TSTP Solution File: SYN422+1 by iProver-SAT---3.8

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%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : SYN422+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:16:48 EDT 2023

% Result   : CounterSatisfiable 6.46s 1.65s
% Output   : Model 6.46s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of c1_1 
fof(lit_def,axiom,
    ! [X0] :
      ( c1_1(X0)
    <=> ( X0 = a663
        | X0 = a625
        | X0 = a621 ) ) ).

%------ Positive definition of sP51 
fof(lit_def_001,axiom,
    ( sP51
  <=> $true ) ).

%------ Positive definition of c10_1 
fof(lit_def_002,axiom,
    ! [X0] :
      ( c10_1(X0)
    <=> ( X0 = a757
        | X0 = a633 ) ) ).

%------ Negative definition of c5_1 
fof(lit_def_003,axiom,
    ! [X0] :
      ( ~ c5_1(X0)
    <=> ( X0 = a721
        | X0 = a609
        | X0 = a708
        | X0 = a651 ) ) ).

%------ Positive definition of ndr1_0 
fof(lit_def_004,axiom,
    ( ndr1_0
  <=> $true ) ).

%------ Negative definition of c2_2 
fof(lit_def_005,axiom,
    ! [X0,X1] :
      ( ~ c2_2(X0,X1)
    <=> $false ) ).

%------ Positive definition of c8_2 
fof(lit_def_006,axiom,
    ! [X0,X1] :
      ( c8_2(X0,X1)
    <=> ( ( X0 = a679
          & X1 = a680 )
        | ( X0 = a639
          & X1 = a640 ) ) ) ).

%------ Positive definition of c9_2 
fof(lit_def_007,axiom,
    ! [X0,X1] :
      ( c9_2(X0,X1)
    <=> ( ( X0 = a721
          & X1 = a727 )
        | ( X0 = a703
          & X1 = a727 )
        | ( X0 = a679
          & X1 = a680 )
        | ( X0 = a679
          & X1 = a747 )
        | ( X0 = a698
          & X1 = a747 )
        | ( X0 = a633
          & X1 = a634 ) ) ) ).

%------ Negative definition of c6_2 
fof(lit_def_008,axiom,
    ! [X0,X1] :
      ( ~ c6_2(X0,X1)
    <=> X1 = a727 ) ).

%------ Positive definition of ndr1_1 
fof(lit_def_009,axiom,
    ! [X0] :
      ( ndr1_1(X0)
    <=> ( X0 = a753
        | X0 = a734
        | X0 = a721
        | X0 = a703
        | X0 = a686
        | X0 = a679
        | X0 = a625
        | X0 = a611
        | X0 = a698
        | X0 = a639
        | X0 = a633 ) ) ).

%------ Positive definition of c7_1 
fof(lit_def_010,axiom,
    ! [X0] :
      ( c7_1(X0)
    <=> ( X0 = a663
        | X0 = a658 ) ) ).

%------ Positive definition of sP50 
fof(lit_def_011,axiom,
    ( sP50
  <=> $false ) ).

%------ Positive definition of c3_2 
fof(lit_def_012,axiom,
    ! [X0,X1] :
      ( c3_2(X0,X1)
    <=> ( X0 = a625
        & X1 = a626 ) ) ).

%------ Negative definition of c4_2 
fof(lit_def_013,axiom,
    ! [X0,X1] :
      ( ~ c4_2(X0,X1)
    <=> ( X0 = a753
        | ( X0 = a753
          & X1 = a754 )
        | X1 = a748 ) ) ).

%------ Positive definition of sP49 
fof(lit_def_014,axiom,
    ( sP49
  <=> $true ) ).

%------ Positive definition of c10_2 
fof(lit_def_015,axiom,
    ! [X0,X1] :
      ( c10_2(X0,X1)
    <=> ( ( X0 = a753
          & X1 = a754 )
        | ( X0 = a734
          & X1 = a735 ) ) ) ).

%------ Positive definition of c1_2 
fof(lit_def_016,axiom,
    ! [X0,X1] :
      ( c1_2(X0,X1)
    <=> ( ( X0 = a734
          & X1 = a736 )
        | ( X0 = a679
          & X1 = a681 )
        | ( X0 = a698
          & X1 = a699 ) ) ) ).

%------ Positive definition of c9_1 
fof(lit_def_017,axiom,
    ! [X0] :
      ( c9_1(X0)
    <=> ( X0 = a670
        | X0 = a617
        | X0 = a698 ) ) ).

%------ Negative definition of c5_2 
fof(lit_def_018,axiom,
    ! [X0,X1] :
      ( ~ c5_2(X0,X1)
    <=> ( ( X0 = a679
          & X1 = a681 )
        | ( X0 = a698
          & X1 = a699 ) ) ) ).

%------ Negative definition of c8_1 
fof(lit_def_019,axiom,
    ! [X0] :
      ( ~ c8_1(X0)
    <=> ( X0 = a609
        | X0 = a639 ) ) ).

%------ Positive definition of sP48 
fof(lit_def_020,axiom,
    ( sP48
  <=> $true ) ).

%------ Positive definition of sP47 
fof(lit_def_021,axiom,
    ! [X0] :
      ( sP47(X0)
    <=> $false ) ).

%------ Positive definition of c7_2 
fof(lit_def_022,axiom,
    ! [X0,X1] :
      ( c7_2(X0,X1)
    <=> $false ) ).

%------ Positive definition of sP46 
fof(lit_def_023,axiom,
    ( sP46
  <=> $false ) ).

%------ Positive definition of sP45 
fof(lit_def_024,axiom,
    ! [X0] :
      ( sP45(X0)
    <=> $false ) ).

%------ Positive definition of sP44 
fof(lit_def_025,axiom,
    ( sP44
  <=> $false ) ).

%------ Positive definition of c2_1 
fof(lit_def_026,axiom,
    ! [X0] :
      ( c2_1(X0)
    <=> ( X0 = a753
        | X0 = a734
        | X0 = a698
        | X0 = a655 ) ) ).

