WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg1P_1>2 && 0==arg2 ], cost: 1 1: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, [ -1+arg1P_2<=arg1 && arg1>0 && arg1P_2>1 && 0==arg2 ], cost: 1 2: f1_0_main_Load -> f481_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && x6_1>-1 && arg1P_3>2 && 1==arg2 ], cost: 1 3: f1_0_main_Load -> f481_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, [ -1+arg1P_4<=arg1 && x64_1>-1 && arg1>0 && arg1P_4>1 && 1==arg2 ], cost: 1 4: f1_0_main_Load -> f482_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, [ x15_1*x14_1>=0 && arg2>1 && x15_1>-1 && x14_1>-1 && arg1P_5<=arg1 && arg1>0 && arg1P_5>0 && arg2P_5>2 ], cost: 1 5: f1_0_main_Load -> f482_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, [ x20_1*x21_1>=0 && arg2>1 && x21_1>-1 && x20_1>-1 && arg1P_6<=arg1 && -1+arg2P_6<=arg1 && arg1>0 && arg1P_6>0 && arg2P_6>1 ], cost: 1 6: f1_0_main_Load -> f193_0__init__LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1>0 && 0==arg2 && 10==arg1P_7 ], cost: 1 7: f1_0_main_Load -> f193_0__init__LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1>0 && x69_1>-1 && 1==arg2 && 10==arg1P_8 ], cost: 1 8: f1_0_main_Load -> f193_0__init__LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, [ x28_1*x27_1>=0 && arg2>1 && x28_1>-1 && x27_1>-1 && arg1>0 && 10+x28_1*x27_1==arg1P_9 ], cost: 1 13: f480_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ arg1P_14<=arg1 && 1+arg2P_14<=arg1 && arg1>0 && arg1P_14>0 && arg2P_14>-1 ], cost: 1 14: f481_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && 1+arg2P_15<=arg1 && arg1>0 && arg1P_15>0 && arg2P_15>-1 ], cost: 1 15: f482_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [ arg1P_16<=arg2 && x46_1>1 && 1+arg2P_16<=arg2 && arg1>0 && arg2>0 && arg1P_16>0 && arg2P_16>-1 ], cost: 1 9: f193_0__init__LE -> f193_0__init__LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>1 && -1+arg1 f518_0__init__InvokeMethod : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, [ -1+arg14 && arg1>1 && -1+arg1==arg2P_11 ], cost: 1 11: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ -1+arg13 && arg1>1 && -1+arg1==arg2P_12 ], cost: 1 12: f518_0__init__InvokeMethod -> f193_0__init__LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1>2 && arg2>0 && arg2==arg1P_13 ], cost: 1 16: f388_0_height_NONNULL -> f388_0_height_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ 2+arg1P_17<=arg1 && arg1P_17<=arg2 && 3+arg2P_17<=arg1 && 1+arg2P_17<=arg2 && arg1>2 && arg2>0 && arg1P_17>0 && arg2P_17>-1 ], cost: 1 17: f388_0_height_NONNULL -> f388_0_height_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [ 2+arg1P_18<=arg1 && 3+arg2P_18<=arg1 && arg1>2 && arg2>-1 && arg1P_18>0 && arg2P_18>-1 ], cost: 1 18: __init -> f1_0_main_Load : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 18: __init -> f1_0_main_Load : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg1P_1>2 && 0==arg2 ], cost: 1 1: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, [ -1+arg1P_2<=arg1 && arg1>0 && arg1P_2>1 && 0==arg2 ], cost: 1 2: f1_0_main_Load -> f481_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg1P_3>2 && 1==arg2 ], cost: 1 3: f1_0_main_Load -> f481_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, [ -1+arg1P_4<=arg1 && arg1>0 && arg1P_4>1 && 1==arg2 ], cost: 1 4: f1_0_main_Load -> f482_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, [ arg2>1 && arg1P_5<=arg1 && arg1>0 && arg1P_5>0 && arg2P_5>2 ], cost: 1 5: f1_0_main_Load -> f482_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, [ arg2>1 && arg1P_6<=arg1 && -1+arg2P_6<=arg1 && arg1>0 && arg1P_6>0 && arg2P_6>1 ], cost: 1 6: f1_0_main_Load -> f193_0__init__LE : arg1'=10, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1>0 && 0==arg2 ], cost: 1 7: f1_0_main_Load -> f193_0__init__LE : arg1'=10, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1>0 && 1==arg2 ], cost: 1 8: f1_0_main_Load -> f193_0__init__LE : arg1'=10+x28_1*x27_1, arg2'=arg2P_9, arg3'=arg3P_9, [ arg2>1 && x28_1>-1 && x27_1>-1 && arg1>0 ], cost: 1 