YES * Step 1: FromIts YES + Considered Problem: Rules: 0. eval_alain_start(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb0_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (1,1) 1. eval_alain_bb0_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_0(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 2. eval_alain_0(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_1(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 3. eval_alain_1(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_2(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 4. eval_alain_2(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_3(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 5. eval_alain_3(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_4(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 6. eval_alain_4(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_5(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 7. eval_alain_5(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 8. eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [2*v_y >= v_n2] (?,1) 9. eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [v_y + v_z >= v_n2] (?,1) 10. eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [-1 + v_n2 >= 2*v_y && -1 + v_n2 >= v_y + v_z] (?,1) 11. eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb2_in(v_z,v_n1,v_n2,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [v_z >= 0 && v_x >= 0 && v_y >= 0 && v_n1 >= 0 && v_n2 >= 0] (?,1) 12. eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [-1 >= v_z] (?,1) 13. eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [-1 >= v_x] (?,1) 14. eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [-1 >= v_y] (?,1) 15. eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [-1 >= v_n1] (?,1) 16. eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [-1 >= v_n2] (?,1) 17. eval_alain_bb2_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb3_in(v__01,v__02,v__03,v__1,v__14,v_15,-1 + v__02,v_n1,v_n2,v_x,v_y,v_z) [-1 + v__02 >= 0] (?,1) 18. eval_alain_bb2_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [-1 >= -1 + v__02] (?,1) 19. eval_alain_bb3_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb4_in(v__01,v__02,v__03,v__01,v__03,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 20. eval_alain_bb4_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb5_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [-1 + v__14 >= 0] (?,1) 21. eval_alain_bb4_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb6_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) [0 >= v__14] (?,1) 22. eval_alain_bb5_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb4_in(v__01,v__02,v__03,v_y,-1 + v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 23. eval_alain_bb6_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_17(v__01,v__02,v__03,v__1,v__14,v__1 + v_y,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 24. eval_alain_17(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_18(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 25. eval_alain_18(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_19(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 26. eval_alain_19(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb2_in(v_15,v_9,v_15,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) 27. eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_stop(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) True (?,1) Signature: {(eval_alain_0,12) ;(eval_alain_1,12) ;(eval_alain_17,12) ;(eval_alain_18,12) ;(eval_alain_19,12) ;(eval_alain_2,12) ;(eval_alain_3,12) ;(eval_alain_4,12) ;(eval_alain_5,12) ;(eval_alain_6,12) ;(eval_alain_bb0_in,12) ;(eval_alain_bb1_in,12) ;(eval_alain_bb2_in,12) ;(eval_alain_bb3_in,12) ;(eval_alain_bb4_in,12) ;(eval_alain_bb5_in,12) ;(eval_alain_bb6_in,12) ;(eval_alain_bb7_in,12) ;(eval_alain_start,12) ;(eval_alain_stop,12)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9,10},8->{27},9->{27},10->{11,12,13,14,15,16} ,11->{17,18},12->{27},13->{27},14->{27},15->{27},16->{27},17->{19},18->{27},19->{20,21},20->{22},21->{23} ,22->{20,21},23->{24},24->{25},25->{26},26->{17,18},27->{}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: eval_alain_start(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) -> eval_alain_bb0_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_bb0_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_0(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_0(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_1(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_1(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_2(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_2(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_3(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_3(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_4(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_4(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_5(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_5(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_6(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [2*v_y >= v_n2] eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [v_y + v_z >= v_n2] eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb1_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 + v_n2 >= 2*v_y && -1 + v_n2 >= v_y + v_z] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb2_in(v_z ,v_n1,v_n2,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [v_z >= 0 && v_x >= 0 && v_y >= 0 && v_n1 >= 0 && v_n2 >= 0] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_z] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_x] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_y] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_n1] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_n2] eval_alain_bb2_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb3_in(v__01 ,v__02,v__03,v__1,v__14,v_15,-1 + v__02,v_n1,v_n2,v_x,v_y ,v_z) [-1 + v__02 >= 0] eval_alain_bb2_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= -1 + v__02] eval_alain_bb3_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb4_in(v__01 ,v__02,v__03,v__01,v__03,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_bb4_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb5_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 + v__14 >= 0] eval_alain_bb4_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb6_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [0 >= v__14] eval_alain_bb5_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb4_in(v__01 ,v__02,v__03,v_y,-1 + v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_bb6_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_17(v__01 ,v__02,v__03,v__1,v__14,v__1 + v_y,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_17(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_18(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_18(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_19(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_19(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb2_in(v_15 ,v_9,v_15,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_stop(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True Signature: {(eval_alain_0,12) ;(eval_alain_1,12) ;(eval_alain_17,12) ;(eval_alain_18,12) ;(eval_alain_19,12) ;(eval_alain_2,12) ;(eval_alain_3,12) ;(eval_alain_4,12) ;(eval_alain_5,12) ;(eval_alain_6,12) ;(eval_alain_bb0_in,12) ;(eval_alain_bb1_in,12) ;(eval_alain_bb2_in,12) ;(eval_alain_bb3_in,12) ;(eval_alain_bb4_in,12) ;(eval_alain_bb5_in,12) ;(eval_alain_bb6_in,12) ;(eval_alain_bb7_in,12) ;(eval_alain_start,12) ;(eval_alain_stop,12)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9,10},8->{27},9->{27},10->{11,12,13,14,15,16} ,11->{17,18},12->{27},13->{27},14->{27},15->{27},16->{27},17->{19},18->{27},19->{20,21},20->{22},21->{23} ,22->{20,21},23->{24},24->{25},25->{26},26->{17,18},27->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27] | `- p:[17,26,25,24,23,21,19,22,20] c: [17,19,21,23,24,25,26] | `- p:[20,22] c: [20,22] * Step 3: CloseWith YES + Considered Problem: (Rules: eval_alain_start(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) -> eval_alain_bb0_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_bb0_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_0(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_0(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_1(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_1(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_2(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_2(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_3(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_3(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_4(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_4(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_5(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_5(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_6(v__01,v__02 ,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [2*v_y >= v_n2] eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [v_y + v_z >= v_n2] eval_alain_6(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb1_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 + v_n2 >= 2*v_y && -1 + v_n2 >= v_y + v_z] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb2_in(v_z ,v_n1,v_n2,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [v_z >= 0 && v_x >= 0 && v_y >= 0 && v_n1 >= 0 && v_n2 >= 0] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_z] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_x] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_y] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_n1] eval_alain_bb1_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= v_n2] eval_alain_bb2_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb3_in(v__01 ,v__02,v__03,v__1,v__14,v_15,-1 + v__02,v_n1,v_n2,v_x,v_y ,v_z) [-1 + v__02 >= 0] eval_alain_bb2_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb7_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 >= -1 + v__02] eval_alain_bb3_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb4_in(v__01 ,v__02,v__03,v__01,v__03,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_bb4_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb5_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [-1 + v__14 >= 0] eval_alain_bb4_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb6_in(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) [0 >= v__14] eval_alain_bb5_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb4_in(v__01 ,v__02,v__03,v_y,-1 + v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_bb6_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_17(v__01 ,v__02,v__03,v__1,v__14,v__1 + v_y,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_17(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_18(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_18(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_19(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_19(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_bb2_in(v_15 ,v_9,v_15,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True eval_alain_bb7_in(v__01,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y,v_z) -> eval_alain_stop(v__01 ,v__02,v__03,v__1,v__14,v_15,v_9,v_n1,v_n2,v_x,v_y ,v_z) True Signature: {(eval_alain_0,12) ;(eval_alain_1,12) ;(eval_alain_17,12) ;(eval_alain_18,12) ;(eval_alain_19,12) ;(eval_alain_2,12) ;(eval_alain_3,12) ;(eval_alain_4,12) ;(eval_alain_5,12) ;(eval_alain_6,12) ;(eval_alain_bb0_in,12) ;(eval_alain_bb1_in,12) ;(eval_alain_bb2_in,12) ;(eval_alain_bb3_in,12) ;(eval_alain_bb4_in,12) ;(eval_alain_bb5_in,12) ;(eval_alain_bb6_in,12) ;(eval_alain_bb7_in,12) ;(eval_alain_start,12) ;(eval_alain_stop,12)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9,10},8->{27},9->{27},10->{11,12,13,14,15,16} ,11->{17,18},12->{27},13->{27},14->{27},15->{27},16->{27},17->{19},18->{27},19->{20,21},20->{22},21->{23} ,22->{20,21},23->{24},24->{25},25->{26},26->{17,18},27->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27] | `- p:[17,26,25,24,23,21,19,22,20] c: [17,19,21,23,24,25,26] | `- p:[20,22] c: [20,22]) + Applied Processor: CloseWith True + Details: () YES