%------ Positive definition of sP43 
fof(lit_def_027,axiom,
    ( sP43
  <=> $true ) ).

%------ Positive definition of sP42 
fof(lit_def_028,axiom,
    ( sP42
  <=> $true ) ).

%------ Positive definition of c4_1 
fof(lit_def_029,axiom,
    ! [X0] :
      ( c4_1(X0)
    <=> ( X0 = a721
        | X0 = a703 ) ) ).

%------ Positive definition of sP41 
fof(lit_def_030,axiom,
    ! [X0] :
      ( sP41(X0)
    <=> $false ) ).

%------ Negative definition of c3_1 
fof(lit_def_031,axiom,
    ! [X0] :
      ( ~ c3_1(X0)
    <=> ( X0 = a705
        | X0 = a670
        | X0 = a621 ) ) ).

%------ Positive definition of sP40 
fof(lit_def_032,axiom,
    ( sP40
  <=> $false ) ).

%------ Positive definition of sP39 
fof(lit_def_033,axiom,
    ( sP39
  <=> $true ) ).

%------ Positive definition of c6_1 
fof(lit_def_034,axiom,
    ! [X0] :
      ( c6_1(X0)
    <=> X0 = a756 ) ).

%------ Positive definition of sP38 
fof(lit_def_035,axiom,
    ( sP38
  <=> $false ) ).

%------ Positive definition of sP35 
fof(lit_def_036,axiom,
    ! [X0] :
      ( sP35(X0)
    <=> $false ) ).

%------ Positive definition of sP37 
fof(lit_def_037,axiom,
    ( sP37
  <=> $false ) ).

%------ Positive definition of sP36 
fof(lit_def_038,axiom,
    ( sP36
  <=> $true ) ).

%------ Positive definition of sP34 
fof(lit_def_039,axiom,
    ! [X0] :
      ( sP34(X0)
    <=> $false ) ).

%------ Positive definition of sP32 
fof(lit_def_040,axiom,
    ! [X0] :
      ( sP32(X0)
    <=> $false ) ).

%------ Positive definition of sP33 
fof(lit_def_041,axiom,
    ( sP33
  <=> $false ) ).

%------ Positive definition of sP31 
fof(lit_def_042,axiom,
    ( sP31
  <=> $false ) ).

%------ Positive definition of sP30 
fof(lit_def_043,axiom,
    ( sP30
  <=> $true ) ).

%------ Positive definition of sP29 
fof(lit_def_044,axiom,
    ( sP29
  <=> $true ) ).

%------ Positive definition of sP28 
fof(lit_def_045,axiom,
    ( sP28
  <=> $false ) ).

%------ Positive definition of sP27 
fof(lit_def_046,axiom,
    ( sP27
  <=> $false ) ).

%------ Positive definition of sP26 
fof(lit_def_047,axiom,
    ( sP26
  <=> $false ) ).

%------ Positive definition of sP25 
fof(lit_def_048,axiom,
    ( sP25
  <=> $true ) ).

%------ Positive definition of sP24 
fof(lit_def_049,axiom,
    ! [X0] :
      ( sP24(X0)
    <=> $false ) ).

%------ Positive definition of sP23 
fof(lit_def_050,axiom,
    ! [X0] :
      ( sP23(X0)
    <=> $false ) ).

%------ Positive definition of sP21 
fof(lit_def_051,axiom,
    ! [X0] :
      ( sP21(X0)
    <=> $false ) ).

%------ Positive definition of sP20 
fof(lit_def_052,axiom,
    ! [X0] :
      ( sP20(X0)
    <=> $false ) ).

%------ Positive definition of sP19 
fof(lit_def_053,axiom,
    ( sP19
  <=> $true ) ).

%------ Positive definition of sP18 
fof(lit_def_054,axiom,
    ( sP18
  <=> $false ) ).

%------ Positive definition of sP17 
fof(lit_def_055,axiom,
    ( sP17
  <=> $true ) ).

%------ Positive definition of sP16 
fof(lit_def_056,axiom,
    ( sP16
  <=> $true ) ).

%------ Positive definition of sP15 
fof(lit_def_057,axiom,
    ( sP15
  <=> $true ) ).

%------ Positive definition of sP14 
fof(lit_def_058,axiom,
    ! [X0] :
      ( sP14(X0)
    <=> $false ) ).

%------ Positive definition of sP13 
fof(lit_def_059,axiom,
    ( sP13
  <=> $false ) ).

%------ Positive definition of sP12 
fof(lit_def_060,axiom,
    ( sP12
  <=> $false ) ).

%------ Positive definition of sP11 
fof(lit_def_061,axiom,
    ( sP11
  <=> $false ) ).

%------ Positive definition of sP9 
fof(lit_def_062,axiom,
    ( sP9
  <=> $false ) ).

%------ Positive definition of sP8 
fof(lit_def_063,axiom,
    ! [X0] :
      ( sP8(X0)
    <=> $false ) ).

%------ Positive definition of sP7 
fof(lit_def_064,axiom,
    ( sP7
  <=> $false ) ).

%------ Positive definition of sP6 
fof(lit_def_065,axiom,
    ( sP6
  <=> $false ) ).

%------ Positive definition of sP4 
fof(lit_def_066,axiom,
    ( sP4
  <=> $false ) ).

%------ Positive definition of sP3 
fof(lit_def_067,axiom,
    ( sP3
  <=> $true ) ).

%------ Positive definition of sP1 
fof(lit_def_068,axiom,
    ( sP1
  <=> $true ) ).

%------ Positive definition of sP0 
fof(lit_def_069,axiom,
    ( sP0
  <=> $true ) ).

%------ Positive definition of c7_0 
fof(lit_def_070,axiom,
    ( c7_0
  <=> $false ) ).

%------ Positive definition of c1_0 
fof(lit_def_071,axiom,
    ( c1_0
  <=> $false ) ).

%------ Positive definition of c10_0 
fof(lit_def_072,axiom,
    ( c10_0
  <=> $true ) ).

