WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f375_0_dif_GE : arg1'=arg1P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, (-arg1P0 == 0 /\ -arg2P0 == 0 /\ -arg3P0 == 0), cost: 1 1: f375_0_dif_GE -> f484_0_dif_GE : arg1'=arg1P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (-arg4P1 == 0 /\ -arg3P1 == 0 /\ -arg3+arg2 == 0 /\ arg1-arg1P1 == 0 /\ -20+arg2 < 0 /\ arg2-arg2P1 == 0 /\ -arg5P1 == 0), cost: 1 2: f484_0_dif_GE -> f375_0_dif_GE : arg1'=arg1P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg1-arg1P2 == 0 /\ 1+arg2-arg3P2 == 0 /\ 1-arg3 == 0 /\ 1-arg2P2+arg2 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 3: f484_0_dif_GE -> f375_0_dif_GE : arg1'=arg1P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (-20+arg4 < 0 /\ 1-arg3 == 0 /\ 1+arg2-arg2P3 == 0 /\ 1-arg3P3+arg2 == 0 /\ arg1-arg1P3 == 0 /\ -arg5+arg4 == 0), cost: 1 4: f484_0_dif_GE -> f484_0_dif_GE : arg1'=arg1P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, (1-arg5P4+arg4 == 0 /\ -arg3 == 0 /\ -20+arg4 < 0 /\ arg1-arg1P4 == 0 /\ -20+arg2 < 0 /\ 1-arg4P4+arg4 == 0 /\ -arg3P4 == 0 /\ -x300+x290 > 0 /\ -arg2P4+arg2 == 0 /\ -arg5+arg4 == 0), cost: 1 5: f484_0_dif_GE -> f484_0_dif_GE : arg1'=arg1P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, (1-arg4P5+arg4 == 0 /\ -arg3 == 0 /\ -20+arg4 < 0 /\ -arg2P5+arg2 == 0 /\ -arg3P5 == 0 /\ 1-arg5P5+arg4 == 0 /\ arg1-arg1P5 == 0 /\ -20+arg2 < 0 /\ x360-x370 < 0 /\ -arg5+arg4 == 0), cost: 1 6: f484_0_dif_GE -> f375_0_dif_GE : arg1'=arg1P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, (-arg3 == 0 /\ 1-arg3P6+arg2 == 0 /\ -20+arg1 < 0 /\ -20+arg2 < 0 /\ 1+arg1-arg1P6 == 0 /\ 1-arg2P6+arg2 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 7: f484_0_dif_GE -> f484_0_dif_GE : arg1'=arg1P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg4'=arg4P7, (-arg3 == 0 /\ -20+arg4 < 0 /\ 1-arg3P7 == 0 /\ -arg5P7+arg4 == 0 /\ arg4-arg4P7 == 0 /\ arg1-arg1P7 == 0 /\ -20+arg2 < 0 /\ arg2-arg2P7 == 0 /\ -arg5+arg4 == 0), cost: 1 8: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f375_0_dif_GE : arg1'=arg1P0, arg3'=arg3P0, arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, (-arg1P0 == 0 /\ -arg2P0 == 0 /\ -arg3P0 == 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 1 Applied preprocessing Original rule: f375_0_dif_GE -> f484_0_dif_GE : arg1'=arg1P1, arg3'=arg3P1, arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, (-arg4P1 == 0 /\ -arg3P1 == 0 /\ -arg3+arg2 == 0 /\ arg1-arg1P1 == 0 /\ -20+arg2 < 0 /\ arg2-arg2P1 == 0 /\ -arg5P1 == 0), cost: 1 New rule: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 Applied preprocessing Original rule: f484_0_dif_GE -> f375_0_dif_GE : arg1'=arg1P2, arg3'=arg3P2, arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, (arg1-arg1P2 == 0 /\ 1+arg2-arg3P2 == 0 /\ 1-arg3 == 0 /\ 1-arg2P2+arg2 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P2, arg2'=1+arg2, arg4'=arg4P2, (-1+arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 Applied preprocessing Original rule: f484_0_dif_GE -> f375_0_dif_GE : arg1'=arg1P3, arg3'=arg3P3, arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, (-20+arg4 < 0 /\ 1-arg3 == 0 /\ 1+arg2-arg2P3 == 0 /\ 1-arg3P3+arg2 == 0 /\ arg1-arg1P3 == 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (-1+arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 Applied preprocessing Original rule: f484_0_dif_GE -> f484_0_dif_GE : arg1'=arg1P4, arg3'=arg3P4, arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, (1-arg5P4+arg4 == 0 /\ -arg3 == 0 /\ -20+arg4 < 0 /\ arg1-arg1P4 == 0 /\ -20+arg2 < 0 /\ 1-arg4P4+arg4 == 0 /\ -arg3P4 == 0 /\ -x300+x290 > 0 /\ -arg2P4+arg2 == 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=1+arg4, arg4'=1+arg4, (20-arg2 > 0 /\ arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 Applied preprocessing Original rule: f484_0_dif_GE -> f484_0_dif_GE : arg1'=arg1P5, arg3'=arg3P5, arg5'=arg5P5, arg2'=arg2P5, arg4'=arg4P5, (1-arg4P5+arg4 == 0 /\ -arg3 == 0 /\ -20+arg4 < 0 /\ -arg2P5+arg2 == 0 /\ -arg3P5 == 0 /\ 1-arg5P5+arg4 == 0 /\ arg1-arg1P5 == 0 /\ -20+arg2 < 0 /\ x360-x370 < 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=1+arg4, arg4'=1+arg4, (20-arg2 > 0 /\ arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 Applied preprocessing Original rule: f484_0_dif_GE -> f375_0_dif_GE : arg1'=arg1P6, arg3'=arg3P6, arg5'=arg5P6, arg2'=arg2P6, arg4'=arg4P6, (-arg3 == 0 /\ 1-arg3P6+arg2 == 0 /\ -20+arg1 < 