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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:32:34 PM UTC 2026

% Result   : Theorem 0.92s 0.63s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  190 (  39 unt;   0 typ;  14 def)
%            Number of atoms       :  462 ( 275 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  510 ( 238   ~; 230   |;  22   &)
%                                         (  14 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  14 usr;  15 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-1 aty)
%            Number of variables   :   46 (   0 sgn  46   !;   0   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    knowheyan: $tType ).

tff(type_def_6,type,
    place: $tType ).

tff(type_def_7,type,
    entry: $tType ).

tff(func_def_0,type,
    entry_of: knowheyan > entry ).

tff(func_def_1,type,
    place_of: knowheyan > place ).

tff(func_def_2,type,
    a: knowheyan ).

tff(func_def_3,type,
    b: knowheyan ).

tff(func_def_4,type,
    c: knowheyan ).

tff(func_def_5,type,
    d: knowheyan ).

tff(func_def_6,type,
    collage_painting: entry ).

tff(func_def_7,type,
    holography: entry ).

tff(func_def_8,type,
    laser_etching: entry ).

tff(func_def_9,type,
    reconstituted_materials_sculpture: entry ).

tff(func_def_10,type,
    first: place ).

tff(func_def_11,type,
    second: place ).

tff(func_def_12,type,
    third: place ).

tff(func_def_13,type,
    fourth: place ).

tff(f1,axiom,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).

tff(f2,axiom,
    a != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).

tff(f3,axiom,
    a != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_d) ).

tff(f4,axiom,
    b != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).

tff(f5,axiom,
    b != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_d) ).

tff(f6,axiom,
    c != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).

tff(f20,axiom,
    ! [X0: entry] :
      ( ( X0 = collage_painting )
      | ( X0 = holography )
      | ( X0 = laser_etching )
      | ( X0 = reconstituted_materials_sculpture ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_entries) ).

tff(f21,axiom,
    ! [X0: place] :
      ( ( X0 = first )
      | ( X0 = second )
      | ( X0 = third )
      | ( X0 = fourth ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_places) ).

tff(f22,axiom,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( X0 != X1 )
     => ( entry_of(X0) != entry_of(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_entrys) ).

tff(f23,axiom,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( X0 != X1 )
     => ( place_of(X0) != place_of(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_places) ).

tff(f24,axiom,
    ( ( place_of(a) != first )
    & ( entry_of(a) != holography ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_info) ).

tff(f25,axiom,
    ! [X0: knowheyan] :
      ( ( place_of(X0) = fourth )
     => ( ( entry_of(X0) != reconstituted_materials_sculpture )
        & ( entry_of(X0) != holography ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info) ).

tff(f26,axiom,
    ! [X0: knowheyan] :
      ( ( entry_of(X0) = collage_painting )
     => ( ( X0 != a )
        & ( X0 != c )
        & ( place_of(X0) != first )
        & ( place_of(X0) != second ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_info) ).

tff(f27,axiom,
    ( ( place_of(b) != fourth )
    & ! [X0: knowheyan] :
        ( ( entry_of(X0) = laser_etching )
       => ( place_of(X0) != fourth ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info2) ).

tff(f28,axiom,
    ( ( place_of(b) != third )
    & ( place_of(c) != third ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_info) ).

tff(f29,axiom,
    ( ( entry_of(b) != laser_etching )
    & ! [X0: knowheyan] :
        ( ( entry_of(X0) = laser_etching )
       => ( ( X0 != a )
          & ( place_of(X0) != second ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',laser_etching_info) ).

tff(f30,conjecture,
    ( ( place_of(a) = third )
    & ( place_of(b) = second )
    & ( place_of(c) = first )
    & ( place_of(d) = fourth ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',places) ).

tff(f31,negated_conjecture,
    ~ ( ( place_of(a) = third )
      & ( place_of(b) = second )
      & ( place_of(c) = first )
      & ( place_of(d) = fourth ) ),
    inference(negated_conjecture,[status(cth)],[f30]) ).

tff(f32,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( entry_of(X0) != entry_of(X1) )
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f22]) ).

tff(f33,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( place_of(X0) != place_of(X1) )
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f23]) ).

