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iProver-SAT---3.9.4.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : iProver-SAT---3.9.4
% Problem  : SYN519-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:46:47 PM UTC 2026

% Result   : Satisfiable 4.20s 17.78s
% Output   : Model 16.05s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of c1_0 
fof(lit_def,axiom,
    ( c1_0
  <=> $true ) ).

%------ Positive definition of c4_0 
fof(lit_def_001,axiom,
    ( c4_0
  <=> $true ) ).

%------ Positive definition of ssSkC45 
fof(lit_def_002,axiom,
    ( ssSkC45
  <=> $false ) ).

%------ Positive definition of ndr1_0 
fof(lit_def_003,axiom,
    ( ndr1_0
  <=> $true ) ).

%------ Positive definition of ssSkC40 
fof(lit_def_004,axiom,
    ( ssSkC40
  <=> $true ) ).

%------ Positive definition of ssSkC27 
fof(lit_def_005,axiom,
    ( ssSkC27
  <=> $false ) ).

%------ Positive definition of ssSkC25 
fof(lit_def_006,axiom,
    ( ssSkC25
  <=> $false ) ).

%------ Positive definition of ssSkC16 
fof(lit_def_007,axiom,
    ( ssSkC16
  <=> $false ) ).

%------ Positive definition of ssSkC15 
fof(lit_def_008,axiom,
    ( ssSkC15
  <=> $false ) ).

%------ Positive definition of ssSkC10 
fof(lit_def_009,axiom,
    ( ssSkC10
  <=> $true ) ).

%------ Positive definition of ssSkC9 
fof(lit_def_010,axiom,
    ( ssSkC9
  <=> $false ) ).

%------ Positive definition of ssSkC8 
fof(lit_def_011,axiom,
    ( ssSkC8
  <=> $true ) ).

%------ Positive definition of c5_0 
fof(lit_def_012,axiom,
    ( c5_0
  <=> $false ) ).

%------ Positive definition of c3_0 
fof(lit_def_013,axiom,
    ( c3_0
  <=> $false ) ).

%------ Positive definition of c2_0 
fof(lit_def_014,axiom,
    ( c2_0
  <=> $true ) ).

%------ Positive definition of ssSkC44 
fof(lit_def_015,axiom,
    ( ssSkC44
  <=> $true ) ).

%------ Positive definition of ssSkC43 
fof(lit_def_016,axiom,
    ( ssSkC43
  <=> $false ) ).

%------ Positive definition of ssSkC42 
fof(lit_def_017,axiom,
    ( ssSkC42
  <=> $true ) ).

%------ Positive definition of ssSkC41 
fof(lit_def_018,axiom,
    ( ssSkC41
  <=> $true ) ).

%------ Positive definition of ssSkC39 
fof(lit_def_019,axiom,
    ( ssSkC39
  <=> $true ) ).

%------ Positive definition of ssSkC38 
fof(lit_def_020,axiom,
    ( ssSkC38
  <=> $false ) ).

%------ Positive definition of ssSkC37 
fof(lit_def_021,axiom,
    ( ssSkC37
  <=> $true ) ).

%------ Positive definition of ssSkC36 
fof(lit_def_022,axiom,
    ( ssSkC36
  <=> $false ) ).

%------ Positive definition of ssSkC35 
fof(lit_def_023,axiom,
    ( ssSkC35
  <=> $false ) ).

%------ Positive definition of ssSkC28 
fof(lit_def_024,axiom,
    ( ssSkC28
  <=> $false ) ).

%------ Positive definition of ssSkC26 
fof(lit_def_025,axiom,
    ( ssSkC26
  <=> $true ) ).

%------ Positive definition of ssSkC24 
fof(lit_def_026,axiom,
    ( ssSkC24
  <=> $true ) ).

%------ Positive definition of ssSkC19 
fof(lit_def_027,axiom,
    ( ssSkC19
  <=> $false ) ).

%------ Positive definition of ssSkC14 
fof(lit_def_028,axiom,
    ( ssSkC14
  <=> $false ) ).

%------ Positive definition of ssSkC7 
fof(lit_def_029,axiom,
    ( ssSkC7
  <=> $true ) ).

%------ Positive definition of ndr1_1 
fof(lit_def_030,axiom,
    ! [X0] :
      ( ndr1_1(X0)
    <=> $true ) ).

%------ Positive definition of c3_1 
fof(lit_def_031,axiom,
    ! [X0] :
      ( c3_1(X0)
    <=> ( X0 = iProver_Domain_i_2
        | ( X0 != iProver_Domain_i_2
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of c4_1 
fof(lit_def_032,axiom,
    ! [X0] :
      ( c4_1(X0)
    <=> ( X0 = iProver_Domain_i_2
        | ( X0 != iProver_Domain_i_2
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of c5_1 
fof(lit_def_033,axiom,
    ! [X0] :
      ( c5_1(X0)
    <=> ( X0 = iProver_Domain_i_2
        | ( X0 != iProver_Domain_i_2
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of ssSkC34 
fof(lit_def_034,axiom,
    ( ssSkC34
  <=> $true ) ).

%------ Positive definition of ssSkC31 
fof(lit_def_035,axiom,
    ( ssSkC31
  <=> $true ) ).

%------ Positive definition of ssSkC32 
fof(lit_def_036,axiom,
    ( ssSkC32
  <=> $true ) ).

%------ Positive definition of ssSkC29 
fof(lit_def_037,axiom,
    ( ssSkC29
  <=> $false ) ).

%------ Positive definition of ssSkC30 
fof(lit_def_038,axiom,
    ( ssSkC30
  <=> $true ) ).

%------ Positive definition of ssSkC23 
fof(lit_def_039,axiom,
    ( ssSkC23
  <=> $false ) ).

%------ Positive definition of ssSkC20 
fof(lit_def_040,axiom,
    ( ssSkC20
  <=> $true ) ).

%------ Positive definition of ssSkC21 
fof(lit_def_041,axiom,
    ( ssSkC21
  <=> $true ) ).

%------ Positive definition of ssSkC18 
fof(lit_def_042,axiom,
    ( ssSkC18
  <=> $true ) ).

%------ Positive definition of c2_1 
fof(lit_def_043,axiom,
    ! [X0] :
      ( c2_1(X0)
    <=> X0 != iProver_Domain_i_1 ) ).

