NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f82_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 1: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 1-arg1-arg1p2 == 0), cost: 1 2: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (5+arg1 < 0 /\ 1-arg1p3-arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 3: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (6+arg1 > 0 /\ -arg1p4 == 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 4: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-arg1p5 == 0 /\ arg1 > 0 /\ -6+arg1 < 0), cost: 1 5: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, (-1-arg1p6-arg1 == 0 /\ -5+arg1 > 0), cost: 1 6: __init -> f1_0_main_Load : arg1'=arg1p7, arg2'=arg2p7, T, cost: 1 Chained Linear Paths Start location: __init Program variables: arg1 arg2 1: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 1-arg1-arg1p2 == 0), cost: 1 2: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (5+arg1 < 0 /\ 1-arg1p3-arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 3: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (6+arg1 > 0 /\ -arg1p4 == 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 4: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-arg1p5 == 0 /\ arg1 > 0 /\ -6+arg1 < 0), cost: 1 5: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, (-1-arg1p6-arg1 == 0 /\ -5+arg1 > 0), cost: 1 7: __init -> f82_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p7 > 0 /\ -arg1p1+arg2p7 == 0 /\ 1+arg2p7 > 0), cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1p7, arg2'=arg2p7, T, cost: 1 Second rule: f1_0_main_Load -> f82_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f82_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p7 > 0 /\ -arg1p1+arg2p7 == 0 /\ 1+arg2p7 > 0), cost: 1 Applied deletion Removed the following rules: 0 6 Simplified Transitions Start location: __init Program variables: arg1 arg2 8: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 9: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p3, (5+arg1 < 0 /\ -1+arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 10: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p4, (6+arg1 > 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 11: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p5, (arg1 > 0 /\ -6+arg1 < 0), cost: 1 12: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p6, -5+arg1 > 0, cost: 1 13: __init -> f82_0_loop_EQ : arg1'=arg2p7, arg2'=arg2p1, (1+arg2p7 > 0), cost: 1 Propagated Equalities Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 1-arg1-arg1p2 == 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (0 == 0 /\ 5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 propagated equality arg1p2 = 1-arg1 Simplified Guard Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (0 == 0 /\ 5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 made implied equalities explicit Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (5+arg1 < 0 /\ 1-arg1p3-arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (5+arg1 < 0 /\ -1+arg1 == 0 /\ 1-arg1p3-arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 Propagated Equalities Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (5+arg1 < 0 /\ -1+arg1 == 0 /\ 1-arg1p3-arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p3, (0 == 0 /\ 5+arg1 < 0 /\ -1+arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 propagated equality arg1p3 = 1-arg1 Simplified Guard Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p3, (0 == 0 /\ 5+arg1 < 0 /\ -1+arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p3, (5+arg1 < 0 /\ -1+arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 Propagated Equalities Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (6+arg1 > 0 /\ -arg1p4 == 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p4, (0 == 0 /\ 6+arg1 > 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 propagated equality arg1p4 = 0 Simplified Guard Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p4, (0 == 0 /\ 6+arg1 > 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p4, (6+arg1 > 