NO Initial ITS Start location: __init Program variables: arg1 arg2 arg3 0: f1_0_main_Load -> f181_0_main_LE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-1+arg2-arg1p1 == 0 /\ -1+arg2p1 > 0 /\ 1+arg2 > 0 /\ arg2-arg3p1 == 0 /\ -1+arg2p1-arg1 <= 0 /\ arg1 > 0), cost: 1 1: f181_0_main_LE -> f181_0_main_LE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-1-arg1p2+arg1 == 0 /\ arg3 > 0 /\ arg2 > 0 /\ -arg3p2+arg1 == 0 /\ -2+arg2p2-arg2 <= 0 /\ -2+arg2p2 > 0), cost: 1 2: f181_0_main_LE -> f168_0_visit_NULL : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg2 > 0 /\ -1+arg3 < 0 /\ arg1p3 > 0), cost: 1 3: f181_0_main_LE -> f168_0_visit_NULL : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-1+arg3 < 0 /\ -2+arg1p4 > 0 /\ -1+arg2 > 0 /\ -1-arg2+arg1p4 <= 0), cost: 1 4: f168_0_visit_NULL -> f168_0_visit_NULL : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (1+arg1p5 > 0 /\ arg1 > 0), cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1p6, arg2'=arg2p6, arg3'=arg3p6, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 arg3 1: f181_0_main_LE -> f181_0_main_LE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-1-arg1p2+arg1 == 0 /\ arg3 > 0 /\ arg2 > 0 /\ -arg3p2+arg1 == 0 /\ -2+arg2p2-arg2 <= 0 /\ -2+arg2p2 > 0), cost: 1 2: f181_0_main_LE -> f168_0_visit_NULL : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg2 > 0 /\ -1+arg3 < 0 /\ arg1p3 > 0), cost: 1 3: f181_0_main_LE -> f168_0_visit_NULL : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-1+arg3 < 0 /\ -2+arg1p4 > 0 /\ -1+arg2 > 0 /\ -1-arg2+arg1p4 <= 0), cost: 1 4: f168_0_visit_NULL -> f168_0_visit_NULL : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (1+arg1p5 > 0 /\ arg1 > 0), cost: 1 6: __init -> f181_0_main_LE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p6 > 0 /\ -1+arg2p1-arg1p6 <= 0 /\ -arg3p1+arg2p6 == 0 /\ -1+arg2p1 > 0 /\ -1-arg1p1+arg2p6 == 0 /\ arg1p6 > 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p6, arg2'=arg2p6, arg3'=arg3p6, T, cost: 1 Second rule: f1_0_main_Load -> f181_0_main_LE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-1+arg2-arg1p1 == 0 /\ -1+arg2p1 > 0 /\ 1+arg2 > 0 /\ arg2-arg3p1 == 0 /\ -1+arg2p1-arg1 <= 0 /\ arg1 > 0), cost: 1 New rule: __init -> f181_0_main_LE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p6 > 0 /\ -1+arg2p1-arg1p6 <= 0 /\ -arg3p1+arg2p6 == 0 /\ -1+arg2p1 > 0 /\ -1-arg1p1+arg2p6 == 0 /\ arg1p6 > 0), cost: 1 Applied deletion Removed the following rules: 0 5 Simplified Transitions Start location: __init Program variables: arg1 arg2 arg3 2: f181_0_main_LE -> f168_0_visit_NULL : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg2 > 0 /\ -1+arg3 < 0 /\ arg1p3 > 0), cost: 1 3: f181_0_main_LE -> f168_0_visit_NULL : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-1+arg3 < 0 /\ -2+arg1p4 > 0 /\ -1+arg2 > 0 /\ -1-arg2+arg1p4 <= 0), cost: 1 7: f181_0_main_LE -> f181_0_main_LE : arg1'=-1+arg1, arg2'=arg2p2, arg3'=arg1, (arg3 > 0 /\ arg2 > 0 /\ -2+arg2p2-arg2 <= 0 /\ -2+arg2p2 > 0), cost: 1 4: f168_0_visit_NULL -> f168_0_visit_NULL : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (1+arg1p5 > 0 /\ arg1 > 0), cost: 1 8: __init -> f181_0_main_LE : arg1'=-1+arg2p6, arg2'=arg2p1, arg3'=arg2p6, (1+arg2p6 > 0 /\ -1+arg2p1 > 0), cost: 1 Propagated Equalities Original rule: f181_0_main_LE -> f181_0_main_LE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-1-arg1p2+arg1 == 0 /\ arg3 > 0 /\ arg2 > 0 /\ -arg3p2+arg1 == 0 /\ -2+arg2p2-arg2 <= 0 /\ -2+arg2p2 > 0), cost: 1 New rule: f181_0_main_LE -> f181_0_main_LE : arg1'=-1+arg1, arg2'=arg2p2, arg3'=arg1, (0 == 0 /\ arg3 > 0 /\ arg2 > 0 /\ -2+arg2p2-arg2 <= 0 /\ -2+arg2p2 > 0), cost: 1 propagated