13: f480_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ arg1P_14<=arg1 && 1+arg2P_14<=arg1 && arg1>0 && arg1P_14>0 && arg2P_14>-1 ], cost: 1 14: f481_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && 1+arg2P_15<=arg1 && arg1>0 && arg1P_15>0 && arg2P_15>-1 ], cost: 1 15: f482_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [ arg1P_16<=arg2 && 1+arg2P_16<=arg2 && arg1>0 && arg2>0 && arg1P_16>0 && arg2P_16>-1 ], cost: 1 9: f193_0__init__LE -> f193_0__init__LE : arg1'=-1+arg1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>1 ], cost: 1 10: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_11, arg2'=-1+arg1, arg3'=arg3P_11, [ arg1P_11>4 && arg1>1 ], cost: 1 11: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_12, arg2'=-1+arg1, arg3'=arg3P_12, [ arg1P_12>3 && arg1>1 ], cost: 1 12: f518_0__init__InvokeMethod -> f193_0__init__LE : arg1'=arg2, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1>2 && arg2>0 ], cost: 1 16: f388_0_height_NONNULL -> f388_0_height_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ 2+arg1P_17<=arg1 && arg1P_17<=arg2 && 3+arg2P_17<=arg1 && 1+arg2P_17<=arg2 && arg1>2 && arg2>0 && arg1P_17>0 && arg2P_17>-1 ], cost: 1 17: f388_0_height_NONNULL -> f388_0_height_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [ 2+arg1P_18<=arg1 && 3+arg2P_18<=arg1 && arg1>2 && arg2>-1 && arg1P_18>0 && arg2P_18>-1 ], cost: 1 18: __init -> f1_0_main_Load : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 4. Accelerating the following rules: 9: f193_0__init__LE -> f193_0__init__LE : arg1'=-1+arg1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>1 ], cost: 1 Accelerated rule 9 with backward acceleration, yielding the new rule 19. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 9. Accelerating simple loops of location 6. Accelerating the following rules: 16: f388_0_height_NONNULL -> f388_0_height_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ 2+arg1P_17<=arg1 && arg1P_17<=arg2 && 3+arg2P_17<=arg1 && 1+arg2P_17<=arg2 && arg1>2 && arg2>0 && arg1P_17>0 && arg2P_17>-1 ], cost: 1 17: f388_0_height_NONNULL -> f388_0_height_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [ 2+arg1P_18<=arg1 && 3+arg2P_18<=arg1 && arg1>2 && arg2>-1 && arg1P_18>0 && arg2P_18>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 16. Failed to prove monotonicity of the guard of rule 17. [accelerate] Nesting with 2 inner and 2 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg1P_1>2 && 0==arg2 ], cost: 1 1: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, [ -1+arg1P_2<=arg1 && arg1>0 && arg1P_2>1 && 0==arg2 ], cost: 1 2: f1_0_main_Load -> f481_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg1P_3>2 && 1==arg2 ], cost: 1 3: f1_0_main_Load -> f481_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, [ -1+arg1P_4<=arg1 && arg1>0 && arg1P_4>1 && 1==arg2 ], cost: 1 4: f1_0_main_Load -> f482_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, [ arg2>1 && arg1P_5<=arg1 && arg1>0 && arg1P_5>0 && arg2P_5>2 ], cost: 1 5: f1_0_main_Load -> f482_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, [ arg2>1 && arg1P_6<=arg1 && -1+arg2P_6<=arg1 && arg1>0 && arg1P_6>0 && arg2P_6>1 ], cost: 1 6: f1_0_main_Load -> f193_0__init__LE : arg1'=10, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1>0 && 0==arg2 ], cost: 1 7: f1_0_main_Load -> f193_0__init__LE : arg1'=10, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1>0 && 1==arg2 ], cost: 1 8: f1_0_main_Load -> f193_0__init__LE : arg1'=10+x28_1*x27_1, arg2'=arg2P_9, arg3'=arg3P_9, [ arg2>1 && x28_1>-1 && x27_1>-1 && arg1>0 ], cost: 1 13: f480_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ arg1P_14<=arg1 && 1+arg2P_14<=arg1 && arg1>0 && arg1P_14>0 && arg2P_14>-1 ], cost: 1 14: f481_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && 1+arg2P_15<=arg1 && arg1>0 && arg1P_15>0 && arg2P_15>-1 ], cost: 1 15: f482_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [ arg1P_16<=arg2 && 1+arg2P_16<=arg2 && arg1>0 && arg2>0 && arg1P_16>0 && arg2P_16>-1 ], cost: 1 