TSTP Solution File: SYN513+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN513+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 03:08:06 EDT 2023

% Result   : CounterSatisfiable 0.47s 1.16s
% Output   : Model 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of c4_1 
fof(lit_def,axiom,
    ! [X0] :
      ( c4_1(X0)
    <=> $false ) ).

%------ Positive definition of sP34 
fof(lit_def_001,axiom,
    ( sP34
  <=> $false ) ).

%------ Positive definition of c5_1 
fof(lit_def_002,axiom,
    ! [X0] :
      ( c5_1(X0)
    <=> X0 = a858 ) ).

%------ Positive definition of c2_2 
fof(lit_def_003,axiom,
    ! [X0,X1] :
      ( c2_2(X0,X1)
    <=> ( ( X0 = a894
          & X1 = a895 )
        | ( X0 = a887
          & X1 = a872 )
        | ( X0 = a867
          & X1 = a869 )
        | ( X0 = a839
          & X1 = a840 )
        | ( X0 = a812
          & X1 = a813 )
        | ( X0 = a858
          & X1 = a872 )
        | ( X0 = a858
          & X1 = a859 )
        | ( X0 = a853
          & X1 = a854 )
        | ( X0 = a830
          & X1 = a872 )
        | ( X0 = a800
          & X1 != a872
          & X1 != a833
          & X1 != a832
          & X1 != a805
          & X1 != a871
          & X1 != a866
          & X1 != a834
          & X1 != a826
          & X1 != a811
          & X1 != a807 )
        | ( X0 = a800
          & X1 = a832 )
        | ( X0 = a800
          & X1 = a871 )
        | ( X0 = a800
          & X1 = a834 ) ) ) ).

%------ Positive definition of c3_2 
fof(lit_def_004,axiom,
    ! [X0,X1] :
      ( c3_2(X0,X1)
    <=> ( ( X0 = a892
          & X1 != a787
          & X1 != a871
          & X1 != a807 )
        | ( X0 = a892
          & X1 = a872 )
        | ( X0 = a892
          & X1 = a807 )
        | ( X0 = a894
          & X1 = a895 )
        | ( X0 = a887
          & X1 = a872 )
        | ( X0 = a818
          & X1 = a871 )
        | ( X0 = a812
          & X1 = a813 )
        | ( X0 = a893
          & X1 = a872 )
        | ( X0 = a891
          & X1 != a787
          & X1 != a871
          & X1 != a807 )
        | ( X0 = a891
          & X1 = a872 )
        | ( X0 = a875
          & X1 = a825 )
        | ( X0 = a858
          & X1 = a872 )
        | ( X0 = a858
          & X1 = a859 )
        | ( X0 = a853
          & X1 = a854 )
        | ( X0 = a830
          & X1 = a872 )
        | ( X0 = a800
          & X1 = a871 )
        | ( X1 = a872
          & X0 != a892
          & X0 != a887
          & X0 != a839
          & X0 != a818
          & X0 != a893
          & X0 != a891
          & X0 != a858
          & X0 != a830
          & X0 != a800 )
        | ( X1 = a871
          & X0 != a892
          & X0 != a887
          & X0 != a818
          & X0 != a893
          & X0 != a891
          & X0 != a858
          & X0 != a830
          & X0 != a800 ) ) ) ).

%------ Positive definition of c1_2 
fof(lit_def_005,axiom,
    ! [X0,X1] :
      ( c1_2(X0,X1)
    <=> ( ( X0 = a887
          & X1 = a888 )
        | ( X0 = a812
          & X1 = a813 )
        | ( X0 = a801
          & X1 = a802 )
        | ( X0 = a796
          & X1 = a797 )
        | ( X0 = a792
          & X1 = a793 )
        | X0 = a893
        | ( X0 = a893
          & X1 = a784 )
        | ( X0 = a893
          & X1 = a826 )
        | ( X0 = a891
          & X1 = a787 )
        | ( X0 = a891
          & X1 = a871 )
        | ( X0 = a891
          & X1 = a807 )
        | ( X0 = a875
          & X1 = a825 )
        | ( X0 = a830
          & X1 != a872
          & X1 != a832
          & X1 != a784
          & X1 != a826 )
        | ( X0 = a830
          & X1 = a872 )
        | ( X0 = a830
          & X1 = a832 )
        | ( X0 = a830
          & X1 = a784 )
        | ( X0 = a830
          & X1 = a826 )
        | ( X0 = a800
          & X1 = a871 ) ) ) ).

