NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0 /\ -1+arg2 > 0), cost: 1 1: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1p2, arg2'=arg2p2, (-arg1p2+arg2 == 0 /\ -arg2p2+arg1 == 0 /\ arg1 > 0 /\ 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: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1p2, arg2'=arg2p2, (-arg1p2+arg2 == 0 /\ -arg2p2+arg1 == 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 3: __init -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p3 > 0 /\ -1+arg2p3 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 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 -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0 /\ -1+arg2 > 0), cost: 1 New rule: __init -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p3 > 0 /\ -1+arg2p3 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 Applied deletion Removed the following rules: 0 2 Simplified Transitions Start location: __init Program variables: arg1 arg2 4: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg2, arg2'=arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 5: __init -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 Propagated Equalities Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1p2, arg2'=arg2p2, (-arg1p2+arg2 == 0 /\ -arg2p2+arg1 == 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg2, arg2'=arg1, (0 == 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 propagated equality arg1p2 = arg2 propagated equality arg2p2 = arg1 Simplified Guard Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg2, arg2'=arg1, (0 == 0 /\ arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg2, arg2'=arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p3 > 0 /\ -1+arg2p3 > 0 /\ 1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 New rule: __init -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 Unrolled Loops Start location: __init Program variables: arg1 arg2 4: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg2, arg2'=arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 6: f116_0_flip_EQ -> f116_0_flip_EQ : (arg1 > 0 /\ arg2 > 0), cost: 1 5: __init -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 Unrolling Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg2, arg2'=arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 Removed Trivial Updates Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : (arg1 > 0 /\ arg2 > 0), cost: 1 Step with 5 Trace 5[(1+arg1p1 > 0 /\ 1+arg2p1 > 0)] Blocked [{}, {}] Step with 4 Trace 5[(1+arg1p1 > 0 /\ 1+arg2p1 > 0)], 4[(arg1 > 0 /\ arg2 > 0)] Blocked [{}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 4: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg2, arg2'=arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 6: f116_0_flip_EQ -> f116_0_flip_EQ : (arg1 > 0 /\ arg2 > 0), cost: 1 7: f116_0_flip_EQ -> LoAT_sink : (arg1 > 0 /\ -1+n >= 0 /\ arg2 > 0), cost: NONTERM 8: f116_0_flip_EQ -> f116_0_flip_EQ : (arg1 > 0 /\ arg2 > 0), cost: 1 5: __init -> f116_0_flip_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg1p1 > 0 /\ 1+arg2p1 > 0), cost: 1 unrolling Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg2, arg2'=arg1, (arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 Certificate of Non-Termination Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> LoAT_sink : (arg1 > 0 /\ -1+n >= 0 /\ arg2 > 0), cost: NONTERM arg1 > 0 [0]: monotonic increase yields arg1 > 0 arg2 > 0 [0]: monotonic increase yields arg2 > 0 Replacement map: {arg1 > 0 -> arg1 > 0, arg2 > 0 -> arg2 > 0} Loop Acceleration Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ -1+n >= 0 /\ arg2 > 0), cost: 1 arg1 > 0 [0]: monotonic increase yields arg1 > 0 arg2 > 0 [0]: monotonic increase yields arg2 > 0 Replacement map: {arg1 > 0 -> arg1 > 0, arg2 > 0 -> arg2 > 0} Eliminated Temporary Variables via Transitive Closure Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ -1+n >= 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 Removed Trivial Updates Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg1'=arg1, arg2'=arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : (arg1 > 0 /\ arg2 > 0), cost: 1 Step with 7 Trace 5[(1+arg1p1 > 0 /\ 1+arg2p1 > 0)], 7[(arg1 > 0 /\ -1+n >= 0 /\ arg2 > 0)] Blocked [{}, {}, {7[T]}] Refute Counterexample [ arg1=1 arg2=1 ] 5 [ arg1=arg1 arg2=arg2 ] 7 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b