0 /\ -20+arg2 < 0 /\ 1+arg1-arg1P6 == 0 /\ 1-arg2P6+arg2 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f484_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 Applied preprocessing Original rule: f484_0_dif_GE -> f484_0_dif_GE : arg1'=arg1P7, arg3'=arg3P7, arg5'=arg5P7, arg2'=arg2P7, arg4'=arg4P7, (-arg3 == 0 /\ -20+arg4 < 0 /\ 1-arg3P7 == 0 /\ -arg5P7+arg4 == 0 /\ arg4-arg4P7 == 0 /\ arg1-arg1P7 == 0 /\ -20+arg2 < 0 /\ arg2-arg2P7 == 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=1, arg5'=arg4, (20-arg2 > 0 /\ arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 Applied deletion Removed the following rules: 13 Simplified rules Start location: __init 9: f1_0_main_ConstantStackPush -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 1 10: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 11: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P2, arg2'=1+arg2, arg4'=arg4P2, (-1+arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 12: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (-1+arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 14: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=1+arg4, arg4'=1+arg4, (20-arg2 > 0 /\ arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 15: f484_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 16: f484_0_dif_GE -> f484_0_dif_GE : arg3'=1, arg5'=arg4, (20-arg2 > 0 /\ arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 8: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Applied acceleration Original rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=1+arg4, arg4'=1+arg4, (20-arg2 > 0 /\ arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=n1+arg4, arg4'=n1+arg4, (21-n1-arg4 > 0 /\ 20-arg2 > 0 /\ -arg3 >= 0 /\ arg3 >= 0 /\ -1+n1 >= 0 /\ arg5-arg4 >= 0 /\ -arg5+arg4 >= 0), cost: n1 Applied instantiation Original rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=n1+arg4, arg4'=n1+arg4, (21-n1-arg4 > 0 /\ 20-arg2 > 0 /\ -arg3 >= 0 /\ arg3 >= 0 /\ -1+n1 >= 0 /\ arg5-arg4 >= 0 /\ -arg5+arg4 >= 0), cost: n1 New rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (1 > 0 /\ 20-arg2 > 0 /\ -arg3 >= 0 /\ arg3 >= 0 /\ arg5-arg4 >= 0 /\ 19-arg4 >= 0 /\ -arg5+arg4 >= 0), cost: 20-arg4 Applied simplification Original rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (1 > 0 /\ 20-arg2 > 0 /\ -arg3 >= 0 /\ arg3 >= 0 /\ arg5-arg4 >= 0 /\ 19-arg4 >= 0 /\ -arg5+arg4 >= 0), cost: 20-arg4 New rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (20-arg2 > 0 /\ arg3 <= 0 /\ arg3 >= 0 /\ arg5-arg4 >= 0 /\ 19-arg4 >= 0 /\ -arg5+arg4 >= 0), cost: 20-arg4 Applied deletion Removed the following rules: 14 Accelerated simple loops Start location: __init 9: f1_0_main_ConstantStackPush -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 1 10: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 11: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P2, arg2'=1+arg2, arg4'=arg4P2, (-1+arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 12: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (-1+arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 15: f484_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 16: f484_0_dif_GE -> f484_0_dif_GE : arg3'=1, arg5'=arg4, (20-arg2 > 0 /\ arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 18: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (20-arg2 > 0 /\ arg3 <= 0 /\ arg3 >= 0 /\ arg5-arg4 >= 0 /\ 19-arg4 >= 0 /\ -arg5+arg4 >= 0), cost: 20-arg4 8: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Applied chaining First rule: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 Second rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=1, arg5'=arg4, (20-arg2 > 0 /\ arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f375_0_dif_GE -> f484_0_dif_GE : arg3'=1, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 2 Applied chaining First rule: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 Second rule: f484_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (20-arg2 > 0 /\ arg3 <= 0 /\ arg3 >= 0 /\ arg5-arg4 >= 0 /\ 19-arg4 >= 0 /\ -arg5+arg4 >= 0), cost: 20-arg4 New rule: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 21 Applied deletion Removed the following rules: 16 18 Chained accelerated rules with incoming rules Start location: __init 9: f1_0_main_ConstantStackPush -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 1 10: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 19: f375_0_dif_GE -> f484_0_dif_GE : arg3'=1, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 2 20: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 21 11: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P2, arg2'=1+arg2, arg4'=arg4P2, (-1+arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 12: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (-1+arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 15: f484_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 8: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P8, arg3'=arg3P8, arg5'=arg5P8, arg2'=arg2P8, arg4'=arg4P8, TRUE, cost: 1 Second rule: f1_0_main_ConstantStackPush -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 1 New rule: __init -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 2 Applied deletion Removed the following rules: 8 9 Eliminated locations on linear paths Start location: __init 10: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 19: f375_0_dif_GE -> f484_0_dif_GE : arg3'=1, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 2 20: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 21 11: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P2, arg2'=1+arg2, arg4'=arg4P2, (-1+arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 12: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (-1+arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 15: f484_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 21: __init -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 2 Eliminating location f484_0_dif_GE by chaining: Applied chaining First rule: f375_0_dif_GE -> f484_0_dif_GE : arg3'=1, arg5'=0, arg4'=0, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 2 Second rule: f484_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (-1+arg3 == 0 /\ 20-arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (0 == 0 /\ 20-arg2 > 0 /\ 20 > 0 /\ -arg3+arg2 == 0), cost: 3 Applied simplification Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (0 == 0 /\ 20-arg2 > 0 /\ 20 > 0 /\ -arg3+arg2 == 0), cost: 3 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 3 Applied chaining First rule: f375_0_dif_GE -> f484_0_dif_GE : arg3'=0, arg5'=20, arg4'=20, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 21 Second rule: f484_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ arg3 == 0 /\ -19+arg4 > 0 /\ -arg5+arg4 == 0), cost: 1 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (0 == 0 /\ 1 > 0 /\ 20-arg1 > 0 /\ 20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 22 Applied simplification Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (0 == 0 /\ 1 > 0 /\ 20-arg1 > 0 /\ 20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 22 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 22 Applied deletion Removed the following rules: 10 11 12 15 19 20 Eliminated locations on tree-shaped paths Start location: __init 22: f375_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 3 23: f375_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 22 21: __init -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 2 Applied acceleration Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=1+arg2, arg5'=arg5P3, arg2'=1+arg2, arg4'=arg4P3, (20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 3 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=n7+arg2, arg5'=arg5P3, arg2'=n7+arg2, arg4'=arg4P3, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -1+n7 >= 0 /\ 21-n7-arg2 > 0), cost: 3*n7 Applied instantiation Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=n7+arg2, arg5'=arg5P3, arg2'=n7+arg2, arg4'=arg4P3, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -1+n7 >= 0 /\ 21-n7-arg2 > 0), cost: 3*n7 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=20, arg5'=arg5P3, arg2'=20, arg4'=arg4P3, (1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0), cost: 60-3*arg2 Applied acceleration Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=1+arg1, arg3'=1+arg2, arg5'=arg5P6, arg2'=1+arg2, arg4'=arg4P6, (20-arg1 > 0 /\ 20-arg2 > 0 /\ -arg3+arg2 == 0), cost: 22 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=arg1+n9, arg3'=n9+arg2, arg5'=arg5P6, arg2'=n9+arg2, arg4'=arg4P6, (-1+n9 >= 0 /\ arg3-arg2 >= 0 /\ 21-n9-arg2 > 0 /\ -arg3+arg2 >= 0 /\ 21-arg1-n9 > 0), cost: 22*n9 Applied instantiation Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=arg1+n9, arg3'=n9+arg2, arg5'=arg5P6, arg2'=n9+arg2, arg4'=arg4P6, (-1+n9 >= 0 /\ arg3-arg2 >= 0 /\ 