TSTP Solution File: LCL641+1.015 by iProver-SAT---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : LCL641+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n004.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 07:55:17 EDT 2023

% Result   : CounterSatisfiable 11.48s 2.15s
% Output   : Model 11.48s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of sP0 
fof(lit_def,axiom,
    ! [X0] :
      ( sP0(X0)
    <=> $false ) ).

%------ Negative definition of p1 
fof(lit_def_001,axiom,
    ! [X0] :
      ( ~ p1(X0)
    <=> ( X0 = iProver_Domain_i_1
        | X0 = iProver_Domain_i_2 ) ) ).

%------ Positive definition of r1 
fof(lit_def_002,axiom,
    ! [X0,X1] :
      ( r1(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 ) ) ) ).

%------ Positive definition of sP3 
fof(lit_def_003,axiom,
    ! [X0] :
      ( sP3(X0)
    <=> $true ) ).

%------ Positive definition of sP2 
fof(lit_def_004,axiom,
    ! [X0] :
      ( sP2(X0)
    <=> $true ) ).

%------ Negative definition of sP1 
fof(lit_def_005,axiom,
    ! [X0] :
      ( ~ sP1(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK4 
fof(lit_def_006,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK4(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK5 
fof(lit_def_007,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK5(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK6 
fof(lit_def_008,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK6(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK7 
fof(lit_def_009,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK7(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK8 
fof(lit_def_010,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK8(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2 ) ) ) ).

%------ Negative definition of iProver_Flat_sK9 
fof(lit_def_011,axiom,
    ! [X0,X1] :
      ( ~ iProver_Flat_sK9(X0,X1)
    <=> ( ( X1 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_2
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_sK10 
fof(lit_def_012,axiom,
    ! [X0,X1] :
      ( ~ iProver_Flat_sK10(X0,X1)
    <=> $false ) ).

%------ Negative definition of iProver_Flat_sK11 
fof(lit_def_013,axiom,
    ! [X0,X1] :
      ( ~ iProver_Flat_sK11(X0,X1)
    <=> $false ) ).

%------ Negative definition of iProver_Flat_sK12 
fof(lit_def_014,axiom,
    ! [X0,X1] :
      ( ~ iProver_Flat_sK12(X0,X1)
    <=> $false ) ).

%------ Positive definition of iProver_Flat_sK14 
fof(lit_def_015,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK14(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK13 
fof(lit_def_016,axiom,
    ! [X0] :
      ( iProver_Flat_sK13(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK15 
fof(lit_def_017,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK15(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK16 
fof(lit_def_018,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK16(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK17 
fof(lit_def_019,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK17(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK18 
fof(lit_def_020,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK18(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK19 
fof(lit_def_021,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK19(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK20 
fof(lit_def_022,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK20(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK21 
fof(lit_def_023,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK21(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK22 
fof(lit_def_024,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK22(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK23 
fof(lit_def_025,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK23(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK24 
fof(lit_def_026,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK24(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK25 
fof(lit_def_027,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK25(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK26 
fof(lit_def_028,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK26(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK27 
fof(lit_def_029,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK27(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK28 
fof(lit_def_030,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK28(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK29 
fof(lit_def_031,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK29(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK30 
fof(lit_def_032,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK30(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK31 
fof(lit_def_033,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK31(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK32 
fof(lit_def_034,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK32(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK33 
fof(lit_def_035,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK33(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK34 
fof(lit_def_036,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK34(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK51 
fof(lit_def_037,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK51(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK50 
fof(lit_def_038,axiom,
    ! [X0] :
      ( iProver_Flat_sK50(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_sK52 
fof(lit_def_039,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK52(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2 ) ) ) ).