%------ Positive definition of c1_1 
fof(lit_def_044,axiom,
    ! [X0] :
      ( c1_1(X0)
    <=> ( X0 = iProver_Domain_i_2
        | X0 = iProver_Domain_i_1 ) ) ).

%------ Positive definition of ssSkP9 
fof(lit_def_045,axiom,
    ! [X0] :
      ( ssSkP9(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP8 
fof(lit_def_046,axiom,
    ! [X0] :
      ( ssSkP8(X0)
    <=> X0 != iProver_Domain_i_1 ) ).

%------ Positive definition of ssSkP7 
fof(lit_def_047,axiom,
    ! [X0] :
      ( ssSkP7(X0)
    <=> X0 != iProver_Domain_i_2 ) ).

%------ Positive definition of ssSkP6 
fof(lit_def_048,axiom,
    ! [X0] :
      ( ssSkP6(X0)
    <=> ( X0 = iProver_Domain_i_2
        | X0 = iProver_Domain_i_1 ) ) ).

%------ Positive definition of ssSkP5 
fof(lit_def_049,axiom,
    ! [X0] :
      ( ssSkP5(X0)
    <=> ( X0 = iProver_Domain_i_2
        | X0 = iProver_Domain_i_1 ) ) ).

%------ Positive definition of ssSkP4 
fof(lit_def_050,axiom,
    ! [X0] :
      ( ssSkP4(X0)
    <=> ( X0 = iProver_Domain_i_2
        | X0 != iProver_Domain_i_1 ) ) ).

%------ Positive definition of ssSkP3 
fof(lit_def_051,axiom,
    ! [X0] :
      ( ssSkP3(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of ssSkP2 
fof(lit_def_052,axiom,
    ! [X0] :
      ( ssSkP2(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of ssSkP1 
fof(lit_def_053,axiom,
    ! [X0] :
      ( ssSkP1(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP0 
fof(lit_def_054,axiom,
    ! [X0] :
      ( ssSkP0(X0)
    <=> $true ) ).

%------ Positive definition of c3_2 
fof(lit_def_055,axiom,
    ! [X0,X1] :
      ( c3_2(X0,X1)
    <=> ( X1 = iProver_Domain_i_1
        | ( X1 = iProver_Domain_i_1
          & X0 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_2
          & X0 = iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_1
          & X0 = iProver_Domain_i_1 )
        | ( X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X0 != iProver_Domain_i_2 )
          & X0 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X0 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X0 != iProver_Domain_i_1 )
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of c4_2 
fof(lit_def_056,axiom,
    ! [X0,X1] :
      ( c4_2(X0,X1)
    <=> ( ( X1 = iProver_Domain_i_2
          & X0 = iProver_Domain_i_2 )
        | ( X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X0 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_1
          & X0 = iProver_Domain_i_1 )
        | ( X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X0 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X0 != iProver_Domain_i_1 )
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of c2_2 
fof(lit_def_057,axiom,
    ! [X0,X1] :
      ( c2_2(X0,X1)
    <=> ( ( X1 = iProver_Domain_i_2
          & X0 = iProver_Domain_i_1 )
        | ( X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X0 = iProver_Domain_i_1 )
        | ( X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X0 != iProver_Domain_i_2 )
          & X0 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X0 != iProver_Domain_i_1 ) ) ) ) ).

%------ Positive definition of c5_2 
fof(lit_def_058,axiom,
    ! [X0,X1] :
      ( c5_2(X0,X1)
    <=> ( ( X0 != iProver_Domain_i_2
          & X0 != iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_2
          & X0 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_1
          & X0 = iProver_Domain_i_2 )
        | X0 = iProver_Domain_i_2
        | ( X1 = iProver_Domain_i_1
          & X0 = iProver_Domain_i_1 )
        | ( X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X0 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of ssSkC6 
fof(lit_def_059,axiom,
    ( ssSkC6
  <=> $true ) ).

%------ Positive definition of ssSkC5 
fof(lit_def_060,axiom,
    ( ssSkC5
  <=> $false ) ).

%------ Positive definition of ssSkC4 
fof(lit_def_061,axiom,
    ( ssSkC4
  <=> $true ) ).

%------ Positive definition of ssSkC3 
fof(lit_def_062,axiom,
    ( ssSkC3
  <=> $true ) ).

%------ Positive definition of ssSkC2 
fof(lit_def_063,axiom,
    ( ssSkC2
  <=> $true ) ).

%------ Positive definition of ssSkC1 
fof(lit_def_064,axiom,
    ( ssSkC1
  <=> $true ) ).

%------ Positive definition of ssSkC0 
fof(lit_def_065,axiom,
    ( ssSkC0
  <=> $true ) ).

%------ Positive definition of c1_2 
fof(lit_def_066,axiom,
    ! [X0,X1] :
      ( c1_2(X0,X1)
    <=> ( ( X0 != iProver_Domain_i_2
          & X0 != iProver_Domain_i_1
          & X1 = iProver_Domain_i_2 )
        | ( X0 != iProver_Domain_i_2
          & X0 != iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X0 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_2
          & X0 = iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_1
          & X0 = iProver_Domain_i_1 )
        | X0 = iProver_Domain_i_1 ) ) ).

%------ Positive definition of ssSkC13 
fof(lit_def_067,axiom,
    ( ssSkC13
  <=> $false ) ).

%------ Positive definition of ssSkC12 
fof(lit_def_068,axiom,
    ( ssSkC12
  <=> $false ) ).

%------ Positive definition of ssSkC17 
fof(lit_def_069,axiom,
    ( ssSkC17
  <=> $true ) ).

%------ Positive definition of ssSkC11 
fof(lit_def_070,axiom,
    ( ssSkC11
  <=> $false ) ).

%------ Positive definition of ssSkC22 
fof(lit_def_071,axiom,
    ( ssSkC22
  <=> $true ) ).

%------ Positive definition of ssSkC33 
fof(lit_def_072,axiom,
    ( ssSkC33
  <=> $true ) ).

