YES * Step 1: FromIts YES + 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: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: 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 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 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 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 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 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 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 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 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 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] 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] 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 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 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] 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] 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 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] 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] 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 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 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] 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] 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 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 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)} Rule 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: Decompose NoGreedy + 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] | `- p:[9,15,13,12,11,17,14,22,20,19,18,16,21] c: [9,11,12,13,14,15,17,21] | `- p:[16,22,20,19,18] c: [16,18,19,20,22] * Step 3: CloseWith YES + Considered Problem: (Rules: 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 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 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 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 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 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 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 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 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 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] 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] 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 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 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] 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] 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 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] 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] 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 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 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] 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] 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 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 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)} Rule 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->{}] ,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] | `- p:[9,15,13,12,11,17,14,22,20,19,18,16,21] c: [9,11,12,13,14,15,17,21] | `- p:[16,22,20,19,18] c: [16,18,19,20,22]) + Applied Processor: CloseWith True + Details: () YES