TSTP Solution File: TOP012-1 by iProver-SAT---3.8

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%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : TOP012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 05:57:50 EDT 2023

% Result   : Satisfiable 3.42s 1.16s
% Output   : Model 3.42s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of topological_space 
fof(lit_def,axiom,
    ! [X0,X1] :
      ( topological_space(X0,X1)
    <=> ( X0 = iProver_Domain_i_1
        & X1 != iProver_Domain_i_1 ) ) ).

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

%------ Negative definition of subset_sets 
fof(lit_def_002,axiom,
    ! [X0,X1] :
      ( ~ subset_sets(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | ( X1 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of element_of_collection 
fof(lit_def_003,axiom,
    ! [X0,X1] :
      ( element_of_collection(X0,X1)
    <=> ( X0 = iProver_Domain_i_1
        & X1 != iProver_Domain_i_1 ) ) ).

%------ Negative definition of element_of_set 
fof(lit_def_004,axiom,
    ! [X0,X1] :
      ( ~ element_of_set(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 )
        | X1 = iProver_Domain_i_1 ) ) ).

%------ Negative definition of equal_sets 
fof(lit_def_005,axiom,
    ! [X0,X1] :
      ( ~ equal_sets(X0,X1)
    <=> ( X1 = iProver_Domain_i_1
        & X0 != iProver_Domain_i_1 ) ) ).

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

%------ Positive definition of open 
fof(lit_def_007,axiom,
    ! [X0,X1,X2] :
      ( open(X0,X1,X2)
    <=> ( X0 = iProver_Domain_i_1
        & X1 = iProver_Domain_i_1
        & X2 != iProver_Domain_i_1 ) ) ).

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

%------ Positive definition of neighborhood 
fof(lit_def_009,axiom,
    ! [X0,X1,X2,X3] :
      ( neighborhood(X0,X1,X2,X3)
    <=> $false ) ).

%------ Positive definition of limit_point 
fof(lit_def_010,axiom,
    ! [X0,X1,X2,X3] :
      ( limit_point(X0,X1,X2,X3)
    <=> $false ) ).

%------ Positive definition of eq_p 
fof(lit_def_011,axiom,
    ! [X0,X1] :
      ( eq_p(X0,X1)
    <=> $true ) ).

%------ Positive definition of hausdorff 
fof(lit_def_012,axiom,
    ! [X0,X1] :
      ( hausdorff(X0,X1)
    <=> ( X0 = iProver_Domain_i_1
        & X1 != iProver_Domain_i_1 ) ) ).

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

%------ Positive definition of separation 
fof(lit_def_014,axiom,
    ! [X0,X1,X2,X3] :
      ( separation(X0,X1,X2,X3)
    <=> $false ) ).

%------ Positive definition of open_covering 
fof(lit_def_015,axiom,
    ! [X0,X1,X2] :
      ( open_covering(X0,X1,X2)
    <=> ( X0 = iProver_Domain_i_1
        & X1 = iProver_Domain_i_1
        & X2 != iProver_Domain_i_1 ) ) ).

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

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

%------ Positive definition of sP0_iProver_split 
fof(lit_def_018,axiom,
    ( sP0_iProver_split
  <=> $true ) ).

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

%------ Positive definition of iProver_Flat_ct 
fof(lit_def_020,axiom,
    ! [X0] :
      ( iProver_Flat_ct(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

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

%------ Positive definition of iProver_Flat_cy1 
fof(lit_def_022,axiom,
    ! [X0] :
      ( iProver_Flat_cy1(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_f 
fof(lit_def_023,axiom,
    ! [X0] :
      ( iProver_Flat_f(X0)
    <=> X0 = iProver_Domain_i_2 ) ).

