TSTP Solution File: SYN428-1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN428-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:07:06 EDT 2023

% Result   : Satisfiable 8.04s 1.66s
% Output   : Model 8.04s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

%------ Positive definition of c2_0 
fof(lit_def_002,axiom,
    ( c2_0
  <=> $false ) ).

%------ Positive definition of ssSkC39 
fof(lit_def_003,axiom,
    ( ssSkC39
  <=> $false ) ).

%------ Positive definition of ssSkC28 
fof(lit_def_004,axiom,
    ( ssSkC28
  <=> $false ) ).

%------ Positive definition of ssSkC12 
fof(lit_def_005,axiom,
    ( ssSkC12
  <=> $false ) ).

%------ Positive definition of ssSkC4 
fof(lit_def_006,axiom,
    ( ssSkC4
  <=> $true ) ).

%------ Positive definition of c5_0 
fof(lit_def_007,axiom,
    ( c5_0
  <=> $true ) ).

%------ Positive definition of c9_0 
fof(lit_def_008,axiom,
    ( c9_0
  <=> $false ) ).

%------ Positive definition of c1_0 
fof(lit_def_009,axiom,
    ( c1_0
  <=> $true ) ).

%------ Positive definition of c7_0 
fof(lit_def_010,axiom,
    ( c7_0
  <=> $true ) ).

%------ Positive definition of ssSkC43 
fof(lit_def_011,axiom,
    ( ssSkC43
  <=> $true ) ).

%------ Positive definition of ssSkC42 
fof(lit_def_012,axiom,
    ( ssSkC42
  <=> $false ) ).

%------ Positive definition of ssSkC40 
fof(lit_def_013,axiom,
    ( ssSkC40
  <=> $true ) ).

%------ Positive definition of ssSkC37 
fof(lit_def_014,axiom,
    ( ssSkC37
  <=> $true ) ).

%------ Positive definition of ssSkC36 
fof(lit_def_015,axiom,
    ( ssSkC36
  <=> $true ) ).

%------ Positive definition of ssSkC31 
fof(lit_def_016,axiom,
    ( ssSkC31
  <=> $true ) ).

%------ Positive definition of ssSkC30 
fof(lit_def_017,axiom,
    ( ssSkC30
  <=> $false ) ).

%------ Positive definition of ssSkC29 
fof(lit_def_018,axiom,
    ( ssSkC29
  <=> $true ) ).

%------ Positive definition of ssSkC26 
fof(lit_def_019,axiom,
    ( ssSkC26
  <=> $true ) ).

%------ Positive definition of ssSkC24 
fof(lit_def_020,axiom,
    ( ssSkC24
  <=> $false ) ).

%------ Positive definition of ssSkC23 
fof(lit_def_021,axiom,
    ( ssSkC23
  <=> $true ) ).

%------ Positive definition of ssSkC22 
fof(lit_def_022,axiom,
    ( ssSkC22
  <=> $true ) ).

%------ Positive definition of ssSkC19 
fof(lit_def_023,axiom,
    ( ssSkC19
  <=> $true ) ).

%------ Positive definition of ssSkC18 
fof(lit_def_024,axiom,
    ( ssSkC18
  <=> $true ) ).

%------ Positive definition of ssSkC17 
fof(lit_def_025,axiom,
    ( ssSkC17
  <=> $true ) ).

%------ Positive definition of ssSkC16 
fof(lit_def_026,axiom,
    ( ssSkC16
  <=> $false ) ).

%------ Positive definition of ssSkC13 
fof(lit_def_027,axiom,
    ( ssSkC13
  <=> $false ) ).

%------ Positive definition of ssSkC11 
fof(lit_def_028,axiom,
    ( ssSkC11
  <=> $true ) ).

%------ Positive definition of ssSkC9 
fof(lit_def_029,axiom,
    ( ssSkC9
  <=> $true ) ).

%------ Positive definition of ssSkC8 
fof(lit_def_030,axiom,
    ( ssSkC8
  <=> $true ) ).

%------ Positive definition of ssSkC7 
fof(lit_def_031,axiom,
    ( ssSkC7
  <=> $true ) ).

%------ Positive definition of ssSkC5 
fof(lit_def_032,axiom,
    ( ssSkC5
  <=> $true ) ).

%------ Positive definition of ssSkC3 
fof(lit_def_033,axiom,
    ( ssSkC3
  <=> $true ) ).

%------ Positive definition of ssSkC2 
fof(lit_def_034,axiom,
    ( ssSkC2
  <=> $false ) ).

%------ Positive definition of ssSkC1 
fof(lit_def_035,axiom,
    ( ssSkC1
  <=> $false ) ).

%------ Positive definition of ssSkC0 
fof(lit_def_036,axiom,
    ( ssSkC0
  <=> $false ) ).

%------ Positive definition of c10_1 
fof(lit_def_037,axiom,
    ! [X0_13] :
      ( c10_1(X0_13)
    <=> X0_13 = a1877 ) ).

%------ Positive definition of c3_0 
fof(lit_def_038,axiom,
    ( c3_0
  <=> $true ) ).

%------ Negative definition of c8_1 
fof(lit_def_039,axiom,
    ! [X0_13] :
      ( ~ c8_1(X0_13)
    <=> ( X0_13 = a2023
        | X0_13 = a2021
        | X0_13 = a1933
        | X0_13 = a1885 ) ) ).

