4.39/3.15 WORST_CASE(?, O(n^2)) 4.39/3.17 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.39/3.17 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.39/3.17 4.39/3.17 4.39/3.17 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 4.39/3.17 4.39/3.17 (0) CpxIntTrs 4.39/3.17 (1) Koat Proof [FINISHED, 1901 ms] 4.39/3.17 (2) BOUNDS(1, n^2) 4.39/3.17 4.39/3.17 4.39/3.17 ---------------------------------------- 4.39/3.17 4.39/3.17 (0) 4.39/3.17 Obligation: 4.39/3.17 Complexity Int TRS consisting of the following rules: 4.39/3.17 eval_noiseTickSize_start(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb0_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: TRUE 4.39/3.17 eval_noiseTickSize_bb0_in(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, 0, 0)) :|: TRUE 4.39/3.17 eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_0(v_0, v_DELTAS, v_i.0, v_j.0)) :|: TRUE 4.39/3.17 eval_noiseTickSize_0(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_2(eval_nondet_start(v_0, v_DELTAS, v_i.0, v_j.0), eval_noiseTickSize_1(nondef.0, v_DELTAS, v_i.0, v_j.0)) :|: TRUE 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0 + 1, 1)) :|: v_0 < 0 && v_i.0 + 1 < v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0 + 1, 1)) :|: v_0 < 0 && v_0 > 0 && v_i.0 + 1 < v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0 + 1, 1)) :|: v_0 > 0 && v_i.0 + 1 < v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 < 0 && v_i.0 + 1 >= v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 < 0 && v_0 > 0 && v_i.0 + 1 >= v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 > 0 && v_i.0 + 1 >= v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0, 1)) :|: v_0 < 0 && v_0 >= 0 && v_0 <= 0 && v_i.0 < v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0, 1)) :|: v_0 > 0 && v_0 >= 0 && v_0 <= 0 && v_i.0 < v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 < 0 && v_0 >= 0 && v_0 <= 0 && v_i.0 >= v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 > 0 && v_0 >= 0 && v_0 <= 0 && v_i.0 >= v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0 + 1, v_j.0 + 1)) :|: v_0 >= 0 && v_0 <= 0 && v_0 < 0 && v_j.0 <= 10000 && v_i.0 + 1 < v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0 + 1, v_j.0 + 1)) :|: v_0 >= 0 && v_0 <= 0 && v_0 > 0 && v_j.0 <= 10000 && v_i.0 + 1 < v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 >= 0 && v_0 <= 0 && v_0 < 0 && v_j.0 > 10000 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 >= 0 && v_0 <= 0 && v_0 < 0 && v_i.0 + 1 >= v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 >= 0 && v_0 <= 0 && v_0 > 0 && v_j.0 > 10000 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 >= 0 && v_0 <= 0 && v_0 > 0 && v_i.0 + 1 >= v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb1_in(v_0, v_DELTAS, v_i.0, v_j.0 + 1)) :|: v_0 >= 0 && v_0 <= 0 && v_j.0 <= 10000 && v_i.0 < v_DELTAS 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 >= 0 && v_0 <= 0 && v_j.0 > 10000 4.39/3.17 eval_noiseTickSize_1(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0)) :|: v_0 >= 0 && v_0 <= 0 && v_i.0 >= v_DELTAS 4.39/3.17 eval_noiseTickSize_bb2_in(v_0, v_DELTAS, v_i.0, v_j.0) -> Com_1(eval_noiseTickSize_stop(v_0, v_DELTAS, v_i.0, v_j.0)) :|: TRUE 4.39/3.17 4.39/3.17 The start-symbols are:[eval_noiseTickSize_start_4] 4.39/3.17 4.39/3.17 4.39/3.17 ---------------------------------------- 4.39/3.17 4.39/3.17 (1) Koat Proof (FINISHED) 4.39/3.17 YES(?, 300068*ar_4 + 200020*ar_4^2 + 64) 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Initial complexity problem: 4.39/3.17 4.39/3.17 1: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, ar_1 + 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 2 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, ar_1 + 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 2 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_0 + 1 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_0 + 1 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Testing for reachability in the complexity graph removes the following transitions from problem 1: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, ar_1 + 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 2 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, ar_1 + 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 2 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_0 + 1 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_0 + 1 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 2: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Repeatedly propagating knowledge in problem 2 produces the following problem: 4.39/3.17 4.39/3.17 3: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 A polynomial rank function with 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSizebb2in) = 1 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSizestop) = 0 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize1) = 2 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSizebb1in) = 2 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize01) = 2 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize00) = 0 4.39/3.17 4.39/3.17 Pol(evalnondetstart) = 0 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize0) = 2 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSizebb0in) = 2 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSizestart) = 2 4.39/3.17 4.39/3.17 Pol(koat_start) = 2 4.39/3.17 4.39/3.17 orients all transitions weakly and the transitions 4.39/3.17 4.39/3.17 evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 