tff(f34,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of(X0) != reconstituted_materials_sculpture )
        & ( entry_of(X0) != holography ) )
      | ( fourth != place_of(X0) ) ),
    inference(ennf_transformation,[],[f25]) ).

tff(f35,plain,
    ! [X0: knowheyan] :
      ( ( ( X0 != a )
        & ( X0 != c )
        & ( place_of(X0) != first )
        & ( place_of(X0) != second ) )
      | ( collage_painting != entry_of(X0) ) ),
    inference(ennf_transformation,[],[f26]) ).

tff(f36,plain,
    ( ( place_of(b) != fourth )
    & ! [X0: knowheyan] :
        ( ( place_of(X0) != fourth )
        | ( laser_etching != entry_of(X0) ) ) ),
    inference(ennf_transformation,[],[f27]) ).

tff(f37,plain,
    ( ( entry_of(b) != laser_etching )
    & ! [X0: knowheyan] :
        ( ( ( X0 != a )
          & ( place_of(X0) != second ) )
        | ( laser_etching != entry_of(X0) ) ) ),
    inference(ennf_transformation,[],[f29]) ).

tff(f38,plain,
    ( ( third != place_of(a) )
    | ( second != place_of(b) )
    | ( first != place_of(c) )
    | ( fourth != place_of(d) ) ),
    inference(ennf_transformation,[],[f31]) ).

tff(f39,plain,
    a != b,
    inference(cnf_transformation,[],[f1]) ).

tff(f40,plain,
    a != c,
    inference(cnf_transformation,[],[f2]) ).

tff(f41,plain,
    a != d,
    inference(cnf_transformation,[],[f3]) ).

tff(f42,plain,
    b != c,
    inference(cnf_transformation,[],[f4]) ).

tff(f43,plain,
    b != d,
    inference(cnf_transformation,[],[f5]) ).

tff(f44,plain,
    c != d,
    inference(cnf_transformation,[],[f6]) ).

tff(f58,plain,
    ! [X0: entry] :
      ( ( laser_etching = X0 )
      | ( reconstituted_materials_sculpture = X0 )
      | ( holography = X0 )
      | ( collage_painting = X0 ) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f59,plain,
    ! [X0: place] :
      ( ( fourth = X0 )
      | ( third = X0 )
      | ( second = X0 )
      | ( first = X0 ) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f60,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( entry_of(X0) != entry_of(X1) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f61,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( place_of(X0) != place_of(X1) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f62,plain,
    holography != entry_of(a),
    inference(cnf_transformation,[],[f24]) ).

tff(f63,plain,
    first != place_of(a),
    inference(cnf_transformation,[],[f24]) ).

tff(f65,plain,
    ! [X0: knowheyan] :
      ( ( fourth != place_of(X0) )
      | ( reconstituted_materials_sculpture != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f34]) ).

tff(f66,plain,
    ! [X0: knowheyan] :
      ( ( second != place_of(X0) )
      | ( collage_painting != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f67,plain,
    ! [X0: knowheyan] :
      ( ( first != place_of(X0) )
      | ( collage_painting != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f68,plain,
    ! [X0: knowheyan] :
      ( ( collage_painting != entry_of(X0) )
      | ( c != X0 ) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f69,plain,
    ! [X0: knowheyan] :
      ( ( collage_painting != entry_of(X0) )
      | ( a != X0 ) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f70,plain,
    ! [X0: knowheyan] :
      ( ( fourth != place_of(X0) )
      | ( laser_etching != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f71,plain,
    fourth != place_of(b),
    inference(cnf_transformation,[],[f36]) ).

tff(f72,plain,
    third != place_of(c),
    inference(cnf_transformation,[],[f28]) ).

tff(f73,plain,
    third != place_of(b),
    inference(cnf_transformation,[],[f28]) ).

tff(f74,plain,
    ! [X0: knowheyan] :
      ( ( second != place_of(X0) )
      | ( laser_etching != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f75,plain,
    ! [X0: knowheyan] :
      ( ( laser_etching != entry_of(X0) )
      | ( a != X0 ) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f76,plain,
    laser_etching != entry_of(b),
    inference(cnf_transformation,[],[f37]) ).

