TSTP Solution File: BOO032-1 by iProver-SAT---3.8

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%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : BOO032-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n024.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 : Wed Aug 30 18:09:40 EDT 2023

% Result   : Satisfiable 22.53s 3.66s
% Output   : Model 22.53s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Negative definition of equality_sorted 
fof(lit_def,axiom,
    ! [X0_12,X0,X1] :
      ( ~ equality_sorted(X0_12,X0,X1)
    <=> ( ( X0_12 = $i
          & X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_3 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_4 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_5 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_3 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_4 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_5 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_1 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_2 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_4 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_5 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_1 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_2 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_3 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_5 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_1 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_2 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_3 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_4 ) ) ) ).

%------ Positive definition of iProver_Flat_multiply 
fof(lit_def_001,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_multiply(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4
          & X2 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4
          & X2 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4
          & X2 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_3
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_4
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_4 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_5 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_4 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_5 )
          & X1 != iProver_Domain_i_3
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_4 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_5 )
          & X1 != iProver_Domain_i_4
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_4 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_5 )
          & ( X1 != iProver_Domain_i_5
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_5
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_5
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_5
            | X2 != iProver_Domain_i_4 )
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4 ) ) ) ).

%------ Positive definition of iProver_Flat_add 
fof(lit_def_002,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_add(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_5
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_4 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_4 )
          & X1 != iProver_Domain_i_3
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_4 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_5 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_4 )
          & ( X1 != iProver_Domain_i_5
            | X2 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4
          & X2 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4
          & X2 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_3
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_3
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_4
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 ) ) ) ).

%------ Positive definition of iProver_Flat_inverse 
fof(lit_def_003,axiom,
    ! [X0,X1] :
      ( iProver_Flat_inverse(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_5
          & X1 = iProver_Domain_i_2 ) ) ) ).

%------ Positive definition of iProver_Flat_a 
fof(lit_def_004,axiom,
    ! [X0] :
      ( iProver_Flat_a(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Negative definition of sP0_iProver_split 
fof(lit_def_005,axiom,
    ! [X0,X1] :
      ( ~ sP0_iProver_split(X0,X1)
    <=> $false ) ).

%------ Negative definition of sP1_iProver_split 
fof(lit_def_006,axiom,
    ! [X0,X1] :
      ( ~ sP1_iProver_split(X0,X1)
    <=> $false ) ).

%------ Negative definition of sP2_iProver_split 
fof(lit_def_007,axiom,
    ! [X0,X1] :
      ( ~ sP2_iProver_split(X0,X1)
    <=> $false ) ).

%------ Negative definition of sP3_iProver_split 
fof(lit_def_008,axiom,
    ! [X0,X1] :
      ( ~ sP3_iProver_split(X0,X1)
    <=> $false ) ).

%------ Negative definition of sP4_iProver_split 
fof(lit_def_009,axiom,
    ! [X0,X1] :
      ( ~ sP4_iProver_split(X0,X1)
    <=> $false ) ).

%------ Negative definition of sP5_iProver_split 
fof(lit_def_010,axiom,
    ! [X0,X1] :
      ( ~ sP5_iProver_split(X0,X1)
    <=> $false ) ).

%------ Negative definition of sP6_iProver_split 
fof(lit_def_011,axiom,
    ! [X0,X1] :
      ( ~ sP6_iProver_split(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3 ) ) ) ).

%------ Negative definition of sP7_iProver_split 
fof(lit_def_012,axiom,
    ! [X0,X1] :
      ( ~ sP7_iProver_split(X0,X1)
    <=> $false ) ).

%------ Negative definition of sP8_iProver_split 
fof(lit_def_013,axiom,
    ! [X0,X1] :
      ( ~ sP8_iProver_split(X0,X1)
    <=> $false ) ).

