NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 1: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1p2, arg2'=arg2p2, (-2+arg1 > 0 /\ arg1-5*x5 == 0 /\ -arg1p2+arg1 == 0), cost: 1 3: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1p4, arg2'=arg2p4, (-arg1p4+arg1 == 0 /\ -2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 2: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1p3, arg2'=arg2p3, (-arg1p3+arg1 == 0 /\ -5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 4: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1p5, arg2'=arg2p5, (arg1-5*x11 > 0 /\ -5+arg1-5*x11 < 0 /\ -1-arg1p5+arg1 == 0 /\ -2+arg1 > 0), cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1p6, arg2'=arg2p6, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 1: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1p2, arg2'=arg2p2, (-2+arg1 > 0 /\ arg1-5*x5 == 0 /\ -arg1p2+arg1 == 0), cost: 1 3: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1p4, arg2'=arg2p4, (-arg1p4+arg1 == 0 /\ -2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 2: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1p3, arg2'=arg2p3, (-arg1p3+arg1 == 0 /\ -5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 4: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1p5, arg2'=arg2p5, (arg1-5*x11 > 0 /\ -5+arg1-5*x11 < 0 /\ -1-arg1p5+arg1 == 0 /\ -2+arg1 > 0), cost: 1 6: __init -> f49_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2p6 == 0 /\ 1+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, T, cost: 1 Second rule: f1_0_main_Load -> f49_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f49_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2p6 == 0 /\ 1+arg2p6 > 0 /\ arg1p6 > 0), cost: 1 Applied deletion Removed the following rules: 0 5 Simplified Transitions Start location: __init Program variables: arg1 arg2 7: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2p2, (-2+arg1 > 0 /\ arg1-5*x5 == 0), cost: 1 9: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2p4, (-2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 8: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2p3, (-5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 10: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p5, (arg1-5*x11 > 0 /\ -5+arg1-5*x11 < 0 /\ -2+arg1 > 0), cost: 1 11: __init -> f49_0_loop_LE : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0), cost: 1 Propagated Equalities Original rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1p2, arg2'=arg2p2, (-2+arg1 > 0 /\ arg1-5*x5 == 0 /\ -arg1p2+arg1 == 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1, arg2'=arg2p2, (0 == 0 /\ -2+arg1 > 0 /\ arg1-5*x5 == 0), cost: 1 propagated equality arg1p2 = arg1 Simplified Guard Original rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1, arg2'=arg2p2, (0 == 0 /\ -2+arg1 > 0 /\ arg1-5*x5 == 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1, arg2'=arg2p2, (-2+arg1 > 0 /\ arg1-5*x5 == 0), cost: 1 Removed Trivial Updates Original rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1, arg2'=arg2p2, (-2+arg1 > 0 /\ arg1-5*x5 == 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2p2, (-2+arg1 > 0 /\ arg1-5*x5 == 0), cost: 1 Propagated Equalities Original rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1p3, arg2'=arg2p3, (-arg1p3+arg1 == 0 /\ -5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 New rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1, arg2'=arg2p3, (0 == 0 /\ -5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 propagated equality arg1p3 = arg1 Simplified Guard Original rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1, arg2'=arg2p3, (0 == 0 /\ -5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 New rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1, arg2'=arg2p3, (-5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 Removed Trivial Updates Original rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1, arg2'=arg2p3, (-5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 New rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2p3, (-5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 Propagated Equalities Original rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1p4, arg2'=arg2p4, (-arg1p4+arg1 == 0 /\ -2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1, arg2'=arg2p4, (0 == 0 /\ -2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 