tff(f77,plain,
    ( ( fourth != place_of(d) )
    | ( first != place_of(c) )
    | ( second != place_of(b) )
    | ( third != place_of(a) ) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f78,plain,
    collage_painting != entry_of(a),
    inference(equality_resolution,[],[f69]) ).

tff(f79,plain,
    collage_painting != entry_of(c),
    inference(equality_resolution,[],[f68]) ).

tff(f80,plain,
    laser_etching != entry_of(a),
    inference(equality_resolution,[],[f75]) ).

tff(f82,definition,
    ( spl0_1
  <=> ( third = place_of(a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

tff(f83,plain,
    ( ( third = place_of(a) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f82]) ).

tff(f86,definition,
    ( spl0_2
  <=> ( second = place_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

tff(f87,plain,
    ( ( second = place_of(b) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f86]) ).

tff(f90,definition,
    ( spl0_3
  <=> ( first = place_of(c) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

tff(f91,plain,
    ( ( first = place_of(c) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f90]) ).

tff(f94,definition,
    ( spl0_4
  <=> ( fourth = place_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

tff(f96,plain,
    ( ( fourth != place_of(d) )
    | spl0_4 ),
    inference(avatar_component_clause,[],[f94]) ).

tff(f97,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f77,f94,f90,f86,f82]) ).

tff(f119,plain,
    ! [X0: knowheyan] :
      ( ( fourth != fourth )
      | ( reconstituted_materials_sculpture != entry_of(X0) )
      | ( third = place_of(X0) )
      | ( second = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(superposition,[],[f65,f59]) ).

tff(f122,plain,
    ! [X0: knowheyan] :
      ( ( fourth != fourth )
      | ( laser_etching != entry_of(X0) )
      | ( third = place_of(X0) )
      | ( second = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(superposition,[],[f70,f59]) ).

tff(f127,plain,
    ( ( fourth != fourth )
    | ( third = place_of(b) )
    | ( second = place_of(b) )
    | ( first = place_of(b) ) ),
    inference(superposition,[],[f71,f59]) ).

tff(f133,plain,
    ( ( third = place_of(b) )
    | ( second = place_of(b) )
    | ( first = place_of(b) ) ),
    inference(trivial_inequality_removal,[],[f127]) ).

tff(f134,plain,
    ! [X0: knowheyan] :
      ( ( laser_etching != entry_of(X0) )
      | ( third = place_of(X0) )
      | ( second = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(trivial_inequality_removal,[],[f122]) ).

tff(f135,plain,
    ! [X0: knowheyan] :
      ( ( reconstituted_materials_sculpture != entry_of(X0) )
      | ( third = place_of(X0) )
      | ( second = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(trivial_inequality_removal,[],[f119]) ).

tff(f137,plain,
    ( ( second = place_of(b) )
    | ( first = place_of(b) ) ),
    inference(forward_subsumption_resolution,[],[f133,f73]) ).

tff(f138,plain,
    ! [X0: knowheyan] :
      ( ( laser_etching != entry_of(X0) )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(forward_subsumption_resolution,[],[f134,f74]) ).

tff(f140,definition,
    ( spl0_5
  <=> ( first = place_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

tff(f142,plain,
    ( ( first = place_of(b) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f140]) ).

tff(f143,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f137,f86,f140]) ).

tff(f148,plain,
    ( ! [X0: knowheyan] :
        ( ( second != place_of(X0) )
        | ( b = X0 ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f87]) ).

tff(f151,plain,
    ( ( second != second )
    | ( collage_painting != entry_of(b) )
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f87]) ).

tff(f156,plain,
    ( ( collage_painting != entry_of(b) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f151]) ).

tff(f157,plain,
    ( ( fourth != fourth )
    | ( third = place_of(d) )
    | ( second = place_of(d) )
    | ( first = place_of(d) )
    | spl0_4 ),
    inference(superposition,[],[f96,f59]) ).

tff(f158,plain,
    ( ( third = place_of(d) )
    | ( second = place_of(d) )
    | ( first = place_of(d) )
    | spl0_4 ),
    inference(trivial_inequality_removal,[],[f157]) ).

tff(f160,definition,
    ( spl0_6
  <=> ( first = place_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

tff(f162,plain,
    ( ( first = place_of(d) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f160]) ).

