NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f50_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 1: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 1-arg1-arg1p2 == 0), cost: 1 2: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3-arg1 == 0 /\ arg1 > 0 /\ 2+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 1: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 1-arg1-arg1p2 == 0), cost: 1 2: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3-arg1 == 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 4: __init -> f50_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p4 > 0 /\ arg1p4 > 0 /\ -arg1p1+arg2p4 == 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 -> f50_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f50_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p4 > 0 /\ arg1p4 > 0 /\ -arg1p1+arg2p4 == 0), cost: 1 Applied deletion Removed the following rules: 0 3 Simplified Transitions Start location: __init Program variables: arg1 arg2 5: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 6: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p3, (arg1 > 0 /\ 2+arg1 > 0), cost: 1 7: __init -> f50_0_loop_EQ : arg1'=arg2p4, arg2'=arg2p1, (1+arg2p4 > 0), cost: 1 Propagated Equalities Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 1-arg1-arg1p2 == 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (0 == 0 /\ -1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 propagated equality arg1p2 = 1-arg1 Simplified Guard Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (0 == 0 /\ -1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 Propagated Equalities Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (-1-arg1p3-arg1 == 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p3, (0 == 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 propagated equality arg1p3 = -1-arg1 Simplified Guard Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p3, (0 == 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p3, (arg1 > 0 /\ 2+arg1 > 0), cost: 1 Propagated Equalities Original rule: __init -> f50_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (1+arg2p4 > 0 /\ arg1p4 > 0 /\ -arg1p1+arg2p4 == 0), cost: 1 New rule: __init -> f50_0_loop_EQ : arg1'=arg2p4, arg2'=arg2p1, (0 == 0 /\ 1+arg2p4 > 0 /\ arg1p4 > 0), cost: 1 propagated equality arg1p1 = arg2p4 Simplified Guard Original rule: __init -> f50_0_loop_EQ : arg1'=arg2p4, arg2'=arg2p1, (0 == 0 /\ 1+arg2p4 > 0 /\ arg1p4 > 0), cost: 1 New rule: __init -> f50_0_loop_EQ : arg1'=arg2p4, arg2'=arg2p1, (1+arg2p4 > 0 /\ arg1p4 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f50_0_loop_EQ : arg1'=arg2p4, arg2'=arg2p1, (1+arg2p4 > 0 /\ arg1p4 > 0), cost: 1 New rule: __init -> f50_0_loop_EQ : arg1'=arg2p4, arg2'=arg2p1, (1+arg2p4 > 0), cost: 1 Unrolled Loops Start location: __init Program variables: arg1 arg2 5: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 6: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p3, (arg1 > 0 /\ 2+arg1 > 0), cost: 1 8: f50_0_loop_EQ -> f50_0_loop_EQ : arg2'=arg2p21, (1-arg1 < 0 /\ -1+arg1 < 0 /\ -arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 9: f50_0_loop_EQ -> f50_0_loop_EQ : arg2'=arg2p31, (1-arg1 > 0 /\ -1-arg1 > 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 7: __init -> f50_0_loop_EQ : arg1'=arg2p4, arg2'=arg2p1, (1+arg2p4 > 0), cost: 1 Unrolling Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1, arg2'=arg2p21, (1-arg1 < 0 /\ -1+arg1 < 0 /\ -arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 Removed Trivial Updates Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1, arg2'=arg2p21, (1-arg1 < 0 /\ -1+arg1 < 0 /\ -arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg2'=arg2p21, (1-arg1 < 0 /\ -1+arg1 < 0 /\ -arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 Unrolling Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p3, (arg1 > 0 /\ 2+arg1 > 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1, arg2'=arg2p31, (1-arg1 > 0 /\ -1-arg1 > 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 Removed Trivial Updates Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=arg1, arg2'=arg2p31, (1-arg1 > 0 /\ -1-arg1 > 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg2'=arg2p31, (1-arg1 > 0 /\ -1-arg1 > 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 Step with 7 Trace 7[(1+arg2p4 > 0)] Blocked [{}, {}] Step with 6 Trace 7[(1+arg2p4 > 0)], 6[(arg1 > 0 /\ 2+arg1 > 0)] Blocked [{}, {5[T]}, {}] Acceleration Failed marked recursive suffix as redundant Step with 5 Trace 7[(1+arg2p4 > 0)], 6[(arg1 > 0 /\ 2+arg1 > 0)], 5[(-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0)] Blocked [{}, {5[T]}, {6[T], 8[T], 9[T]}, {}] Acceleration Failed marked recursive suffix as redundant Nonterm Start location: __init Program variables: arg1 arg2 5: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (-1+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 6: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p3, (arg1 > 0 /\ 2+arg1 > 0), cost: 1 8: f50_0_loop_EQ -> f50_0_loop_EQ : arg2'=arg2p21, (1-arg1 < 0 /\ -1+arg1 < 0 /\ -arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 9: f50_0_loop_EQ -> f50_0_loop_EQ : arg2'=arg2p31, (1-arg1 > 0 /\ -1-arg1 > 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 10: f50_0_loop_EQ -> LoAT_sink : (-1+n >= 0 /\ 1+arg1 > 0 /\ arg1 > 0 /\ 3+arg1 > 0 /\ 2+arg1 > 0), cost: NONTERM 11: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=2*n+arg1, arg2'=arg2p2, (-1+n >= 0 /\ 1+arg1 > 0 /\ arg1 > 0 /\ 3+arg1 > 0 /\ 2+arg1 > 0), cost: 1 7: __init -> f50_0_loop_EQ : arg1'=arg2p4, arg2'=arg2p1, (1+arg2p4 > 0), cost: 1 Certificate of Non-Termination Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (-3-arg1 < 0 /\ -2-arg1 < 0 /\ -1-arg1 < 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 New rule: f50_0_loop_EQ -> LoAT_sink : (-1+n >= 0 /\ 1+arg1 > 0 /\ arg1 > 0 /\ 3+arg1 > 0 /\ 2+arg1 > 0), cost: NONTERM 1+arg1 > 0 [0]: monotonic increase yields 1+arg1 > 0 arg1 > 0 [0]: monotonic increase yields arg1 > 0, dependencies: 1+arg1 > 0 3+arg1 > 0 [0]: monotonic increase yields 3+arg1 > 0, dependencies: 1+arg1 > 0 2+arg1 > 0 [0]: monotonic increase yields 2+arg1 > 0, dependencies: 1+arg1 > 0 Replacement map: {1+arg1 > 0 -> 1+arg1 > 0, arg1 > 0 -> arg1 > 0, 3+arg1 > 0 -> 3+arg1 > 0, 2+arg1 > 0 -> 2+arg1 > 0} Loop Acceleration Original rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (-3-arg1 < 0 /\ -2-arg1 < 0 /\ -1-arg1 < 0 /\ arg1 > 0 /\ 2+arg1 > 0), cost: 1 New rule: f50_0_loop_EQ -> f50_0_loop_EQ : arg1'=2*n+arg1, arg2'=arg2p2, (-1+n >= 0 /\ 1+arg1 > 0 /\ arg1 > 0 /\ 3+arg1 > 0 /\ 2+arg1 > 0), cost: 1 1+arg1 > 0 [0]: monotonic increase yields 1+arg1 > 0 arg1 > 0 [0]: monotonic increase yields arg1 > 0, dependencies: 1+arg1 > 0 3+arg1 > 0 [0]: monotonic increase yields 3+arg1 > 0, dependencies: 1+arg1 > 0 2+arg1 > 0 [0]: monotonic increase yields 2+arg1 > 0, dependencies: 1+arg1 > 0 Replacement map: {1+arg1 > 0 -> 1+arg1 > 0, arg1 > 0 -> arg1 > 0, 3+arg1 > 0 -> 3+arg1 > 0, 2+arg1 > 0 -> 2+arg1 > 0} Step with 10 Trace 7[(1+arg2p4 > 0)], 10[(-1+n >= 0 /\ 1+arg1 > 0 /\ arg1 > 0 /\ 3+arg1 > 0 /\ 2+arg1 > 0)] Blocked [{}, {5[T]}, {10[T]}] Refute Counterexample [ arg1=1 arg2=0 ] 7 [ arg1=arg1 arg2=arg2 ] 10 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b