NO * Step 1: TrivialSCCs NO + Considered Problem: Rules: 0. eval_real2_bb5_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb2_in(v_again_0,v_again_2,v_again_2,1 + v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_2 + v_len >= 0 && -1 + -1*v_again_2 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_2 + v_i_0 >= 0 && 1 + -1*v_again_2 + v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && 1 + v_again_1 + -1*v_again_2 >= 0 && v_again_2 >= 0 && v_again_1 + v_again_2 >= 0 && v_again_1 >= 0] 1. eval_real2_bb4_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb5_in(v_again_0,v_again_1,1,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0] 2. eval_real2_bb6_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_stop(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [-1*v_again_0 >= 0 && v_again_0 >= 0] (?,1) 3. eval_real2_bb1_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb6_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [v_again_0 = 0] (?,1) 4. eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb5_in(v_again_0,v_again_1,v_again_1,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && nondef_1 >= nondef_0] 5. eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb4_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && -1 + nondef_0 >= nondef_1] 6. eval_real2_bb2_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb1_in(v_again_1,v_again_1,v_again_2,v_i_0,v_len) [v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && v_i_0 >= -1 + v_len] (?,1) 7. eval_real2_bb2_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && -2 + v_len >= v_i_0] (?,1) 8. eval_real2_bb1_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb2_in(v_again_0,0,v_again_2,0,v_len) [-1 + v_again_0 >= 0] (?,1) 9. eval_real2_8(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb1_in(1,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 10. eval_real2_7(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_8(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 11. eval_real2_6(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_7(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 12. eval_real2_5(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_6(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 13. eval_real2_4(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_5(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 14. eval_real2_3(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_4(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 15. eval_real2_2(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_3(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 16. eval_real2_1(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_2(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 17. eval_real2_0(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_1(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 18. eval_real2_bb0_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_0(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (?,1) 19. eval_real2_start(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb0_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) Signature: {(eval_real2_0,5) ;(eval_real2_1,5) ;(eval_real2_2,5) ;(eval_real2_3,5) ;(eval_real2_4,5) ;(eval_real2_5,5) ;(eval_real2_6,5) ;(eval_real2_7,5) ;(eval_real2_8,5) ;(eval_real2_bb0_in,5) ;(eval_real2_bb1_in,5) ;(eval_real2_bb2_in,5) ;(eval_real2_bb3_in,5) ;(eval_real2_bb4_in,5) ;(eval_real2_bb5_in,5) ;(eval_real2_bb6_in,5) ;(eval_real2_start,5) ;(eval_real2_stop,5)} Flow Graph: [0->{6,7},1->{0},2->{},3->{2},4->{0},5->{1},6->{3,8},7->{4,5},8->{6,7},9->{3,8},10->{9},11->{10},12->{11} ,13->{12},14->{13},15->{14},16->{15},17->{16},18->{17},19->{18}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths NO + Considered Problem: Rules: 0. eval_real2_bb5_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb2_in(v_again_0,v_again_2,v_again_2,1 + v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_2 + v_len >= 0 && -1 + -1*v_again_2 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_2 + v_i_0 >= 0 && 1 + -1*v_again_2 + v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && 1 + v_again_1 + -1*v_again_2 >= 0 && v_again_2 >= 0 && v_again_1 + v_again_2 >= 0 && v_again_1 >= 0] 1. eval_real2_bb4_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb5_in(v_again_0,v_again_1,1,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0] 2. eval_real2_bb6_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_stop(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [-1*v_again_0 >= 0 && v_again_0 >= 0] (1,1) 3. eval_real2_bb1_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb6_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [v_again_0 = 0] (1,1) 4. eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb5_in(v_again_0,v_again_1,v_again_1,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && nondef_1 >= nondef_0] 5. eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb4_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && -1 + nondef_0 >= nondef_1] 6. eval_real2_bb2_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb1_in(v_again_1,v_again_1,v_again_2,v_i_0,v_len) [v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && v_i_0 >= -1 + v_len] (?,1) 7. eval_real2_bb2_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && -2 + v_len >= v_i_0] (?,1) 8. eval_real2_bb1_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb2_in(v_again_0,0,v_again_2,0,v_len) [-1 + v_again_0 >= 0] (?,1) 9. eval_real2_8(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb1_in(1,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 10. eval_real2_7(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_8(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 11. eval_real2_6(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_7(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 