NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 1: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p2, arg2'=arg2p2, (10-arg1p2 == 0 /\ 10-arg1 == 0), cost: 1 2: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p3, arg2'=arg2p3, (-10+arg1 < 0 /\ -1-arg1p3+arg1 == 0 /\ -5+arg1 > 0), cost: 1 3: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p4, arg2'=arg2p4, (-10+arg1 > 0 /\ -1-arg1p4+arg1 == 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1p5, arg2'=arg2p5, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 1: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p2, arg2'=arg2p2, (10-arg1p2 == 0 /\ 10-arg1 == 0), cost: 1 2: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p3, arg2'=arg2p3, (-10+arg1 < 0 /\ -1-arg1p3+arg1 == 0 /\ -5+arg1 > 0), cost: 1 3: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p4, arg2'=arg2p4, (-10+arg1 > 0 /\ -1-arg1p4+arg1 == 0), cost: 1 5: __init -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (arg2p5-arg1p1 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p5, arg2'=arg2p5, T, cost: 1 Second rule: f1_0_main_Load -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (arg2p5-arg1p1 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 Applied deletion Removed the following rules: 0 4 Simplified Transitions Start location: __init Program variables: arg1 arg2 6: f51_0_loop_LE -> f51_0_loop_LE : arg1'=10, arg2'=arg2p2, 10-arg1 == 0, cost: 1 7: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p3, (-10+arg1 < 0 /\ -5+arg1 > 0), cost: 1 8: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p4, -10+arg1 > 0, cost: 1 9: __init -> f51_0_loop_LE : arg1'=arg2p5, arg2'=arg2p1, (1+arg2p5 > 0), cost: 1 Propagated Equalities Original rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p2, arg2'=arg2p2, (10-arg1p2 == 0 /\ 10-arg1 == 0), cost: 1 New rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=10, arg2'=arg2p2, (0 == 0 /\ 10-arg1 == 0), cost: 1 propagated equality arg1p2 = 10 Simplified Guard Original rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=10, arg2'=arg2p2, (0 == 0 /\ 10-arg1 == 0), cost: 1 New rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=10, arg2'=arg2p2, 10-arg1 == 0, cost: 1 Propagated Equalities Original rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p3, arg2'=arg2p3, (-10+arg1 < 0 /\ -1-arg1p3+arg1 == 0 /\ -5+arg1 > 0), cost: 1 New rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p3, (0 == 0 /\ -10+arg1 < 0 /\ -5+arg1 > 0), cost: 1 propagated equality arg1p3 = -1+arg1 Simplified Guard Original rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p3, (0 == 0 /\ -10+arg1 < 0 /\ -5+arg1 > 0), cost: 1 New rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p3, (-10+arg1 < 0 /\ -5+arg1 > 0), cost: 1 Propagated Equalities Original rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=arg1p4, arg2'=arg2p4, (-10+arg1 > 0 /\ -1-arg1p4+arg1 == 0), cost: 1 New rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p4, (0 == 0 /\ -10+arg1 > 0), cost: 1 propagated equality arg1p4 = -1+arg1 Simplified Guard Original rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p4, (0 == 0 /\ -10+arg1 > 0), cost: 1 New rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p4, -10+arg1 > 0, cost: 1 Propagated Equalities Original rule: __init -> f51_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (arg2p5-arg1p1 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 New rule: __init -> f51_0_loop_LE : arg1'=arg2p5, arg2'=arg2p1, (0 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 propagated equality arg1p1 = arg2p5 Simplified Guard Original rule: __init -> f51_0_loop_LE : arg1'=arg2p5, arg2'=arg2p1, (0 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 New rule: __init -> f51_0_loop_LE : arg1'=arg2p5, arg2'=arg2p1, (arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f51_0_loop_LE : arg1'=arg2p5, arg2'=arg2p1, (arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 New rule: __init -> f51_0_loop_LE : arg1'=arg2p5, arg2'=arg2p1, (1+arg2p5 > 0), cost: 1 Step with 9 Trace 9[(1+arg2p5 > 0)] Blocked [{}, {}] Step with 6 Trace 9[(1+arg2p5 > 0)], 6[(10-arg1 == 0)] Blocked [{}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 6: f51_0_loop_LE -> f51_0_loop_LE : arg1'=10, arg2'=arg2p2, 10-arg1 == 0, cost: 1 7: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p3, (-10+arg1 < 0 /\ -5+arg1 > 0), cost: 1 8: f51_0_loop_LE -> f51_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p4, -10+arg1 > 0, cost: 1 10: f51_0_loop_LE -> LoAT_sink : (-1+n >= 0 /\ -10+arg1 >= 0 /\ 10-arg1 >= 0), cost: NONTERM 9: __init -> f51_0_loop_LE : arg1'=arg2p5, arg2'=arg2p1, (1+arg2p5 > 0), cost: 1 Certificate of Non-Termination Original rule: f51_0_loop_LE -> f51_0_loop_LE : arg1'=10, arg2'=arg2p2, (10-arg1 == 0), cost: 1 New rule: f51_0_loop_LE -> LoAT_sink : (-1+n >= 0 /\ -10+arg1 >= 0 /\ 10-arg1 >= 0), cost: NONTERM -10+arg1 >= 0 [0]: monotonic increase yields -10+arg1 >= 0 10-arg1 >= 0 [0]: monotonic increase yields 10-arg1 >= 0 Replacement map: {-10+arg1 >= 0 -> -10+arg1 >= 0, 10-arg1 >= 0 -> 10-arg1 >= 0} Step with 10 Trace 9[(1+arg2p5 > 0)], 10[(-1+n >= 0 /\ -10+arg1 >= 0 /\ 10-arg1 >= 0)] Blocked [{}, {}, {10[T]}] Refute Counterexample [ arg1=10 arg2=0 ] 9 [ arg1=arg1 arg2=arg2 ] 10 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b