%------ Positive definition of iProver_Flat_a173 
fof(lit_def_073,axiom,
    ! [X0] :
      ( iProver_Flat_a173(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a159 
fof(lit_def_074,axiom,
    ! [X0] :
      ( iProver_Flat_a159(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a125 
fof(lit_def_075,axiom,
    ! [X0] :
      ( iProver_Flat_a125(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a103 
fof(lit_def_076,axiom,
    ! [X0] :
      ( iProver_Flat_a103(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a72 
fof(lit_def_077,axiom,
    ! [X0] :
      ( iProver_Flat_a72(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a70 
fof(lit_def_078,axiom,
    ! [X0] :
      ( iProver_Flat_a70(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a66 
fof(lit_def_079,axiom,
    ! [X0] :
      ( iProver_Flat_a66(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a51 
fof(lit_def_080,axiom,
    ! [X0] :
      ( iProver_Flat_a51(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a46 
fof(lit_def_081,axiom,
    ! [X0] :
      ( iProver_Flat_a46(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a27 
fof(lit_def_082,axiom,
    ! [X0] :
      ( iProver_Flat_a27(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a23 
fof(lit_def_083,axiom,
    ! [X0] :
      ( iProver_Flat_a23(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a2 
fof(lit_def_084,axiom,
    ! [X0] :
      ( iProver_Flat_a2(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a172 
fof(lit_def_085,axiom,
    ! [X0] :
      ( iProver_Flat_a172(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a164 
fof(lit_def_086,axiom,
    ! [X0] :
      ( iProver_Flat_a164(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a161 
fof(lit_def_087,axiom,
    ! [X0] :
      ( iProver_Flat_a161(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a160 
fof(lit_def_088,axiom,
    ! [X0] :
      ( iProver_Flat_a160(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a158 
fof(lit_def_089,axiom,
    ! [X0] :
      ( iProver_Flat_a158(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a154 
fof(lit_def_090,axiom,
    ! [X0] :
      ( iProver_Flat_a154(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a153 
fof(lit_def_091,axiom,
    ! [X0] :
      ( iProver_Flat_a153(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a147 
fof(lit_def_092,axiom,
    ! [X0] :
      ( iProver_Flat_a147(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a146 
fof(lit_def_093,axiom,
    ! [X0] :
      ( iProver_Flat_a146(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a144 
fof(lit_def_094,axiom,
    ! [X0] :
      ( iProver_Flat_a144(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a131 
fof(lit_def_095,axiom,
    ! [X0] :
      ( iProver_Flat_a131(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a127 
fof(lit_def_096,axiom,
    ! [X0] :
      ( iProver_Flat_a127(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a109 
fof(lit_def_097,axiom,
    ! [X0] :
      ( iProver_Flat_a109(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a102 
fof(lit_def_098,axiom,
    ! [X0] :
      ( iProver_Flat_a102(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a86 
fof(lit_def_099,axiom,
    ! [X0] :
      ( iProver_Flat_a86(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a71 
fof(lit_def_100,axiom,
    ! [X0] :
      ( iProver_Flat_a71(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a168 
fof(lit_def_101,axiom,
    ! [X0] :
      ( iProver_Flat_a168(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a156 
fof(lit_def_102,axiom,
    ! [X0] :
      ( iProver_Flat_a156(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a149 
fof(lit_def_103,axiom,
    ! [X0] :
      ( iProver_Flat_a149(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a139 
fof(lit_def_104,axiom,
    ! [X0] :
      ( iProver_Flat_a139(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a135 
fof(lit_def_105,axiom,
    ! [X0] :
      ( iProver_Flat_a135(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a130 
fof(lit_def_106,axiom,
    ! [X0] :
      ( iProver_Flat_a130(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a126 
fof(lit_def_107,axiom,
    ! [X0] :
      ( iProver_Flat_a126(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a114 
fof(lit_def_108,axiom,
    ! [X0] :
      ( iProver_Flat_a114(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a110 
fof(lit_def_109,axiom,
    ! [X0] :
      ( iProver_Flat_a110(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a107 
fof(lit_def_110,axiom,
    ! [X0] :
      ( iProver_Flat_a107(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a104 
fof(lit_def_111,axiom,
    ! [X0] :
      ( iProver_Flat_a104(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a99 
fof(lit_def_112,axiom,
    ! [X0] :
      ( iProver_Flat_a99(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a91 
fof(lit_def_113,axiom,
    ! [X0] :
      ( iProver_Flat_a91(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a85 
fof(lit_def_114,axiom,
    ! [X0] :
      ( iProver_Flat_a85(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a73 
fof(lit_def_115,axiom,
    ! [X0] :
      ( iProver_Flat_a73(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a67 
fof(lit_def_116,axiom,
    ! [X0] :
      ( iProver_Flat_a67(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a52 
fof(lit_def_117,axiom,
    ! [X0] :
      ( iProver_Flat_a52(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a47 
fof(lit_def_118,axiom,
    ! [X0] :
      ( iProver_Flat_a47(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a43 
fof(lit_def_119,axiom,
    ! [X0] :
      ( iProver_Flat_a43(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a41 
fof(lit_def_120,axiom,
    ! [X0] :
      ( iProver_Flat_a41(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a38 
fof(lit_def_121,axiom,
    ! [X0] :
      ( iProver_Flat_a38(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a24 
fof(lit_def_122,axiom,
    ! [X0] :
      ( iProver_Flat_a24(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a19 
fof(lit_def_123,axiom,
    ! [X0] :
      ( iProver_Flat_a19(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a16 
fof(lit_def_124,axiom,
    ! [X0] :
      ( iProver_Flat_a16(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a10 
fof(lit_def_125,axiom,
    ! [X0] :
      ( iProver_Flat_a10(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a7 
fof(lit_def_126,axiom,
    ! [X0] :
      ( iProver_Flat_a7(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a3 
fof(lit_def_127,axiom,
    ! [X0] :
      ( iProver_Flat_a3(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a167 