strictly and produces the following problem: 4.39/3.17 4.39/3.17 4: T: 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Applied AI with 'oct' on problem 4 to obtain the following invariants: 4.39/3.17 4.39/3.17 For symbol evalnoiseTickSize0: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 4.39/3.17 4.39/3.17 For symbol evalnoiseTickSize00: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 4.39/3.17 4.39/3.17 For symbol evalnoiseTickSize01: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 4.39/3.17 4.39/3.17 For symbol evalnoiseTickSize1: X_3 - X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 4.39/3.17 4.39/3.17 For symbol evalnoiseTickSizebb1in: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 4.39/3.17 4.39/3.17 For symbol evalnoiseTickSizebb2in: X_3 - X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 This yielded the following problem: 4.39/3.17 4.39/3.17 5: T: 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] with all transitions in problem 5, the following new transition is obtained: 4.39/3.17 4.39/3.17 koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 6: T: 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Testing for reachability in the complexity graph removes the following transition from problem 6: 4.39/3.17 4.39/3.17 evalnoiseTickSizestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 7: T: 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] with all transitions in problem 7, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 8: T: 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] with all transitions in problem 8, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 9: T: 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 ] with all transitions in problem 9, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 10: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1 + 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] with all transitions in problem 10, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 11: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] with all transitions in problem 11, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 12: T: 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] with all transitions in problem 12, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 13: T: 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 1) evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Testing for reachability in the complexity graph removes the following transition from problem 13: 4.39/3.17 4.39/3.17 evalnoiseTickSizebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 14: T: 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 ] with all transitions in problem 14, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 15: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] with all transitions in problem 15, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 16: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 ] with all transitions in problem 16, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 17: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Repeatedly propagating knowledge in problem 17 produces the following problem: 4.39/3.17 4.39/3.17 18: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 By chaining the transition evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0 + 1, 1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] with all transitions in problem 18, the following new transition is obtained: 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 We thus obtain the following problem: 4.39/3.17 4.39/3.17 19: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Repeatedly propagating knowledge in problem 19 produces the following problem: 4.39/3.17 4.39/3.17 20: T: 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 A polynomial rank function with 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize1) = -V_1 + V_5 - 1 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize00) = 0 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize01) = -V_1 + V_5 - 1 4.39/3.17 4.39/3.17 Pol(evalnondetstart) = 0 4.39/3.17 4.39/3.17 and size complexities 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-0) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-1) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-2) = ar_2 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-3) = ar_3 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ar_3 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-0) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-1) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-2) = ar_2 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-2) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-3) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-2) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-3) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-2) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-2) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-1) = 1 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-1) = 1 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-1) = 1 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-1) = 1 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-4) = ar_4 4.39/3.17 4.39/3.17 orients the transitions 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 weakly and the transitions 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 strictly and produces the following problem: 