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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PUZ135_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 12:31:42 PM UTC 2026

% Result   : Theorem 3.06s 1.33s
% Output   : Refutation 3.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  225 (  42 unt;   0 typ;  17 def)
%            Number of atoms       :  570 ( 310 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  650 ( 305   ~; 300   |;  22   &)
%                                         (  17 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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  :   19 (  17 usr;  18 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-1 aty)
%            Number of variables   :   47 (   0 sgn  47   !;   0   ?;  47   :)

% 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/sandbox/benchmark/theBenchmark.p',a_not_b) ).

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

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

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

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

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

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

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

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

tff(f24,axiom,
    ( ( place_of(a) != first )
    & ( entry_of(a) != holography ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fourth_info2) ).

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

tff(f30,conjecture,
    ( ( entry_of(a) = reconstituted_materials_sculpture )
    & ( entry_of(b) = holography )
    & ( entry_of(c) = laser_etching )
    & ( entry_of(d) = collage_painting ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',entries) ).

tff(f31,negated_conjecture,
    ~ ( ( entry_of(a) = reconstituted_materials_sculpture )
      & ( entry_of(b) = holography )
      & ( entry_of(c) = laser_etching )
      & ( entry_of(d) = collage_painting ) ),
    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,
    ( ( reconstituted_materials_sculpture != entry_of(a) )
    | ( holography != entry_of(b) )
    | ( laser_etching != entry_of(c) )
    | ( collage_painting != entry_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] :
      ( ( collage_painting = X0 )
      | ( holography = X0 )
      | ( laser_etching = X0 )
      | ( reconstituted_materials_sculpture = X0 ) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f59,plain,
    ! [X0: place] :
      ( ( fourth = X0 )
      | ( second = X0 )
      | ( third = 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(f64,plain,
    ! [X0: knowheyan] :
      ( ( fourth != place_of(X0) )
      | ( holography != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f34]) ).

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

tff(f69,plain,
    ! [X0: knowheyan] :
      ( ( a != X0 )
      | ( collage_painting != entry_of(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] :
      ( ( a != X0 )
      | ( laser_etching != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f37]) ).

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

tff(f77,plain,
    ( ( reconstituted_materials_sculpture != entry_of(a) )
    | ( holography != entry_of(b) )
    | ( laser_etching != entry_of(c) )
    | ( collage_painting != entry_of(d) ) ),
    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
  <=> ( collage_painting = entry_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

tff(f84,plain,
    ( ( collage_painting != entry_of(d) )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f82]) ).

tff(f86,definition,
    ( spl0_2
  <=> ( laser_etching = entry_of(c) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

tff(f87,plain,
    ( ( laser_etching = entry_of(c) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f86]) ).

tff(f90,definition,
    ( spl0_3
  <=> ( holography = entry_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

tff(f91,plain,
    ( ( holography = entry_of(b) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f90]) ).

tff(f92,plain,
    ( ( holography != entry_of(b) )
    | spl0_3 ),
    inference(avatar_component_clause,[],[f90]) ).

tff(f94,definition,
    ( spl0_4
  <=> ( reconstituted_materials_sculpture = entry_of(a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

tff(f95,plain,
    ( ( reconstituted_materials_sculpture = entry_of(a) )
    | ~ 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(f112,plain,
    ( ( collage_painting != collage_painting )
    | ( holography = entry_of(a) )
    | ( laser_etching = entry_of(a) )
    | ( reconstituted_materials_sculpture = entry_of(a) ) ),
    inference(superposition,[],[f78,f58]) ).

tff(f115,plain,
    ( ( collage_painting != collage_painting )
    | ( holography = entry_of(c) )
    | ( laser_etching = entry_of(c) )
    | ( reconstituted_materials_sculpture = entry_of(c) ) ),
    inference(superposition,[],[f79,f58]) ).

tff(f121,plain,
    ( ( holography = entry_of(c) )
    | ( laser_etching = entry_of(c) )
    | ( reconstituted_materials_sculpture = entry_of(c) ) ),
    inference(trivial_inequality_removal,[],[f115]) ).

tff(f122,plain,
    ( ( holography = entry_of(a) )
    | ( laser_etching = entry_of(a) )
    | ( reconstituted_materials_sculpture = entry_of(a) ) ),
    inference(trivial_inequality_removal,[],[f112]) ).

