/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^2)) proof of /export/starexec/sandbox/output/output_files/bench.koat # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 1490 ms] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 The start-symbols are:[eval_noiseTickSize_start_4] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 300106*Ar_4 + 400040*Ar_4^2 + 64) Initial complexity problem: 1: T: (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)) (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)) (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)) (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)) (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)) (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] 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 ] We thus obtain the following problem: 2: T: (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalnoiseTickSizebb2in) = 1 Pol(evalnoiseTickSizestop) = 0 Pol(evalnoiseTickSize1) = 2 Pol(evalnoiseTickSizebb1in) = 2 Pol(evalnoiseTickSize01) = 2 Pol(evalnoiseTickSize00) = 0 Pol(evalnondetstart) = 0 Pol(evalnoiseTickSize0) = 2 Pol(evalnoiseTickSizebb0in) = 2 Pol(evalnoiseTickSizestart) = 2 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalnoiseTickSizebb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalnoiseTickSizestop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) 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 ] 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 ] 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 ] 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 ] strictly and produces the following problem: 4: T: (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)) (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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)) (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)) (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) (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)) (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)) (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)) (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 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 4 to obtain the following invariants: For symbol evalnoiseTickSize0: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalnoiseTickSize00: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalnoiseTickSize01: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalnoiseTickSize1: X_3 - X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalnoiseTickSizebb1in: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalnoiseTickSizebb2in: X_3 - X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 This yielded the following problem: 5: T: (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 ] (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)) (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)) (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] start location: koat_start leaf cost: 0 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: 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 ] We thus obtain the following problem: 6: T: (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 ] (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)) (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)) (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transition from problem 6: evalnoiseTickSizestart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalnoiseTickSizebb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) We thus obtain the following problem: 7: T: (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: 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 ] We thus obtain the following problem: 8: T: (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: 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 ] We thus obtain the following problem: 9: T: (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: 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 ] We thus obtain the following problem: 10: T: (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] We thus obtain the following problem: 11: T: (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: 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 ] We thus obtain the following problem: 12: T: (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: 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 ] We thus obtain the following problem: 13: T: (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transition from problem 13: 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 ] We thus obtain the following problem: 14: T: (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: 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 ] We thus obtain the following problem: 15: T: (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 ] (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] We thus obtain the following problem: 16: T: (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: 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 ] We thus obtain the following problem: 17: T: (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 17 produces the following problem: 18: T: (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 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: evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] We thus obtain the following problem: 19: T: (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (Comp: ?, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 19 produces the following problem: 20: T: (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (Comp: 1, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalnoiseTickSize1) = -V_1 + V_5 - 1 Pol(evalnoiseTickSize00) = -V_5 Pol(evalnoiseTickSize01) = -V_1 + V_5 - 1 Pol(evalnondetstart) = -V_5 and size complexities 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = 0 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = 0 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = Ar_2 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = Ar_4 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-0) = 0 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-1) = 0 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-2) = Ar_2 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-3) = ? S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-4) = Ar_4 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 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) = ? 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) = ? 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) = ? 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 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 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) = ? 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) = ? 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) = ? 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 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 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) = ? 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 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 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 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 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) = ? 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 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 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 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 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) = ? 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) = ? 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) = ? 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 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 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) = ? 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) = ? 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) = ? 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 orients the transitions evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] 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 ] 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 ] weakly and the transitions evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] strictly and produces the following problem: 21: T: (Comp: 2*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, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (Comp: 2*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, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: ?, Cost: 3) evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (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 ] (Comp: 1, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalnoiseTickSize1) = -2*V_2 + 20002*V_5 Pol(evalnoiseTickSize00) = 1 Pol(evalnoiseTickSize01) = -2*V_2 + 20002*V_5 Pol(evalnondetstart) = 0 and size complexities 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = 0 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = 0 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = Ar_2 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-3) = ? S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-4) = Ar_4 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-0) = 0 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-1) = 0 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-2) = Ar_2 S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-3) = ? S("evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 1-4) = Ar_4 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 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) = ? 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) = ? 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) = ? 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 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 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) = ? 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) = ? 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) = ? 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 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 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) = ? 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 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 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 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 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) = ? 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 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 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 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 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) = ? 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) = ? 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) = ? 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 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 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) = ? 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) = ? 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) = ? 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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) = ? S("evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0 + 1, 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 orients the transitions evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] 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 ] 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 ] weakly and the transitions evalnoiseTickSize1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] 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 ] strictly and produces the following problem: 22: T: (Comp: 2*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, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (Comp: 2*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, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: 80008*Ar_4^2 + 60018*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, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (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 ] (Comp: 80008*Ar_4^2 + 60018*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 ] (Comp: 1, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 22 produces the following problem: 23: T: (Comp: 2*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, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (Comp: 2*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, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0 + 1, 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: 80008*Ar_4^2 + 60018*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, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1 + 1, Ar_2, Fresh_0, 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 ] (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 ] (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 ] (Comp: 60022*Ar_4 + 80008*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 ] (Comp: 80008*Ar_4^2 + 60018*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 ] (Comp: 1, Cost: 1) evalnoiseTickSize0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalnoiseTickSize00(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4), evalnoiseTickSize01(Ar_0, Ar_1, Ar_2, Fresh_0, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ] (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 ] (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)) (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 ] start location: koat_start leaf cost: 0 Complexity upper bound 300106*Ar_4 + 400040*Ar_4^2 + 64 Time: 1.440 sec (SMT: 1.040 sec) ---------------------------------------- (2) BOUNDS(1, n^2)