && 0>=free && C>=1 && 0>=free_1 ], cost: 8 7.99/3.25 7.99/3.25 50: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=0, D'=-1+A, E'=free, F'=0, G'=free_1, [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 5+5*C 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Accelerated rule 48 with metering function A, yielding the new rule 52. 7.99/3.25 7.99/3.25 Accelerated rule 49 with metering function A, yielding the new rule 53. 7.99/3.25 7.99/3.25 Found no metering function for rule 50. 7.99/3.25 7.99/3.25 Removing the simple loops: 48 49. 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Accelerated all simple loops using metering functions (where possible): 7.99/3.25 7.99/3.25 Start location: evalstartstart 7.99/3.25 7.99/3.25 31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9 7.99/3.25 7.99/3.25 45: evalstartstart -> evalstartcritedgein : A'=0, C'=B, D'=0, E'=free, [ B>=1 && free>=1 ], cost: 9+5*B 7.99/3.25 7.99/3.25 50: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=0, D'=-1+A, E'=free, F'=0, G'=free_1, [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 5+5*C 7.99/3.25 7.99/3.25 51: evalstartcritedgein -> [23] : [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 4+5*C 7.99/3.25 7.99/3.25 52: evalstartcritedgein -> evalstartcritedgein : A'=0, D'=0, E'=free, F'=C, [ A>=1 && 0>=free && 0>=C ], cost: 5*A 7.99/3.25 7.99/3.25 53: evalstartcritedgein -> evalstartcritedgein : A'=0, D'=0, E'=free, F'=C, G'=free_1, [ A>=1 && 0>=free && C>=1 && 0>=free_1 ], cost: 8*A 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Chained accelerated rules (with incoming rules): 7.99/3.25 7.99/3.25 Start location: evalstartstart 7.99/3.25 7.99/3.25 31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9 7.99/3.25 7.99/3.25 45: evalstartstart -> evalstartcritedgein : A'=0, C'=B, D'=0, E'=free, [ B>=1 && free>=1 ], cost: 9+5*B 7.99/3.25 7.99/3.25 54: evalstartstart -> evalstartcritedgein : A'=0, C'=0, D'=0, E'=free, F'=0, [ B>=1 && 0>=free ], cost: 9+5*B 7.99/3.25 7.99/3.25 51: evalstartcritedgein -> [23] : [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 4+5*C 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Eliminated locations (on tree-shaped paths): 7.99/3.25 7.99/3.25 Start location: evalstartstart 7.99/3.25 7.99/3.25 55: evalstartstart -> [25] : [ B>=1 && free>=1 ], cost: 9+5*B 7.99/3.25 7.99/3.25 56: evalstartstart -> [25] : [ B>=1 && 0>=free ], cost: 9+5*B 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Applied pruning (of leafs and parallel rules): 7.99/3.25 7.99/3.25 Start location: evalstartstart 7.99/3.25 7.99/3.25 55: evalstartstart -> [25] : [ B>=1 && free>=1 ], cost: 9+5*B 7.99/3.25 7.99/3.25 56: evalstartstart -> [25] : [ B>=1 && 0>=free ], cost: 9+5*B 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 ### Computing asymptotic complexity ### 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Fully simplified ITS problem 7.99/3.25 7.99/3.25 Start location: evalstartstart 7.99/3.25 7.99/3.25 55: evalstartstart -> [25] : [ B>=1 && free>=1 ], cost: 9+5*B 7.99/3.25 7.99/3.25 56: evalstartstart -> [25] : [ B>=1 && 0>=free ], cost: 9+5*B 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Computing asymptotic complexity for rule 55 7.99/3.25 7.99/3.25 Solved the limit problem by the following transformations: 7.99/3.25 7.99/3.25 Created initial limit problem: 7.99/3.25 7.99/3.25 free (+/+!), 9+5*B (+), B (+/+!) [not solved] 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 removing all constraints (solved by SMT) 7.99/3.25 7.99/3.25 resulting limit problem: [solved] 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 applying transformation rule (C) using substitution {free==1,B==n} 7.99/3.25 7.99/3.25 resulting limit problem: 7.99/3.25 7.99/3.25 [solved] 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Solution: 7.99/3.25 7.99/3.25 free / 1 7.99/3.25 7.99/3.25 B / n 7.99/3.25 7.99/3.25 Resulting cost 9+5*n has complexity: Poly(n^1) 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Found new complexity Poly(n^1). 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 Obtained the following overall complexity (w.r.t. the length of the input n): 7.99/3.25 7.99/3.25 Complexity: Poly(n^1) 7.99/3.25 7.99/3.25 Cpx degree: 1 7.99/3.25 7.99/3.25 Solved cost: 9+5*n 7.99/3.25 7.99/3.25 Rule cost: 9+5*B 7.99/3.25 7.99/3.25 Rule guard: [ B>=1 && free>=1 ] 7.99/3.25 7.99/3.25 7.99/3.25 7.99/3.25 WORST_CASE(Omega(n^1),?) 7.99/3.25 7.99/3.25 7.99/3.25 ---------------------------------------- 7.99/3.25 7.99/3.25 (4) 7.99/3.25 BOUNDS(n^1, INF) 7.99/3.28 EOF