fof(lit_def_128,axiom,
    ! [X0] :
      ( iProver_Flat_a167(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a166 
fof(lit_def_129,axiom,
    ! [X0] :
      ( iProver_Flat_a166(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a165 
fof(lit_def_130,axiom,
    ! [X0] :
      ( iProver_Flat_a165(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a162 
fof(lit_def_131,axiom,
    ! [X0] :
      ( iProver_Flat_a162(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a155 
fof(lit_def_132,axiom,
    ! [X0] :
      ( iProver_Flat_a155(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a148 
fof(lit_def_133,axiom,
    ! [X0] :
      ( iProver_Flat_a148(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a136 
fof(lit_def_134,axiom,
    ! [X0] :
      ( iProver_Flat_a136(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a120 
fof(lit_def_135,axiom,
    ! [X0] :
      ( iProver_Flat_a120(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a115 
fof(lit_def_136,axiom,
    ! [X0] :
      ( iProver_Flat_a115(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a100 
fof(lit_def_137,axiom,
    ! [X0] :
      ( iProver_Flat_a100(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a81 
fof(lit_def_138,axiom,
    ! [X0] :
      ( iProver_Flat_a81(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a68 
fof(lit_def_139,axiom,
    ! [X0] :
      ( iProver_Flat_a68(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a59 
fof(lit_def_140,axiom,
    ! [X0] :
      ( iProver_Flat_a59(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a44 
fof(lit_def_141,axiom,
    ! [X0] :
      ( iProver_Flat_a44(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a31 
fof(lit_def_142,axiom,
    ! [X0] :
      ( iProver_Flat_a31(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a12 
fof(lit_def_143,axiom,
    ! [X0] :
      ( iProver_Flat_a12(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a174 
fof(lit_def_144,axiom,
    ! [X0] :
      ( iProver_Flat_a174(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a170 
fof(lit_def_145,axiom,
    ! [X0] :
      ( iProver_Flat_a170(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a169 
fof(lit_def_146,axiom,
    ! [X0] :
      ( iProver_Flat_a169(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a157 
fof(lit_def_147,axiom,
    ! [X0] :
      ( iProver_Flat_a157(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a151 
fof(lit_def_148,axiom,
    ! [X0] :
      ( iProver_Flat_a151(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a150 
fof(lit_def_149,axiom,
    ! [X0] :
      ( iProver_Flat_a150(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a145 
fof(lit_def_150,axiom,
    ! [X0] :
      ( iProver_Flat_a145(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a121 
fof(lit_def_151,axiom,
    ! [X0] :
      ( iProver_Flat_a121(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a111 
fof(lit_def_152,axiom,
    ! [X0] :
      ( iProver_Flat_a111(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a108 
fof(lit_def_153,axiom,
    ! [X0] :
      ( iProver_Flat_a108(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a90 
fof(lit_def_154,axiom,
    ! [X0] :
      ( iProver_Flat_a90(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a87 
fof(lit_def_155,axiom,
    ! [X0] :
      ( iProver_Flat_a87(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a83 
fof(lit_def_156,axiom,
    ! [X0] :
      ( iProver_Flat_a83(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a39 
fof(lit_def_157,axiom,
    ! [X0] :
      ( iProver_Flat_a39(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a34 
fof(lit_def_158,axiom,
    ! [X0] :
      ( iProver_Flat_a34(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a33 
fof(lit_def_159,axiom,
    ! [X0] :
      ( iProver_Flat_a33(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a29 
fof(lit_def_160,axiom,
    ! [X0] :
      ( iProver_Flat_a29(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a26 
fof(lit_def_161,axiom,
    ! [X0] :
      ( iProver_Flat_a26(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a17 
fof(lit_def_162,axiom,
    ! [X0] :
      ( iProver_Flat_a17(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a8 
fof(lit_def_163,axiom,
    ! [X0] :
      ( iProver_Flat_a8(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a14 
fof(lit_def_164,axiom,
    ! [X0] :
      ( iProver_Flat_a14(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a171 
fof(lit_def_165,axiom,
    ! [X0] :
      ( iProver_Flat_a171(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a152 
fof(lit_def_166,axiom,
    ! [X0] :
      ( iProver_Flat_a152(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a92 
fof(lit_def_167,axiom,
    ! [X0] :
      ( iProver_Flat_a92(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a89 
fof(lit_def_168,axiom,
    ! [X0] :
      ( iProver_Flat_a89(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a88 
fof(lit_def_169,axiom,
    ! [X0] :
      ( iProver_Flat_a88(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a84 
fof(lit_def_170,axiom,
    ! [X0] :
      ( iProver_Flat_a84(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a80 
fof(lit_def_171,axiom,
    ! [X0] :
      ( iProver_Flat_a80(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a35 
fof(lit_def_172,axiom,
    ! [X0] :
      ( iProver_Flat_a35(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a30 
fof(lit_def_173,axiom,
    ! [X0] :
      ( iProver_Flat_a30(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a11 
fof(lit_def_174,axiom,
    ! [X0] :
      ( iProver_Flat_a11(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a45 
fof(lit_def_175,axiom,
    ! [X0] :
      ( iProver_Flat_a45(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a113 
fof(lit_def_176,axiom,
    ! [X0] :
      ( iProver_Flat_a113(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a101 
fof(lit_def_177,axiom,
    ! [X0] :
      ( iProver_Flat_a101(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a60 
fof(lit_def_178,axiom,
    ! [X0] :
      ( iProver_Flat_a60(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a56 
fof(lit_def_179,axiom,
    ! [X0] :
      ( iProver_Flat_a56(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a138 
fof(lit_def_180,axiom,
    ! [X0] :
      ( iProver_Flat_a138(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a65 
fof(lit_def_181,axiom,
    ! [X0] :
      ( iProver_Flat_a65(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a128 
fof(lit_def_182,axiom,
    ! [X0] :
      ( iProver_Flat_a128(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a96 
fof(lit_def_183,axiom,
    ! [X0] :
