TSTP Solution File: HAL003+2 by iProver-SAT---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : HAL003+2 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n032.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 01:53:43 EDT 2023

% Result   : CounterSatisfiable 33.54s 5.05s
% Output   : Model 33.54s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive 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_1 )
        | ( X0_12 = $i
          & X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2 ) ) ) ).

%------ Positive definition of morphism 
fof(lit_def_001,axiom,
    ! [X0,X1,X2] :
      ( morphism(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2 )
        | ( 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_1 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_2
          & X0 != iProver_Domain_i_1
          & X0 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 ) ) ) ).

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

%------ Positive definition of injection 
fof(lit_def_003,axiom,
    ! [X0] :
      ( injection(X0)
    <=> ( X0 = iProver_Domain_i_1
        | X0 = iProver_Domain_i_2 ) ) ).

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

%------ Positive definition of exact 
fof(lit_def_005,axiom,
    ! [X0,X1] :
      ( exact(X0,X1)
    <=> ( ( 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 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2 )
        | X1 = iProver_Domain_i_2 ) ) ).

%------ Positive definition of commute 
fof(lit_def_006,axiom,
    ! [X0,X1,X2,X3] :
      ( commute(X0,X1,X2,X3)
    <=> ( ( ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & X0 != iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1 )
          & ( 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_2
            | X3 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & 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_2
            | X3 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_2
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1 )
        | ( X2 = iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2 )
          & X0 != iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X2 = iProver_Domain_i_2
          & X3 = 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
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1 )
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of sP0_iProver_split 
fof(lit_def_007,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ sP0_iProver_split(X0,X1,X2,X3)
    <=> ( ( ( 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
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X0 != iProver_Domain_i_1
          & X0 != iProver_Domain_i_2 ) ) ) ).

%------ Negative definition of sP1_iProver_split 
fof(lit_def_008,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sP1_iProver_split(X0,X1,X2,X3,X4)
    <=> ( ( ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1 )
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 ) )
        | ( X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1
          & X0 != iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & X4 != iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 ) )
        | ( X1 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & X0 != iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X3 != iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1 )
        | ( X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1 )
          & X0 != iProver_Domain_i_2 )
        | ( X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 ) )
        | ( X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & X0 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of sP2_iProver_split 
fof(lit_def_009,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( sP2_iProver_split(X0,X1,X2,X3,X4)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & ( X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X0 != iProver_Domain_i_1
          & X0 != iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 ) )
        | ( X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X0 != iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & X0 != iProver_Domain_i_2
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X2 = iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & ( X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 ) )
        | ( X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1 )
          & X0 != iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1 )
          & X1 != iProver_Domain_i_1 )
        | ( X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 ) )
        | ( X3 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_2 )
        | ( X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & X2 != iProver_Domain_i_1 )
        | ( X3 = iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_2
          & X4 != iProver_Domain_i_2 )
        | ( X4 = iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 ) ) ) ).

%------ Negative definition of sP3_iProver_split 
fof(lit_def_010,axiom,
    ! [X0,X1,X2] :
      ( ~ sP3_iProver_split(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & 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
          & X2 = iProver_Domain_i_1
          & X1 != 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 ) ) ) ).

%------ Negative definition of sP4_iProver_split 
fof(lit_def_011,axiom,
    ! [X0,X1,X2] :
      ( ~ sP4_iProver_split(X0,X1,X2)
    <=> ( ( 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_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 )
        | ( 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 )
        | ( X1 = iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & X2 != iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X0 != iProver_Domain_i_1 )
        | ( X2 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1 ) ) ) ) ).

%------ Negative definition of sP5_iProver_split 
fof(lit_def_012,axiom,
    ! [X0,X1,X2] :
      ( ~ sP5_iProver_split(X0,X1,X2)
    <=> ( ( X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1 )
          & X0 != iProver_Domain_i_2
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_013,axiom,
    ! [X0,X1] :
      ( sP6_iProver_split(X0,X1)
    <=> X1 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_zero 
fof(lit_def_014,axiom,
    ! [X0,X1] :
      ( iProver_Flat_zero(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_apply 
fof(lit_def_015,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_apply(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & 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_2
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & 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 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2 ) ) ) ).

%------ Positive definition of iProver_Flat_sK0 
fof(lit_def_016,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_sK0(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_sK1 
fof(lit_def_017,axiom,
    ! [X0,X1,X2] :
      ( ~ iProver_Flat_sK1(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2 )
        | ( X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_2
          & X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 ) )
        | ( X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1 )
        | ( X2 = iProver_Domain_i_2
          & X0 != iProver_Domain_i_1
          & X0 != iProver_Domain_i_2 ) ) ) ).

%------ Negative definition of iProver_Flat_sK2 
fof(lit_def_018,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ iProver_Flat_sK2(X0,X1,X2,X3)
    <=> ( ( X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_sK3 
fof(lit_def_019,axiom,
    ! [X0,X1,X2,X3] :
      ( iProver_Flat_sK3(X0,X1,X2,X3)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_sK4 
fof(lit_def_020,axiom,
    ! [X0,X1,X2,X3] :
      ( iProver_Flat_sK4(X0,X1,X2,X3)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_2 ) ) ) ).

