YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True (1,1) 1. eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True (?,1) 2. eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True (?,1) 3. eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True (?,1) 4. eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True (?,1) 5. eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True (?,1) 6. eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [4 >= v__0] (?,1) 7. eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 >= 5] (?,1) 8. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [-1 + v__0 >= 2 && 9 >= v_j_0] (?,1) 9. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [2 >= v__0] (?,1) 10. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [-1 + v_j_0 >= 9] (?,1) 11. eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) True (?,1) 12. eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) True (?,1) 13. eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) True (?,1) 14. eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) True (?,1) 15. eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) True (?,1) Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9,10},7->{15},8->{11},9->{12},10->{12},11->{8,9,10} ,12->{13},13->{14},14->{6,7},15->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(6,10)] * Step 2: FromIts YES + Considered Problem: Rules: 0. eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True (1,1) 1. eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True (?,1) 2. eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True (?,1) 3. eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True (?,1) 4. eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True (?,1) 5. eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True (?,1) 6. eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [4 >= v__0] (?,1) 7. eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 >= 5] (?,1) 8. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [-1 + v__0 >= 2 && 9 >= v_j_0] (?,1) 9. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [2 >= v__0] (?,1) 10. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [-1 + v_j_0 >= 9] (?,1) 11. eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) True (?,1) 12. eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) True (?,1) 13. eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) True (?,1) 14. eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) True (?,1) 15. eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) True (?,1) Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9},7->{15},8->{11},9->{12},10->{12},11->{8,9,10} ,12->{13},13->{14},14->{6,7},15->{}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [4 >= v__0] eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 >= 5] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [-1 + v__0 >= 2 && 9 >= v_j_0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [2 >= v__0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [-1 + v_j_0 >= 9] eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) True eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) True eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) True eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) True eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) True Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9},7->{15},8->{11},9->{12},10->{12},11->{8,9,10} ,12->{13},13->{14},14->{6,7},15->{}] + 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] | `- p:[6,14,13,12,9,11,8,10] c: [9] | `- p:[6,14,13,12,10,11,8] c: [6,10,12,13,14] | `- p:[8,11] c: [8,11] * Step 4: CloseWith YES + Considered Problem: (Rules: eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [4 >= v__0] eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 >= 5] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [-1 + v__0 >= 2 && 9 >= v_j_0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [2 >= v__0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [-1 + v_j_0 >= 9] eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) True eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) True eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) True eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) True eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) True Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9},7->{15},8->{11},9->{12},10->{12},11->{8,9,10} ,12->{13},13->{14},14->{6,7},15->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] | `- p:[6,14,13,12,9,11,8,10] c: [9] | `- p:[6,14,13,12,10,11,8] c: [6,10,12,13,14] | `- p:[8,11] c: [8,11]) + Applied Processor: CloseWith True + Details: () YES