%------ Negative definition of sP9_iProver_split 
fof(lit_def_014,axiom,
    ! [X0,X1] :
      ( ~ sP9_iProver_split(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1
          & X0 != iProver_Domain_i_3 ) ) ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_015,axiom,
    ! [X0,X1] :
      ( sP10_iProver_split(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of sP11_iProver_split 
fof(lit_def_016,axiom,
    ! [X0,X1,X2] :
      ( sP11_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_017,axiom,
    ! [X0,X1,X2] :
      ( sP12_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP13_iProver_split 
fof(lit_def_018,axiom,
    ! [X0,X1,X2] :
      ( sP13_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP14_iProver_split 
fof(lit_def_019,axiom,
    ! [X0,X1,X2] :
      ( sP14_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP15_iProver_split 
fof(lit_def_020,axiom,
    ! [X0,X1,X2] :
      ( sP15_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP16_iProver_split 
fof(lit_def_021,axiom,
    ! [X0,X1,X2] :
      ( sP16_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP17_iProver_split 
fof(lit_def_022,axiom,
    ! [X0,X1,X2] :
      ( sP17_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP18_iProver_split 
fof(lit_def_023,axiom,
    ! [X0,X1,X2] :
      ( sP18_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP19_iProver_split 
fof(lit_def_024,axiom,
    ! [X0,X1,X2] :
      ( sP19_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP20_iProver_split 
fof(lit_def_025,axiom,
    ! [X0,X1,X2] :
      ( sP20_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP21_iProver_split 
fof(lit_def_026,axiom,
    ! [X0,X1,X2] :
      ( sP21_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP22_iProver_split 
fof(lit_def_027,axiom,
    ! [X0,X1,X2] :
      ( sP22_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP23_iProver_split 
fof(lit_def_028,axiom,
    ! [X0,X1,X2] :
      ( sP23_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP24_iProver_split 
fof(lit_def_029,axiom,
    ! [X0,X1,X2] :
      ( sP24_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP25_iProver_split 
fof(lit_def_030,axiom,
    ! [X0,X1,X2] :
      ( sP25_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP26_iProver_split 
fof(lit_def_031,axiom,
    ! [X0,X1,X2] :
      ( sP26_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP27_iProver_split 
fof(lit_def_032,axiom,
    ! [X0,X1,X2] :
      ( sP27_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP28_iProver_split 
fof(lit_def_033,axiom,
    ! [X0,X1,X2] :
      ( sP28_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP29_iProver_split 
fof(lit_def_034,axiom,
    ! [X0,X1,X2] :
      ( sP29_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP30_iProver_split 
fof(lit_def_035,axiom,
    ! [X0,X1,X2] :
      ( sP30_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP31_iProver_split 
fof(lit_def_036,axiom,
    ! [X0,X1,X2] :
      ( sP31_iProver_split(X0,X1,X2)
    <=> $true ) ).

