WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ arg2-arg2P0 == 0 /\ arg1-arg1P0 == 0 /\ arg2 > 0 /\ -2+x410 > 0 /\ 1+x390 > 0 /\ 2*x390 > 0 /\ 2*x390-2*x400 == 0), cost: 1 1: f1_0_main_Load\' -> f723_0_init_GE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -2+arg1P1 > 0 /\ 2*x450 > 0 /\ -2*x460+2*x450 == 0 /\ 1-2*x460+2*x450 >= 0 /\ 1+x450 > 0 /\ -arg2P1 == 0 /\ 1-arg3P1+2*x450 == 0 /\ arg2 > 0 /\ -1-2*x460+2*x450 < 0), cost: 1 2: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (-arg3P2 == 0 /\ arg3-arg4P2 == 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P2 > 0 /\ -arg2P2+arg2 == 0 /\ -3+arg2 < 0 /\ -2+arg1 > 0), cost: 1 5: f723_0_init_GE -> f723_0_init_GE\' : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, arg4'=arg4P5, (arg1-arg1P5 == 0 /\ arg2-arg2P5 == 0 /\ -arg1+x520 <= 0 /\ -1+arg3 > 0 /\ -2+x520 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg2 > 0 /\ -arg3P5+arg3 == 0 /\ arg3-x500 > 0 /\ -2+arg1 > 0 /\ arg3-x510 > 0), cost: 1 3: f873_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (-4+arg1-arg4 >= 0 /\ 1-arg2P3+arg2 == 0 /\ arg1-arg1P3 >= 0 /\ -2+arg1 > 0 /\ -2+arg3 > 0 /\ -arg3P3+arg4 == 0 /\ -2+arg1P3 > 0), cost: 1 4: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (-2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg2+arg4 > 0 /\ -arg3+x180 > 0 /\ 1+arg3-arg3P4 == 0 /\ 4-arg1+arg4 <= 0 /\ -arg4P4+arg4 == 0 /\ -2+arg1 > 0 /\ 1+x180 > 0 /\ -arg2P4+arg2 == 0 /\ -3+arg3 < 0), cost: 1 6: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ -2+arg3-2*x570 < 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -x580+arg3 > 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ arg3-x570 > 0 /\ -2-2*x580+arg3 < 0 /\ -2+arg1 > 0 /\ -arg2P6 == 0 /\ arg3-arg3P6 == 0), cost: 1 7: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, arg4'=arg4P7, (arg2-arg2P7 == 0 /\ arg3-arg2 > 0 /\ -arg3P7 == 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0 /\ -arg4P7+arg3 == 0 /\ -2+arg1 > 0), cost: 1 8: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3P8, arg2'=arg2P8, arg4'=arg4P8, (arg4-arg3P8 == 0 /\ 1-arg2P8+arg2 == 0 /\ 4-arg1+arg4 <= 0 /\ -2+arg1 > 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 9: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg3P9, arg2'=arg2P9, arg4'=arg4P9, (1-arg3P9+arg3 == 0 /\ -arg4P9+arg4 == 0 /\ -arg1+arg1P9 <= 0 /\ -2+arg1P9 > 0 /\ -arg2P9+arg2 == 0 /\ 4-arg1+arg4 <= 0 /\ -2+arg1 > 0 /\ -arg3+arg4 > 0), cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P10, arg3'=arg3P10, arg2'=arg2P10, arg4'=arg4P10, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, arg4'=arg4P0, (arg1 > 0 /\ arg2-arg2P0 == 0 /\ arg1-arg1P0 == 0 /\ arg2 > 0 /\ -2+x410 > 0 /\ 1+x390 > 0 /\ 2*x390 > 0 /\ 2*x390-2*x400 == 0), cost: 1 New rule: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg4'=arg4P0, (arg1 > 0 /\ arg2 > 0 /\ 2*x400 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load\' -> f723_0_init_GE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, arg4'=arg4P1, (arg1 > 0 /\ -2+arg1P1 > 0 /\ 2*x450 > 0 /\ -2*x460+2*x450 == 0 /\ 1-2*x460+2*x450 >= 0 /\ 1+x450 > 0 /\ -arg2P1 == 0 /\ 1-arg3P1+2*x450 == 0 /\ arg2 > 0 /\ -1-2*x460+2*x450 < 0), cost: 1 New rule: f1_0_main_Load\' -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (arg1 > 0 /\ -2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, arg4'=arg4P2, (-arg3P2 == 0 /\ arg3-arg4P2 == 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P2 > 0 /\ -arg2P2+arg2 == 0 /\ -3+arg2 < 0 /\ -2+arg1 > 0), cost: 1 New rule: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P2, arg3'=0, arg4'=arg3, (3-arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P2 > 0), cost: 1 Applied preprocessing Original rule: f873_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, arg4'=arg4P3, (-4+arg1-arg4 >= 0 /\ 1-arg2P3+arg2 == 0 /\ arg1-arg1P3 >= 0 /\ -2+arg1 > 0 /\ -2+arg3 > 0 /\ -arg3P3+arg4 == 0 /\ -2+arg1P3 > 0), cost: 1 New rule: f873_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P3, (-4+arg1-arg4 >= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 Applied preprocessing Original rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, arg4'=arg4P4, (-2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg2+arg4 > 0 /\ -arg3+x180 > 0 /\ 1+arg3-arg3P4 == 0 /\ 4-arg1+arg4 <= 0 /\ -arg4P4+arg4 == 0 /\ -2+arg1 > 0 /\ 1+x180 > 0 /\ -arg2P4+arg2 == 0 /\ -3+arg3 < 0), cost: 1 New rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=1+arg3, (-2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg2+arg4 > 0 /\ 3-arg3 > 0 /\ 4-arg1+arg4 <= 0), cost: 1 Applied preprocessing Original rule: f723_0_init_GE -> f723_0_init_GE\' : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, arg4'=arg4P5, (arg1-arg1P5 == 0 /\ arg2-arg2P5 == 0 /\ -arg1+x520 <= 0 /\ -1+arg3 > 0 /\ -2+x520 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg2 > 0 /\ -arg3P5+arg3 == 0 /\ arg3-x500 > 0 /\ -2+arg1 > 0 /\ arg3-x510 > 0), cost: 1 New rule: f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg2 > 0), cost: 1 Applied preprocessing Original rule: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ -2+arg3-2*x570 < 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -x580+arg3 > 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ arg3-x570 > 0 /\ -2-2*x580+arg3 < 0 /\ -2+arg1 > 0 /\ -arg2P6 == 0 /\ arg3-arg3P6 == 0), cost: 1 New rule: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 1 Applied preprocessing Original rule: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, arg4'=arg4P7, (arg2-arg2P7 == 0 /\ arg3-arg2 > 0 /\ -arg3P7 == 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0 /\ -arg4P7+arg3 == 0 /\ -2+arg1 > 0), cost: 1 New rule: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=0, arg4'=arg3, (arg3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0), cost: 1 Applied preprocessing Original rule: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3P8, arg2'=arg2P8, arg4'=arg4P8, (arg4-arg3P8 == 0 /\ 1-arg2P8+arg2 == 0 /\ 4-arg1+arg4 <= 0 /\ -2+arg1 > 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 New rule: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P8, (4-arg1+arg4 <= 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 Applied preprocessing Original rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg3P9, arg2'=arg2P9, arg4'=arg4P9, (1-arg3P9+arg3 == 0 /\ -arg4P9+arg4 == 0 /\ -arg1+arg1P9 <= 0 /\ -2+arg1P9 > 0 /\ -arg2P9+arg2 == 0 /\ 4-arg1+arg4 <= 0 /\ -2+arg1 > 0 /\ -arg3+arg4 > 0), cost: 1 New rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=1+arg3, (-arg1+arg1P9 <= 0 /\ -2+arg1P9 > 0 /\ 4-arg1+arg4 <= 0 /\ -arg3+arg4 > 0), cost: 1 Simplified rules Start location: __init 11: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg4'=arg4P0, (arg1 > 0 /\ arg2 > 0 /\ 2*x400 > 0), cost: 1 12: f1_0_main_Load\' -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (arg1 > 0 /\ -2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg2 > 0), cost: 1 13: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P2, arg3'=0, arg4'=arg3, (3-arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P2 > 0), cost: 1 16: f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg2 > 0), cost: 1 14: f873_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P3, (-4+arg1-arg4 >= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 15: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=1+arg3, (-2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg2+arg4 > 0 /\ 3-arg3 > 0 /\ 4-arg1+arg4 <= 0), cost: 1 17: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 1 18: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=0, arg4'=arg3, (arg3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0), cost: 1 19: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P8, (4-arg1+arg4 <= 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 20: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=1+arg3, (-arg1+arg1P9 <= 0 /\ -2+arg1P9 > 0 /\ 4-arg1+arg4 <= 0 /\ -arg3+arg4 > 0), cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P10, arg3'=arg3P10, arg2'=arg2P10, arg4'=arg4P10, TRUE, cost: 1 Applied acceleration Original rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=1+arg3, (-2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg2+arg4 > 0 /\ 3-arg3 > 0 /\ 4-arg1+arg4 <= 0), cost: 1 New rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=arg3+n0, (arg1-arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0 /\ 4-arg3-n0 > 0 /\ -1+n0 >= 0 /\ ((arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0) \/ (-4+arg1-arg4 >= 0 /\ -4-arg4+arg1P4 >= 0))), cost: n0 Applied instantiation Original rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=arg3+n0, (arg1-arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -arg2+arg4 > 0 /\ 4-arg3-n0 > 0 /\ -1+n0 >= 0 /\ ((arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0) \/ (-4+arg1-arg4 >= 0 /\ -4-arg4+arg1P4 >= 0))), cost: n0 New rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (arg1-arg1P4 >= 0 /\ 1 > 0 /\ -2+arg1P4 > 0 /\ 2-arg3 >= 0 /\ -arg2+arg4 > 0 /\ ((-4+arg1-arg4 >= 0 /\ -4-arg4+arg1P4 >= 0) \/ (arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0))), cost: 3-arg3 Applied simplification Original rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (arg1-arg1P4 >= 0 /\ 1 > 0 /\ -2+arg1P4 > 0 /\ 2-arg3 >= 0 /\ -arg2+arg4 > 0 /\ ((-4+arg1-arg4 >= 0 /\ -4-arg4+arg1P4 >= 0) \/ (arg1-arg1P4 >= 0 /\ -4-arg4+arg1P4 >= 0))), cost: 3-arg3 New rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (arg1-arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -4-arg4+arg1P4 >= 0 /\ -arg2+arg4 > 0 /\ -2+arg3 <= 0), cost: 3-arg3 Applied deletion Removed the following rules: 15 Applied acceleration Original rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=1+arg3, (-arg1+arg1P9 <= 0 /\ -2+arg1P9 > 0 /\ 4-arg1+arg4 <= 0 /\ -arg3+arg4 > 0), cost: 1 New rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg3+n3, (arg1-arg1P9 >= 0 /\ -1+n3 >= 0 /\ -2+arg1P9 > 0 /\ 1-arg3-n3+arg4 > 0 /\ ((arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0) \/ (-4+arg1-arg4 >= 0 /\ -4-arg4+arg1P9 >= 0))), cost: n3 Applied instantiation Original rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg3+n3, (arg1-arg1P9 >= 0 /\ -1+n3 >= 0 /\ -2+arg1P9 > 0 /\ 1-arg3-n3+arg4 > 0 /\ ((arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0) \/ (-4+arg1-arg4 >= 0 /\ -4-arg4+arg1P9 >= 0))), cost: n3 New rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (1 > 0 /\ arg1-arg1P9 >= 0 /\ -1-arg3+arg4 >= 0 /\ -2+arg1P9 > 0 /\ ((arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0) \/ (-4+arg1-arg4 >= 0 /\ -4-arg4+arg1P9 >= 0))), cost: -arg3+arg4 Applied simplification Original rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (1 > 0 /\ arg1-arg1P9 >= 0 /\ -1-arg3+arg4 >= 0 /\ -2+arg1P9 > 0 /\ ((arg1-arg1P9 >= 0 /\ -4-arg4+arg1P9 >= 0) \/ (-4+arg1-arg4 >= 0 /\ -4-arg4+arg1P9 >= 0))), cost: -arg3+arg4 New rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (arg1-arg1P9 >= 0 /\ -1-arg3+arg4 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0), cost: -arg3+arg4 Applied deletion Removed the following rules: 20 Accelerated simple loops Start location: __init 11: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg4'=arg4P0, (arg1 > 0 /\ arg2 > 0 /\ 2*x400 > 0), cost: 1 12: f1_0_main_Load\' -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (arg1 > 0 /\ -2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg2 > 0), cost: 1 13: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P2, arg3'=0, arg4'=arg3, (3-arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P2 > 0), cost: 1 16: f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg2 > 0), cost: 1 14: f873_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P3, (-4+arg1-arg4 >= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 22: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (arg1-arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -4-arg4+arg1P4 >= 0 /\ -arg2+arg4 > 0 /\ -2+arg3 <= 0), cost: 3-arg3 17: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 1 18: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=0, arg4'=arg3, (arg3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0), cost: 1 19: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P8, (4-arg1+arg4 <= 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 