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

%------ Positive definition of iProver_Flat_intersection_of_members 
fof(lit_def_025,axiom,
    ! [X0,X1] :
      ( iProver_Flat_intersection_of_members(X0,X1)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_cy2 
fof(lit_def_026,axiom,
    ! [X0] :
      ( iProver_Flat_cy2(X0)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Negative definition of iProver_Flat_union_of_sets 
fof(lit_def_027,axiom,
    ! [X0,X1,X2] :
      ( ~ iProver_Flat_union_of_sets(X0,X1,X2)
    <=> ( X0 = iProver_Domain_i_1
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_f1 
fof(lit_def_028,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_f1(X0,X1,X2)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_f2 
fof(lit_def_029,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_f2(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_intersection_of_sets 
fof(lit_def_030,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_intersection_of_sets(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & X2 != 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
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_f3 
fof(lit_def_031,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_f3(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_f5 
fof(lit_def_032,axiom,
    ! [X0,X1,X2] :
      ( ~ iProver_Flat_f5(X0,X1,X2)
    <=> X0 != iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_f4 
fof(lit_def_033,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_f4(X0,X1,X2)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_relative_complement_sets 
fof(lit_def_034,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_relative_complement_sets(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_1 )
        | ( X0 = iProver_Domain_i_2
          & X1 != iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != 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 iProver_Flat_f6 
fof(lit_def_035,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( iProver_Flat_f6(X0,X1,X2,X3,X4,X5)
    <=> ( ( X0 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_f7 
fof(lit_def_036,axiom,
    ! [X0,X1,X2] :
      ( ~ iProver_Flat_f7(X0,X1,X2)
    <=> ( X2 = iProver_Domain_i_1
        & X0 != iProver_Domain_i_1 ) ) ).

%------ Negative definition of iProver_Flat_f8 
fof(lit_def_037,axiom,
    ! [X0,X1,X2] :
      ( ~ iProver_Flat_f8(X0,X1,X2)
    <=> ( X2 = iProver_Domain_i_1
        & X0 != iProver_Domain_i_1 ) ) ).

%------ Negative definition of iProver_Flat_f9 
fof(lit_def_038,axiom,
    ! [X0,X1,X2] :
      ( ~ iProver_Flat_f9(X0,X1,X2)
    <=> ( X2 = iProver_Domain_i_1
        & X0 != iProver_Domain_i_1 ) ) ).

%------ Negative definition of iProver_Flat_top_of_basis 
fof(lit_def_039,axiom,
    ! [X0,X1] :
      ( ~ iProver_Flat_top_of_basis(X0,X1)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_f10 
fof(lit_def_040,axiom,
    ! [X0,X1,X2,X3] :
      ( iProver_Flat_f10(X0,X1,X2,X3)
    <=> ( ( X0 = iProver_Domain_i_1
          & ( X1 != iProver_Domain_i_1
            | X2 != iProver_Domain_i_1 )
          & X2 != 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
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_f11 
fof(lit_def_041,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_f11(X0,X1,X2)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Positive definition of iProver_Flat_subspace_topology 
fof(lit_def_042,axiom,
    ! [X0,X1,X2,X3] :
      ( iProver_Flat_subspace_topology(X0,X1,X2,X3)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_f12 
fof(lit_def_043,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( iProver_Flat_f12(X0,X1,X2,X3,X4)
    <=> ( ( X0 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_interior 
fof(lit_def_044,axiom,
    ! [X0,X1,X2,X3] :
      ( iProver_Flat_interior(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_1
            | X3 != iProver_Domain_i_1 ) )
        | ( 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_1
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_f13 
fof(lit_def_045,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iProver_Flat_f13(X0,X1,X2,X3,X4)
    <=> ( ( X0 != 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
            | X2 != iProver_Domain_i_1
            | X3 != iProver_Domain_i_1 ) )
        | ( X1 = iProver_Domain_i_1
          & X0 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_closure 
fof(lit_def_046,axiom,
    ! [X0,X1,X2,X3] :
      ( iProver_Flat_closure(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_1 )
        | ( 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_1
          & X3 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_f14 
fof(lit_def_047,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( iProver_Flat_f14(X0,X1,X2,X3,X4)
    <=> ( ( 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_1
          & ( X2 != 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
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_f15 
fof(lit_def_048,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ iProver_Flat_f15(X0,X1,X2,X3,X4,X5)
    <=> ( X2 = iProver_Domain_i_1
        & X3 = iProver_Domain_i_1
        & X0 != iProver_Domain_i_1 ) ) ).

%------ Positive definition of iProver_Flat_f16 
fof(lit_def_049,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( iProver_Flat_f16(X0,X1,X2,X3,X4)
    <=> ( ( X0 = iProver_Domain_i_1
          & X3 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X2 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X4 = iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X3 = iProver_Domain_i_1
          & X2 != iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_boundary 
fof(lit_def_050,axiom,
    ! [X0,X1,X2,X3] :
      ( iProver_Flat_boundary(X0,X1,X2,X3)
    <=> X0 = iProver_Domain_i_1 ) ).

%------ Negative definition of iProver_Flat_f17 
fof(lit_def_051,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iProver_Flat_f17(X0,X1,X2,X3,X4)
    <=> $false ) ).