%------ Negative definition of c3_1 
fof(lit_def_040,axiom,
    ! [X0_13] :
      ( ~ c3_1(X0_13)
    <=> ( X0_13 = a1997
        | X0_13 = a1951
        | X0_13 = a2021
        | X0_13 = a2001
        | X0_13 = a1921
        | X0_13 = a1881
        | X0_13 = a1877
        | X0_13 = a1933
        | X0_13 = a1869
        | X0_13 = a1896 ) ) ).

%------ Negative definition of ndr1_1 
fof(lit_def_041,axiom,
    ! [X0_13] :
      ( ~ ndr1_1(X0_13)
    <=> ( X0_13 = a2017
        | X0_13 = a2014
        | X0_13 = a1903
        | X0_13 = a1845
        | X0_13 = a1885
        | X0_13 = a1975
        | X0_13 = a1857
        | X0_13 = a1952
        | X0_13 = a1945 ) ) ).

%------ Positive definition of ssSkC32 
fof(lit_def_042,axiom,
    ( ssSkC32
  <=> $false ) ).

%------ Positive definition of ssSkC33 
fof(lit_def_043,axiom,
    ( ssSkC33
  <=> $true ) ).

%------ Positive definition of c5_1 
fof(lit_def_044,axiom,
    ! [X0_13] :
      ( c5_1(X0_13)
    <=> ( X0_13 = a1963
        | X0_13 = a1950
        | X0_13 = a1879
        | X0_13 = a1997
        | X0_13 = a1951
        | X0_13 = a1907
        | X0_13 = a2021
        | X0_13 = a2001
        | X0_13 = a1921
        | X0_13 = a1881
        | X0_13 = a1877
        | X0_13 = a1933
        | X0_13 = a1926
        | X0_13 = a1869
        | X0_13 = a1896 ) ) ).

%------ Positive definition of ssSkC25 
fof(lit_def_045,axiom,
    ( ssSkC25
  <=> $true ) ).

%------ Positive definition of ssSkC20 
fof(lit_def_046,axiom,
    ( ssSkC20
  <=> $false ) ).

%------ Positive definition of ssSkC21 
fof(lit_def_047,axiom,
    ( ssSkC21
  <=> $true ) ).

%------ Positive definition of ssSkC14 
fof(lit_def_048,axiom,
    ( ssSkC14
  <=> $true ) ).

%------ Positive definition of c8_0 
fof(lit_def_049,axiom,
    ( c8_0
  <=> $false ) ).

%------ Positive definition of c6_0 
fof(lit_def_050,axiom,
    ( c6_0
  <=> $false ) ).

%------ Positive definition of ssSkP16 
fof(lit_def_051,axiom,
    ! [X0_13] :
      ( ssSkP16(X0_13)
    <=> $true ) ).

%------ Positive definition of c4_1 
fof(lit_def_052,axiom,
    ! [X0_13] :
      ( c4_1(X0_13)
    <=> ( X0_13 = a1997
        | X0_13 = a1951
        | X0_13 = a1921
        | X0_13 = a1877
        | X0_13 = a1869
        | X0_13 = a1896 ) ) ).

%------ Positive definition of c2_1 
fof(lit_def_053,axiom,
    ! [X0_13] :
      ( c2_1(X0_13)
    <=> ( X0_13 = a2027
        | X0_13 = a2014
        | X0_13 = a1845
        | X0_13 = a1839
        | X0_13 = a2001 ) ) ).

%------ Positive definition of ssSkP15 
fof(lit_def_054,axiom,
    ! [X0_13] :
      ( ssSkP15(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP14 
fof(lit_def_055,axiom,
    ! [X0_13] :
      ( ssSkP14(X0_13)
    <=> $true ) ).

%------ Negative definition of ssSkP13 
fof(lit_def_056,axiom,
    ! [X0_13] :
      ( ~ ssSkP13(X0_13)
    <=> X0_13 = a1877 ) ).

%------ Positive definition of ssSkP12 
fof(lit_def_057,axiom,
    ! [X0_13] :
      ( ssSkP12(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP11 
fof(lit_def_058,axiom,
    ! [X0_13] :
      ( ssSkP11(X0_13)
    <=> $true ) ).

%------ Positive definition of c1_1 
fof(lit_def_059,axiom,
    ! [X0_13] :
      ( c1_1(X0_13)
    <=> ( X0_13 = a1845
        | X0_13 = a1907 ) ) ).

%------ Positive definition of c9_1 
fof(lit_def_060,axiom,
    ! [X0_13] :
      ( c9_1(X0_13)
    <=> X0_13 = a1869 ) ).

%------ Positive definition of ssSkP10 
fof(lit_def_061,axiom,
    ! [X0_13] :
      ( ssSkP10(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP9 
fof(lit_def_062,axiom,
    ! [X0_13] :
      ( ssSkP9(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP8 
fof(lit_def_063,axiom,
    ! [X0_13] :
      ( ssSkP8(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP7 
fof(lit_def_064,axiom,
    ! [X0_13] :
      ( ssSkP7(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP6 
fof(lit_def_065,axiom,
    ! [X0_13] :
      ( ssSkP6(X0_13)
    <=> $true ) ).

%------ Positive definition of c6_1 
fof(lit_def_066,axiom,
    ! [X0_13] :
      ( c6_1(X0_13)
    <=> $false ) ).

%------ Positive definition of ssSkP5 
fof(lit_def_067,axiom,
    ! [X0_13] :
      ( ssSkP5(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP4 
fof(lit_def_068,axiom,
    ! [X0_13] :
      ( ssSkP4(X0_13)
    <=> $true ) ).