%------ Positive definition of iProver_Flat_sK53 
fof(lit_def_040,axiom,
    ! [X0] :
      ( iProver_Flat_sK53(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_sK49 
fof(lit_def_041,axiom,
    ! [X0] :
      ( iProver_Flat_sK49(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK48 
fof(lit_def_042,axiom,
    ! [X0] :
      ( iProver_Flat_sK48(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK47 
fof(lit_def_043,axiom,
    ! [X0] :
      ( iProver_Flat_sK47(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK46 
fof(lit_def_044,axiom,
    ! [X0] :
      ( iProver_Flat_sK46(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK45 
fof(lit_def_045,axiom,
    ! [X0] :
      ( iProver_Flat_sK45(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK44 
fof(lit_def_046,axiom,
    ! [X0] :
      ( iProver_Flat_sK44(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK43 
fof(lit_def_047,axiom,
    ! [X0] :
      ( iProver_Flat_sK43(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK42 
fof(lit_def_048,axiom,
    ! [X0] :
      ( iProver_Flat_sK42(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK41 
fof(lit_def_049,axiom,
    ! [X0] :
      ( iProver_Flat_sK41(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK40 
fof(lit_def_050,axiom,
    ! [X0] :
      ( iProver_Flat_sK40(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK39 
fof(lit_def_051,axiom,
    ! [X0] :
      ( iProver_Flat_sK39(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK38 
fof(lit_def_052,axiom,
    ! [X0] :
      ( iProver_Flat_sK38(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK37 
fof(lit_def_053,axiom,
    ! [X0] :
      ( iProver_Flat_sK37(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK36 
fof(lit_def_054,axiom,
    ! [X0] :
      ( iProver_Flat_sK36(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK35 
fof(lit_def_055,axiom,
    ! [X0] :
      ( iProver_Flat_sK35(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Negative definition of iProver_Flat_sK54 
fof(lit_def_056,axiom,
    ! [X0,X1] :
      ( ~ iProver_Flat_sK54(X0,X1)
    <=> ( X1 = iProver_Domain_i_1
        & X0 != iProver_Domain_i_1 ) ) ).