%------ Negative definition of iProver_Flat_f18 
fof(lit_def_052,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iProver_Flat_f18(X0,X1,X2,X3,X4)
    <=> $false ) ).

%------ Positive definition of iProver_Flat_f19 
fof(lit_def_053,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_f19(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Positive definition of iProver_Flat_f20 
fof(lit_def_054,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_f20(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------ Negative definition of iProver_Flat_f21 
fof(lit_def_055,axiom,
    ! [X0,X1,X2] :
      ( ~ iProver_Flat_f21(X0,X1,X2)
    <=> $false ) ).

%------ Negative definition of iProver_Flat_f22 
fof(lit_def_056,axiom,
    ! [X0,X1,X2] :
      ( ~ iProver_Flat_f22(X0,X1,X2)
    <=> $false ) ).

%------ Negative definition of iProver_Flat_f23 
fof(lit_def_057,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ iProver_Flat_f23(X0,X1,X2,X3)
    <=> $false ) ).

%------ Positive definition of iProver_Flat_f24 
fof(lit_def_058,axiom,
    ! [X0,X1,X2] :
      ( iProver_Flat_f24(X0,X1,X2)
    <=> ( ( X0 = iProver_Domain_i_1
          & X1 != iProver_Domain_i_1 )
        | ( X0 = iProver_Domain_i_1
          & X1 = iProver_Domain_i_1 ) ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : TOP012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d SAT
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 23:39:03 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running model finding
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.42/1.16  % SZS status Started for theBenchmark.p
% 3.42/1.16  % SZS status Satisfiable for theBenchmark.p
% 3.42/1.16  
% 3.42/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.42/1.16  
% 3.42/1.16  ------  iProver source info
% 3.42/1.16  
% 3.42/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.42/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.42/1.16  git: non_committed_changes: false
% 3.42/1.16  git: last_make_outside_of_git: false
% 3.42/1.16  
% 3.42/1.16  ------ Parsing...successful
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.42/1.16  
% 3.42/1.16  ------ Preprocessing... gs_s  sp: 3 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.42/1.16  ------ Proving...
% 3.42/1.16  ------ Problem Properties 
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  clauses                                 106
% 3.42/1.16  conjectures                             11
% 3.42/1.16  EPR                                     26
% 3.42/1.16  Horn                                    80
% 3.42/1.16  unary                                   1
% 3.42/1.16  binary                                  46
% 3.42/1.16  lits                                    335
% 3.42/1.16  lits eq                                 0
% 3.42/1.16  fd_pure                                 0
% 3.42/1.16  fd_pseudo                               0
% 3.42/1.16  fd_cond                                 0
% 3.42/1.16  fd_pseudo_cond                          0
% 3.42/1.16  AC symbols                              0
% 3.42/1.16  
% 3.42/1.16  ------ Input Options Time Limit: Unbounded
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Finite Models:
% 3.42/1.16  
% 3.42/1.16  ------ lit_activity_flag true
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Trying domains of size >= : 1
% 3.42/1.16  
% 3.42/1.16  ------ Trying domains of size >= : 2
% 3.42/1.16  ------ 
% 3.42/1.16  Current options:
% 3.42/1.16  ------ 
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Proving...
% 3.42/1.16  
% 3.42/1.16  ------ Trying domains of size >= : 2
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Proving...
% 3.42/1.16  
% 3.42/1.16  ------ Trying domains of size >= : 2
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Proving...
% 3.42/1.16  
% 3.42/1.16  ------ Trying domains of size >= : 2
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Proving...
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  % SZS status Satisfiable for theBenchmark.p
% 3.42/1.16  
% 3.42/1.16  ------ Building Model...Done
% 3.42/1.16  
