NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1p1, arg2'=arg2p1, (-arg2p1+arg2 == 0 /\ 1+x8 > 0 /\ -arg1p1+arg1 == 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 1: f1_0_main_Load\' -> f128_0_loop_GE : arg1'=arg1p2, arg2'=arg2p2, (x13-2*x14 >= 0 /\ x13-2*x14 == 0 /\ -2+x13-2*x14 < 0 /\ 1+x12 > 0 /\ -x12-arg1p2 == 0 /\ arg1 > 0 /\ 1+x13 > 0 /\ -1+arg2 > 0), cost: 1 2: f128_0_loop_GE -> f128_0_loop_GE : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3+arg1 == 0 /\ arg1 < 0), cost: 1 3: __init -> f1_0_main_Load : arg1'=arg1p4, arg2'=arg2p4, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 2: f128_0_loop_GE -> f128_0_loop_GE : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3+arg1 == 0 /\ arg1 < 0), cost: 1 5: __init -> f128_0_loop_GE : arg1'=arg1p2, arg2'=arg2p2, (arg1p4 > 0 /\ arg1p4-arg1p1 == 0 /\ x13-2*x14 >= 0 /\ x13-2*x14 == 0 /\ arg1p1 > 0 /\ -2+x13-2*x14 < 0 /\ 1+x12 > 0 /\ 1+x8 > 0 /\ -x12-arg1p2 == 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0 /\ arg2p4-arg2p1 == 0 /\ -1+arg2p1 > 0 /\ 1+x13 > 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p4, arg2'=arg2p4, T, cost: 1 Second rule: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1p1, arg2'=arg2p1, (-arg2p1+arg2 == 0 /\ 1+x8 > 0 /\ -arg1p1+arg1 == 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ arg1 > 0 /\ -1+arg2 > 0), cost: 1 New rule: __init -> f1_0_main_Load\' : arg1'=arg1p1, arg2'=arg2p1, (arg1p4 > 0 /\ arg1p4-arg1p1 == 0 /\ 1+x8 > 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0 /\ arg2p4-arg2p1 == 0), cost: 1 Applied deletion Removed the following rules: 0 3 Eliminating location f1_0_main_Load\' by chaining: Applied chaining First rule: __init -> f1_0_main_Load\' : arg1'=arg1p1, arg2'=arg2p1, (arg1p4 > 0 /\ arg1p4-arg1p1 == 0 /\ 1+x8 > 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0 /\ arg2p4-arg2p1 == 0), cost: 1 Second rule: f1_0_main_Load\' -> f128_0_loop_GE : arg1'=arg1p2, arg2'=arg2p2, (x13-2*x14 >= 0 /\ x13-2*x14 == 0 /\ -2+x13-2*x14 < 0 /\ 1+x12 > 0 /\ -x12-arg1p2 == 0 /\ arg1 > 0 /\ 1+x13 > 0 /\ -1+arg2 > 0), cost: 1 New rule: __init -> f128_0_loop_GE : arg1'=arg1p2, arg2'=arg2p2, (arg1p4 > 0 /\ arg1p4-arg1p1 == 0 /\ x13-2*x14 >= 0 /\ x13-2*x14 == 0 /\ arg1p1 > 0 /\ -2+x13-2*x14 < 0 /\ 1+x12 > 0 /\ 1+x8 > 0 /\ -x12-arg1p2 == 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0 /\ arg2p4-arg2p1 == 0 /\ -1+arg2p1 > 0 /\ 1+x13 > 0), cost: 1 Applied deletion Removed the following rules: 1 4 Simplified Transitions Start location: __init Program variables: arg1 arg2 6: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2p3, arg1 < 0, cost: 1 7: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0), cost: 1 Propagated Equalities Original rule: f128_0_loop_GE -> f128_0_loop_GE : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3+arg1 == 0 /\ arg1 < 0), cost: 1 New rule: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2p3, (0 == 0 /\ arg1 < 0), cost: 1 propagated equality arg1p3 = -1+arg1 Simplified Guard Original rule: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2p3, (0 == 0 /\ arg1 < 0), cost: 1 New rule: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2p3, arg1 < 0, cost: 1 Propagated Equalities Original rule: __init -> f128_0_loop_GE : arg1'=arg1p2, arg2'=arg2p2, (arg1p4 > 