%------ Positive definition of iProver_Flat_sK55 
fof(lit_def_057,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK55(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK56 
fof(lit_def_058,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK56(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK57 
fof(lit_def_059,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK57(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK58 
fof(lit_def_060,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK58(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK59 
fof(lit_def_061,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK59(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK60 
fof(lit_def_062,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK60(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK61 
fof(lit_def_063,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK61(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK62 
fof(lit_def_064,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK62(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK63 
fof(lit_def_065,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK63(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK64 
fof(lit_def_066,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK64(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK65 
fof(lit_def_067,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK65(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK66 
fof(lit_def_068,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK66(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK67 
fof(lit_def_069,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK67(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK68 
fof(lit_def_070,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK68(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK69 
fof(lit_def_071,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK69(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK70 
fof(lit_def_072,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK70(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK71 
fof(lit_def_073,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK71(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK72 
fof(lit_def_074,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK72(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK73 
fof(lit_def_075,axiom,
    ! [X0,X1] :
      ( iProver_Flat_sK73(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL641+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d SAT
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.20/0.35  % WCLimit  : 300
% 0.20/0.35  % DateTime : Thu Aug 24 22:03:38 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.21/0.47  Running model finding
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.48/2.15  % SZS status Started for theBenchmark.p
% 11.48/2.15  % SZS status CounterSatisfiable for theBenchmark.p
% 11.48/2.15  
% 11.48/2.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.48/2.15  
% 11.48/2.15  ------  iProver source info
% 11.48/2.15  
% 11.48/2.15  git: date: 2023-05-31 18:12:56 +0000
% 11.48/2.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.48/2.15  git: non_committed_changes: false
% 11.48/2.15  git: last_make_outside_of_git: false
% 11.48/2.15  
% 11.48/2.15  ------ Parsing...
% 11.48/2.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 11.48/2.15  
% 11.48/2.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 11.48/2.15  
% 11.48/2.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.48/2.15  ------ Proving...
% 11.48/2.15  ------ Problem Properties 
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  clauses                                 155
% 11.48/2.15  conjectures                             134
% 11.48/2.15  EPR                                     21
% 11.48/2.15  Horn                                    43
% 11.48/2.15  unary                                   18
% 11.48/2.15  binary                                  5
% 11.48/2.15  lits                                    1758
% 11.48/2.15  lits eq                                 0
% 11.48/2.15  fd_pure                                 0
% 11.48/2.15  fd_pseudo                               0
% 11.48/2.15  fd_cond                                 0
% 11.48/2.15  fd_pseudo_cond                          0
% 11.48/2.15  AC symbols                              0
% 11.48/2.15  
% 11.48/2.15  ------ Input Options Time Limit: Unbounded
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  ------ Finite Models:
% 11.48/2.15  
