NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, (13-arg1p1 == 0 /\ 17-arg2p1 == 0), cost: 1 1: f68_0_main_GE -> f68_0_main_GE : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg1 == 0 /\ -arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0 /\ 2-arg1p2 == 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1p3, arg2'=arg2p3, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 1: f68_0_main_GE -> f68_0_main_GE : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg1 == 0 /\ -arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0 /\ 2-arg1p2 == 0), cost: 1 3: __init -> f68_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, (13-arg1p1 == 0 /\ 17-arg2p1 == 0), cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg1'=arg1p3, arg2'=arg2p3, T, cost: 1 Second rule: f1_0_main_ConstantStackPush -> f68_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, (13-arg1p1 == 0 /\ 17-arg2p1 == 0), cost: 1 New rule: __init -> f68_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, (13-arg1p1 == 0 /\ 17-arg2p1 == 0), cost: 1 Applied deletion Removed the following rules: 0 2 Simplified Transitions Start location: __init Program variables: arg1 arg2 4: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0), cost: 1 5: __init -> f68_0_main_GE : arg1'=13, arg2'=17, T, cost: 1 Propagated Equalities Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=arg1p2, arg2'=arg2p2, (1-arg2p2+arg1 == 0 /\ -arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0 /\ 2-arg1p2 == 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (0 == 0 /\ -arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0), cost: 1 propagated equality arg2p2 = 1+arg1 propagated equality arg1p2 = 2 Simplified Guard Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (0 == 0 /\ -arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0), cost: 1 Propagated Equalities Original rule: __init -> f68_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, (13-arg1p1 == 0 /\ 17-arg2p1 == 0), cost: 1 New rule: __init -> f68_0_main_GE : arg1'=13, arg2'=17, 0 == 0, cost: 1 propagated equality arg1p1 = 13 propagated equality arg2p1 = 17 Simplified Guard Original rule: __init -> f68_0_main_GE : arg1'=13, arg2'=17, 0 == 0, cost: 1 New rule: __init -> f68_0_main_GE : arg1'=13, arg2'=17, T, cost: 1 Unrolled Loops Start location: __init Program variables: arg1 arg2 4: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0), cost: 1 6: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 5: __init -> f68_0_main_GE : arg1'=13, arg2'=17, T, cost: 1 Unrolling Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 Simplified Guard Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 Step with 5 Trace 5[T] Blocked [{}, {}] Step with 4 Trace 5[T], 4[(-arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0)] Blocked [{}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 4: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0), cost: 1 6: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 7: f68_0_main_GE -> LoAT_sink : (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -1+n >= 0 /\ -2+arg2 > 0), cost: NONTERM 8: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 5: __init -> f68_0_main_GE : arg1'=13, arg2'=17, T, cost: 1 unrolling Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=1+arg1, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -2+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 Certificate of Non-Termination Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> LoAT_sink : (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -1+n >= 0 /\ -2+arg2 > 0), cost: NONTERM -arg1+arg2 > 0 [0]: monotonic increase yields -arg1+arg2 > 0 arg1 > 0 [0]: monotonic increase yields arg1 > 0 2 > 0 [0]: monotonic increase yields 2 > 0 -1+arg1 > 0 [0]: monotonic increase yields -1+arg1 > 0 -2+arg2 > 0 [0]: monotonic increase yields -2+arg2 > 0 Replacement map: {-arg1+arg2 > 0 -> -arg1+arg2 > 0, arg1 > 0 -> arg1 > 0, 2 > 0 -> 2 > 0, -1+arg1 > 0 -> -1+arg1 > 0, -2+arg2 > 0 -> -2+arg2 > 0} Loop Acceleration Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -1+n >= 0 /\ -2+arg2 > 0), cost: 1 -arg1+arg2 > 0 [0]: monotonic increase yields -arg1+arg2 > 0 arg1 > 0 [0]: monotonic increase yields arg1 > 0 2 > 0 [0]: monotonic increase yields 2 > 0 -1+arg1 > 0 [0]: monotonic increase yields -1+arg1 > 0 -2+arg2 > 0 [0]: monotonic increase yields -2+arg2 > 0 Replacement map: {-arg1+arg2 > 0 -> -arg1+arg2 > 0, arg1 > 0 -> arg1 > 0, 2 > 0 -> 2 > 0, -1+arg1 > 0 -> -1+arg1 > 0, -2+arg2 > 0 -> -2+arg2 > 0} Simplified Guard Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -1+n >= 0 /\ -2+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -1+arg1 > 0 /\ -1+n >= 0 /\ -2+arg2 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -1+arg1 > 0 /\ -1+n >= 0 /\ -2+arg2 > 0), cost: 1 New rule: f68_0_main_GE -> f68_0_main_GE : arg1'=2, arg2'=3, (-arg1+arg2 > 0 /\ arg1 > 0 /\ -1+arg1 > 0 /\ -2+arg2 > 0), cost: 1 Step with 7 Trace 5[T], 7[(-arg1+arg2 > 0 /\ arg1 > 0 /\ 2 > 0 /\ -1+arg1 > 0 /\ -1+n >= 0 /\ -2+arg2 > 0)] Blocked [{}, {}, {7[T]}] Refute Counterexample [ arg1=13 arg2=17 ] 5 [ arg1=arg1 arg2=arg2 ] 7 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b