%------ Positive definition of c6_0 
fof(lit_def_073,axiom,
    ( c6_0
  <=> $false ) ).

%------ Positive definition of c4_0 
fof(lit_def_074,axiom,
    ( c4_0
  <=> $true ) ).

%------ Positive definition of c9_0 
fof(lit_def_075,axiom,
    ( c9_0
  <=> $true ) ).

%------ Positive definition of c5_0 
fof(lit_def_076,axiom,
    ( c5_0
  <=> $false ) ).

%------ Positive definition of c3_0 
fof(lit_def_077,axiom,
    ( c3_0
  <=> $true ) ).

%------ Positive definition of sP0_iProver_split 
fof(lit_def_078,axiom,
    ( sP0_iProver_split
  <=> $false ) ).

%------ Positive definition of sP1_iProver_split 
fof(lit_def_079,axiom,
    ( sP1_iProver_split
  <=> $false ) ).

%------ Positive definition of sP2_iProver_split 
fof(lit_def_080,axiom,
    ( sP2_iProver_split
  <=> $false ) ).

%------ Positive definition of sP3_iProver_split 
fof(lit_def_081,axiom,
    ( sP3_iProver_split
  <=> $false ) ).

%------ Positive definition of sP4_iProver_split 
fof(lit_def_082,axiom,
    ( sP4_iProver_split
  <=> $false ) ).

%------ Positive definition of sP5_iProver_split 
fof(lit_def_083,axiom,
    ( sP5_iProver_split
  <=> $false ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_084,axiom,
    ( sP6_iProver_split
  <=> $false ) ).

%------ Positive definition of sP7_iProver_split 
fof(lit_def_085,axiom,
    ( sP7_iProver_split
  <=> $false ) ).

%------ Positive definition of sP8_iProver_split 
fof(lit_def_086,axiom,
    ( sP8_iProver_split
  <=> $false ) ).

%------ Positive definition of sP9_iProver_split 
fof(lit_def_087,axiom,
    ( sP9_iProver_split
  <=> $false ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_088,axiom,
    ( sP10_iProver_split
  <=> $false ) ).

%------ Positive definition of sP11_iProver_split 
fof(lit_def_089,axiom,
    ( sP11_iProver_split
  <=> $false ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_090,axiom,
    ( sP12_iProver_split
  <=> $false ) ).

%------ Positive definition of sP13_iProver_split 
fof(lit_def_091,axiom,
    ( sP13_iProver_split
  <=> $false ) ).

%------ Positive definition of sP14_iProver_split 
fof(lit_def_092,axiom,
    ( sP14_iProver_split
  <=> $false ) ).

%------ Positive definition of sP15_iProver_split 
fof(lit_def_093,axiom,
    ( sP15_iProver_split
  <=> $true ) ).

%------ Positive definition of sP16_iProver_split 
fof(lit_def_094,axiom,
    ( sP16_iProver_split
  <=> $true ) ).

%------ Positive definition of sP17_iProver_split 
fof(lit_def_095,axiom,
    ( sP17_iProver_split
  <=> $false ) ).

%------ Positive definition of sP18_iProver_split 
fof(lit_def_096,axiom,
    ( sP18_iProver_split
  <=> $false ) ).

%------ Positive definition of sP19_iProver_split 
fof(lit_def_097,axiom,
    ( sP19_iProver_split
  <=> $false ) ).

%------ Positive definition of sP20_iProver_split 
fof(lit_def_098,axiom,
    ( sP20_iProver_split
  <=> $false ) ).

%------ Positive definition of sP21_iProver_split 
fof(lit_def_099,axiom,
    ( sP21_iProver_split
  <=> $false ) ).

%------ Positive definition of sP22_iProver_split 
fof(lit_def_100,axiom,
    ( sP22_iProver_split
  <=> $false ) ).

%------ Positive definition of sP23_iProver_split 
fof(lit_def_101,axiom,
    ( sP23_iProver_split
  <=> $false ) ).

%------ Positive definition of sP24_iProver_split 
fof(lit_def_102,axiom,
    ( sP24_iProver_split
  <=> $false ) ).

%------ Positive definition of sP25_iProver_split 
fof(lit_def_103,axiom,
    ( sP25_iProver_split
  <=> $false ) ).

%------ Positive definition of sP26_iProver_split 
fof(lit_def_104,axiom,
    ( sP26_iProver_split
  <=> $false ) ).

%------ Positive definition of sP27_iProver_split 
fof(lit_def_105,axiom,
    ( sP27_iProver_split
  <=> $false ) ).

%------ Positive definition of sP28_iProver_split 
fof(lit_def_106,axiom,
    ( sP28_iProver_split
  <=> $false ) ).

%------ Positive definition of sP29_iProver_split 
fof(lit_def_107,axiom,
    ( sP29_iProver_split
  <=> $false ) ).

%------ Positive definition of sP30_iProver_split 
fof(lit_def_108,axiom,
    ( sP30_iProver_split
  <=> $false ) ).

%------ Positive definition of sP31_iProver_split 
fof(lit_def_109,axiom,
    ( sP31_iProver_split
  <=> $false ) ).

%------ Positive definition of sP32_iProver_split 
fof(lit_def_110,axiom,
    ( sP32_iProver_split
  <=> $false ) ).

%------ Positive definition of sP33_iProver_split 
fof(lit_def_111,axiom,
    ( sP33_iProver_split
  <=> $false ) ).

%------ Positive definition of sP34_iProver_split 
fof(lit_def_112,axiom,
    ( sP34_iProver_split
  <=> $false ) ).

%------ Positive definition of sP35_iProver_split 
fof(lit_def_113,axiom,
    ( sP35_iProver_split
  <=> $false ) ).

%------ Positive definition of sP36_iProver_split 
fof(lit_def_114,axiom,
    ( sP36_iProver_split
  <=> $false ) ).

%------ Positive definition of sP37_iProver_split 
fof(lit_def_115,axiom,
    ( sP37_iProver_split
  <=> $false ) ).