tff(f124,definition,
    ( spl0_5
  <=> ( reconstituted_materials_sculpture = entry_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

tff(f125,plain,
    ( ( reconstituted_materials_sculpture != entry_of(d) )
    | spl0_5 ),
    inference(avatar_component_clause,[],[f124]) ).

tff(f126,plain,
    ( ( reconstituted_materials_sculpture = entry_of(d) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f124]) ).

tff(f128,definition,
    ( spl0_6
  <=> ( laser_etching = entry_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

tff(f130,plain,
    ( ( laser_etching = entry_of(d) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f128]) ).

tff(f132,definition,
    ( spl0_7
  <=> ( holography = entry_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

tff(f134,plain,
    ( ( holography = entry_of(d) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f132]) ).

tff(f137,definition,
    ( spl0_8
  <=> ( reconstituted_materials_sculpture = entry_of(c) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

tff(f139,plain,
    ( ( reconstituted_materials_sculpture = entry_of(c) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f137]) ).

tff(f141,definition,
    ( spl0_9
  <=> ( holography = entry_of(c) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

tff(f143,plain,
    ( ( holography = entry_of(c) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f141]) ).

tff(f144,plain,
    ( spl0_8
    | spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f121,f141,f86,f137]) ).

tff(f145,plain,
    ( ( laser_etching = entry_of(a) )
    | ( reconstituted_materials_sculpture = entry_of(a) ) ),
    inference(forward_subsumption_resolution,[],[f122,f62]) ).

tff(f146,plain,
    reconstituted_materials_sculpture = entry_of(a),
    inference(forward_subsumption_resolution,[],[f145,f80]) ).

tff(f147,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f146,f94]) ).

tff(f150,plain,
    ( ! [X0: knowheyan] :
        ( ( laser_etching != entry_of(X0) )
        | ( c = X0 ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f87]) ).

tff(f156,plain,
    ( ! [X0: knowheyan] :
        ( ( reconstituted_materials_sculpture != entry_of(X0) )
        | ( a = X0 ) )
    | ~ spl0_4 ),
    inference(superposition,[],[f60,f95]) ).

tff(f166,plain,
    ! [X0: knowheyan] :
      ( ( fourth != fourth )
      | ( holography != entry_of(X0) )
      | ( second = place_of(X0) )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(superposition,[],[f64,f59]) ).

tff(f167,plain,
    ! [X0: knowheyan] :
      ( ( fourth != fourth )
      | ( reconstituted_materials_sculpture != entry_of(X0) )
      | ( second = place_of(X0) )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(superposition,[],[f65,f59]) ).

tff(f170,plain,
    ! [X0: knowheyan] :
      ( ( fourth != fourth )
      | ( laser_etching != entry_of(X0) )
      | ( second = place_of(X0) )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(superposition,[],[f70,f59]) ).

tff(f174,plain,
    ( ( fourth != fourth )
    | ( second = place_of(b) )
    | ( third = place_of(b) )
    | ( first = place_of(b) ) ),
    inference(superposition,[],[f71,f59]) ).

tff(f179,plain,
    ( ( second = place_of(b) )
    | ( third = place_of(b) )
    | ( first = place_of(b) ) ),
    inference(trivial_inequality_removal,[],[f174]) ).

tff(f180,plain,
    ! [X0: knowheyan] :
      ( ( laser_etching != entry_of(X0) )
      | ( second = place_of(X0) )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(trivial_inequality_removal,[],[f170]) ).

tff(f181,plain,
    ! [X0: knowheyan] :
      ( ( reconstituted_materials_sculpture != entry_of(X0) )
      | ( second = place_of(X0) )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(trivial_inequality_removal,[],[f167]) ).

tff(f182,plain,
    ! [X0: knowheyan] :
      ( ( holography != entry_of(X0) )
      | ( second = place_of(X0) )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(trivial_inequality_removal,[],[f166]) ).

tff(f183,plain,
    ( ( second = place_of(b) )
    | ( first = place_of(b) ) ),
    inference(forward_subsumption_resolution,[],[f179,f73]) ).

