NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f51_0_loop_InvokeMethod : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ -1-arg2p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 1: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg1p2, arg2'=arg2p2, (-arg1+arg2 < 0 /\ -arg1p2+arg2 == 0 /\ -1-arg2p2+arg2 == 0), cost: 1 2: __init -> f1_0_main_Load : arg1'=arg1p3, arg2'=arg2p3, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 1: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg1p2, arg2'=arg2p2, (-arg1+arg2 < 0 /\ -arg1p2+arg2 == 0 /\ -1-arg2p2+arg2 == 0), cost: 1 3: __init -> f51_0_loop_InvokeMethod : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ -1-arg2p1+arg2p3 == 0 /\ arg1p3 > 0 /\ -arg1p1+arg2p3 == 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p3, arg2'=arg2p3, T, cost: 1 Second rule: f1_0_main_Load -> f51_0_loop_InvokeMethod : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ -1-arg2p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f51_0_loop_InvokeMethod : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ -1-arg2p1+arg2p3 == 0 /\ arg1p3 > 0 /\ -arg1p1+arg2p3 == 0), cost: 1 Applied deletion Removed the following rules: 0 2 Simplified Transitions Start location: __init Program variables: arg1 arg2 4: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, -arg1+arg2 < 0, cost: 1 5: __init -> f51_0_loop_InvokeMethod : arg1'=arg2p3, arg2'=-1+arg2p3, (1+arg2p3 > 0), cost: 1 Propagated Equalities Original rule: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg1p2, arg2'=arg2p2, (-arg1+arg2 < 0 /\ -arg1p2+arg2 == 0 /\ -1-arg2p2+arg2 == 0), cost: 1 New rule: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, (0 == 0 /\ -arg1+arg2 < 0), cost: 1 propagated equality arg1p2 = arg2 propagated equality arg2p2 = -1+arg2 Simplified Guard Original rule: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, (0 == 0 /\ -arg1+arg2 < 0), cost: 1 New rule: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, -arg1+arg2 < 0, cost: 1 Propagated Equalities Original rule: __init -> f51_0_loop_InvokeMethod : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p3 > 0 /\ -1-arg2p1+arg2p3 == 0 /\ arg1p3 > 0 /\ -arg1p1+arg2p3 == 0), cost: 1 New rule: __init -> f51_0_loop_InvokeMethod : arg1'=arg2p3, arg2'=-1+arg2p3, (0 == 0 /\ 1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1 propagated equality arg2p1 = -1+arg2p3 propagated equality arg1p1 = arg2p3 Simplified Guard Original rule: __init -> f51_0_loop_InvokeMethod : arg1'=arg2p3, arg2'=-1+arg2p3, (0 == 0 /\ 1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1 New rule: __init -> f51_0_loop_InvokeMethod : arg1'=arg2p3, arg2'=-1+arg2p3, (1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f51_0_loop_InvokeMethod : arg1'=arg2p3, arg2'=-1+arg2p3, (1+arg2p3 > 0 /\ arg1p3 > 0), cost: 1 New rule: __init -> f51_0_loop_InvokeMethod : arg1'=arg2p3, arg2'=-1+arg2p3, (1+arg2p3 > 0), cost: 1 Step with 5 Trace 5[(1+arg2p3 > 0)] Blocked [{}, {}] Step with 4 Trace 5[(1+arg2p3 > 0)], 4[(-arg1+arg2 < 0)] Blocked [{}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 4: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, -arg1+arg2 < 0, cost: 1 6: f51_0_loop_InvokeMethod -> LoAT_sink : (arg1-arg2 > 0 /\ -1+n >= 0), cost: NONTERM 7: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=1-n+arg2, arg2'=-n+arg2, (arg1-arg2 > 0 /\ -1+n >= 0), cost: 1 5: __init -> f51_0_loop_InvokeMethod : arg1'=arg2p3, arg2'=-1+arg2p3, (1+arg2p3 > 0), cost: 1 Certificate of Non-Termination Original rule: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, (-arg1+arg2 < 0), cost: 1 New rule: f51_0_loop_InvokeMethod -> LoAT_sink : (arg1-arg2 > 0 /\ -1+n >= 0), cost: NONTERM arg1-arg2 > 0 [0]: monotonic increase yields arg1-arg2 > 0 Replacement map: {arg1-arg2 > 0 -> arg1-arg2 > 0} Loop Acceleration Original rule: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, (-arg1+arg2 < 0), cost: 1 New rule: f51_0_loop_InvokeMethod -> f51_0_loop_InvokeMethod : arg1'=1-n+arg2, arg2'=-n+arg2, (arg1-arg2 > 0 /\ -1+n >= 0), cost: 1 arg1-arg2 > 0 [0]: monotonic increase yields arg1-arg2 > 0 Replacement map: {arg1-arg2 > 0 -> arg1-arg2 > 0} Step with 6 Trace 5[(1+arg2p3 > 0)], 6[(arg1-arg2 > 0 /\ -1+n >= 0)] Blocked [{}, {}, {6[T]}] Refute Counterexample [ arg1=0 arg2=-1 ] 5 [ arg1=arg1 arg2=arg2 ] 6 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b