NO Initial ITS Start location: __init Program variables: arg1 arg2 arg3 0: f1_0_main_Load -> f50_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2 > 0 /\ -arg1p1+arg2 == 0 /\ arg1 > 0), cost: 1 1: f50_0_increase_GE -> f79_0_increase_LE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-arg2p2+arg1 == 0 /\ -10+arg1 < 0 /\ arg1-arg1p2 == 0 /\ -arg3p2+arg1 == 0), cost: 1 2: f79_0_increase_LE -> f50_0_increase_GE : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (1+arg1-arg1p3 == 0 /\ -arg3 == 0 /\ -arg2 == 0), cost: 1 3: f79_0_increase_LE -> f79_0_increase_LE : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-arg3+arg2 == 0 /\ 1-arg3p4+arg2 == 0 /\ arg1-arg1p4 == 0 /\ 1-arg2p4+arg2 == 0 /\ arg2 > 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 arg3 1: f50_0_increase_GE -> f79_0_increase_LE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-arg2p2+arg1 == 0 /\ -10+arg1 < 0 /\ arg1-arg1p2 == 0 /\ -arg3p2+arg1 == 0), cost: 1 2: f79_0_increase_LE -> f50_0_increase_GE : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (1+arg1-arg1p3 == 0 /\ -arg3 == 0 /\ -arg2 == 0), cost: 1 3: f79_0_increase_LE -> f79_0_increase_LE : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-arg3+arg2 == 0 /\ 1-arg3p4+arg2 == 0 /\ arg1-arg1p4 == 0 /\ 1-arg2p4+arg2 == 0 /\ arg2 > 0), cost: 1 5: __init -> f50_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p5 > 0 /\ -arg1p1+arg2p5 == 0 /\ arg1p5 > 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p5, arg2'=arg2p5, arg3'=arg3p5, T, cost: 1 Second rule: f1_0_main_Load -> f50_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2 > 0 /\ -arg1p1+arg2 == 0 /\ arg1 > 0), cost: 1 New rule: __init -> f50_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p5 > 0 /\ -arg1p1+arg2p5 == 0 /\ arg1p5 > 0), cost: 1 Applied deletion Removed the following rules: 0 4 Simplified Transitions Start location: __init Program variables: arg1 arg2 arg3 6: f50_0_increase_GE -> f79_0_increase_LE : arg2'=arg1, arg3'=arg1, -10+arg1 < 0, cost: 1 7: f79_0_increase_LE -> f50_0_increase_GE : arg1'=1+arg1, arg2'=arg2p3, arg3'=arg3p3, (-arg3 == 0 /\ -arg2 == 0), cost: 1 8: f79_0_increase_LE -> f79_0_increase_LE : arg2'=1+arg2, arg3'=1+arg2, (-arg3+arg2 == 0 /\ arg2 > 0), cost: 1 9: __init -> f50_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p5 > 0), cost: 1 Propagated Equalities Original rule: f50_0_increase_GE -> f79_0_increase_LE : arg1'=arg1p2, arg2'=arg2p2, arg3'=arg3p2, (-arg2p2+arg1 == 0 /\ -10+arg1 < 0 /\ arg1-arg1p2 == 0 /\ -arg3p2+arg1 == 0), cost: 1 New rule: f50_0_increase_GE -> f79_0_increase_LE : arg1'=arg1, arg2'=arg1, arg3'=arg1, (0 == 0 /\ -10+arg1 < 0), cost: 1 propagated equality arg2p2 = arg1 propagated equality arg1p2 = arg1 propagated equality arg3p2 = arg1 Simplified