21-n9-arg2 > 0 /\ -arg3+arg2 >= 0 /\ 21-arg1-n9 > 0), cost: 22*n9 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20, arg3'=20-arg1+arg2, arg5'=arg5P6, arg2'=20-arg1+arg2, arg4'=arg4P6, (1 > 0 /\ arg3-arg2 >= 0 /\ 19-arg1 >= 0 /\ -arg3+arg2 >= 0 /\ 1+arg1-arg2 > 0), cost: 440-22*arg1 Applied instantiation Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=arg1+n9, arg3'=n9+arg2, arg5'=arg5P6, arg2'=n9+arg2, arg4'=arg4P6, (-1+n9 >= 0 /\ arg3-arg2 >= 0 /\ 21-n9-arg2 > 0 /\ -arg3+arg2 >= 0 /\ 21-arg1-n9 > 0), cost: 22*n9 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20+arg1-arg2, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0 /\ 1-arg1+arg2 > 0), cost: 440-22*arg2 Applied simplification Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=20, arg5'=arg5P3, arg2'=20, arg4'=arg4P3, (1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0), cost: 60-3*arg2 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=20, arg5'=arg5P3, arg2'=20, arg4'=arg4P3, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0), cost: 60-3*arg2 Applied simplification Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20, arg3'=20-arg1+arg2, arg5'=arg5P6, arg2'=20-arg1+arg2, arg4'=arg4P6, (1 > 0 /\ arg3-arg2 >= 0 /\ 19-arg1 >= 0 /\ -arg3+arg2 >= 0 /\ 1+arg1-arg2 > 0), cost: 440-22*arg1 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20, arg3'=20-arg1+arg2, arg5'=arg5P6, arg2'=20-arg1+arg2, arg4'=arg4P6, (arg3-arg2 >= 0 /\ -19+arg1 <= 0 /\ -arg3+arg2 >= 0 /\ 1+arg1-arg2 > 0), cost: 440-22*arg1 Applied simplification Original rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20+arg1-arg2, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0 /\ 1-arg1+arg2 > 0), cost: 440-22*arg2 New rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20+arg1-arg2, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0 /\ 1-arg1+arg2 > 0), cost: 440-22*arg2 Applied deletion Removed the following rules: 22 23 Accelerated simple loops Start location: __init 27: f375_0_dif_GE -> f375_0_dif_GE : arg3'=20, arg5'=arg5P3, arg2'=20, arg4'=arg4P3, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0), cost: 60-3*arg2 28: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20, arg3'=20-arg1+arg2, arg5'=arg5P6, arg2'=20-arg1+arg2, arg4'=arg4P6, (arg3-arg2 >= 0 /\ -19+arg1 <= 0 /\ -arg3+arg2 >= 0 /\ 1+arg1-arg2 > 0), cost: 440-22*arg1 29: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20+arg1-arg2, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0 /\ 1-arg1+arg2 > 0), cost: 440-22*arg2 21: __init -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 2 Applied chaining First rule: __init -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 2 Second rule: f375_0_dif_GE -> f375_0_dif_GE : arg3'=20, arg5'=arg5P3, arg2'=20, arg4'=arg4P3, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0), cost: 60-3*arg2 New rule: __init -> f375_0_dif_GE : arg1'=0, arg3'=20, arg5'=arg5P3, arg2'=20, arg4'=arg4P3, (0 >= 0 /\ 19 >= 0), cost: 62 Applied chaining First rule: __init -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 2 Second rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20, arg3'=20-arg1+arg2, arg5'=arg5P6, arg2'=20-arg1+arg2, arg4'=arg4P6, (arg3-arg2 >= 0 /\ -19+arg1 <= 0 /\ -arg3+arg2 >= 0 /\ 1+arg1-arg2 > 0), cost: 440-22*arg1 New rule: __init -> f375_0_dif_GE : arg1'=20, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (0 == 0 /\ -19 <= 0), cost: 442 Applied chaining First rule: __init -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 2 Second rule: f375_0_dif_GE -> f375_0_dif_GE : arg1'=20+arg1-arg2, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 19-arg2 >= 0 /\ 1-arg1+arg2 > 0), cost: 440-22*arg2 New rule: __init -> f375_0_dif_GE : arg1'=20, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (0 == 0 /\ 19 >= 0), cost: 442 Applied deletion Removed the following rules: 27 28 29 Chained accelerated rules with incoming rules Start location: __init 21: __init -> f375_0_dif_GE : arg1'=0, arg3'=0, arg5'=arg5P0, arg2'=0, arg4'=arg4P0, TRUE, cost: 2 30: __init -> f375_0_dif_GE : arg1'=0, arg3'=20, arg5'=arg5P3, arg2'=20, arg4'=arg4P3, (0 >= 0 /\ 19 >= 0), cost: 62 31: __init -> f375_0_dif_GE : arg1'=20, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (0 == 0 /\ -19 <= 0), cost: 442 32: __init -> f375_0_dif_GE : arg1'=20, arg3'=20, arg5'=arg5P6, arg2'=20, arg4'=arg4P6, (0 == 0 /\ 19 >= 0), cost: 442 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