%------ Positive definition of sP38_iProver_split 
fof(lit_def_116,axiom,
    ( sP38_iProver_split
  <=> $false ) ).

%------ Positive definition of sP39_iProver_split 
fof(lit_def_117,axiom,
    ( sP39_iProver_split
  <=> $false ) ).

%------ Positive definition of sP40_iProver_split 
fof(lit_def_118,axiom,
    ( sP40_iProver_split
  <=> $false ) ).

%------ Positive definition of sP41_iProver_split 
fof(lit_def_119,axiom,
    ( sP41_iProver_split
  <=> $false ) ).

%------ Positive definition of sP42_iProver_split 
fof(lit_def_120,axiom,
    ( sP42_iProver_split
  <=> $false ) ).

%------ Positive definition of sP43_iProver_split 
fof(lit_def_121,axiom,
    ( sP43_iProver_split
  <=> $false ) ).

%------ Positive definition of sP44_iProver_split 
fof(lit_def_122,axiom,
    ( sP44_iProver_split
  <=> $false ) ).

%------ Positive definition of sP45_iProver_split 
fof(lit_def_123,axiom,
    ( sP45_iProver_split
  <=> $false ) ).

%------ Positive definition of sP46_iProver_split 
fof(lit_def_124,axiom,
    ( sP46_iProver_split
  <=> $false ) ).

%------ Positive definition of sP47_iProver_split 
fof(lit_def_125,axiom,
    ( sP47_iProver_split
  <=> $false ) ).

%------ Positive definition of sP48_iProver_split 
fof(lit_def_126,axiom,
    ( sP48_iProver_split
  <=> $false ) ).

%------ Positive definition of sP49_iProver_split 
fof(lit_def_127,axiom,
    ( sP49_iProver_split
  <=> $false ) ).

%------ Positive definition of sP50_iProver_split 
fof(lit_def_128,axiom,
    ( sP50_iProver_split
  <=> $false ) ).

%------ Positive definition of sP51_iProver_split 
fof(lit_def_129,axiom,
    ( sP51_iProver_split
  <=> $false ) ).

%------ Positive definition of sP52_iProver_split 
fof(lit_def_130,axiom,
    ( sP52_iProver_split
  <=> $false ) ).

%------ Positive definition of sP53_iProver_split 
fof(lit_def_131,axiom,
    ( sP53_iProver_split
  <=> $false ) ).

%------ Positive definition of sP54_iProver_split 
fof(lit_def_132,axiom,
    ( sP54_iProver_split
  <=> $false ) ).

%------ Positive definition of sP55_iProver_split 
fof(lit_def_133,axiom,
    ( sP55_iProver_split
  <=> $false ) ).

%------ Positive definition of sP56_iProver_split 
fof(lit_def_134,axiom,
    ( sP56_iProver_split
  <=> $true ) ).

%------ Positive definition of sP57_iProver_split 
fof(lit_def_135,axiom,
    ( sP57_iProver_split
  <=> $false ) ).

%------ Positive definition of sP58_iProver_split 
fof(lit_def_136,axiom,
    ( sP58_iProver_split
  <=> $false ) ).

%------ Positive definition of sP59_iProver_split 
fof(lit_def_137,axiom,
    ( sP59_iProver_split
  <=> $false ) ).

%------ Positive definition of sP60_iProver_split 
fof(lit_def_138,axiom,
    ( sP60_iProver_split
  <=> $false ) ).

%------ Positive definition of sP61_iProver_split 
fof(lit_def_139,axiom,
    ( sP61_iProver_split
  <=> $false ) ).

%------ Positive definition of sP62_iProver_split 
fof(lit_def_140,axiom,
    ( sP62_iProver_split
  <=> $false ) ).

%------ Positive definition of sP63_iProver_split 
fof(lit_def_141,axiom,
    ( sP63_iProver_split
  <=> $false ) ).

%------ Positive definition of sP64_iProver_split 
fof(lit_def_142,axiom,
    ( sP64_iProver_split
  <=> $true ) ).

%------ Positive definition of sP65_iProver_split 
fof(lit_def_143,axiom,
    ( sP65_iProver_split
  <=> $false ) ).

%------ Positive definition of sP66_iProver_split 
fof(lit_def_144,axiom,
    ( sP66_iProver_split
  <=> $false ) ).

%------ Positive definition of sP67_iProver_split 
fof(lit_def_145,axiom,
    ( sP67_iProver_split
  <=> $false ) ).

%------ Positive definition of sP68_iProver_split 
fof(lit_def_146,axiom,
    ( sP68_iProver_split
  <=> $false ) ).

%------ Positive definition of sP69_iProver_split 
fof(lit_def_147,axiom,
    ( sP69_iProver_split
  <=> $false ) ).

%------ Positive definition of sP70_iProver_split 
fof(lit_def_148,axiom,
    ( sP70_iProver_split
  <=> $false ) ).

%------ Positive definition of sP71_iProver_split 
fof(lit_def_149,axiom,
    ( sP71_iProver_split
  <=> $false ) ).

%------ Positive definition of sP72_iProver_split 
fof(lit_def_150,axiom,
    ( sP72_iProver_split
  <=> $false ) ).

%------ Positive definition of sP73_iProver_split 
fof(lit_def_151,axiom,
    ( sP73_iProver_split
  <=> $false ) ).

%------ Positive definition of sP74_iProver_split 
fof(lit_def_152,axiom,
    ( sP74_iProver_split
  <=> $false ) ).

%------ Positive definition of sP75_iProver_split 
fof(lit_def_153,axiom,
    ( sP75_iProver_split
  <=> $false ) ).

%------ Positive definition of sP76_iProver_split 
fof(lit_def_154,axiom,
    ( sP76_iProver_split
  <=> $false ) ).

%------ Positive definition of sP77_iProver_split 
fof(lit_def_155,axiom,
    ( sP77_iProver_split
  <=> $false ) ).

%------ Positive definition of sP78_iProver_split 
fof(lit_def_156,axiom,
    ( sP78_iProver_split
  <=> $false ) ).