equality arg1p2 = -1+arg1 propagated equality arg3p2 = arg1 Simplified Guard Original rule: f181_0_main_LE -> f181_0_main_LE : arg1'=-1+arg1, arg2'=arg2p2, arg3'=arg1, (0 == 0 /\ arg3 > 0 /\ arg2 > 0 /\ -2+arg2p2-arg2 <= 0 /\ -2+arg2p2 > 0), cost: 1 New rule: f181_0_main_LE -> f181_0_main_LE : arg1'=-1+arg1, arg2'=arg2p2, arg3'=arg1, (arg3 > 0 /\ arg2 > 0 /\ -2+arg2p2-arg2 <= 0 /\ -2+arg2p2 > 0), cost: 1 Propagated Equalities Original rule: __init -> f181_0_main_LE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p6 > 0 /\ -1+arg2p1-arg1p6 <= 0 /\ -arg3p1+arg2p6 == 0 /\ -1+arg2p1 > 0 /\ -1-arg1p1+arg2p6 == 0 /\ arg1p6 > 0), cost: 1 New rule: __init -> f181_0_main_LE : arg1'=-1+arg2p6, arg2'=arg2p1, arg3'=arg2p6, (0 == 0 /\ 1+arg2p6 > 0 /\ -1+arg2p1-arg1p6 <= 0 /\ -1+arg2p1 > 0 /\ arg1p6 > 0), cost: 1 propagated equality arg3p1 = arg2p6 propagated equality arg1p1 = -1+arg2p6 Simplified Guard Original rule: __init -> f181_0_main_LE : arg1'=-1+arg2p6, arg2'=arg2p1, arg3'=arg2p6, (0 == 0 /\ 1+arg2p6 > 0 /\ -1+arg2p1-arg1p6 <= 0 /\ -1+arg2p1 > 0 /\ arg1p6 > 0), cost: 1 New rule: __init -> f181_0_main_LE : arg1'=-1+arg2p6, arg2'=arg2p1, arg3'=arg2p6, (1+arg2p6 > 0 /\ -1+arg2p1-arg1p6 <= 0 /\ -1+arg2p1 > 0 /\ arg1p6 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f181_0_main_LE : arg1'=-1+arg2p6, arg2'=arg2p1, arg3'=arg2p6, (1+arg2p6 > 0 /\ -1+arg2p1-arg1p6 <= 0 /\ -1+arg2p1 > 0 /\ arg1p6 > 0), cost: 1 New rule: __init -> f181_0_main_LE : arg1'=-1+arg2p6, arg2'=arg2p1, arg3'=arg2p6, (1+arg2p6 > 0 /\ -1+arg2p1 > 0), cost: 1 Step with 8 Trace 8[(1+arg2p6 > 0 /\ -1+arg2p1 > 0)] Blocked [{}, {}] Step with 2 Trace 8[(1+arg2p6 > 0 /\ -1+arg2p1 > 0)], 2[(arg2 > 0 /\ -1+arg3 < 0 /\ arg1p3 > 0)] Blocked [{}, {}, {}] Step with 4 Trace 8[(1+arg2p6 > 0 /\ -1+arg2p1 > 0)], 2[(arg2 > 0 /\ -1+arg3 < 0 /\ arg1p3 > 0)], 4[(1+arg1p5 > 0 /\ arg1 > 0)] Blocked [{}, {}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 arg3 2: f181_0_main_LE -> f168_0_visit_NULL : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (arg2 > 0 /\ -1+arg3 < 0 /\ arg1p3 > 0), cost: 1 3: f181_0_main_LE -> f168_0_visit_NULL : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-1+arg3 < 0 /\ -2+arg1p4 > 0 /\ -1+arg2 > 0 /\ -1-arg2+arg1p4 <= 0), cost: 1 7: f181_0_main_LE -> f181_0_main_LE : arg1'=-1+arg1, arg2'=arg2p2, arg3'=arg1, (arg3 > 0 /\ arg2 > 0 /\ -2+arg2p2-arg2 <= 0 /\ -2+arg2p2 > 0), cost: 1 4: f168_0_visit_NULL -> f168_0_visit_NULL : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (1+arg1p5 > 0 /\ arg1 > 0), cost: 1 9: f168_0_visit_NULL -> LoAT_sink : (-arg1p5+arg1 <= 0 /\ 1+arg1p5 > 0 /\ arg1 > 0), cost: NONTERM 8: __init -> f181_0_main_LE : arg1'=-1+arg2p6, arg2'=arg2p1, arg3'=arg2p6, (1+arg2p6 > 0 /\ -1+arg2p1 > 0), cost: 1 Certificate of Non-Termination Original rule: f168_0_visit_NULL -> f168_0_visit_NULL : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, (1+arg1p5 > 0 /\ arg1 > 0), cost: 1 New rule: f168_0_visit_NULL -> LoAT_sink : (-arg1p5+arg1 <= 0 /\ 1+arg1p5 > 0 /\ arg1 > 0), cost: NONTERM 1+arg1p5 > 0 [0]: monotonic increase yields 1+arg1p5 > 0 arg1 > 0 [0]: eventual decrease yields (arg1p5 > 0 /\ arg1 > 0) arg1 > 0 [1]: eventual increase yields (-arg1p5+arg1 <= 0 /\ arg1 > 0) Replacement map: {1+arg1p5 > 0 -> 1+arg1p5 > 0, arg1 > 0 -> (-arg1p5+arg1 <= 0 /\ arg1 > 0)} Step with 9 Trace 8[(1+arg2p6 > 0 /\ -1+arg2p1 > 0)], 2[(arg2 > 0 /\ -1+arg3 < 0 /\ arg1p3 > 0)], 9[(-arg1p5+arg1 <= 0 /\ 1+arg1p5 > 0 /\ arg1 > 0)] Blocked [{}, {}, {}, {9[T]}] Refute Counterexample [ arg1=-1 arg2=2 arg3=0 ] 8 [ arg1=1 arg2=0 arg3=0 ] 2 [ arg1=arg1 arg2=arg2 arg3=arg3 ] 9 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b