tff(f184,plain,
    ! [X0: knowheyan] :
      ( ( laser_etching != entry_of(X0) )
      | ( third = place_of(X0) )
      | ( first = place_of(X0) ) ),
    inference(forward_subsumption_resolution,[],[f180,f74]) ).

tff(f186,definition,
    ( spl0_10
  <=> ( first = place_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

tff(f188,plain,
    ( ( first = place_of(b) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f186]) ).

tff(f190,definition,
    ( spl0_11
  <=> ( second = place_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

tff(f192,plain,
    ( ( second = place_of(b) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f190]) ).

tff(f193,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f183,f190,f186]) ).

tff(f198,plain,
    ( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
    | ( a = d )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f156,f126]) ).

tff(f200,plain,
    ( ( a = d )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f198]) ).

tff(f201,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f200,f41]) ).

tff(f202,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f201]) ).

tff(f210,plain,
    ( ( laser_etching != laser_etching )
    | ( c = d )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f150,f130]) ).

tff(f213,plain,
    ( ( c = d )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f210]) ).

tff(f214,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f213,f44]) ).

tff(f215,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f214]) ).

tff(f244,plain,
    ( ( first != first )
    | ( collage_painting != entry_of(b) )
    | ~ spl0_10 ),
    inference(superposition,[],[f67,f188]) ).

tff(f247,plain,
    ( ( collage_painting != entry_of(b) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f244]) ).

tff(f264,plain,
    ( ( laser_etching != laser_etching )
    | ( third = place_of(c) )
    | ( first = place_of(c) )
    | ~ spl0_2 ),
    inference(superposition,[],[f184,f87]) ).

tff(f267,plain,
    ( ( third = place_of(c) )
    | ( first = place_of(c) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f264]) ).

tff(f268,plain,
    ( ( first = place_of(c) )
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f267,f72]) ).

tff(f271,plain,
    ( ! [X0: knowheyan] :
        ( ( first != place_of(X0) )
        | ( c = X0 ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f268]) ).

tff(f281,plain,
    ( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
    | ( second = place_of(a) )
    | ( third = place_of(a) )
    | ( first = place_of(a) )
    | ~ spl0_4 ),
    inference(superposition,[],[f181,f95]) ).

tff(f285,plain,
    ( ( second = place_of(a) )
    | ( third = place_of(a) )
    | ( first = place_of(a) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f281]) ).

tff(f286,plain,
    ( ( second = place_of(a) )
    | ( third = place_of(a) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f285,f63]) ).

tff(f288,definition,
    ( spl0_12
  <=> ( third = place_of(a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

tff(f290,plain,
    ( ( third = place_of(a) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f288]) ).

tff(f292,definition,
    ( spl0_13
  <=> ( second = place_of(a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

tff(f294,plain,
    ( ( second = place_of(a) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f292]) ).

tff(f295,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f286,f94,f292,f288]) ).

tff(f298,plain,
    ( ! [X0: knowheyan] :
        ( ( third != place_of(X0) )
        | ( a = X0 ) )
    | ~ spl0_12 ),
    inference(superposition,[],[f61,f290]) ).

tff(f314,definition,
    ( spl0_14
  <=> ( first = place_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

tff(f316,plain,
    ( ( first = place_of(d) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f314]) ).

tff(f318,definition,
    ( spl0_15
  <=> ( third = place_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

tff(f320,plain,
    ( ( third = place_of(d) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f318]) ).

tff(f322,definition,
    ( spl0_16
  <=> ( second = place_of(d) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

tff(f324,plain,
    ( ( second = place_of(d) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f322]) ).

tff(f355,plain,
    ( ( first != first )
    | ( b = c )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f271,f188]) ).

tff(f358,plain,
    ( ( b = c )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f355]) ).

tff(f359,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f358,f42]) ).

tff(f360,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f359]) ).

tff(f370,plain,
    ( ( second != second )
    | ( collage_painting != entry_of(b) )
    | ~ spl0_11 ),
    inference(superposition,[],[f66,f192]) ).

tff(f376,plain,
    ( ( collage_painting != entry_of(b) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f370]) ).

