YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. eval_realselect_start(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb0_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (1,1) 1. eval_realselect_bb0_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_0(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 2. eval_realselect_0(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_1(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 3. eval_realselect_1(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_2(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 4. eval_realselect_2(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_3(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 5. eval_realselect_3(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_4(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 6. eval_realselect_4(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_5(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 7. eval_realselect_5(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_6(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 8. eval_realselect_6(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb1_in(v_2,v_21,v_array_size,0,v_j_0_sink) True (?,1) 9. eval_realselect_bb1_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_i_0) [-2 + v_array_size >= v_i_0] (?,1) 10. eval_realselect_bb1_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb5_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) [v_i_0 >= -1 + v_array_size] (?,1) 11. eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb3_in(1 + v_j_0_sink,v_21,v_array_size,v_i_0,v_j_0_sink) [-1 + v_array_size >= 1 + v_j_0_sink] (?,1) 12. eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb4_in(1 + v_j_0_sink,v_21,v_array_size,v_i_0,v_j_0_sink) [1 + v_j_0_sink >= v_array_size] (?,1) 13. eval_realselect_bb3_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_2) [-1 + nondef_1 >= nondef_0] (?,1) 14. eval_realselect_bb3_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_2) [nondef_0 >= nondef_1] (?,1) 15. eval_realselect_bb4_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_19(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 16. eval_realselect_19(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_20(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 17. eval_realselect_20(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_27(v_2,1 + v_i_0,v_array_size,v_i_0,v_j_0_sink) True (?,1) 18. eval_realselect_27(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_28(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 19. eval_realselect_28(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb1_in(v_2,v_21,v_array_size,v_21,v_j_0_sink) True (?,1) 20. eval_realselect_bb5_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_stop(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) Signature: {(eval_realselect_0,5) ;(eval_realselect_1,5) ;(eval_realselect_19,5) ;(eval_realselect_2,5) ;(eval_realselect_20,5) ;(eval_realselect_27,5) ;(eval_realselect_28,5) ;(eval_realselect_3,5) ;(eval_realselect_4,5) ;(eval_realselect_5,5) ;(eval_realselect_6,5) ;(eval_realselect_bb0_in,5) ;(eval_realselect_bb1_in,5) ;(eval_realselect_bb2_in,5) ;(eval_realselect_bb3_in,5) ;(eval_realselect_bb4_in,5) ;(eval_realselect_bb5_in,5) ;(eval_realselect_start,5) ;(eval_realselect_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{20},11->{13,14} ,12->{15},13->{11,12},14->{11,12},15->{16},16->{17},17->{18},18->{19},19->{9,10},20->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(9,12)] * Step 2: FromIts YES + Considered Problem: Rules: 0. eval_realselect_start(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb0_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (1,1) 1. eval_realselect_bb0_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_0(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 2. eval_realselect_0(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_1(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 3. eval_realselect_1(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_2(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 4. eval_realselect_2(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_3(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 5. eval_realselect_3(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_4(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 6. eval_realselect_4(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_5(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 7. eval_realselect_5(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_6(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 8. eval_realselect_6(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb1_in(v_2,v_21,v_array_size,0,v_j_0_sink) True (?,1) 9. eval_realselect_bb1_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_i_0) [-2 + v_array_size >= v_i_0] (?,1) 10. eval_realselect_bb1_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb5_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) [v_i_0 >= -1 + v_array_size] (?,1) 11. eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb3_in(1 + v_j_0_sink,v_21,v_array_size,v_i_0,v_j_0_sink) [-1 + v_array_size >= 1 + v_j_0_sink] (?,1) 12. eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb4_in(1 + v_j_0_sink,v_21,v_array_size,v_i_0,v_j_0_sink) [1 + v_j_0_sink >= v_array_size] (?,1) 13. eval_realselect_bb3_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_2) [-1 + nondef_1 >= nondef_0] (?,1) 14. eval_realselect_bb3_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_2) [nondef_0 >= nondef_1] (?,1) 15. eval_realselect_bb4_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_19(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 16. eval_realselect_19(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_20(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 17. eval_realselect_20(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_27(v_2,1 + v_i_0,v_array_size,v_i_0,v_j_0_sink) True (?,1) 18. eval_realselect_27(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_28(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) 19. eval_realselect_28(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb1_in(v_2,v_21,v_array_size,v_21,v_j_0_sink) True (?,1) 20. eval_realselect_bb5_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_stop(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) True (?,1) Signature: {(eval_realselect_0,5) ;(eval_realselect_1,5) ;(eval_realselect_19,5) ;(eval_realselect_2,5) ;(eval_realselect_20,5) ;(eval_realselect_27,5) ;(eval_realselect_28,5) ;(eval_realselect_3,5) ;(eval_realselect_4,5) ;(eval_realselect_5,5) ;(eval_realselect_6,5) ;(eval_realselect_bb0_in,5) ;(eval_realselect_bb1_in,5) ;(eval_realselect_bb2_in,5) ;(eval_realselect_bb3_in,5) ;(eval_realselect_bb4_in,5) ;(eval_realselect_bb5_in,5) ;(eval_realselect_start,5) ;(eval_realselect_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{20},11->{13,14},12->{15} ,13->{11,12},14->{11,12},15->{16},16->{17},17->{18},18->{19},19->{9,10},20->{}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: eval_realselect_start(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb0_in(v_2,v_21 ,v_array_size,v_i_0 ,v_j_0_sink) True eval_realselect_bb0_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_0(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_0(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_1(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_1(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_2(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_2(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_3(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_3(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_4(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_4(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_5(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_5(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_6(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_6(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb1_in(v_2,v_21 ,v_array_size,0 ,v_j_0_sink) True eval_realselect_bb1_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21 ,v_array_size,v_i_0 ,v_i_0) [-2 + v_array_size >= v_i_0] eval_realselect_bb1_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb5_in(v_2,v_21 ,v_array_size,v_i_0 ,v_j_0_sink) [v_i_0 >= -1 + v_array_size] eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb3_in(1 + v_j_0_sink ,v_21,v_array_size,v_i_0 ,v_j_0_sink) [-1 + v_array_size >= 1 + v_j_0_sink] eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb4_in(1 + v_j_0_sink ,v_21,v_array_size,v_i_0 ,v_j_0_sink) [1 + v_j_0_sink >= v_array_size] eval_realselect_bb3_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21 ,v_array_size,v_i_0 ,v_2) [-1 + nondef_1 >= nondef_0] eval_realselect_bb3_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21 ,v_array_size,v_i_0 ,v_2) [nondef_0 >= nondef_1] eval_realselect_bb4_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_19(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_19(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_20(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_20(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_27(v_2,1 + v_i_0 ,v_array_size,v_i_0 ,v_j_0_sink) True eval_realselect_27(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_28(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_28(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb1_in(v_2,v_21 ,v_array_size,v_21 ,v_j_0_sink) True eval_realselect_bb5_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_stop(v_2,v_21 ,v_array_size,v_i_0 ,v_j_0_sink) True Signature: {(eval_realselect_0,5) ;(eval_realselect_1,5) ;(eval_realselect_19,5) ;(eval_realselect_2,5) ;(eval_realselect_20,5) ;(eval_realselect_27,5) ;(eval_realselect_28,5) ;(eval_realselect_3,5) ;(eval_realselect_4,5) ;(eval_realselect_5,5) ;(eval_realselect_6,5) ;(eval_realselect_bb0_in,5) ;(eval_realselect_bb1_in,5) ;(eval_realselect_bb2_in,5) ;(eval_realselect_bb3_in,5) ;(eval_realselect_bb4_in,5) ;(eval_realselect_bb5_in,5) ;(eval_realselect_start,5) ;(eval_realselect_stop,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{20},11->{13,14},12->{15} ,13->{11,12},14->{11,12},15->{16},16->{17},17->{18},18->{19},19->{9,10},20->{}] + 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] | `- p:[9,19,18,17,16,15,12,13,11,14] c: [9,12,15,16,17,18,19] | `- p:[11,13,14] c: [11,13,14] * Step 4: CloseWith YES + Considered Problem: (Rules: eval_realselect_start(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb0_in(v_2,v_21 ,v_array_size,v_i_0 ,v_j_0_sink) True eval_realselect_bb0_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_0(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_0(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_1(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_1(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_2(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_2(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_3(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_3(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_4(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_4(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_5(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_5(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_6(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_6(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb1_in(v_2,v_21 ,v_array_size,0 ,v_j_0_sink) True eval_realselect_bb1_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21 ,v_array_size,v_i_0 ,v_i_0) [-2 + v_array_size >= v_i_0] eval_realselect_bb1_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb5_in(v_2,v_21 ,v_array_size,v_i_0 ,v_j_0_sink) [v_i_0 >= -1 + v_array_size] eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb3_in(1 + v_j_0_sink ,v_21,v_array_size,v_i_0 ,v_j_0_sink) [-1 + v_array_size >= 1 + v_j_0_sink] eval_realselect_bb2_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb4_in(1 + v_j_0_sink ,v_21,v_array_size,v_i_0 ,v_j_0_sink) [1 + v_j_0_sink >= v_array_size] eval_realselect_bb3_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21 ,v_array_size,v_i_0 ,v_2) [-1 + nondef_1 >= nondef_0] eval_realselect_bb3_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb2_in(v_2,v_21 ,v_array_size,v_i_0 ,v_2) [nondef_0 >= nondef_1] eval_realselect_bb4_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_19(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_19(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_20(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_20(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_27(v_2,1 + v_i_0 ,v_array_size,v_i_0 ,v_j_0_sink) True eval_realselect_27(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_28(v_2,v_21,v_array_size ,v_i_0 ,v_j_0_sink) True eval_realselect_28(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_bb1_in(v_2,v_21 ,v_array_size,v_21 ,v_j_0_sink) True eval_realselect_bb5_in(v_2,v_21,v_array_size,v_i_0,v_j_0_sink) -> eval_realselect_stop(v_2,v_21 ,v_array_size,v_i_0 ,v_j_0_sink) True Signature: {(eval_realselect_0,5) ;(eval_realselect_1,5) ;(eval_realselect_19,5) ;(eval_realselect_2,5) ;(eval_realselect_20,5) ;(eval_realselect_27,5) ;(eval_realselect_28,5) ;(eval_realselect_3,5) ;(eval_realselect_4,5) ;(eval_realselect_5,5) ;(eval_realselect_6,5) ;(eval_realselect_bb0_in,5) ;(eval_realselect_bb1_in,5) ;(eval_realselect_bb2_in,5) ;(eval_realselect_bb3_in,5) ;(eval_realselect_bb4_in,5) ;(eval_realselect_bb5_in,5) ;(eval_realselect_start,5) ;(eval_realselect_stop,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{20},11->{13,14},12->{15} ,13->{11,12},14->{11,12},15->{16},16->{17},17->{18},18->{19},19->{9,10},20->{}] ,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] | `- p:[9,19,18,17,16,15,12,13,11,14] c: [9,12,15,16,17,18,19] | `- p:[11,13,14] c: [11,13,14]) + Applied Processor: CloseWith True + Details: () YES