%------ Positive definition of ndr1_1 
fof(lit_def_006,axiom,
    ! [X0] :
      ( ndr1_1(X0)
    <=> $true ) ).

%------ Positive definition of ndr1_0 
fof(lit_def_007,axiom,
    ( ndr1_0
  <=> $true ) ).

%------ Positive definition of sP33 
fof(lit_def_008,axiom,
    ( sP33
  <=> $false ) ).

%------ Positive definition of c5_2 
fof(lit_def_009,axiom,
    ! [X0,X1] :
      ( c5_2(X0,X1)
    <=> ( ( X0 = a892
          & X1 = a787 )
        | ( X0 = a892
          & X1 = a871 )
        | ( X0 = a894
          & X1 = a886 )
        | ( X0 = a887
          & X1 = a886 )
        | ( X0 = a867
          & X1 = a869 )
        | ( X0 = a867
          & X1 = a868 )
        | ( X0 = a839
          & X1 = a886 )
        | ( X0 = a839
          & X1 = a871 )
        | ( X0 = a818
          & X1 = a871 )
        | ( X0 = a812
          & X1 = a886 )
        | ( X0 = a801
          & X1 = a802 )
        | ( X0 = a796
          & X1 = a886 )
        | ( X0 = a875
          & X1 = a825 )
        | ( X0 = a858
          & X1 = a886 )
        | ( X0 = a858
          & X1 = a859 )
        | ( X0 = a853
          & X1 = a854 )
        | ( X0 = a830
          & X1 = a886 )
        | ( X0 = a800
          & X1 != a872
          & X1 != a833
          & X1 != a805
          & X1 != a834 )
        | ( X0 = a800
          & X1 = a872 )
        | ( X0 = a800
          & X1 = a833 )
        | ( X0 = a800
          & X1 = a805 )
        | ( X0 = a800
          & X1 = a886 )
        | ( X0 = a800
          & X1 = a866 )
        | ( X0 = a800
          & X1 = a834 )
        | ( X0 = a800
          & X1 = a826 )
        | ( X0 = a800
          & X1 = a811 )
        | ( X0 = a800
          & X1 = a807 )
        | ( X1 = a872
          & X0 != a892
          & X0 != a887
          & X0 != a839
          & X0 != a818
          & X0 != a893
          & X0 != a891
          & X0 != a858
          & X0 != a830 )
        | ( X1 = a871
          & X0 != a892
          & X0 != a887
          & X0 != a839
          & X0 != a818
          & X0 != a893
          & X0 != a891
          & X0 != a858
          & X0 != a830 ) ) ) ).

%------ Positive definition of c2_1 
fof(lit_def_010,axiom,
    ! [X0] :
      ( c2_1(X0)
    <=> ( X0 = a875
        | X0 = a830
        | X0 = a800 ) ) ).

%------ Positive definition of sP30 
fof(lit_def_011,axiom,
    ! [X0] :
      ( sP30(X0)
    <=> $false ) ).

%------ Negative definition of c1_1 
fof(lit_def_012,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
    <=> ( X0 = a892
        | X0 = a887
        | X0 = a818
        | X0 = a858 ) ) ).

%------ Positive definition of sP32 
fof(lit_def_013,axiom,
    ( sP32
  <=> $false ) ).

%------ Positive definition of c4_2 
fof(lit_def_014,axiom,
    ! [X0,X1] :
      ( c4_2(X0,X1)
    <=> ( ( X0 = a892
          & X1 = a787 )
        | ( X0 = a892
          & X1 = a871 )
        | ( X0 = a894
          & X1 = a886 )
        | ( X0 = a887
          & X1 = a886 )
        | ( X0 = a839
          & X1 = a840 )
        | ( X0 = a839
          & X1 = a886 )
        | ( X0 = a839
          & X1 = a871 )
        | ( X0 = a812
          & X1 = a886 )
        | ( X0 = a801
          & X1 = a802 )
        | ( X0 = a796
          & X1 = a886 )
        | ( X0 = a893
          & X1 = a832 )
        | ( X0 = a893
          & X1 = a871 )
        | ( X0 = a891
          & X1 = a886 )
        | ( X0 = a858
          & X1 = a886 )
        | ( X0 = a853
          & X1 = a886 )
        | ( X0 = a853
          & X1 = a854 )
        | ( X0 = a830
          & X1 = a886 )
        | ( X0 = a817
          & X1 = a805 ) ) ) ).