      ( iProver_Flat_a96(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a32 
fof(lit_def_184,axiom,
    ! [X0] :
      ( iProver_Flat_a32(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a25 
fof(lit_def_185,axiom,
    ! [X0] :
      ( iProver_Flat_a25(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a106 
fof(lit_def_186,axiom,
    ! [X0] :
      ( iProver_Flat_a106(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a97 
fof(lit_def_187,axiom,
    ! [X0] :
      ( iProver_Flat_a97(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a78 
fof(lit_def_188,axiom,
    ! [X0] :
      ( iProver_Flat_a78(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a137 
fof(lit_def_189,axiom,
    ! [X0] :
      ( iProver_Flat_a137(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a124 
fof(lit_def_190,axiom,
    ! [X0] :
      ( iProver_Flat_a124(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a119 
fof(lit_def_191,axiom,
    ! [X0] :
      ( iProver_Flat_a119(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a112 
fof(lit_def_192,axiom,
    ! [X0] :
      ( iProver_Flat_a112(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a105 
fof(lit_def_193,axiom,
    ! [X0] :
      ( iProver_Flat_a105(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a6 
fof(lit_def_194,axiom,
    ! [X0] :
      ( iProver_Flat_a6(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a118 
fof(lit_def_195,axiom,
    ! [X0] :
      ( iProver_Flat_a118(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a54 
fof(lit_def_196,axiom,
    ! [X0] :
      ( iProver_Flat_a54(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a48 
fof(lit_def_197,axiom,
    ! [X0] :
      ( iProver_Flat_a48(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a132 
fof(lit_def_198,axiom,
    ! [X0] :
      ( iProver_Flat_a132(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a1 
fof(lit_def_199,axiom,
    ! [X0] :
      ( iProver_Flat_a1(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a129 
fof(lit_def_200,axiom,
    ! [X0] :
      ( iProver_Flat_a129(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a98 
fof(lit_def_201,axiom,
    ! [X0] :
      ( iProver_Flat_a98(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a18 
fof(lit_def_202,axiom,
    ! [X0] :
      ( iProver_Flat_a18(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a15 
fof(lit_def_203,axiom,
    ! [X0] :
      ( iProver_Flat_a15(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a74 
fof(lit_def_204,axiom,
    ! [X0] :
      ( iProver_Flat_a74(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a37 
fof(lit_def_205,axiom,
    ! [X0] :
      ( iProver_Flat_a37(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a76 
fof(lit_def_206,axiom,
    ! [X0] :
      ( iProver_Flat_a76(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a75 
fof(lit_def_207,axiom,
    ! [X0] :
      ( iProver_Flat_a75(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a49 
fof(lit_def_208,axiom,
    ! [X0] :
      ( iProver_Flat_a49(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a163 
fof(lit_def_209,axiom,
    ! [X0] :
      ( iProver_Flat_a163(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a58 
fof(lit_def_210,axiom,
    ! [X0] :
      ( iProver_Flat_a58(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a134 
fof(lit_def_211,axiom,
    ! [X0] :
      ( iProver_Flat_a134(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a117 
fof(lit_def_212,axiom,
    ! [X0] :
      ( iProver_Flat_a117(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a82 
fof(lit_def_213,axiom,
    ! [X0] :
      ( iProver_Flat_a82(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a143 
fof(lit_def_214,axiom,
    ! [X0] :
      ( iProver_Flat_a143(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a42 
fof(lit_def_215,axiom,
    ! [X0] :
      ( iProver_Flat_a42(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a94 
fof(lit_def_216,axiom,
    ! [X0] :
      ( iProver_Flat_a94(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a22 
fof(lit_def_217,axiom,
    ! [X0] :
      ( iProver_Flat_a22(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a95 
fof(lit_def_218,axiom,
    ! [X0] :
      ( iProver_Flat_a95(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a79 
fof(lit_def_219,axiom,
    ! [X0] :
      ( iProver_Flat_a79(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a77 
fof(lit_def_220,axiom,
    ! [X0] :
      ( iProver_Flat_a77(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a69 
fof(lit_def_221,axiom,
    ! [X0] :
      ( iProver_Flat_a69(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a40 
fof(lit_def_222,axiom,
    ! [X0] :
      ( iProver_Flat_a40(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a123 
fof(lit_def_223,axiom,
    ! [X0] :
      ( iProver_Flat_a123(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a13 
fof(lit_def_224,axiom,
    ! [X0] :
      ( iProver_Flat_a13(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a133 
fof(lit_def_225,axiom,
    ! [X0] :
      ( iProver_Flat_a133(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a9 
fof(lit_def_226,axiom,
    ! [X0] :
      ( iProver_Flat_a9(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a28 
fof(lit_def_227,axiom,
    ! [X0] :
      ( iProver_Flat_a28(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a61 
fof(lit_def_228,axiom,
    ! [X0] :
      ( iProver_Flat_a61(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a93 
fof(lit_def_229,axiom,
    ! [X0] :
      ( iProver_Flat_a93(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a63 
fof(lit_def_230,axiom,
    ! [X0] :
      ( iProver_Flat_a63(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a62 
fof(lit_def_231,axiom,
    ! [X0] :
      ( iProver_Flat_a62(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a57 
fof(lit_def_232,axiom,
    ! [X0] :
      ( iProver_Flat_a57(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a116 
fof(lit_def_233,axiom,
    ! [X0] :
      ( iProver_Flat_a116(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a64 
fof(lit_def_234,axiom,
    ! [X0] :
      ( iProver_Flat_a64(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a53 
fof(lit_def_235,axiom,
    ! [X0] :
      ( iProver_Flat_a53(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a141 
fof(lit_def_236,axiom,
    ! [X0] :
      ( iProver_Flat_a141(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a122 
fof(lit_def_237,axiom,
    ! [X0] :
      ( iProver_Flat_a122(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a36 
fof(lit_def_238,axiom,
    ! [X0] :
      ( iProver_Flat_a36(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a20 
fof(lit_def_239,axiom,
