TSTP Solution File: LCL673+1.005 by iProver-SAT---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : LCL673+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n001.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 : Thu Aug 31 07:58:31 EDT 2023

% Result   : CounterSatisfiable 4.20s 1.16s
% Output   : Model 4.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Negative definition of r1 
fof(lit_def,axiom,
    ! [X0,X1] :
      ( ~ r1(X0,X1)
    <=> ( X0 = iProver_Domain_i_1
        & X1 != iProver_Domain_i_1 ) ) ).

%------ Positive definition of p1 
fof(lit_def_001,axiom,
    ! [X0] :
      ( p1(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of p2 
fof(lit_def_002,axiom,
    ! [X0] :
      ( p2(X0)
    <=> $false ) ).

%------ Positive definition of sP0_iProver_split 
fof(lit_def_003,axiom,
    ( sP0_iProver_split
  <=> $false ) ).

%------ Positive definition of sP1_iProver_split 
fof(lit_def_004,axiom,
    ( sP1_iProver_split
  <=> $false ) ).

%------ Positive definition of sP2_iProver_split 
fof(lit_def_005,axiom,
    ( sP2_iProver_split
  <=> $true ) ).

%------ Positive definition of sP3_iProver_split 
fof(lit_def_006,axiom,
    ( sP3_iProver_split
  <=> $true ) ).

%------ Positive definition of sP4_iProver_split 
fof(lit_def_007,axiom,
    ( sP4_iProver_split
  <=> $true ) ).

%------ Positive definition of sP5_iProver_split 
fof(lit_def_008,axiom,
    ( sP5_iProver_split
  <=> $true ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_009,axiom,
    ( sP6_iProver_split
  <=> $true ) ).

%------ Positive definition of sP7_iProver_split 
fof(lit_def_010,axiom,
    ( sP7_iProver_split
  <=> $true ) ).

%------ Positive definition of sP8_iProver_split 
fof(lit_def_011,axiom,
    ( sP8_iProver_split
  <=> $true ) ).

%------ Positive definition of sP9_iProver_split 
fof(lit_def_012,axiom,
    ( sP9_iProver_split
  <=> $true ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_013,axiom,
    ( sP10_iProver_split
  <=> $true ) ).

%------ Positive definition of sP11_iProver_split 
fof(lit_def_014,axiom,
    ( sP11_iProver_split
  <=> $true ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_015,axiom,
    ( sP12_iProver_split
  <=> $true ) ).

%------ Positive definition of sP13_iProver_split 
fof(lit_def_016,axiom,
    ( sP13_iProver_split
  <=> $true ) ).

%------ Positive definition of sP14_iProver_split 
fof(lit_def_017,axiom,
    ( sP14_iProver_split
  <=> $true ) ).

%------ Positive definition of sP15_iProver_split 
fof(lit_def_018,axiom,
    ( sP15_iProver_split
  <=> $true ) ).

%------ Positive definition of sP16_iProver_split 
fof(lit_def_019,axiom,
    ( sP16_iProver_split
  <=> $true ) ).

%------ Positive definition of sP17_iProver_split 
fof(lit_def_020,axiom,
    ( sP17_iProver_split
  <=> $true ) ).

%------ Positive definition of sP18_iProver_split 
fof(lit_def_021,axiom,
    ( sP18_iProver_split
  <=> $true ) ).

%------ Positive definition of sP19_iProver_split 
fof(lit_def_022,axiom,
    ( sP19_iProver_split
  <=> $true ) ).

%------ Positive definition of sP20_iProver_split 
fof(lit_def_023,axiom,
    ( sP20_iProver_split
  <=> $true ) ).

%------ Positive definition of sP21_iProver_split 
fof(lit_def_024,axiom,
    ( sP21_iProver_split
  <=> $true ) ).

%------ Positive definition of sP22_iProver_split 
fof(lit_def_025,axiom,
    ( sP22_iProver_split
  <=> $true ) ).

