TSTP Solution File: LAT025-1 by iProver-SAT---3.8

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%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : LAT025-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n014.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 06:18:35 EDT 2023

% Result   : Satisfiable 6.68s 1.65s
% Output   : Model 6.68s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

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

%------ Positive definition of iProver_Flat_meet2 
fof(lit_def_003,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_meet2(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_3 )
        | ( X0 = iProver_Domain_i_3
          & X2 = iProver_Domain_i_3
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_2
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_2 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X1 = iProver_Domain_i_5
          & X2 = iProver_Domain_i_4 )
        | ( X0 = iProver_Domain_i_4
          & X2 = iProver_Domain_i_4
          & X1 != iProver_Domain_i_1
          & X1 != iProver_Domain_i_2
          & X1 != iProver_Domain_i_3
          & X1 != iProver_Domain_i_4
          & X1 != iProver_Domain_i_5 )
        | ( X0 = iProver_Domain_i_5
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_4 )
          & X1 != iProver_Domain_i_2
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_2
            | X2 != iProver_Domain_i_4 )
          & X1 != iProver_Domain_i_3
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_3
            | X2 != iProver_Domain_i_4 )
          & X1 != iProver_Domain_i_4
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_1 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_2 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_3 )
          & ( X1 != iProver_Domain_i_4
            | X2 != iProver_Domain_i_4 )
          & X2 != iProver_Domain_i_1
          & X2 != iProver_Domain_i_2
          & X2 != iProver_Domain_i_3
          & X2 != iProver_Domain_i_4 ) ) ) ).

%------ Positive definition of iProver_Flat_a 
fof(lit_def_004,axiom,
    ! [X0] :
      ( iProver_Flat_a(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LAT025-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12  % Command  : run_iprover %s %d SAT
% 0.14/0.33  % Computer : n014.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Thu Aug 24 08:00:19 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.18/0.47  Running model finding
% 0.18/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.68/1.65  % SZS status Started for theBenchmark.p
% 6.68/1.65  % SZS status Satisfiable for theBenchmark.p
% 6.68/1.65  
% 6.68/1.65  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.68/1.65  
% 6.68/1.65  ------  iProver source info
% 6.68/1.65  
% 6.68/1.65  git: date: 2023-05-31 18:12:56 +0000
% 6.68/1.65  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.68/1.65  git: non_committed_changes: false
% 6.68/1.65  git: last_make_outside_of_git: false
% 6.68/1.65  
% 6.68/1.65  ------ Parsing...successful
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 6.68/1.65  
% 6.68/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.68/1.65  
% 6.68/1.65  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 6.68/1.65  ------ Proving...
% 6.68/1.65  ------ Problem Properties 
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  clauses                                 15
% 6.68/1.65  conjectures                             1
% 6.68/1.65  EPR                                     0
% 6.68/1.65  Horn                                    15
% 6.68/1.65  unary                                   15
% 6.68/1.65  binary                                  0
% 6.68/1.65  lits                                    15
% 6.68/1.65  lits eq                                 15
% 6.68/1.65  fd_pure                                 0
% 6.68/1.65  fd_pseudo                               0
% 6.68/1.65  fd_cond                                 0
% 6.68/1.65  fd_pseudo_cond                          0
% 6.68/1.65  AC symbols                              0
% 6.68/1.65  
% 6.68/1.65  ------ Input Options Time Limit: Unbounded
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  ------ Finite Models:
% 6.68/1.65  
% 6.68/1.65  ------ lit_activity_flag true
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  ------ Trying domains of size >= : 1
% 6.68/1.65  
% 6.68/1.65  ------ Trying domains of size >= : 2
% 6.68/1.65  ------ 
% 6.68/1.65  Current options:
% 6.68/1.65  ------ 
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  ------ Proving...
% 6.68/1.65  
% 6.68/1.65  ------ Trying domains of size >= : 2
% 6.68/1.65  
% 6.68/1.65  ------ Trying domains of size >= : 2
% 6.68/1.65  
% 6.68/1.65  ------ Trying domains of size >= : 2
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  ------ Proving...
% 6.68/1.65  
% 6.68/1.65  ------ Trying domains of size >= : 3
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  ------ Proving...
% 6.68/1.65  
% 6.68/1.65  ------ Trying domains of size >= : 4
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  ------ Proving...
% 6.68/1.65  
% 6.68/1.65  ------ Trying domains of size >= : 5
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  ------ Proving...
% 6.68/1.65  
% 6.68/1.65  
% 6.68/1.65  % SZS status Satisfiable for theBenchmark.p
% 6.68/1.65  
% 6.68/1.65  ------ Building Model...Done
% 6.68/1.65  
% 6.68/1.65  %------ The model is defined over ground terms (initial term algebra).