%------ Positive definition of sP32_iProver_split 
fof(lit_def_037,axiom,
    ! [X0,X1,X2,X3] :
      ( sP32_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP33_iProver_split 
fof(lit_def_038,axiom,
    ! [X0,X1,X2,X3] :
      ( sP33_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP34_iProver_split 
fof(lit_def_039,axiom,
    ! [X0,X1,X2,X3] :
      ( sP34_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP35_iProver_split 
fof(lit_def_040,axiom,
    ! [X0,X1,X2,X3] :
      ( sP35_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP36_iProver_split 
fof(lit_def_041,axiom,
    ! [X0,X1,X2,X3] :
      ( sP36_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP37_iProver_split 
fof(lit_def_042,axiom,
    ! [X0,X1,X2,X3] :
      ( sP37_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP38_iProver_split 
fof(lit_def_043,axiom,
    ! [X0,X1,X2,X3] :
      ( sP38_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP39_iProver_split 
fof(lit_def_044,axiom,
    ! [X0,X1,X2,X3] :
      ( sP39_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP40_iProver_split 
fof(lit_def_045,axiom,
    ! [X0,X1,X2,X3] :
      ( sP40_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP41_iProver_split 
fof(lit_def_046,axiom,
    ! [X0,X1,X2,X3] :
      ( sP41_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP42_iProver_split 
fof(lit_def_047,axiom,
    ! [X0,X1,X2,X3] :
      ( sP42_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP43_iProver_split 
fof(lit_def_048,axiom,
    ! [X0,X1,X2,X3] :
      ( sP43_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP44_iProver_split 
fof(lit_def_049,axiom,
    ! [X0,X1,X2,X3] :
      ( sP44_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP45_iProver_split 
fof(lit_def_050,axiom,
    ! [X0,X1,X2,X3] :
      ( sP45_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP46_iProver_split 
fof(lit_def_051,axiom,
    ! [X0,X1,X2,X3] :
      ( sP46_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP47_iProver_split 
fof(lit_def_052,axiom,
    ! [X0,X1,X2,X3] :
      ( sP47_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP48_iProver_split 
fof(lit_def_053,axiom,
    ! [X0,X1,X2,X3] :
      ( sP48_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP49_iProver_split 
fof(lit_def_054,axiom,
    ! [X0,X1,X2,X3] :
      ( sP49_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP50_iProver_split 
fof(lit_def_055,axiom,
    ! [X0,X1,X2,X3] :
      ( sP50_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP51_iProver_split 
fof(lit_def_056,axiom,
    ! [X0,X1,X2,X3] :
      ( sP51_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP52_iProver_split 
fof(lit_def_057,axiom,
    ! [X0,X1,X2,X3] :
      ( sP52_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP53_iProver_split 
fof(lit_def_058,axiom,
    ! [X0,X1,X2,X3] :
      ( sP53_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP54_iProver_split 
fof(lit_def_059,axiom,
    ! [X0,X1,X2,X3] :
      ( sP54_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP55_iProver_split 
fof(lit_def_060,axiom,
    ! [X0,X1,X2,X3] :
      ( sP55_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP56_iProver_split 
fof(lit_def_061,axiom,
    ! [X0,X1,X2,X3] :
      ( sP56_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP57_iProver_split 
fof(lit_def_062,axiom,
    ! [X0,X1,X2,X3] :
      ( sP57_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP58_iProver_split 
fof(lit_def_063,axiom,
    ! [X0,X1,X2,X3] :
      ( sP58_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP59_iProver_split 
fof(lit_def_064,axiom,
    ! [X0,X1,X2,X3] :
      ( sP59_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP60_iProver_split 
fof(lit_def_065,axiom,
    ! [X0,X1,X2,X3] :
      ( sP60_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP61_iProver_split 
fof(lit_def_066,axiom,
    ! [X0,X1,X2,X3] :
      ( sP61_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP62_iProver_split 
fof(lit_def_067,axiom,
    ! [X0,X1,X2,X3] :
      ( sP62_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP63_iProver_split 
fof(lit_def_068,axiom,
    ! [X0,X1,X2,X3] :
      ( sP63_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP64_iProver_split 
fof(lit_def_069,axiom,
    ! [X0,X1,X2,X3] :
      ( sP64_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP65_iProver_split 
fof(lit_def_070,axiom,
    ! [X0,X1,X2,X3] :
      ( sP65_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP66_iProver_split 
fof(lit_def_071,axiom,
    ! [X0,X1,X2,X3] :
      ( sP66_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP67_iProver_split 
fof(lit_def_072,axiom,
    ! [X0,X1,X2,X3] :
      ( sP67_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------ Positive definition of sP68_iProver_split 
fof(lit_def_073,axiom,
    ! [X0,X1,X2,X3] :
      ( sP68_iProver_split(X0,X1,X2,X3)
    <=> $true ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : BOO032-1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d SAT
% 0.13/0.35  % Computer : n024.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 : Sun Aug 27 08:32:54 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.48  Running model finding
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 22.53/3.66  % SZS status Started for theBenchmark.p
% 22.53/3.66  % SZS status Satisfiable for theBenchmark.p
% 22.53/3.66  
% 22.53/3.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 22.53/3.66  
% 22.53/3.66  ------  iProver source info
% 22.53/3.66  
% 22.53/3.66  git: date: 2023-05-31 18:12:56 +0000
% 22.53/3.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 22.53/3.66  git: non_committed_changes: false
% 22.53/3.66  git: last_make_outside_of_git: false
% 22.53/3.66  
% 22.53/3.66  ------ Parsing...successful
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 22.53/3.66  
% 22.53/3.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 22.53/3.66  
% 22.53/3.66  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 22.53/3.66  ------ Proving...
% 22.53/3.66  ------ Problem Properties 
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  clauses                                 13
% 22.53/3.66  conjectures                             1
% 22.53/3.66  EPR                                     0
% 22.53/3.66  Horn                                    13
% 22.53/3.66  unary                                   13
% 22.53/3.66  binary                                  0
% 22.53/3.66  lits                                    13
% 22.53/3.66  lits eq                                 13
% 22.53/3.66  fd_pure                                 0
% 22.53/3.66  fd_pseudo                               0
% 22.53/3.66  fd_cond                                 0
% 22.53/3.66  fd_pseudo_cond                          0
% 22.53/3.66  AC symbols                              0
% 22.53/3.66  
% 22.53/3.66  ------ Input Options Time Limit: Unbounded
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  ------ Finite Models:
% 22.53/3.66  
% 22.53/3.66  ------ lit_activity_flag true
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  ------ Trying domains of size >= : 1
% 22.53/3.66  
% 22.53/3.66  ------ Trying domains of size >= : 2
% 22.53/3.66  ------ 
% 22.53/3.66  Current options:
% 22.53/3.66  ------ 
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  ------ Proving...
% 22.53/3.66  
% 22.53/3.66  ------ Trying domains of size >= : 3
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  ------ Proving...
% 22.53/3.66  
% 22.53/3.66  ------ Trying domains of size >= : 4
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  ------ Proving...
% 22.53/3.66  
% 22.53/3.66  ------ Trying domains of size >= : 5
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  ------ Proving...
% 22.53/3.66  
% 22.53/3.66  
% 22.53/3.66  % SZS status Satisfiable for theBenchmark.p
% 22.53/3.66  
% 22.53/3.66  ------ Building Model...Done
% 22.53/3.66  
% 22.53/3.66  %------ The model is defined over ground terms (initial term algebra).
% 22.53/3.66  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 22.53/3.66  %------ where \phi is a formula over the term algebra.
% 22.53/3.66  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 22.53/3.66  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 22.53/3.66  %------ See help for --sat_out_model for different model outputs.
% 22.53/3.66  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 22.53/3.66  %------ where the first argument stands for the sort ($i in the unsorted case)
% 22.53/3.66  % SZS output start Model for theBenchmark.p
% See solution above
% 22.53/3.66  ------                               Statistics
% 22.53/3.66  
% 22.53/3.66  ------ Selected
% 22.53/3.66  
% 22.53/3.66  sim_connectedness:                      0
% 22.53/3.66  total_time:                             2.586
% 22.53/3.66  inst_time_total:                        2.423
% 22.53/3.66  res_time_total:                         0.018
% 22.53/3.66  sup_time_total:                         0.
% 22.53/3.66  sim_time_fw_connected:                  0.
% 22.53/3.66  
%------------------------------------------------------------------------------