%------ Positive definition of iProver_Flat_sK5 
fof(lit_def_021,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( iProver_Flat_sK5(X0,X1,X2,X3,X4,X5)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & ( X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & X3 != iProver_Domain_i_2
          & ( X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 ) )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 ) )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X3 != iProver_Domain_i_1
          & ( X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_1
          & ( X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1 )
          & X3 != iProver_Domain_i_2
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1 ) )
        | ( X0 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X4 != iProver_Domain_i_1
          & ( X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 ) )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X3 != iProver_Domain_i_1
          & ( X3 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & X4 != iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_sK6 
fof(lit_def_022,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ iProver_Flat_sK6(X0,X1,X2,X3,X4,X5)
    <=> ( ( X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X4 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2
          & ( X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 ) )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_1
          & ( X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_1
          & ( X3 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X4 != iProver_Domain_i_1
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_sK7 
fof(lit_def_023,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ iProver_Flat_sK7(X0,X1,X2,X3,X4,X5)
    <=> ( ( X0 != iProver_Domain_i_1
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X1 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X1 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X0 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & ( X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & X4 != iProver_Domain_i_1
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2
          & ( X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & X4 != iProver_Domain_i_1
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X4 != iProver_Domain_i_1
          & ( X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X4 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 ) )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 ) )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & X5 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_1 )
          & X2 != iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_1
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_1
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_2
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & X2 != iProver_Domain_i_2
          & ( X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & X5 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2
          & ( X3 != iProver_Domain_i_1
            | X4 != iProver_Domain_i_2 )
          & ( X3 != iProver_Domain_i_2
            | X4 != iProver_Domain_i_2 )
          & X4 != iProver_Domain_i_1
          & X4 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X5 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & X5 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_2
          & X5 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X4 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X5 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X5 != iProver_Domain_i_2 )
          & X5 != iProver_Domain_i_1
          & X5 != iProver_Domain_i_2 ) ) ) ).

%------ Positive definition of iProver_Flat_subtract 
fof(lit_def_024,axiom,
    ! [X0,X1,X2,X3] :
      ( iProver_Flat_subtract(X0,X1,X2,X3)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & 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_2
            | X2 != iProver_Domain_i_1 )
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 )
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & ( X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1 )
          & ( X2 != iProver_Domain_i_2
            | X3 != iProver_Domain_i_2 )
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X3 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_2 ) ) ) ).

%------ Positive definition of iProver_Flat_alpha 
fof(lit_def_025,axiom,
    ! [X0] :
      ( iProver_Flat_alpha(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_a 
fof(lit_def_026,axiom,
    ! [X0] :
      ( iProver_Flat_a(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

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

%------ Positive definition of iProver_Flat_beta 
fof(lit_def_028,axiom,
    ! [X0] :
      ( iProver_Flat_beta(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

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

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

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

%------ Positive definition of iProver_Flat_e 
fof(lit_def_032,axiom,
    ! [X0] :
      ( iProver_Flat_e(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

%------ Positive definition of iProver_Flat_delta 
fof(lit_def_033,axiom,
    ! [X0] :
      ( iProver_Flat_delta(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_r 
fof(lit_def_034,axiom,
    ! [X0] :
      ( iProver_Flat_r(X0)
    <=> X0 = iProver_Domain_i_3 ) ).

%------ Positive definition of iProver_Flat_f 
fof(lit_def_035,axiom,
    ! [X0] :
      ( iProver_Flat_f(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