% 3.42/1.16  %------ The model is defined over ground terms (initial term algebra).
% 3.42/1.16  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 3.42/1.16  %------ where \phi is a formula over the term algebra.
% 3.42/1.16  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 3.42/1.16  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 3.42/1.16  %------ See help for --sat_out_model for different model outputs.
% 3.42/1.16  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 3.42/1.16  %------ where the first argument stands for the sort ($i in the unsorted case)
% 3.42/1.16  % SZS output start Model for theBenchmark.p
% See solution above
% 3.42/1.17  ------                               Statistics
% 3.42/1.17  
% 3.42/1.17  ------ Problem properties
% 3.42/1.17  
% 3.42/1.17  clauses:                                106
% 3.42/1.17  conjectures:                            11
% 3.42/1.17  epr:                                    26
% 3.42/1.17  horn:                                   80
% 3.42/1.17  ground:                                 10
% 3.42/1.17  unary:                                  1
% 3.42/1.17  binary:                                 46
% 3.42/1.17  lits:                                   335
% 3.42/1.17  lits_eq:                                0
% 3.42/1.17  fd_pure:                                0
% 3.42/1.17  fd_pseudo:                              0
% 3.42/1.17  fd_cond:                                0
% 3.42/1.17  fd_pseudo_cond:                         0
% 3.42/1.17  ac_symbols:                             0
% 3.42/1.17  
% 3.42/1.17  ------ General
% 3.42/1.17  
% 3.42/1.17  abstr_ref_over_cycles:                  0
% 3.42/1.17  abstr_ref_under_cycles:                 0
% 3.42/1.17  gc_basic_clause_elim:                   0
% 3.42/1.17  num_of_symbols:                         252
% 3.42/1.17  num_of_terms:                           5303
% 3.42/1.17  
% 3.42/1.17  parsing_time:                           0.007
% 3.42/1.17  unif_index_cands_time:                  0.006
% 3.42/1.17  unif_index_add_time:                    0.005
% 3.42/1.17  orderings_time:                         0.
% 3.42/1.17  out_proof_time:                         0.
% 3.42/1.17  total_time:                             0.409
% 3.42/1.17  
% 3.42/1.17  ------ Preprocessing
% 3.42/1.17  
% 3.42/1.17  num_of_splits:                          3
% 3.42/1.17  num_of_split_atoms:                     1
% 3.42/1.17  num_of_reused_defs:                     2
% 3.42/1.17  num_eq_ax_congr_red:                    0
% 3.42/1.17  num_of_sem_filtered_clauses:            0
% 3.42/1.17  num_of_subtypes:                        0
% 3.42/1.17  monotx_restored_types:                  0
% 3.42/1.17  sat_num_of_epr_types:                   0
% 3.42/1.17  sat_num_of_non_cyclic_types:            0
% 3.42/1.17  sat_guarded_non_collapsed_types:        0
% 3.42/1.17  num_pure_diseq_elim:                    0
% 3.42/1.17  simp_replaced_by:                       0
% 3.42/1.17  res_preprocessed:                       0
% 3.42/1.17  sup_preprocessed:                       0
% 3.42/1.17  prep_upred:                             0
% 3.42/1.17  prep_unflattend:                        0
% 3.42/1.17  prep_well_definedness:                  0
% 3.42/1.17  smt_new_axioms:                         0
% 3.42/1.17  pred_elim_cands:                        18
% 3.42/1.17  pred_elim:                              4
% 3.42/1.17  pred_elim_cl:                           14
% 3.42/1.17  pred_elim_cycles:                       24
% 3.42/1.17  merged_defs:                            2
% 3.42/1.17  merged_defs_ncl:                        0
% 3.42/1.17  bin_hyper_res:                          2
% 3.42/1.17  prep_cycles:                            2
% 3.42/1.17  
% 3.42/1.17  splitting_time:                         0.
% 3.42/1.17  sem_filter_time:                        0.007
% 3.42/1.17  monotx_time:                            0.
% 3.42/1.17  subtype_inf_time:                       0.
% 3.42/1.17  res_prep_time:                          0.027
% 3.42/1.17  sup_prep_time:                          0.
% 3.42/1.17  pred_elim_time:                         0.056