%------ Positive definition of sP79_iProver_split 
fof(lit_def_157,axiom,
    ( sP79_iProver_split
  <=> $false ) ).

%------ Positive definition of sP80_iProver_split 
fof(lit_def_158,axiom,
    ( sP80_iProver_split
  <=> $false ) ).

%------ Positive definition of sP81_iProver_split 
fof(lit_def_159,axiom,
    ( sP81_iProver_split
  <=> $false ) ).

%------ Positive definition of sP82_iProver_split 
fof(lit_def_160,axiom,
    ( sP82_iProver_split
  <=> $false ) ).

%------ Positive definition of sP83_iProver_split 
fof(lit_def_161,axiom,
    ( sP83_iProver_split
  <=> $false ) ).

%------ Positive definition of sP84_iProver_split 
fof(lit_def_162,axiom,
    ( sP84_iProver_split
  <=> $false ) ).

%------ Positive definition of sP85_iProver_split 
fof(lit_def_163,axiom,
    ( sP85_iProver_split
  <=> $false ) ).

%------ Positive definition of sP86_iProver_split 
fof(lit_def_164,axiom,
    ( sP86_iProver_split
  <=> $false ) ).

%------ Positive definition of sP87_iProver_split 
fof(lit_def_165,axiom,
    ( sP87_iProver_split
  <=> $false ) ).

%------ Positive definition of sP88_iProver_split 
fof(lit_def_166,axiom,
    ( sP88_iProver_split
  <=> $false ) ).

%------ Positive definition of sP89_iProver_split 
fof(lit_def_167,axiom,
    ( sP89_iProver_split
  <=> $false ) ).

%------ Positive definition of sP90_iProver_split 
fof(lit_def_168,axiom,
    ( sP90_iProver_split
  <=> $false ) ).

%------ Positive definition of sP91_iProver_split 
fof(lit_def_169,axiom,
    ( sP91_iProver_split
  <=> $false ) ).

%------ Positive definition of sP92_iProver_split 
fof(lit_def_170,axiom,
    ( sP92_iProver_split
  <=> $false ) ).

%------ Positive definition of sP93_iProver_split 
fof(lit_def_171,axiom,
    ( sP93_iProver_split
  <=> $false ) ).

%------ Positive definition of sP94_iProver_split 
fof(lit_def_172,axiom,
    ( sP94_iProver_split
  <=> $false ) ).

%------ Positive definition of sP95_iProver_split 
fof(lit_def_173,axiom,
    ( sP95_iProver_split
  <=> $false ) ).

%------ Positive definition of sP96_iProver_split 
fof(lit_def_174,axiom,
    ( sP96_iProver_split
  <=> $false ) ).

%------ Positive definition of sP97_iProver_split 
fof(lit_def_175,axiom,
    ( sP97_iProver_split
  <=> $false ) ).

%------ Positive definition of sP98_iProver_split 
fof(lit_def_176,axiom,
    ( sP98_iProver_split
  <=> $false ) ).

%------ Positive definition of sP99_iProver_split 
fof(lit_def_177,axiom,
    ( sP99_iProver_split
  <=> $false ) ).

%------ Positive definition of sP100_iProver_split 
fof(lit_def_178,axiom,
    ( sP100_iProver_split
  <=> $false ) ).

%------ Positive definition of sP101_iProver_split 
fof(lit_def_179,axiom,
    ( sP101_iProver_split
  <=> $false ) ).

%------ Positive definition of sP102_iProver_split 
fof(lit_def_180,axiom,
    ( sP102_iProver_split
  <=> $false ) ).

%------ Positive definition of sP103_iProver_split 
fof(lit_def_181,axiom,
    ( sP103_iProver_split
  <=> $false ) ).

%------ Positive definition of sP104_iProver_split 
fof(lit_def_182,axiom,
    ( sP104_iProver_split
  <=> $false ) ).

%------ Positive definition of sP105_iProver_split 
fof(lit_def_183,axiom,
    ( sP105_iProver_split
  <=> $false ) ).

%------ Positive definition of sP106_iProver_split 
fof(lit_def_184,axiom,
    ( sP106_iProver_split
  <=> $false ) ).

%------ Positive definition of sP107_iProver_split 
fof(lit_def_185,axiom,
    ( sP107_iProver_split
  <=> $false ) ).

%------ Positive definition of sP108_iProver_split 
fof(lit_def_186,axiom,
    ( sP108_iProver_split
  <=> $false ) ).

%------ Positive definition of sP109_iProver_split 
fof(lit_def_187,axiom,
    ( sP109_iProver_split
  <=> $false ) ).

%------ Positive definition of sP110_iProver_split 
fof(lit_def_188,axiom,
    ( sP110_iProver_split
  <=> $false ) ).

%------ Positive definition of sP111_iProver_split 
fof(lit_def_189,axiom,
    ( sP111_iProver_split
  <=> $false ) ).

%------ Positive definition of sP112_iProver_split 
fof(lit_def_190,axiom,
    ( sP112_iProver_split
  <=> $false ) ).

%------ Positive definition of sP113_iProver_split 
fof(lit_def_191,axiom,
    ( sP113_iProver_split
  <=> $false ) ).

%------ Positive definition of sP114_iProver_split 
fof(lit_def_192,axiom,
    ( sP114_iProver_split
  <=> $false ) ).

%------ Positive definition of sP115_iProver_split 
fof(lit_def_193,axiom,
    ( sP115_iProver_split
  <=> $false ) ).

%------ Positive definition of sP116_iProver_split 
fof(lit_def_194,axiom,
    ( sP116_iProver_split
  <=> $false ) ).

%------ Positive definition of sP117_iProver_split 
fof(lit_def_195,axiom,
    ( sP117_iProver_split
  <=> $false ) ).

%------ Positive definition of sP118_iProver_split 
fof(lit_def_196,axiom,
    ( sP118_iProver_split
  <=> $false ) ).

%------ Positive definition of sP119_iProver_split 
fof(lit_def_197,axiom,
    ( sP119_iProver_split
  <=> $false ) ).

