NO Initial ITS Start location: __init Program variables: arg1 arg2 arg3 0: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg3p1+arg3 == 0 /\ arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ -1-arg2p1+arg2 == 0 /\ arg1 > 0), cost: 1 1: f1_0_main_Load -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-1-arg2p2+arg2 == 0 /\ 1+arg2 > 0 /\ arg2-arg3p2 == 0 /\ arg1p2-arg1 <= 0 /\ arg1p2 > 0 /\ arg1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 arg3 0: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg3p1+arg3 == 0 /\ arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ -1-arg2p1+arg2 == 0 /\ arg1 > 0), cost: 1 3: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-1-arg2p2+arg2p3 == 0 /\ arg1p2 > 0 /\ arg2p3-arg3p2 == 0 /\ arg1p3 > 0 /\ arg1p2-arg1p3 <= 0 /\ 1+arg2p3 > 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, T, cost: 1 Second rule: f1_0_main_Load -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-1-arg2p2+arg2 == 0 /\ 1+arg2 > 0 /\ arg2-arg3p2 == 0 /\ arg1p2-arg1 <= 0 /\ arg1p2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-1-arg2p2+arg2p3 == 0 /\ arg1p2 > 0 /\ arg2p3-arg3p2 == 0 /\ arg1p3 > 0 /\ arg1p2-arg1p3 <= 0 /\ 1+arg2p3 > 0), cost: 1 Applied deletion Removed the following rules: 1 2 Simplified Transitions Start location: __init Program variables: arg1 arg2 arg3 4: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, (arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 5: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=-1+arg2p3, arg3'=arg2p3, (arg1p2 > 0 /\ 1+arg2p3 > 0), cost: 1 Propagated Equalities Original rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg3p1+arg3 == 0 /\ arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ -1-arg2p1+arg2 == 0 /\ arg1 > 0), cost: 1 New rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, arg3'=arg3, (0 == 0 /\ arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 propagated equality arg3p1 = arg3 propagated equality arg2p1 = -1+arg2 Simplified Guard Original rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, arg3'=arg3, (0 == 0 /\ arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 New rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, arg3'=arg3, (arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 Removed Trivial Updates Original rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, arg3'=arg3, (arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 New rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, (arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 Propagated Equalities Original rule: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-1-arg2p2+arg2p3 == 0 /\ arg1p2 > 0 /\ arg2p3-arg3p2 == 0 /\ arg1p3 > 0 /\ arg1p2-arg1p3 <= 0 /\ 1+arg2p3 > 0), cost: 1 New rule: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=-1+arg2p3, arg3'=arg2p3, (0 == 0 /\ arg1p2 > 0 /\ arg1p3 > 0 /\ arg1p2-arg1p3 <= 0 /\ 1+arg2p3 > 0), cost: 1 propagated equality arg2p2 = -1+arg2p3 propagated equality arg3p2 = arg2p3 Simplified Guard Original rule: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=-1+arg2p3, arg3'=arg2p3, (0 == 0 /\ arg1p2 > 0 /\ arg1p3 > 0 /\ arg1p2-arg1p3 <= 0 /\ 1+arg2p3 > 0), cost: 1 New rule: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=-1+arg2p3, arg3'=arg2p3, (arg1p2 > 0 /\ arg1p3 > 0 /\ arg1p2-arg1p3 <= 0 /\ 1+arg2p3 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=-1+arg2p3, arg3'=arg2p3, (arg1p2 > 0 /\ arg1p3 > 0 /\ arg1p2-arg1p3 <= 0 /\ 1+arg2p3 > 0), cost: 1 New rule: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=-1+arg2p3, arg3'=arg2p3, (arg1p2 > 0 /\ 1+arg2p3 > 0), cost: 1 Step with 5 Trace 5[(arg1p2 > 0 /\ 1+arg2p3 > 0)] Blocked [{}, {}] Step with 4 Trace 5[(arg1p2 > 0 /\ 1+arg2p3 > 0)], 4[(arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0)] Blocked [{}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 arg3 4: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, (arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 6: f40_0_loop_Inc -> LoAT_sink : (-arg1p1+arg1 <= 0 /\ -arg1p1+arg1 >= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: NONTERM 7: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=arg2-n, (-arg1p1+arg1 >= 0 /\ arg1p1 > 0 /\ -1+n >= 0), cost: 1 5: __init -> f40_0_loop_Inc : arg1'=arg1p2, arg2'=-1+arg2p3, arg3'=arg2p3, (arg1p2 > 0 /\ 1+arg2p3 > 0), cost: 1 Certificate of Non-Termination Original rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, (arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 New rule: f40_0_loop_Inc -> LoAT_sink : (-arg1p1+arg1 <= 0 /\ -arg1p1+arg1 >= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: NONTERM -arg1p1+arg1 >= 0 [0]: monotonic increase yields -arg1p1+arg1 >= 0 arg1p1 > 0 [0]: monotonic increase yields arg1p1 > 0 arg1 > 0 [0]: montonic decrease yields arg1p1 > 0, dependencies: -arg1p1+arg1 >= 0 arg1 > 0 [1]: eventual increase yields (-arg1p1+arg1 <= 0 /\ arg1 > 0) Replacement map: {-arg1p1+arg1 >= 0 -> -arg1p1+arg1 >= 0, arg1p1 > 0 -> arg1p1 > 0, arg1 > 0 -> (-arg1p1+arg1 <= 0 /\ arg1 > 0)} Loop Acceleration Original rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=-1+arg2, (arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 New rule: f40_0_loop_Inc -> f40_0_loop_Inc : arg1'=arg1p1, arg2'=arg2-n, (-arg1p1+arg1 >= 0 /\ arg1p1 > 0 /\ -1+n >= 0), cost: 1 -arg1p1+arg1 >= 0 [0]: monotonic increase yields -arg1p1+arg1 >= 0 arg1p1 > 0 [0]: monotonic increase yields arg1p1 > 0 arg1 > 0 [0]: montonic decrease yields arg1p1 > 0, dependencies: -arg1p1+arg1 >= 0 arg1 > 0 [1]: eventual increase yields (-arg1p1+arg1 <= 0 /\ arg1 > 0) Replacement map: {-arg1p1+arg1 >= 0 -> -arg1p1+arg1 >= 0, arg1p1 > 0 -> arg1p1 > 0, arg1 > 0 -> arg1p1 > 0} Step with 6 Trace 5[(arg1p2 > 0 /\ 1+arg2p3 > 0)], 6[(-arg1p1+arg1 <= 0 /\ -arg1p1+arg1 >= 0 /\ arg1p1 > 0 /\ arg1 > 0)] Blocked [{}, {}, {6[T]}] Refute Counterexample [ arg1=1 arg2=-1 arg3=0 ] 5 [ arg1=arg1 arg2=arg2 arg3=arg3 ] 6 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b