NO Initial ITS Start location: __init Program variables: arg1 arg2 arg3 0: f1_0_main_ConstantStackPush -> f61_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg2p1 == 0 /\ 1+arg2 > 0 /\ arg2-arg3p1 == 0 /\ arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 1: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg1p2 > 0 /\ arg3-arg3p2 == 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg2-arg2p2+x7 == 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 arg3 1: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg1p2 > 0 /\ arg3-arg3p2 == 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg2-arg2p2+x7 == 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 3: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p3 > 0 /\ arg1p3 > 0 /\ arg2p3-arg3p1 == 0 /\ -arg2p1 == 0 /\ arg1p1 > 0 /\ -arg1p3+arg1p1 <= 0), cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, T, cost: 1 Second rule: f1_0_main_ConstantStackPush -> f61_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (-arg2p1 == 0 /\ 1+arg2 > 0 /\ arg2-arg3p1 == 0 /\ arg1p1-arg1 <= 0 /\ arg1p1 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p3 > 0 /\ arg1p3 > 0 /\ arg2p3-arg3p1 == 0 /\ -arg2p1 == 0 /\ arg1p1 > 0 /\ -arg1p3+arg1p1 <= 0), cost: 1 Applied deletion Removed the following rules: 0 2 Simplified Transitions Start location: __init Program variables: arg1 arg2 arg3 4: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 5: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=0, arg3'=arg2p3, (1+arg2p3 > 0 /\ arg1p1 > 0), cost: 1 Propagated Equalities Original rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (arg1p2 > 0 /\ arg3-arg3p2 == 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg2-arg2p2+x7 == 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 New rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, arg3'=arg3, (0 == 0 /\ arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 propagated equality arg3p2 = arg3 propagated equality arg2p2 = arg2+x7 Simplified Guard Original rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, arg3'=arg3, (0 == 0 /\ arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 New rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, arg3'=arg3, (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 Removed Trivial Updates Original rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, arg3'=arg3, (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 New rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 Propagated Equalities Original rule: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p3 > 0 /\ arg1p3 > 0 /\ arg2p3-arg3p1 == 0 /\ -arg2p1 == 0 /\ arg1p1 > 0 /\ -arg1p3+arg1p1 <= 0), cost: 1 New rule: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=0, arg3'=arg2p3, (0 == 0 /\ 1+arg2p3 > 0 /\ arg1p3 > 0 /\ arg1p1 > 0 /\ -arg1p3+arg1p1 <= 0), cost: 1 propagated equality arg3p1 = arg2p3 propagated equality arg2p1 = 0 Simplified Guard Original rule: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=0, arg3'=arg2p3, (0 == 0 /\ 1+arg2p3 > 0 /\ arg1p3 > 0 /\ arg1p1 > 0 /\ -arg1p3+arg1p1 <= 0), cost: 1 New rule: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=0, arg3'=arg2p3, (1+arg2p3 > 0 /\ arg1p3 > 0 /\ arg1p1 > 0 /\ -arg1p3+arg1p1 <= 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=0, arg3'=arg2p3, (1+arg2p3 > 0 /\ arg1p3 > 0 /\ arg1p1 > 0 /\ -arg1p3+arg1p1 <= 0), cost: 1 New rule: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=0, arg3'=arg2p3, (1+arg2p3 > 0 /\ arg1p1 > 0), cost: 1 Step with 5 