NO Initial ITS Start location: __init 0: f1_0_main_Load -> f169_0_loop_EQ : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1-arg2P0 == 0 /\ 1+arg2 > 0 /\ 1-arg1P0 == 0 /\ arg2-arg3P0 == 0), cost: 1 1: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ -arg3P1 == 0 /\ arg3-arg2 <= 0 /\ arg3 < 0 /\ 1+arg2-arg2P1 == 0 /\ 1-arg1P1+arg2 == 0 /\ arg2 > 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0), cost: 1 2: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ arg3-arg2 <= 0 /\ 1-arg1P2+arg2 == 0 /\ arg3 > 0 /\ 1+arg2-arg2P2 == 0 /\ -arg3P2 == 0 /\ arg2 > 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0), cost: 1 3: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ 1+arg2-arg2P3 == 0 /\ arg3 < 0 /\ 1-arg3-arg3P3 == 0 /\ arg2 > 0 /\ arg3+arg2 < 0 /\ 1-arg1P3+arg2 == 0), cost: 1 4: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (arg1 > 0 /\ arg3 > 0 /\ 1-arg3-arg3P4 == 0 /\ arg2 > 0 /\ 1-arg1P4+arg2 == 0 /\ arg3+arg2 < 0 /\ 1+arg2-arg2P4 == 0), cost: 1 5: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (arg1 > 0 /\ -1+arg3 > 0 /\ 1-arg1P5+arg2 == 0 /\ -arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ 2+arg3 > 0 /\ arg2 > 0 /\ 1+arg2-arg2P5 == 0 /\ arg3+arg2 >= 0 /\ -1-arg3-arg3P5 == 0), cost: 1 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Removed rules with unsatisfiable guard Start location: __init 0: f1_0_main_Load -> f169_0_loop_EQ : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1-arg2P0 == 0 /\ 1+arg2 > 0 /\ 1-arg1P0 == 0 /\ arg2-arg3P0 == 0), cost: 1 1: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ -arg3P1 == 0 /\ arg3-arg2 <= 0 /\ arg3 < 0 /\ 1+arg2-arg2P1 == 0 /\ 1-arg1P1+arg2 == 0 /\ arg2 > 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0), cost: 1 2: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ arg3-arg2 <= 0 /\ 1-arg1P2+arg2 == 0 /\ arg3 > 0 /\ 1+arg2-arg2P2 == 0 /\ -arg3P2 == 0 /\ arg2 > 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0), cost: 1 3: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ 1+arg2-arg2P3 == 0 /\ arg3 < 0 /\ 1-arg3-arg3P3 == 0 /\ arg2 > 0 /\ arg3+arg2 < 0 /\ 1-arg1P3+arg2 == 0), cost: 1 5: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (arg1 > 0 /\ -1+arg3 > 0 /\ 1-arg1P5+arg2 == 0 /\ -arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ 2+arg3 > 0 /\ arg2 > 0 /\ 1+arg2-arg2P5 == 0 /\ arg3+arg2 >= 0 /\ -1-arg3-arg3P5 == 0), cost: 1 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1-arg2P0 == 0 /\ 1+arg2 > 0 /\ 1-arg1P0 == 0 /\ arg2-arg3P0 == 0), cost: 1 New rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ -arg3P1 == 0 /\ arg3-arg2 <= 0 /\ arg3 < 0 /\ 1+arg2-arg2P1 == 0 /\ 1-arg1P1+arg2 == 0 /\ arg2 > 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=0, arg2'=1+arg2, (arg1 > 0 /\ -arg3 > 0 /\ arg3+arg2 >= 0), cost: 1 Applied preprocessing Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ arg3-arg2 <= 0 /\ 1-arg1P2+arg2 == 0 /\ arg3 > 0 /\ 1+arg2-arg2P2 == 0 /\ -arg3P2 == 0 /\ arg2 > 0 /\ arg3+arg2 >= 0 /\ -1+arg3-arg2 < 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=0, arg2'=1+arg2, (arg1 > 0 /\ arg3 > 0 /\ 1-arg3+arg2 > 0), cost: 1 Applied preprocessing Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ 1+arg2-arg2P3 == 0 /\ arg3 < 0 /\ 1-arg3-arg3P3 == 0 /\ arg2 > 0 /\ arg3+arg2 < 0 /\ 1-arg1P3+arg2 == 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=1-arg3, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1 Applied preprocessing Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (arg1 > 0 /\ -1+arg3 > 0 /\ 1-arg1P5+arg2 == 0 /\ -arg3+arg2 < 0 /\ 1-arg3+arg2 <= 0 /\ 2+arg3 > 0 /\ arg2 > 0 /\ 1+arg2-arg2P5 == 0 /\ arg3+arg2 >= 0 /\ -1-arg3-arg3P5 == 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=-1-arg3, arg2'=1+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 1 Simplified rules Start location: __init 7: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 8: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=0, arg2'=1+arg2, (arg1 > 0 /\ -arg3 > 0 /\ arg3+arg2 >= 0), cost: 1 9: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=0, arg2'=1+arg2, (arg1 > 0 /\ arg3 > 0 /\ 1-arg3+arg2 > 0), cost: 1 10: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=1-arg3, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1 11: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=-1-arg3, arg2'=1+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 