propagated equality arg1p4 = arg1 Simplified Guard Original rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1, arg2'=arg2p4, (0 == 0 /\ -2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1, arg2'=arg2p4, (-2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 Removed Trivial Updates Original rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg1'=arg1, arg2'=arg2p4, (-2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 New rule: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2p4, (-2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 Propagated Equalities Original rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=arg1p5, arg2'=arg2p5, (arg1-5*x11 > 0 /\ -5+arg1-5*x11 < 0 /\ -1-arg1p5+arg1 == 0 /\ -2+arg1 > 0), cost: 1 New rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p5, (0 == 0 /\ arg1-5*x11 > 0 /\ -5+arg1-5*x11 < 0 /\ -2+arg1 > 0), cost: 1 propagated equality arg1p5 = -1+arg1 Simplified Guard Original rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p5, (0 == 0 /\ arg1-5*x11 > 0 /\ -5+arg1-5*x11 < 0 /\ -2+arg1 > 0), cost: 1 New rule: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p5, (arg1-5*x11 > 0 /\ -5+arg1-5*x11 < 0 /\ -2+arg1 > 0), cost: 1 Propagated Equalities Original rule: __init -> f49_0_loop_LE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2p6 == 0 /\ 1+arg2p6 > 0 /\ arg1p6 > 0), cost: 1 New rule: __init -> f49_0_loop_LE : arg1'=arg2p6, arg2'=arg2p1, (0 == 0 /\ 1+arg2p6 > 0 /\ arg1p6 > 0), cost: 1 propagated equality arg1p1 = arg2p6 Simplified Guard Original rule: __init -> f49_0_loop_LE : arg1'=arg2p6, arg2'=arg2p1, (0 == 0 /\ 1+arg2p6 > 0 /\ arg1p6 > 0), cost: 1 New rule: __init -> f49_0_loop_LE : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0 /\ arg1p6 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f49_0_loop_LE : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0 /\ arg1p6 > 0), cost: 1 New rule: __init -> f49_0_loop_LE : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0), cost: 1 Step with 11 Trace 11[(1+arg2p6 > 0)] Blocked [{}, {}] Step with 7 Trace 11[(1+arg2p6 > 0)], 7[(-2+arg1 > 0 /\ arg1-5*x5 == 0)] Blocked [{}, {}, {}] Step with 8 Trace 11[(1+arg2p6 > 0)], 7[(-2+arg1 > 0 /\ arg1-5*x5 == 0)], 8[(-5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0)] Blocked [{}, {}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 7: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2p2, (-2+arg1 > 0 /\ arg1-5*x5 == 0), cost: 1 9: f49_0_loop_LE -> f49_0_loop_LE\' : arg2'=arg2p4, (-2+arg1 > 0 /\ arg1-5*x9 > 0), cost: 1 12: f49_0_loop_LE -> LoAT_sink : (5-arg1+5*x7 > 0 /\ -1+n >= 0 /\ -2+arg1 > 0 /\ -5*x51+arg1 >= 0 /\ -arg1+5*x7 >= 0 /\ 5*x51-arg1 >= 0 /\ arg1-5*x7 >= 0), cost: NONTERM 8: f49_0_loop_LE\' -> f49_0_loop_LE : arg2'=arg2p3, (-5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 10: f49_0_loop_LE\' -> f49_0_loop_LE : arg1'=-1+arg1, arg2'=arg2p5, (arg1-5*x11 > 0 /\ -5+arg1-5*x11 < 0 /\ -2+arg1 > 0), cost: 1 11: __init -> f49_0_loop_LE : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0), cost: 1 Certificate of Non-Termination Original rule: f49_0_loop_LE -> f49_0_loop_LE : arg2'=arg2p3, (-5+arg1-5*x7 < 0 /\ -2+arg1 > 0 /\ -5*x51+arg1 == 0 /\ arg1-5*x7 >= 0 /\ arg1-5*x7 == 0), cost: 1 New rule: f49_0_loop_LE -> LoAT_sink : (5-arg1+5*x7 > 0 /\ -1+n >= 0 /\ -2+arg1 > 0 /\ -5*x51+arg1 >= 0 /\ -arg1+5*x7 >= 0 /\ 5*x51-arg1 >= 0 /\ arg1-5*x7 >= 0), cost: NONTERM 5-arg1+5*x7 > 0 [0]: monotonic increase yields 5-arg1+5*x7 > 0 -2+arg1 > 0 [0]: monotonic increase yields -2+arg1 > 0 -5*x51+arg1 >= 0 [0]: monotonic increase yields -5*x51+arg1 >= 0 -arg1+5*x7 >= 0 [0]: monotonic increase yields -arg1+5*x7 >= 0 5*x51-arg1 >= 0 [0]: monotonic increase yields 5*x51-arg1 >= 0 arg1-5*x7 >= 0 [0]: monotonic increase yields arg1-5*x7 >= 0 Replacement map: {5-arg1+5*x7 > 0 -> 5-arg1+5*x7 > 0, -2+arg1 > 0 -> -2+arg1 > 0, -5*x51+arg1 >= 0 -> -5*x51+arg1 >= 0, -arg1+5*x7 >= 0 -> -arg1+5*x7 >= 0, 5*x51-arg1 >= 0 -> 5*x51-arg1 >= 0, arg1-5*x7 >= 0 -> arg1-5*x7 >= 0} Step with 12 Trace 11[(1+arg2p6 > 0)], 12[(5-arg1+5*x7 > 0 /\ -1+n >= 0 /\ -2+arg1 > 0 /\ -5*x51+arg1 >= 0 /\ -arg1+5*x7 >= 0 /\ 5*x51-arg1 >= 0 /\ arg1-5*x7 >= 0)] Blocked [{}, {}, {12[T]}] Refute Counterexample [ arg1=5 arg2=0 ] 11 [ arg1=arg1 arg2=arg2 ] 12 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b