% 6.68/1.65  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 6.68/1.65  %------ where \phi is a formula over the term algebra.
% 6.68/1.65  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 6.68/1.65  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 6.68/1.65  %------ See help for --sat_out_model for different model outputs.
% 6.68/1.65  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 6.68/1.65  %------ where the first argument stands for the sort ($i in the unsorted case)
% 6.68/1.65  % SZS output start Model for theBenchmark.p
% See solution above
% 6.68/1.65  ------                               Statistics
% 6.68/1.65  
% 6.68/1.65  ------ Problem properties
% 6.68/1.65  
% 6.68/1.65  clauses:                                15
% 6.68/1.65  conjectures:                            1
% 6.68/1.65  epr:                                    0
% 6.68/1.65  horn:                                   15
% 6.68/1.65  ground:                                 1
% 6.68/1.65  unary:                                  15
% 6.68/1.65  binary:                                 0
% 6.68/1.65  lits:                                   15
% 6.68/1.65  lits_eq:                                15
% 6.68/1.65  fd_pure:                                0
% 6.68/1.65  fd_pseudo:                              0
% 6.68/1.65  fd_cond:                                0
% 6.68/1.65  fd_pseudo_cond:                         0
% 6.68/1.65  ac_symbols:                             0
% 6.68/1.65  
% 6.68/1.65  ------ General
% 6.68/1.65  
% 6.68/1.65  abstr_ref_over_cycles:                  0
% 6.68/1.65  abstr_ref_under_cycles:                 0
% 6.68/1.65  gc_basic_clause_elim:                   0
% 6.68/1.65  num_of_symbols:                         129
% 6.68/1.65  num_of_terms:                           3006
% 6.68/1.65  
% 6.68/1.65  parsing_time:                           0.
% 6.68/1.65  unif_index_cands_time:                  0.027
% 6.68/1.65  unif_index_add_time:                    0.02
% 6.68/1.65  orderings_time:                         0.
% 6.68/1.65  out_proof_time:                         0.
% 6.68/1.65  total_time:                             0.925
% 6.68/1.65  
% 6.68/1.65  ------ Preprocessing
% 6.68/1.65  
% 6.68/1.65  num_of_splits:                          0
% 6.68/1.65  num_of_split_atoms:                     0
% 6.68/1.65  num_of_reused_defs:                     0
% 6.68/1.65  num_eq_ax_congr_red:                    2
% 6.68/1.65  num_of_sem_filtered_clauses:            0
% 6.68/1.65  num_of_subtypes:                        0
% 6.68/1.65  monotx_restored_types:                  0
% 6.68/1.65  sat_num_of_epr_types:                   0
% 6.68/1.65  sat_num_of_non_cyclic_types:            0
% 6.68/1.65  sat_guarded_non_collapsed_types:        0
% 6.68/1.65  num_pure_diseq_elim:                    0
% 6.68/1.65  simp_replaced_by:                       0
% 6.68/1.65  res_preprocessed:                       0
% 6.68/1.65  sup_preprocessed:                       0
% 6.68/1.65  prep_upred:                             0
% 6.68/1.65  prep_unflattend:                        0
% 6.68/1.65  prep_well_definedness:                  0
% 6.68/1.65  smt_new_axioms:                         0
% 6.68/1.65  pred_elim_cands:                        0
% 6.68/1.65  pred_elim:                              0
% 6.68/1.65  pred_elim_cl:                           0
% 6.68/1.65  pred_elim_cycles:                       0
% 6.68/1.65  merged_defs:                            0
% 6.68/1.65  merged_defs_ncl:                        0
% 6.68/1.65  bin_hyper_res:                          0
% 6.68/1.65  prep_cycles:                            2
% 6.68/1.65  
% 6.68/1.65  splitting_time:                         0.
% 6.68/1.65  sem_filter_time:                        0.
% 6.68/1.65  monotx_time:                            0.
% 6.68/1.65  subtype_inf_time:                       0.
% 6.68/1.65  res_prep_time:                          0.002
% 6.68/1.65  sup_prep_time:                          0.
% 6.68/1.65  pred_elim_time:                         0.
% 6.68/1.65  bin_hyper_res_time:                     0.
% 6.68/1.65  prep_time_total:                        0.007
% 6.68/1.65  
% 6.68/1.65  ------ Propositional Solver
% 6.68/1.65  
% 6.68/1.65  prop_solver_calls:                      90
% 6.68/1.65  prop_fast_solver_calls:                 126
% 6.68/1.65  smt_solver_calls:                       0
% 6.68/1.65  smt_fast_solver_calls:                  0
% 6.68/1.65  prop_num_of_clauses:                    8726
% 6.68/1.65  prop_preprocess_simplified:             21706
% 6.68/1.65  prop_fo_subsumed:                       0
% 6.68/1.65  
% 6.68/1.65  prop_solver_time:                       0.011
% 6.68/1.65  prop_fast_solver_time:                  0.