10: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_11, arg2'=-1+arg1, arg3'=arg3P_11, [ arg1P_11>4 && arg1>1 ], cost: 1 11: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_12, arg2'=-1+arg1, arg3'=arg3P_12, [ arg1P_12>3 && arg1>1 ], cost: 1 19: f193_0__init__LE -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ -1+arg1>=1 ], cost: -1+arg1 12: f518_0__init__InvokeMethod -> f193_0__init__LE : arg1'=arg2, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1>2 && arg2>0 ], cost: 1 16: f388_0_height_NONNULL -> f388_0_height_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ 2+arg1P_17<=arg1 && arg1P_17<=arg2 && 3+arg2P_17<=arg1 && 1+arg2P_17<=arg2 && arg1>2 && arg2>0 && arg1P_17>0 && arg2P_17>-1 ], cost: 1 17: f388_0_height_NONNULL -> f388_0_height_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [ 2+arg1P_18<=arg1 && 3+arg2P_18<=arg1 && arg1>2 && arg2>-1 && arg1P_18>0 && arg2P_18>-1 ], cost: 1 18: __init -> f1_0_main_Load : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg1P_1>2 && 0==arg2 ], cost: 1 1: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, [ -1+arg1P_2<=arg1 && arg1>0 && arg1P_2>1 && 0==arg2 ], cost: 1 2: f1_0_main_Load -> f481_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg1P_3>2 && 1==arg2 ], cost: 1 3: f1_0_main_Load -> f481_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, [ -1+arg1P_4<=arg1 && arg1>0 && arg1P_4>1 && 1==arg2 ], cost: 1 4: f1_0_main_Load -> f482_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, [ arg2>1 && arg1P_5<=arg1 && arg1>0 && arg1P_5>0 && arg2P_5>2 ], cost: 1 5: f1_0_main_Load -> f482_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, [ arg2>1 && arg1P_6<=arg1 && -1+arg2P_6<=arg1 && arg1>0 && arg1P_6>0 && arg2P_6>1 ], cost: 1 6: f1_0_main_Load -> f193_0__init__LE : arg1'=10, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1>0 && 0==arg2 ], cost: 1 7: f1_0_main_Load -> f193_0__init__LE : arg1'=10, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1>0 && 1==arg2 ], cost: 1 8: f1_0_main_Load -> f193_0__init__LE : arg1'=10+x28_1*x27_1, arg2'=arg2P_9, arg3'=arg3P_9, [ arg2>1 && x28_1>-1 && x27_1>-1 && arg1>0 ], cost: 1 20: f1_0_main_Load -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>0 && 0==arg2 ], cost: 10 21: f1_0_main_Load -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>0 && 1==arg2 ], cost: 10 22: f1_0_main_Load -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2>1 && x28_1>-1 && x27_1>-1 && arg1>0 && 9+x28_1*x27_1>=1 ], cost: 10+x28_1*x27_1 13: f480_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ arg1P_14<=arg1 && 1+arg2P_14<=arg1 && arg1>0 && arg1P_14>0 && arg2P_14>-1 ], cost: 1 24: f480_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ arg1P_17>0 && arg2P_17>-1 && 2+arg1P_17<=arg1 && 3+arg2P_17<=arg1 && 3<=arg1 ], cost: 2 27: f480_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [ arg1P_18>0 && arg2P_18>-1 && 2+arg1P_18<=arg1 && 3+arg2P_18<=arg1 && 3<=arg1 ], cost: 2 14: f481_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && 1+arg2P_15<=arg1 && arg1>0 && arg1P_15>0 && arg2P_15>-1 ], cost: 1 25: f481_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ arg1P_17>0 && arg2P_17>-1 && 2+arg1P_17<=arg1 && 3+arg2P_17<=arg1 && 3<=arg1 ], cost: 2 28: f481_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [ arg1P_18>0 && arg2P_18>-1 && 2+arg1P_18<=arg1 && 3+arg2P_18<=arg1 && 3<=arg1 ], cost: 2 15: f482_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [ arg1P_16<=arg2 && 1+arg2P_16<=arg2 && arg1>0 && arg2>0 && arg1P_16>0 && arg2P_16>-1 ], cost: 1 26: f482_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ arg1>0 && arg1P_17>0 && arg2P_17>-1 && 2+arg1P_17<=arg2 && 3+arg2P_17<=arg2 && 3<=arg2 ], cost: 2 29: f482_0_main_InvokeMethod -> f388_0_height_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [ arg1>0 && arg1P_18>0 && arg2P_18>-1 && 2+arg1P_18<=arg2 && 3+arg2P_18<=arg2 && 3<=arg2 ], cost: 2 10: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_11, arg2'=-1+arg1, arg3'=arg3P_11, [ arg1P_11>4 && arg1>1 ], cost: 1 