YES(?,PRIMREC) * Step 1: TrivialSCCs MAYBE + 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) [-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) [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) True (?,1) 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) True (?,1) 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) [-1 + v_2 >= 0] (?,1) 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) [0 >= v_2] (?,1) 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) True (?,1) 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) [-1 + v_n_1 >= 0] (?,1) 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) [0 >= v_n_1] (?,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) True (?,1) 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) True (?,1) 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) [-1 + v_6 >= 0] (?,1) 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) [0 >= v_6] (?,1) 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) True (?,1) 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) True (?,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: AddSinks MAYBE + 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) [-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) [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) True (?,1) 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) True (?,1) 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) [-1 + v_2 >= 0] (?,1) 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) [0 >= v_2] (?,1) 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) True (?,1) 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) [-1 + v_n_1 >= 0] (?,1) 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) [0 >= v_n_1] (?,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) True (?,1) 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) True (?,1) 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) [-1 + v_6 >= 0] (?,1) 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) [0 >= v_6] (?,1) 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) True (?,1) 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) True (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: AddSinks + Details: () * Step 3: LooptreeTransformer MAYBE + 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) [-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) [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) True (?,1) 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) True (?,1) 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) [-1 + v_2 >= 0] (?,1) 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) [0 >= v_2] (?,1) 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) True (?,1) 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) [-1 + v_n_1 >= 0] (?,1) 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) [0 >= v_n_1] (?,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) True (?,1) 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) True (?,1) 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) [-1 + v_6 >= 0] (?,1) 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) [0 >= v_6] (?,1) 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) True (?,1) 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) True (?,1) 24. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> exitus616(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,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) ;(exitus616,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23,24},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->{},24->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24] | `- p:[9,15,13,12,11,17,14,22,20,19,18,16,21] c: [9] | `- p:[16,22,20,19,18] c: [16] * Step 4: SizeAbstraction MAYBE + 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) [-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) [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) True (?,1) 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) True (?,1) 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) [-1 + v_2 >= 0] (?,1) 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) [0 >= v_2] (?,1) 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) True (?,1) 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) [-1 + v_n_1 >= 0] (?,1) 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) [0 >= v_n_1] (?,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) True (?,1) 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) True (?,1) 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) [-1 + v_6 >= 0] (?,1) 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) [0 >= v_6] (?,1) 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) True (?,1) 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) True (?,1) 24. eval_start_bb6_in(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) -> exitus616(v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1) True (?,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) ;(exitus616,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{23,24},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->{},24->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24] | `- p:[9,15,13,12,11,17,14,22,20,19,18,16,21] c: [9] | `- p:[16,22,20,19,18] c: [16]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 5: FlowAbstraction MAYBE + Considered Problem: Program: Domain: [v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1,0.0,0.0.0] eval_start_start ~> eval_start_bb0_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb0_in ~> eval_start_0 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_0 ~> eval_start_1 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_1 ~> eval_start_2 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_2 ~> eval_start_3 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_3 ~> eval_start_4 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_4 ~> eval_start_5 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_5 ~> eval_start_6 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_6 ~> eval_start__critedge_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_m, v_m <= v_m, v_n_0 <= 0*K, v_n_1 <= v_n_1] eval_start__critedge_in ~> eval_start_bb1_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start__critedge_in ~> eval_start_bb6_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb1_in ~> eval_start_8 [v_1 <= K + v_i_0, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_8 ~> eval_start_9 [v_1 <= v_1, v_2 <= unknown, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_9 ~> eval_start_bb2_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_9 ~> eval_start_bb3_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_0] eval_start_bb2_in ~> eval_start__critedge_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_1, v_m <= v_m, v_n_0 <= K + v_n_0, v_n_1 <= v_n_1] eval_start_bb3_in ~> eval_start_bb4_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb3_in ~> eval_start__critedge_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_1, v_m <= v_m, v_n_0 <= v_n_1, v_n_1 <= v_n_1] eval_start_bb4_in ~> eval_start_12 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_12 ~> eval_start_13 [v_1 <= v_1, v_2 <= v_2, v_6 <= unknown, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_13 ~> eval_start_bb5_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_13 ~> eval_start__critedge_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_1, v_m <= v_m, v_n_0 <= v_n_1, v_n_1 <= v_n_1] eval_start_bb5_in ~> eval_start_bb3_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= K + v_n_1] eval_start_bb6_in ~> eval_start_stop [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb6_in ~> exitus616 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] + Loop: [0.0 <= K + v_1 + v_i_0] eval_start__critedge_in ~> eval_start_bb1_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb2_in ~> eval_start__critedge_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_1, v_m <= v_m, v_n_0 <= K + v_n_0, v_n_1 <= v_n_1] eval_start_9 ~> eval_start_bb2_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_8 ~> eval_start_9 [v_1 <= v_1, v_2 <= unknown, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb1_in ~> eval_start_8 [v_1 <= K + v_i_0, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb3_in ~> eval_start__critedge_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_1, v_m <= v_m, v_n_0 <= v_n_1, v_n_1 <= v_n_1] eval_start_9 ~> eval_start_bb3_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_0] eval_start_bb5_in ~> eval_start_bb3_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= K + v_n_1] eval_start_13 ~> eval_start_bb5_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_12 ~> eval_start_13 [v_1 <= v_1, v_2 <= v_2, v_6 <= unknown, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb4_in ~> eval_start_12 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb3_in ~> eval_start_bb4_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_13 ~> eval_start__critedge_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_1, v_m <= v_m, v_n_0 <= v_n_1, v_n_1 <= v_n_1] + Loop: [0.0.0 <= 2*K + v_n_1] eval_start_bb3_in ~> eval_start_bb4_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb5_in ~> eval_start_bb3_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= K + v_n_1] eval_start_13 ~> eval_start_bb5_in [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_12 ~> eval_start_13 [v_1 <= v_1, v_2 <= v_2, v_6 <= unknown, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] eval_start_bb4_in ~> eval_start_12 [v_1 <= v_1, v_2 <= v_2, v_6 <= v_6, v_i_0 <= v_i_0, v_m <= v_m, v_n_0 <= v_n_0, v_n_1 <= v_n_1] + Applied Processor: FlowAbstraction + Details: () * Step 6: LareProcessor MAYBE + Considered Problem: Program: Domain: [tick,huge,K,v_1,v_2,v_6,v_i_0,v_m,v_n_0,v_n_1,0.0,0.0.0] eval_start_start ~> eval_start_bb0_in [] eval_start_bb0_in ~> eval_start_0 [] eval_start_0 ~> eval_start_1 [] eval_start_1 ~> eval_start_2 [] eval_start_2 ~> eval_start_3 [] eval_start_3 ~> eval_start_4 [] eval_start_4 ~> eval_start_5 [] eval_start_5 ~> eval_start_6 [] eval_start_6 ~> eval_start__critedge_in [v_m ~=> v_i_0,K ~=> v_n_0] eval_start__critedge_in ~> eval_start_bb1_in [] eval_start__critedge_in ~> eval_start_bb6_in [] eval_start_bb1_in ~> eval_start_8 [v_i_0 ~+> v_1,K ~+> v_1] eval_start_8 ~> eval_start_9 [huge ~=> v_2] eval_start_9 ~> eval_start_bb2_in [] eval_start_9 ~> eval_start_bb3_in [v_n_0 ~=> v_n_1] eval_start_bb2_in ~> eval_start__critedge_in [v_1 ~=> v_i_0,v_n_0 ~+> v_n_0,K ~+> v_n_0] eval_start_bb3_in ~> eval_start_bb4_in [] eval_start_bb3_in ~> eval_start__critedge_in [v_1 ~=> v_i_0,v_n_1 ~=> v_n_0] eval_start_bb4_in ~> eval_start_12 [] eval_start_12 ~> eval_start_13 [huge ~=> v_6] eval_start_13 ~> eval_start_bb5_in [] eval_start_13 ~> eval_start__critedge_in [v_1 ~=> v_i_0,v_n_1 ~=> v_n_0] eval_start_bb5_in ~> eval_start_bb3_in [v_n_1 ~+> v_n_1,K ~+> v_n_1] eval_start_bb6_in ~> eval_start_stop [] eval_start_bb6_in ~> exitus616 [] + Loop: [v_1 ~+> 0.0,v_i_0 ~+> 0.0,K ~+> 0.0] eval_start__critedge_in ~> eval_start_bb1_in [] eval_start_bb2_in ~> eval_start__critedge_in [v_1 ~=> v_i_0,v_n_0 ~+> v_n_0,K ~+> v_n_0] eval_start_9 ~> eval_start_bb2_in [] eval_start_8 ~> eval_start_9 [huge ~=> v_2] eval_start_bb1_in ~> eval_start_8 [v_i_0 ~+> v_1,K ~+> v_1] eval_start_bb3_in ~> eval_start__critedge_in [v_1 ~=> v_i_0,v_n_1 ~=> v_n_0] eval_start_9 ~> eval_start_bb3_in [v_n_0 ~=> v_n_1] eval_start_bb5_in ~> eval_start_bb3_in [v_n_1 ~+> v_n_1,K ~+> v_n_1] eval_start_13 ~> eval_start_bb5_in [] eval_start_12 ~> eval_start_13 [huge ~=> v_6] eval_start_bb4_in ~> eval_start_12 [] eval_start_bb3_in ~> eval_start_bb4_in [] eval_start_13 ~> eval_start__critedge_in [v_1 ~=> v_i_0,v_n_1 ~=> v_n_0] + Loop: [v_n_1 ~+> 0.0.0,K ~*> 0.0.0] eval_start_bb3_in ~> eval_start_bb4_in [] eval_start_bb5_in ~> eval_start_bb3_in [v_n_1 ~+> v_n_1,K ~+> v_n_1] eval_start_13 ~> eval_start_bb5_in [] eval_start_12 ~> eval_start_13 [huge ~=> v_6] eval_start_bb4_in ~> eval_start_12 [] + Applied Processor: LareProcessor + Details: eval_start_start ~> eval_start_stop [v_m ~=> v_i_0 ,K ~=> v_n_0 ,K ~=> v_n_1 ,huge ~=> v_2 ,huge ~=> v_6 ,v_1 ~+> 0.0 ,v_1 ~+> tick ,v_m ~+> v_1 ,v_m ~+> v_i_0 ,v_m ~+> 0.0 ,v_m ~+> tick ,tick ~+> tick ,K ~+> v_1 ,K ~+> v_i_0 ,K ~+> v_n_0 ,K ~+> v_n_1 ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_1 ~*> v_i_0 ,v_1 ~*> v_n_0 ,v_1 ~*> v_n_1 ,v_1 ~*> 0.0.0 ,v_1 ~*> tick ,v_m ~*> v_i_0 ,v_m ~*> v_n_0 ,v_m ~*> v_n_1 ,v_m ~*> 0.0.0 ,v_m ~*> tick ,K ~*> v_1 ,K ~*> v_i_0 ,K ~*> v_n_0 ,K ~*> v_n_1 ,K ~*> 0.0.0 ,K ~*> tick ,v_1 ~^> v_n_0 ,v_1 ~^> v_n_1 ,v_1 ~^> 0.0.0 ,v_1 ~^> tick ,v_m ~^> v_n_0 ,v_m ~^> v_n_1 ,v_m ~^> 0.0.0 ,v_m ~^> tick ,K ~^> v_n_0 ,K ~^> v_n_1 ,K ~^> 0.0.0 ,K ~^> tick] eval_start_start ~> exitus616 [v_m ~=> v_i_0 ,K ~=> v_n_0 ,K ~=> v_n_1 ,huge ~=> v_2 ,huge ~=> v_6 ,v_1 ~+> 0.0 ,v_1 ~+> tick ,v_m ~+> v_1 ,v_m ~+> v_i_0 ,v_m ~+> 0.0 ,v_m ~+> tick ,tick ~+> tick ,K ~+> v_1 ,K ~+> v_i_0 ,K ~+> v_n_0 ,K ~+> v_n_1 ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_1 ~*> v_i_0 ,v_1 ~*> v_n_0 ,v_1 ~*> v_n_1 ,v_1 ~*> 0.0.0 ,v_1 ~*> tick ,v_m ~*> v_i_0 ,v_m ~*> v_n_0 ,v_m ~*> v_n_1 ,v_m ~*> 0.0.0 ,v_m ~*> tick ,K ~*> v_1 ,K ~*> v_i_0 ,K ~*> v_n_0 ,K ~*> v_n_1 ,K ~*> 0.0.0 ,K ~*> tick ,v_1 ~^> v_n_0 ,v_1 ~^> v_n_1 ,v_1 ~^> 0.0.0 ,v_1 ~^> tick ,v_m ~^> v_n_0 ,v_m ~^> v_n_1 ,v_m ~^> 0.0.0 ,v_m ~^> tick ,K ~^> v_n_0 ,K ~^> v_n_1 ,K ~^> 0.0.0 ,K ~^> tick] + eval_start__critedge_in> [v_n_0 ~=> v_n_1 ,huge ~=> v_2 ,huge ~=> v_6 ,v_1 ~+> 0.0 ,v_1 ~+> tick ,v_i_0 ~+> v_1 ,v_i_0 ~+> v_i_0 ,v_i_0 ~+> 0.0 ,v_i_0 ~+> tick ,v_n_0 ~+> v_n_0 ,v_n_0 ~+> v_n_1 ,v_n_0 ~+> 0.0.0 ,v_n_0 ~+> tick ,tick ~+> tick ,K ~+> v_1 ,K ~+> v_i_0 ,K ~+> v_n_0 ,K ~+> v_n_1 ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_1 ~*> v_i_0 ,v_1 ~*> v_n_0 ,v_1 ~*> v_n_1 ,v_1 ~*> 0.0.0 ,v_1 ~*> tick ,v_i_0 ~*> v_i_0 ,v_i_0 ~*> v_n_0 ,v_i_0 ~*> v_n_1 ,v_i_0 ~*> 0.0.0 ,v_i_0 ~*> tick ,v_n_0 ~*> v_n_0 ,v_n_0 ~*> v_n_1 ,v_n_0 ~*> 0.0.0 ,v_n_0 ~*> tick ,K ~*> v_1 ,K ~*> v_i_0 ,K ~*> v_n_0 ,K ~*> v_n_1 ,K ~*> 0.0.0 ,K ~*> tick ,v_1 ~^> v_n_0 ,v_1 ~^> v_n_1 ,v_1 ~^> 0.0.0 ,v_1 ~^> tick ,v_i_0 ~^> v_n_0 ,v_i_0 ~^> v_n_1 ,v_i_0 ~^> 0.0.0 ,v_i_0 ~^> tick ,K ~^> v_n_0 ,K ~^> v_n_1 ,K ~^> 0.0.0 ,K ~^> tick] + eval_start_bb3_in> [huge ~=> v_6 ,v_n_1 ~+> v_n_1 ,v_n_1 ~+> 0.0.0 ,v_n_1 ~+> tick ,tick ~+> tick ,K ~+> v_n_1 ,v_n_1 ~*> v_n_1 ,K ~*> v_n_1 ,K ~*> 0.0.0 ,K ~*> tick] eval_start_13> [huge ~=> v_6 ,v_n_1 ~+> v_n_1 ,v_n_1 ~+> 0.0.0 ,v_n_1 ~+> tick ,tick ~+> tick ,K ~+> v_n_1 ,v_n_1 ~*> v_n_1 ,K ~*> v_n_1 ,K ~*> 0.0.0 ,K ~*> tick] YES(?,PRIMREC)