24: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (arg1-arg1P9 >= 0 /\ -1-arg3+arg4 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0), cost: -arg3+arg4 10: __init -> f1_0_main_Load : arg1'=arg1P10, arg3'=arg3P10, arg2'=arg2P10, arg4'=arg4P10, TRUE, cost: 1 Applied chaining First rule: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P2, arg3'=0, arg4'=arg3, (3-arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P2 > 0), cost: 1 Second rule: f873_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, (arg1-arg1P4 >= 0 /\ -2+arg1P4 > 0 /\ -4-arg4+arg1P4 >= 0 /\ -arg2+arg4 > 0 /\ -2+arg3 <= 0), cost: 3-arg3 New rule: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, arg4'=arg3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -4-arg3+arg1P4 >= 0), cost: 4 Applied deletion Removed the following rules: 22 Applied chaining First rule: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=0, arg4'=arg3, (arg3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0), cost: 1 Second rule: f1074_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg3'=arg4, (arg1-arg1P9 >= 0 /\ -1-arg3+arg4 >= 0 /\ -4-arg4+arg1P9 >= 0 /\ -2+arg1P9 > 0), cost: -arg3+arg4 New rule: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg4'=arg3, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ -arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0), cost: 1+arg3 Applied deletion Removed the following rules: 24 Chained accelerated rules with incoming rules Start location: __init 11: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg4'=arg4P0, (arg1 > 0 /\ arg2 > 0 /\ 2*x400 > 0), cost: 1 12: f1_0_main_Load\' -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (arg1 > 0 /\ -2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg2 > 0), cost: 1 13: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P2, arg3'=0, arg4'=arg3, (3-arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P2 > 0), cost: 1 16: f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg2 > 0), cost: 1 25: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, arg4'=arg3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -4-arg3+arg1P4 >= 0), cost: 4 14: f873_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P3, (-4+arg1-arg4 >= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 17: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 1 18: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=0, arg4'=arg3, (arg3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0), cost: 1 26: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg4'=arg3, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ -arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0), cost: 1+arg3 19: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P8, (4-arg1+arg4 <= 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P10, arg3'=arg3P10, arg2'=arg2P10, arg4'=arg4P10, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P10, arg3'=arg3P10, arg2'=arg2P10, arg4'=arg4P10, TRUE, cost: 1 Second rule: f1_0_main_Load -> f1_0_main_Load\' : arg3'=arg3P0, arg4'=arg4P0, (arg1 > 0 /\ arg2 > 0 /\ 2*x400 > 0), cost: 1 New rule: __init -> f1_0_main_Load\' : arg1'=arg1P10, arg3'=arg3P0, arg2'=arg2P10, arg4'=arg4P0, (arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 2 Applied deletion Removed the following rules: 10 11 Eliminating location f1_0_main_Load\' by chaining: Applied chaining First rule: __init -> f1_0_main_Load\' : arg1'=arg1P10, arg3'=arg3P0, arg2'=arg2P10, arg4'=arg4P0, (arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 2 Second rule: f1_0_main_Load\' -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (arg1 > 0 /\ -2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg2 > 0), cost: 1 New rule: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 Applied deletion Removed the following rules: 12 27 Eliminating location f723_0_init_GE\' by chaining: Applied chaining First rule: f723_0_init_GE -> f723_0_init_GE\' : arg4'=arg4P5, (-1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg2 > 0), cost: 1 Second rule: f723_0_init_GE\' -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 1 New