%------ Positive definition of sP23_iProver_split 
fof(lit_def_026,axiom,
    ( sP23_iProver_split
  <=> $true ) ).

%------ Positive definition of sP24_iProver_split 
fof(lit_def_027,axiom,
    ( sP24_iProver_split
  <=> $true ) ).

%------ Positive definition of sP25_iProver_split 
fof(lit_def_028,axiom,
    ( sP25_iProver_split
  <=> $true ) ).

%------ Positive definition of sP26_iProver_split 
fof(lit_def_029,axiom,
    ( sP26_iProver_split
  <=> $true ) ).

%------ Positive definition of sP27_iProver_split 
fof(lit_def_030,axiom,
    ( sP27_iProver_split
  <=> $true ) ).

%------ Positive definition of sP28_iProver_split 
fof(lit_def_031,axiom,
    ( sP28_iProver_split
  <=> $true ) ).

%------ Positive definition of sP29_iProver_split 
fof(lit_def_032,axiom,
    ( sP29_iProver_split
  <=> $true ) ).

%------ Positive definition of sP30_iProver_split 
fof(lit_def_033,axiom,
    ( sP30_iProver_split
  <=> $true ) ).

%------ Positive definition of sP31_iProver_split 
fof(lit_def_034,axiom,
    ( sP31_iProver_split
  <=> $true ) ).

%------ Positive definition of sP32_iProver_split 
fof(lit_def_035,axiom,
    ( sP32_iProver_split
  <=> $true ) ).

%------ Positive definition of sP33_iProver_split 
fof(lit_def_036,axiom,
    ( sP33_iProver_split
  <=> $true ) ).

%------ Positive definition of sP34_iProver_split 
fof(lit_def_037,axiom,
    ( sP34_iProver_split
  <=> $true ) ).

%------ Positive definition of sP35_iProver_split 
fof(lit_def_038,axiom,
    ( sP35_iProver_split
  <=> $true ) ).

%------ Positive definition of sP36_iProver_split 
fof(lit_def_039,axiom,
    ( sP36_iProver_split
  <=> $true ) ).

%------ Positive definition of sP37_iProver_split 
fof(lit_def_040,axiom,
    ( sP37_iProver_split
  <=> $true ) ).

%------ Positive definition of sP38_iProver_split 
fof(lit_def_041,axiom,
    ( sP38_iProver_split
  <=> $true ) ).

%------ Positive definition of sP39_iProver_split 
fof(lit_def_042,axiom,
    ( sP39_iProver_split
  <=> $true ) ).

%------ Positive definition of sP40_iProver_split 
fof(lit_def_043,axiom,
    ( sP40_iProver_split
  <=> $true ) ).

%------ Positive definition of sP41_iProver_split 
fof(lit_def_044,axiom,
    ( sP41_iProver_split
  <=> $true ) ).

%------ Positive definition of sP42_iProver_split 
fof(lit_def_045,axiom,
    ( sP42_iProver_split
  <=> $true ) ).

%------ Positive definition of sP43_iProver_split 
fof(lit_def_046,axiom,
    ( sP43_iProver_split
  <=> $true ) ).

%------ Positive definition of sP44_iProver_split 
fof(lit_def_047,axiom,
    ( sP44_iProver_split
  <=> $true ) ).

%------ Positive definition of sP45_iProver_split 
fof(lit_def_048,axiom,
    ( sP45_iProver_split
  <=> $true ) ).

%------ Positive definition of sP46_iProver_split 
fof(lit_def_049,axiom,
    ( sP46_iProver_split
  <=> $true ) ).

%------ Positive definition of sP47_iProver_split 
fof(lit_def_050,axiom,
    ( sP47_iProver_split
  <=> $true ) ).

%------ Positive definition of sP48_iProver_split 
fof(lit_def_051,axiom,
    ( sP48_iProver_split
  <=> $true ) ).

