NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 1: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1p2, arg2'=arg2p2, (-10+arg1 < 0 /\ arg1-arg1p2 == 0), cost: 1 2: f32_0_increase_GE -> f32_0_increase_GE : arg1'=arg1p3, arg2'=arg2p3, (-arg1 == 0 /\ 1-arg1p3 == 0), cost: 1 3: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1p4, arg2'=arg2p4, (1 > 0 /\ 1-arg1p4+arg1 == 0 /\ arg1 > 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1p5, arg2'=arg2p5, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 1: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1p2, arg2'=arg2p2, (-10+arg1 < 0 /\ arg1-arg1p2 == 0), cost: 1 2: f32_0_increase_GE -> f32_0_increase_GE : arg1'=arg1p3, arg2'=arg2p3, (-arg1 == 0 /\ 1-arg1p3 == 0), cost: 1 3: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1p4, arg2'=arg2p4, (1 > 0 /\ 1-arg1p4+arg1 == 0 /\ arg1 > 0), cost: 1 5: __init -> f32_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, (arg2p5-arg1p1 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p5, arg2'=arg2p5, T, cost: 1 Second rule: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f32_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, (arg2p5-arg1p1 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 Applied deletion Removed the following rules: 0 4 Simplified Transitions Start location: __init Program variables: arg1 arg2 6: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2p2, -10+arg1 < 0, cost: 1 7: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2p3, -arg1 == 0, cost: 1 8: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2p4, arg1 > 0, cost: 1 9: __init -> f32_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, (1+arg2p5 > 0), cost: 1 Propagated Equalities Original rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1p2, arg2'=arg2p2, (-10+arg1 < 0 /\ arg1-arg1p2 == 0), cost: 1 New rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1, arg2'=arg2p2, (0 == 0 /\ -10+arg1 < 0), cost: 1 propagated equality arg1p2 = arg1 Simplified Guard Original rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1, arg2'=arg2p2, (0 == 0 /\ -10+arg1 < 0), cost: 1 New rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1, arg2'=arg2p2, -10+arg1 < 0, cost: 1 Removed Trivial Updates Original rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1, arg2'=arg2p2, -10+arg1 < 0, cost: 1 New rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2p2, -10+arg1 < 0, cost: 1 Propagated Equalities Original rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=arg1p3, arg2'=arg2p3, (-arg1 == 0 /\ 1-arg1p3 == 0), cost: 1 New rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2p3, (0 == 0 /\ -arg1 == 0), cost: 1 propagated equality arg1p3 = 1 Simplified Guard Original rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2p3, (0 == 0 /\ -arg1 == 0), cost: 1 New rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2p3, -arg1 == 0, cost: 1 Propagated Equalities Original rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1p4, arg2'=arg2p4, (1 > 0 /\ 1-arg1p4+arg1 == 0 /\ arg1 > 0), cost: 1 New rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2p4, (0 == 0 /\ 1 > 0 /\ arg1 > 0), cost: 1 propagated equality arg1p4 = 1+arg1 Simplified Guard Original rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2p4, (0 == 0 /\ 1 > 0 /\ arg1 > 0), cost: 1 New rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2p4, arg1 > 0, cost: 1 Propagated Equalities Original rule: __init -> f32_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, (arg2p5-arg1p1 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 New rule: __init -> f32_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, (0 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 propagated equality arg1p1 = arg2p5 Simplified Guard Original rule: __init -> f32_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, (0 == 0 /\ arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 New rule: __init -> f32_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, (arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f32_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, (arg1p5 > 0 /\ 1+arg2p5 > 0), cost: 1 New rule: __init -> f32_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, (1+arg2p5 > 0), cost: 1 Step with 9 Trace 9[(1+arg2p5 > 0)] Blocked [{}, {}] Step with 6 Trace 9[(1+arg2p5 > 0)], 6[(-10+arg1 < 0)] Blocked [{}, {}, {}] Step with 8 Trace 9[(1+arg2p5 > 0)], 6[(-10+arg1 < 0)], 8[(arg1 > 0)] Blocked [{}, {}, {}, {}] Nonterm Start location: __init Program variables: arg1 arg2 6: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2p2, -10+arg1 < 0, cost: 1 7: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2p3, -arg1 == 0, cost: 1 8: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2p4, arg1 > 0, cost: 1 10: f91_0_increase_aux_LE -> LoAT_sink : (arg1 > 0 /\ -1+n >= 0), cost: NONTERM 11: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1+n, arg2'=arg2p4, (arg1 > 0 /\ -1+n >= 0), cost: 1 9: __init -> f32_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, (1+arg2p5 > 0), cost: 1 Certificate of Non-Termination Original rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2p4, (arg1 > 0), cost: 1 New rule: f91_0_increase_aux_LE -> 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: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2p4, (arg1 > 0), cost: 1 New rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1+n, arg2'=arg2p4, (arg1 > 0 /\ -1+n >= 0), cost: 1 arg1 > 0 [0]: monotonic increase yields arg1 > 0 Replacement map: {arg1 > 0 -> arg1 > 0} Step with 10 Trace 9[(1+arg2p5 > 0)], 6[(-10+arg1 < 0)], 10[(arg1 > 0 /\ -1+n >= 0)] Blocked [{}, {}, {}, {10[T]}] Refute Counterexample [ arg1=1 arg2=0 ] 9 [ arg1=1 arg2=0 ] 6 [ arg1=arg1 arg2=arg2 ] 10 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b