% 11.48/2.15  ------ lit_activity_flag true
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 1
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 2
% 11.48/2.15  ------ 
% 11.48/2.15  Current options:
% 11.48/2.15  ------ 
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  ------ Proving...
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 2
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 2
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 2
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 2
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  ------ Proving...
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 2
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  ------ Proving...
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 2
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  ------ Proving...
% 11.48/2.15  
% 11.48/2.15  ------ Trying domains of size >= : 3
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  ------ Proving...
% 11.48/2.15  
% 11.48/2.15  
% 11.48/2.15  % SZS status CounterSatisfiable for theBenchmark.p
% 11.48/2.15  
% 11.48/2.15  ------ Building Model...Done
% 11.48/2.15  
% 11.48/2.15  %------ The model is defined over ground terms (initial term algebra).
% 11.48/2.15  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 11.48/2.15  %------ where \phi is a formula over the term algebra.
% 11.48/2.15  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 11.48/2.15  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 11.48/2.15  %------ See help for --sat_out_model for different model outputs.
% 11.48/2.15  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 11.48/2.15  %------ where the first argument stands for the sort ($i in the unsorted case)
% 11.48/2.15  % SZS output start Model for theBenchmark.p
% See solution above
% 11.48/2.15  ------                               Statistics
% 11.48/2.15  
% 11.48/2.15  ------ Problem properties
% 11.48/2.15  
% 11.48/2.15  clauses:                                155
% 11.48/2.15  conjectures:                            134
% 11.48/2.15  epr:                                    21
% 11.48/2.15  horn:                                   43
% 11.48/2.15  ground:                                 18
% 11.48/2.15  unary:                                  18
% 11.48/2.15  binary:                                 5
% 11.48/2.15  lits:                                   1758
% 11.48/2.15  lits_eq:                                0
% 11.48/2.15  fd_pure:                                0
% 11.48/2.15  fd_pseudo:                              0
% 11.48/2.15  fd_cond:                                0
% 11.48/2.15  fd_pseudo_cond:                         0
% 11.48/2.15  ac_symbols:                             0
% 11.48/2.15  
% 11.48/2.15  ------ General
% 11.48/2.15  
% 11.48/2.15  abstr_ref_over_cycles:                  0
% 11.48/2.15  abstr_ref_under_cycles:                 0
% 11.48/2.15  gc_basic_clause_elim:                   0
% 11.48/2.15  num_of_symbols:                         336
% 11.48/2.15  num_of_terms:                           5217
% 11.48/2.15  
% 11.48/2.15  parsing_time:                           0.021
% 11.48/2.15  unif_index_cands_time:                  0.034
% 11.48/2.15  unif_index_add_time:                    0.006
% 11.48/2.15  orderings_time:                         0.
% 11.48/2.15  out_proof_time:                         0.
% 11.48/2.15  total_time:                             1.388
% 11.48/2.15  
% 11.48/2.15  ------ Preprocessing
% 11.48/2.15  
% 11.48/2.15  num_of_splits:                          0
% 11.48/2.15  num_of_split_atoms:                     0
% 11.48/2.15  num_of_reused_defs:                     0
% 11.48/2.15  num_eq_ax_congr_red:                    0
% 11.48/2.15  num_of_sem_filtered_clauses:            0
% 11.48/2.15  num_of_subtypes:                        0
% 11.48/2.15  monotx_restored_types:                  0
% 11.48/2.15  sat_num_of_epr_types:                   0
% 11.48/2.15  sat_num_of_non_cyclic_types:            0
% 11.48/2.15  sat_guarded_non_collapsed_types:        0
% 11.48/2.15  num_pure_diseq_elim:                    0
% 11.48/2.15  simp_replaced_by:                       0
% 11.48/2.15  res_preprocessed:                       0
% 11.48/2.15  sup_preprocessed:                       0
% 11.48/2.15  prep_upred:                             0
% 11.48/2.15  prep_unflattend:                        0
% 11.48/2.15  prep_well_definedness:                  0
% 11.48/2.15  smt_new_axioms:                         0
% 11.48/2.15  pred_elim_cands:                        6