%------ Positive definition of sP49_iProver_split 
fof(lit_def_052,axiom,
    ( sP49_iProver_split
  <=> $true ) ).

%------ Positive definition of sP50_iProver_split 
fof(lit_def_053,axiom,
    ( sP50_iProver_split
  <=> $true ) ).

%------ Positive definition of sP51_iProver_split 
fof(lit_def_054,axiom,
    ( sP51_iProver_split
  <=> $true ) ).

%------ Positive definition of sP52_iProver_split 
fof(lit_def_055,axiom,
    ( sP52_iProver_split
  <=> $true ) ).

%------ Positive definition of sP53_iProver_split 
fof(lit_def_056,axiom,
    ( sP53_iProver_split
  <=> $true ) ).

%------ Positive definition of sP54_iProver_split 
fof(lit_def_057,axiom,
    ( sP54_iProver_split
  <=> $true ) ).

%------ Positive definition of sP55_iProver_split 
fof(lit_def_058,axiom,
    ( sP55_iProver_split
  <=> $true ) ).

%------ Positive definition of sP56_iProver_split 
fof(lit_def_059,axiom,
    ( sP56_iProver_split
  <=> $true ) ).

%------ Positive definition of sP57_iProver_split 
fof(lit_def_060,axiom,
    ( sP57_iProver_split
  <=> $true ) ).

%------ Positive definition of sP58_iProver_split 
fof(lit_def_061,axiom,
    ( sP58_iProver_split
  <=> $true ) ).

%------ Positive definition of sP59_iProver_split 
fof(lit_def_062,axiom,
    ( sP59_iProver_split
  <=> $true ) ).

%------ Positive definition of sP60_iProver_split 
fof(lit_def_063,axiom,
    ( sP60_iProver_split
  <=> $true ) ).

%------ Positive definition of sP61_iProver_split 
fof(lit_def_064,axiom,
    ( sP61_iProver_split
  <=> $true ) ).

%------ Positive definition of sP62_iProver_split 
fof(lit_def_065,axiom,
    ( sP62_iProver_split
  <=> $true ) ).

%------ Positive definition of sP63_iProver_split 
fof(lit_def_066,axiom,
    ( sP63_iProver_split
  <=> $true ) ).

%------ Positive definition of sP64_iProver_split 
fof(lit_def_067,axiom,
    ( sP64_iProver_split
  <=> $true ) ).

%------ Positive definition of sP65_iProver_split 
fof(lit_def_068,axiom,
    ( sP65_iProver_split
  <=> $true ) ).

%------ Positive definition of sP66_iProver_split 
fof(lit_def_069,axiom,
    ( sP66_iProver_split
  <=> $true ) ).

%------ Positive definition of sP67_iProver_split 
fof(lit_def_070,axiom,
    ( sP67_iProver_split
  <=> $true ) ).

%------ Positive definition of sP68_iProver_split 
fof(lit_def_071,axiom,
    ( sP68_iProver_split
  <=> $true ) ).

%------ Positive definition of sP69_iProver_split 
fof(lit_def_072,axiom,
    ( sP69_iProver_split
  <=> $true ) ).

%------ Positive definition of sP70_iProver_split 
fof(lit_def_073,axiom,
    ( sP70_iProver_split
  <=> $true ) ).

%------ Positive definition of sP71_iProver_split 
fof(lit_def_074,axiom,
    ( sP71_iProver_split
  <=> $true ) ).

%------ Positive definition of sP72_iProver_split 
fof(lit_def_075,axiom,
    ( sP72_iProver_split
  <=> $true ) ).

%------ Positive definition of sP73_iProver_split 
fof(lit_def_076,axiom,
    ( sP73_iProver_split
  <=> $true ) ).

%------ Positive definition of sP74_iProver_split 
fof(lit_def_077,axiom,
    ( sP74_iProver_split
  <=> $true ) ).

%------ Positive definition of sP75_iProver_split 
fof(lit_def_078,axiom,
    ( sP75_iProver_split
  <=> $true ) ).

