NO Initial ITS Start location: __init Program variables: arg1 arg2 arg3 0: f1_0_main_Load -> f437_0_loop_aux_GT : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg3p1+arg2 == 0 /\ 1+arg2 > 0 /\ -20-arg2p1 == 0 /\ arg1 > 0 /\ 20-arg1p1 == 0), cost: 1 1: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg3-arg1p2 == 0 /\ arg3-arg2 >= 0 /\ -arg2p2-arg3 == 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0 /\ -arg3p2+arg1 == 0), cost: 1 2: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg3-arg1p3 == 0 /\ -5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ -arg3p3+arg1 == 0 /\ -arg2p3-arg3 == 0 /\ arg3-arg1 <= 0), cost: 1 4: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -1-arg1-arg2p5 == 0 /\ -5-arg3+arg1 >= 0 /\ -1+arg3-arg3p5 == 0 /\ arg3-arg1 <= 0 /\ 1-arg1p5+arg1 == 0), cost: 1 5: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p6, arg2'=arg2p6, arg3'=arg3p6, (1-arg1p6+arg1 == 0 /\ -1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1-arg3p6+arg3 == 0 /\ -1-arg1-arg2p6 == 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 6: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p7, arg2'=arg2p7, arg3'=arg3p7, (-2+arg2 < 0 /\ -arg3p7 == 0 /\ 1-arg3 == 0 /\ 1-arg2p7 == 0 /\ -1-arg1p7 == 0 /\ -5+arg1 > 0), cost: 1 3: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-arg3+arg1 <= 0 /\ -arg2p4-arg3 == 0 /\ -arg3p4+arg2 == 0 /\ arg3-arg1p4 == 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1p8, arg2'=arg2p8, arg3'=arg3p8, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 arg3 1: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg3-arg1p2 == 0 /\ arg3-arg2 >= 0 /\ -arg2p2-arg3 == 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0 /\ -arg3p2+arg1 == 0), cost: 1 2: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg3-arg1p3 == 0 /\ -5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ -arg3p3+arg1 == 0 /\ -arg2p3-arg3 == 0 /\ arg3-arg1 <= 0), cost: 1 4: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -1-arg1-arg2p5 == 0 /\ -5-arg3+arg1 >= 0 /\ -1+arg3-arg3p5 == 0 /\ arg3-arg1 <= 0 /\ 1-arg1p5+arg1 == 0), cost: 1 5: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p6, arg2'=arg2p6, arg3'=arg3p6, (1-arg1p6+arg1 == 0 /\ -1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1-arg3p6+arg3 == 0 /\ -1-arg1-arg2p6 == 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 6: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p7, arg2'=arg2p7, arg3'=arg3p7, (-2+arg2 < 0 /\ -arg3p7 == 0 /\ 1-arg3 == 0 /\ 1-arg2p7 == 0 /\ -1-arg1p7 == 0 /\ -5+arg1 > 0), cost: 1 3: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-arg3+arg1 <= 0 /\ -arg2p4-arg3 == 0 /\ -arg3p4+arg2 == 0 /\ arg3-arg1p4 == 0), cost: 1 8: __init -> f437_0_loop_aux_GT : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-20-arg2p1 == 0 /\ arg1p8 > 0 /\ 1+arg2p8 > 0 /\ -arg3p1+arg2p8 == 0 /\ 20-arg1p1 == 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p8, arg2'=arg2p8, arg3'=arg3p8, T, cost: 1 Second rule: f1_0_main_Load -> f437_0_loop_aux_GT : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg3p1+arg2 == 0 /\ 1+arg2 > 0 /\ -20-arg2p1 == 0 /\ arg1 > 0 /\ 20-arg1p1 == 0), cost: 1 New rule: __init -> f437_0_loop_aux_GT : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-20-arg2p1 == 0 /\ arg1p8 > 0 /\ 1+arg2p8 > 0 /\ -arg3p1+arg2p8 == 0 /\ 20-arg1p1 == 0), cost: 1 Applied deletion Removed the following rules: 0 7 Simplified Transitions Start location: __init Program variables: arg1 arg2 arg3 