%------ Positive definition of sP120_iProver_split 
fof(lit_def_198,axiom,
    ( sP120_iProver_split
  <=> $false ) ).

%------ Positive definition of sP121_iProver_split 
fof(lit_def_199,axiom,
    ( sP121_iProver_split
  <=> $false ) ).

%------ Positive definition of sP122_iProver_split 
fof(lit_def_200,axiom,
    ( sP122_iProver_split
  <=> $false ) ).

%------ Positive definition of sP123_iProver_split 
fof(lit_def_201,axiom,
    ( sP123_iProver_split
  <=> $false ) ).

%------ Positive definition of sP124_iProver_split 
fof(lit_def_202,axiom,
    ( sP124_iProver_split
  <=> $false ) ).

%------ Positive definition of sP125_iProver_split 
fof(lit_def_203,axiom,
    ( sP125_iProver_split
  <=> $false ) ).

%------ Positive definition of sP126_iProver_split 
fof(lit_def_204,axiom,
    ( sP126_iProver_split
  <=> $false ) ).

%------ Positive definition of sP127_iProver_split 
fof(lit_def_205,axiom,
    ( sP127_iProver_split
  <=> $false ) ).

%------ Positive definition of sP128_iProver_split 
fof(lit_def_206,axiom,
    ( sP128_iProver_split
  <=> $false ) ).

%------ Positive definition of sP129_iProver_split 
fof(lit_def_207,axiom,
    ( sP129_iProver_split
  <=> $false ) ).