%------ Positive definition of sP76_iProver_split 
fof(lit_def_079,axiom,
    ( sP76_iProver_split
  <=> $true ) ).

%------ Positive definition of sP77_iProver_split 
fof(lit_def_080,axiom,
    ( sP77_iProver_split
  <=> $true ) ).

%------ Positive definition of sP78_iProver_split 
fof(lit_def_081,axiom,
    ( sP78_iProver_split
  <=> $true ) ).

%------ Positive definition of sP79_iProver_split 
fof(lit_def_082,axiom,
    ( sP79_iProver_split
  <=> $true ) ).

%------ Positive definition of sP80_iProver_split 
fof(lit_def_083,axiom,
    ( sP80_iProver_split
  <=> $true ) ).

%------ Positive definition of sP81_iProver_split 
fof(lit_def_084,axiom,
    ( sP81_iProver_split
  <=> $true ) ).

%------ Positive definition of sP82_iProver_split 
fof(lit_def_085,axiom,
    ( sP82_iProver_split
  <=> $true ) ).

%------ Positive definition of sP83_iProver_split 
fof(lit_def_086,axiom,
    ( sP83_iProver_split
  <=> $true ) ).

%------ Positive definition of sP84_iProver_split 
fof(lit_def_087,axiom,
    ( sP84_iProver_split
  <=> $true ) ).

%------ Positive definition of sP85_iProver_split 
fof(lit_def_088,axiom,
    ( sP85_iProver_split
  <=> $true ) ).

%------ Positive definition of sP86_iProver_split 
fof(lit_def_089,axiom,
    ( sP86_iProver_split
  <=> $true ) ).

%------ Positive definition of sP87_iProver_split 
fof(lit_def_090,axiom,
    ( sP87_iProver_split
  <=> $true ) ).

%------ Positive definition of sP88_iProver_split 
fof(lit_def_091,axiom,
    ( sP88_iProver_split
  <=> $true ) ).

%------ Positive definition of sP89_iProver_split 
fof(lit_def_092,axiom,
    ( sP89_iProver_split
  <=> $true ) ).

%------ Positive definition of sP90_iProver_split 
fof(lit_def_093,axiom,
    ( sP90_iProver_split
  <=> $true ) ).

%------ Positive definition of sP91_iProver_split 
fof(lit_def_094,axiom,
    ( sP91_iProver_split
  <=> $true ) ).

%------ Positive definition of sP92_iProver_split 
fof(lit_def_095,axiom,
    ( sP92_iProver_split
  <=> $true ) ).

%------ Positive definition of sP93_iProver_split 
fof(lit_def_096,axiom,
    ( sP93_iProver_split
  <=> $true ) ).

%------ Positive definition of sP94_iProver_split 
fof(lit_def_097,axiom,
    ( sP94_iProver_split
  <=> $true ) ).

%------ Positive definition of sP95_iProver_split 
fof(lit_def_098,axiom,
    ( sP95_iProver_split
  <=> $true ) ).

%------ Positive definition of sP96_iProver_split 
fof(lit_def_099,axiom,
    ( sP96_iProver_split
  <=> $true ) ).

%------ Positive definition of sP97_iProver_split 
fof(lit_def_100,axiom,
    ( sP97_iProver_split
  <=> $true ) ).

%------ Positive definition of sP98_iProver_split 
fof(lit_def_101,axiom,
    ( sP98_iProver_split
  <=> $true ) ).

%------ Positive definition of sP99_iProver_split 
fof(lit_def_102,axiom,
    ( sP99_iProver_split
  <=> $true ) ).

%------ Positive definition of sP100_iProver_split 
fof(lit_def_103,axiom,
    ( sP100_iProver_split
  <=> $true ) ).

%------ Positive definition of sP101_iProver_split 
fof(lit_def_104,axiom,
    ( sP101_iProver_split
  <=> $true ) ).