tff(f164,definition,
    ( spl0_7
  <=> ( second = place_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

tff(f166,plain,
    ( ( second = place_of(d) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f164]) ).

tff(f168,definition,
    ( spl0_8
  <=> ( third = place_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

tff(f170,plain,
    ( ( third = place_of(d) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f168]) ).

tff(f171,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f158,f94,f168,f164,f160]) ).

tff(f175,plain,
    ( ! [X0: knowheyan] :
        ( ( first != place_of(X0) )
        | ( d = X0 ) )
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f162]) ).

tff(f195,plain,
    ! [X0: knowheyan] :
      ( ( laser_etching != laser_etching )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) )
      | ( reconstituted_materials_sculpture = entry_of(X0) )
      | ( holography = entry_of(X0) )
      | ( collage_painting = entry_of(X0) ) ),
    inference(superposition,[],[f138,f58]) ).

tff(f198,plain,
    ( ( laser_etching != laser_etching )
    | ( reconstituted_materials_sculpture = entry_of(a) )
    | ( holography = entry_of(a) )
    | ( collage_painting = entry_of(a) ) ),
    inference(superposition,[],[f80,f58]) ).

tff(f202,plain,
    ( ( laser_etching != laser_etching )
    | ( reconstituted_materials_sculpture = entry_of(b) )
    | ( holography = entry_of(b) )
    | ( collage_painting = entry_of(b) ) ),
    inference(superposition,[],[f76,f58]) ).

tff(f208,plain,
    ( ( reconstituted_materials_sculpture = entry_of(b) )
    | ( holography = entry_of(b) )
    | ( collage_painting = entry_of(b) ) ),
    inference(trivial_inequality_removal,[],[f202]) ).

tff(f209,plain,
    ( ( reconstituted_materials_sculpture = entry_of(a) )
    | ( holography = entry_of(a) )
    | ( collage_painting = entry_of(a) ) ),
    inference(trivial_inequality_removal,[],[f198]) ).

tff(f210,plain,
    ! [X0: knowheyan] :
      ( ( third = place_of(X0) )
      | ( first = place_of(X0) )
      | ( reconstituted_materials_sculpture = entry_of(X0) )
      | ( holography = entry_of(X0) )
      | ( collage_painting = entry_of(X0) ) ),
    inference(trivial_inequality_removal,[],[f195]) ).

tff(f211,plain,
    ( ( reconstituted_materials_sculpture = entry_of(b) )
    | ( holography = entry_of(b) )
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f208,f156]) ).

tff(f212,plain,
    ( ( reconstituted_materials_sculpture = entry_of(a) )
    | ( collage_painting = entry_of(a) ) ),
    inference(forward_subsumption_resolution,[],[f209,f62]) ).

tff(f214,definition,
    ( spl0_9
  <=> ( holography = entry_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

tff(f216,plain,
    ( ( holography = entry_of(b) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f214]) ).

tff(f218,definition,
    ( spl0_10
  <=> ( reconstituted_materials_sculpture = entry_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

tff(f220,plain,
    ( ( reconstituted_materials_sculpture = entry_of(b) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f218]) ).

tff(f221,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f211,f86,f218,f214]) ).

tff(f222,plain,
    reconstituted_materials_sculpture = entry_of(a),
    inference(forward_subsumption_resolution,[],[f212,f78]) ).

tff(f230,plain,
    ! [X0: knowheyan] :
      ( ( reconstituted_materials_sculpture != entry_of(X0) )
      | ( a = X0 ) ),
    inference(superposition,[],[f60,f222]) ).

tff(f266,plain,
    ( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
    | ( third = place_of(a) )
    | ( second = place_of(a) )
    | ( first = place_of(a) ) ),
    inference(superposition,[],[f135,f222]) ).

tff(f271,plain,
    ( ( third = place_of(a) )
    | ( second = place_of(a) )
    | ( first = place_of(a) ) ),
    inference(trivial_inequality_removal,[],[f266]) ).

tff(f273,plain,
    ( ( third = place_of(a) )
    | ( second = place_of(a) ) ),
    inference(forward_subsumption_resolution,[],[f271,f63]) ).

tff(f276,definition,
    ( spl0_11
  <=> ( second = place_of(a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

tff(f278,plain,
    ( ( second = place_of(a) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f276]) ).