    ! [X0] :
      ( iProver_Flat_a20(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a55 
fof(lit_def_240,axiom,
    ! [X0] :
      ( iProver_Flat_a55(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a21 
fof(lit_def_241,axiom,
    ! [X0] :
      ( iProver_Flat_a21(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_a140 
fof(lit_def_242,axiom,
    ! [X0] :
      ( iProver_Flat_a140(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_a142 
fof(lit_def_243,axiom,
    ! [X0] :
      ( iProver_Flat_a142(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN519-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.09/15.41  % CPULimit : 300
% 0.09/15.41  % WCLimit  : 300
% 0.09/15.41  % DateTime : Fri Sep 25 01:40:57 UTC 2026
% 0.09/15.42  % CPUTime  : 
% 0.09/15.42  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.09/15.44  Running model finding
% 0.09/15.44  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.45  
% 0.09/15.45  % ======== iProver multi-core TPTP/SMT =========
% 0.09/15.45  
% 0.09/15.45  % Detected problem language: tptp
% 0.09/15.46  % Proving...
% 4.20/17.78  % SZS status Started for theBenchmark.p
% 4.20/17.78  % SZS status Satisfiable for theBenchmark.p
% 4.20/17.78  
% 4.20/17.78  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.20/17.78  
% 4.20/17.78  ------  iProver source info
% 4.20/17.78  
% 4.20/17.78  git: date: 2026-07-19 20:42:38 +0200
% 4.20/17.78  git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.20/17.78  git: non_committed_changes: false
% 4.20/17.78  
% 4.20/17.78  ------ Parsing...successful
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.20/17.78  ------ Proving...
% 4.20/17.78  ------ Problem Properties 
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  clauses                                 530
% 4.20/17.78  conjectures                             530
% 4.20/17.78  EPR                                     530
% 4.20/17.78  Horn                                    222
% 4.20/17.78  unary                                   3
% 4.20/17.78  binary                                  187
% 4.20/17.78  lits                                    2255
% 4.20/17.78  lits eq                                 0
% 4.20/17.78  fd_pure                                 0
% 4.20/17.78  fd_pseudo                               0
% 4.20/17.78  fd_cond                                 0
% 4.20/17.78  fd_pseudo_cond                          0
% 4.20/17.78  AC symbols                              0
% 4.20/17.78  
% 4.20/17.78  ------ Input Options Time Limit: Unbounded
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  ------ Finite Models:
% 4.20/17.78  
% 4.20/17.78  ------ lit_activity_flag true
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  ------ Trying domains of size >= : 1
% 4.20/17.78  
% 4.20/17.78  ------ Trying domains of size >= : 2
% 4.20/17.78  ------ 
% 4.20/17.78  Current options:
% 4.20/17.78  ------ 
% 4.20/17.78  
% 4.20/17.78  ------ Input Options
% 4.20/17.78  
% 4.20/17.78  --out_options                           all
% 4.20/17.78  --tptp_safe_out                         true
% 4.20/17.78  --problem_path                          ""
% 4.20/17.78  --include_path                          ""
% 4.20/17.78  --clausifier                            res/vclausify_rel
% 4.20/17.78  --clausifier_options                    --mode clausify -t 101.66 -updr off
% 4.20/17.78  --stdin                                 false
% 4.20/17.78  --proof_out                             true
% 4.20/17.78  --proof_dot_file                        ""
% 4.20/17.78  --proof_reduce_dot                      []
% 4.20/17.78  --suppress_sat_res                      false
% 4.20/17.78  --suppress_unsat_res                    true
% 4.20/17.78  --stats_out                             none
% 4.20/17.78  --stats_mem                             false
% 4.20/17.78  --theory_stats_out                      false
% 4.20/17.78  
% 4.20/17.78  ------ General Options
% 4.20/17.78  
% 4.20/17.78  --fof                                   false
% 4.20/17.78  --time_out_real                         304.98
% 4.20/17.78  --time_out_virtual                      -1.
% 4.20/17.78  --rnd_seed                              13
% 4.20/17.78  --symbol_type_check                     false
% 4.20/17.78  --clausify_out                          false
% 4.20/17.78  --sig_cnt_out                           false
% 4.20/17.78  --trig_cnt_out                          false
% 4.20/17.78  --trig_cnt_out_tolerance                1.
% 4.20/17.78  --trig_cnt_out_sk_spl                   false
% 4.20/17.78  --abstr_cl_out                          false
% 4.20/17.78  
% 4.20/17.78  ------ Interactive Mode
% 4.20/17.78  
% 4.20/17.78  --interactive_mode                      false
% 4.20/17.78  --external_ip_address                   ""
% 4.20/17.78  --external_port                         0
% 4.20/17.78  
% 4.20/17.78  ------ Global Options
% 4.20/17.78  
% 4.20/17.78  --schedule                              none
% 4.20/17.78  --add_important_lit                     false
% 4.20/17.78  --prop_solver_per_cl                    500
% 4.20/17.78  --subs_bck_mult                         8
% 4.20/17.78  --min_unsat_core                        false
% 4.20/17.78  --soft_assumptions                      false
% 4.20/17.78  --soft_lemma_size                       3
% 4.20/17.78  --prop_impl_unit_size                   0
% 4.20/17.78  --prop_impl_unit                        []
% 4.20/17.78  --share_sel_clauses                     true
% 4.20/17.78  --reset_solvers                         false
% 4.20/17.78  --bc_imp_inh                            [conj_cone]
% 4.20/17.78  --conj_cone_tolerance                   3.
% 4.20/17.78  --extra_neg_conj                        none
% 4.20/17.78  --large_theory_mode                     true
% 4.20/17.78  --prolific_symb_bound                   200
% 4.20/17.78  --lt_threshold                          2000
% 4.20/17.78  --clause_weak_htbl                      true
% 4.20/17.78  --gc_record_bc_elim                     false
% 4.20/17.78  
% 4.20/17.78  ------ Preprocessing Options
% 4.20/17.78  
% 4.20/17.78  --preprocessing_flag                    false
% 4.20/17.78  --time_out_prep_mult                    0.1
% 4.20/17.78  --splitting_mode                        input
% 4.20/17.78  --splitting_grd                         true
% 4.20/17.78  --splitting_cvd                         false
% 4.20/17.78  --splitting_cvd_svl                     false
% 4.20/17.78  --splitting_nvd                         32
% 4.20/17.78  --sub_typing                            false
% 4.20/17.78  --prep_eq_flat_conj                     false