9: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 10: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (-5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 12: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 13: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 14: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=-1, arg2'=1, arg3'=0, (-2+arg2 < 0 /\ 1-arg3 == 0 /\ -5+arg1 > 0), cost: 1 11: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg3, arg2'=-arg3, arg3'=arg2, -arg3+arg1 <= 0, cost: 1 15: __init -> f437_0_loop_aux_GT : arg1'=20, arg2'=-20, arg3'=arg2p8, (1+arg2p8 > 0), cost: 1 Propagated Equalities Original rule: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg3-arg1p2 == 0 /\ arg3-arg2 >= 0 /\ -arg2p2-arg3 == 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0 /\ -arg3p2+arg1 == 0), cost: 1 New rule: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (0 == 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 propagated equality arg1p2 = arg3 propagated equality arg2p2 = -arg3 propagated equality arg3p2 = arg1 Simplified Guard Original rule: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (0 == 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 Propagated Equalities Original rule: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg3-arg1p3 == 0 /\ -5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ -arg3p3+arg1 == 0 /\ -arg2p3-arg3 == 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (0 == 0 /\ -5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 propagated equality arg1p3 = arg3 propagated equality arg3p3 = arg1 propagated equality arg2p3 = -arg3 Simplified Guard Original rule: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (0 == 0 /\ -5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (-5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 Propagated Equalities Original rule: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-arg3+arg1 <= 0 /\ -arg2p4-arg3 == 0 /\ -arg3p4+arg2 == 0 /\ arg3-arg1p4 == 0), cost: 1 New rule: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg3, arg2'=-arg3, arg3'=arg2, (0 == 0 /\ -arg3+arg1 <= 0), cost: 1 propagated equality arg2p4 = -arg3 propagated equality arg3p4 = arg2 propagated equality arg1p4 = arg3 Simplified Guard Original rule: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg3, arg2'=-arg3, arg3'=arg2, (0 == 0 /\ -arg3+arg1 <= 0), cost: 1 New rule: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg3, arg2'=-arg3, arg3'=arg2, -arg3+arg1 <= 0, cost: 1 Propagated Equalities Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -1-arg1-arg2p5 == 0 /\ -5-arg3+arg1 >= 0 /\ -1+arg3-arg3p5 == 0 /\ arg3-arg1 <= 0 /\ 1-arg1p5+arg1 == 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (0 == 0 /\ -1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 propagated equality arg2p5 = -1-arg1 propagated equality arg3p5 = -1+arg3 propagated equality arg1p5 = 1+arg1 Simplified Guard Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (0 == 0 /\ -1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 Propagated Equalities Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p6, arg2'=arg2p6, arg3'=arg3p6, (1-arg1p6+arg1 == 0 /\ -1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1-arg3p6+arg3 == 0 /\ -1-arg1-arg2p6 == 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (0 == 0 /\ -1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 propagated equality arg1p6 = 1+arg1 propagated equality arg3p6 = -1+arg3 propagated