%------ Positive definition of sP31 
fof(lit_def_015,axiom,
    ( sP31
  <=> $false ) ).

%------ Positive definition of sP29 
fof(lit_def_016,axiom,
    ! [X0] :
      ( sP29(X0)
    <=> $false ) ).

%------ Positive definition of sP28 
fof(lit_def_017,axiom,
    ! [X0] :
      ( sP28(X0)
    <=> $false ) ).

%------ Positive definition of c3_1 
fof(lit_def_018,axiom,
    ! [X0] :
      ( c3_1(X0)
    <=> ( X0 = a892
        | X0 = a887
        | X0 = a818
        | X0 = a858 ) ) ).

%------ Positive definition of sP26 
fof(lit_def_019,axiom,
    ! [X0] :
      ( sP26(X0)
    <=> $false ) ).

%------ Positive definition of sP27 
fof(lit_def_020,axiom,
    ( sP27
  <=> $false ) ).

%------ Positive definition of sP25 
fof(lit_def_021,axiom,
    ! [X0] :
      ( sP25(X0)
    <=> ( X0 = a892
        | X0 = a887
        | X0 = a893
        | X0 = a891
        | X0 = a858
        | X0 = a830 ) ) ).

%------ Positive definition of sP23 
fof(lit_def_022,axiom,
    ( sP23
  <=> $false ) ).

%------ Positive definition of sP22 
fof(lit_def_023,axiom,
    ( sP22
  <=> $false ) ).

%------ Positive definition of sP21 
fof(lit_def_024,axiom,
    ! [X0] :
      ( sP21(X0)
    <=> $false ) ).

%------ Positive definition of sP20 
fof(lit_def_025,axiom,
    ( sP20
  <=> $true ) ).

%------ Positive definition of sP19 
fof(lit_def_026,axiom,
    ( sP19
  <=> $false ) ).

%------ Positive definition of sP18 
fof(lit_def_027,axiom,
    ! [X0] :
      ( sP18(X0)
    <=> $false ) ).

%------ Positive definition of sP17 
fof(lit_def_028,axiom,
    ( sP17
  <=> $true ) ).

%------ Positive definition of sP16 
fof(lit_def_029,axiom,
    ( sP16
  <=> $true ) ).

%------ Positive definition of sP15 
fof(lit_def_030,axiom,
    ( sP15
  <=> $true ) ).

%------ Positive definition of sP14 
fof(lit_def_031,axiom,
    ( sP14
  <=> $false ) ).

%------ Positive definition of sP13 
fof(lit_def_032,axiom,
    ( sP13
  <=> $true ) ).

%------ Positive definition of sP12 
fof(lit_def_033,axiom,
    ( sP12
  <=> $true ) ).

%------ Positive definition of sP11 
fof(lit_def_034,axiom,
    ! [X0] :
      ( sP11(X0)
    <=> $false ) ).

%------ Positive definition of sP10 
fof(lit_def_035,axiom,
    ! [X0] :
      ( sP10(X0)
    <=> $false ) ).

%------ Positive definition of sP9 
fof(lit_def_036,axiom,
    ( sP9
  <=> $true ) ).

%------ Positive definition of sP8 
fof(lit_def_037,axiom,
    ( sP8
  <=> $false ) ).

%------ Positive definition of sP7 
fof(lit_def_038,axiom,
    ( sP7
  <=> $false ) ).

%------ Positive definition of sP6 
fof(lit_def_039,axiom,
    ( sP6
  <=> $false ) ).

%------ Positive definition of sP5 
fof(lit_def_040,axiom,
    ( sP5
  <=> $true ) ).

%------ Positive definition of sP4 
fof(lit_def_041,axiom,
    ( sP4
  <=> $false ) ).

%------ Positive definition of sP3 
fof(lit_def_042,axiom,
    ! [X0] :
      ( sP3(X0)
    <=> $false ) ).

%------ Positive definition of sP2 
fof(lit_def_043,axiom,
    ( sP2
  <=> $true ) ).

%------ Positive definition of sP1 
fof(lit_def_044,axiom,
    ( sP1
  <=> $true ) ).

%------ Positive definition of sP0 
fof(lit_def_045,axiom,
    ( sP0
  <=> $false ) ).

%------ Positive definition of c5_0 
fof(lit_def_046,axiom,
    ( c5_0
  <=> $true ) ).

%------ Positive definition of c3_0 
fof(lit_def_047,axiom,
    ( c3_0
  <=> $false ) ).