%------ Positive definition of iProver_Flat_sK1 
fof(lit_def_105,axiom,
    ! [X0] :
      ( iProver_Flat_sK1(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK0 
fof(lit_def_106,axiom,
    ! [X0] :
      ( iProver_Flat_sK0(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK3 
fof(lit_def_107,axiom,
    ! [X0] :
      ( iProver_Flat_sK3(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK2 
fof(lit_def_108,axiom,
    ! [X0] :
      ( iProver_Flat_sK2(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK5 
fof(lit_def_109,axiom,
    ! [X0] :
      ( iProver_Flat_sK5(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK4 
fof(lit_def_110,axiom,
    ! [X0] :
      ( iProver_Flat_sK4(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK7 
fof(lit_def_111,axiom,
    ! [X0] :
      ( iProver_Flat_sK7(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK6 
fof(lit_def_112,axiom,
    ! [X0] :
      ( iProver_Flat_sK6(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK9 
fof(lit_def_113,axiom,
    ! [X0] :
      ( iProver_Flat_sK9(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK8 
fof(lit_def_114,axiom,
    ! [X0] :
      ( iProver_Flat_sK8(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK11 
fof(lit_def_115,axiom,
    ! [X0] :
      ( iProver_Flat_sK11(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK10 
fof(lit_def_116,axiom,
    ! [X0] :
      ( iProver_Flat_sK10(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK12 
fof(lit_def_117,axiom,
    ! [X0] :
      ( iProver_Flat_sK12(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK13 
fof(lit_def_118,axiom,
    ! [X0] :
      ( iProver_Flat_sK13(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK14 
fof(lit_def_119,axiom,
    ! [X0] :
      ( iProver_Flat_sK14(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK15 
fof(lit_def_120,axiom,
    ! [X0] :
      ( iProver_Flat_sK15(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK16 
fof(lit_def_121,axiom,
    ! [X0] :
      ( iProver_Flat_sK16(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Negative definition of iProver_Flat_sK17 
fof(lit_def_122,axiom,
    ! [X0] :
      ( ~ iProver_Flat_sK17(X0)
    <=> $false ) ).

%------ Positive definition of iProver_Flat_sK18 
fof(lit_def_123,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK18(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK19 
fof(lit_def_124,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK19(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK20 
fof(lit_def_125,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK20(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK21 
fof(lit_def_126,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK21(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK22 
fof(lit_def_127,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK22(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK23 
fof(lit_def_128,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK23(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK24 
fof(lit_def_129,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK24(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK25 
fof(lit_def_130,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK25(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK26 
fof(lit_def_131,axiom,
    ! [X0] :
      ( iProver_Flat_sK26(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK28 
fof(lit_def_132,axiom,
    ! [X0] :
      ( iProver_Flat_sK28(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK27 
fof(lit_def_133,axiom,
    ! [X0] :
      ( iProver_Flat_sK27(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK30 
fof(lit_def_134,axiom,
    ! [X0] :
      ( iProver_Flat_sK30(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK29 
fof(lit_def_135,axiom,
    ! [X0] :
      ( iProver_Flat_sK29(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK32 
fof(lit_def_136,axiom,
    ! [X0] :
      ( iProver_Flat_sK32(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK31 
fof(lit_def_137,axiom,
    ! [X0] :
      ( iProver_Flat_sK31(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK34 
fof(lit_def_138,axiom,
    ! [X0] :
      ( iProver_Flat_sK34(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK33 
fof(lit_def_139,axiom,
    ! [X0] :
      ( iProver_Flat_sK33(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK36 
fof(lit_def_140,axiom,
    ! [X0] :
      ( iProver_Flat_sK36(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK35 
fof(lit_def_141,axiom,
    ! [X0] :
      ( iProver_Flat_sK35(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK37 
fof(lit_def_142,axiom,
    ! [X0] :
      ( iProver_Flat_sK37(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK38 
fof(lit_def_143,axiom,
    ! [X0] :
      ( iProver_Flat_sK38(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK39 
fof(lit_def_144,axiom,
    ! [X0] :
      ( iProver_Flat_sK39(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK40 
fof(lit_def_145,axiom,
    ! [X0] :
      ( iProver_Flat_sK40(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK41 
fof(lit_def_146,axiom,
    ! [X0] :
      ( iProver_Flat_sK41(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Negative definition of iProver_Flat_sK42 
fof(lit_def_147,axiom,
    ! [X0] :
      ( ~ iProver_Flat_sK42(X0)
    <=> $false ) ).