% 3.42/1.17  bin_hyper_res_time:                     0.001
% 3.42/1.17  prep_time_total:                        0.102
% 3.42/1.17  
% 3.42/1.17  ------ Propositional Solver
% 3.42/1.17  
% 3.42/1.17  prop_solver_calls:                      101
% 3.42/1.17  prop_fast_solver_calls:                 3186
% 3.42/1.17  smt_solver_calls:                       0
% 3.42/1.17  smt_fast_solver_calls:                  0
% 3.42/1.17  prop_num_of_clauses:                    2401
% 3.42/1.17  prop_preprocess_simplified:             10459
% 3.42/1.17  prop_fo_subsumed:                       38
% 3.42/1.17  
% 3.42/1.17  prop_solver_time:                       0.018
% 3.42/1.17  prop_fast_solver_time:                  0.003
% 3.42/1.17  prop_unsat_core_time:                   0.001
% 3.42/1.17  smt_solver_time:                        0.
% 3.42/1.17  smt_fast_solver_time:                   0.
% 3.42/1.17  
% 3.42/1.17  ------ QBF
% 3.42/1.17  
% 3.42/1.17  qbf_q_res:                              0
% 3.42/1.17  qbf_num_tautologies:                    0
% 3.42/1.17  qbf_prep_cycles:                        0
% 3.42/1.17  
% 3.42/1.17  ------ BMC1
% 3.42/1.17  
% 3.42/1.17  bmc1_current_bound:                     -1
% 3.42/1.17  bmc1_last_solved_bound:                 -1
% 3.42/1.17  bmc1_unsat_core_size:                   -1
% 3.42/1.17  bmc1_unsat_core_parents_size:           -1
% 3.42/1.17  bmc1_merge_next_fun:                    0
% 3.42/1.17  
% 3.42/1.17  bmc1_unsat_core_clauses_time:           0.
% 3.42/1.17  
% 3.42/1.17  ------ Instantiation
% 3.42/1.17  
% 3.42/1.17  inst_num_of_clauses:                    573
% 3.42/1.17  inst_num_in_passive:                    0
% 3.42/1.17  inst_num_in_active:                     1651
% 3.42/1.17  inst_num_of_loops:                      2683
% 3.42/1.17  inst_num_in_unprocessed:                0
% 3.42/1.17  inst_num_of_learning_restarts:          0
% 3.42/1.17  inst_num_moves_active_passive:          918
% 3.42/1.17  inst_lit_activity:                      0
% 3.42/1.17  inst_lit_activity_moves:                0
% 3.42/1.17  inst_num_tautologies:                   0
% 3.42/1.17  inst_num_prop_implied:                  0
% 3.42/1.17  inst_num_existing_simplified:           0
% 3.42/1.17  inst_num_eq_res_simplified:             0
% 3.42/1.17  inst_num_child_elim:                    0
% 3.42/1.17  inst_num_of_dismatching_blockings:      369
% 3.42/1.17  inst_num_of_non_proper_insts:           1901
% 3.42/1.17  inst_num_of_duplicates:                 0
% 3.42/1.17  inst_inst_num_from_inst_to_res:         0
% 3.42/1.17  
% 3.42/1.17  inst_time_sim_new:                      0.074
% 3.42/1.17  inst_time_sim_given:                    0.
% 3.42/1.17  inst_time_dismatching_checking:         0.005
% 3.42/1.17  inst_time_total:                        0.25
% 3.42/1.17  
% 3.42/1.17  ------ Resolution
% 3.42/1.17  
% 3.42/1.17  res_num_of_clauses:                     105
% 3.42/1.17  res_num_in_passive:                     0
% 3.42/1.17  res_num_in_active:                      0
% 3.42/1.17  res_num_of_loops:                       226
% 3.42/1.17  res_forward_subset_subsumed:            12
% 3.42/1.17  res_backward_subset_subsumed:           2
% 3.42/1.17  res_forward_subsumed:                   6
% 3.42/1.17  res_backward_subsumed:                  0
% 3.42/1.17  res_forward_subsumption_resolution:     9
% 3.42/1.17  res_backward_subsumption_resolution:    2
% 3.42/1.17  res_clause_to_clause_subsumption:       534
% 3.42/1.17  res_subs_bck_cnt:                       3
% 3.42/1.17  res_orphan_elimination:                 0
% 3.42/1.17  res_tautology_del:                      406
% 3.42/1.17  res_num_eq_res_simplified:              0
% 3.42/1.17  res_num_sel_changes:                    0
% 3.42/1.17  res_moves_from_active_to_pass:          0
% 3.42/1.17  
% 3.42/1.17  res_time_sim_new:                       0.004
% 3.42/1.17  res_time_sim_fw_given:                  0.012
% 3.42/1.17  res_time_sim_bw_given:                  0.007
% 3.42/1.17  res_time_total:                         0.004
% 3.42/1.17  
% 3.42/1.17  ------ Superposition
% 3.42/1.17  
