YES * Step 1: TrivialSCCs YES + Considered Problem: Rules: 0. eval_exmini_start(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb0_in(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 1. eval_exmini_bb0_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_0(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 2. eval_exmini_0(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_1(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 3. eval_exmini_1(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_2(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 4. eval_exmini_2(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_3(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 5. eval_exmini_3(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_4(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 6. eval_exmini_4(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_5(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 7. eval_exmini_5(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_6(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 8. eval_exmini_6(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_7(v__0,v__01,v__02,v_i,v_j,v_k) True (?,1) 9. eval_exmini_7(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb1_in(v_i,v_j,v_k,v_i,v_j,v_k) True (?,1) 10. eval_exmini_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb2_in(v__0,v__01,v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0 && 100 >= v__0 && v__02 >= v__01] (?,1) 11. eval_exmini_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0 && -1 + v__0 >= 100] (?,1) 12. eval_exmini_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0 && -1 + v__01 >= v__02] (?,1) 13. eval_exmini_bb2_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb1_in(v__01,1 + v__0,-1 + v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0 && -1*v__01 + v_k >= 0 && -1*v__01 + v__02 >= 0 && 100 + -1*v__0 >= 0] (?,1) 14. eval_exmini_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_stop(v__0,v__01,v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0] (?,1) Signature: {(eval_exmini_0,6) ;(eval_exmini_1,6) ;(eval_exmini_2,6) ;(eval_exmini_3,6) ;(eval_exmini_4,6) ;(eval_exmini_5,6) ;(eval_exmini_6,6) ;(eval_exmini_7,6) ;(eval_exmini_bb0_in,6) ;(eval_exmini_bb1_in,6) ;(eval_exmini_bb2_in,6) ;(eval_exmini_bb3_in,6) ;(eval_exmini_start,6) ;(eval_exmini_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: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: Looptree YES + Considered Problem: Rules: 0. eval_exmini_start(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb0_in(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 1. eval_exmini_bb0_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_0(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 2. eval_exmini_0(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_1(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 3. eval_exmini_1(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_2(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 4. eval_exmini_2(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_3(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 5. eval_exmini_3(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_4(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 6. eval_exmini_4(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_5(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 7. eval_exmini_5(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_6(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 8. eval_exmini_6(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_7(v__0,v__01,v__02,v_i,v_j,v_k) True (1,1) 9. eval_exmini_7(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb1_in(v_i,v_j,v_k,v_i,v_j,v_k) True (1,1) 10. eval_exmini_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb2_in(v__0,v__01,v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0 && 100 >= v__0 && v__02 >= v__01] (?,1) 11. eval_exmini_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0 && -1 + v__0 >= 100] (1,1) 12. eval_exmini_bb1_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0 && -1 + v__01 >= v__02] (1,1) 13. eval_exmini_bb2_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_bb1_in(v__01,1 + v__0,-1 + v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0 && -1*v__01 + v_k >= 0 && -1*v__01 + v__02 >= 0 && 100 + -1*v__0 >= 0] (?,1) 14. eval_exmini_bb3_in(v__0,v__01,v__02,v_i,v_j,v_k) -> eval_exmini_stop(v__0,v__01,v__02,v_i,v_j,v_k) [-1*v__02 + v_k >= 0] (1,1) Signature: {(eval_exmini_0,6) ;(eval_exmini_1,6) ;(eval_exmini_2,6) ;(eval_exmini_3,6) ;(eval_exmini_4,6) ;(eval_exmini_5,6) ;(eval_exmini_6,6) ;(eval_exmini_7,6) ;(eval_exmini_bb0_in,6) ;(eval_exmini_bb1_in,6) ;(eval_exmini_bb2_in,6) ;(eval_exmini_bb3_in,6) ;(eval_exmini_start,6) ;(eval_exmini_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: Looptree + 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: [13] YES