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 Propagated Equalities Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-arg1p5 == 0 /\ arg1 > 0 /\ -6+arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p5, (0 == 0 /\ arg1 > 0 /\ -6+arg1 < 0), cost: 1 propagated equality arg1p5 = 0 Simplified Guard Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p5, (0 == 0 /\ arg1 > 0 /\ -6+arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p5, (arg1 > 0 /\ -6+arg1 < 0), cost: 1 Propagated Equalities Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1p6, arg2'=arg2p6, (-1-arg1p6-arg1 == 0 /\ -5+arg1 > 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p6, (0 == 0 /\ -5+arg1 > 0), cost: 1 propagated equality arg1p6 = -1-arg1 Simplified Guard Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p6, (0 == 0 /\ -5+arg1 > 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p6, -5+arg1 > 0, cost: 1 Propagated Equalities Original rule: __init -> f82_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p7 > 0 /\ -arg1p1+arg2p7 == 0 /\ 1+arg2p7 > 0), cost: 1 New rule: __init -> f82_0_loop_EQ : arg1'=arg2p7, arg2'=arg2p1, (0 == 0 /\ arg1p7 > 0 /\ 1+arg2p7 > 0), cost: 1 propagated equality arg1p1 = arg2p7 Simplified Guard Original rule: __init -> f82_0_loop_EQ : arg1'=arg2p7, arg2'=arg2p1, (0 == 0 /\ arg1p7 > 0 /\ 1+arg2p7 > 0), cost: 1 New rule: __init -> f82_0_loop_EQ : arg1'=arg2p7, arg2'=arg2p1, (arg1p7 > 0 /\ 1+arg2p7 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f82_0_loop_EQ : arg1'=arg2p7, arg2'=arg2p1, (arg1p7 > 0 /\ 1+arg2p7 > 0), cost: 1 New rule: __init -> f82_0_loop_EQ : arg1'=arg2p7, arg2'=arg2p1, (1+arg2p7 > 0), cost: 1 Unrolled Loops Start location: __init Program variables: arg1 arg2 8: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 9: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p3, (5+arg1 < 0 /\ -1+arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 10: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p4, (6+arg1 > 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 11: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p5, (arg1 > 0 /\ -6+arg1 < 0), cost: 1 12: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p6, -5+arg1 > 0, cost: 1 14: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p21, (5+arg1 < 0 /\ 1-arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 6-arg1 < 0), cost: 1 15: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p31, (5+arg1 < 0 /\ 1-arg1 > 0 /\ -1+arg1 == 0 /\ -arg1 == 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 > 0 /\ 6-arg1 < 0), cost: 1 16: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p61, (-6-arg1 > 0 /\ -5+arg1 > 0), cost: 1 13: __init -> f82_0_loop_EQ : arg1'=arg2p7, arg2'=arg2p1, (1+arg2p7 > 0), cost: 1 Unrolling Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1, arg2'=arg2p21, (5+arg1 < 0 /\ 1-arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 6-arg1 < 0), cost: 1 Removed Trivial Updates Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1, arg2'=arg2p21, (5+arg1 < 0 /\ 1-arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 6-arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p21, (5+arg1 < 0 /\ 1-arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 6-arg1 < 0), cost: 1 Unrolling Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p3, (5+arg1 < 0 /\ -1+arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1, arg2'=arg2p31, (5+arg1 < 0 /\ 1-arg1 > 0 /\ -1+arg1 == 0 /\ -arg1 == 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 > 0 /\ 6-arg1 < 0), cost: 1 Removed Trivial Updates Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1, arg2'=arg2p31, (5+arg1 < 0 /\ 1-arg1 > 0 /\ -1+arg1 == 0 /\ -arg1 == 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 > 0 /\ 6-arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p31, (5+arg1 < 0 /\ 1-arg1 > 0 /\ -1+arg1 == 0 /\ -arg1 == 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 > 0 /\ 6-arg1 < 0), cost: 1 Unrolling Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p6, -5+arg1 > 0, cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1, arg2'=arg2p61, (-6-arg1 > 0 /\ -5+arg1 > 0), cost: 1 Removed Trivial Updates Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=arg1, arg2'=arg2p61, (-6-arg1 > 0 /\ -5+arg1 > 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p61, (-6-arg1 > 0 /\ -5+arg1 > 0), cost: 1 Step with 13 Trace 13[(1+arg2p7 > 0)] Blocked [{}, {}] Step with 11 Trace 13[(1+arg2p7 > 0)], 11[(arg1 > 0 /\ -6+arg1 < 0)] Blocked [{}, {8[T], 9[T], 10[T]}, {}] Acceleration Failed marked recursive suffix as redundant Backtrack Trace 13[(1+arg2p7 > 0)] Blocked [{}, {8[T], 9[T], 10[T], 11[T]}] Step with 12 Trace 13[(1+arg2p7 > 0)], 12[(-5+arg1 > 0)] Blocked [{}, {8[T], 9[T], 10[T], 11[T]}, {}] Acceleration Failed marked recursive suffix as redundant Step with 8 Trace 13[(1+arg2p7 > 0)], 12[(-5+arg1 > 0)], 8[(5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0)] Blocked [{}, {8[T], 9[T], 10[T], 11[T]}, {12[T], 14[T], 15[T], 16[T]}, {}] Acceleration Failed marked recursive suffix as redundant Nonterm Start location: __init Program variables: arg1 arg2 8: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p2, (5+arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0), cost: 1 9: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=1-arg1, arg2'=arg2p3, (5+arg1 < 0 /\ -1+arg1 == 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 10: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p4, (6+arg1 > 0 /\ arg1 < 0 /\ -6+arg1 < 0), cost: 1 11: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=0, arg2'=arg2p5, (arg1 > 0 /\ -6+arg1 < 0), cost: 1 12: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=-1-arg1, arg2'=arg2p6, -5+arg1 > 0, cost: 1 14: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p21, (5+arg1 < 0 /\ 1-arg1 < 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 < 0 /\ 6-arg1 < 0), cost: 1 15: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p31, (5+arg1 < 0 /\ 1-arg1 > 0 /\ -1+arg1 == 0 /\ -arg1 == 0 /\ -1-arg1 < 0 /\ -2+arg1 < 0 /\ arg1 > 0 /\ 6-arg1 < 0), cost: 1 16: f82_0_loop_EQ -> f82_0_loop_EQ : arg2'=arg2p61, (-6-arg1 > 0 /\ -5+arg1 > 0), cost: 1 17: f82_0_loop_EQ -> LoAT_sink : (-1+n >= 0 /\ 1+arg1 > 0 /\ 3+arg1 > 0 /\ -5+arg1 > 0 /\ -4+arg1 > 0), cost: NONTERM 18: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=2*n+arg1, arg2'=arg2p2, (-1+n >= 0 /\ 1+arg1 > 0 /\ 3+arg1 > 0 /\ -5+arg1 > 0 /\ -4+arg1 > 0), cost: 1 13: __init -> f82_0_loop_EQ : arg1'=arg2p7, arg2'=arg2p1, (1+arg2p7 > 0), cost: 1 Certificate of Non-Termination Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (-3-arg1 < 0 /\ -1-arg1 < 0 /\ -5+arg1 > 0 /\ 4-arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> LoAT_sink : (-1+n >= 0 /\ 1+arg1 > 0 /\ 3+arg1 > 0 /\ -5+arg1 > 0 /\ -4+arg1 > 0), cost: NONTERM 1+arg1 > 0 [0]: monotonic increase yields 1+arg1 > 0 3+arg1 > 0 [0]: monotonic increase yields 3+arg1 > 0, dependencies: 1+arg1 > 0 -5+arg1 > 0 [0]: monotonic increase yields -5+arg1 > 0 -4+arg1 > 0 [0]: monotonic increase yields -4+arg1 > 0, dependencies: -5+arg1 > 0 Replacement map: {1+arg1 > 0 -> 1+arg1 > 0, 3+arg1 > 0 -> 3+arg1 > 0, -5+arg1 > 0 -> -5+arg1 > 0, -4+arg1 > 0 -> -4+arg1 > 0} Loop Acceleration Original rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (-3-arg1 < 0 /\ -1-arg1 < 0 /\ -5+arg1 > 0 /\ 4-arg1 < 0), cost: 1 New rule: f82_0_loop_EQ -> f82_0_loop_EQ : arg1'=2*n+arg1, arg2'=arg2p2, (-1+n >= 0 /\ 1+arg1 > 0 /\ 3+arg1 > 0 /\ -5+arg1 > 0 /\ -4+arg1 > 0), cost: 1 1+arg1 > 0 [0]: monotonic increase yields 1+arg1 > 0 3+arg1 > 0 [0]: monotonic increase yields 3+arg1 > 0, dependencies: 1+arg1 > 0 -5+arg1 > 0 [0]: monotonic increase yields -5+arg1 > 0 -4+arg1 > 0 [0]: monotonic increase yields -4+arg1 > 0, dependencies: -5+arg1 > 0 Replacement map: {1+arg1 > 0 -> 1+arg1 > 0, 3+arg1 > 0 -> 3+arg1 > 0, -5+arg1 > 0 -> -5+arg1 > 0, -4+arg1 > 0 -> -4+arg1 > 0} Step with 17 Trace 13[(1+arg2p7 > 0)], 17[(-1+n >= 0 /\ 1+arg1 > 0 /\ 3+arg1 > 0 /\ -5+arg1 > 0 /\ -4+arg1 > 0)] Blocked [{}, {8[T], 9[T], 10[T], 11[T]}, {17[T]}] Refute Counterexample [ arg1=6 arg2=0 ] 13 [ arg1=arg1 arg2=arg2 ] 17 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b