%------ Positive definition of c7_1 
fof(lit_def_069,axiom,
    ! [X0_13] :
      ( c7_1(X0_13)
    <=> X0_13 = a1970 ) ).

%------ Positive definition of ssSkP3 
fof(lit_def_070,axiom,
    ! [X0_13] :
      ( ssSkP3(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP2 
fof(lit_def_071,axiom,
    ! [X0_13] :
      ( ssSkP2(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP1 
fof(lit_def_072,axiom,
    ! [X0_13] :
      ( ssSkP1(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkP0 
fof(lit_def_073,axiom,
    ! [X0_13] :
      ( ssSkP0(X0_13)
    <=> $true ) ).

%------ Positive definition of ssSkC35 
fof(lit_def_074,axiom,
    ( ssSkC35
  <=> $false ) ).

%------ Positive definition of c2_2 
fof(lit_def_075,axiom,
    ! [X0_13,X0_14] :
      ( c2_2(X0_13,X0_14)
    <=> ( ( X0_13 = a1865
          & X0_14 = a1868 )
        | ( X0_13 = a1839
          & X0_14 = a1840 ) ) ) ).

%------ Negative definition of c3_2 
fof(lit_def_076,axiom,
    ! [X0_13,X0_14] :
      ( ~ c3_2(X0_13,X0_14)
    <=> ( X0_13 = a2029
        | X0_13 = a2019
        | X0_13 = a2014
        | ( X0_13 = a1998
          & X0_14 = a2000 )
        | X0_13 = a1939
        | ( X0_13 = a1910
          & X0_14 = a1911 )
        | ( X0_13 = a1879
          & X0_14 = a1880 )
        | ( X0_13 = a2021
          & X0_14 = a1883 )
        | ( X0_13 = a2001
          & X0_14 = a1929 )
        | X0_13 = a1995
        | ( X0_13 = a1890
          & X0_14 = a1891 )
        | X0_13 = a1877
        | ( X0_13 = a1877
          & X0_14 = a1883 )
        | X0_13 = a1860
        | ( X0_13 = a1960
          & X0_14 = a1961 )
        | ( X0_13 = a1869
          & X0_14 = a1883 )
        | X0_13 = a1945
        | ( X0_13 = a1896
          & X0_14 = a1897 )
        | ( X0_14 = a1929
          & X0_13 != a2014
          & X0_13 != a1839
          & X0_13 != a2001 )
        | X0_14 = a1883
        | X0_14 = a1942 ) ) ).

%------ Positive definition of c8_2 
fof(lit_def_077,axiom,
    ! [X0_13,X0_14] :
      ( c8_2(X0_13,X0_14)
    <=> ( ( X0_13 = a1865
          & X0_14 = a1866 )
        | ( X0_13 = a1976
          & X0_14 = a1977 )
        | ( X0_13 = a1839
          & X0_14 = a1840 )
        | ( X0_13 = a2001
          & X0_14 = a1983 )
        | ( X0_13 = a2001
          & X0_14 = a1929 )
        | ( X0_13 = a1851
          & X0_14 = a1940 )
        | ( X0_13 = a1851
          & X0_14 = a1883 )
        | ( X0_13 = a1933
          & X0_14 = a1934 )
        | ( X0_14 = a1940
          & X0_13 != a1903
          & X0_13 != a1875
          & X0_13 != a1997
          & X0_13 != a1924
          & X0_13 != a1995
          & X0_13 != a1851
          & X0_13 != a1933
          & X0_13 != a1935 )
        | ( X0_14 = a1883
          & X0_13 != a1903
          & X0_13 != a1875
          & X0_13 != a1924
          & X0_13 != a1877
          & X0_13 != a1851
          & X0_13 != a1935 ) ) ) ).

%------ Negative definition of c4_2 
fof(lit_def_078,axiom,
    ! [X0_13,X0_14] :
      ( ~ c4_2(X0_13,X0_14)
    <=> ( X0_13 = a2029
        | ( X0_13 = a1865
          & X0_14 = a1866 )
        | X0_13 = a1979
        | ( X0_13 = a1950
          & X0_14 != a2026 )
        | X0_13 = a1946
        | ( X0_13 = a1910
          & X0_14 = a1911 )
        | X0_13 = a1903
        | X0_13 = a1845
        | ( X0_13 = a1997
          & X0_14 != a1883 )
        | ( X0_13 = a1907
          & X0_14 != a2026 )
        | ( X0_13 = a1881
          & X0_14 = a1882 )
        | ( X0_13 = a1877
          & X0_14 != a1990
          & X0_14 != a1878
          & X0_14 != a1982
          & X0_14 != a1883 )
        | ( X0_13 = a1877
          & X0_14 = a1991 )
        | ( X0_13 = a1970
          & X0_14 != a1883 )
        | ( X0_13 = a1869
          & X0_14 != a1982
          & X0_14 != a1883 )
        | X0_13 = a1945
        | ( X0_14 = a1982
          & X0_13 != a1877
          & X0_13 != a1869 )
        | X0_14 = a2018
        | X0_14 = a1836
        | X0_14 = a2024
        | ( X0_14 = a2013
          & X0_13 != a1877 ) ) ) ).

%------ Positive definition of c7_2 
fof(lit_def_079,axiom,
    ! [X0_13,X0_14] :
      ( c7_2(X0_13,X0_14)
    <=> ( ( X0_13 = a1976
          & X0_14 = a1977 )
        | ( X0_13 = a1896
          & X0_14 = a1897 ) ) ) ).