4.39/3.17 4.39/3.17 21: T: 4.39/3.17 4.39/3.17 (Comp: ar_4 + 1, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ar_4 + 1, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 A polynomial rank function with 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize1) = -2*V_2 + 20002*V_5 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize00) = 1 4.39/3.17 4.39/3.17 Pol(evalnoiseTickSize01) = -2*V_2 + 20002*V_5 4.39/3.17 4.39/3.17 Pol(evalnondetstart) = 0 4.39/3.17 4.39/3.17 and size complexities 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3 4.39/3.17 4.39/3.17 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-0) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-1) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-2) = ar_2 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-3) = ar_3 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4))", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ar_3 4.39/3.17 4.39/3.17 S("evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-0) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-1) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-2) = ar_2 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 1-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-2) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-3) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_4 /\\ ar_2 = 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-2) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-3) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= 10001 /\\ ar_2 = 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-2) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-2) = 0 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 10000 >= ar_1 /\\ ar_4 >= ar_0 + 1 /\\ ar_2 = 0 /\\ ar_1 + 1 >= 0 /\\ ar_0 + ar_1 + 1 >= 0 ]", 1-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_0 + 1 >= ar_4 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-1) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_0 + 1 >= ar_4 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-1) = 1 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-1) = 1 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-1) = 1 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 0-4) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-0) = ar_4 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-1) = 1 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-2) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-3) = ? 4.39/3.17 4.39/3.17 S("evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 + 1 /\\ ar_4 >= ar_0 + 2 /\\ 1 >= 0 /\\ ar_0 + 2 >= 0 /\\ ar_0 + 1 >= 0 ]", 1-4) = ar_4 4.39/3.17 4.39/3.17 orients the transitions 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 weakly and the transitions 4.39/3.17 4.39/3.17 evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 strictly and produces the following problem: 4.39/3.17 4.39/3.17 22: T: 4.39/3.17 4.39/3.17 (Comp: ar_4 + 1, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ar_4 + 1, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 40004*ar_4^2 + 60012*ar_4 + 7, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: ?, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 40004*ar_4^2 + 60012*ar_4 + 7, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Repeatedly propagating knowledge in problem 22 produces the following problem: 4.39/3.17 4.39/3.17 23: T: 4.39/3.17 4.39/3.17 (Comp: ar_4 + 1, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: ar_4 + 1, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0 + 1, 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0 + 1, 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_4 >= ar_0 + 2 /\ 1 >= 0 /\ ar_0 + 2 >= 0 /\ ar_0 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 + 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 /\ ar_0 + 1 >= ar_4 ] 4.39/3.17 4.39/3.17 (Comp: 40004*ar_4^2 + 60012*ar_4 + 7, Cost: 3) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1 + 1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1 + 1, ar_2, f, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 10000 >= ar_1 /\ ar_4 >= ar_0 + 1 /\ ar_2 = 0 /\ ar_1 + 1 >= 0 /\ ar_0 + ar_1 + 1 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= 10001 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 2, Cost: 2) evalnoiseTickSize1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_4 /\ ar_2 = 0 ] 4.39/3.17 4.39/3.17 (Comp: 60014*ar_4 + 40004*ar_4^2 + 10, Cost: 1) evalnoiseTickSize01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize1(ar_0, ar_1, ar_3, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 40004*ar_4^2 + 60012*ar_4 + 7, Cost: 1) evalnoiseTickSize00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalnoiseTickSize00(ar_0, ar_1, ar_2, f, ar_4), evalnoiseTickSize01(ar_0, ar_1, ar_2, f, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSize0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb1in(0, 0, ar_2, ar_3, ar_4)) 4.39/3.17 4.39/3.17 (Comp: 1, Cost: 1) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnoiseTickSizebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 4.39/3.17 4.39/3.17 start location: koat_start 4.39/3.17 4.39/3.17 leaf cost: 0 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Complexity upper bound 300068*ar_4 + 200020*ar_4^2 + 64 4.39/3.17 4.39/3.17 4.39/3.17 4.39/3.17 Time: 1.870 sec (SMT: 1.373 sec) 4.39/3.17 4.39/3.17 4.39/3.17 ---------------------------------------- 4.39/3.17 4.39/3.17 (2) 4.39/3.17 BOUNDS(1, n^2) 4.54/3.20 EOF