% 6.68/1.65  prop_unsat_core_time:                   0.001
% 6.68/1.65  smt_solver_time:                        0.
% 6.68/1.65  smt_fast_solver_time:                   0.
% 6.68/1.65  
% 6.68/1.65  ------ QBF
% 6.68/1.65  
% 6.68/1.65  qbf_q_res:                              0
% 6.68/1.65  qbf_num_tautologies:                    0
% 6.68/1.65  qbf_prep_cycles:                        0
% 6.68/1.65  
% 6.68/1.65  ------ BMC1
% 6.68/1.65  
% 6.68/1.65  bmc1_current_bound:                     -1
% 6.68/1.65  bmc1_last_solved_bound:                 -1
% 6.68/1.65  bmc1_unsat_core_size:                   -1
% 6.68/1.65  bmc1_unsat_core_parents_size:           -1
% 6.68/1.65  bmc1_merge_next_fun:                    0
% 6.68/1.65  
% 6.68/1.65  bmc1_unsat_core_clauses_time:           0.
% 6.68/1.65  
% 6.68/1.65  ------ Instantiation
% 6.68/1.65  
% 6.68/1.65  inst_num_of_clauses:                    2200
% 6.68/1.65  inst_num_in_passive:                    0
% 6.68/1.65  inst_num_in_active:                     6836
% 6.68/1.65  inst_num_of_loops:                      9436
% 6.68/1.65  inst_num_in_unprocessed:                0
% 6.68/1.65  inst_num_of_learning_restarts:          1
% 6.68/1.65  inst_num_moves_active_passive:          2533
% 6.68/1.65  inst_lit_activity:                      0
% 6.68/1.65  inst_lit_activity_moves:                0
% 6.68/1.65  inst_num_tautologies:                   0
% 6.68/1.65  inst_num_prop_implied:                  0
% 6.68/1.65  inst_num_existing_simplified:           0
% 6.68/1.65  inst_num_eq_res_simplified:             0
% 6.68/1.65  inst_num_child_elim:                    0
% 6.68/1.65  inst_num_of_dismatching_blockings:      2263
% 6.68/1.65  inst_num_of_non_proper_insts:           8734
% 6.68/1.65  inst_num_of_duplicates:                 0
% 6.68/1.65  inst_inst_num_from_inst_to_res:         0
% 6.68/1.65  
% 6.68/1.65  inst_time_sim_new:                      0.274
% 6.68/1.65  inst_time_sim_given:                    0.
% 6.68/1.65  inst_time_dismatching_checking:         0.049
% 6.68/1.65  inst_time_total:                        0.849
% 6.68/1.65  
% 6.68/1.65  ------ Resolution
% 6.68/1.65  
% 6.68/1.65  res_num_of_clauses:                     20
% 6.68/1.65  res_num_in_passive:                     0
% 6.68/1.65  res_num_in_active:                      0
% 6.68/1.65  res_num_of_loops:                       37
% 6.68/1.65  res_forward_subset_subsumed:            1420
% 6.68/1.65  res_backward_subset_subsumed:           0
% 6.68/1.65  res_forward_subsumed:                   0
% 6.68/1.65  res_backward_subsumed:                  0
% 6.68/1.65  res_forward_subsumption_resolution:     0
% 6.68/1.65  res_backward_subsumption_resolution:    0
% 6.68/1.65  res_clause_to_clause_subsumption:       143
% 6.68/1.65  res_subs_bck_cnt:                       1
% 6.68/1.65  res_orphan_elimination:                 0
% 6.68/1.65  res_tautology_del:                      0
% 6.68/1.65  res_num_eq_res_simplified:              0
% 6.68/1.65  res_num_sel_changes:                    0
% 6.68/1.65  res_moves_from_active_to_pass:          0
% 6.68/1.65  
% 6.68/1.65  res_time_sim_new:                       0.
% 6.68/1.65  res_time_sim_fw_given:                  0.
% 6.68/1.65  res_time_sim_bw_given:                  0.