%------ Positive definition of iProver_Flat_sK43 
fof(lit_def_148,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK43(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK44 
fof(lit_def_149,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK44(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK45 
fof(lit_def_150,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK45(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK46 
fof(lit_def_151,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK46(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK47 
fof(lit_def_152,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK47(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK48 
fof(lit_def_153,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK48(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK49 
fof(lit_def_154,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK49(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK50 
fof(lit_def_155,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK50(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK51 
fof(lit_def_156,axiom,
    ! [X0] :
      ( iProver_Flat_sK51(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK53 
fof(lit_def_157,axiom,
    ! [X0] :
      ( iProver_Flat_sK53(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK52 
fof(lit_def_158,axiom,
    ! [X0] :
      ( iProver_Flat_sK52(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK55 
fof(lit_def_159,axiom,
    ! [X0] :
      ( iProver_Flat_sK55(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK54 
fof(lit_def_160,axiom,
    ! [X0] :
      ( iProver_Flat_sK54(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK57 
fof(lit_def_161,axiom,
    ! [X0] :
      ( iProver_Flat_sK57(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK56 
fof(lit_def_162,axiom,
    ! [X0] :
      ( iProver_Flat_sK56(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK59 
fof(lit_def_163,axiom,
    ! [X0] :
      ( iProver_Flat_sK59(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK58 
fof(lit_def_164,axiom,
    ! [X0] :
      ( iProver_Flat_sK58(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK61 
fof(lit_def_165,axiom,
    ! [X0] :
      ( iProver_Flat_sK61(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK60 
fof(lit_def_166,axiom,
    ! [X0] :
      ( iProver_Flat_sK60(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK62 
fof(lit_def_167,axiom,
    ! [X0] :
      ( iProver_Flat_sK62(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK63 
fof(lit_def_168,axiom,
    ! [X0] :
      ( iProver_Flat_sK63(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK64 
fof(lit_def_169,axiom,
    ! [X0] :
      ( iProver_Flat_sK64(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK65 
fof(lit_def_170,axiom,
    ! [X0] :
      ( iProver_Flat_sK65(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK66 
fof(lit_def_171,axiom,
    ! [X0] :
      ( iProver_Flat_sK66(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Negative definition of iProver_Flat_sK67 
fof(lit_def_172,axiom,
    ! [X0] :
      ( ~ iProver_Flat_sK67(X0)
    <=> $false ) ).