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

%------ Positive definition of iProver_Flat_h 
fof(lit_def_037,axiom,
    ! [X0] :
      ( iProver_Flat_h(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : HAL003+2 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.09  % Command  : run_iprover %s %d SAT
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Aug 28 02:33:45 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.14/0.38  Running model finding
% 0.14/0.38  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 33.54/5.05  % SZS status Started for theBenchmark.p
% 33.54/5.05  % SZS status CounterSatisfiable for theBenchmark.p
% 33.54/5.05  
% 33.54/5.05  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 33.54/5.05  
% 33.54/5.05  ------  iProver source info
% 33.54/5.05  
% 33.54/5.05  git: date: 2023-05-31 18:12:56 +0000
% 33.54/5.05  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 33.54/5.05  git: non_committed_changes: false
% 33.54/5.05  git: last_make_outside_of_git: false
% 33.54/5.05  
% 33.54/5.05  ------ Parsing...
% 33.54/5.05  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 33.54/5.05  
% 33.54/5.05  ------ Preprocessing... sup_sim: 0  pe_s  pe_e  sup_sim: 0  pe_s  pe_e 
% 33.54/5.05  
% 33.54/5.05  ------ Preprocessing... scvd_s sp: 13 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 33.54/5.05  
% 33.54/5.05  ------ Preprocessing...
% 33.54/5.05  ------ Proving...
% 33.54/5.05  ------ Problem Properties 
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  clauses                                 47
% 33.54/5.05  conjectures                             14
% 33.54/5.05  EPR                                     20
% 33.54/5.05  Horn                                    32
% 33.54/5.05  unary                                   14
% 33.54/5.05  binary                                  2
% 33.54/5.05  lits                                    134
% 33.54/5.05  lits eq                                 21
% 33.54/5.05  fd_pure                                 0
% 33.54/5.05  fd_pseudo                               0
% 33.54/5.05  fd_cond                                 0
% 33.54/5.05  fd_pseudo_cond                          1
% 33.54/5.05  AC symbols                              0
% 33.54/5.05  
% 33.54/5.05  ------ Input Options Time Limit: Unbounded
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Finite Models:
% 33.54/5.05  
% 33.54/5.05  ------ lit_activity_flag true
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 1
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  ------ 
% 33.54/5.05  Current options:
% 33.54/5.05  ------ 
% 33.54/5.05  
% 33.54/5.05  ------ Input Options
% 33.54/5.05  
% 33.54/5.05  --out_options                           all
% 33.54/5.05  --tptp_safe_out                         true
% 33.54/5.05  --problem_path                          ""
% 33.54/5.05  --include_path                          ""
% 33.54/5.05  --clausifier                            res/vclausify_rel
% 33.54/5.05  --clausifier_options                    --mode clausify -t 300.00
% 33.54/5.05  --stdin                                 false
% 33.54/5.05  --proof_out                             true
% 33.54/5.05  --proof_dot_file                        ""
% 33.54/5.05  --proof_reduce_dot                      []
% 33.54/5.05  --suppress_sat_res                      false
% 33.54/5.05  --suppress_unsat_res                    true
% 33.54/5.05  --stats_out                             all
% 33.54/5.05  --stats_mem                             false
% 33.54/5.05  --theory_stats_out                      false
% 33.54/5.05  
% 33.54/5.05  ------ General Options
% 33.54/5.05  
% 33.54/5.05  --fof                                   false
% 33.54/5.05  --time_out_real                         300.
% 33.54/5.05  --time_out_virtual                      -1.
% 33.54/5.05  --rnd_seed                              13
% 33.54/5.05  --symbol_type_check                     false
% 33.54/5.05  --clausify_out                          false
% 33.54/5.05  --sig_cnt_out                           false
% 33.54/5.05  --trig_cnt_out                          false
% 33.54/5.05  --trig_cnt_out_tolerance                1.
% 33.54/5.05  --trig_cnt_out_sk_spl                   false
% 33.54/5.05  --abstr_cl_out                          false
% 33.54/5.05  
% 33.54/5.05  ------ Interactive Mode
% 33.54/5.05  
% 33.54/5.05  --interactive_mode                      false
% 33.54/5.05  --external_ip_address                   ""
% 33.54/5.05  --external_port                         0
% 33.54/5.05  
% 33.54/5.05  ------ Global Options
% 33.54/5.05  
% 33.54/5.05  --schedule                              none
% 33.54/5.05  --add_important_lit                     false
% 33.54/5.05  --prop_solver_per_cl                    500
% 33.54/5.05  --subs_bck_mult                         8
% 33.54/5.05  --min_unsat_core                        false
% 33.54/5.05  --soft_assumptions                      false
% 33.54/5.05  --soft_lemma_size                       3
% 33.54/5.05  --prop_impl_unit_size                   0
% 33.54/5.05  --prop_impl_unit                        []
% 33.54/5.05  --share_sel_clauses                     true