%------ Positive definition of c1_0 
fof(lit_def_048,axiom,
    ( c1_0
  <=> $false ) ).

%------ Positive definition of c4_0 
fof(lit_def_049,axiom,
    ( c4_0
  <=> $false ) ).

%------ Positive definition of c2_0 
fof(lit_def_050,axiom,
    ( c2_0
  <=> $false ) ).

%------ Positive definition of sP0_iProver_split 
fof(lit_def_051,axiom,
    ( sP0_iProver_split
  <=> $false ) ).

%------ Positive definition of sP1_iProver_split 
fof(lit_def_052,axiom,
    ( sP1_iProver_split
  <=> $true ) ).

%------ Positive definition of sP2_iProver_split 
fof(lit_def_053,axiom,
    ( sP2_iProver_split
  <=> $false ) ).

%------ Positive definition of sP3_iProver_split 
fof(lit_def_054,axiom,
    ( sP3_iProver_split
  <=> $true ) ).

%------ Positive definition of sP4_iProver_split 
fof(lit_def_055,axiom,
    ( sP4_iProver_split
  <=> $false ) ).

%------ Positive definition of sP5_iProver_split 
fof(lit_def_056,axiom,
    ( sP5_iProver_split
  <=> $false ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_057,axiom,
    ( sP6_iProver_split
  <=> $false ) ).

%------ Positive definition of sP7_iProver_split 
fof(lit_def_058,axiom,
    ( sP7_iProver_split
  <=> $true ) ).

%------ Positive definition of sP8_iProver_split 
fof(lit_def_059,axiom,
    ( sP8_iProver_split
  <=> $false ) ).

%------ Positive definition of sP9_iProver_split 
fof(lit_def_060,axiom,
    ( sP9_iProver_split
  <=> $true ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_061,axiom,
    ( sP10_iProver_split
  <=> $false ) ).

%------ Positive definition of sP11_iProver_split 
fof(lit_def_062,axiom,
    ( sP11_iProver_split
  <=> $true ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_063,axiom,
    ( sP12_iProver_split
  <=> $false ) ).

%------ Positive definition of sP13_iProver_split 
fof(lit_def_064,axiom,
    ( sP13_iProver_split
  <=> $false ) ).

%------ Positive definition of sP14_iProver_split 
fof(lit_def_065,axiom,
    ( sP14_iProver_split
  <=> $true ) ).

%------ Positive definition of sP15_iProver_split 
fof(lit_def_066,axiom,
    ( sP15_iProver_split
  <=> $true ) ).

%------ Positive definition of sP16_iProver_split 
fof(lit_def_067,axiom,
    ( sP16_iProver_split
  <=> $false ) ).

%------ Positive definition of sP17_iProver_split 
fof(lit_def_068,axiom,
    ( sP17_iProver_split
  <=> $true ) ).

%------ Positive definition of sP18_iProver_split 
fof(lit_def_069,axiom,
    ( sP18_iProver_split
  <=> $false ) ).

%------ Positive definition of sP19_iProver_split 
fof(lit_def_070,axiom,
    ( sP19_iProver_split
  <=> $false ) ).

%------ Positive definition of sP20_iProver_split 
fof(lit_def_071,axiom,
    ( sP20_iProver_split
  <=> $false ) ).

%------ Positive definition of sP21_iProver_split 
fof(lit_def_072,axiom,
    ( sP21_iProver_split
  <=> $true ) ).

%------ Positive definition of sP22_iProver_split 
fof(lit_def_073,axiom,
    ( sP22_iProver_split
  <=> $true ) ).

%------ Positive definition of sP23_iProver_split 
fof(lit_def_074,axiom,
    ( sP23_iProver_split
  <=> $false ) ).

%------ Positive definition of sP24_iProver_split 
fof(lit_def_075,axiom,
    ( sP24_iProver_split
  <=> $false ) ).

%------ Positive definition of sP25_iProver_split 
fof(lit_def_076,axiom,
    ( sP25_iProver_split
  <=> $false ) ).

%------ Positive definition of sP26_iProver_split 
fof(lit_def_077,axiom,
    ( sP26_iProver_split
  <=> $false ) ).

%------ Positive definition of sP27_iProver_split 
fof(lit_def_078,axiom,
    ( sP27_iProver_split
  <=> $false ) ).

%------ Positive definition of sP28_iProver_split 
fof(lit_def_079,axiom,
    ( sP28_iProver_split
  <=> $false ) ).