%------ Positive definition of sP130_iProver_split 
fof(lit_def_208,axiom,
    ( sP130_iProver_split
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN422+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d SAT
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 17:31:27 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.22/0.48  Running model finding
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.46/1.65  % SZS status Started for theBenchmark.p
% 6.46/1.65  % SZS status CounterSatisfiable for theBenchmark.p
% 6.46/1.65  
% 6.46/1.65  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.46/1.65  
% 6.46/1.65  ------  iProver source info
% 6.46/1.65  
% 6.46/1.65  git: date: 2023-05-31 18:12:56 +0000
% 6.46/1.65  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.46/1.65  git: non_committed_changes: false
% 6.46/1.65  git: last_make_outside_of_git: false
% 6.46/1.65  
% 6.46/1.65  ------ Parsing...
% 6.46/1.65  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 6.46/1.65  
% 6.46/1.65  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 6.46/1.65  
% 6.46/1.65  ------ Preprocessing... gs_s  sp: 184 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.46/1.65  ------ Proving...
% 6.46/1.65  ------ Problem Properties 
% 6.46/1.65  
% 6.46/1.65  
% 6.46/1.65  clauses                                 584
% 6.46/1.65  conjectures                             313
% 6.46/1.65  EPR                                     584
% 6.46/1.65  Horn                                    304
% 6.46/1.65  unary                                   0
% 6.46/1.65  binary                                  205
% 6.46/1.65  lits                                    1927
% 6.46/1.65  lits eq                                 0
% 6.46/1.65  fd_pure                                 0
% 6.46/1.65  fd_pseudo                               0
% 6.46/1.65  fd_cond                                 0
% 6.46/1.65  fd_pseudo_cond                          0
% 6.46/1.65  AC symbols                              0
% 6.46/1.65  
% 6.46/1.65  ------ Input Options Time Limit: Unbounded
% 6.46/1.65  
% 6.46/1.65  
% 6.46/1.65  ------ Finite Models:
% 6.46/1.65  
% 6.46/1.65  ------ lit_activity_flag true
% 6.46/1.65  
% 6.46/1.65  ------ 
% 6.46/1.65  Current options:
% 6.46/1.65  ------ 
% 6.46/1.65  
% 6.46/1.65  
% 6.46/1.65  
% 6.46/1.65  
% 6.46/1.65  ------ Proving...
% 6.46/1.65  
% 6.46/1.65  
% 6.46/1.65  % SZS status CounterSatisfiable for theBenchmark.p
% 6.46/1.65  
% 6.46/1.65  ------ Building Model...Done
% 6.46/1.65  
% 6.46/1.65  %------ The model is defined over ground terms (initial term algebra).
% 6.46/1.65  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 6.46/1.65  %------ where \phi is a formula over the term algebra.
% 6.46/1.65  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 6.46/1.65  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 6.46/1.65  %------ See help for --sat_out_model for different model outputs.
% 6.46/1.65  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 6.46/1.65  %------ where the first argument stands for the sort ($i in the unsorted case)
% 6.46/1.65  % SZS output start Model for theBenchmark.p
% See solution above
% 6.46/1.65  ------                               Statistics
% 6.46/1.65  
% 6.46/1.65  ------ Problem properties
% 6.46/1.65  
% 6.46/1.65  clauses:                                584
% 6.46/1.65  conjectures:                            313
% 6.46/1.65  epr:                                    584
% 6.46/1.65  horn:                                   304
% 6.46/1.65  ground:                                 354
% 6.46/1.65  unary:                                  0
% 6.46/1.65  binary:                                 205
% 6.46/1.65  lits:                                   1927
% 6.46/1.65  lits_eq:                                0
% 6.46/1.65  fd_pure:                                0
% 6.46/1.65  fd_pseudo:                              0
% 6.46/1.65  fd_cond:                                0
% 6.46/1.65  fd_pseudo_cond:                         0
% 6.46/1.65  ac_symbols:                             0
% 6.46/1.65  
% 6.46/1.65  ------ General
% 6.46/1.65  
% 6.46/1.65  abstr_ref_over_cycles:                  0
% 6.46/1.65  abstr_ref_under_cycles:                 0
% 6.46/1.65  gc_basic_clause_elim:                   0
% 6.46/1.65  num_of_symbols:                         464
% 6.46/1.65  num_of_terms:                           3683
% 6.46/1.65  
% 6.46/1.65  parsing_time:                           0.041
% 6.46/1.65  unif_index_cands_time:                  0.
% 6.46/1.65  unif_index_add_time:                    0.
% 6.46/1.65  orderings_time:                         0.
% 6.46/1.65  out_proof_time:                         0.
% 6.46/1.65  total_time:                             1.
% 6.46/1.65  
% 6.46/1.65  ------ Preprocessing
% 6.46/1.65  
% 6.46/1.65  num_of_splits:                          184
% 6.46/1.65  num_of_split_atoms:                     131
% 6.46/1.65  num_of_reused_defs:                     53
% 6.46/1.65  num_eq_ax_congr_red:                    0
% 6.46/1.65  num_of_sem_filtered_clauses:            1
% 6.46/1.65  num_of_subtypes:                        0
% 6.46/1.65  monotx_restored_types:                  0
% 6.46/1.65  sat_num_of_epr_types:                   1
% 6.46/1.65  sat_num_of_non_cyclic_types:            1
% 6.46/1.65  sat_guarded_non_collapsed_types:        0
% 6.46/1.65  num_pure_diseq_elim:                    0
% 6.46/1.65  simp_replaced_by:                       0
% 6.46/1.65  res_preprocessed:                       0
% 6.46/1.65  sup_preprocessed:                       0
% 6.46/1.65  prep_upred:                             0
% 6.46/1.65  prep_unflattend:                        0
% 6.46/1.65  prep_well_definedness:                  0
% 6.46/1.65  smt_new_axioms:                         0
% 6.46/1.65  pred_elim_cands:                        79
% 6.46/1.65  pred_elim:                              4
% 6.46/1.65  pred_elim_cl:                           6
% 6.46/1.65  pred_elim_cycles:                       132
% 6.46/1.65  merged_defs:                            4
% 6.46/1.65  merged_defs_ncl:                        0
% 6.46/1.65  bin_hyper_res:                          41
% 6.46/1.65  prep_cycles:                            2
% 6.46/1.65  
% 6.46/1.65  splitting_time:                         0.002
% 6.46/1.65  sem_filter_time:                        0.016
% 6.46/1.65  monotx_time:                            0.
% 6.46/1.65  subtype_inf_time:                       0.
% 6.46/1.65  res_prep_time:                          0.22
% 6.46/1.65  sup_prep_time:                          0.
% 6.46/1.65  pred_elim_time:                         0.607
% 6.46/1.65  bin_hyper_res_time:                     0.004
% 6.46/1.65  prep_time_total:                        0.907
% 6.46/1.65  
% 6.46/1.65  ------ Propositional Solver
% 6.46/1.65  
% 6.46/1.65  prop_solver_calls:                      9
% 6.46/1.65  prop_fast_solver_calls:                 25263
% 6.46/1.65  smt_solver_calls:                       0
% 6.46/1.65  smt_fast_solver_calls:                  0
% 6.46/1.65  prop_num_of_clauses:                    3117
% 6.46/1.65  prop_preprocess_simplified:             18759
% 6.46/1.65  prop_fo_subsumed:                       453
% 6.46/1.65  
% 6.46/1.65  prop_solver_time:                       0.001
% 6.46/1.65  prop_fast_solver_time:                  0.035
% 6.46/1.65  prop_unsat_core_time:                   0.
