YES(?,O(n^1)) * Step 1: TrivialSCCs WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (?,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (?,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (?,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_start_0) = x5 p(eval_start_1) = x5 p(eval_start_12) = -1 + x4 + x7 p(eval_start_13) = -1 + x4 + x7 p(eval_start_2) = x5 p(eval_start_3) = x5 p(eval_start_4) = x5 p(eval_start_5) = x5 p(eval_start_6) = x5 p(eval_start_8) = x4 + x6 p(eval_start_9) = x4 + x6 p(eval_start__critedge_in) = x4 + x6 p(eval_start_bb0_in) = x5 p(eval_start_bb1_in) = x4 + x6 p(eval_start_bb2_in) = x4 + x6 p(eval_start_bb3_in) = -1 + x4 + x7 p(eval_start_bb4_in) = -1 + x4 + x7 p(eval_start_bb5_in) = -1 + x4 + x7 p(eval_start_bb6_in) = x4 + x6 p(eval_start_start) = x5 p(eval_start_stop) = x4 + x6 Following rules are strictly oriented: [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = -1 + v_i_0 + v_n_1 > -2 + v_i_0 + v_n_1 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) Following rules are weakly oriented: True ==> eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_0 >= v_i_0 + v_n_0 = eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_0 >= v_i_0 + v_n_0 = eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_0 >= v_i_0 + v_n_0 = eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_0 >= v_i_0 + v_n_0 = eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_0 >= v_i_0 + v_n_0 = eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_0 >= -1 + v_i_0 + v_n_0 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_0 >= 1 + v_1 + v_n_0 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = -1 + v_i_0 + v_n_1 >= -1 + v_i_0 + v_n_1 = eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = -1 + v_i_0 + v_n_1 >= v_1 + v_n_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = -1 + v_i_0 + v_n_1 >= -1 + v_i_0 + v_n_1 = eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = -1 + v_i_0 + v_n_1 >= -1 + v_i_0 + v_n_1 = eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = -1 + v_i_0 + v_n_1 >= -1 + v_i_0 + v_n_1 = eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = -1 + v_i_0 + v_n_1 >= v_1 + v_n_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] ==> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_0 >= v_i_0 + v_n_0 = eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) * Step 3: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_start_0) = x5 p(eval_start_1) = x5 p(eval_start_12) = x4 p(eval_start_13) = x4 p(eval_start_2) = x5 p(eval_start_3) = x5 p(eval_start_4) = x5 p(eval_start_5) = x5 p(eval_start_6) = x5 p(eval_start_8) = x4 p(eval_start_9) = x4 p(eval_start__critedge_in) = x4 p(eval_start_bb0_in) = x5 p(eval_start_bb1_in) = x4 p(eval_start_bb2_in) = -1 + x4 p(eval_start_bb3_in) = x4 p(eval_start_bb4_in) = x4 p(eval_start_bb5_in) = x4 p(eval_start_bb6_in) = x4 p(eval_start_start) = x5 p(eval_start_stop) = x4 Following rules are strictly oriented: [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 > v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) Following rules are weakly oriented: True ==> eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= -1 + v_i_0 = eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = -1 + v_i_0 >= v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] ==> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) * Step 4: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_start_0) = 1 + x5 p(eval_start_1) = 1 + x5 p(eval_start_12) = 1 + x4 p(eval_start_13) = 1 + x4 p(eval_start_2) = 1 + x5 p(eval_start_3) = 1 + x5 p(eval_start_4) = 1 + x5 p(eval_start_5) = 1 + x5 p(eval_start_6) = 1 + x5 p(eval_start_8) = 1 + x4 p(eval_start_9) = 1 + x4 p(eval_start__critedge_in) = 1 + x4 p(eval_start_bb0_in) = 1 + x5 p(eval_start_bb1_in) = 1 + x4 p(eval_start_bb2_in) = x4 p(eval_start_bb3_in) = 1 + x4 p(eval_start_bb4_in) = 1 + x4 p(eval_start_bb5_in) = 1 + x4 p(eval_start_bb6_in) = 1 + x4 p(eval_start_start) = 1 + x5 p(eval_start_stop) = 1 + x4 Following rules are strictly oriented: [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 > v_i_0 = eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 > 1 + v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) Following rules are weakly oriented: True ==> eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= 1 + v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] ==> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 >= 1 + v_i_0 = eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) * Step 5: KnowledgePropagation WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: KnowledgePropagation + Details: We propagate bounds from predecessors. * Step 6: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_start_0) = 1 + x5 p(eval_start_1) = 1 + x5 p(eval_start_12) = x4 + x7 p(eval_start_13) = x4 + x7 p(eval_start_2) = 1 + x5 p(eval_start_3) = 1 + x5 p(eval_start_4) = 1 + x5 p(eval_start_5) = 1 + x5 p(eval_start_6) = 1 + x5 p(eval_start_8) = 1 + x4 + x6 p(eval_start_9) = 1 + x4 + x6 p(eval_start__critedge_in) = 1 + x4 + x6 p(eval_start_bb0_in) = 1 + x5 p(eval_start_bb1_in) = 1 + x4 + x6 p(eval_start_bb2_in) = 1 + x4 + x6 p(eval_start_bb3_in) = 1 + x4 + x7 p(eval_start_bb4_in) = 1 + x4 + x7 p(eval_start_bb5_in) = x4 + x7 p(eval_start_bb6_in) = 1 + x4 + x6 p(eval_start_start) = 1 + x5 p(eval_start_stop) = 1 + x4 + x6 Following rules are strictly oriented: [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_1 > v_i_0 + v_n_1 = eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) Following rules are weakly oriented: True ==> eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_m >= 1 + v_m = eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_0 >= 1 + v_i_0 + v_n_0 = eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_0 >= 1 + v_i_0 + v_n_0 = eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_0 >= 1 + v_i_0 + v_n_0 = eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_0 >= 1 + v_i_0 + v_n_0 = eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_0 >= 1 + v_i_0 + v_n_0 = eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_0 >= 1 + v_i_0 + v_n_0 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_0 >= 2 + v_1 + v_n_0 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_1 >= 1 + v_i_0 + v_n_1 = eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_1 >= 1 + v_1 + v_n_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_1 >= v_i_0 + v_n_1 = eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_1 >= v_i_0 + v_n_1 = eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_1 >= 1 + v_1 + v_n_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 + v_n_1 >= v_i_0 + v_n_1 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] ==> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = 1 + v_i_0 + v_n_0 >= 1 + v_i_0 + v_n_0 = eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) * Step 7: KnowledgePropagation WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: KnowledgePropagation + Details: We propagate bounds from predecessors. * Step 8: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_start_0) = x5 p(eval_start_1) = x5 p(eval_start_12) = x4 p(eval_start_13) = x4 p(eval_start_2) = x5 p(eval_start_3) = x5 p(eval_start_4) = x5 p(eval_start_5) = x5 p(eval_start_6) = x5 p(eval_start_8) = x4 p(eval_start_9) = x4 p(eval_start__critedge_in) = x4 p(eval_start_bb0_in) = x5 p(eval_start_bb1_in) = x4 p(eval_start_bb2_in) = x4 p(eval_start_bb3_in) = x4 p(eval_start_bb4_in) = x4 p(eval_start_bb5_in) = x4 p(eval_start_bb6_in) = x4 p(eval_start_start) = x5 p(eval_start_stop) = x4 Following rules are strictly oriented: [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 > v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 > v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 > v_1 = eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) Following rules are weakly oriented: True ==> eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True ==> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_m >= v_m = eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] ==> eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 ==> && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 + -1*v_n_1 >= 0 ==> && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 ==> && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] ==> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) = v_i_0 >= v_i_0 = eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) * Step 9: KnowledgePropagation WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (?,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (?,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: KnowledgePropagation + Details: We propagate bounds from predecessors. * Step 10: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 1. eval_start_bb0_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 2. eval_start_0(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 3. eval_start_1(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 4. eval_start_2(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 5. eval_start_3(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 6. eval_start_4(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 7. eval_start_5(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (1,1) 8. eval_start_6(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_m,v_m,0,v_n_1) True (1,1) 9. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] (2 + 3*v_m,1) 10. eval_start__critedge_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && 0 >= v_i_0] (1,1) 11. eval_start_bb1_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_8(-1 + v_i_0,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (2 + 3*v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0] 12. eval_start_8(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_9(v_1,nondef_0,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (2 + 3*v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0] 13. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && -1 + v_2 >= 0] 14. eval_start_9(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_0) [v_n_0 >= 0 (2 + 3*v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && v_1 >= 0 && 0 >= v_2] 15. eval_start_bb2_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,1 + v_n_0,v_n_1) [v_n_0 >= 0 (1 + v_m,1) && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1 + v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_2 >= 0 && -1 + v_1 + v_2 >= 0 && v_1 >= 0] 16. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (2 + 4*v_m,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_n_1 >= 0] 17. eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && v_n_1 >= 0 && v_n_0 + v_n_1 >= 0 && -1 + v_m + v_n_1 >= 0 && -1 + v_i_0 + v_n_1 >= 0 && -1*v_2 + v_n_1 >= 0 && v_1 + v_n_1 >= 0 && v_n_0 >= 0 && -1 + v_m + v_n_0 >= 0 && -1 + v_i_0 + v_n_0 >= 0 && -1*v_2 + v_n_0 >= 0 && v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_n_1] 18. eval_start_bb4_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 19. eval_start_12(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_13(v_1,v_2,nondef_1,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 20. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (1 + v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && -1 + v_6 >= 0] 21. eval_start_13(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start__critedge_in(v_1,v_2,v_6,v_1,v_m,v_n_1,v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0 && 0 >= v_6] 22. eval_start_bb5_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_bb3_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,-1 + v_n_1) [v_n_0 + -1*v_n_1 >= 0 (v_m,1) && -1 + v_n_1 >= 0 && -2 + v_n_0 + v_n_1 >= 0 && -2 + v_m + v_n_1 >= 0 && -2 + v_i_0 + v_n_1 >= 0 && -2 + v_6 + v_n_1 >= 0 && -1 + -1*v_2 + v_n_1 >= 0 && -1 + v_1 + v_n_1 >= 0 && -1 + v_n_0 >= 0 && -2 + v_m + v_n_0 >= 0 && -2 + v_i_0 + v_n_0 >= 0 && -2 + v_6 + v_n_0 >= 0 && -1 + -1*v_2 + v_n_0 >= 0 && -1 + v_1 + v_n_0 >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1*v_i_0 + v_m >= 0 && -2 + v_6 + v_m >= 0 && -1 + -1*v_2 + v_m >= 0 && -1 + v_1 + v_m >= 0 && -1 + -1*v_1 + v_m >= 0 && 1 + v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_6 + v_i_0 >= 0 && -1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1 + v_6 >= 0 && -1 + -1*v_2 + v_6 >= 0 && -1 + v_1 + v_6 >= 0 && -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_1 >= 0] 23. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> eval_start_stop(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) [v_n_0 >= 0 && -1*v_i_0 + v_n_0 >= 0 && -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_start_0,7) ;(eval_start_1,7) ;(eval_start_12,7) ;(eval_start_13,7) ;(eval_start_2,7) ;(eval_start_3,7) ;(eval_start_4,7) ;(eval_start_5,7) ;(eval_start_6,7) ;(eval_start_8,7) ;(eval_start_9,7) ;(eval_start__critedge_in,7) ;(eval_start_bb0_in,7) ;(eval_start_bb1_in,7) ;(eval_start_bb2_in,7) ;(eval_start_bb3_in,7) ;(eval_start_bb4_in,7) ;(eval_start_bb5_in,7) ;(eval_start_bb6_in,7) ;(eval_start_start,7) ;(eval_start_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23},11->{12},12->{13,14} ,13->{15},14->{16,17},15->{9,10},16->{18},17->{9,10},18->{19},19->{20,21},20->{22},21->{9,10},22->{16,17} ,23->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: The problem is already solved. YES(?,O(n^1))