%------ Positive definition of c6_2 
fof(lit_def_080,axiom,
    ! [X0_13,X0_14] :
      ( c6_2(X0_13,X0_14)
    <=> ( ( X0_13 = a1998
          & X0_14 = a2000 )
        | ( X0_13 = a1879
          & X0_14 = a1880 )
        | ( X0_13 = a2021
          & X0_14 = a1883 )
        | ( X0_13 = a1877
          & X0_14 = a1883 )
        | ( X0_13 = a1869
          & X0_14 = a1883 )
        | ( X0_13 = a1896
          & X0_14 = a1897 )
        | ( X0_14 = a1883
          & X0_13 != a2017
          & X0_13 != a1963
          & X0_13 != a1865
          & X0_13 != a2014
          & X0_13 != a1976
          & X0_13 != a1950
          & X0_13 != a1946
          & X0_13 != a1919
          & X0_13 != a1903
          & X0_13 != a1884
          & X0_13 != a1879
          & X0_13 != a1839
          & X0_13 != a1907
          & X0_13 != a1899
          & X0_13 != a1848
          & X0_13 != a2023
          & X0_13 != a2021
          & X0_13 != a2004
          & X0_13 != a1890
          & X0_13 != a1877
          & X0_13 != a1933
          & X0_13 != a1926
          & X0_13 != a1885
          & X0_13 != a1869 ) ) ) ).

%------ Positive definition of c9_2 
fof(lit_def_081,axiom,
    ! [X0_13,X0_14] :
      ( c9_2(X0_13,X0_14)
    <=> ( ( X0_13 = a2001
          & X0_14 = a2002 )
        | ( X0_13 = a1877
          & X0_14 = a1883 )
        | ( X0_13 = a1869
          & X0_14 = a1883 )
        | ( X0_14 = a1883
          & X0_13 != a2017
          & X0_13 != a1963
          & X0_13 != a1865
          & X0_13 != a2014
          & X0_13 != a1976
          & X0_13 != a1950
          & X0_13 != a1946
          & X0_13 != a1903
          & X0_13 != a1884
          & X0_13 != a1875
          & X0_13 != a1839
          & X0_13 != a1907
          & X0_13 != a1899
          & X0_13 != a1924
          & X0_13 != a1848
          & X0_13 != a2023
          & X0_13 != a2021
          & X0_13 != a2004
          & X0_13 != a1890
          & X0_13 != a1877
          & X0_13 != a1933
          & X0_13 != a1926
          & X0_13 != a1894
          & X0_13 != a1885
          & X0_13 != a1935
          & X0_13 != a1869
          & X0_13 != a1928
          & X0_13 != a1917 ) ) ) ).

%------ Positive definition of c1_2 
fof(lit_def_082,axiom,
    ! [X0_13,X0_14] :
      ( c1_2(X0_13,X0_14)
    <=> ( ( X0_13 = a1998
          & X0_14 = a2000 )
        | ( X0_13 = a2001
          & X0_14 = a1983 )
        | ( X0_13 = a1881
          & X0_14 = a1882 )
        | ( X0_13 = a1877
          & X0_14 = a1883 )
        | ( X0_14 = a1927
          & X0_13 != a1884
          & X0_13 != a2004 ) ) ) ).

%------ Positive definition of c10_2 
fof(lit_def_083,axiom,
    ! [X0_13,X0_14] :
      ( c10_2(X0_13,X0_14)
    <=> ( ( X0_13 = a2029
          & X0_14 = a1982 )
        | ( X0_13 = a2015
          & X0_14 = a1982 )
        | ( X0_13 = a1963
          & X0_14 = a1982 )
        | ( X0_13 = a1998
          & X0_14 = a1999 )
        | ( X0_13 = a1939
          & X0_14 = a1982 )
        | ( X0_13 = a1997
          & X0_14 = a1982 )
        | ( X0_13 = a1877
          & X0_14 = a1990 )
        | ( X0_13 = a1877
          & X0_14 = a1878 )
        | ( X0_13 = a1877
          & X0_14 = a1982 )
        | ( X0_13 = a1933
          & X0_14 = a1982 )
        | ( X0_13 = a1869
          & X0_14 = a1982 )
        | ( X0_13 = a1895
          & X0_14 = a1982 )
        | ( X0_14 = a1982
          & X0_13 != a2029
          & X0_13 != a2015
          & X0_13 != a1963
          & X0_13 != a2019
          & X0_13 != a2014
          & X0_13 != a1939
          & X0_13 != a1997
          & X0_13 != a1907
          & X0_13 != a1995
          & X0_13 != a1877
          & X0_13 != a1933
          & X0_13 != a1860
          & X0_13 != a1869
          & X0_13 != a1895
          & X0_13 != a1945 )
        | ( X0_14 = a2024
          & X0_13 != a2029
          & X0_13 != a2015
          & X0_13 != a1963
          & X0_13 != a2019
          & X0_13 != a2014
          & X0_13 != a1939
          & X0_13 != a1907
          & X0_13 != a1995
          & X0_13 != a1877
          & X0_13 != a1860
          & X0_13 != a1869
          & X0_13 != a1895
          & X0_13 != a1945 ) ) ) ).