% 4.20/17.78  --prep_ineq_split                       false
% 4.20/17.78  --prep_eq_flat_all_gr                   false
% 4.20/17.78  --prep_gs_sim                           true
% 4.20/17.78  --prep_unflatten                        true
% 4.20/17.78  --prep_res_sim                          true
% 4.20/17.78  --prep_sup_sim_all                      true
% 4.20/17.78  --prep_sup_sim_sup                      false
% 4.20/17.78  --prep_upred                            true
% 4.20/17.78  --prep_well_definedness                 true
% 4.20/17.78  --prep_sem_filter                       exhaustive
% 4.20/17.78  --prep_sem_filter_out                   false
% 4.20/17.78  --pred_elim                             true
% 4.20/17.78  --res_sim_input                         true
% 4.20/17.78  --eq_ax_congr_red                       true
% 4.20/17.78  --pure_diseq_elim                       true
% 4.20/17.78  --brand_transform                       false
% 4.20/17.78  --non_eq_to_eq                          false
% 4.20/17.78  --prep_eq_proxy                         false
% 4.20/17.78  --prep_def_merge                        true
% 4.20/17.78  --prep_def_merge_prop_impl              false
% 4.20/17.78  --prep_def_merge_mbd                    true
% 4.20/17.78  --prep_def_merge_tr_red                 false
% 4.20/17.78  --prep_def_merge_tr_cl                  false
% 4.20/17.78  --smt_preprocessing                     false
% 4.20/17.78  --smt_ac_axioms                         fast
% 4.20/17.78  --preprocessed_out                      false
% 4.20/17.78  --preprocessed_stats                    false
% 4.20/17.78  
% 4.20/17.78  ------ Abstraction refinement Options
% 4.20/17.78  
% 4.20/17.78  --abstr_ref                             []
% 4.20/17.78  --abstr_ref_prep                        false
% 4.20/17.78  --abstr_ref_until_sat                   false
% 4.20/17.78  --abstr_ref_sig_restrict                funpre
% 4.20/17.78  --abstr_ref_af_restrict_to_split_sk     false
% 4.20/17.78  --abstr_ref_under                       []
% 4.20/17.78  
% 4.20/17.78  ------ SAT Options
% 4.20/17.78  
% 4.20/17.78  --sat_mode                              true
% 4.20/17.78  --sat_fm_restart_options                ""
% 4.20/17.78  --sat_gr_def                            false
% 4.20/17.78  --sat_epr_types                         false
% 4.20/17.78  --sat_non_cyclic_types                  false
% 4.20/17.78  --sat_finite_models                     true
% 4.20/17.78  --sat_fm_lemmas                         false
% 4.20/17.78  --sat_fm_prep                           false
% 4.20/17.78  --sat_fm_uc_incr                        false
% 4.20/17.78  --sat_out_model                         pos
% 4.20/17.78  --sat_out_clauses                       false
% 4.20/17.78  
% 4.20/17.78  ------ QBF Options
% 4.20/17.78  
% 4.20/17.78  --qbf_mode                              false
% 4.20/17.78  --qbf_elim_univ                         false
% 4.20/17.78  --qbf_dom_inst                          none
% 4.20/17.78  --qbf_dom_pre_inst                      false
% 4.20/17.78  --qbf_sk_in                             false
% 4.20/17.78  --qbf_pred_elim                         true
% 4.20/17.78  --qbf_split                             512
% 4.20/17.78  
% 4.20/17.78  ------ BMC1 Options
% 4.20/17.78  
% 4.20/17.78  --bmc1_incremental                      false
% 4.20/17.78  --bmc1_axioms                           reachable_all
% 4.20/17.78  --bmc1_min_bound                        0
% 4.20/17.78  --bmc1_max_bound                        -1
% 4.20/17.78  --bmc1_max_bound_default                -1
% 4.20/17.78  --bmc1_symbol_reachability              true
% 4.20/17.78  --bmc1_property_lemmas                  false
% 4.20/17.78  --bmc1_k_induction                      false
% 4.20/17.78  --bmc1_non_equiv_states                 false
% 4.20/17.78  --bmc1_deadlock                         false
% 4.20/17.78  --bmc1_ucm                              false
% 4.20/17.78  --bmc1_add_unsat_core                   none
% 4.20/17.78  --bmc1_unsat_core_children              false
% 4.20/17.78  --bmc1_unsat_core_extrapolate_axioms    false
% 4.20/17.78  --bmc1_out_stat                         full
% 4.20/17.78  --bmc1_ground_init                      false
% 4.20/17.78  --bmc1_pre_inst_next_state              false
% 4.20/17.78  --bmc1_pre_inst_state                   false
% 4.20/17.78  --bmc1_pre_inst_reach_state             false
% 4.20/17.78  --bmc1_out_unsat_core                   false
% 4.20/17.78  --bmc1_aig_witness_out                  false
% 4.20/17.78  --bmc1_verbose                          false
% 4.20/17.78  --bmc1_dump_clauses_tptp                false
% 4.20/17.78  --bmc1_dump_unsat_core_tptp             false
% 4.20/17.78  --bmc1_dump_file                        -
% 4.20/17.78  --bmc1_ucm_expand_uc_limit              128
% 4.20/17.78  --bmc1_ucm_n_expand_iterations          6
% 4.20/17.78  --bmc1_ucm_extend_mode                  1
% 4.20/17.78  --bmc1_ucm_init_mode                    2
% 4.20/17.78  --bmc1_ucm_cone_mode                    none
% 4.20/17.78  --bmc1_ucm_reduced_relation_type        0
% 4.20/17.78  --bmc1_ucm_relax_model                  4
% 4.20/17.78  --bmc1_ucm_full_tr_after_sat            true
% 4.20/17.78  --bmc1_ucm_expand_neg_assumptions       false
% 4.20/17.78  --bmc1_ucm_layered_model                none
% 4.20/17.78  --bmc1_ucm_max_lemma_size               10
% 4.20/17.78  
% 4.20/17.78  ------ AIG Options
% 4.20/17.78  
% 4.20/17.78  --aig_mode                              false
% 4.20/17.78  
% 4.20/17.78  ------ Instantiation Options
% 4.20/17.78  
% 4.20/17.78  --instantiation_flag                    true
% 4.20/17.78  --inst_sos_flag                         false
% 4.20/17.78  --inst_sos_phase                        true
% 4.20/17.78  --inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 4.20/17.78  --inst_lit_sel                          [+prop;+sign;+ground;-num_var;-num_symb]
% 4.20/17.78  --inst_lit_sel_side                     num_symb
% 4.20/17.78  --inst_solver_per_active                1400
% 4.20/17.78  --inst_solver_calls_frac                1.
% 4.20/17.78  --inst_to_smt_solver                    true
% 4.20/17.78  --inst_passive_queue_type               priority_queues
% 4.20/17.78  --inst_passive_queues                   [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.20/17.78  --inst_passive_queues_freq              [25;2]
% 4.20/17.78  --inst_dismatching                      true
% 4.20/17.78  --inst_eager_unprocessed_to_passive     true
% 4.20/17.78  --inst_unprocessed_bound                1000