% 33.54/5.05  --reset_solvers                         false
% 33.54/5.05  --bc_imp_inh                            [conj_cone]
% 33.54/5.05  --conj_cone_tolerance                   3.
% 33.54/5.05  --extra_neg_conj                        all_pos_neg
% 33.54/5.05  --large_theory_mode                     true
% 33.54/5.05  --prolific_symb_bound                   500
% 33.54/5.05  --lt_threshold                          2000
% 33.54/5.05  --clause_weak_htbl                      true
% 33.54/5.05  --gc_record_bc_elim                     false
% 33.54/5.05  
% 33.54/5.05  ------ Preprocessing Options
% 33.54/5.05  
% 33.54/5.05  --preprocessing_flag                    true
% 33.54/5.05  --time_out_prep_mult                    0.2
% 33.54/5.05  --splitting_mode                        input
% 33.54/5.05  --splitting_grd                         false
% 33.54/5.05  --splitting_cvd                         true
% 33.54/5.05  --splitting_cvd_svl                     true
% 33.54/5.05  --splitting_nvd                         256
% 33.54/5.05  --sub_typing                            false
% 33.54/5.05  --prep_gs_sim                           false
% 33.54/5.05  --prep_unflatten                        true
% 33.54/5.05  --prep_res_sim                          true
% 33.54/5.05  --prep_sup_sim_all                      true
% 33.54/5.05  --prep_sup_sim_sup                      false
% 33.54/5.05  --prep_upred                            true
% 33.54/5.05  --prep_well_definedness                 true
% 33.54/5.05  --prep_sem_filter                       none
% 33.54/5.05  --prep_sem_filter_out                   false
% 33.54/5.05  --pred_elim                             true
% 33.54/5.05  --res_sim_input                         false
% 33.54/5.05  --eq_ax_congr_red                       true
% 33.54/5.05  --pure_diseq_elim                       false
% 33.54/5.05  --brand_transform                       false
% 33.54/5.05  --non_eq_to_eq                          false
% 33.54/5.05  --prep_def_merge                        false
% 33.54/5.05  --prep_def_merge_prop_impl              false
% 33.54/5.05  --prep_def_merge_mbd                    true
% 33.54/5.05  --prep_def_merge_tr_red                 false
% 33.54/5.05  --prep_def_merge_tr_cl                  false
% 33.54/5.05  --smt_preprocessing                     false
% 33.54/5.05  --smt_ac_axioms                         fast
% 33.54/5.05  --preprocessed_out                      false
% 33.54/5.05  --preprocessed_stats                    false
% 33.54/5.05  
% 33.54/5.05  ------ Abstraction refinement Options
% 33.54/5.05  
% 33.54/5.05  --abstr_ref                             []
% 33.54/5.05  --abstr_ref_prep                        false
% 33.54/5.05  --abstr_ref_until_sat                   false
% 33.54/5.05  --abstr_ref_sig_restrict                funpre
% 33.54/5.05  --abstr_ref_af_restrict_to_split_sk     false
% 33.54/5.05  --abstr_ref_under                       []
% 33.54/5.05  
% 33.54/5.05  ------ SAT Options
% 33.54/5.05  
% 33.54/5.05  --sat_mode                              true
% 33.54/5.05  --sat_fm_restart_options                ""
% 33.54/5.05  --sat_gr_def                            false
% 33.54/5.05  --sat_epr_types                         false
% 33.54/5.05  --sat_non_cyclic_types                  true
% 33.54/5.05  --sat_finite_models                     true
% 33.54/5.05  --sat_fm_lemmas                         false
% 33.54/5.05  --sat_fm_prep                           false
% 33.54/5.05  --sat_fm_uc_incr                        true
% 33.54/5.05  --sat_out_model                         small
% 33.54/5.05  --sat_out_clauses                       false
% 33.54/5.05  
% 33.54/5.05  ------ QBF Options
% 33.54/5.05  
% 33.54/5.05  --qbf_mode                              false
% 33.54/5.05  --qbf_elim_univ                         false
% 33.54/5.05  --qbf_dom_inst                          none
% 33.54/5.05  --qbf_dom_pre_inst                      false
% 33.54/5.05  --qbf_sk_in                             false
% 33.54/5.05  --qbf_pred_elim                         true
% 33.54/5.05  --qbf_split                             512
% 33.54/5.05  
% 33.54/5.05  ------ BMC1 Options
% 33.54/5.05  
% 33.54/5.05  --bmc1_incremental                      false
% 33.54/5.05  --bmc1_axioms                           reachable_all
% 33.54/5.05  --bmc1_min_bound                        0
% 33.54/5.05  --bmc1_max_bound                        -1
% 33.54/5.05  --bmc1_max_bound_default                -1
% 33.54/5.05  --bmc1_symbol_reachability              false
% 33.54/5.05  --bmc1_property_lemmas                  false
% 33.54/5.05  --bmc1_k_induction                      false
% 33.54/5.05  --bmc1_non_equiv_states                 false
% 33.54/5.05  --bmc1_deadlock                         false
% 33.54/5.05  --bmc1_ucm                              false
% 33.54/5.05  --bmc1_add_unsat_core                   none
% 33.54/5.05  --bmc1_unsat_core_children              false
% 33.54/5.05  --bmc1_unsat_core_extrapolate_axioms    false
% 33.54/5.05  --bmc1_out_stat                         full
% 33.54/5.05  --bmc1_ground_init                      false