tff(f451,plain,
    ( ( collage_painting != collage_painting )
    | ( holography = entry_of(d) )
    | ( laser_etching = entry_of(d) )
    | ( reconstituted_materials_sculpture = entry_of(d) )
    | spl0_1 ),
    inference(superposition,[],[f84,f58]) ).

tff(f452,plain,
    ( ( holography = entry_of(d) )
    | ( laser_etching = entry_of(d) )
    | ( reconstituted_materials_sculpture = entry_of(d) )
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f451]) ).

tff(f467,plain,
    ( ( holography != holography )
    | ( second = place_of(d) )
    | ( third = place_of(d) )
    | ( first = place_of(d) )
    | ~ spl0_7 ),
    inference(superposition,[],[f182,f134]) ).

tff(f469,plain,
    ( ( second = place_of(d) )
    | ( third = place_of(d) )
    | ( first = place_of(d) )
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f467]) ).

tff(f470,plain,
    ( spl0_14
    | spl0_15
    | spl0_16
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f469,f132,f322,f318,f314]) ).

tff(f478,plain,
    ( ! [X0: knowheyan] :
        ( ( second != place_of(X0) )
        | ( d = X0 ) )
    | ~ spl0_16 ),
    inference(superposition,[],[f61,f324]) ).

tff(f570,definition,
    ( spl0_17
  <=> ( reconstituted_materials_sculpture = entry_of(b) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

tff(f571,plain,
    ( ( reconstituted_materials_sculpture != entry_of(b) )
    | spl0_17 ),
    inference(avatar_component_clause,[],[f570]) ).

tff(f572,plain,
    ( ( reconstituted_materials_sculpture = entry_of(b) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f570]) ).

tff(f578,plain,
    ( ( second != second )
    | ( b = d )
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f478,f192]) ).

tff(f581,plain,
    ( ( b = d )
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f578]) ).

tff(f582,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f581,f43]) ).

tff(f583,plain,
    ( ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f582]) ).

tff(f636,plain,
    ( ( first != first )
    | ( c = d )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f271,f316]) ).

tff(f638,plain,
    ( ( c = d )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f636]) ).

tff(f640,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f638,f44]) ).

tff(f641,plain,
    ( ~ spl0_2
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f640]) ).

tff(f667,plain,
    ( ( third != third )
    | ( a = d )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f298,f320]) ).

tff(f668,plain,
    ( ( a = d )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f667]) ).

tff(f669,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f668,f41]) ).

tff(f670,plain,
    ( ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f669]) ).

tff(f682,plain,
    ( ! [X0: knowheyan] :
        ( ( second != place_of(X0) )
        | ( a = X0 ) )
    | ~ spl0_13 ),
    inference(superposition,[],[f61,f294]) ).

tff(f721,plain,
    ( ( second != second )
    | ( a = b )
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f682,f192]) ).

tff(f726,plain,
    ( ( a = b )
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f721]) ).

tff(f727,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f726,f39]) ).

tff(f728,plain,
    ( ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f727]) ).

tff(f785,plain,
    ( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
    | ( a = c )
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f156,f139]) ).

tff(f791,plain,
    ( ( a = c )
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f785]) ).

tff(f793,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f791,f40]) ).

tff(f794,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f793]) ).

tff(f797,plain,
    ( ( holography = entry_of(d) )
    | ( laser_etching = entry_of(d) )
    | spl0_1
    | spl0_5 ),
    inference(forward_subsumption_resolution,[],[f452,f125]) ).

tff(f798,plain,
    ( spl0_6
    | spl0_7
    | spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f797,f124,f82,f132,f128]) ).

tff(f923,plain,
    ( ( collage_painting != collage_painting )
    | ( holography = entry_of(b) )
    | ( laser_etching = entry_of(b) )
    | ( reconstituted_materials_sculpture = entry_of(b) )
    | ~ spl0_11 ),
    inference(superposition,[],[f376,f58]) ).

tff(f924,plain,
    ( ( holography = entry_of(b) )
    | ( laser_etching = entry_of(b) )
    | ( reconstituted_materials_sculpture = entry_of(b) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f923]) ).

tff(f936,plain,
    ( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
    | ( a = b )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(superposition,[],[f156,f572]) ).

tff(f942,plain,
    ( ( a = b )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f936]) ).

tff(f943,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f942,f39]) ).