% 6.68/1.65  res_time_total:                         0.001
% 6.68/1.65  
% 6.68/1.65  ------ Superposition
% 6.68/1.65  
% 6.68/1.65  sup_num_of_clauses:                     undef
% 6.68/1.65  sup_num_in_active:                      undef
% 6.68/1.65  sup_num_in_passive:                     undef
% 6.68/1.65  sup_num_of_loops:                       0
% 6.68/1.65  sup_fw_superposition:                   0
% 6.68/1.65  sup_bw_superposition:                   0
% 6.68/1.65  sup_eq_factoring:                       0
% 6.68/1.65  sup_eq_resolution:                      0
% 6.68/1.65  sup_immediate_simplified:               0
% 6.68/1.65  sup_given_eliminated:                   0
% 6.68/1.65  comparisons_done:                       123
% 6.68/1.65  comparisons_avoided:                    0
% 6.68/1.65  comparisons_inc_criteria:               0
% 6.68/1.65  sup_deep_cl_discarded:                  0
% 6.68/1.65  sup_num_of_deepenings:                  0
% 6.68/1.65  sup_num_of_restarts:                    0
% 6.68/1.65  
% 6.68/1.65  sup_time_generating:                    0.
% 6.68/1.65  sup_time_sim_fw_full:                   0.
% 6.68/1.65  sup_time_sim_bw_full:                   0.
% 6.68/1.65  sup_time_sim_fw_immed:                  0.
% 6.68/1.65  sup_time_sim_bw_immed:                  0.
% 6.68/1.65  sup_time_prep_sim_fw_input:             0.
% 6.68/1.65  sup_time_prep_sim_bw_input:             0.
% 6.68/1.65  sup_time_total:                         0.
% 6.68/1.65  
% 6.68/1.65  ------ Simplifications
% 6.68/1.65  
% 6.68/1.65  sim_repeated:                           0
% 6.68/1.65  sim_fw_subset_subsumed:                 0
% 6.68/1.65  sim_bw_subset_subsumed:                 0
% 6.68/1.65  sim_fw_subsumed:                        0
% 6.68/1.65  sim_bw_subsumed:                        0
% 6.68/1.65  sim_fw_subsumption_res:                 0
% 6.68/1.65  sim_bw_subsumption_res:                 0
% 6.68/1.65  sim_fw_unit_subs:                       0
% 6.68/1.65  sim_bw_unit_subs:                       0
% 6.68/1.65  sim_tautology_del:                      0
% 6.68/1.65  sim_eq_tautology_del:                   0
% 6.68/1.65  sim_eq_res_simp:                        0
% 6.68/1.65  sim_fw_demodulated:                     0
% 6.68/1.65  sim_bw_demodulated:                     0
% 6.68/1.65  sim_encompassment_demod:                0
% 6.68/1.65  sim_light_normalised:                   0
% 6.68/1.65  sim_ac_normalised:                      0
% 6.68/1.65  sim_joinable_taut:                      0
% 6.68/1.65  sim_joinable_simp:                      0
% 6.68/1.65  sim_fw_ac_demod:                        0
% 6.68/1.65  sim_bw_ac_demod:                        0
% 6.68/1.65  sim_smt_subsumption:                    0
% 6.68/1.65  sim_smt_simplified:                     0
% 6.68/1.65  sim_ground_joinable:                    0
% 6.68/1.65  sim_bw_ground_joinable:                 0
% 6.68/1.65  sim_connectedness:                      0
% 6.68/1.65  
% 6.68/1.65  sim_time_fw_subset_subs:                0.
% 6.68/1.65  sim_time_bw_subset_subs:                0.
% 6.68/1.65  sim_time_fw_subs:                       0.
% 6.68/1.65  sim_time_bw_subs:                       0.
% 6.68/1.65  sim_time_fw_subs_res:                   0.
% 6.68/1.65  sim_time_bw_subs_res:                   0.
% 6.68/1.65  sim_time_fw_unit_subs:                  0.
% 6.68/1.65  sim_time_bw_unit_subs:                  0.
% 6.68/1.65  sim_time_tautology_del:                 0.
% 6.68/1.65  sim_time_eq_tautology_del:              0.
% 6.68/1.65  sim_time_eq_res_simp:                   0.
% 6.68/1.65  sim_time_fw_demod:                      0.
% 6.68/1.65  sim_time_bw_demod:                      0.
% 6.68/1.65  sim_time_light_norm:                    0.
% 6.68/1.65  sim_time_joinable:                      0.
% 6.68/1.65  sim_time_ac_norm:                       0.
% 6.68/1.65  sim_time_fw_ac_demod:                   0.
% 6.68/1.65  sim_time_bw_ac_demod:                   0.
% 6.68/1.65  sim_time_smt_subs:                      0.
% 6.68/1.65  sim_time_fw_gjoin:                      0.
% 6.68/1.65  sim_time_fw_connected:                  0.
% 6.68/1.65  
% 6.68/1.65  
%------------------------------------------------------------------------------