%------ Positive definition of c5_2 
fof(lit_def_084,axiom,
    ! [X0_13,X0_14] :
      ( c5_2(X0_13,X0_14)
    <=> ( ( X0_13 = a1879
          & X0_14 = a1880 )
        | ( X0_13 = a1997
          & X0_14 = a1982 )
        | ( X0_13 = a1848
          & X0_14 = a1982 )
        | ( X0_13 = a2001
          & X0_14 = a2002 )
        | ( X0_13 = a1995
          & X0_14 = a1996 )
        | ( X0_13 = a1890
          & X0_14 = a1891 )
        | ( X0_13 = a1877
          & X0_14 = a1883 )
        | ( X0_13 = a1933
          & X0_14 = a1934 )
        | ( X0_13 = a1933
          & X0_14 = a1982 )
        | ( X0_13 = a1857
          & X0_14 = a1982 )
        | ( X0_13 = a1869
          & X0_14 = a1883 )
        | ( X0_13 = a1967
          & X0_14 = a1982 )
        | ( X0_14 = a1982
          & X0_13 != a1997
          & X0_13 != a1848
          & X0_13 != a1995
          & X0_13 != a1912
          & X0_13 != a1933
          & X0_13 != a1857
          & X0_13 != a1967 ) ) ) ).

%------ Positive definition of ssSkC10 
fof(lit_def_085,axiom,
    ( ssSkC10
  <=> $true ) ).

%------ Positive definition of ssSkC15 
fof(lit_def_086,axiom,
    ( ssSkC15
  <=> $true ) ).

%------ Positive definition of ssSkC6 
fof(lit_def_087,axiom,
    ( ssSkC6
  <=> $false ) ).

%------ Positive definition of ssSkC34 
fof(lit_def_088,axiom,
    ( ssSkC34
  <=> $false ) ).

%------ Positive definition of ssSkC27 
fof(lit_def_089,axiom,
    ( ssSkC27
  <=> $false ) ).

%------ Positive definition of ssSkC38 
fof(lit_def_090,axiom,
    ( ssSkC38
  <=> $true ) ).

%------ Positive definition of ssSkC41 
fof(lit_def_091,axiom,
    ( ssSkC41
  <=> $false ) ).

%------ Positive definition of sP0_iProver_split 
fof(lit_def_092,axiom,
    ( sP0_iProver_split
  <=> $true ) ).

%------ Positive definition of sP1_iProver_split 
fof(lit_def_093,axiom,
    ( sP1_iProver_split
  <=> $false ) ).

%------ Positive definition of sP3_iProver_split 
fof(lit_def_094,axiom,
    ( sP3_iProver_split
  <=> $false ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_095,axiom,
    ( sP6_iProver_split
  <=> $false ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_096,axiom,
    ( sP10_iProver_split
  <=> $true ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_097,axiom,
    ( sP12_iProver_split
  <=> $false ) ).

%------ Positive definition of sP19_iProver_split 
fof(lit_def_098,axiom,
    ( sP19_iProver_split
  <=> $true ) ).

%------ Positive definition of sP28_iProver_split 
fof(lit_def_099,axiom,
    ( sP28_iProver_split
  <=> $true ) ).

%------ Positive definition of sP29_iProver_split 
fof(lit_def_100,axiom,
    ( sP29_iProver_split
  <=> $false ) ).

%------ Positive definition of sP30_iProver_split 
fof(lit_def_101,axiom,
    ( sP30_iProver_split
  <=> $false ) ).

%------ Positive definition of sP31_iProver_split 
fof(lit_def_102,axiom,
    ( sP31_iProver_split
  <=> $false ) ).

%------ Positive definition of sP32_iProver_split 
fof(lit_def_103,axiom,
    ( sP32_iProver_split
  <=> $false ) ).

%------ Positive definition of sP33_iProver_split 
fof(lit_def_104,axiom,
    ( sP33_iProver_split
  <=> $false ) ).

%------ Positive definition of sP34_iProver_split 
fof(lit_def_105,axiom,
    ( sP34_iProver_split
  <=> $false ) ).

%------ Positive definition of sP35_iProver_split 
fof(lit_def_106,axiom,
    ( sP35_iProver_split
  <=> $false ) ).

%------ Positive definition of sP38_iProver_split 
fof(lit_def_107,axiom,
    ( sP38_iProver_split
  <=> $true ) ).

%------ Positive definition of sP39_iProver_split 
fof(lit_def_108,axiom,
    ( sP39_iProver_split
  <=> $true ) ).

%------ Positive definition of sP40_iProver_split 
fof(lit_def_109,axiom,
    ( sP40_iProver_split
  <=> $false ) ).

%------ Positive definition of sP41_iProver_split 
fof(lit_def_110,axiom,
    ( sP41_iProver_split
  <=> $false ) ).

%------ Positive definition of sP42_iProver_split 
fof(lit_def_111,axiom,
    ( sP42_iProver_split
  <=> $false ) ).

%------ Positive definition of sP43_iProver_split 
fof(lit_def_112,axiom,
    ( sP43_iProver_split
  <=> $false ) ).

%------ Positive definition of sP44_iProver_split 
fof(lit_def_113,axiom,
    ( sP44_iProver_split
  <=> $false ) ).

%------ Positive definition of sP45_iProver_split 
fof(lit_def_114,axiom,
    ( sP45_iProver_split
  <=> $false ) ).

%------ Positive definition of sP46_iProver_split 
fof(lit_def_115,axiom,
    ( sP46_iProver_split
  <=> $false ) ).