tff(f944,plain,
    ( ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f943]) ).

tff(f949,plain,
    ( ( holography = entry_of(b) )
    | ( reconstituted_materials_sculpture = entry_of(b) )
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f924,f76]) ).

tff(f950,plain,
    ( spl0_17
    | spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f949,f190,f90,f570]) ).

tff(f956,plain,
    ( ! [X0: knowheyan] :
        ( ( holography != entry_of(X0) )
        | ( b = X0 ) )
    | ~ spl0_3 ),
    inference(superposition,[],[f60,f91]) ).

tff(f968,plain,
    ( ( holography != holography )
    | ( b = c )
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f956,f143]) ).

tff(f972,plain,
    ( ( b = c )
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f968]) ).

tff(f974,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f972,f42]) ).

tff(f975,plain,
    ( ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f974]) ).

tff(f1073,plain,
    ( ( collage_painting != collage_painting )
    | ( holography = entry_of(b) )
    | ( laser_etching = entry_of(b) )
    | ( reconstituted_materials_sculpture = entry_of(b) )
    | ~ spl0_10 ),
    inference(superposition,[],[f247,f58]) ).

tff(f1074,plain,
    ( ( holography = entry_of(b) )
    | ( laser_etching = entry_of(b) )
    | ( reconstituted_materials_sculpture = entry_of(b) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1073]) ).

tff(f1075,plain,
    ( ( laser_etching = entry_of(b) )
    | ( reconstituted_materials_sculpture = entry_of(b) )
    | spl0_3
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1074,f92]) ).

tff(f1076,plain,
    ( ( reconstituted_materials_sculpture = entry_of(b) )
    | spl0_3
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1075,f76]) ).

tff(f1077,plain,
    ( $false
    | spl0_3
    | ~ spl0_10
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1076,f571]) ).

tff(f1078,plain,
    ( spl0_3
    | ~ spl0_10
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1077]) ).

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

cnf(s3,plain,
    ( spl0_2
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f144]) ).

cnf(s4,plain,
    spl0_4,
    inference(sat_conversion,[],[f147]) ).

cnf(s5,plain,
    ( spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f193]) ).

cnf(s6,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f202]) ).

cnf(s7,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f215]) ).

cnf(s8,plain,
    ( ~ spl0_4
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s10,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s13,plain,
    ( ~ spl0_7
    | spl0_14
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s15,plain,
    ( ~ spl0_11
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s16,plain,
    ( ~ spl0_2
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s18,plain,
    ( ~ spl0_12
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s20,plain,
    ( ~ spl0_11
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s24,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s26,plain,
    ( spl0_1
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s30,plain,
    ( ~ spl0_4
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s32,plain,
    ( spl0_3
    | ~ spl0_11
    | spl0_17 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s37,plain,
    ( spl0_3
    | ~ spl0_10
    | spl0_17 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s38,plain,
    ~ spl0_17,
    inference(rat,[],[s30,s4]) ).

cnf(s39,plain,
    ~ spl0_8,
    inference(rat,[],[s24,s4]) ).

cnf(s40,plain,
    ~ spl0_5,
    inference(rat,[],[s6,s4]) ).

cnf(s41,plain,
    ( spl0_2
    | spl0_9 ),
    inference(rat,[],[s3,s39]) ).

cnf(s43,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(rat,[],[s1,s4]) ).

cnf(s44,plain,
    spl0_3,
    inference(rat,[],[s5,s32,s37,s38]) ).

cnf(s45,plain,
    ~ spl0_9,
    inference(rat,[],[s34,s44]) ).

cnf(s46,plain,
    spl0_2,
    inference(rat,[],[s41,s45]) ).

cnf(s47,plain,
    ~ spl0_14,
    inference(rat,[],[s16,s46]) ).

cnf(s48,plain,
    ~ spl0_10,
    inference(rat,[],[s10,s46]) ).

cnf(s49,plain,
    ~ spl0_6,
    inference(rat,[],[s7,s46]) ).

cnf(s50,plain,
    spl0_11,
    inference(rat,[],[s5,s48]) ).

cnf(s51,plain,
    ~ spl0_13,
    inference(rat,[],[s20,s50]) ).