%------ Positive definition of iProver_Flat_sK68 
fof(lit_def_173,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK68(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK69 
fof(lit_def_174,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK69(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK70 
fof(lit_def_175,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK70(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK71 
fof(lit_def_176,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK71(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK72 
fof(lit_def_177,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK72(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK73 
fof(lit_def_178,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK73(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK74 
fof(lit_def_179,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK74(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK75 
fof(lit_def_180,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK75(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK76 
fof(lit_def_181,axiom,
    ! [X0] :
      ( iProver_Flat_sK76(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK78 
fof(lit_def_182,axiom,
    ! [X0] :
      ( iProver_Flat_sK78(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK77 
fof(lit_def_183,axiom,
    ! [X0] :
      ( iProver_Flat_sK77(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK80 
fof(lit_def_184,axiom,
    ! [X0] :
      ( iProver_Flat_sK80(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK79 
fof(lit_def_185,axiom,
    ! [X0] :
      ( iProver_Flat_sK79(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK82 
fof(lit_def_186,axiom,
    ! [X0] :
      ( iProver_Flat_sK82(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK81 
fof(lit_def_187,axiom,
    ! [X0] :
      ( iProver_Flat_sK81(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK84 
fof(lit_def_188,axiom,
    ! [X0] :
      ( iProver_Flat_sK84(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK83 
fof(lit_def_189,axiom,
    ! [X0] :
      ( iProver_Flat_sK83(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK86 
fof(lit_def_190,axiom,
    ! [X0] :
      ( iProver_Flat_sK86(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK85 
fof(lit_def_191,axiom,
    ! [X0] :
      ( iProver_Flat_sK85(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK87 
fof(lit_def_192,axiom,
    ! [X0] :
      ( iProver_Flat_sK87(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK88 
fof(lit_def_193,axiom,
    ! [X0] :
      ( iProver_Flat_sK88(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK89 
fof(lit_def_194,axiom,
    ! [X0] :
      ( iProver_Flat_sK89(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK90 
fof(lit_def_195,axiom,
    ! [X0] :
      ( iProver_Flat_sK90(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK91 
fof(lit_def_196,axiom,
    ! [X0] :
      ( iProver_Flat_sK91(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Negative definition of iProver_Flat_sK92 
fof(lit_def_197,axiom,
    ! [X0] :
      ( ~ iProver_Flat_sK92(X0)
    <=> $false ) ).