tff(f279,plain,
    ( spl0_11
    | spl0_1 ),
    inference(avatar_split_clause,[],[f273,f82,f276]) ).

tff(f284,plain,
    ( ! [X0: knowheyan] :
        ( ( third != place_of(X0) )
        | ( a = X0 ) )
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f83]) ).

tff(f334,plain,
    ( ( third != third )
    | ( first = place_of(c) )
    | ( reconstituted_materials_sculpture = entry_of(c) )
    | ( holography = entry_of(c) )
    | ( collage_painting = entry_of(c) ) ),
    inference(superposition,[],[f72,f210]) ).

tff(f338,plain,
    ( ( first = place_of(c) )
    | ( reconstituted_materials_sculpture = entry_of(c) )
    | ( holography = entry_of(c) )
    | ( collage_painting = entry_of(c) ) ),
    inference(trivial_inequality_removal,[],[f334]) ).

tff(f341,plain,
    ( ( first = place_of(c) )
    | ( reconstituted_materials_sculpture = entry_of(c) )
    | ( holography = entry_of(c) ) ),
    inference(forward_subsumption_resolution,[],[f338,f79]) ).

tff(f344,definition,
    ( spl0_12
  <=> ( holography = entry_of(c) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

tff(f346,plain,
    ( ( holography = entry_of(c) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f344]) ).

tff(f348,definition,
    ( spl0_13
  <=> ( reconstituted_materials_sculpture = entry_of(c) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

tff(f350,plain,
    ( ( reconstituted_materials_sculpture = entry_of(c) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f348]) ).

tff(f351,plain,
    ( spl0_12
    | spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f341,f90,f348,f344]) ).

tff(f365,plain,
    ( ( first != first )
    | ( c = d )
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f175,f91]) ).

tff(f367,plain,
    ( ( c = d )
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f365]) ).

tff(f369,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f367,f44]) ).

tff(f370,plain,
    ( ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f369]) ).

tff(f386,plain,
    ( ( third != third )
    | ( a = d )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f284,f170]) ).

tff(f387,plain,
    ( ( a = d )
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f386]) ).

tff(f388,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f387,f41]) ).

tff(f389,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f388]) ).

tff(f404,plain,
    ( ( second != second )
    | ( b = d )
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f148,f166]) ).

tff(f407,plain,
    ( ( b = d )
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f404]) ).

tff(f411,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f407,f43]) ).

tff(f412,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f411]) ).

tff(f429,definition,
    ( spl0_16
  <=> ( collage_painting = entry_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

tff(f431,plain,
    ( ( collage_painting = entry_of(b) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f429]) ).

tff(f432,plain,
    ( spl0_16
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f208,f218,f214,f429]) ).

tff(f468,plain,
    ( ( first != first )
    | ( collage_painting != entry_of(b) )
    | ~ spl0_5 ),
    inference(superposition,[],[f67,f142]) ).

tff(f473,plain,
    ( ( collage_painting != entry_of(b) )
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f468]) ).

tff(f474,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f473,f431]) ).

tff(f475,plain,
    ( ~ spl0_5
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

tff(f486,plain,
    ( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
    | ( a = b )
    | ~ spl0_10 ),
    inference(superposition,[],[f230,f220]) ).

tff(f490,plain,
    ( ( a = b )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f486]) ).

tff(f492,plain,
    ( $false
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f490,f39]) ).

tff(f493,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f492]) ).

tff(f500,plain,
    ( ! [X0: knowheyan] :
        ( ( holography != entry_of(X0) )
        | ( b = X0 ) )
    | ~ spl0_9 ),
    inference(superposition,[],[f60,f216]) ).

tff(f540,plain,
    ( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
    | ( a = c )
    | ~ spl0_13 ),
    inference(superposition,[],[f230,f350]) ).

tff(f545,plain,
    ( ( a = c )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f540]) ).

tff(f547,plain,
    ( $false
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f545,f40]) ).

tff(f548,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f547]) ).

tff(f566,plain,
    ( ( holography != holography )
    | ( b = c )
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f500,f346]) ).

tff(f567,plain,
    ( ( b = c )
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f566]) ).

tff(f570,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f567,f42]) ).