0 /\ arg1p4-arg1p1 == 0 /\ x13-2*x14 >= 0 /\ x13-2*x14 == 0 /\ arg1p1 > 0 /\ -2+x13-2*x14 < 0 /\ 1+x12 > 0 /\ 1+x8 > 0 /\ -x12-arg1p2 == 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0 /\ arg2p4-arg2p1 == 0 /\ -1+arg2p1 > 0 /\ 1+x13 > 0), cost: 1 New rule: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (0 == 0 /\ arg1p4 > 0 /\ arg1p4-arg1p1 == 0 /\ x13-2*x14 >= 0 /\ x13-2*x14 == 0 /\ arg1p1 > 0 /\ -2+x13-2*x14 < 0 /\ 1+x12 > 0 /\ 1+x8 > 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0 /\ arg2p4-arg2p1 == 0 /\ -1+arg2p1 > 0 /\ 1+x13 > 0), cost: 1 propagated equality arg1p2 = -x12 Propagated Equalities Original rule: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (0 == 0 /\ arg1p4 > 0 /\ arg1p4-arg1p1 == 0 /\ x13-2*x14 >= 0 /\ x13-2*x14 == 0 /\ arg1p1 > 0 /\ -2+x13-2*x14 < 0 /\ 1+x12 > 0 /\ 1+x8 > 0 /\ x8-2*x9 == 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0 /\ arg2p4-arg2p1 == 0 /\ -1+arg2p1 > 0 /\ 1+x13 > 0), cost: 1 New rule: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (0 >= 0 /\ 0 == 0 /\ arg1p4 > 0 /\ -2 < 0 /\ 1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0), cost: 1 propagated equality arg1p1 = arg1p4 propagated equality x13 = 2*x14 propagated equality x8 = 2*x9 propagated equality arg2p1 = arg2p4 Simplified Guard Original rule: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (0 >= 0 /\ 0 == 0 /\ arg1p4 > 0 /\ -2 < 0 /\ 1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0), cost: 1 New rule: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (arg1p4 > 0 /\ 1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (arg1p4 > 0 /\ 1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0 /\ 1+x7 > 0 /\ -1+arg2p4 > 0), cost: 1 New rule: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0), cost: 1 Step with 7 Trace 7[(1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0)] Blocked [{}, {}] Step with 6 Trace 7[(1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0)], 6[(arg1 < 0)] Blocked [{}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 6: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2p3, arg1 < 0, cost: 1 8: f128_0_loop_GE -> LoAT_sink : (-arg1 > 0 /\ -1+n >= 0), cost: NONTERM 9: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-n+arg1, arg2'=arg2p3, (-arg1 > 0 /\ -1+n >= 0), cost: 1 7: __init -> f128_0_loop_GE : arg1'=-x12, arg2'=arg2p2, (1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0), cost: 1 Certificate of Non-Termination Original rule: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2p3, (arg1 < 0), cost: 1 New rule: f128_0_loop_GE -> LoAT_sink : (-arg1 > 0 /\ -1+n >= 0), cost: NONTERM -arg1 > 0 [0]: monotonic increase yields -arg1 > 0 Replacement map: {-arg1 > 0 -> -arg1 > 0} Loop Acceleration Original rule: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-1+arg1, arg2'=arg2p3, (arg1 < 0), cost: 1 New rule: f128_0_loop_GE -> f128_0_loop_GE : arg1'=-n+arg1, arg2'=arg2p3, (-arg1 > 0 /\ -1+n >= 0), cost: 1 -arg1 > 0 [0]: monotonic increase yields -arg1 > 0 Replacement map: {-arg1 > 0 -> -arg1 > 0} Step with 8 Trace 7[(1+x12 > 0 /\ 1+2*x14 > 0 /\ 1+2*x9 > 0)], 8[(-arg1 > 0 /\ -1+n >= 0)] Blocked [{}, {}, {8[T]}] Refute Counterexample [ arg1=-1 arg2=0 ] 7 [ arg1=arg1 arg2=arg2 ] 8 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b