11: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_12, arg2'=-1+arg1, arg3'=arg3P_12, [ arg1P_12>3 && arg1>1 ], cost: 1 12: f518_0__init__InvokeMethod -> f193_0__init__LE : arg1'=arg2, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1>2 && arg2>0 ], cost: 1 23: f518_0__init__InvokeMethod -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>2 && -1+arg2>=1 ], cost: arg2 18: __init -> f1_0_main_Load : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 6: f1_0_main_Load -> f193_0__init__LE : arg1'=10, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1>0 && 0==arg2 ], cost: 1 7: f1_0_main_Load -> f193_0__init__LE : arg1'=10, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1>0 && 1==arg2 ], cost: 1 8: f1_0_main_Load -> f193_0__init__LE : arg1'=10+x28_1*x27_1, arg2'=arg2P_9, arg3'=arg3P_9, [ arg2>1 && x28_1>-1 && x27_1>-1 && arg1>0 ], cost: 1 20: f1_0_main_Load -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>0 && 0==arg2 ], cost: 10 21: f1_0_main_Load -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>0 && 1==arg2 ], cost: 10 22: f1_0_main_Load -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2>1 && x28_1>-1 && x27_1>-1 && arg1>0 && 9+x28_1*x27_1>=1 ], cost: 10+x28_1*x27_1 10: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_11, arg2'=-1+arg1, arg3'=arg3P_11, [ arg1P_11>4 && arg1>1 ], cost: 1 11: f193_0__init__LE -> f518_0__init__InvokeMethod : arg1'=arg1P_12, arg2'=-1+arg1, arg3'=arg3P_12, [ arg1P_12>3 && arg1>1 ], cost: 1 12: f518_0__init__InvokeMethod -> f193_0__init__LE : arg1'=arg2, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1>2 && arg2>0 ], cost: 1 23: f518_0__init__InvokeMethod -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1>2 && -1+arg2>=1 ], cost: arg2 18: __init -> f1_0_main_Load : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 36: f193_0__init__LE -> f193_0__init__LE : arg1'=-1+arg1, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1P_11>4 && arg1>1 ], cost: 2 37: f193_0__init__LE -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_11>4 && -2+arg1>=1 ], cost: arg1 38: f193_0__init__LE -> f193_0__init__LE : arg1'=-1+arg1, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1P_12>3 && arg1>1 ], cost: 2 39: f193_0__init__LE -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_12>3 && -2+arg1>=1 ], cost: arg1 30: __init -> f193_0__init__LE : arg1'=10, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1P_19>0 && 0==arg2P_19 ], cost: 2 31: __init -> f193_0__init__LE : arg1'=10, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1P_19>0 && 1==arg2P_19 ], cost: 2 32: __init -> f193_0__init__LE : arg1'=10+x28_1*x27_1, arg2'=arg2P_9, arg3'=arg3P_9, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 ], cost: 2 33: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_19>0 && 0==arg2P_19 ], cost: 11 34: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_19>0 && 1==arg2P_19 ], cost: 11 35: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 && 9+x28_1*x27_1>=1 ], cost: 11+x28_1*x27_1 Applied pruning (of leafs and parallel rules): Start location: __init 36: f193_0__init__LE -> f193_0__init__LE : arg1'=-1+arg1, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1P_11>4 && arg1>1 ], cost: 2 37: f193_0__init__LE -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_11>4 && -2+arg1>=1 ], cost: arg1 38: f193_0__init__LE -> f193_0__init__LE : arg1'=-1+arg1, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1P_12>3 && arg1>1 ], cost: 2 39: f193_0__init__LE -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_12>3 && -2+arg1>=1 ], cost: arg1 30: __init -> f193_0__init__LE : arg1'=10, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1P_19>0 && 0==arg2P_19 ], cost: 2 31: __init -> f193_0__init__LE : arg1'=10, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1P_19>0 && 1==arg2P_19 ], cost: 2 32: __init -> f193_0__init__LE : arg1'=10+x28_1*x27_1, arg2'=arg2P_9, arg3'=arg3P_9, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 ], cost: 2 33: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_19>0 && 0==arg2P_19 ], cost: 11 35: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 && 9+x28_1*x27_1>=1 ], cost: 11+x28_1*x27_1 Accelerating simple loops of location 4. [accelerate] Removed some duplicate simple loops Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 38: f193_0__init__LE -> f193_0__init__LE : arg1'=-1+arg1, arg2'=arg2P_13, arg3'=arg3P_13, [ arg1>1 ], cost: 2 39: f193_0__init__LE -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ -2+arg1>=1 ], cost: arg1 Accelerated rule 38 with backward acceleration, yielding the new rule 40. Failed to prove monotonicity of the guard of rule 39. [accelerate] Nesting with 2 inner and 2 outer candidates Removing the simple loops: 38. Accelerated all simple loops using metering functions (where possible): Start location: __init 39: f193_0__init__LE -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ -2+arg1>=1 ], cost: arg1 40: f193_0__init__LE -> f193_0__init__LE : arg1'=1, arg2'=arg2P_13, arg3'=arg3P_13, [ -1+arg1>=1 ], cost: -2+2*arg1 30: __init -> f193_0__init__LE : arg1'=10, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1P_19>0 && 0==arg2P_19 ], cost: 2 31: __init -> f193_0__init__LE : arg1'=10, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1P_19>0 && 1==arg2P_19 ], cost: 2 32: __init -> f193_0__init__LE : arg1'=10+x28_1*x27_1, arg2'=arg2P_9, arg3'=arg3P_9, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 ], cost: 2 33: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_19>0 && 0==arg2P_19 ], cost: 11 35: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 && 9+x28_1*x27_1>=1 ], cost: 11+x28_1*x27_1 Chained accelerated rules (with incoming rules): Start location: __init 30: __init -> f193_0__init__LE : arg1'=10, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1P_19>0 && 0==arg2P_19 ], cost: 2 31: __init -> f193_0__init__LE : arg1'=10, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1P_19>0 && 1==arg2P_19 ], cost: 2 32: __init -> f193_0__init__LE : arg1'=10+x28_1*x27_1, arg2'=arg2P_9, arg3'=arg3P_9, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 ], cost: 2 33: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg1P_19>0 && 0==arg2P_19 ], cost: 11 35: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 && 9+x28_1*x27_1>=1 ], cost: 11+x28_1*x27_1 41: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [], cost: 12 42: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [], cost: 12 43: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ x28_1>-1 && x27_1>-1 && 8+x28_1*x27_1>=1 ], cost: 12+x28_1*x27_1 44: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_13, arg3'=arg3P_13, [], cost: 20 45: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_13, arg3'=arg3P_13, [], cost: 20 46: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_13, arg3'=arg3P_13, [ x28_1>-1 && x27_1>-1 && 9+x28_1*x27_1>=1 ], cost: 20+2*x28_1*x27_1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 35: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 && 9+x28_1*x27_1>=1 ], cost: 11+x28_1*x27_1 43: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ x28_1>-1 && x27_1>-1 && 8+x28_1*x27_1>=1 ], cost: 12+x28_1*x27_1 46: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_13, arg3'=arg3P_13, [ x28_1>-1 && x27_1>-1 && 9+x28_1*x27_1>=1 ], cost: 20+2*x28_1*x27_1 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 35: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2P_19>1 && x28_1>-1 && x27_1>-1 && arg1P_19>0 && 9+x28_1*x27_1>=1 ], cost: 11+x28_1*x27_1 43: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_10, arg3'=arg3P_10, [ x28_1>-1 && x27_1>-1 && 8+x28_1*x27_1>=1 ], cost: 12+x28_1*x27_1 46: __init -> f193_0__init__LE : arg1'=1, arg2'=arg2P_13, arg3'=arg3P_13, [ x28_1>-1 && x27_1>-1 && 9+x28_1*x27_1>=1 ], cost: 20+2*x28_1*x27_1 Computing asymptotic complexity for rule 43 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 46 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 35 Resulting cost 0 has complexity: Unknown Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [] WORST_CASE(Omega(1),?)