% 11.48/2.15  pred_elim:                              0
% 11.48/2.15  pred_elim_cl:                           0
% 11.48/2.15  pred_elim_cycles:                       4
% 11.48/2.15  merged_defs:                            0
% 11.48/2.15  merged_defs_ncl:                        0
% 11.48/2.15  bin_hyper_res:                          0
% 11.48/2.15  prep_cycles:                            1
% 11.48/2.15  
% 11.48/2.15  splitting_time:                         0.
% 11.48/2.15  sem_filter_time:                        0.004
% 11.48/2.15  monotx_time:                            0.
% 11.48/2.15  subtype_inf_time:                       0.
% 11.48/2.15  res_prep_time:                          0.074
% 11.48/2.15  sup_prep_time:                          0.
% 11.48/2.15  pred_elim_time:                         0.019
% 11.48/2.15  bin_hyper_res_time:                     0.
% 11.48/2.15  prep_time_total:                        0.109
% 11.48/2.15  
% 11.48/2.15  ------ Propositional Solver
% 11.48/2.15  
% 11.48/2.15  prop_solver_calls:                      42
% 11.48/2.15  prop_fast_solver_calls:                 6148
% 11.48/2.15  smt_solver_calls:                       0
% 11.48/2.15  smt_fast_solver_calls:                  0
% 11.48/2.15  prop_num_of_clauses:                    4727
% 11.48/2.15  prop_preprocess_simplified:             25078
% 11.48/2.15  prop_fo_subsumed:                       0
% 11.48/2.15  
% 11.48/2.15  prop_solver_time:                       0.004
% 11.48/2.15  prop_fast_solver_time:                  0.02
% 11.48/2.15  prop_unsat_core_time:                   0.
% 11.48/2.15  smt_solver_time:                        0.
% 11.48/2.15  smt_fast_solver_time:                   0.
% 11.48/2.15  
% 11.48/2.15  ------ QBF
% 11.48/2.15  
% 11.48/2.15  qbf_q_res:                              0
% 11.48/2.15  qbf_num_tautologies:                    0
% 11.48/2.15  qbf_prep_cycles:                        0
% 11.48/2.15  
% 11.48/2.15  ------ BMC1
% 11.48/2.15  
% 11.48/2.15  bmc1_current_bound:                     -1
% 11.48/2.15  bmc1_last_solved_bound:                 -1
% 11.48/2.15  bmc1_unsat_core_size:                   -1
% 11.48/2.15  bmc1_unsat_core_parents_size:           -1
% 11.48/2.15  bmc1_merge_next_fun:                    0
% 11.48/2.15  
% 11.48/2.15  bmc1_unsat_core_clauses_time:           0.
% 11.48/2.15  
% 11.48/2.15  ------ Instantiation
% 11.48/2.15  
% 11.48/2.15  inst_num_of_clauses:                    1517
% 11.48/2.15  inst_num_in_passive:                    0
% 11.48/2.15  inst_num_in_active:                     5223
% 11.48/2.15  inst_num_of_loops:                      5972
% 11.48/2.15  inst_num_in_unprocessed:                0
% 11.48/2.15  inst_num_of_learning_restarts:          1
% 11.48/2.15  inst_num_moves_active_passive:          685
% 11.48/2.15  inst_lit_activity:                      0
% 11.48/2.15  inst_lit_activity_moves:                0
% 11.48/2.15  inst_num_tautologies:                   0
% 11.48/2.15  inst_num_prop_implied:                  0
% 11.48/2.15  inst_num_existing_simplified:           0
% 11.48/2.15  inst_num_eq_res_simplified:             0
% 11.48/2.15  inst_num_child_elim:                    0
% 11.48/2.15  inst_num_of_dismatching_blockings:      3326
% 11.48/2.15  inst_num_of_non_proper_insts:           5251
% 11.48/2.15  inst_num_of_duplicates:                 0
% 11.48/2.15  inst_inst_num_from_inst_to_res:         0
% 11.48/2.15  
% 11.48/2.15  inst_time_sim_new:                      0.298
% 11.48/2.15  inst_time_sim_given:                    0.
% 11.48/2.15  inst_time_dismatching_checking:         0.056
% 11.48/2.15  inst_time_total:                        1.173
% 11.48/2.15  
% 11.48/2.15  ------ Resolution
% 11.48/2.15  
% 11.48/2.15  res_num_of_clauses:                     155
% 11.48/2.15  res_num_in_passive:                     0
% 11.48/2.15  res_num_in_active:                      0
% 11.48/2.15  res_num_of_loops:                       156
% 11.48/2.15  res_forward_subset_subsumed:            19
% 11.48/2.15  res_backward_subset_subsumed:           0
% 11.48/2.15  res_forward_subsumed:                   0
% 11.48/2.15  res_backward_subsumed:                  0
% 11.48/2.15  res_forward_subsumption_resolution:     0
% 11.48/2.15  res_backward_subsumption_resolution:    0
% 11.48/2.15  res_clause_to_clause_subsumption:       576
% 11.48/2.15  res_subs_bck_cnt:                       10
% 11.48/2.15  res_orphan_elimination:                 0
% 11.48/2.15  res_tautology_del:                      5455
% 11.48/2.15  res_num_eq_res_simplified:              0
% 11.48/2.15  res_num_sel_changes:                    0