equality arg2p6 = -1-arg1 Simplified Guard Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (0 == 0 /\ -1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 Propagated Equalities Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=arg1p7, arg2'=arg2p7, arg3'=arg3p7, (-2+arg2 < 0 /\ -arg3p7 == 0 /\ 1-arg3 == 0 /\ 1-arg2p7 == 0 /\ -1-arg1p7 == 0 /\ -5+arg1 > 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=-1, arg2'=1, arg3'=0, (0 == 0 /\ -2+arg2 < 0 /\ 1-arg3 == 0 /\ -5+arg1 > 0), cost: 1 propagated equality arg3p7 = 0 propagated equality arg2p7 = 1 propagated equality arg1p7 = -1 Simplified Guard Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=-1, arg2'=1, arg3'=0, (0 == 0 /\ -2+arg2 < 0 /\ 1-arg3 == 0 /\ -5+arg1 > 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=-1, arg2'=1, arg3'=0, (-2+arg2 < 0 /\ 1-arg3 == 0 /\ -5+arg1 > 0), cost: 1 Propagated Equalities Original rule: __init -> f437_0_loop_aux_GT : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-20-arg2p1 == 0 /\ arg1p8 > 0 /\ 1+arg2p8 > 0 /\ -arg3p1+arg2p8 == 0 /\ 20-arg1p1 == 0), cost: 1 New rule: __init -> f437_0_loop_aux_GT : arg1'=20, arg2'=-20, arg3'=arg2p8, (0 == 0 /\ arg1p8 > 0 /\ 1+arg2p8 > 0), cost: 1 propagated equality arg2p1 = -20 propagated equality arg3p1 = arg2p8 propagated equality arg1p1 = 20 Simplified Guard Original rule: __init -> f437_0_loop_aux_GT : arg1'=20, arg2'=-20, arg3'=arg2p8, (0 == 0 /\ arg1p8 > 0 /\ 1+arg2p8 > 0), cost: 1 New rule: __init -> f437_0_loop_aux_GT : arg1'=20, arg2'=-20, arg3'=arg2p8, (arg1p8 > 0 /\ 1+arg2p8 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f437_0_loop_aux_GT : arg1'=20, arg2'=-20, arg3'=arg2p8, (arg1p8 > 0 /\ 1+arg2p8 > 0), cost: 1 New rule: __init -> f437_0_loop_aux_GT : arg1'=20, arg2'=-20, arg3'=arg2p8, (1+arg2p8 > 0), cost: 1 Step with 15 Trace 15[(1+arg2p8 > 0)] Blocked [{}, {}] Step with 9 Trace 15[(1+arg2p8 > 0)], 9[(arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0)] Blocked [{}, {}, {}] Step with 11 Trace 15[(1+arg2p8 > 0)], 9[(arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0)], 11[(-arg3+arg1 <= 0)] Blocked [{}, {}, {}, {}] Accelerate and Drop Start location: __init Program variables: arg1 arg2 arg3 9: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 10: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (-5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 12: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 13: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 14: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=-1, arg2'=1, arg3'=0, (-2+arg2 < 0 /\ 1-arg3 == 0 /\ -5+arg1 > 0), cost: 1 16: f437_0_loop_aux_GT -> LoAT_sink : (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg1 >= 0 /\ -arg1-arg2 <= 0 /\ 5-arg3-arg1 > 0), cost: NONTERM 17: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg1 >= 0 /\ 5-arg3-arg1 > 0), cost: 1 11: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg3, arg2'=-arg3, arg3'=arg2, -arg3+arg1 <= 0, cost: 1 15: __init -> f437_0_loop_aux_GT : arg1'=20, arg2'=-20, arg3'=arg2p8, (1+arg2p8 > 0), cost: 1 unrolling Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, arg3'=-arg3, (arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, arg3'=arg3, (-5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -arg3-arg1 <= 0 /\ -arg3+arg1 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 Certificate of Non-Termination Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, arg3'=arg3, (-5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -arg3-arg1 <= 0 /\ -arg3+arg1 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> LoAT_sink : (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg1 >= 0 /\ -arg1-arg2 <= 0 /\ 5-arg3-arg1 > 0), cost: NONTERM arg3+arg1 >= 0 [0]: monotonic increase yields arg3+arg1 >= 0 5+arg3-arg1 > 0 [0]: monotonic increase yields 5+arg3-arg1 > 0 arg3-arg2 >= 0 [0]: eventual decrease yields (arg3+arg1 >= 0 /\ arg3-arg2 >= 0) arg3-arg2 >= 0 [1]: eventual increase yields (arg3-arg2 >= 0 /\ -arg1-arg2 <= 0) -arg3+arg1 >= 0 [0]: monotonic increase yields -arg3+arg1 >= 0 5-arg3-arg1 > 0 [0]: monotonic increase yields 5-arg3-arg1 > 0 Replacement map: {arg3+arg1 >= 0 -> arg3+arg1 >= 0, 5+arg3-arg1 > 0 -> 5+arg3-arg1 > 0, arg3-arg2 >= 0 -> (arg3-arg2 >= 0 /\ -arg1-arg2 <= 0), -arg3+arg1 >= 0 -> -arg3+arg1 >= 0, 5-arg3-arg1 > 0 -> 5-arg3-arg1 > 0} Loop Acceleration Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, arg3'=arg3, (-5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -arg3-arg1 <= 0 /\ -arg3+arg1 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, arg3'=arg3, (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -1+n >= 0 /\ -arg3+arg1 >= 0 /\ 5-arg3-arg1 > 0), cost: 1 arg3+arg1 >= 0 [0]: monotonic increase yields arg3+arg1 >= 0 5+arg3-arg1 > 0 [0]: monotonic increase yields 5+arg3-arg1 > 0 arg3-arg2 >= 0 [0]: eventual decrease yields (arg3+arg1 >= 0 /\ arg3-arg2 >= 0) arg3-arg2 >= 0 [1]: eventual increase yields (arg3-arg2 >= 0 /\ -arg1-arg2 <= 0) -arg3+arg1 >= 0 [0]: monotonic increase yields -arg3+arg1 >= 0 5-arg3-arg1 > 0 [0]: monotonic increase yields 5-arg3-arg1 > 0 Replacement map: {arg3+arg1 >= 0 -> arg3+arg1 >= 0, 5+arg3-arg1 > 0 -> 5+arg3-arg1 > 0, arg3-arg2 >= 0 -> (arg3+arg1 >= 0 /\ arg3-arg2 >= 0), -arg3+arg1 >= 0 -> -arg3+arg1 >= 0, 5-arg3-arg1 > 0 -> 5-arg3-arg1 > 0} Eliminated Temporary Variables via Transitive Closure Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, arg3'=arg3, (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -1+n >= 0 /\ -arg3+arg1 >= 0 /\ 5-arg3-arg1 > 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, arg3'=arg3, (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg1 >= 0 /\ 5-arg3-arg1 > 0), cost: 1 Removed Trivial Updates Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, arg3'=arg3, (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg1 >= 0 /\ 5-arg3-arg1 > 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg1 >= 0 /\ 5-arg3-arg1 > 0), cost: 1 Trace 15[(1+arg2p8 > 0)] Blocked [{}, {9[T]}] Step with 12 Trace 15[(1+arg2p8 > 0)], 12[(-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0)] Blocked [{}, {9[T], 10[T]}, {}] Nonterm Start location: __init Program variables: arg1 arg2 arg3 9: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (arg3-arg2 >= 0 /\ -5-arg3+arg1 < 0 /\ arg3-arg1 <= 0), cost: 1 10: f437_0_loop_aux_GT -> f509_0_loop_aux_InvokeMethod : arg1'=arg3, arg2'=-arg3, arg3'=arg1, (-5+arg3+arg1 < 0 /\ arg3-arg2 >= 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 12: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 13: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 > 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 14: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=-1, arg2'=1, arg3'=0, (-2+arg2 < 0 /\ 1-arg3 == 0 /\ -5+arg1 > 0), cost: 1 16: f437_0_loop_aux_GT -> LoAT_sink : (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg1 >= 0 /\ -arg1-arg2 <= 0 /\ 5-arg3-arg1 > 