% 33.54/5.05  --bmc1_pre_inst_next_state              false
% 33.54/5.05  --bmc1_pre_inst_state                   false
% 33.54/5.05  --bmc1_pre_inst_reach_state             false
% 33.54/5.05  --bmc1_out_unsat_core                   false
% 33.54/5.05  --bmc1_aig_witness_out                  false
% 33.54/5.05  --bmc1_verbose                          false
% 33.54/5.05  --bmc1_dump_clauses_tptp                false
% 33.54/5.05  --bmc1_dump_unsat_core_tptp             false
% 33.54/5.05  --bmc1_dump_file                        -
% 33.54/5.05  --bmc1_ucm_expand_uc_limit              128
% 33.54/5.05  --bmc1_ucm_n_expand_iterations          6
% 33.54/5.05  --bmc1_ucm_extend_mode                  1
% 33.54/5.05  --bmc1_ucm_init_mode                    2
% 33.54/5.05  --bmc1_ucm_cone_mode                    none
% 33.54/5.05  --bmc1_ucm_reduced_relation_type        0
% 33.54/5.05  --bmc1_ucm_relax_model                  4
% 33.54/5.05  --bmc1_ucm_full_tr_after_sat            true
% 33.54/5.05  --bmc1_ucm_expand_neg_assumptions       false
% 33.54/5.05  --bmc1_ucm_layered_model                none
% 33.54/5.05  --bmc1_ucm_max_lemma_size               10
% 33.54/5.05  
% 33.54/5.05  ------ AIG Options
% 33.54/5.05  
% 33.54/5.05  --aig_mode                              false
% 33.54/5.05  
% 33.54/5.05  ------ Instantiation Options
% 33.54/5.05  
% 33.54/5.05  --instantiation_flag                    true
% 33.54/5.05  --inst_sos_flag                         false
% 33.54/5.05  --inst_sos_phase                        true
% 33.54/5.05  --inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 33.54/5.05  --inst_lit_sel                          [-sign;+num_symb;+non_prol_conj_symb]
% 33.54/5.05  --inst_lit_sel_side                     num_lit
% 33.54/5.05  --inst_solver_per_active                1400
% 33.54/5.05  --inst_solver_calls_frac                0.01
% 33.54/5.05  --inst_to_smt_solver                    true
% 33.54/5.05  --inst_passive_queue_type               priority_queues
% 33.54/5.05  --inst_passive_queues                   [[+conj_dist;+num_lits;-age];[-conj_symb;-min_def_symb;+bc_imp_inh]]
% 33.54/5.05  --inst_passive_queues_freq              [512;64]
% 33.54/5.05  --inst_dismatching                      true
% 33.54/5.05  --inst_eager_unprocessed_to_passive     false
% 33.54/5.05  --inst_unprocessed_bound                1000
% 33.54/5.05  --inst_prop_sim_given                   true
% 33.54/5.05  --inst_prop_sim_new                     true
% 33.54/5.05  --inst_subs_new                         false
% 33.54/5.05  --inst_eq_res_simp                      false
% 33.54/5.05  --inst_subs_given                       true
% 33.54/5.05  --inst_orphan_elimination               false
% 33.54/5.05  --inst_learning_loop_flag               true
% 33.54/5.05  --inst_learning_start                   5
% 33.54/5.05  --inst_learning_factor                  8
% 33.54/5.05  --inst_start_prop_sim_after_learn       0
% 33.54/5.05  --inst_sel_renew                        solver
% 33.54/5.05  --inst_lit_activity_flag                true
% 33.54/5.05  --inst_restr_to_given                   false
% 33.54/5.05  --inst_activity_threshold               10000
% 33.54/5.05  
% 33.54/5.05  ------ Resolution Options
% 33.54/5.05  
% 33.54/5.05  --resolution_flag                       false
% 33.54/5.05  --res_lit_sel                           neg_max
% 33.54/5.05  --res_lit_sel_side                      num_lit
% 33.54/5.05  --res_ordering                          kbo
% 33.54/5.05  --res_to_prop_solver                    passive
% 33.54/5.05  --res_prop_simpl_new                    true
% 33.54/5.05  --res_prop_simpl_given                  true
% 33.54/5.05  --res_to_smt_solver                     true
% 33.54/5.05  --res_passive_queue_type                priority_queues
% 33.54/5.05  --res_passive_queues                    [[-has_eq;-conj_non_prolific_symb;+ground];[-bc_imp_inh;-conj_symb]]
% 33.54/5.05  --res_passive_queues_freq               [1024;32]
% 33.54/5.05  --res_forward_subs                      subset_subsumption
% 33.54/5.05  --res_backward_subs                     subset_subsumption
% 33.54/5.05  --res_forward_subs_resolution           true
% 33.54/5.05  --res_backward_subs_resolution          false
% 33.54/5.05  --res_orphan_elimination                false
% 33.54/5.05  --res_time_limit                        10.
% 33.54/5.05  
% 33.54/5.05  ------ Superposition Options
% 33.54/5.05  
% 33.54/5.05  --superposition_flag                    false
% 33.54/5.05  --sup_passive_queue_type                priority_queues
% 33.54/5.05  --sup_passive_queues                    [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 33.54/5.05  --sup_passive_queues_freq               [8;1;4;4]
% 33.54/5.05  --demod_completeness_check              fast
% 33.54/5.05  --demod_use_ground                      true
% 33.54/5.05  --sup_unprocessed_bound                 0
% 33.54/5.05  --sup_to_prop_solver                    passive
% 33.54/5.05  --sup_prop_simpl_new                    true
% 33.54/5.05  --sup_prop_simpl_given                  true
% 33.54/5.05  --sup_fun_splitting                     false
% 33.54/5.05  --sup_iter_deepening                    2
