NO Initial ITS Start location: __init Program variables: arg1 arg2 0: f1_0_main_Load -> f81_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 1: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (2+arg1-arg1p2 == 0 /\ arg1 < 0 /\ 3+arg1 > 0), cost: 1 2: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (-3+arg1 < 0 /\ -2-arg1p3+arg1 == 0 /\ arg1 > 0), cost: 1 3: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (1+arg1 < 0 /\ arg1 < 0 /\ -2-arg1p4-arg1 == 0 /\ 2+arg1 < 0), cost: 1 4: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-2+arg1 > 0 /\ 2-arg1-arg1p5 == 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: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (2+arg1-arg1p2 == 0 /\ arg1 < 0 /\ 3+arg1 > 0), cost: 1 2: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (-3+arg1 < 0 /\ -2-arg1p3+arg1 == 0 /\ arg1 > 0), cost: 1 3: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (1+arg1 < 0 /\ arg1 < 0 /\ -2-arg1p4-arg1 == 0 /\ 2+arg1 < 0), cost: 1 4: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-2+arg1 > 0 /\ 2-arg1-arg1p5 == 0), cost: 1 6: __init -> f81_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p6 > 0 /\ -arg1p1+arg2p6 == 0 /\ 1+arg2p6 > 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 -> f81_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (-arg1p1+arg2 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f81_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p6 > 0 /\ -arg1p1+arg2p6 == 0 /\ 1+arg2p6 > 0), cost: 1 Applied deletion Removed the following rules: 0 5 Simplified Transitions Start location: __init Program variables: arg1 arg2 7: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (arg1 < 0 /\ 3+arg1 > 0), cost: 1 8: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2+arg1, arg2'=arg2p3, (-3+arg1 < 0 /\ arg1 > 0), cost: 1 9: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2-arg1, arg2'=arg2p4, (1+arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 10: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2-arg1, arg2'=arg2p5, -2+arg1 > 0, cost: 1 11: __init -> f81_0_loop_EQ : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0), cost: 1 Propagated Equalities Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p2, arg2'=arg2p2, (2+arg1-arg1p2 == 0 /\ arg1 < 0 /\ 3+arg1 > 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (0 == 0 /\ arg1 < 0 /\ 3+arg1 > 0), cost: 1 propagated equality arg1p2 = 2+arg1 Simplified Guard Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (0 == 0 /\ arg1 < 0 /\ 3+arg1 > 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (arg1 < 0 /\ 3+arg1 > 0), cost: 1 Propagated Equalities Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p3, arg2'=arg2p3, (-3+arg1 < 0 /\ -2-arg1p3+arg1 == 0 /\ arg1 > 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2+arg1, arg2'=arg2p3, (0 == 0 /\ -3+arg1 < 0 /\ arg1 > 0), cost: 1 propagated equality arg1p3 = -2+arg1 Simplified Guard Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2+arg1, arg2'=arg2p3, (0 == 0 /\ -3+arg1 < 0 /\ arg1 > 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2+arg1, arg2'=arg2p3, (-3+arg1 < 0 /\ arg1 > 0), cost: 1 Propagated Equalities Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p4, arg2'=arg2p4, (1+arg1 < 0 /\ arg1 < 0 /\ -2-arg1p4-arg1 == 0 /\ 2+arg1 < 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2-arg1, arg2'=arg2p4, (0 == 0 /\ 1+arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 propagated equality arg1p4 = -2-arg1 Simplified Guard Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2-arg1, arg2'=arg2p4, (0 == 0 /\ 1+arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2-arg1, arg2'=arg2p4, (1+arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 Propagated Equalities Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1p5, arg2'=arg2p5, (-2+arg1 > 0 /\ 2-arg1-arg1p5 == 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2-arg1, arg2'=arg2p5, (0 == 0 /\ -2+arg1 > 0), cost: 1 propagated equality arg1p5 = 2-arg1 Simplified Guard Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2-arg1, arg2'=arg2p5, (0 == 0 /\ -2+arg1 > 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2-arg1, arg2'=arg2p5, -2+arg1 > 0, cost: 1 Propagated Equalities Original rule: __init -> f81_0_loop_EQ : arg1'=arg1p1, arg2'=arg2p1, (arg1p6 > 0 /\ -arg1p1+arg2p6 == 0 /\ 1+arg2p6 > 0), cost: 1 New rule: __init -> f81_0_loop_EQ : arg1'=arg2p6, arg2'=arg2p1, (0 == 0 /\ arg1p6 > 0 /\ 1+arg2p6 > 0), cost: 1 propagated equality arg1p1 = arg2p6 Simplified Guard Original rule: __init -> f81_0_loop_EQ : arg1'=arg2p6, arg2'=arg2p1, (0 == 0 /\ arg1p6 > 0 /\ 1+arg2p6 > 0), cost: 1 New rule: __init -> f81_0_loop_EQ : arg1'=arg2p6, arg2'=arg2p1, (arg1p6 > 0 /\ 1+arg2p6 > 0), cost: 1 Eliminated Temporary Variables via Transitive Closure Original rule: __init -> f81_0_loop_EQ : arg1'=arg2p6, arg2'=arg2p1, (arg1p6 > 0 /\ 1+arg2p6 > 0), cost: 1 New rule: __init -> f81_0_loop_EQ : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0), cost: 1 Unrolled Loops Start location: __init Program variables: arg1 arg2 7: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (arg1 < 0 /\ 3+arg1 > 0), cost: 1 8: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2+arg1, arg2'=arg2p3, (-3+arg1 < 0 /\ arg1 > 0), cost: 1 9: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2-arg1, arg2'=arg2p4, (1+arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 10: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2-arg1, arg2'=arg2p5, -2+arg1 > 0, cost: 1 12: f81_0_loop_EQ -> f81_0_loop_EQ : arg2'=arg2p41, (-arg1 < 0 /\ -2-arg1 < 0 /\ 1+arg1 < 0 /\ -1-arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 13: f81_0_loop_EQ -> f81_0_loop_EQ : arg2'=arg2p51, (-arg1 > 0 /\ -2+arg1 > 0), cost: 1 11: __init -> f81_0_loop_EQ : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0), cost: 1 Unrolling Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2-arg1, arg2'=arg2p4, (1+arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1, arg2'=arg2p41, (-arg1 < 0 /\ -2-arg1 < 0 /\ 1+arg1 < 0 /\ -1-arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 Removed Trivial Updates Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1, arg2'=arg2p41, (-arg1 < 0 /\ -2-arg1 < 0 /\ 1+arg1 < 0 /\ -1-arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg2'=arg2p41, (-arg1 < 0 /\ -2-arg1 < 0 /\ 1+arg1 < 0 /\ -1-arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 Unrolling Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2-arg1, arg2'=arg2p5, -2+arg1 > 0, cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1, arg2'=arg2p51, (-arg1 > 0 /\ -2+arg1 > 0), cost: 1 Removed Trivial Updates Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=arg1, arg2'=arg2p51, (-arg1 > 0 /\ -2+arg1 > 0), cost: 1 New rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg2'=arg2p51, (-arg1 > 0 /\ -2+arg1 > 0), cost: 1 Step with 11 Trace 11[(1+arg2p6 > 0)] Blocked [{}, {}] Step with 8 Trace 11[(1+arg2p6 > 0)], 8[(-3+arg1 < 0 /\ arg1 > 0)] Blocked [{}, {7[T]}, {}] Acceleration Failed marked recursive suffix as redundant Step with 7 Trace 11[(1+arg2p6 > 0)], 8[(-3+arg1 < 0 /\ arg1 > 0)], 7[(arg1 < 0 /\ 3+arg1 > 0)] Blocked [{}, {7[T]}, {8[T], 9[T], 10[T], 12[T], 13[T]}, {}] Acceleration Failed marked recursive suffix as redundant Nonterm Start location: __init Program variables: arg1 arg2 7: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2+arg1, arg2'=arg2p2, (arg1 < 0 /\ 3+arg1 > 0), cost: 1 8: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2+arg1, arg2'=arg2p3, (-3+arg1 < 0 /\ arg1 > 0), cost: 1 9: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=-2-arg1, arg2'=arg2p4, (1+arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 10: f81_0_loop_EQ -> f81_0_loop_EQ : arg1'=2-arg1, arg2'=arg2p5, -2+arg1 > 0, cost: 1 12: f81_0_loop_EQ -> f81_0_loop_EQ : arg2'=arg2p41, (-arg1 < 0 /\ -2-arg1 < 0 /\ 1+arg1 < 0 /\ -1-arg1 < 0 /\ arg1 < 0 /\ 2+arg1 < 0), cost: 1 13: f81_0_loop_EQ -> f81_0_loop_EQ : arg2'=arg2p51, (-arg1 > 0 /\ -2+arg1 > 0), cost: 1 14: f81_0_loop_EQ -> LoAT_sink : (3-arg1 > 0 /\ -1+n >= 0 /\ 2-arg1 > 0 /\ 1+arg1 > 0 /\ arg1 > 0), cost: NONTERM 11: __init -> f81_0_loop_EQ : arg1'=arg2p6, arg2'=arg2p1, (1+arg2p6 > 0), cost: 1 Certificate of Non-Termination Original rule: f81_0_loop_EQ -> f81_0_loop_EQ : arg2'=arg2p2, (-3+arg1 < 0 /\ 1+arg1 > 0 /\ -2+arg1 < 0 /\ arg1 > 0), cost: 1 New rule: f81_0_loop_EQ -> LoAT_sink : (3-arg1 > 0 /\ -1+n >= 0 /\ 2-arg1 > 0 /\ 1+arg1 > 0 /\ arg1 > 0), cost: NONTERM 3-arg1 > 0 [0]: monotonic increase yields 3-arg1 > 0 2-arg1 > 0 [0]: monotonic increase yields 2-arg1 > 0 1+arg1 > 0 [0]: monotonic increase yields 1+arg1 > 0 arg1 > 0 [0]: monotonic increase yields arg1 > 0 Replacement map: {3-arg1 > 0 -> 3-arg1 > 0, 2-arg1 > 0 -> 2-arg1 > 0, 1+arg1 > 0 -> 1+arg1 > 0, arg1 > 0 -> arg1 > 0} Step with 14 Trace 11[(1+arg2p6 > 0)], 14[(3-arg1 > 0 /\ -1+n >= 0 /\ 2-arg1 > 0 /\ 1+arg1 > 0 /\ arg1 > 0)] Blocked [{}, {7[T]}, {14[T]}] Refute Counterexample [ arg1=1 arg2=0 ] 11 [ arg1=arg1 arg2=arg2 ] 14 NO Build SHA: a05f16bf13df659c382799650051f91bf6828c7b