0), cost: NONTERM 17: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg2'=-arg1, (arg3+arg1 >= 0 /\ 5+arg3-arg1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg1 >= 0 /\ 5-arg3-arg1 > 0), cost: 1 18: f437_0_loop_aux_GT -> LoAT_sink : (-1+n1 >= 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ 1-arg3 > 0 /\ -arg3+arg1 >= 0 /\ 1-arg3+arg1 > 0 /\ -5-arg3+arg1 >= 0), cost: NONTERM 19: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=n1+arg1, arg2'=-n1-arg1, arg3'=arg3-n1, (-1+n1 >= 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ 1-arg3 > 0 /\ -arg3+arg1 >= 0 /\ 1-arg3+arg1 > 0 /\ -5-arg3+arg1 >= 0), cost: 1 11: f509_0_loop_aux_InvokeMethod -> f437_0_loop_aux_GT : arg1'=arg3, arg2'=-arg3, arg3'=arg2, -arg3+arg1 <= 0, cost: 1 15: __init -> f437_0_loop_aux_GT : arg1'=20, arg2'=-20, arg3'=arg2p8, (1+arg2p8 > 0), cost: 1 Certificate of Non-Termination Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> LoAT_sink : (-1+n1 >= 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ 1-arg3 > 0 /\ -arg3+arg1 >= 0 /\ 1-arg3+arg1 > 0 /\ -5-arg3+arg1 >= 0), cost: NONTERM -5+arg3+arg1 >= 0 [0]: monotonic increase yields -5+arg3+arg1 >= 0 arg3-arg2 >= 0 [0]: monotonic increase yields arg3-arg2 >= 0, dependencies: -5+arg3+arg1 >= 0 1-arg3 > 0 [0]: monotonic increase yields 1-arg3 > 0 -arg3+arg1 >= 0 [0]: monotonic increase yields -arg3+arg1 >= 0, dependencies: -5+arg3+arg1 >= 0 1-arg3 > 0 1-arg3+arg1 > 0 [0]: monotonic increase yields 1-arg3+arg1 > 0, dependencies: -5+arg3+arg1 >= 0 1-arg3 > 0 -5-arg3+arg1 >= 0 [0]: monotonic increase yields -5-arg3+arg1 >= 0, dependencies: -5+arg3+arg1 >= 0 1-arg3 > 0 Replacement map: {-5+arg3+arg1 >= 0 -> -5+arg3+arg1 >= 0, arg3-arg2 >= 0 -> arg3-arg2 >= 0, 1-arg3 > 0 -> 1-arg3 > 0, -arg3+arg1 >= 0 -> -arg3+arg1 >= 0, 1-arg3+arg1 > 0 -> 1-arg3+arg1 > 0, -5-arg3+arg1 >= 0 -> -5-arg3+arg1 >= 0} Loop Acceleration Original rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=1+arg1, arg2'=-1-arg1, arg3'=-1+arg3, (-1+arg3-arg1 < 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ -1+arg3 < 0 /\ -5-arg3+arg1 >= 0 /\ arg3-arg1 <= 0), cost: 1 New rule: f437_0_loop_aux_GT -> f437_0_loop_aux_GT : arg1'=n1+arg1, arg2'=-n1-arg1, arg3'=arg3-n1, (-1+n1 >= 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ 1-arg3 > 0 /\ -arg3+arg1 >= 0 /\ 1-arg3+arg1 > 0 /\ -5-arg3+arg1 >= 0), cost: 1 -5+arg3+arg1 >= 0 [0]: monotonic increase yields -5+arg3+arg1 >= 0 arg3-arg2 >= 0 [0]: monotonic increase yields arg3-arg2 >= 0, dependencies: -5+arg3+arg1 >= 0 1-arg3 > 0 [0]: monotonic increase yields 1-arg3 > 0 -arg3+arg1 >= 0 [0]: monotonic increase yields -arg3+arg1 >= 0, dependencies: -5+arg3+arg1 >= 0 1-arg3 > 0 1-arg3+arg1 > 0 [0]: monotonic increase yields 1-arg3+arg1 > 0, dependencies: -5+arg3+arg1 >= 0 1-arg3 > 0 -5-arg3+arg1 >= 0 [0]: monotonic increase yields -5-arg3+arg1 >= 0, dependencies: -5+arg3+arg1 >= 0 1-arg3 > 0 Replacement map: {-5+arg3+arg1 >= 0 -> -5+arg3+arg1 >= 0, arg3-arg2 >= 0 -> arg3-arg2 >= 0, 1-arg3 > 0 -> 1-arg3 > 0, -arg3+arg1 >= 0 -> -arg3+arg1 >= 0, 1-arg3+arg1 > 0 -> 1-arg3+arg1 > 0, -5-arg3+arg1 >= 0 -> -5-arg3+arg1 >= 0} Step with 18 Trace 15[(1+arg2p8 > 0)], 18[(-1+n1 >= 0 /\ -5+arg3+arg1 >= 0 /\ arg3-arg2 >= 0 /\ 1-arg3 > 0 /\ -arg3+arg1 >= 0 /\ 1-arg3+arg1 > 0 /\ -5-arg3+arg1 >= 0)] Blocked [{}, {9[T], 10[T]}, {18[T]}] Refute Counterexample [ arg1=20 arg2=-20 arg3=0 ] 15 [ arg1=arg1 arg2=arg2 arg3=arg3 ] 18 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b