% 33.54/5.05  --sup_restarts_mult                     12
% 33.54/5.05  --sup_score                             sim_d_gen
% 33.54/5.05  --sup_share_score_frac                  0.2
% 33.54/5.05  --sup_share_max_num_cl                  500
% 33.54/5.05  --sup_ordering                          kbo
% 33.54/5.05  --sup_symb_ordering                     invfreq
% 33.54/5.05  --sup_term_weight                       default
% 33.54/5.05  
% 33.54/5.05  ------ Superposition Simplification Setup
% 33.54/5.05  
% 33.54/5.05  --sup_indices_passive                   [LightNormIndex;FwDemodIndex]
% 33.54/5.05  --sup_full_triv                         [SMTSimplify;PropSubs]
% 33.54/5.05  --sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 33.54/5.05  --sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 33.54/5.05  --sup_immed_triv                        []
% 33.54/5.05  --sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 33.54/5.05  --sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
% 33.54/5.05  --sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
% 33.54/5.05  --sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 33.54/5.05  --sup_input_triv                        [Unflattening;SMTSimplify]
% 33.54/5.05  --sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 33.54/5.05  --sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 33.54/5.05  --sup_full_fixpoint                     true
% 33.54/5.05  --sup_main_fixpoint                     true
% 33.54/5.05  --sup_immed_fixpoint                    false
% 33.54/5.05  --sup_input_fixpoint                    true
% 33.54/5.05  --sup_cache_sim                         none
% 33.54/5.05  --sup_smt_interval                      500
% 33.54/5.05  --sup_bw_gjoin_interval                 0
% 33.54/5.05  
% 33.54/5.05  ------ Combination Options
% 33.54/5.05  
% 33.54/5.05  --comb_mode                             clause_based
% 33.54/5.05  --comb_inst_mult                        1000
% 33.54/5.05  --comb_res_mult                         10
% 33.54/5.05  --comb_sup_mult                         8
% 33.54/5.05  --comb_sup_deep_mult                    2
% 33.54/5.05  
% 33.54/5.05  ------ Debug Options
% 33.54/5.05  
% 33.54/5.05  --dbg_backtrace                         false
% 33.54/5.05  --dbg_dump_prop_clauses                 false
% 33.54/5.05  --dbg_dump_prop_clauses_file            -
% 33.54/5.05  --dbg_out_stat                          false
% 33.54/5.05  --dbg_just_parse                        false
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 2
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  ------ Trying domains of size >= : 3
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  ------ Proving...
% 33.54/5.05  
% 33.54/5.05  
% 33.54/5.05  % SZS status CounterSatisfiable for theBenchmark.p
% 33.54/5.05  
% 33.54/5.05  ------ Building Model...Done
% 33.54/5.05  
% 33.54/5.05  %------ The model is defined over ground terms (initial term algebra).
% 33.54/5.05  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 33.54/5.05  %------ where \phi is a formula over the term algebra.
% 33.54/5.05  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 33.54/5.05  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 33.54/5.05  %------ See help for --sat_out_model for different model outputs.
% 33.54/5.05  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 33.54/5.05  %------ where the first argument stands for the sort ($i in the unsorted case)
% 33.54/5.05  % SZS output start Model for theBenchmark.p
% See solution above
% 33.54/5.06  ------                               Statistics
% 33.54/5.06  
% 33.54/5.06  ------ Problem properties
% 33.54/5.06  
% 33.54/5.06  clauses:                                47
% 33.54/5.06  conjectures:                            14
% 33.54/5.06  epr:                                    20
% 33.54/5.06  horn:                                   32
% 33.54/5.06  ground:                                 14
% 33.54/5.06  unary:                                  14
% 33.54/5.06  binary:                                 2
% 33.54/5.06  lits:                                   134
% 33.54/5.06  lits_eq:                                21
% 33.54/5.07  fd_pure:                                0
% 33.54/5.07  fd_pseudo:                              0
% 33.54/5.07  fd_cond:                                0
% 33.54/5.07  fd_pseudo_cond:                         1
% 33.54/5.07  ac_symbols:                             0
% 33.54/5.07  
% 33.54/5.07  ------ General
% 33.54/5.07  
% 33.54/5.07  abstr_ref_over_cycles:                  0
% 33.54/5.07  abstr_ref_under_cycles:                 0
% 33.54/5.07  gc_basic_clause_elim:                   0
% 33.54/5.07  num_of_symbols:                         222
% 33.54/5.07  num_of_terms:                           14957
% 33.54/5.07  
% 33.54/5.07  parsing_time:                           0.005
% 33.54/5.07  unif_index_cands_time:                  0.093
% 33.54/5.07  unif_index_add_time:                    0.038
% 33.54/5.07  orderings_time:                         0.
% 33.54/5.07  out_proof_time:                         0.
% 33.54/5.07  total_time:                             4.255