%------ Positive definition of sP29_iProver_split 
fof(lit_def_080,axiom,
    ( sP29_iProver_split
  <=> $true ) ).

%------ Positive definition of sP30_iProver_split 
fof(lit_def_081,axiom,
    ( sP30_iProver_split
  <=> $false ) ).

%------ Positive definition of sP31_iProver_split 
fof(lit_def_082,axiom,
    ( sP31_iProver_split
  <=> $false ) ).

%------ Positive definition of sP32_iProver_split 
fof(lit_def_083,axiom,
    ( sP32_iProver_split
  <=> $false ) ).

%------ Positive definition of sP33_iProver_split 
fof(lit_def_084,axiom,
    ( sP33_iProver_split
  <=> $false ) ).

%------ Positive definition of sP34_iProver_split 
fof(lit_def_085,axiom,
    ( sP34_iProver_split
  <=> $true ) ).

%------ Positive definition of sP35_iProver_split 
fof(lit_def_086,axiom,
    ( sP35_iProver_split
  <=> $false ) ).

%------ Positive definition of sP36_iProver_split 
fof(lit_def_087,axiom,
    ( sP36_iProver_split
  <=> $false ) ).

%------ Positive definition of sP37_iProver_split 
fof(lit_def_088,axiom,
    ( sP37_iProver_split
  <=> $false ) ).

%------ Positive definition of sP38_iProver_split 
fof(lit_def_089,axiom,
    ( sP38_iProver_split
  <=> $false ) ).

%------ Positive definition of sP39_iProver_split 
fof(lit_def_090,axiom,
    ( sP39_iProver_split
  <=> $false ) ).

%------ Positive definition of sP40_iProver_split 
fof(lit_def_091,axiom,
    ( sP40_iProver_split
  <=> $false ) ).

%------ Positive definition of sP41_iProver_split 
fof(lit_def_092,axiom,
    ( sP41_iProver_split
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN513+1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.33  % Computer : n023.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 20:46:26 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.16  % SZS status Started for theBenchmark.p
% 0.47/1.16  % SZS status CounterSatisfiable for theBenchmark.p
% 0.47/1.16  
% 0.47/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.16  
% 0.47/1.16  ------  iProver source info
% 0.47/1.16  
% 0.47/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.16  git: non_committed_changes: false
% 0.47/1.16  git: last_make_outside_of_git: false
% 0.47/1.16  
% 0.47/1.16  ------ Parsing...
% 0.47/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  ------ Preprocessing... sf_s  rm: 33 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.47/1.16  
% 0.47/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 0.47/1.16   gs_s  sp: 66 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.16  ------ Proving...
% 0.47/1.16  ------ Problem Properties 
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  clauses                                 247
% 0.47/1.16  conjectures                             92
% 0.47/1.16  EPR                                     247
% 0.47/1.16  Horn                                    133
% 0.47/1.16  unary                                   13
% 0.47/1.16  binary                                  100
% 0.47/1.16  lits                                    734
% 0.47/1.16  lits eq                                 0
% 0.47/1.16  fd_pure                                 0
% 0.47/1.16  fd_pseudo                               0
% 0.47/1.16  fd_cond                                 0
% 0.47/1.16  fd_pseudo_cond                          0
% 0.47/1.16  AC symbols                              0
% 0.47/1.16  
% 0.47/1.16  ------ Schedule EPR non Horn non eq is on
% 0.47/1.16  
% 0.47/1.16  ------ no equalities: superposition off 
% 0.47/1.16  
% 0.47/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  ------ 
% 0.47/1.16  Current options:
% 0.47/1.16  ------ 
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  ------ Proving...
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  % SZS status CounterSatisfiable for theBenchmark.p
% 0.47/1.16  
% 0.47/1.16  ------ Building Model...Done
% 0.47/1.16  
% 0.47/1.16  %------ The model is defined over ground terms (initial term algebra).
% 0.47/1.16  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 0.47/1.16  %------ where \phi is a formula over the term algebra.
% 0.47/1.16  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 0.47/1.16  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 0.47/1.16  %------ See help for --sat_out_model for different model outputs.
% 0.47/1.16  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 0.47/1.16  %------ where the first argument stands for the sort ($i in the unsorted case)
% 0.47/1.16  % SZS output start Model for theBenchmark.p
% See solution above
% 0.47/1.16  
%------------------------------------------------------------------------------