rule: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 2 Applied deletion Removed the following rules: 16 17 Eliminated locations on linear paths Start location: __init 13: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P2, arg3'=0, arg4'=arg3, (3-arg2 > 0 /\ -arg1+arg1P2 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P2 > 0), cost: 1 25: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, arg4'=arg3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -4-arg3+arg1P4 >= 0), cost: 4 29: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 2 14: f873_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P3, (-4+arg1-arg4 >= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 18: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=0, arg4'=arg3, (arg3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0), cost: 1 26: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg4'=arg3, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ -arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0), cost: 1+arg3 19: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P8, (4-arg1+arg4 <= 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 28: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 Eliminating location f873_0_init_GE by chaining: Applied chaining First rule: f723_0_init_GE -> f873_0_init_GE : arg1'=arg1P4, arg3'=3, arg4'=arg3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -4-arg3+arg1P4 >= 0), cost: 4 Second rule: f873_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P3, (-4+arg1-arg4 >= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 New rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P3, (1 > 0 /\ arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P3+arg1P4 >= 0 /\ -4-arg3+arg1P4 >= 0 /\ -2+arg1P3 > 0), cost: 5 Applied simplification Original rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P3, (1 > 0 /\ arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -2+arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P3+arg1P4 >= 0 /\ -4-arg3+arg1P4 >= 0 /\ -2+arg1P3 > 0), cost: 5 New rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P3+arg1P4 >= 0 /\ -4-arg3+arg1P4 >= 0 /\ -2+arg1P3 > 0), cost: 5 Applied deletion Removed the following rules: 13 14 25 Eliminating location f1074_0_imprimer_GE by chaining: Applied chaining First rule: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P7, arg3'=0, arg4'=arg3, (arg3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ -arg1+arg1P7 <= 0), cost: 1 Second rule: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P8, (4-arg1+arg4 <= 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ -arg1P7+arg1P8 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ 4+arg3-arg1P7 <= 0 /\ -arg1+arg1P7 <= 0 /\ -2+arg1P8 > 0), cost: 2 Applied simplification Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ -arg1P7+arg1P8 <= 0 /\ 4-arg1+arg3 <= 0 /\ -2+arg1P7 > 0 /\ 4+arg3-arg1P7 <= 0 /\ -arg1+arg1P7 <= 0 /\ -2+arg1P8 > 0), cost: 2 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ -arg1P7+arg1P8 <= 0 /\ 4+arg3-arg1P7 <= 0 /\ -arg1+arg1P7 <= 0 /\ -2+arg1P8 > 0), cost: 2 Applied chaining First rule: f1037_0_imprimer_GE -> f1074_0_imprimer_GE : arg1'=arg1P9, arg4'=arg3, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ -arg1+arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0), cost: 1+arg3 Second rule: f1074_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg4, arg2'=1+arg2, arg4'=arg4P8, (4-arg1+arg4 <= 0 /\ -arg1+arg1P8 <= 0 /\ -arg3+arg4 <= 0 /\ -2+arg1P8 > 0), cost: 1 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (0 <= 0 /\ arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ 4+arg3-arg1P9 <= 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8-arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 Applied simplification Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (0 <= 0 /\ arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ 4+arg3-arg1P9 <= 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8-arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8-arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 