%------ Positive definition of sP47_iProver_split 
fof(lit_def_116,axiom,
    ( sP47_iProver_split
  <=> $false ) ).

%------ Positive definition of sP48_iProver_split 
fof(lit_def_117,axiom,
    ( sP48_iProver_split
  <=> $false ) ).

%------ Positive definition of sP49_iProver_split 
fof(lit_def_118,axiom,
    ( sP49_iProver_split
  <=> $false ) ).

%------ Positive definition of sP50_iProver_split 
fof(lit_def_119,axiom,
    ( sP50_iProver_split
  <=> $false ) ).

%------ Positive definition of sP51_iProver_split 
fof(lit_def_120,axiom,
    ( sP51_iProver_split
  <=> $false ) ).

%------ Positive definition of sP53_iProver_split 
fof(lit_def_121,axiom,
    ( sP53_iProver_split
  <=> $false ) ).

%------ Positive definition of sP54_iProver_split 
fof(lit_def_122,axiom,
    ( sP54_iProver_split
  <=> $false ) ).

%------ Positive definition of sP56_iProver_split 
fof(lit_def_123,axiom,
    ( sP56_iProver_split
  <=> $false ) ).

%------ Positive definition of sP57_iProver_split 
fof(lit_def_124,axiom,
    ( sP57_iProver_split
  <=> $true ) ).

%------ Positive definition of sP60_iProver_split 
fof(lit_def_125,axiom,
    ( sP60_iProver_split
  <=> $false ) ).

%------ Positive definition of sP61_iProver_split 
fof(lit_def_126,axiom,
    ( sP61_iProver_split
  <=> $false ) ).

%------ Positive definition of sP62_iProver_split 
fof(lit_def_127,axiom,
    ( sP62_iProver_split
  <=> $true ) ).

%------ Positive definition of sP63_iProver_split 
fof(lit_def_128,axiom,
    ( sP63_iProver_split
  <=> $false ) ).

%------ Positive definition of sP64_iProver_split 
fof(lit_def_129,axiom,
    ( sP64_iProver_split
  <=> $false ) ).

%------ Positive definition of sP67_iProver_split 
fof(lit_def_130,axiom,
    ( sP67_iProver_split
  <=> $false ) ).

%------ Positive definition of sP68_iProver_split 
fof(lit_def_131,axiom,
    ( sP68_iProver_split
  <=> $false ) ).

%------ Positive definition of sP69_iProver_split 
fof(lit_def_132,axiom,
    ( sP69_iProver_split
  <=> $false ) ).

%------ Positive definition of sP70_iProver_split 
fof(lit_def_133,axiom,
    ( sP70_iProver_split
  <=> $false ) ).

%------ Positive definition of sP72_iProver_split 
fof(lit_def_134,axiom,
    ( sP72_iProver_split
  <=> $false ) ).

%------ Positive definition of sP73_iProver_split 
fof(lit_def_135,axiom,
    ( sP73_iProver_split
  <=> $false ) ).

%------ Positive definition of sP74_iProver_split 
fof(lit_def_136,axiom,
    ( sP74_iProver_split
  <=> $false ) ).

%------ Positive definition of sP75_iProver_split 
fof(lit_def_137,axiom,
    ( sP75_iProver_split
  <=> $false ) ).

%------ Positive definition of sP76_iProver_split 
fof(lit_def_138,axiom,
    ( sP76_iProver_split
  <=> $false ) ).

%------ Positive definition of sP78_iProver_split 
fof(lit_def_139,axiom,
    ( sP78_iProver_split
  <=> $false ) ).

%------ Positive definition of sP79_iProver_split 
fof(lit_def_140,axiom,
    ( sP79_iProver_split
  <=> $false ) ).

%------ Positive definition of sP80_iProver_split 
fof(lit_def_141,axiom,
    ( sP80_iProver_split
  <=> $false ) ).

%------ Positive definition of sP81_iProver_split 
fof(lit_def_142,axiom,
    ( sP81_iProver_split
  <=> $false ) ).

%------ Positive definition of sP83_iProver_split 
fof(lit_def_143,axiom,
    ( sP83_iProver_split
  <=> $false ) ).

%------ Positive definition of sP84_iProver_split 
fof(lit_def_144,axiom,
    ( sP84_iProver_split
  <=> $false ) ).

%------ Positive definition of sP86_iProver_split 
fof(lit_def_145,axiom,
    ( sP86_iProver_split
  <=> $true ) ).

%------ Positive definition of sP87_iProver_split 
fof(lit_def_146,axiom,
    ( sP87_iProver_split
  <=> $false ) ).

%------ Positive definition of sP88_iProver_split 
fof(lit_def_147,axiom,
    ( sP88_iProver_split
  <=> $false ) ).

%------ Positive definition of sP89_iProver_split 
fof(lit_def_148,axiom,
    ( sP89_iProver_split
  <=> $false ) ).

%------ Positive definition of sP90_iProver_split 
fof(lit_def_149,axiom,
    ( sP90_iProver_split
  <=> $false ) ).

%------ Positive definition of sP91_iProver_split 
fof(lit_def_150,axiom,
    ( sP91_iProver_split
  <=> $true ) ).

%------ Positive definition of sP92_iProver_split 
fof(lit_def_151,axiom,
    ( sP92_iProver_split
  <=> $false ) ).

%------ Positive definition of sP97_iProver_split 
fof(lit_def_152,axiom,
    ( sP97_iProver_split
  <=> $false ) ).