% 4.20/17.78  --inst_prop_sim_given                   true
% 4.20/17.78  --inst_prop_sim_new                     false
% 4.20/17.78  --inst_subs_new                         false
% 4.20/17.78  --inst_eq_res_simp                      false
% 4.20/17.78  --inst_subs_given                       false
% 4.20/17.78  --inst_orphan_elimination               true
% 4.20/17.78  --inst_learning_loop_flag               true
% 4.20/17.78  --inst_learning_start                   3000
% 4.20/17.78  --inst_learning_factor                  2
% 4.20/17.78  --inst_start_prop_sim_after_learn       3
% 4.20/17.78  --inst_sel_renew                        solver
% 4.20/17.78  --inst_lit_activity_flag                true
% 4.20/17.78  --inst_restr_to_given                   false
% 4.20/17.78  --inst_activity_threshold               500
% 4.20/17.78  
% 4.20/17.78  ------ Resolution Options
% 4.20/17.78  
% 4.20/17.78  --resolution_flag                       false
% 4.20/17.78  --res_lit_sel                           adaptive
% 4.20/17.78  --res_lit_sel_side                      none
% 4.20/17.78  --res_ordering                          kbo
% 4.20/17.78  --res_to_prop_solver                    active
% 4.20/17.78  --res_prop_simpl_new                    false
% 4.20/17.78  --res_prop_simpl_given                  true
% 4.20/17.78  --res_to_smt_solver                     true
% 4.20/17.78  --res_passive_queue_type                priority_queues
% 4.20/17.78  --res_passive_queues                    [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.20/17.78  --res_passive_queues_freq               [15;5]
% 4.20/17.78  --res_forward_subs                      full
% 4.20/17.78  --res_backward_subs                     full
% 4.20/17.78  --res_forward_subs_resolution           true
% 4.20/17.78  --res_backward_subs_resolution          true
% 4.20/17.78  --res_orphan_elimination                true
% 4.20/17.78  --res_time_limit                        300.
% 4.20/17.78  
% 4.20/17.78  ------ Superposition Options
% 4.20/17.78  
% 4.20/17.78  --superposition_flag                    false
% 4.20/17.78  --sup_passive_queue_type                priority_queues
% 4.20/17.78  --sup_passive_queues                    [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 4.20/17.78  --sup_passive_queues_freq               [8;1;4;4]
% 4.20/17.78  --twee_lhs_weight                       4
% 4.20/17.78  --sup_set_join                          false
% 4.20/17.78  --sup_set_join_goals                    true
% 4.20/17.78  --sup_set_join_limit                    1000
% 4.20/17.78  --demod_completeness_check              fast
% 4.20/17.78  --demod_use_ground                      true
% 4.20/17.78  --sup_unprocessed_bound                 0
% 4.20/17.78  --sup_to_prop_solver                    passive
% 4.20/17.78  --sup_prop_simpl_new                    true
% 4.20/17.78  --sup_prop_simpl_given                  true
% 4.20/17.78  --sup_fun_splitting                     false
% 4.20/17.78  --sup_iter_deepening                    2
% 4.20/17.78  --sup_restarts_mult                     12
% 4.20/17.78  --sup_score                             sim_d_gen
% 4.20/17.78  --sup_share_score_frac                  0.2
% 4.20/17.78  --sup_share_max_num_cl                  500
% 4.20/17.78  --sup_ordering                          kbo
% 4.20/17.78  --sup_symb_ordering                     invfreq
% 4.20/17.78  --sup_term_weight                       default
% 4.20/17.78  
% 4.20/17.78  ------ Superposition Simplification Setup
% 4.20/17.78  
% 4.20/17.78  --sup_indices_passive                   [LightNormIndex;FwDemodIndex]
% 4.20/17.78  --sup_full_triv                         [SMTSimplify;PropSubs]
% 4.20/17.78  --sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 4.20/17.78  --sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 4.20/17.78  --sup_immed_triv                        []
% 4.20/17.78  --sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 4.20/17.78  --sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
% 4.20/17.78  --sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
% 4.20/17.78  --sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 4.20/17.78  --sup_input_triv                        [Unflattening;SMTSimplify]
% 4.20/17.78  --sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 4.20/17.78  --sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 4.20/17.78  --sup_full_fixpoint                     true
% 4.20/17.78  --sup_main_fixpoint                     true
% 4.20/17.78  --sup_immed_fixpoint                    false
% 4.20/17.78  --sup_input_fixpoint                    true
% 4.20/17.78  --sup_cache_sim                         none
% 4.20/17.78  --sup_smt_interval                      500
% 4.20/17.78  --sup_bw_gjoin_interval                 0
% 4.20/17.78  
% 4.20/17.78  ------ Combination Options
% 4.20/17.78  
% 4.20/17.78  --comb_mode                             clause_based
% 4.20/17.78  --comb_inst_mult                        5
% 4.20/17.78  --comb_res_mult                         1
% 4.20/17.78  --comb_sup_mult                         8
% 4.20/17.78  --comb_sup_deep_mult                    2
% 4.20/17.78  
% 4.20/17.78  ------ Debug Options
% 4.20/17.78  
% 4.20/17.78  --dbg_backtrace                         false
% 4.20/17.78  --dbg_dump_prop_clauses                 false
% 4.20/17.78  --dbg_dump_prop_clauses_file            -
% 4.20/17.78  --dbg_out_stat                          false
% 4.20/17.78  --dbg_just_parse                        false
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  ------ Proving...
% 4.20/17.78  
% 4.20/17.78  ------ Trying domains of size >= : 3
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  ------ Proving...
% 4.20/17.78  
% 4.20/17.78  
% 4.20/17.78  % SZS status Satisfiable for theBenchmark.p
% 4.20/17.78  
% 4.20/17.78  ------ Building Model...Done
% 4.20/17.78  
% 4.20/17.78  %------ The model is defined over ground terms (initial term algebra).
% 4.20/17.78  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 4.20/17.78  %------ where \phi is a formula over the term algebra.
% 4.20/17.78  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 4.20/17.78  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 4.20/17.78  %------ See help for --sat_out_model for different model outputs.
% 4.20/17.78  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 4.20/17.78  %------ where the first argument stands for the sort ($i in the unsorted case)
% 4.20/17.78  % SZS output start Model for theBenchmark.p
% See solution above
% 16.05/17.80  
%------------------------------------------------------------------------------