% 11.48/2.15  res_moves_from_active_to_pass:          0
% 11.48/2.15  
% 11.48/2.15  res_time_sim_new:                       0.014
% 11.48/2.15  res_time_sim_fw_given:                  0.045
% 11.48/2.15  res_time_sim_bw_given:                  0.01
% 11.48/2.15  res_time_total:                         0.014
% 11.48/2.15  
% 11.48/2.15  ------ Superposition
% 11.48/2.15  
% 11.48/2.15  sup_num_of_clauses:                     undef
% 11.48/2.15  sup_num_in_active:                      undef
% 11.48/2.15  sup_num_in_passive:                     undef
% 11.48/2.15  sup_num_of_loops:                       0
% 11.48/2.15  sup_fw_superposition:                   0
% 11.48/2.15  sup_bw_superposition:                   0
% 11.48/2.15  sup_eq_factoring:                       0
% 11.48/2.15  sup_eq_resolution:                      0
% 11.48/2.15  sup_immediate_simplified:               0
% 11.48/2.15  sup_given_eliminated:                   0
% 11.48/2.15  comparisons_done:                       0
% 11.48/2.15  comparisons_avoided:                    0
% 11.48/2.15  comparisons_inc_criteria:               0
% 11.48/2.15  sup_deep_cl_discarded:                  0
% 11.48/2.15  sup_num_of_deepenings:                  0
% 11.48/2.15  sup_num_of_restarts:                    0
% 11.48/2.15  
% 11.48/2.15  sup_time_generating:                    0.
% 11.48/2.15  sup_time_sim_fw_full:                   0.
% 11.48/2.15  sup_time_sim_bw_full:                   0.
% 11.48/2.15  sup_time_sim_fw_immed:                  0.
% 11.48/2.15  sup_time_sim_bw_immed:                  0.
% 11.48/2.15  sup_time_prep_sim_fw_input:             0.
% 11.48/2.15  sup_time_prep_sim_bw_input:             0.
% 11.48/2.15  sup_time_total:                         0.
% 11.48/2.15  
% 11.48/2.15  ------ Simplifications
% 11.48/2.15  
% 11.48/2.15  sim_repeated:                           0
% 11.48/2.15  sim_fw_subset_subsumed:                 0
% 11.48/2.15  sim_bw_subset_subsumed:                 0
% 11.48/2.15  sim_fw_subsumed:                        0
% 11.48/2.15  sim_bw_subsumed:                        0
% 11.48/2.15  sim_fw_subsumption_res:                 0
% 11.48/2.15  sim_bw_subsumption_res:                 0
% 11.48/2.15  sim_fw_unit_subs:                       0
% 11.48/2.15  sim_bw_unit_subs:                       0
% 11.48/2.15  sim_tautology_del:                      0
% 11.48/2.15  sim_eq_tautology_del:                   0
% 11.48/2.15  sim_eq_res_simp:                        0
% 11.48/2.15  sim_fw_demodulated:                     0
% 11.48/2.15  sim_bw_demodulated:                     0
% 11.48/2.15  sim_encompassment_demod:                0
% 11.48/2.15  sim_light_normalised:                   0
% 11.48/2.15  sim_ac_normalised:                      0
% 11.48/2.15  sim_joinable_taut:                      0
% 11.48/2.15  sim_joinable_simp:                      0
% 11.48/2.15  sim_fw_ac_demod:                        0
% 11.48/2.15  sim_bw_ac_demod:                        0
% 11.48/2.15  sim_smt_subsumption:                    0
% 11.48/2.15  sim_smt_simplified:                     0
% 11.48/2.15  sim_ground_joinable:                    0
% 11.48/2.15  sim_bw_ground_joinable:                 0
% 11.48/2.15  sim_connectedness:                      0
% 11.48/2.15  
% 11.48/2.15  sim_time_fw_subset_subs:                0.
% 11.48/2.15  sim_time_bw_subset_subs:                0.
% 11.48/2.15  sim_time_fw_subs:                       0.
% 11.48/2.15  sim_time_bw_subs:                       0.
% 11.48/2.15  sim_time_fw_subs_res:                   0.
% 11.48/2.15  sim_time_bw_subs_res:                   0.
% 11.48/2.15  sim_time_fw_unit_subs:                  0.
% 11.48/2.15  sim_time_bw_unit_subs:                  0.
% 11.48/2.15  sim_time_tautology_del:                 0.
% 11.48/2.15  sim_time_eq_tautology_del:              0.
% 11.48/2.15  sim_time_eq_res_simp:                   0.
% 11.48/2.15  sim_time_fw_demod:                      0.
% 11.48/2.15  sim_time_bw_demod:                      0.
% 11.48/2.15  sim_time_light_norm:                    0.
% 11.48/2.15  sim_time_joinable:                      0.
% 11.48/2.15  sim_time_ac_norm:                       0.
% 11.48/2.15  sim_time_fw_ac_demod:                   0.
% 11.48/2.15  sim_time_bw_ac_demod:                   0.
% 11.48/2.15  sim_time_smt_subs:                      0.
% 11.48/2.15  sim_time_fw_gjoin:                      0.
% 11.48/2.15  sim_time_fw_connected:                  0.
% 11.48/2.15  
% 11.48/2.15  
%------------------------------------------------------------------------------