% 6.46/1.65  smt_solver_time:                        0.
% 6.46/1.65  smt_fast_solver_time:                   0.
% 6.46/1.65  
% 6.46/1.65  ------ QBF
% 6.46/1.65  
% 6.46/1.65  qbf_q_res:                              0
% 6.46/1.65  qbf_num_tautologies:                    0
% 6.46/1.65  qbf_prep_cycles:                        0
% 6.46/1.65  
% 6.46/1.65  ------ BMC1
% 6.46/1.65  
% 6.46/1.65  bmc1_current_bound:                     -1
% 6.46/1.65  bmc1_last_solved_bound:                 -1
% 6.46/1.65  bmc1_unsat_core_size:                   -1
% 6.46/1.65  bmc1_unsat_core_parents_size:           -1
% 6.46/1.65  bmc1_merge_next_fun:                    0
% 6.46/1.65  
% 6.46/1.65  bmc1_unsat_core_clauses_time:           0.
% 6.46/1.65  
% 6.46/1.65  ------ Instantiation
% 6.46/1.65  
% 6.46/1.65  inst_num_of_clauses:                    610
% 6.46/1.65  inst_num_in_passive:                    0
% 6.46/1.65  inst_num_in_active:                     610
% 6.46/1.65  inst_num_of_loops:                      614
% 6.46/1.65  inst_num_in_unprocessed:                0
% 6.46/1.65  inst_num_of_learning_restarts:          0
% 6.46/1.65  inst_num_moves_active_passive:          0
% 6.46/1.65  inst_lit_activity:                      0
% 6.46/1.65  inst_lit_activity_moves:                0
% 6.46/1.65  inst_num_tautologies:                   0
% 6.46/1.65  inst_num_prop_implied:                  0
% 6.46/1.65  inst_num_existing_simplified:           0
% 6.46/1.65  inst_num_eq_res_simplified:             0
% 6.46/1.65  inst_num_child_elim:                    0
% 6.46/1.65  inst_num_of_dismatching_blockings:      0
% 6.46/1.65  inst_num_of_non_proper_insts:           21
% 6.46/1.65  inst_num_of_duplicates:                 0
% 6.46/1.65  inst_inst_num_from_inst_to_res:         0
% 6.46/1.65  
% 6.46/1.65  inst_time_sim_new:                      0.004
% 6.46/1.65  inst_time_sim_given:                    0.
% 6.46/1.65  inst_time_dismatching_checking:         0.
% 6.46/1.65  inst_time_total:                        0.011
% 6.46/1.65  
% 6.46/1.65  ------ Resolution
% 6.46/1.65  
% 6.46/1.65  res_num_of_clauses:                     453
% 6.46/1.65  res_num_in_passive:                     0
% 6.46/1.65  res_num_in_active:                      0
% 6.46/1.65  res_num_of_loops:                       915
% 6.46/1.65  res_forward_subset_subsumed:            20
% 6.46/1.65  res_backward_subset_subsumed:           0
% 6.46/1.65  res_forward_subsumed:                   60
% 6.46/1.65  res_backward_subsumed:                  1
% 6.46/1.65  res_forward_subsumption_resolution:     6
% 6.46/1.65  res_backward_subsumption_resolution:    8
% 6.46/1.65  res_clause_to_clause_subsumption:       2737
% 6.46/1.65  res_subs_bck_cnt:                       3
% 6.46/1.65  res_orphan_elimination:                 0
% 6.46/1.65  res_tautology_del:                      34
% 6.46/1.65  res_num_eq_res_simplified:              0
% 6.46/1.65  res_num_sel_changes:                    0
% 6.46/1.65  res_moves_from_active_to_pass:          0
% 6.46/1.65  
% 6.46/1.65  res_time_sim_new:                       0.022
% 6.46/1.65  res_time_sim_fw_given:                  0.135
% 6.46/1.65  res_time_sim_bw_given:                  0.05
% 6.46/1.65  res_time_total:                         0.022
% 6.46/1.65  
% 6.46/1.65  ------ Superposition
% 6.46/1.65  
% 6.46/1.65  sup_num_of_clauses:                     undef
% 6.46/1.65  sup_num_in_active:                      undef
% 6.46/1.65  sup_num_in_passive:                     undef
% 6.46/1.65  sup_num_of_loops:                       0
% 6.46/1.65  sup_fw_superposition:                   0
% 6.46/1.65  sup_bw_superposition:                   0
% 6.46/1.65  sup_eq_factoring:                       0
% 6.46/1.65  sup_eq_resolution:                      0
% 6.46/1.65  sup_immediate_simplified:               0
% 6.46/1.65  sup_given_eliminated:                   0
% 6.46/1.65  comparisons_done:                       0
% 6.46/1.65  comparisons_avoided:                    0
% 6.46/1.65  comparisons_inc_criteria:               0
% 6.46/1.65  sup_deep_cl_discarded:                  0
% 6.46/1.65  sup_num_of_deepenings:                  0
% 6.46/1.65  sup_num_of_restarts:                    0
% 6.46/1.65  
% 6.46/1.65  sup_time_generating:                    0.
% 6.46/1.65  sup_time_sim_fw_full:                   0.
% 6.46/1.65  sup_time_sim_bw_full:                   0.
% 6.46/1.65  sup_time_sim_fw_immed:                  0.
% 6.46/1.65  sup_time_sim_bw_immed:                  0.
% 6.46/1.65  sup_time_prep_sim_fw_input:             0.
% 6.46/1.65  sup_time_prep_sim_bw_input:             0.
% 6.46/1.65  sup_time_total:                         0.
% 6.46/1.65  
% 6.46/1.65  ------ Simplifications
% 6.46/1.65  
% 6.46/1.65  sim_repeated:                           0
% 6.46/1.65  sim_fw_subset_subsumed:                 0
% 6.46/1.65  sim_bw_subset_subsumed:                 0
% 6.46/1.65  sim_fw_subsumed:                        0
% 6.46/1.65  sim_bw_subsumed:                        0
% 6.46/1.65  sim_fw_subsumption_res:                 0
% 6.46/1.65  sim_bw_subsumption_res:                 0
% 6.46/1.65  sim_fw_unit_subs:                       0
% 6.46/1.65  sim_bw_unit_subs:                       0
% 6.46/1.65  sim_tautology_del:                      0
% 6.46/1.65  sim_eq_tautology_del:                   0
% 6.46/1.65  sim_eq_res_simp:                        0
% 6.46/1.65  sim_fw_demodulated:                     0
% 6.46/1.65  sim_bw_demodulated:                     0
% 6.46/1.65  sim_encompassment_demod:                0
% 6.46/1.65  sim_light_normalised:                   0
% 6.46/1.65  sim_ac_normalised:                      0
% 6.46/1.65  sim_joinable_taut:                      0
% 6.46/1.65  sim_joinable_simp:                      0
% 6.46/1.65  sim_fw_ac_demod:                        0
% 6.46/1.65  sim_bw_ac_demod:                        0
% 6.46/1.65  sim_smt_subsumption:                    0
% 6.46/1.65  sim_smt_simplified:                     0
% 6.46/1.65  sim_ground_joinable:                    0
% 6.46/1.65  sim_bw_ground_joinable:                 0
% 6.46/1.65  sim_connectedness:                      0
% 6.46/1.65  
% 6.46/1.65  sim_time_fw_subset_subs:                0.
% 6.46/1.65  sim_time_bw_subset_subs:                0.
% 6.46/1.65  sim_time_fw_subs:                       0.
% 6.46/1.65  sim_time_bw_subs:                       0.
% 6.46/1.65  sim_time_fw_subs_res:                   0.
% 6.46/1.65  sim_time_bw_subs_res:                   0.
% 6.46/1.65  sim_time_fw_unit_subs:                  0.
% 6.46/1.65  sim_time_bw_unit_subs:                  0.
% 6.46/1.65  sim_time_tautology_del:                 0.
% 6.46/1.65  sim_time_eq_tautology_del:              0.
% 6.46/1.65  sim_time_eq_res_simp:                   0.
% 6.46/1.65  sim_time_fw_demod:                      0.
% 6.46/1.65  sim_time_bw_demod:                      0.
% 6.46/1.65  sim_time_light_norm:                    0.
% 6.46/1.65  sim_time_joinable:                      0.
% 6.46/1.65  sim_time_ac_norm:                       0.
% 6.46/1.65  sim_time_fw_ac_demod:                   0.
% 6.46/1.65  sim_time_bw_ac_demod:                   0.
% 6.46/1.65  sim_time_smt_subs:                      0.
% 6.46/1.65  sim_time_fw_gjoin:                      0.
% 6.46/1.65  sim_time_fw_connected:                  0.
% 6.46/1.65  
% 6.46/1.65  
%------------------------------------------------------------------------------