%------ Positive definition of iProver_Flat_sK93 
fof(lit_def_198,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK93(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK94 
fof(lit_def_199,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK94(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK95 
fof(lit_def_200,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK95(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK96 
fof(lit_def_201,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK96(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK97 
fof(lit_def_202,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK97(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK98 
fof(lit_def_203,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK98(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK99 
fof(lit_def_204,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK99(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK100 
fof(lit_def_205,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK100(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK101 
fof(lit_def_206,axiom,
    ! [X0] :
      ( iProver_Flat_sK101(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK103 
fof(lit_def_207,axiom,
    ! [X0] :
      ( iProver_Flat_sK103(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK102 
fof(lit_def_208,axiom,
    ! [X0] :
      ( iProver_Flat_sK102(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK105 
fof(lit_def_209,axiom,
    ! [X0] :
      ( iProver_Flat_sK105(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK104 
fof(lit_def_210,axiom,
    ! [X0] :
      ( iProver_Flat_sK104(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK107 
fof(lit_def_211,axiom,
    ! [X0] :
      ( iProver_Flat_sK107(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK106 
fof(lit_def_212,axiom,
    ! [X0] :
      ( iProver_Flat_sK106(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK109 
fof(lit_def_213,axiom,
    ! [X0] :
      ( iProver_Flat_sK109(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK108 
fof(lit_def_214,axiom,
    ! [X0] :
      ( iProver_Flat_sK108(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK111 
fof(lit_def_215,axiom,
    ! [X0] :
      ( iProver_Flat_sK111(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK110 
fof(lit_def_216,axiom,
    ! [X0] :
      ( iProver_Flat_sK110(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK112 
fof(lit_def_217,axiom,
    ! [X0] :
      ( iProver_Flat_sK112(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK113 
fof(lit_def_218,axiom,
    ! [X0] :
      ( iProver_Flat_sK113(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK114 
fof(lit_def_219,axiom,
    ! [X0] :
      ( iProver_Flat_sK114(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK115 
fof(lit_def_220,axiom,
    ! [X0] :
      ( iProver_Flat_sK115(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK116 
fof(lit_def_221,axiom,
    ! [X0] :
      ( iProver_Flat_sK116(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK117 
fof(lit_def_222,axiom,
    ! [X0] :
      ( iProver_Flat_sK117(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK118 
fof(lit_def_223,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK118(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK119 
fof(lit_def_224,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK119(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK120 
fof(lit_def_225,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK120(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK121 
fof(lit_def_226,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK121(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK122 
fof(lit_def_227,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK122(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK123 
fof(lit_def_228,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK123(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK124 
fof(lit_def_229,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK124(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK125 
fof(lit_def_230,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK125(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL673+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d SAT
% 0.13/0.35  % Computer : n001.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 18:38:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running model finding
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.20/1.16  % SZS status Started for theBenchmark.p
% 4.20/1.16  % SZS status CounterSatisfiable for theBenchmark.p
% 4.20/1.16  
% 4.20/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.20/1.16  
% 4.20/1.16  ------  iProver source info
% 4.20/1.16  
% 4.20/1.16  git: date: 2023-05-31 18:12:56 +0000
% 4.20/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.20/1.16  git: non_committed_changes: false
% 4.20/1.16  git: last_make_outside_of_git: false
% 4.20/1.16  
% 4.20/1.16  ------ Parsing...
% 4.20/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.20/1.16  
% 4.20/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.20/1.16  
% 4.20/1.16  ------ Preprocessing... gs_s  sp: 300 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.20/1.16  ------ Proving...
% 4.20/1.16  ------ Problem Properties 
% 4.20/1.16  
% 4.20/1.16  
% 4.20/1.16  clauses                                 349
% 4.20/1.16  conjectures                             347
% 4.20/1.16  EPR                                     249
% 4.20/1.16  Horn                                    155
% 4.20/1.16  unary                                   141
% 4.20/1.16  binary                                  5
% 4.20/1.16  lits                                    2070
% 4.20/1.16  lits eq                                 0
% 4.20/1.16  fd_pure                                 0
% 4.20/1.16  fd_pseudo                               0
% 4.20/1.16  fd_cond                                 0
% 4.20/1.16  fd_pseudo_cond                          0
% 4.20/1.16  AC symbols                              0
% 4.20/1.16  
% 4.20/1.16  ------ Input Options Time Limit: Unbounded
% 4.20/1.16  
% 4.20/1.16  
% 4.20/1.16  ------ Finite Models:
% 4.20/1.16  
% 4.20/1.16  ------ lit_activity_flag true
% 4.20/1.16  
% 4.20/1.16  
% 4.20/1.16  ------ Trying domains of size >= : 1
% 4.20/1.16  
% 4.20/1.16  ------ Trying domains of size >= : 2
% 4.20/1.16  ------ 
% 4.20/1.16  Current options:
% 4.20/1.16  ------ 
% 4.20/1.16  
% 4.20/1.16  
% 4.20/1.16  
% 4.20/1.16  
% 4.20/1.16  ------ Proving...
% 4.20/1.16  
% 4.20/1.16  
% 4.20/1.16  % SZS status CounterSatisfiable for theBenchmark.p
% 4.20/1.16  
% 4.20/1.16  ------ Building Model...Done
% 4.20/1.16  
% 4.20/1.16  %------ The model is defined over ground terms (initial term algebra).
% 4.20/1.16  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 4.20/1.16  %------ where \phi is a formula over the term algebra.
% 4.20/1.16  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 4.20/1.16  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 4.20/1.16  %------ See help for --sat_out_model for different model outputs.
% 4.20/1.16  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 4.20/1.16  %------ where the first argument stands for the sort ($i in the unsorted case)
% 4.20/1.16  % SZS output start Model for theBenchmark.p
% See solution above
% 4.20/1.16  ------                               Statistics
% 4.20/1.16  
% 4.20/1.16  ------ Selected
% 4.20/1.16  
% 4.20/1.16  sim_connectedness:                      0
% 4.20/1.16  total_time:                             0.418
% 4.20/1.16  inst_time_total:                        0.105
% 4.20/1.16  res_time_total:                         0.009
% 4.20/1.16  sup_time_total:                         0.
% 4.20/1.16  sim_time_fw_connected:                  0.
% 4.20/1.16  
%------------------------------------------------------------------------------