cnf(s52,plain,
    ~ spl0_16,
    inference(rat,[],[s15,s50]) ).

cnf(s53,plain,
    spl0_12,
    inference(rat,[],[s8,s4,s51]) ).

cnf(s54,plain,
    ~ spl0_15,
    inference(rat,[],[s18,s53]) ).

cnf(s55,plain,
    ~ spl0_1,
    inference(rat,[],[s43,s44,s46]) ).

cnf(s56,plain,
    spl0_7,
    inference(rat,[],[s26,s55,s40,s49]) ).

cnf(s58,plain,
    $false,
    inference(rat,[],[s13,s52,s47,s54,s56]) ).

tff(f1079,plain,
    $false,
    inference(avatar_sat_refutation,[],[s58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ135_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n005.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 22:45:02 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.06/1.33  % (255993)Detected formulas, will run a generic FOF schedule.
% 3.06/1.33  % (256098)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1681768038:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.06/1.33  % (256104)dis-21_1_sil=8000:lcm=predicate:random_seed=507511098:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.06/1.33  % (256096)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2658640465:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.06/1.33  % (256100)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1398112705:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.06/1.33  % (256097)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2780786609:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.06/1.33  % (256101)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2769100973:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.06/1.33  % (256102)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1327668452:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.06/1.33  % (256104)Refutation not found, incomplete strategy
% 3.06/1.33  % (256104)------------------------------
% 3.06/1.33  % (256104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.33  % (256104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.33  % (256104)CaDiCaL version: 2.1.3
% 3.06/1.33  % (256104)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.33  % (256104)Time elapsed: 0.003 s
% 3.06/1.33  % (256104)Peak memory usage: 88 MB
% 3.06/1.33  % (256104)Instructions burned: 3 (million)
% 3.06/1.33  % (256102)First to succeed.
% 3.06/1.33  % (256102)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-255993"
% 3.06/1.33  % (256100)Instruction limit reached! 
% 3.06/1.33  % (256100)------------------------------
% 3.06/1.33  % (256100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.33  % (256100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.33  % (256100)CaDiCaL version: 2.1.3
% 3.06/1.33  % (256100)Termination reason: Instruction limit
% 3.06/1.33  % (256100)Termination phase: Saturation
% 3.06/1.33  % (256100)Time elapsed: 0.047 s
% 3.06/1.33  % (256100)Peak memory usage: 88 MB
% 3.06/1.33  % (256100)Instructions burned: 113 (million)
% 3.06/1.33  % (256101)Instruction limit reached! 
% 3.06/1.33  % (256101)------------------------------
% 3.06/1.33  % (256101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.33  % (256101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.33  % (256101)CaDiCaL version: 2.1.3
% 3.06/1.33  % (256101)Termination reason: Instruction limit
% 3.06/1.33  % (256101)Termination phase: Saturation
% 3.06/1.33  % (256101)Time elapsed: 0.053 s
% 3.06/1.33  % (256101)Peak memory usage: 87 MB
% 3.06/1.33  % (256101)Instructions burned: 119 (million)
% 3.06/1.33  % (256114)lrs+10_1_sil=32000:urr=on:br=off:random_seed=510734769:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.06/1.33  % (256113)lrs+10_1_sil=8000:sp=occurrence:random_seed=1857519468:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.06/1.33  % (256104)------------------------------
% 3.06/1.33  % (256104)------------------------------
% 3.06/1.33  % (256102)Refutation found. Thanks to Tanya!
% 3.06/1.33  % SZS status Theorem for theBenchmark
% 3.06/1.33  % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.44  % (256102)------------------------------
% 3.78/1.44  % (256102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.44  % (256102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.44  % (256102)CaDiCaL version: 2.1.3
% 3.78/1.44  % (256102)Termination reason: Refutation
% 3.78/1.44  % (256102)Time elapsed: 0.027 s
% 3.78/1.44  % (256102)Peak memory usage: 90 MB
% 3.78/1.44  % (256102)Instructions burned: 46 (million)
% 3.78/1.44  % (256102)------------------------------
% 3.78/1.44  % (256102)------------------------------
% 3.78/1.44  % (255993)Success in time 0.461 s
% 3.78/1.44  % Vampire exiting
%------------------------------------------------------------------------------