% 33.54/5.07  
% 33.54/5.07  ------ Preprocessing
% 33.54/5.07  
% 33.54/5.07  num_of_splits:                          13
% 33.54/5.07  num_of_split_atoms:                     7
% 33.54/5.07  num_of_reused_defs:                     6
% 33.54/5.07  num_eq_ax_congr_red:                    58
% 33.54/5.07  num_of_sem_filtered_clauses:            0
% 33.54/5.07  num_of_subtypes:                        0
% 33.54/5.07  monotx_restored_types:                  0
% 33.54/5.07  sat_num_of_epr_types:                   0
% 33.54/5.07  sat_num_of_non_cyclic_types:            0
% 33.54/5.07  sat_guarded_non_collapsed_types:        0
% 33.54/5.07  num_pure_diseq_elim:                    0
% 33.54/5.07  simp_replaced_by:                       0
% 33.54/5.07  res_preprocessed:                       0
% 33.54/5.07  sup_preprocessed:                       0
% 33.54/5.07  prep_upred:                             0
% 33.54/5.07  prep_unflattend:                        136
% 33.54/5.07  prep_well_definedness:                  0
% 33.54/5.07  smt_new_axioms:                         0
% 33.54/5.07  pred_elim_cands:                        6
% 33.54/5.07  pred_elim:                              0
% 33.54/5.07  pred_elim_cl:                           0
% 33.54/5.07  pred_elim_cycles:                       8
% 33.54/5.07  merged_defs:                            0
% 33.54/5.07  merged_defs_ncl:                        0
% 33.54/5.07  bin_hyper_res:                          0
% 33.54/5.07  prep_cycles:                            3
% 33.54/5.07  
% 33.54/5.07  splitting_time:                         0.007
% 33.54/5.07  sem_filter_time:                        0.
% 33.54/5.07  monotx_time:                            0.
% 33.54/5.07  subtype_inf_time:                       0.
% 33.54/5.07  res_prep_time:                          0.018
% 33.54/5.07  sup_prep_time:                          0.008
% 33.54/5.07  pred_elim_time:                         0.034
% 33.54/5.07  bin_hyper_res_time:                     0.
% 33.54/5.07  prep_time_total:                        0.069
% 33.54/5.07  
% 33.54/5.07  ------ Propositional Solver
% 33.54/5.07  
% 33.54/5.07  prop_solver_calls:                      1514
% 33.54/5.07  prop_fast_solver_calls:                 1363
% 33.54/5.07  smt_solver_calls:                       0
% 33.54/5.07  smt_fast_solver_calls:                  0
% 33.54/5.07  prop_num_of_clauses:                    13373
% 33.54/5.07  prop_preprocess_simplified:             102418
% 33.54/5.07  prop_fo_subsumed:                       0
% 33.54/5.07  
% 33.54/5.07  prop_solver_time:                       0.538
% 33.54/5.07  prop_fast_solver_time:                  0.001
% 33.54/5.07  prop_unsat_core_time:                   0.009
% 33.54/5.07  smt_solver_time:                        0.
% 33.54/5.07  smt_fast_solver_time:                   0.
% 33.54/5.07  
% 33.54/5.07  ------ QBF
% 33.54/5.07  
% 33.54/5.07  qbf_q_res:                              0
% 33.54/5.07  qbf_num_tautologies:                    0
% 33.54/5.07  qbf_prep_cycles:                        0
% 33.54/5.07  
% 33.54/5.07  ------ BMC1
% 33.54/5.07  
% 33.54/5.07  bmc1_current_bound:                     -1
% 33.54/5.07  bmc1_last_solved_bound:                 -1
% 33.54/5.07  bmc1_unsat_core_size:                   -1
% 33.54/5.07  bmc1_unsat_core_parents_size:           -1
% 33.54/5.07  bmc1_merge_next_fun:                    0
% 33.54/5.07  
% 33.54/5.07  bmc1_unsat_core_clauses_time:           0.
% 33.54/5.07  
% 33.54/5.07  ------ Instantiation
% 33.54/5.07  
% 33.54/5.07  inst_num_of_clauses:                    2288
% 33.54/5.07  inst_num_in_passive:                    0
% 33.54/5.07  inst_num_in_active:                     11878
% 33.54/5.07  inst_num_of_loops:                      15937
% 33.54/5.07  inst_num_in_unprocessed:                0
% 33.54/5.07  inst_num_of_learning_restarts:          26
% 33.54/5.07  inst_num_moves_active_passive:          3837
% 33.54/5.07  inst_lit_activity:                      0
% 33.54/5.07  inst_lit_activity_moves:                0
% 33.54/5.07  inst_num_tautologies:                   0
% 33.54/5.07  inst_num_prop_implied:                  0
% 33.54/5.07  inst_num_existing_simplified:           0
% 33.54/5.07  inst_num_eq_res_simplified:             0
% 33.54/5.07  inst_num_child_elim:                    0
% 33.54/5.07  inst_num_of_dismatching_blockings:      7061
% 33.54/5.07  inst_num_of_non_proper_insts:           19868
% 33.54/5.07  inst_num_of_duplicates:                 0
% 33.54/5.07  inst_inst_num_from_inst_to_res:         0
% 33.54/5.07  
% 33.54/5.07  inst_time_sim_new:                      0.954
% 33.54/5.07  inst_time_sim_given:                    1.06
% 33.54/5.07  inst_time_dismatching_checking:         0.097
% 33.54/5.07  inst_time_total:                        4.038
% 33.54/5.07  
% 33.54/5.07  ------ Resolution
% 33.54/5.07  
% 33.54/5.07  res_num_of_clauses:                     57
% 33.54/5.07  res_num_in_passive:                     0
% 33.54/5.07  res_num_in_active:                      0
% 33.54/5.07  res_num_of_loops:                       140
% 33.54/5.07  res_forward_subset_subsumed:            9
% 33.54/5.07  res_backward_subset_subsumed:           0