12. eval_real2_5(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_6(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 13. eval_real2_4(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_5(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 14. eval_real2_3(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_4(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 15. eval_real2_2(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_3(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 16. eval_real2_1(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_2(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 17. eval_real2_0(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_1(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 18. eval_real2_bb0_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_0(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 19. eval_real2_start(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb0_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) Signature: {(eval_real2_0,5) ;(eval_real2_1,5) ;(eval_real2_2,5) ;(eval_real2_3,5) ;(eval_real2_4,5) ;(eval_real2_5,5) ;(eval_real2_6,5) ;(eval_real2_7,5) ;(eval_real2_8,5) ;(eval_real2_bb0_in,5) ;(eval_real2_bb1_in,5) ;(eval_real2_bb2_in,5) ;(eval_real2_bb3_in,5) ;(eval_real2_bb4_in,5) ;(eval_real2_bb5_in,5) ;(eval_real2_bb6_in,5) ;(eval_real2_start,5) ;(eval_real2_stop,5)} Flow Graph: [0->{6,7},1->{0},2->{},3->{2},4->{0},5->{1},6->{3,8},7->{4,5},8->{6,7},9->{3,8},10->{9},11->{10},12->{11} ,13->{12},14->{13},15->{14},16->{15},17->{16},18->{17},19->{18}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(9,3)] * Step 3: Looptree NO + Considered Problem: Rules: 0. eval_real2_bb5_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb2_in(v_again_0,v_again_2,v_again_2,1 + v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_2 + v_len >= 0 && -1 + -1*v_again_2 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_2 + v_i_0 >= 0 && 1 + -1*v_again_2 + v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && 1 + v_again_1 + -1*v_again_2 >= 0 && v_again_2 >= 0 && v_again_1 + v_again_2 >= 0 && v_again_1 >= 0] 1. eval_real2_bb4_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb5_in(v_again_0,v_again_1,1,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0] 2. eval_real2_bb6_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_stop(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [-1*v_again_0 >= 0 && v_again_0 >= 0] (1,1) 3. eval_real2_bb1_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb6_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [v_again_0 = 0] (1,1) 4. eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb5_in(v_again_0,v_again_1,v_again_1,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && nondef_1 >= nondef_0] 5. eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb4_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [-2 + v_len >= 0 (?,1) && -2 + v_i_0 + v_len >= 0 && -2 + -1*v_i_0 + v_len >= 0 && -2 + v_again_1 + v_len >= 0 && -2 + -1*v_again_1 + v_len >= 0 && v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && -1 + nondef_0 >= nondef_1] 6. eval_real2_bb2_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb1_in(v_again_1,v_again_1,v_again_2,v_i_0,v_len) [v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && v_i_0 >= -1 + v_len] (?,1) 7. eval_real2_bb2_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb3_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) [v_i_0 >= 0 && v_again_1 + v_i_0 >= 0 && -1*v_again_1 + v_i_0 >= 0 && v_again_1 >= 0 && -2 + v_len >= v_i_0] (?,1) 8. eval_real2_bb1_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb2_in(v_again_0,0,v_again_2,0,v_len) [-1 + v_again_0 >= 0] (?,1) 9. eval_real2_8(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb1_in(1,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 10. eval_real2_7(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_8(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 11. eval_real2_6(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_7(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 12. eval_real2_5(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_6(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 13. eval_real2_4(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_5(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 14. eval_real2_3(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_4(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 15. eval_real2_2(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_3(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 16. eval_real2_1(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_2(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 17. eval_real2_0(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_1(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 18. eval_real2_bb0_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_0(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) 19. eval_real2_start(v_again_0,v_again_1,v_again_2,v_i_0,v_len) -> eval_real2_bb0_in(v_again_0,v_again_1,v_again_2,v_i_0,v_len) True (1,1) Signature: {(eval_real2_0,5) ;(eval_real2_1,5) ;(eval_real2_2,5) ;(eval_real2_3,5) ;(eval_real2_4,5) ;(eval_real2_5,5) ;(eval_real2_6,5) ;(eval_real2_7,5) ;(eval_real2_8,5) ;(eval_real2_bb0_in,5) ;(eval_real2_bb1_in,5) ;(eval_real2_bb2_in,5) ;(eval_real2_bb3_in,5) ;(eval_real2_bb4_in,5) ;(eval_real2_bb5_in,5) ;(eval_real2_bb6_in,5) ;(eval_real2_start,5) ;(eval_real2_stop,5)} Flow Graph: [0->{6,7},1->{0},2->{},3->{2},4->{0},5->{1},6->{3,8},7->{4,5},8->{6,7},9->{8},10->{9},11->{10},12->{11} ,13->{12},14->{13},15->{14},16->{15},17->{16},18->{17},19->{18}] + Applied Processor: Looptree + 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] | `- p:[0,1,5,7,8,6,4] c: [] NO