YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. eval_terminatorbubble_start(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb0_in(v_11,v_b_0,v_j_0,v_size,v_t_0) True (1,1) 1. eval_terminatorbubble_bb0_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_0(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 2. eval_terminatorbubble_0(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_1(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 3. eval_terminatorbubble_1(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_2(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 4. eval_terminatorbubble_2(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 5. eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_size,v_j_0,v_size,v_t_0) [-1 + v_size >= 0] (?,1) 6. eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_size] (?,1) 7. eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_b_0] (?,1) 8. eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_size] (?,1) 9. eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1,v_size,0) [v_b_0 >= 1 && -1 + v_size >= 0] (?,1) 10. eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_b_0 >= v_j_0] (?,1) 11. eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_j_0 >= -1 + v_b_0] (?,1) 12. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_j_0] (?,1) 13. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_j_0 >= v_size] (?,1) 14. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_j_0 >= 1 && v_size >= v_j_0] (?,1) 15. eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= 1 + v_j_0] (?,1) 16. eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_j_0 >= v_size] (?,1) 17. eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb5_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [1 + v_j_0 >= 1 && v_size >= 1 + v_j_0] (?,1) 18. eval_terminatorbubble_bb5_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_9(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 19. eval_terminatorbubble_9(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_10(nondef_0,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 20. eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1 + v_j_0,v_size,v_j_0) [-1 + v_11 >= 0] (?,1) 21. eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1 + v_j_0,v_size,v_t_0) [0 >= v_11] (?,1) 22. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_t_0] (?,1) 23. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_t_0 >= v_b_0] (?,1) 24. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_t_0,v_j_0,v_size,v_t_0) [v_t_0 >= 1 && -1 + v_b_0 >= v_t_0] (?,1) 25. eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_stop(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) Signature: {(eval_terminatorbubble_0,5) ;(eval_terminatorbubble_1,5) ;(eval_terminatorbubble_10,5) ;(eval_terminatorbubble_2,5) ;(eval_terminatorbubble_3,5) ;(eval_terminatorbubble_9,5) ;(eval_terminatorbubble_bb0_in,5) ;(eval_terminatorbubble_bb1_in,5) ;(eval_terminatorbubble_bb2_in,5) ;(eval_terminatorbubble_bb3_in,5) ;(eval_terminatorbubble_bb4_in,5) ;(eval_terminatorbubble_bb5_in,5) ;(eval_terminatorbubble_bb6_in,5) ;(eval_terminatorbubble_bb7_in,5) ;(eval_terminatorbubble_start,5) ;(eval_terminatorbubble_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8,9},6->{25},7->{25},8->{25},9->{10,11},10->{12,13,14},11->{22 ,23,24},12->{25},13->{25},14->{15,16,17},15->{25},16->{25},17->{18},18->{19},19->{20,21},20->{10,11},21->{10 ,11},22->{25},23->{25},24->{7,8,9},25->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(5,7),(5,8),(14,15),(24,7)] * Step 2: UnreachableRules YES + Considered Problem: Rules: 0. eval_terminatorbubble_start(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb0_in(v_11,v_b_0,v_j_0,v_size,v_t_0) True (1,1) 1. eval_terminatorbubble_bb0_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_0(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 2. eval_terminatorbubble_0(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_1(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 3. eval_terminatorbubble_1(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_2(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 4. eval_terminatorbubble_2(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 5. eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_size,v_j_0,v_size,v_t_0) [-1 + v_size >= 0] (?,1) 6. eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_size] (?,1) 7. eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_b_0] (?,1) 8. eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_size] (?,1) 9. eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1,v_size,0) [v_b_0 >= 1 && -1 + v_size >= 0] (?,1) 10. eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_b_0 >= v_j_0] (?,1) 11. eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_j_0 >= -1 + v_b_0] (?,1) 12. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_j_0] (?,1) 13. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_j_0 >= v_size] (?,1) 14. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_j_0 >= 1 && v_size >= v_j_0] (?,1) 15. eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= 1 + v_j_0] (?,1) 16. eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_j_0 >= v_size] (?,1) 17. eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb5_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [1 + v_j_0 >= 1 && v_size >= 1 + v_j_0] (?,1) 18. eval_terminatorbubble_bb5_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_9(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 19. eval_terminatorbubble_9(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_10(nondef_0,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 20. eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1 + v_j_0,v_size,v_j_0) [-1 + v_11 >= 0] (?,1) 21. eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1 + v_j_0,v_size,v_t_0) [0 >= v_11] (?,1) 22. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_t_0] (?,1) 23. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_t_0 >= v_b_0] (?,1) 24. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_t_0,v_j_0,v_size,v_t_0) [v_t_0 >= 1 && -1 + v_b_0 >= v_t_0] (?,1) 25. eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_stop(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) Signature: {(eval_terminatorbubble_0,5) ;(eval_terminatorbubble_1,5) ;(eval_terminatorbubble_10,5) ;(eval_terminatorbubble_2,5) ;(eval_terminatorbubble_3,5) ;(eval_terminatorbubble_9,5) ;(eval_terminatorbubble_bb0_in,5) ;(eval_terminatorbubble_bb1_in,5) ;(eval_terminatorbubble_bb2_in,5) ;(eval_terminatorbubble_bb3_in,5) ;(eval_terminatorbubble_bb4_in,5) ;(eval_terminatorbubble_bb5_in,5) ;(eval_terminatorbubble_bb6_in,5) ;(eval_terminatorbubble_bb7_in,5) ;(eval_terminatorbubble_start,5) ;(eval_terminatorbubble_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{9},6->{25},7->{25},8->{25},9->{10,11},10->{12,13,14},11->{22,23 ,24},12->{25},13->{25},14->{16,17},15->{25},16->{25},17->{18},18->{19},19->{20,21},20->{10,11},21->{10,11} ,22->{25},23->{25},24->{8,9},25->{}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [7,15] * Step 3: FromIts YES + Considered Problem: Rules: 0. eval_terminatorbubble_start(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb0_in(v_11,v_b_0,v_j_0,v_size,v_t_0) True (1,1) 1. eval_terminatorbubble_bb0_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_0(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 2. eval_terminatorbubble_0(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_1(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 3. eval_terminatorbubble_1(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_2(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 4. eval_terminatorbubble_2(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 5. eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_size,v_j_0,v_size,v_t_0) [-1 + v_size >= 0] (?,1) 6. eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_size] (?,1) 8. eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_size] (?,1) 9. eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1,v_size,0) [v_b_0 >= 1 && -1 + v_size >= 0] (?,1) 10. eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_b_0 >= v_j_0] (?,1) 11. eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_j_0 >= -1 + v_b_0] (?,1) 12. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_j_0] (?,1) 13. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [-1 + v_j_0 >= v_size] (?,1) 14. eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_j_0 >= 1 && v_size >= v_j_0] (?,1) 16. eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_j_0 >= v_size] (?,1) 17. eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb5_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [1 + v_j_0 >= 1 && v_size >= 1 + v_j_0] (?,1) 18. eval_terminatorbubble_bb5_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_9(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 19. eval_terminatorbubble_9(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_10(nondef_0,v_b_0,v_j_0,v_size,v_t_0) True (?,1) 20. eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1 + v_j_0,v_size,v_j_0) [-1 + v_11 >= 0] (?,1) 21. eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1 + v_j_0,v_size,v_t_0) [0 >= v_11] (?,1) 22. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [0 >= v_t_0] (?,1) 23. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) [v_t_0 >= v_b_0] (?,1) 24. eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_t_0,v_j_0,v_size,v_t_0) [v_t_0 >= 1 && -1 + v_b_0 >= v_t_0] (?,1) 25. eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_stop(v_11,v_b_0,v_j_0,v_size,v_t_0) True (?,1) Signature: {(eval_terminatorbubble_0,5) ;(eval_terminatorbubble_1,5) ;(eval_terminatorbubble_10,5) ;(eval_terminatorbubble_2,5) ;(eval_terminatorbubble_3,5) ;(eval_terminatorbubble_9,5) ;(eval_terminatorbubble_bb0_in,5) ;(eval_terminatorbubble_bb1_in,5) ;(eval_terminatorbubble_bb2_in,5) ;(eval_terminatorbubble_bb3_in,5) ;(eval_terminatorbubble_bb4_in,5) ;(eval_terminatorbubble_bb5_in,5) ;(eval_terminatorbubble_bb6_in,5) ;(eval_terminatorbubble_bb7_in,5) ;(eval_terminatorbubble_start,5) ;(eval_terminatorbubble_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{9},6->{25},8->{25},9->{10,11},10->{12,13,14},11->{22,23,24} ,12->{25},13->{25},14->{16,17},16->{25},17->{18},18->{19},19->{20,21},20->{10,11},21->{10,11},22->{25} ,23->{25},24->{8,9},25->{}] + Applied Processor: FromIts + Details: () * Step 4: Decompose YES + Considered Problem: Rules: eval_terminatorbubble_start(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb0_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) True eval_terminatorbubble_bb0_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_0(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_0(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_1(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_1(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_2(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_2(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_3(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_size ,v_j_0,v_size ,v_t_0) [-1 + v_size >= 0] eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [0 >= v_size] eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [0 >= v_size] eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1 ,v_size ,0) [v_b_0 >= 1 && -1 + v_size >= 0] eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb3_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [-1 + v_b_0 >= v_j_0] eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb6_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [-1 + v_j_0 >= -1 + v_b_0] eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [0 >= v_j_0] eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [-1 + v_j_0 >= v_size] eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb4_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [v_j_0 >= 1 && v_size >= v_j_0] eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [v_j_0 >= v_size] eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb5_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [1 + v_j_0 >= 1 && v_size >= 1 + v_j_0] eval_terminatorbubble_bb5_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_9(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_9(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_10(nondef_0,v_b_0 ,v_j_0,v_size ,v_t_0) True eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0 ,1 + v_j_0,v_size ,v_j_0) [-1 + v_11 >= 0] eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0 ,1 + v_j_0,v_size ,v_t_0) [0 >= v_11] eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [0 >= v_t_0] eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [v_t_0 >= v_b_0] eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_t_0 ,v_j_0,v_size ,v_t_0) [v_t_0 >= 1 && -1 + v_b_0 >= v_t_0] eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_stop(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True Signature: {(eval_terminatorbubble_0,5) ;(eval_terminatorbubble_1,5) ;(eval_terminatorbubble_10,5) ;(eval_terminatorbubble_2,5) ;(eval_terminatorbubble_3,5) ;(eval_terminatorbubble_9,5) ;(eval_terminatorbubble_bb0_in,5) ;(eval_terminatorbubble_bb1_in,5) ;(eval_terminatorbubble_bb2_in,5) ;(eval_terminatorbubble_bb3_in,5) ;(eval_terminatorbubble_bb4_in,5) ;(eval_terminatorbubble_bb5_in,5) ;(eval_terminatorbubble_bb6_in,5) ;(eval_terminatorbubble_bb7_in,5) ;(eval_terminatorbubble_start,5) ;(eval_terminatorbubble_stop,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{9},6->{25},8->{25},9->{10,11},10->{12,13,14},11->{22,23,24} ,12->{25},13->{25},14->{16,17},16->{25},17->{18},18->{19},19->{20,21},20->{10,11},21->{10,11},22->{25} ,23->{25},24->{8,9},25->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25] | `- p:[9,24,11,20,19,18,17,14,10,21] c: [9,11,24] | `- p:[10,20,19,18,17,14,21] c: [10,14,17,18,19,20,21] * Step 5: CloseWith YES + Considered Problem: (Rules: eval_terminatorbubble_start(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb0_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) True eval_terminatorbubble_bb0_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_0(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_0(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_1(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_1(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_2(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_2(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_3(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_size ,v_j_0,v_size ,v_t_0) [-1 + v_size >= 0] eval_terminatorbubble_3(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [0 >= v_size] eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [0 >= v_size] eval_terminatorbubble_bb1_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0,1 ,v_size ,0) [v_b_0 >= 1 && -1 + v_size >= 0] eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb3_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [-1 + v_b_0 >= v_j_0] eval_terminatorbubble_bb2_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb6_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [-1 + v_j_0 >= -1 + v_b_0] eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [0 >= v_j_0] eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [-1 + v_j_0 >= v_size] eval_terminatorbubble_bb3_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb4_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [v_j_0 >= 1 && v_size >= v_j_0] eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [v_j_0 >= v_size] eval_terminatorbubble_bb4_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb5_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [1 + v_j_0 >= 1 && v_size >= 1 + v_j_0] eval_terminatorbubble_bb5_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_9(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True eval_terminatorbubble_9(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_10(nondef_0,v_b_0 ,v_j_0,v_size ,v_t_0) True eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0 ,1 + v_j_0,v_size ,v_j_0) [-1 + v_11 >= 0] eval_terminatorbubble_10(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb2_in(v_11,v_b_0 ,1 + v_j_0,v_size ,v_t_0) [0 >= v_11] eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [0 >= v_t_0] eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb7_in(v_11,v_b_0 ,v_j_0,v_size ,v_t_0) [v_t_0 >= v_b_0] eval_terminatorbubble_bb6_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_bb1_in(v_11,v_t_0 ,v_j_0,v_size ,v_t_0) [v_t_0 >= 1 && -1 + v_b_0 >= v_t_0] eval_terminatorbubble_bb7_in(v_11,v_b_0,v_j_0,v_size,v_t_0) -> eval_terminatorbubble_stop(v_11,v_b_0,v_j_0 ,v_size ,v_t_0) True Signature: {(eval_terminatorbubble_0,5) ;(eval_terminatorbubble_1,5) ;(eval_terminatorbubble_10,5) ;(eval_terminatorbubble_2,5) ;(eval_terminatorbubble_3,5) ;(eval_terminatorbubble_9,5) ;(eval_terminatorbubble_bb0_in,5) ;(eval_terminatorbubble_bb1_in,5) ;(eval_terminatorbubble_bb2_in,5) ;(eval_terminatorbubble_bb3_in,5) ;(eval_terminatorbubble_bb4_in,5) ;(eval_terminatorbubble_bb5_in,5) ;(eval_terminatorbubble_bb6_in,5) ;(eval_terminatorbubble_bb7_in,5) ;(eval_terminatorbubble_start,5) ;(eval_terminatorbubble_stop,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{9},6->{25},8->{25},9->{10,11},10->{12,13,14},11->{22,23,24} ,12->{25},13->{25},14->{16,17},16->{25},17->{18},18->{19},19->{20,21},20->{10,11},21->{10,11},22->{25} ,23->{25},24->{8,9},25->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25] | `- p:[9,24,11,20,19,18,17,14,10,21] c: [9,11,24] | `- p:[10,20,19,18,17,14,21] c: [10,14,17,18,19,20,21]) + Applied Processor: CloseWith True + Details: () YES