Trace 5[(1+arg2p3 > 0 /\ arg1p1 > 0)] Blocked [{}, {}] Step with 4 Trace 5[(1+arg2p3 > 0 /\ arg1p1 > 0)], 4[(arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0)] Blocked [{}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 arg3 4: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 6: f61_0_main_GE -> LoAT_sink : (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ -arg1p2+arg1 <= 0 /\ -arg1p2+arg1 >= 0 /\ x7 <= 0 /\ arg1 > 0), cost: NONTERM 7: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+n*x7, (arg1p2 > 0 /\ arg3-arg2-(-1+n)*x7 > 0 /\ -1+n >= 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ -arg1p2+arg1 >= 0), cost: 1 5: __init -> f61_0_main_GE : arg1'=arg1p1, arg2'=0, arg3'=arg2p3, (1+arg2p3 > 0 /\ arg1p1 > 0), cost: 1 Certificate of Non-Termination Original rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 New rule: f61_0_main_GE -> LoAT_sink : (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ -arg1p2+arg1 <= 0 /\ -arg1p2+arg1 >= 0 /\ x7 <= 0 /\ arg1 > 0), cost: NONTERM arg1p2 > 0 [0]: monotonic increase yields arg1p2 > 0 arg3-arg2 > 0 [0]: montonic decrease yields arg3-arg2-(-1+n)*x7 > 0, dependencies: 1+x7 > 0 arg3-arg2 > 0 [1]: eventual decrease yields (arg3-arg2-(-1+n)*x7 > 0 /\ arg3-arg2 > 0), dependencies: 1+x7 > 0 arg3-arg2 > 0 [2]: eventual increase yields (arg3-arg2 > 0 /\ x7 <= 0) 1+x7 > 0 [0]: monotonic increase yields 1+x7 > 0 1+arg2 > 0 [0]: monotonic increase yields 1+arg2 > 0, dependencies: 1+x7 > 0 -arg1p2+arg1 >= 0 [0]: monotonic increase yields -arg1p2+arg1 >= 0 arg1 > 0 [0]: montonic decrease yields arg1p2 > 0, dependencies: -arg1p2+arg1 >= 0 arg1 > 0 [1]: eventual increase yields (-arg1p2+arg1 <= 0 /\ arg1 > 0) Replacement map: {arg1p2 > 0 -> arg1p2 > 0, arg3-arg2 > 0 -> (arg3-arg2 > 0 /\ x7 <= 0), 1+x7 > 0 -> 1+x7 > 0, 1+arg2 > 0 -> 1+arg2 > 0, -arg1p2+arg1 >= 0 -> -arg1p2+arg1 >= 0, arg1 > 0 -> (-arg1p2+arg1 <= 0 /\ arg1 > 0)} Loop Acceleration Original rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+x7, (arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ arg1p2-arg1 <= 0 /\ arg1 > 0), cost: 1 New rule: f61_0_main_GE -> f61_0_main_GE : arg1'=arg1p2, arg2'=arg2+n*x7, (arg1p2 > 0 /\ arg3-arg2-(-1+n)*x7 > 0 /\ -1+n >= 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ -arg1p2+arg1 >= 0), cost: 1 arg1p2 > 0 [0]: monotonic increase yields arg1p2 > 0 arg3-arg2 > 0 [0]: montonic decrease yields arg3-arg2-(-1+n)*x7 > 0, dependencies: 1+x7 > 0 arg3-arg2 > 0 [1]: eventual decrease yields (arg3-arg2-(-1+n)*x7 > 0 /\ arg3-arg2 > 0), dependencies: 1+x7 > 0 arg3-arg2 > 0 [2]: eventual increase yields (arg3-arg2 > 0 /\ x7 <= 0) 1+x7 > 0 [0]: monotonic increase yields 1+x7 > 0 1+arg2 > 0 [0]: monotonic increase yields 1+arg2 > 0, dependencies: 1+x7 > 0 -arg1p2+arg1 >= 0 [0]: monotonic increase yields -arg1p2+arg1 >= 0 arg1 > 0 [0]: montonic decrease yields arg1p2 > 0, dependencies: -arg1p2+arg1 >= 0 arg1 > 0 [1]: eventual increase yields (-arg1p2+arg1 <= 0 /\ arg1 > 0) Replacement map: {arg1p2 > 0 -> arg1p2 > 0, arg3-arg2 > 0 -> arg3-arg2-(-1+n)*x7 > 0, 1+x7 > 0 -> 1+x7 > 0, 1+arg2 > 0 -> 1+arg2 > 0, -arg1p2+arg1 >= 0 -> -arg1p2+arg1 >= 0, arg1 > 0 -> arg1p2 > 0} Step with 6 Trace 5[(1+arg2p3 > 0 /\ arg1p1 > 0)], 6[(arg1p2 > 0 /\ arg3-arg2 > 0 /\ 1+x7 > 0 /\ 1+arg2 > 0 /\ -arg1p2+arg1 <= 0 /\ -arg1p2+arg1 >= 0 /\ x7 <= 0 /\ arg1 > 0)] Blocked [{}, {}, {6[T]}] Refute Counterexample [ arg1=1 arg2=0 arg3=1 ] 5 [ arg1=arg1 arg2=arg2 arg3=arg3 ] 6 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b