1 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Applied chaining First rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=1-arg3, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=-1-arg3, arg2'=1+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg3'=-2+arg3, arg2'=2+arg2, (arg1 > 0 /\ arg2 > 0 /\ 1+arg3+arg2 <= 0), cost: 2 Applied nonterm Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg3'=-2+arg3, arg2'=2+arg2, (arg1 > 0 /\ arg2 > 0 /\ 1+arg3+arg2 <= 0), cost: 2 New rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0), cost: NONTERM Applied acceleration Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg3'=-2+arg3, arg2'=2+arg2, (arg1 > 0 /\ arg2 > 0 /\ 1+arg3+arg2 <= 0), cost: 2 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n5+arg2, arg3'=arg3-2*n5, arg2'=2*n5+arg2, (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0), cost: 2*n5 Applied chaining First rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=-1-arg3, arg2'=1+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0), cost: NONTERM New rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0 /\ 1+arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: NONTERM Applied chaining First rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=-1-arg3, arg2'=1+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n5+arg2, arg3'=arg3-2*n5, arg2'=2*n5+arg2, (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0), cost: 2*n5 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n5+arg2, arg3'=-1-arg3-2*n5, arg2'=1+2*n5+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0 /\ 1+arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 1+2*n5 Applied chaining First rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=-1-arg3, arg2'=1+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=1-arg3, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg3'=2+arg3, arg2'=2+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 2 Applied nonterm Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg3'=2+arg3, arg2'=2+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 2 New rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: NONTERM Applied acceleration Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2+arg2, arg3'=2+arg3, arg2'=2+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 2 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n7+arg2, arg3'=2*n7+arg3, arg2'=2*n7+arg2, (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 2*n7 Applied chaining First rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=1-arg3, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: NONTERM New rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0 /\ -arg3-arg2 > 0 /\ 1+arg2 > 0), cost: NONTERM Applied chaining First rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=1-arg3, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n7+arg2, arg3'=2*n7+arg3, arg2'=2*n7+arg2, (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 2*n7 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n7+arg2, arg3'=1+2*n7-arg3, arg2'=1+2*n7+arg2, (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0 /\ -arg3-arg2 > 0 /\ 1+arg2 > 0), cost: 1+2*n7 Applied simplification Original rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0 /\ 1+arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: NONTERM New rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: NONTERM Applied simplification Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n5+arg2, arg3'=-1-arg3-2*n5, arg2'=1+2*n5+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0 /\ 1+arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 1+2*n5 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n5+arg2, arg3'=-1-arg3-2*n5, arg2'=1+2*n5+arg2, (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 1+2*n5 Applied simplification Original rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0 /\ -arg3-arg2 > 0 /\ 1+arg2 > 0), cost: NONTERM New rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: NONTERM Applied simplification Original rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n7+arg2, arg3'=1+2*n7-arg3, arg2'=1+2*n7+arg2, (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0 /\ -arg3-arg2 > 0 /\ 1+arg2 > 0), cost: 1+2*n7 New rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n7+arg2, arg3'=1+2*n7-arg3, arg2'=1+2*n7+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1+2*n7 