Applied deletion Removed the following rules: 18 19 26 Eliminated locations on tree-shaped paths Start location: __init 29: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 2 30: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P3+arg1P4 >= 0 /\ -4-arg3+arg1P4 >= 0 /\ -2+arg1P3 > 0), cost: 5 31: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ -arg1P7+arg1P8 <= 0 /\ 4+arg3-arg1P7 <= 0 /\ -arg1+arg1P7 <= 0 /\ -2+arg1P8 > 0), cost: 2 32: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8-arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 28: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 Applied simplification Original rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ -arg1+arg1P4 <= 0 /\ -arg1P3+arg1P4 >= 0 /\ -4-arg3+arg1P4 >= 0 /\ -2+arg1P3 > 0), cost: 5 New rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=1+arg2, arg4'=arg4P3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P3 <= 0 /\ -2+arg1P3 > 0), cost: 5 Simplified simple loops Start location: __init 29: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 2 33: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=1+arg2, arg4'=arg4P3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P3 <= 0 /\ -2+arg1P3 > 0), cost: 5 31: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ -arg1P7+arg1P8 <= 0 /\ 4+arg3-arg1P7 <= 0 /\ -arg1+arg1P7 <= 0 /\ -2+arg1P8 > 0), cost: 2 32: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8-arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 28: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 Applied acceleration Original rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=1+arg2, arg4'=arg4P3, (arg3-arg2 > 0 /\ 3-arg2 > 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P3 <= 0 /\ -2+arg1P3 > 0), cost: 5 New rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg2+n6, arg4'=arg4P3, (4-arg2-n6 > 0 /\ 1+arg3-arg2-n6 > 0 /\ arg1-arg1P3 >= 0 /\ -1+n6 >= 0 /\ -2+arg1P3 > 0 /\ ((-4+arg1P3-arg3 >= 0 /\ arg1-arg1P3 >= 0) \/ (-4+arg1P3-arg3 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 5*n6 Applied instantiation Original rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg2+n6, arg4'=arg4P3, (4-arg2-n6 > 0 /\ 1+arg3-arg2-n6 > 0 /\ arg1-arg1P3 >= 0 /\ -1+n6 >= 0 /\ -2+arg1P3 > 0 /\ ((-4+arg1P3-arg3 >= 0 /\ arg1-arg1P3 >= 0) \/ (-4+arg1P3-arg3 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 5*n6 New rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg3, arg4'=arg4P3, (1 > 0 /\ 4-arg3 > 0 /\ arg1-arg1P3 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P3 > 0 /\ ((-4+arg1P3-arg3 >= 0 /\ -4+arg1-arg3 >= 0) \/ (-4+arg1P3-arg3 >= 0 /\ arg1-arg1P3 >= 0))), cost: 5*arg3-5*arg2 Applied instantiation Original rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg2+n6, arg4'=arg4P3, (4-arg2-n6 > 0 /\ 1+arg3-arg2-n6 > 0 /\ arg1-arg1P3 >= 0 /\ -1+n6 >= 0 /\ -2+arg1P3 > 0 /\ ((-4+arg1P3-arg3 >= 0 /\ arg1-arg1P3 >= 0) \/ (-4+arg1P3-arg3 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 5*n6 New rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=3, arg4'=arg4P3, (2-arg2 >= 0 /\ 1 > 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0 /\ ((-4+arg1P3-arg3 >= 0 /\ -4+arg1-arg3 >= 0) \/ (-4+arg1P3-arg3 >= 0 /\ arg1-arg1P3 >= 0))), cost: 15-5*arg2 Applied simplification Original rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg3, arg4'=arg4P3, (1 > 0 /\ 4-arg3 > 0 /\ arg1-arg1P3 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P3 > 0 /\ ((-4+arg1P3-arg3 >= 0 /\ -4+arg1-arg3 >= 0) \/ (-4+arg1P3-arg3 >= 0 /\ arg1-arg1P3 >= 0))), cost: 5*arg3-5*arg2 New rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg3, arg4'=arg4P3, (-4+arg1P3-arg3 >= 0 /\ 4-arg3 > 0 /\ arg1-arg1P3 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P3 > 0), cost: 5*arg3-5*arg2 Applied simplification Original rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=3, arg4'=arg4P3, (2-arg2 >= 0 /\ 1 > 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0 /\ -2+arg1P3 > 0 /\ ((-4+arg1P3-arg3 >= 0 /\ -4+arg1-arg3 >= 0) \/ (-4+arg1P3-arg3 >= 0 /\ arg1-arg1P3 >= 0))), cost: 15-5*arg2 New rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=3, arg4'=arg4P3, (-4+arg1P3-arg3 >= 0 /\ -2+arg2 <= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0), cost: 15-5*arg2 Applied deletion Removed the following rules: 33 Applied simplification Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ -arg1P7+arg1P8 <= 0 /\ 4+arg3-arg1P7 <= 0 /\ -arg1+arg1P7 <= 0 /\ -2+arg1P8 > 0), cost: 2 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P8 <= 0 /\ -2+arg1P8 > 0), cost: 2 Applied simplification Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg3'=arg3, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ -arg1+arg1P9 <= 0 /\ arg1P8-arg1P9 <= 0 /\ -4-arg3+arg1P9 >= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P8 <= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 Simplified simple loops Start location: __init 29: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 2 36: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg3, arg4'=arg4P3, (-4+arg1P3-arg3 >= 0 /\ 4-arg3 > 0 /\ arg1-arg1P3 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P3 > 0), cost: 5*arg3-5*arg2 37: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=3, arg4'=arg4P3, (-4+arg1P3-arg3 >= 0 /\ -2+arg2 <= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0), cost: 15-5*arg2 38: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P8 <= 0 /\ -2+arg1P8 > 0), cost: 2 39: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P8 <= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 28: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 Applied acceleration Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ arg3 <= 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P8 <= 0 /\ -2+arg1P8 > 0), cost: 2 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg2+n11, arg4'=arg4P8, (-arg3 >= 0 /\ 1+arg3-arg2-n11 > 0 /\ -1+n11 >= 0 /\ arg1-arg1P8 >= 0 /\ -2+arg1P8 > 0 /\ ((-4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0) \/ (-4-arg3+arg1P8 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 2*n11 Applied instantiation Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg2+n11, arg4'=arg4P8, (-arg3 >= 0 /\ 1+arg3-arg2-n11 > 0 /\ -1+n11 >= 0 /\ arg1-arg1P8 >= 0 /\ -2+arg1P8 > 0 /\ ((-4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0) \/ (-4-arg3+arg1P8 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 2*n11 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (1 > 0 /\ -arg3 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P8 > 0 /\ ((-4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0) \/ (-4-arg3+arg1P8 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 2*arg3-2*arg2 Applied acceleration Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=1+arg2, arg4'=arg4P8, (arg3-arg2 > 0 /\ -1+arg3 >= 0 /\ 4-arg1+arg3 <= 0 /\ -arg1+arg1P8 <= 0 /\ -2+arg1P8 > 0), cost: 2+arg3 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=n13+arg2, arg4'=arg4P8, (-1+arg3 >= 0 /\ -1+n13 >= 0 /\ arg1-arg1P8 >= 0 /\ 1-n13+arg3-arg2 > 0 /\ -2+arg1P8 > 0 /\ ((-4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0) \/ (-4-arg3+arg1P8 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 2*n13+n13*arg3 Applied instantiation Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=n13+arg2, arg4'=arg4P8, (-1+arg3 >= 0 /\ -1+n13 >= 0 /\ arg1-arg1P8 >= 0 /\ 1-n13+arg3-arg2 > 0 /\ -2+arg1P8 > 0 /\ ((-4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0) \/ (-4-arg3+arg1P8 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 2*n13+n13*arg3 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (1 > 0 /\ -1+arg3 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P8 > 0 /\ ((-4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0) \/ (-4-arg3+arg1P8 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 2*arg3-2*arg2+(arg3-arg2)*arg3 Applied simplification Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (1 > 0 /\ -arg3 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P8 > 0 /\ ((-4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0) \/ (-4-arg3+arg1P8 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 2*arg3-2*arg2 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (arg3 <= 0 /\ -4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P8 > 0), cost: 2*arg3-2*arg2 Applied simplification Original rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (1 > 0 /\ -1+arg3 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P8 > 0 /\ ((-4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0) \/ (-4-arg3+arg1P8 >= 0 /\ -4+arg1-arg3 >= 0))), cost: 2*arg3-2*arg2+(arg3-arg2)*arg3 New rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (-1+arg3 >= 0 /\ -4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0), cost: 2*arg3-2*arg2+(arg3-arg2)*arg3 Applied deletion Removed the following rules: 38 39 Accelerated simple loops Start location: __init 29: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 2 36: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg3, arg4'=arg4P3, (-4+arg1P3-arg3 >= 0 /\ 4-arg3 > 0 /\ arg1-arg1P3 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P3 > 0), cost: 5*arg3-5*arg2 37: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=3, arg4'=arg4P3, (-4+arg1P3-arg3 >= 0 /\ -2+arg2 <= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0), cost: 15-5*arg2 42: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (arg3 <= 0 /\ -4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P8 > 0), cost: 2*arg3-2*arg2 43: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (-1+arg3 >= 0 /\ -4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0), cost: 2*arg3-2*arg2+(arg3-arg2)*arg3 28: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 Applied chaining First rule: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 Second rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=arg3, arg4'=arg4P3, (-4+arg1P3-arg3 >= 0 /\ 4-arg3 > 0 /\ arg1-arg1P3 >= 0 /\ -1+arg3-arg2 >= 0 /\ -2+arg1P3 > 0), cost: 5*arg3-5*arg2 New rule: __init -> f723_0_init_GE : arg1'=arg1P3, arg3'=1+2*x450, arg2'=1+2*x450, arg4'=arg4P3, (-5+arg1P3-2*x450 >= 0 /\ 3-2*x450 > 0 /\ 2*x450 > 0 /\ 2*x400 > 0), cost: 8+10*x450 Applied chaining First rule: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 Second rule: f723_0_init_GE -> f723_0_init_GE : arg1'=arg1P3, arg2'=3, arg4'=arg4P3, (-4+arg1P3-arg3 >= 0 /\ -2+arg2 <= 0 /\ arg1-arg1P3 >= 0 /\ -2+arg3 > 0), cost: 15-5*arg2 New rule: __init -> f723_0_init_GE : arg1'=arg1P3, arg3'=1+2*x450, arg2'=3, arg4'=arg4P3, (-5+arg1P3-2*x450 >= 0 /\ 2*x400 > 0 /\ -1+2*x450 > 0), cost: 18 Applied deletion Removed the following rules: 36 37 Applied chaining First rule: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 2 Second rule: f1037_0_imprimer_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (-1+arg3 >= 0 /\ -4-arg3+arg1P8 >= 0 /\ arg1-arg1P8 >= 0 /\ -1+arg3-arg2 >= 0), cost: 2*arg3-2*arg2+(arg3-arg2)*arg3 New rule: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (-1+arg3 > 0 /\ -4-arg3+arg1P8 >= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0 /\ -arg1+arg1P8 <= 0), cost: 2+2*arg3+arg3^2 Applied deletion Removed the following rules: 42 43 Chained accelerated rules with incoming rules Start location: __init 29: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P6, arg2'=0, arg4'=arg4P6, (-2+arg1P6 > 0 /\ -arg1+arg1P6 <= 0 /\ -1+arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0), cost: 2 46: f723_0_init_GE -> f1037_0_imprimer_GE : arg1'=arg1P8, arg2'=arg3, arg4'=arg4P8, (-1+arg3 > 0 /\ -4-arg3+arg1P8 >= 0 /\ arg3-2*x570 >= 0 /\ -2+arg2 > 0 /\ -2*x580+arg3 >= 0 /\ 2+2*x580-arg3 > 0 /\ 2-arg3+2*x570 > 0 /\ -arg1+arg1P8 <= 0), cost: 2+2*arg3+arg3^2 28: __init -> f723_0_init_GE : arg1'=arg1P1, arg3'=1+2*x450, arg2'=0, arg4'=arg4P1, (-2+arg1P1 > 0 /\ 2*x450 > 0 /\ arg1P10 > 0 /\ arg2P10 > 0 /\ 2*x400 > 0), cost: 3 44: __init -> f723_0_init_GE : arg1'=arg1P3, arg3'=1+2*x450, arg2'=1+2*x450, arg4'=arg4P3, (-5+arg1P3-2*x450 >= 0 /\ 3-2*x450 > 0 /\ 2*x450 > 0 /\ 2*x400 > 0), cost: 8+10*x450 45: __init -> f723_0_init_GE : arg1'=arg1P3, arg3'=1+2*x450, arg2'=3, arg4'=arg4P3, (-5+arg1P3-2*x450 >= 0 /\ 2*x400 > 0 /\ -1+2*x450 > 0), cost: 18 Removed unreachable locations and irrelevant leafs Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0