% 33.54/5.07  res_forward_subsumed:                   89
% 33.54/5.07  res_backward_subsumed:                  1
% 33.54/5.07  res_forward_subsumption_resolution:     0
% 33.54/5.07  res_backward_subsumption_resolution:    0
% 33.54/5.07  res_clause_to_clause_subsumption:       67995
% 33.54/5.07  res_subs_bck_cnt:                       8
% 33.54/5.07  res_orphan_elimination:                 0
% 33.54/5.07  res_tautology_del:                      344
% 33.54/5.07  res_num_eq_res_simplified:              0
% 33.54/5.07  res_num_sel_changes:                    0
% 33.54/5.07  res_moves_from_active_to_pass:          0
% 33.54/5.07  
% 33.54/5.07  res_time_sim_new:                       0.004
% 33.54/5.07  res_time_sim_fw_given:                  0.008
% 33.54/5.07  res_time_sim_bw_given:                  0.003
% 33.54/5.07  res_time_total:                         0.005
% 33.54/5.07  
% 33.54/5.07  ------ Superposition
% 33.54/5.07  
% 33.54/5.07  sup_num_of_clauses:                     undef
% 33.54/5.07  sup_num_in_active:                      undef
% 33.54/5.07  sup_num_in_passive:                     undef
% 33.54/5.07  sup_num_of_loops:                       0
% 33.54/5.07  sup_fw_superposition:                   0
% 33.54/5.07  sup_bw_superposition:                   0
% 33.54/5.07  sup_eq_factoring:                       0
% 33.54/5.07  sup_eq_resolution:                      0
% 33.54/5.07  sup_immediate_simplified:               0
% 33.54/5.07  sup_given_eliminated:                   0
% 33.54/5.07  comparisons_done:                       82
% 33.54/5.07  comparisons_avoided:                    0
% 33.54/5.07  comparisons_inc_criteria:               0
% 33.54/5.07  sup_deep_cl_discarded:                  0
% 33.54/5.07  sup_num_of_deepenings:                  0
% 33.54/5.07  sup_num_of_restarts:                    0
% 33.54/5.07  
% 33.54/5.07  sup_time_generating:                    0.
% 33.54/5.07  sup_time_sim_fw_full:                   0.
% 33.54/5.07  sup_time_sim_bw_full:                   0.
% 33.54/5.07  sup_time_sim_fw_immed:                  0.
% 33.54/5.07  sup_time_sim_bw_immed:                  0.
% 33.54/5.07  sup_time_prep_sim_fw_input:             0.003
% 33.54/5.07  sup_time_prep_sim_bw_input:             0.004
% 33.54/5.07  sup_time_total:                         0.
% 33.54/5.07  
% 33.54/5.07  ------ Simplifications
% 33.54/5.07  
% 33.54/5.07  sim_repeated:                           0
% 33.54/5.07  sim_fw_subset_subsumed:                 0
% 33.54/5.07  sim_bw_subset_subsumed:                 0
% 33.54/5.07  sim_fw_subsumed:                        0
% 33.54/5.07  sim_bw_subsumed:                        0
% 33.54/5.07  sim_fw_subsumption_res:                 0
% 33.54/5.07  sim_bw_subsumption_res:                 0
% 33.54/5.07  sim_fw_unit_subs:                       0
% 33.54/5.07  sim_bw_unit_subs:                       0
% 33.54/5.07  sim_tautology_del:                      0
% 33.54/5.07  sim_eq_tautology_del:                   0
% 33.54/5.07  sim_eq_res_simp:                        0
% 33.54/5.07  sim_fw_demodulated:                     0
% 33.54/5.07  sim_bw_demodulated:                     0
% 33.54/5.07  sim_encompassment_demod:                0
% 33.54/5.07  sim_light_normalised:                   0
% 33.54/5.07  sim_ac_normalised:                      0
% 33.54/5.07  sim_joinable_taut:                      0
% 33.54/5.07  sim_joinable_simp:                      0
% 33.54/5.07  sim_fw_ac_demod:                        0
% 33.54/5.07  sim_bw_ac_demod:                        0
% 33.54/5.07  sim_smt_subsumption:                    0
% 33.54/5.07  sim_smt_simplified:                     0
% 33.54/5.07  sim_ground_joinable:                    0
% 33.54/5.07  sim_bw_ground_joinable:                 0
% 33.54/5.07  sim_connectedness:                      0
% 33.54/5.07  
% 33.54/5.07  sim_time_fw_subset_subs:                0.
% 33.54/5.07  sim_time_bw_subset_subs:                0.
% 33.54/5.07  sim_time_fw_subs:                       0.
% 33.54/5.07  sim_time_bw_subs:                       0.001
% 33.54/5.07  sim_time_fw_subs_res:                   0.002
% 33.54/5.07  sim_time_bw_subs_res:                   0.
% 33.54/5.07  sim_time_fw_unit_subs:                  0.
% 33.54/5.07  sim_time_bw_unit_subs:                  0.
% 33.54/5.07  sim_time_tautology_del:                 0.
% 33.54/5.07  sim_time_eq_tautology_del:              0.
% 33.54/5.07  sim_time_eq_res_simp:                   0.
% 33.54/5.07  sim_time_fw_demod:                      0.
% 33.54/5.07  sim_time_bw_demod:                      0.
% 33.54/5.07  sim_time_light_norm:                    0.
% 33.54/5.07  sim_time_joinable:                      0.
% 33.54/5.07  sim_time_ac_norm:                       0.
% 33.54/5.07  sim_time_fw_ac_demod:                   0.
% 33.54/5.07  sim_time_bw_ac_demod:                   0.
% 33.54/5.07  sim_time_smt_subs:                      0.
% 33.54/5.07  sim_time_fw_gjoin:                      0.
% 33.54/5.07  sim_time_fw_connected:                  0.
% 33.54/5.07  
% 33.54/5.08  
%------------------------------------------------------------------------------