tff(f571,plain,
    ( ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f570]) ).

tff(f578,plain,
    ( ! [X0: knowheyan] :
        ( ( first != place_of(X0) )
        | ( c = X0 ) )
    | ~ spl0_3 ),
    inference(superposition,[],[f61,f91]) ).

tff(f590,plain,
    ( ( first != first )
    | ( b = c )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f578,f142]) ).

tff(f593,plain,
    ( ( b = c )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f590]) ).

tff(f594,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f593,f42]) ).

tff(f595,plain,
    ( ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f594]) ).

tff(f603,plain,
    ( ! [X0: knowheyan] :
        ( ( second != place_of(X0) )
        | ( b = X0 ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f87]) ).

tff(f618,plain,
    ( ( second != second )
    | ( a = b )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f603,f278]) ).

tff(f622,plain,
    ( ( a = b )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f618]) ).

tff(f623,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f622,f39]) ).

tff(f624,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f623]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f97]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f143]) ).

cnf(s3,plain,
    ( spl0_4
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f171]) ).

cnf(s4,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f221]) ).

cnf(s5,plain,
    ( spl0_1
    | spl0_11 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s9,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s12,plain,
    ( spl0_9
    | spl0_10
    | spl0_16 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s13,plain,
    ( ~ spl0_5
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s14,plain,
    ~ spl0_10,
    inference(sat_conversion,[],[f493]) ).

cnf(s15,plain,
    ~ spl0_13,
    inference(sat_conversion,[],[f548]) ).

cnf(s17,plain,
    ( ~ spl0_9
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s20,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s21,plain,
    ( spl0_9
    | spl0_16 ),
    inference(rat,[],[s12,s14]) ).

cnf(s22,plain,
    ( spl0_3
    | spl0_12 ),
    inference(rat,[],[s6,s15]) ).

cnf(s23,plain,
    ( ~ spl0_2
    | spl0_9 ),
    inference(rat,[],[s4,s14]) ).

cnf(s24,plain,
    ~ spl0_5,
    inference(rat,[],[s17,s21,s22,s13,s19]) ).

cnf(s25,plain,
    spl0_2,
    inference(rat,[],[s2,s24]) ).

cnf(s26,plain,
    ~ spl0_11,
    inference(rat,[],[s20,s25]) ).

cnf(s27,plain,
    ~ spl0_7,
    inference(rat,[],[s9,s25]) ).

cnf(s28,plain,
    spl0_9,
    inference(rat,[],[s23,s25]) ).

cnf(s29,plain,
    spl0_1,
    inference(rat,[],[s5,s26]) ).

cnf(s30,plain,
    ~ spl0_12,
    inference(rat,[],[s17,s28]) ).

cnf(s31,plain,
    ~ spl0_8,
    inference(rat,[],[s8,s29]) ).

cnf(s32,plain,
    spl0_3,
    inference(rat,[],[s22,s30]) ).

cnf(s33,plain,
    ~ spl0_6,
    inference(rat,[],[s7,s32]) ).

cnf(s34,plain,
    ~ spl0_4,
    inference(rat,[],[s1,s29,s25,s32]) ).

cnf(s35,plain,
    $false,
    inference(rat,[],[s3,s27,s31,s33,s34]) ).

