YES * Step 1: FromIts YES + Considered Problem: Rules: 0. eval_terminate_start(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb0_in(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 1. eval_terminate_bb0_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_0(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 2. eval_terminate_0(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_1(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 3. eval_terminate_1(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_2(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 4. eval_terminate_2(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_3(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 5. eval_terminate_3(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_4(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 6. eval_terminate_4(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_5(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 7. eval_terminate_5(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_6(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 8. eval_terminate_6(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_7(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 9. eval_terminate_7(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb1_in(v_i,v_j,v_k,v_i,v_j,v_k) True (?,1) 10. eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb2_in(v__0,v__01,v__02,v_i,v_j,v_k) [100 >= v__0 && v__02 >= v__01] (?,1) 11. eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) [-1 + v__0 >= 100] (?,1) 12. eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) [-1 + v__01 >= v__02] (?,1) 13. eval_terminate_bb2_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb1_in(v__01,1 + v__0,-1 + v__02,v_i,v_j,v_k) True (?,1) 14. eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_stop(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) Signature: {(eval_terminate_0,6) ;(eval_terminate_1,6) ;(eval_terminate_2,6) ;(eval_terminate_3,6) ;(eval_terminate_4,6) ;(eval_terminate_5,6) ;(eval_terminate_6,6) ;(eval_terminate_7,6) ;(eval_terminate_bb0_in,6) ;(eval_terminate_bb1_in,6) ;(eval_terminate_bb2_in,6) ;(eval_terminate_bb3_in,6) ;(eval_terminate_start,6) ;(eval_terminate_stop,6)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11,12},10->{13},11->{14},12->{14} ,13->{10,11,12},14->{}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: eval_terminate_start(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb0_in(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_bb0_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_0(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_0(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_1(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_1(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_2(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_2(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_3(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_3(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_4(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_4(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_5(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_5(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_6(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_6(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_7(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_7(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb1_in(v_i,v_j,v_k,v_i,v_j ,v_k) True eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb2_in(v__0,v__01,v__02,v_i,v_j ,v_k) [100 >= v__0 && v__02 >= v__01] eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j ,v_k) [-1 + v__0 >= 100] eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j ,v_k) [-1 + v__01 >= v__02] eval_terminate_bb2_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb1_in(v__01,1 + v__0,-1 + v__02,v_i ,v_j ,v_k) True eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_stop(v__0,v__01,v__02,v_i,v_j ,v_k) True Signature: {(eval_terminate_0,6) ;(eval_terminate_1,6) ;(eval_terminate_2,6) ;(eval_terminate_3,6) ;(eval_terminate_4,6) ;(eval_terminate_5,6) ;(eval_terminate_6,6) ;(eval_terminate_7,6) ;(eval_terminate_bb0_in,6) ;(eval_terminate_bb1_in,6) ;(eval_terminate_bb2_in,6) ;(eval_terminate_bb3_in,6) ;(eval_terminate_start,6) ;(eval_terminate_stop,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11,12},10->{13},11->{14},12->{14} ,13->{10,11,12},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:[10,13] c: [10,13] * Step 3: CloseWith YES + Considered Problem: (Rules: eval_terminate_start(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb0_in(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_bb0_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_0(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_0(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_1(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_1(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_2(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_2(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_3(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_3(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_4(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_4(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_5(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_5(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_6(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_6(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_7(v__0,v__01,v__02,v_i,v_j ,v_k) True eval_terminate_7(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb1_in(v_i,v_j,v_k,v_i,v_j ,v_k) True eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb2_in(v__0,v__01,v__02,v_i,v_j ,v_k) [100 >= v__0 && v__02 >= v__01] eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j ,v_k) [-1 + v__0 >= 100] eval_terminate_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j ,v_k) [-1 + v__01 >= v__02] eval_terminate_bb2_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_bb1_in(v__01,1 + v__0,-1 + v__02,v_i ,v_j ,v_k) True eval_terminate_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_terminate_stop(v__0,v__01,v__02,v_i,v_j ,v_k) True Signature: {(eval_terminate_0,6) ;(eval_terminate_1,6) ;(eval_terminate_2,6) ;(eval_terminate_3,6) ;(eval_terminate_4,6) ;(eval_terminate_5,6) ;(eval_terminate_6,6) ;(eval_terminate_7,6) ;(eval_terminate_bb0_in,6) ;(eval_terminate_bb1_in,6) ;(eval_terminate_bb2_in,6) ;(eval_terminate_bb3_in,6) ;(eval_terminate_start,6) ;(eval_terminate_stop,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11,12},10->{13},11->{14},12->{14} ,13->{10,11,12},14->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14] | `- p:[10,13] c: [10,13]) + Applied Processor: CloseWith True + Details: () YES