YES * Step 1: FromIts YES + Considered Problem: Rules: 0. eval_start_start(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) True (1,1) 1. eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 2. eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 3. eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 4. eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 5. eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 6. eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 7. eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_n,v_y,v__1,v_1,v_n,v_y) True (?,1) 8. eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) [-1 >= v__0] (?,1) 9. eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) [v__0 >= 0] (?,1) 10. eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,1000 + v__01,1 + v__0,v_n,v_y) True (?,1) 11. eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) [v__1 >= 100] (?,1) 12. eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_1,v__1,v__1,v_1,v_n,v_y) [99 >= v__1] (?,1) 13. eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,-100 + v__1,v_1,v_n,v_y) True (?,1) 14. eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_stop(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_start,6) ;(eval_start_stop,6)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{14},10->{11,12},11->{13},12->{8,9} ,13->{11,12},14->{}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: eval_start_start(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_0(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_1(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_2(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_3(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_4(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_5(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_n,v_y,v__1,v_1,v_n ,v_y) True eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n ,v_y) [-1 >= v__0] eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__0 >= 0] eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,1000 + v__01,1 + v__0,v_n ,v_y) True eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__1 >= 100] eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_1,v__1,v__1,v_1,v_n ,v_y) [99 >= v__1] eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,-100 + v__1,v_1,v_n ,v_y) True eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_stop(v__0,v__01,v__1,v_1,v_n ,v_y) True Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_start,6) ;(eval_start_stop,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{14},10->{11,12},11->{13},12->{8,9} ,13->{11,12},14->{}] + 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] | `- p:[8,12,10,13,11] c: [8,10,12] | `- p:[11,13] c: [11,13] * Step 3: CloseWith YES + Considered Problem: (Rules: eval_start_start(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_0(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_1(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_2(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_3(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_4(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_5(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_n,v_y,v__1,v_1,v_n ,v_y) True eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n ,v_y) [-1 >= v__0] eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__0 >= 0] eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,1000 + v__01,1 + v__0,v_n ,v_y) True eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__1 >= 100] eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_1,v__1,v__1,v_1,v_n ,v_y) [99 >= v__1] eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,-100 + v__1,v_1,v_n ,v_y) True eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_stop(v__0,v__01,v__1,v_1,v_n ,v_y) True Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_start,6) ;(eval_start_stop,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{14},10->{11,12},11->{13},12->{8,9} ,13->{11,12},14->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14] | `- p:[8,12,10,13,11] c: [8,10,12] | `- p:[11,13] c: [11,13]) + Applied Processor: CloseWith True + Details: () YES