tff(f625,plain,
    $false,
    inference(avatar_sat_refutation,[],[s35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n014.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 22:45:01 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/0.63  % (1243518)Will run a generic schedule for satisfiability detection.
% 0.92/0.63  % (1243524)% WARNING: option uhcvi not known.
% 0.92/0.63  % (1243525)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=734964615:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.92/0.63  % (1243524)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2287143247:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.92/0.63  % (1243528)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2011456667:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.92/0.63  % (1243527)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4291230939:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.92/0.63  % (1243526)dis+10_1_sil=32000:sp=arity:random_seed=3345112656:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.92/0.63  % (1243529)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1796493833:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.92/0.63  % (1243523)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4188924622_2999 on theBenchmark for (2999ds/0Mi)
% 0.92/0.63  % Detected minimum model sizes of [4,4,4]
% 0.92/0.63  % Detected maximum model sizes of [4,4,4]
% 0.92/0.63  % TRYING [4,4,4]
% 0.92/0.63  % (1243523)Cannot enumerate next child to try in an incomplete setup
% 0.92/0.63  % (1243523)Refutation not found, incomplete strategy
% 0.92/0.63  % (1243523)------------------------------
% 0.92/0.63  % (1243523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243523)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243523)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.63  % (1243523)Time elapsed: 0.002 s
% 0.92/0.63  % (1243523)Peak memory usage: 11 MB
% 0.92/0.63  % (1243523)Instructions burned: 5 (million)
% 0.92/0.63  % (1243523)------------------------------
% 0.92/0.63  % (1243523)------------------------------
% 0.92/0.63  % (1243543)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3892210431:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.92/0.63  % Detected minimum model sizes of [4]
% 0.92/0.63  % Detected maximum model sizes of [max]
% 0.92/0.63  % TRYING [4]
% 0.92/0.63  % TRYING [5]
% 0.92/0.63  % TRYING [6]
% 0.92/0.63  % TRYING [7]
% 0.92/0.63  % TRYING [8]
% 0.92/0.63  % TRYING [9]
% 0.92/0.63  % TRYING [10]
% 0.92/0.63  % TRYING [11]
% 0.92/0.63  % TRYING [12]
% 0.92/0.63  % TRYING [13]
% 0.92/0.63  % TRYING [14]
% 0.92/0.63  % TRYING [15]
% 0.92/0.63  % TRYING [16]
% 0.92/0.63  % (1243526)Instruction limit reached! 
% 0.92/0.63  % (1243526)------------------------------
% 0.92/0.63  % (1243526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243526)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243526)Termination reason: Instruction limit
% 0.92/0.63  % (1243526)Termination phase: Saturation
% 0.92/0.63  % (1243526)Time elapsed: 0.051 s
% 0.92/0.63  % (1243526)Peak memory usage: 12 MB
% 0.92/0.63  % (1243526)Instructions burned: 104 (million)
% 0.92/0.63  % TRYING [17]
% 0.92/0.63  % (1243527)Instruction limit reached! 
% 0.92/0.63  % (1243527)------------------------------
% 0.92/0.63  % (1243527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243527)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243527)Termination reason: Instruction limit
% 0.92/0.63  % (1243527)Termination phase: Saturation
% 0.92/0.63  % (1243527)Time elapsed: 0.059 s
% 0.92/0.63  % (1243527)Peak memory usage: 12 MB
% 0.92/0.63  % (1243527)Instructions burned: 117 (million)
% 0.92/0.63  % (1243528)Instruction limit reached! 
% 0.92/0.63  % (1243528)------------------------------
% 0.92/0.63  % (1243528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243528)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243528)Termination reason: Instruction limit
% 0.92/0.63  % (1243528)Termination phase: Saturation
% 0.92/0.63  % (1243528)Time elapsed: 0.062 s
% 0.92/0.63  % (1243528)Peak memory usage: 12 MB
% 0.92/0.63  % (1243528)Instructions burned: 132 (million)
% 0.92/0.63  % TRYING [18]
% 0.92/0.63  % (1243572)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=754555719:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.92/0.63  % TRYING [19]
% 0.92/0.63  % (1243578)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=978485778:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.92/0.63  % (1243581)ott-21_1_sil=16000:fs=off:random_seed=2196131471:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.92/0.63  % (1243529)Instruction limit reached! 
% 0.92/0.63  % (1243529)------------------------------
% 0.92/0.63  % (1243529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243529)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243529)Termination reason: Instruction limit
% 0.92/0.63  % (1243529)Termination phase: Saturation
% 0.92/0.63  % (1243529)Time elapsed: 0.080 s