% 3.42/1.17  sup_num_of_clauses:                     undef
% 3.42/1.17  sup_num_in_active:                      undef
% 3.42/1.17  sup_num_in_passive:                     undef
% 3.42/1.17  sup_num_of_loops:                       0
% 3.42/1.17  sup_fw_superposition:                   0
% 3.42/1.17  sup_bw_superposition:                   0
% 3.42/1.17  sup_eq_factoring:                       0
% 3.42/1.17  sup_eq_resolution:                      0
% 3.42/1.17  sup_immediate_simplified:               0
% 3.42/1.17  sup_given_eliminated:                   0
% 3.42/1.17  comparisons_done:                       0
% 3.42/1.17  comparisons_avoided:                    0
% 3.42/1.17  comparisons_inc_criteria:               0
% 3.42/1.17  sup_deep_cl_discarded:                  0
% 3.42/1.17  sup_num_of_deepenings:                  0
% 3.42/1.17  sup_num_of_restarts:                    0
% 3.42/1.17  
% 3.42/1.17  sup_time_generating:                    0.
% 3.42/1.17  sup_time_sim_fw_full:                   0.
% 3.42/1.17  sup_time_sim_bw_full:                   0.
% 3.42/1.17  sup_time_sim_fw_immed:                  0.
% 3.42/1.17  sup_time_sim_bw_immed:                  0.
% 3.42/1.17  sup_time_prep_sim_fw_input:             0.
% 3.42/1.17  sup_time_prep_sim_bw_input:             0.
% 3.42/1.17  sup_time_total:                         0.
% 3.42/1.17  
% 3.42/1.17  ------ Simplifications
% 3.42/1.17  
% 3.42/1.17  sim_repeated:                           0
% 3.42/1.17  sim_fw_subset_subsumed:                 0
% 3.42/1.17  sim_bw_subset_subsumed:                 0
% 3.42/1.17  sim_fw_subsumed:                        0
% 3.42/1.17  sim_bw_subsumed:                        0
% 3.42/1.17  sim_fw_subsumption_res:                 0
% 3.42/1.17  sim_bw_subsumption_res:                 0
% 3.42/1.17  sim_fw_unit_subs:                       0
% 3.42/1.17  sim_bw_unit_subs:                       0
% 3.42/1.17  sim_tautology_del:                      0
% 3.42/1.17  sim_eq_tautology_del:                   0
% 3.42/1.17  sim_eq_res_simp:                        0
% 3.42/1.17  sim_fw_demodulated:                     0
% 3.42/1.17  sim_bw_demodulated:                     0
% 3.42/1.17  sim_encompassment_demod:                0
% 3.42/1.17  sim_light_normalised:                   0
% 3.42/1.17  sim_ac_normalised:                      0
% 3.42/1.17  sim_joinable_taut:                      0
% 3.42/1.17  sim_joinable_simp:                      0
% 3.42/1.17  sim_fw_ac_demod:                        0
% 3.42/1.17  sim_bw_ac_demod:                        0
% 3.42/1.17  sim_smt_subsumption:                    0
% 3.42/1.17  sim_smt_simplified:                     0
% 3.42/1.17  sim_ground_joinable:                    0
% 3.42/1.17  sim_bw_ground_joinable:                 0
% 3.42/1.17  sim_connectedness:                      0
% 3.42/1.17  
% 3.42/1.17  sim_time_fw_subset_subs:                0.
% 3.42/1.17  sim_time_bw_subset_subs:                0.
% 3.42/1.17  sim_time_fw_subs:                       0.
% 3.42/1.17  sim_time_bw_subs:                       0.
% 3.42/1.17  sim_time_fw_subs_res:                   0.
% 3.42/1.17  sim_time_bw_subs_res:                   0.
% 3.42/1.17  sim_time_fw_unit_subs:                  0.
% 3.42/1.17  sim_time_bw_unit_subs:                  0.
% 3.42/1.17  sim_time_tautology_del:                 0.
% 3.42/1.17  sim_time_eq_tautology_del:              0.
% 3.42/1.17  sim_time_eq_res_simp:                   0.
% 3.42/1.17  sim_time_fw_demod:                      0.
% 3.42/1.17  sim_time_bw_demod:                      0.
% 3.42/1.17  sim_time_light_norm:                    0.
% 3.42/1.17  sim_time_joinable:                      0.
% 3.42/1.17  sim_time_ac_norm:                       0.
% 3.42/1.17  sim_time_fw_ac_demod:                   0.
% 3.42/1.17  sim_time_bw_ac_demod:                   0.
% 3.42/1.17  sim_time_smt_subs:                      0.
% 3.42/1.17  sim_time_fw_gjoin:                      0.
% 3.42/1.17  sim_time_fw_connected:                  0.
% 3.42/1.17  
% 3.42/1.17  
%------------------------------------------------------------------------------