/export/starexec/sandbox2/solver/bin/starexec_run_c_complexity /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^2)) proof of /export/starexec/sandbox2/output/output_files/bench.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 883 ms] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_insertsort_start(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb0_in(v_1, v_4, v_i.0, v_j.0, v_length)) :|: TRUE eval_insertsort_bb0_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb1_in(v_1, v_4, 1, v_j.0, v_length)) :|: TRUE eval_insertsort_bb1_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb2_in(v_1, v_4, v_i.0, v_j.0, v_length)) :|: v_i.0 < v_length eval_insertsort_bb1_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb6_in(v_1, v_4, v_i.0, v_j.0, v_length)) :|: v_i.0 >= v_length eval_insertsort_bb2_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_0(v_1, v_4, v_i.0, v_j.0, v_length)) :|: TRUE eval_insertsort_0(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_2(eval_nondet_start(v_1, v_4, v_i.0, v_j.0, v_length), eval_insertsort_1(nondef.0, v_4, v_i.0, v_j.0, v_length)) :|: TRUE eval_insertsort_1(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb3_in(v_1, v_4, v_i.0, v_i.0 - 1, v_length)) :|: TRUE eval_insertsort_bb3_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb4_in(v_1, v_4, v_i.0, v_j.0, v_length)) :|: v_j.0 >= 0 eval_insertsort_bb3_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_.critedge_in(v_1, v_4, v_i.0, v_j.0, v_length)) :|: v_j.0 < 0 eval_insertsort_bb4_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_3(v_1, v_4, v_i.0, v_j.0, v_length)) :|: TRUE eval_insertsort_3(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_2(eval_nondet_start(v_1, v_4, v_i.0, v_j.0, v_length), eval_insertsort_4(v_1, nondef.1, v_i.0, v_j.0, v_length)) :|: TRUE eval_insertsort_4(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb5_in(v_1, v_4, v_i.0, v_j.0, v_length)) :|: v_4 > v_1 eval_insertsort_4(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_.critedge_in(v_1, v_4, v_i.0, v_j.0, v_length)) :|: v_4 <= v_1 eval_insertsort_bb5_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb3_in(v_1, v_4, v_i.0, v_j.0 - 1, v_length)) :|: TRUE eval_insertsort_.critedge_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_bb1_in(v_1, v_4, v_i.0 + 1, v_j.0, v_length)) :|: TRUE eval_insertsort_bb6_in(v_1, v_4, v_i.0, v_j.0, v_length) -> Com_1(eval_insertsort_stop(v_1, v_4, v_i.0, v_j.0, v_length)) :|: TRUE The start-symbols are:[eval_insertsort_start_5] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 800*ar_1 + 896*ar_1^2 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_4 + 1 ] (Comp: ?, Cost: 1) evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) (Comp: ?, Cost: 1) evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_5 ] (Comp: ?, Cost: 1) evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) (Comp: ?, Cost: 1) evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 1, Cost: 1) evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_4 + 1 ] (Comp: ?, Cost: 1) evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) (Comp: ?, Cost: 1) evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_5 ] (Comp: ?, Cost: 1) evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) (Comp: ?, Cost: 1) evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalinsertsortstart) = 2 Pol(evalinsertsortbb0in) = 2 Pol(evalinsertsortbb1in) = 2 Pol(evalinsertsortbb2in) = 2 Pol(evalinsertsortbb6in) = 1 Pol(evalinsertsort0) = 2 Pol(evalinsertsort00) = 0 Pol(evalnondetstart) = 0 Pol(evalinsertsort01) = 2 Pol(evalinsertsort1) = 2 Pol(evalinsertsortbb3in) = 2 Pol(evalinsertsortbb4in) = 2 Pol(evalinsertsortcritedgein) = 2 Pol(evalinsertsort3) = 2 Pol(evalinsertsort30) = 0 Pol(evalinsertsort31) = 2 Pol(evalinsertsort4) = 2 Pol(evalinsertsortbb5in) = 2 Pol(evalinsertsortstop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_1 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 1, Cost: 1) evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_0 + 1 ] (Comp: 2, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_4 + 1 ] (Comp: ?, Cost: 1) evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) (Comp: ?, Cost: 1) evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_5 ] (Comp: ?, Cost: 1) evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) (Comp: ?, Cost: 1) evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 2, Cost: 1) evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol evalinsertsort0: X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsort00: X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsort01: X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsort1: X_3 - X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsort3: X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsort30: X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsort31: X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsort4: X_4 - X_6 >= 0 /\ -X_4 + X_6 >= 0 /\ X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsortbb1in: X_1 - 1 >= 0 For symbol evalinsertsortbb2in: X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsortbb3in: X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsortbb4in: X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsortbb5in: X_4 - X_6 >= 0 /\ -X_4 + X_6 >= 0 /\ -X_3 + X_6 - 1 >= 0 /\ X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsortbb6in: X_1 - X_2 >= 0 /\ X_1 - 1 >= 0 For symbol evalinsertsortcritedgein: X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ -ar_2 + ar_5 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_5 ] (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_5 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 + 1 ] (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 2, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\ ar_1 >= ar_0 + 1 ] (Comp: 1, Cost: 1) evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 1, Cost: 1) evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 8*V_2 Pol(evalinsertsortstart) = 8*V_2 - 8 Pol(evalinsertsortbb6in) = -8*V_1 + 8*V_2 Pol(evalinsertsortstop) = -8*V_1 + 8*V_2 Pol(evalinsertsortcritedgein) = -8*V_1 + 8*V_2 - 7 Pol(evalinsertsortbb1in) = -8*V_1 + 8*V_2 Pol(evalinsertsortbb5in) = -8*V_1 + 8*V_2 - 6 Pol(evalinsertsortbb3in) = -8*V_1 + 8*V_2 - 6 Pol(evalinsertsort4) = -8*V_1 + 8*V_2 - 6 Pol(evalinsertsort3) = -8*V_1 + 8*V_2 - 6 Pol(evalinsertsort30) = 0 Pol(evalinsertsort31) = -8*V_1 + 8*V_2 - 6 Pol(evalnondetstart) = 0 Pol(evalinsertsortbb4in) = -8*V_1 + 8*V_2 - 6 Pol(evalinsertsort1) = -8*V_1 + 8*V_2 - 5 Pol(evalinsertsort0) = -8*V_1 + 8*V_2 - 2 Pol(evalinsertsort00) = 1 Pol(evalinsertsort01) = -8*V_1 + 8*V_2 - 4 Pol(evalinsertsortbb2in) = -8*V_1 + 8*V_2 - 1 Pol(evalinsertsortbb0in) = 8*V_2 - 8 orients all transitions weakly and the transitions evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 + 1 ] evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\ ar_1 >= ar_0 + 1 ] evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_5 ] evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ -ar_2 + ar_5 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_5 ] (Comp: ?, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_5 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 + 1 ] (Comp: ?, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 2, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\ ar_0 >= ar_1 ] (Comp: 8*ar_1, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\ ar_1 >= ar_0 + 1 ] (Comp: 1, Cost: 1) evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 1, Cost: 1) evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalinsertsortbb5in) = 5*V_2 + 11*V_5 - 8 Pol(evalinsertsortbb3in) = 5*V_2 + 11*V_5 + 2 Pol(evalinsertsortbb4in) = 5*V_2 + 11*V_5 + 1 Pol(evalinsertsort3) = 5*V_2 + 11*V_5 Pol(evalinsertsort4) = 5*V_2 + 11*V_5 - 6 Pol(evalinsertsort31) = 5*V_2 + 11*V_5 - 4 Pol(evalinsertsort30) = 2 Pol(evalnondetstart) = 1 and size complexities S("evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0 S("evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 S("evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 S("evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 S("evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 S("evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 S("evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = 1 S("evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 S("evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 S("evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 S("evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 S("evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-0) = ar_1 + 1 S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-1) = ar_1 S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-2) = ? S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-3) = ? S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-4) = ar_1 + ar_4 + 2 S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-5) = ? S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_0 >= ar_1 ]", 0-0) = ar_1 + 1 S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_0 >= ar_1 ]", 0-1) = ar_1 S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_0 >= ar_1 ]", 0-2) = ? S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_0 >= ar_1 ]", 0-3) = ? S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_0 >= ar_1 ]", 0-4) = ar_1 + ar_4 + 2 S("evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\\ ar_0 >= ar_1 ]", 0-5) = ? S("evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + ar_4 + 2 S("evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + ar_4 + 2 S("evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + ar_4 + 2 S("evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + ar_4 + 2 S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-0) = ar_1 + 1 S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-1) = ar_1 S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-2) = ? S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-3) = ? S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-4) = ar_1 + ar_4 + 2 S("evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-5) = ? S("evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + 1 S("evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_4 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_4 >= 0 ]", 0-1) = ar_1 S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_4 >= 0 ]", 0-2) = ? S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_4 >= 0 ]", 0-3) = ? S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_4 >= 0 ]", 0-4) = ar_1 + 2 S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_4 >= 0 ]", 0-5) = ? S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 0 >= ar_4 + 1 ]", 0-0) = ar_1 + 1 S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 0 >= ar_4 + 1 ]", 0-1) = ar_1 S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 0 >= ar_4 + 1 ]", 0-2) = ? S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 0 >= ar_4 + 1 ]", 0-3) = ? S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 0 >= ar_4 + 1 ]", 0-4) = ar_1 + 2 S("evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ 0 >= ar_4 + 1 ]", 0-5) = ? S("evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + 2 S("evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + 2 S("evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + 2 S("evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + 2 S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-0) = ar_1 + 1 S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-1) = ar_1 S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-2) = ? S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-3) = ? S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-4) = ar_1 + 2 S("evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-5) = ? S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_5 >= ar_2 + 1 ]", 0-0) = ar_1 + 1 S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_5 >= ar_2 + 1 ]", 0-1) = ar_1 S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_5 >= ar_2 + 1 ]", 0-2) = ? S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_5 >= ar_2 + 1 ]", 0-3) = ? S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_5 >= ar_2 + 1 ]", 0-4) = ar_1 + 2 S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_5 >= ar_2 + 1 ]", 0-5) = ? S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_5 ]", 0-0) = ar_1 + 1 S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_5 ]", 0-1) = ar_1 S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_5 ]", 0-2) = ? S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_5 ]", 0-3) = ? S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_5 ]", 0-4) = ar_1 + 2 S("evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_2 >= ar_5 ]", 0-5) = ? S("evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ -ar_2 + ar_5 - 1 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ -ar_2 + ar_5 - 1 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ -ar_2 + ar_5 - 1 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ -ar_2 + ar_5 - 1 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ -ar_2 + ar_5 - 1 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + 2 S("evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\\ -ar_3 + ar_5 >= 0 /\\ -ar_2 + ar_5 - 1 >= 0 /\\ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_4 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ -ar_2 + ar_3 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 S("evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + 2 S("evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\\ ar_0 - ar_4 - 1 >= 0 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1 S("evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1 S("evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ? S("evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ? S("evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-4) = ar_1 + ar_4 + 2 S("evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-5) = ? S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5 orients the transitions evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ -ar_2 + ar_5 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 0 ] evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_5 >= ar_2 + 1 ] evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] weakly and the transitions evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ -ar_2 + ar_5 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 0 ] evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_5 >= ar_2 + 1 ] evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 128*ar_1^2 + 104*ar_1, Cost: 1) evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ -ar_2 + ar_5 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= ar_5 ] (Comp: 128*ar_1^2 + 104*ar_1, Cost: 1) evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 - ar_5 >= 0 /\ -ar_3 + ar_5 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_5 >= ar_2 + 1 ] (Comp: 128*ar_1^2 + 104*ar_1, Cost: 1) evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort30(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort31(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 128*ar_1^2 + 104*ar_1, Cost: 1) evalinsertsort31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 128*ar_1^2 + 104*ar_1, Cost: 1) evalinsertsort30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 128*ar_1^2 + 104*ar_1, Cost: 1) evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_4 + 1 ] (Comp: 128*ar_1^2 + 104*ar_1, Cost: 1) evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_4 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb3in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_5)) [ ar_2 - ar_3 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalinsertsort00(ar_0, ar_1, ar_2, g, ar_4, ar_5), evalinsertsort01(ar_0, ar_1, ar_2, g, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsort00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 8*ar_1, Cost: 1) evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsort0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 ] (Comp: 2, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\ ar_0 >= ar_1 ] (Comp: 8*ar_1, Cost: 1) evalinsertsortbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - 1 >= 0 /\ ar_1 >= ar_0 + 1 ] (Comp: 1, Cost: 1) evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb1in(1, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: 1, Cost: 1) evalinsertsortstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalinsertsortbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) start location: koat_start leaf cost: 0 Complexity upper bound 800*ar_1 + 896*ar_1^2 + 6 Time: 0.855 sec (SMT: 0.608 sec) ---------------------------------------- (2) BOUNDS(1, n^2)