%------ Positive definition of sP98_iProver_split 
fof(lit_def_153,axiom,
    ( sP98_iProver_split
  <=> $false ) ).

%------ Positive definition of sP99_iProver_split 
fof(lit_def_154,axiom,
    ( sP99_iProver_split
  <=> $false ) ).

%------ Positive definition of sP100_iProver_split 
fof(lit_def_155,axiom,
    ( sP100_iProver_split
  <=> $false ) ).

%------ Positive definition of sP103_iProver_split 
fof(lit_def_156,axiom,
    ( sP103_iProver_split
  <=> $false ) ).

%------ Positive definition of sP104_iProver_split 
fof(lit_def_157,axiom,
    ( sP104_iProver_split
  <=> $false ) ).

%------ Positive definition of sP105_iProver_split 
fof(lit_def_158,axiom,
    ( sP105_iProver_split
  <=> $false ) ).

%------ Positive definition of sP106_iProver_split 
fof(lit_def_159,axiom,
    ( sP106_iProver_split
  <=> $true ) ).

%------ Positive definition of sP107_iProver_split 
fof(lit_def_160,axiom,
    ( sP107_iProver_split
  <=> $false ) ).

%------ Positive definition of sP108_iProver_split 
fof(lit_def_161,axiom,
    ( sP108_iProver_split
  <=> $false ) ).

%------ Positive definition of sP109_iProver_split 
fof(lit_def_162,axiom,
    ( sP109_iProver_split
  <=> $false ) ).

%------ Positive definition of sP110_iProver_split 
fof(lit_def_163,axiom,
    ( sP110_iProver_split
  <=> $false ) ).

%------ Positive definition of sP111_iProver_split 
fof(lit_def_164,axiom,
    ( sP111_iProver_split
  <=> $false ) ).

%------ Positive definition of sP112_iProver_split 
fof(lit_def_165,axiom,
    ( sP112_iProver_split
  <=> $false ) ).

%------ Positive definition of sP113_iProver_split 
fof(lit_def_166,axiom,
    ( sP113_iProver_split
  <=> $false ) ).

%------ Positive definition of sP114_iProver_split 
fof(lit_def_167,axiom,
    ( sP114_iProver_split
  <=> $false ) ).

%------ Positive definition of sP115_iProver_split 
fof(lit_def_168,axiom,
    ( sP115_iProver_split
  <=> $false ) ).

%------ Positive definition of sP116_iProver_split 
fof(lit_def_169,axiom,
    ( sP116_iProver_split
  <=> $false ) ).

%------ Positive definition of sP117_iProver_split 
fof(lit_def_170,axiom,
    ( sP117_iProver_split
  <=> $false ) ).

%------ Positive definition of sP118_iProver_split 
fof(lit_def_171,axiom,
    ( sP118_iProver_split
  <=> $true ) ).

%------ Positive definition of sP119_iProver_split 
fof(lit_def_172,axiom,
    ( sP119_iProver_split
  <=> $false ) ).

%------ Positive definition of sP120_iProver_split 
fof(lit_def_173,axiom,
    ( sP120_iProver_split
  <=> $true ) ).

%------ Positive definition of sP121_iProver_split 
fof(lit_def_174,axiom,
    ( sP121_iProver_split
  <=> $false ) ).

%------ Positive definition of sP122_iProver_split 
fof(lit_def_175,axiom,
    ( sP122_iProver_split
  <=> $true ) ).

%------ Positive definition of sP123_iProver_split 
fof(lit_def_176,axiom,
    ( sP123_iProver_split
  <=> $true ) ).

%------ Positive definition of sP124_iProver_split 
fof(lit_def_177,axiom,
    ( sP124_iProver_split
  <=> $false ) ).

%------ Positive definition of sP125_iProver_split 
fof(lit_def_178,axiom,
    ( sP125_iProver_split
  <=> $false ) ).

%------ Positive definition of sP126_iProver_split 
fof(lit_def_179,axiom,
    ( sP126_iProver_split
  <=> $true ) ).

%------ Positive definition of sP127_iProver_split 
fof(lit_def_180,axiom,
    ( sP127_iProver_split
  <=> $false ) ).

%------ Positive definition of sP128_iProver_split 
fof(lit_def_181,axiom,
    ( sP128_iProver_split
  <=> $false ) ).

%------ Positive definition of sP129_iProver_split 
fof(lit_def_182,axiom,
    ( sP129_iProver_split
  <=> $true ) ).

%------ Positive definition of sP131_iProver_split 
fof(lit_def_183,axiom,
    ( sP131_iProver_split
  <=> $true ) ).

%------ Positive definition of sP132_iProver_split 
fof(lit_def_184,axiom,
    ( sP132_iProver_split
  <=> $false ) ).

%------ Positive definition of sP133_iProver_split 
fof(lit_def_185,axiom,
    ( sP133_iProver_split
  <=> $false ) ).

%------ Positive definition of sP135_iProver_split 
fof(lit_def_186,axiom,
    ( sP135_iProver_split
  <=> $false ) ).

%------ Positive definition of sP140_iProver_split 
fof(lit_def_187,axiom,
    ( sP140_iProver_split
  <=> $true ) ).

%------ Positive definition of sP142_iProver_split 
fof(lit_def_188,axiom,
    ( sP142_iProver_split
  <=> $true ) ).

%------ Positive definition of sP143_iProver_split 
fof(lit_def_189,axiom,
    ( sP143_iProver_split
  <=> $false ) ).

