NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f182_0_middle_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0 /\ -1+arg2 > 0), cost: 1 1: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg2 == 0 /\ -1+arg1-arg1p2 == 0 /\ -arg1+arg2 > 0), cost: 1 2: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3+arg1 == 0 /\ -arg1+arg2 < 0 /\ 1-arg2p3+arg2 == 0), cost: 1 3: __init -> f1_0_main_Load : arg1'=arg1p4, arg2'=arg2p4, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 1: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg2 == 0 /\ -1+arg1-arg1p2 == 0 /\ -arg1+arg2 > 0), cost: 1 2: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3+arg1 == 0 /\ -arg1+arg2 < 0 /\ 1-arg2p3+arg2 == 0), cost: 1 4: __init -> f182_0_middle_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p4 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0 /\ -1+arg2p4 > 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p4, arg2'=arg2p4, T, cost: 1 Second rule: f1_0_main_Load -> f182_0_middle_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0 /\ -1+arg2 > 0), cost: 1 New rule: __init -> f182_0_middle_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p4 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0 /\ -1+arg2p4 > 0), cost: 1 Applied deletion Removed the following rules: 0 3 Simplified Transitions Start location: __init Program variables: arg1 arg2 5: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, -arg1+arg2 > 0, cost: 1 6: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, -arg1+arg2 < 0, cost: 1 7: __init -> f182_0_middle_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 Propagated Equalities Original rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg2 == 0 /\ -1+arg1-arg1p2 == 0 /\ -arg1+arg2 > 0), cost: 1 New rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, (0 == 0 /\ -arg1+arg2 > 0), cost: 1 propagated equality arg2p2 = 1+arg2 propagated equality arg1p2 = -1+arg1 Simplified Guard Original rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, (0 == 0 /\ -arg1+arg2 > 0), cost: 1 New rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, -arg1+arg2 > 0, cost: 1 Propagated Equalities Original rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3+arg1 == 0 /\ -arg1+arg2 < 0 /\ 1-arg2p3+arg2 == 0), cost: 1 New rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, (0 == 0 /\ -arg1+arg2 < 0), cost: 1 propagated equality arg1p3 = -1+arg1 propagated equality arg2p3 = 1+arg2 Simplified Guard Original rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, (0 == 0 /\ -arg1+arg2 < 0), cost: 1 New rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, -arg1+arg2 < 0, cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f182_0_middle_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p4 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0 /\ -1+arg2p4 > 0), cost: 1 New rule: __init -> f182_0_middle_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 Step with 7 Trace 7[(1+arg1p1 > 0 /\ 1+arg2p1 > 0)] Blocked [{}, {}] Step with 5 Trace 7[(1+arg1p1 > 0 /\ 1+arg2p1 > 0)], 5[(-arg1+arg2 > 0)] Blocked [{}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 5: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, -arg1+arg2 > 0, cost: 1 6: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, -arg1+arg2 < 0, cost: 1 8: f182_0_middle_EQ -> LoAT_sink : (-1+n >= 0 /\ -arg1+arg2 > 0), cost: NONTERM 9: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-n+arg1, arg2'=n+arg2, (-1+n >= 0 /\ -arg1+arg2 > 0), cost: 1 7: __init -> f182_0_middle_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 Certificate of Non-Termination Original rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0), cost: 1 New rule: f182_0_middle_EQ -> LoAT_sink : (-1+n >= 0 /\ -arg1+arg2 > 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: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-1+arg1, arg2'=1+arg2, (-arg1+arg2 > 0), cost: 1 New rule: f182_0_middle_EQ -> f182_0_middle_EQ : arg1'=-n+arg1, arg2'=n+arg2, (-1+n >= 0 /\ -arg1+arg2 > 0), cost: 1 -arg1+arg2 > 0 [0]: monotonic increase yields -arg1+arg2 > 0 Replacement map: {-arg1+arg2 > 0 -> -arg1+arg2 > 0} Step with 8 Trace 7[(1+arg1p1 > 0 /\ 1+arg2p1 > 0)], 8[(-1+n >= 0 /\ -arg1+arg2 > 0)] Blocked [{}, {}, {8[T]}] Refute Counterexample [ arg1=0 arg2=1 ] 7 [ arg1=arg1 arg2=arg2 ] 8 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b