% 0.92/0.63  % (1243529)Peak memory usage: 12 MB
% 0.92/0.63  % (1243529)Instructions burned: 160 (million)
% 0.92/0.63  % TRYING [20]
% 0.92/0.63  % TRYING [21]
% 0.92/0.63  % (1243589)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=889412134:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.92/0.63  % TRYING [22]
% 0.92/0.63  % TRYING [23]
% 0.92/0.63  % (1243543)Instruction limit reached! 
% 0.92/0.63  % (1243543)------------------------------
% 0.92/0.63  % (1243543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243543)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243543)Termination reason: Instruction limit
% 0.92/0.63  % (1243543)Termination phase: Finite model building constraint generation
% 0.92/0.63  % (1243543)Time elapsed: 0.120 s
% 0.92/0.63  % (1243543)Peak memory usage: 16 MB
% 0.92/0.63  % (1243543)Instructions burned: 718 (million)
% 0.92/0.63  % (1243572)Instruction limit reached! 
% 0.92/0.63  % (1243572)------------------------------
% 0.92/0.63  % (1243572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243572)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243572)Termination reason: Instruction limit
% 0.92/0.63  % (1243572)Termination phase: Saturation
% 0.92/0.63  % (1243572)Time elapsed: 0.064 s
% 0.92/0.63  % (1243572)Peak memory usage: 12 MB
% 0.92/0.63  % (1243572)Instructions burned: 132 (million)
% 0.92/0.63  % (1243594)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=996084902:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.92/0.63  % (1243595)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3596096295:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.92/0.63  % Detected minimum model sizes of [4,4,4]
% 0.92/0.63  % Detected maximum model sizes of [4,4,4]
% 0.92/0.63  % TRYING [4,4,4]
% 0.92/0.63  % (1243594)Cannot enumerate next child to try in an incomplete setup
% 0.92/0.63  % (1243594)Refutation not found, incomplete strategy
% 0.92/0.63  % (1243594)------------------------------
% 0.92/0.63  % (1243594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243594)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243594)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.63  % (1243594)Time elapsed: 0.004 s
% 0.92/0.63  % (1243594)Peak memory usage: 10 MB
% 0.92/0.63  % (1243594)Instructions burned: 6 (million)
% 0.92/0.63  % (1243594)------------------------------
% 0.92/0.63  % (1243594)------------------------------
% 0.92/0.63  % (1243581)Instruction limit reached! 
% 0.92/0.63  % (1243581)------------------------------
% 0.92/0.63  % (1243581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243581)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243581)Termination reason: Instruction limit
% 0.92/0.63  % (1243581)Termination phase: Saturation
% 0.92/0.63  % (1243581)Time elapsed: 0.085 s
% 0.92/0.63  % (1243581)Peak memory usage: 12 MB
% 0.92/0.63  % (1243581)Instructions burned: 180 (million)
% 0.92/0.63  % (1243598)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=755878286:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 0.92/0.63  % Detected minimum model sizes of [1,1,1]
% 0.92/0.63  % Detected maximum model sizes of [4,4,4]
% 0.92/0.63  % fmb_start_size (= 14) larger than a detected sort maximum size!
% 0.92/0.63  % (1243598)Refutation not found, incomplete strategy
% 0.92/0.63  % (1243598)------------------------------
% 0.92/0.63  % (1243598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.63  % (1243598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.63  % (1243598)CaDiCaL version: 2.1.3
% 0.92/0.63  % (1243598)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.63  % (1243598)Time elapsed: 0.002 s
% 0.92/0.63  % (1243598)Peak memory usage: 10 MB
% 0.92/0.63  % (1243598)Instructions burned: 4 (million)
% 0.92/0.63  % (1243598)------------------------------
% 0.92/0.63  % (1243598)------------------------------
% 0.92/0.63  % (1243599)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4038082139:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 0.92/0.63  % (1243599) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1243518-1243599"...
% 0.92/0.63  % (1243601)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=508382853:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 0.92/0.63  % (1243599)...printing done.
% 0.92/0.63  % (1243599)Refutation found. Thanks to Tanya!
% 0.92/0.63  % SZS status Theorem for theBenchmark
% 0.92/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 0.92/0.64  % (1243599)------------------------------
% 0.92/0.64  % (1243599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.64  % (1243599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.64  % (1243599)CaDiCaL version: 2.1.3
% 0.92/0.64  % (1243599)Termination reason: Refutation
% 0.92/0.64  % (1243599)Time elapsed: 0.015 s
% 0.92/0.64  % (1243599)Peak memory usage: 13 MB
% 0.92/0.64  % (1243599)Instructions burned: 24 (million)
% 0.92/0.64  % (1243518)Success in time 0.224 s
% 0.92/0.64  % Vampire exiting
%------------------------------------------------------------------------------