Guard Original rule: f50_0_increase_GE -> f79_0_increase_LE : arg1'=arg1, arg2'=arg1, arg3'=arg1, (0 == 0 /\ -10+arg1 < 0), cost: 1 New rule: f50_0_increase_GE -> f79_0_increase_LE : arg1'=arg1, arg2'=arg1, arg3'=arg1, -10+arg1 < 0, cost: 1 Removed Trivial Updates Original rule: f50_0_increase_GE -> f79_0_increase_LE : arg1'=arg1, arg2'=arg1, arg3'=arg1, -10+arg1 < 0, cost: 1 New rule: f50_0_increase_GE -> f79_0_increase_LE : arg2'=arg1, arg3'=arg1, -10+arg1 < 0, cost: 1 Propagated Equalities Original rule: f79_0_increase_LE -> f50_0_increase_GE : arg1'=arg1p3, arg2'=arg2p3, arg3'=arg3p3, (1+arg1-arg1p3 == 0 /\ -arg3 == 0 /\ -arg2 == 0), cost: 1 New rule: f79_0_increase_LE -> f50_0_increase_GE : arg1'=1+arg1, arg2'=arg2p3, arg3'=arg3p3, (0 == 0 /\ -arg3 == 0 /\ -arg2 == 0), cost: 1 propagated equality arg1p3 = 1+arg1 Simplified Guard Original rule: f79_0_increase_LE -> f50_0_increase_GE : arg1'=1+arg1, arg2'=arg2p3, arg3'=arg3p3, (0 == 0 /\ -arg3 == 0 /\ -arg2 == 0), cost: 1 New rule: f79_0_increase_LE -> f50_0_increase_GE : arg1'=1+arg1, arg2'=arg2p3, arg3'=arg3p3, (-arg3 == 0 /\ -arg2 == 0), cost: 1 Propagated Equalities Original rule: f79_0_increase_LE -> f79_0_increase_LE : arg1'=arg1p4, arg2'=arg2p4, arg3'=arg3p4, (-arg3+arg2 == 0 /\ 1-arg3p4+arg2 == 0 /\ arg1-arg1p4 == 0 /\ 1-arg2p4+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f79_0_increase_LE -> f79_0_increase_LE : arg1'=arg1, arg2'=1+arg2, arg3'=1+arg2, (0 == 0 /\ -arg3+arg2 == 0 /\ arg2 > 0), cost: 1 propagated equality arg3p4 = 1+arg2 propagated equality arg1p4 = arg1 propagated equality arg2p4 = 1+arg2 Simplified Guard Original rule: f79_0_increase_LE -> f79_0_increase_LE : arg1'=arg1, arg2'=1+arg2, arg3'=1+arg2, (0 == 0 /\ -arg3+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f79_0_increase_LE -> f79_0_increase_LE : arg1'=arg1, arg2'=1+arg2, arg3'=1+arg2, (-arg3+arg2 == 0 /\ arg2 > 0), cost: 1 Removed Trivial Updates Original rule: f79_0_increase_LE -> f79_0_increase_LE : arg1'=arg1, arg2'=1+arg2, arg3'=1+arg2, (-arg3+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f79_0_increase_LE -> f79_0_increase_LE : arg2'=1+arg2, arg3'=1+arg2, (-arg3+arg2 == 0 /\ arg2 > 0), cost: 1 Propagated Equalities Original rule: __init -> f50_0_increase_GE : arg1'=arg1p1, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p5 > 0 /\ -arg1p1+arg2p5 == 0 /\ arg1p5 > 0), cost: 1 New rule: __init -> f50_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, arg3'=arg3p1, (0 == 0 /\ 1+arg2p5 > 0 /\ arg1p5 > 0), cost: 1 propagated equality arg1p1 = arg2p5 Simplified Guard Original rule: __init -> f50_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, arg3'=arg3p1, (0 == 0 /\ 1+arg2p5 > 0 /\ arg1p5 > 0), cost: 1 New rule: __init -> f50_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p5 > 0 /\ arg1p5 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f50_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p5 > 0 /\ arg1p5 > 0), cost: 1 New rule: __init -> f50_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, arg3'=arg3p1, (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 7 Trace 9[(1+arg2p5 > 0)], 6[(-10+arg1 < 0)], 7[(-arg3 == 0 /\ -arg2 == 0)] Blocked [{}, {}, {}, {}] Acceleration Failed marked recursive suffix as redundant Step with 6 Trace 9[(1+arg2p5 > 0)], 6[(-10+arg1 < 0)], 7[(-arg3 == 0 /\ -arg2 == 0)], 6[(-10+arg1 < 0)] Blocked [{}, {}, {}, {}, {}] Accelerate Start location: __init Program variables: arg1 arg2 arg3 6: f50_0_increase_GE -> f79_0_increase_LE : arg2'=arg1, arg3'=arg1, -10+arg1 < 0, cost: 1 7: f79_0_increase_LE -> f50_0_increase_GE : arg1'=1+arg1, arg2'=arg2p3, arg3'=arg3p3, (-arg3 == 0 /\ -arg2 == 0), cost: 1 8: f79_0_increase_LE -> f79_0_increase_LE : arg2'=1+arg2, arg3'=1+arg2, (-arg3+arg2 == 0 /\ arg2 > 0), cost: 1 10: f79_0_increase_LE -> f79_0_increase_LE : arg1'=n+arg1, arg2'=n+arg1, arg3'=n+arg1, (arg3 >= 0 /\ -1+arg3-arg1 <= 0 /\ -arg3 >= 0 /\ 10-n-arg1 > 0 /\ -1+n >= 0 /\ 1-n-arg1 >= 0 /\ -1-arg1+arg2 <= 0 /\ arg2 >= 0 /\ -arg2 >= 0), cost: 1 9: __init -> f50_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p5 > 0), cost: 1 Loop Acceleration Original rule: f79_0_increase_LE -> f79_0_increase_LE : arg1'=1+arg1, arg2'=1+arg1, arg3'=1+arg1, (-arg3 == 0 /\ -9+arg1 < 0 /\ -arg2 == 0), cost: 1 New rule: f79_0_increase_LE -> f79_0_increase_LE : arg1'=n+arg1, arg2'=n+arg1, arg3'=n+arg1, (arg3 >= 0 /\ -1+arg3-arg1 <= 0 /\ -arg3 >= 0 /\ 10-n-arg1 > 0 /\ -1+n >= 0 /\ 1-n-arg1 >= 0 /\ -1-arg1+arg2 <= 0 /\ arg2 >= 0 /\ -arg2 >= 0), cost: 1 9-arg1 > 0 [0]: montonic decrease yields 10-n-arg1 > 0 9-arg1 > 0 [1]: eventual increase yields (1 <= 0 /\ 9-arg1 > 0) arg3 >= 0 [0]: eventual increase yields (arg3 >= 0 /\ -1+arg3-arg1 <= 0) -arg3 >= 0 [0]: eventual decrease yields (-arg3 >= 0 /\ 1-n-arg1 >= 0) arg2 >= 0 [0]: eventual increase yields (-1-arg1+arg2 <= 0 /\ arg2 >= 0) -arg2 >= 0 [0]: eventual decrease yields (1-n-arg1 >= 0 /\ -arg2 >= 0) Replacement map: {9-arg1 > 0 -> 10-n-arg1 > 0, arg3 >= 0 -> (arg3 >= 0 /\ -1+arg3-arg1 <= 0), -arg3 >= 0 -> (-arg3 >= 0 /\ 1-n-arg1 >= 0), arg2 >= 0 -> (-1-arg1+arg2 <= 0 /\ arg2 >= 0), -arg2 >= 0 -> (1-n-arg1 >= 0 /\ -arg2 >= 0)} Trace 9[(1+arg2p5 > 0)], 6[(-10+arg1 < 0)], 10[(arg3 >= 0 /\ -1+arg3-arg1 <= 0 /\ -arg3 >= 0 /\ 10-n-arg1 > 0 /\ -1+n >= 0 /\ 1-n-arg1 >= 0 /\ -1-arg1+arg2 <= 0 /\ arg2 >= 0 /\ -arg2 >= 0)] Blocked [{}, {}, {}, {10[T]}] Step with 8 Trace 9[(1+arg2p5 > 0)], 6[(-10+arg1 < 0)], 10[(arg3 >= 0 /\ -1+arg3-arg1 <= 0 /\ -arg3 >= 0 /\ 10-n-arg1 > 0 /\ -1+n >= 0 /\ 1-n-arg1 >= 0 /\ -1-arg1+arg2 <= 0 /\ arg2 >= 0 /\ -arg2 >= 0)], 8[(-arg3+arg2 == 0 /\ arg2 > 0)] Blocked [{}, {}, {}, {7[T], 10[T]}, {}] Nonterm Start location: __init Program variables: arg1 arg2 arg3 6: f50_0_increase_GE -> f79_0_increase_LE : arg2'=arg1, arg3'=arg1, -10+arg1 < 0, cost: 1 7: f79_0_increase_LE -> f50_0_increase_GE : arg1'=1+arg1, arg2'=arg2p3, arg3'=arg3p3, (-arg3 == 0 /\ -arg2 == 0), cost: 1 8: f79_0_increase_LE -> f79_0_increase_LE : arg2'=1+arg2, arg3'=1+arg2, (-arg3+arg2 == 0 /\ arg2 > 0), cost: 1 10: f79_0_increase_LE -> f79_0_increase_LE : arg1'=n+arg1, arg2'=n+arg1, arg3'=n+arg1, (arg3 >= 0 /\ -1+arg3-arg1 <= 0 /\ -arg3 >= 0 /\ 10-n-arg1 > 0 /\ -1+n >= 0 /\ 1-n-arg1 >= 0 /\ -1-arg1+arg2 <= 0 /\ arg2 >= 0 /\ -arg2 >= 0), cost: 1 11: f79_0_increase_LE -> LoAT_sink : (-arg3+arg2 >= 0 /\ -1+n2 >= 0 /\ arg3-arg2 >= 0 /\ arg2 > 0), cost: NONTERM 12: f79_0_increase_LE -> f79_0_increase_LE : arg2'=n2+arg2, arg3'=n2+arg2, (-arg3+arg2 >= 0 /\ -1+n2 >= 0 /\ arg3-arg2 >= 0 /\ arg2 > 0), cost: 1 9: __init -> f50_0_increase_GE : arg1'=arg2p5, arg2'=arg2p1, arg3'=arg3p1, (1+arg2p5 > 0), cost: 1 Certificate of Non-Termination Original rule: f79_0_increase_LE -> f79_0_increase_LE : arg2'=1+arg2, arg3'=1+arg2, (-arg3+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f79_0_increase_LE -> LoAT_sink : (-arg3+arg2 >= 0 /\ -1+n2 >= 0 /\ arg3-arg2 >= 0 /\ arg2 > 0), cost: NONTERM -arg3+arg2 >= 0 [0]: monotonic increase yields -arg3+arg2 >= 0 arg3-arg2 >= 0 [0]: monotonic increase yields arg3-arg2 >= 0 arg2 > 0 [0]: monotonic increase yields arg2 > 0 Replacement map: {-arg3+arg2 >= 0 -> -arg3+arg2 >= 0, arg3-arg2 >= 0 -> arg3-arg2 >= 0, arg2 > 0 -> arg2 > 0} Loop Acceleration Original rule: f79_0_increase_LE -> f79_0_increase_LE : arg2'=1+arg2, arg3'=1+arg2, (-arg3+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f79_0_increase_LE -> f79_0_increase_LE : arg2'=n2+arg2, arg3'=n2+arg2, (-arg3+arg2 >= 0 /\ -1+n2 >= 0 /\ arg3-arg2 >= 0 /\ arg2 > 0), cost: 1 -arg3+arg2 >= 0 [0]: monotonic increase yields -arg3+arg2 >= 0 arg3-arg2 >= 0 [0]: monotonic increase yields arg3-arg2 >= 0 arg2 > 0 [0]: monotonic increase yields arg2 > 0 Replacement map: {-arg3+arg2 >= 0 -> -arg3+arg2 >= 0, arg3-arg2 >= 0 -> arg3-arg2 >= 0, arg2 > 0 -> arg2 > 0} Step with 11 Trace 9[(1+arg2p5 > 0)], 6[(-10+arg1 < 0)], 10[(arg3 >= 0 /\ -1+arg3-arg1 <= 0 /\ -arg3 >= 0 /\ 10-n-arg1 > 0 /\ -1+n >= 0 /\ 1-n-arg1 >= 0 /\ -1-arg1+arg2 <= 0 /\ arg2 >= 0 /\ -arg2 >= 0)], 11[(-arg3+arg2 >= 0 /\ -1+n2 >= 0 /\ arg3-arg2 >= 0 /\ arg2 > 0)] Blocked [{}, {}, {}, {7[T], 10[T]}, {11[T]}] Refute Counterexample [ arg1=0 arg2=0 arg3=0 ] 9 [ arg1=0 arg2=0 arg3=0 ] 6 [ arg1=1 arg2=1 arg3=1 ] 10 [ arg1=arg1 arg2=arg2 arg3=arg3 ] 11 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b