%------ Positive definition of sP144_iProver_split 
fof(lit_def_190,axiom,
    ( sP144_iProver_split
  <=> $false ) ).

%------ Positive definition of sP145_iProver_split 
fof(lit_def_191,axiom,
    ( sP145_iProver_split
  <=> $false ) ).

%------ Positive definition of sP147_iProver_split 
fof(lit_def_192,axiom,
    ( sP147_iProver_split
  <=> $false ) ).

%------ Positive definition of sP148_iProver_split 
fof(lit_def_193,axiom,
    ( sP148_iProver_split
  <=> $false ) ).

%------ Positive definition of sP149_iProver_split 
fof(lit_def_194,axiom,
    ( sP149_iProver_split
  <=> $false ) ).

%------ Positive definition of sP150_iProver_split 
fof(lit_def_195,axiom,
    ( sP150_iProver_split
  <=> $false ) ).

%------ Positive definition of sP152_iProver_split 
fof(lit_def_196,axiom,
    ( sP152_iProver_split
  <=> $false ) ).

%------ Positive definition of sP153_iProver_split 
fof(lit_def_197,axiom,
    ( sP153_iProver_split
  <=> $false ) ).

%------ Positive definition of sP155_iProver_split 
fof(lit_def_198,axiom,
    ( sP155_iProver_split
  <=> $true ) ).

%------ Positive definition of sP156_iProver_split 
fof(lit_def_199,axiom,
    ( sP156_iProver_split
  <=> $false ) ).

%------ Positive definition of sP158_iProver_split 
fof(lit_def_200,axiom,
    ( sP158_iProver_split
  <=> $false ) ).

%------ Positive definition of sP159_iProver_split 
fof(lit_def_201,axiom,
    ( sP159_iProver_split
  <=> $false ) ).

%------ Positive definition of sP162_iProver_split 
fof(lit_def_202,axiom,
    ( sP162_iProver_split
  <=> $false ) ).

%------ Positive definition of sP163_iProver_split 
fof(lit_def_203,axiom,
    ( sP163_iProver_split
  <=> $false ) ).

%------ Positive definition of sP164_iProver_split 
fof(lit_def_204,axiom,
    ( sP164_iProver_split
  <=> $false ) ).

%------ Positive definition of sP165_iProver_split 
fof(lit_def_205,axiom,
    ( sP165_iProver_split
  <=> $false ) ).

%------ Positive definition of sP166_iProver_split 
fof(lit_def_206,axiom,
    ( sP166_iProver_split
  <=> $false ) ).

%------ Positive definition of sP167_iProver_split 
fof(lit_def_207,axiom,
    ( sP167_iProver_split
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN428-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 21:12:48 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.04/1.66  % SZS status Started for theBenchmark.p
% 8.04/1.66  % SZS status Satisfiable for theBenchmark.p
% 8.04/1.66  
% 8.04/1.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.04/1.66  
% 8.04/1.66  ------  iProver source info
% 8.04/1.66  
% 8.04/1.66  git: date: 2023-05-31 18:12:56 +0000
% 8.04/1.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.04/1.66  git: non_committed_changes: false
% 8.04/1.66  git: last_make_outside_of_git: false
% 8.04/1.66  
% 8.04/1.66  ------ Parsing...successful
% 8.04/1.66  
% 8.04/1.66  
% 8.04/1.66  
% 8.04/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e 
% 8.04/1.66  
% 8.04/1.66  ------ Preprocessing... gs_s  sp: 234 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.04/1.66  ------ Proving...
% 8.04/1.66  ------ Problem Properties 
% 8.04/1.66  
% 8.04/1.66  
% 8.04/1.66  clauses                                 795
% 8.04/1.66  conjectures                             721
% 8.04/1.66  EPR                                     795
% 8.04/1.66  Horn                                    331
% 8.04/1.66  unary                                   0
% 8.04/1.66  binary                                  255
% 8.04/1.66  lits                                    2547
% 8.04/1.66  lits eq                                 0
% 8.04/1.66  fd_pure                                 0
% 8.04/1.66  fd_pseudo                               0
% 8.04/1.66  fd_cond                                 0
% 8.04/1.66  fd_pseudo_cond                          0
% 8.04/1.66  AC symbols                              0
% 8.04/1.66  
% 8.04/1.66  ------ Input Options Time Limit: Unbounded
% 8.04/1.66  
% 8.04/1.66  
% 8.04/1.66  ------ 
% 8.04/1.66  Current options:
% 8.04/1.66  ------ 
% 8.04/1.66  
% 8.04/1.66  
% 8.04/1.66  
% 8.04/1.66  
% 8.04/1.66  ------ Proving...
% 8.04/1.66  
% 8.04/1.66  
% 8.04/1.66  % SZS status Satisfiable for theBenchmark.p
% 8.04/1.66  
% 8.04/1.66  ------ Building Model...Done
% 8.04/1.66  
% 8.04/1.66  %------ The model is defined over ground terms (initial term algebra).
% 8.04/1.66  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 8.04/1.66  %------ where \phi is a formula over the term algebra.
% 8.04/1.66  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 8.04/1.66  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 8.04/1.66  %------ See help for --sat_out_model for different model outputs.
% 8.04/1.66  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 8.04/1.66  %------ where the first argument stands for the sort ($i in the unsorted case)
% 8.04/1.66  % SZS output start Model for theBenchmark.p
% See solution above
% 8.04/1.67  
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