Applied deletion Removed the following rules: 16 Accelerated simple loops Start location: __init 7: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 8: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=0, arg2'=1+arg2, (arg1 > 0 /\ -arg3 > 0 /\ arg3+arg2 >= 0), cost: 1 9: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=0, arg2'=1+arg2, (arg1 > 0 /\ arg3 > 0 /\ 1-arg3+arg2 > 0), cost: 1 10: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=1-arg3, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1 11: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=-1-arg3, arg2'=1+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 1 12: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0), cost: NONTERM 14: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n5+arg2, arg3'=arg3-2*n5, arg2'=2*n5+arg2, (arg1 > 0 /\ -1-arg3-arg2 >= 0 /\ arg2 > 0), cost: 2*n5 18: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n7+arg2, arg3'=2*n7+arg3, arg2'=2*n7+arg2, (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 2*n7 20: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: NONTERM 21: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n5+arg2, arg3'=-1-arg3-2*n5, arg2'=1+2*n5+arg2, (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 1+2*n5 22: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: NONTERM 23: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n7+arg2, arg3'=1+2*n7-arg3, arg2'=1+2*n7+arg2, (arg1 > 0 /\ arg2 > 0 /\ -arg3-arg2 > 0), cost: 1+2*n7 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=0, arg2'=1+arg2, (arg1 > 0 /\ arg3 > 0 /\ 1-arg3+arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=2, arg3'=0, arg2'=2, (arg1 > 0 /\ -1+arg2 == 0), cost: 2 Applied chaining First rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+arg2, arg3'=-1-arg3, arg2'=1+arg2, (arg1 > 0 /\ 1-arg3+arg2 <= 0 /\ arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=2, arg3'=-1-arg2, arg2'=2, (arg1 > 0 /\ -2+arg2 >= 0), cost: 2 Applied chaining First rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=2*n7+arg2, arg3'=2*n7+arg3, arg2'=2*n7+arg2, (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 2*n7 New rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1+2*n7, arg3'=2*n7+arg2, arg2'=1+2*n7, (arg1 > 0 /\ -2+arg2 >= 0), cost: 1+2*n7 Applied chaining First rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> [3] : (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: NONTERM New rule: f1_0_main_Load -> [3] : (arg1 > 0 /\ -2+arg2 >= 0), cost: NONTERM Applied chaining First rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f169_0_loop_EQ -> f169_0_loop_EQ : arg1'=1+2*n5+arg2, arg3'=-1-arg3-2*n5, arg2'=1+2*n5+arg2, (arg1 > 0 /\ arg2 > 0 /\ -1+arg3-arg2 >= 0), cost: 1+2*n5 New rule: f1_0_main_Load -> f169_0_loop_EQ : arg1'=2+2*n5, arg3'=-1-2*n5-arg2, arg2'=2+2*n5, (arg1 > 0 /\ -2+arg2 >= 0), cost: 2+2*n5 Applied deletion Removed the following rules: 8 9 10 11 12 14 18 20 21 22 23 Chained accelerated rules with incoming rules Start location: __init 7: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1, arg3'=arg2, arg2'=1, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 24: f1_0_main_Load -> f169_0_loop_EQ : arg1'=2, arg3'=0, arg2'=2, (arg1 > 0 /\ -1+arg2 == 0), cost: 2 25: f1_0_main_Load -> f169_0_loop_EQ : arg1'=2, arg3'=-1-arg2, arg2'=2, (arg1 > 0 /\ -2+arg2 >= 0), cost: 2 26: f1_0_main_Load -> f169_0_loop_EQ : arg1'=1+2*n7, arg3'=2*n7+arg2, arg2'=1+2*n7, (arg1 > 0 /\ -2+arg2 >= 0), cost: 1+2*n7 27: f1_0_main_Load -> [3] : (arg1 > 0 /\ -2+arg2 >= 0), cost: NONTERM 28: f1_0_main_Load -> f169_0_loop_EQ : arg1'=2+2*n5, arg3'=-1-2*n5-arg2, arg2'=2+2*n5, (arg1 > 0 /\ -2+arg2 >= 0), cost: 2+2*n5 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 27: f1_0_main_Load -> [3] : (arg1 > 0 /\ -2+arg2 >= 0), cost: NONTERM 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Second rule: f1_0_main_Load -> [3] : (arg1 > 0 /\ -2+arg2 >= 0), cost: NONTERM New rule: __init -> [3] : (arg1P6 > 0 /\ -2+arg2P6 >= 0), cost: NONTERM Applied deletion Removed the following rules: 6 27 Eliminated locations on linear paths Start location: __init 29: __init -> [3] : (arg1P6 > 0 /\ -2+arg2P6 >= 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 29 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (arg1P6 > 0 /\ -2+arg2P6 >= 0)