TSTP Solution File: PUZ135_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ135_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n001.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 : Wed Aug 31 18:11:25 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  155 (  37 unt;  21 typ;   0 def)
%            Number of atoms       :  298 ( 225 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  319 ( 155   ~; 128   |;  20   &)
%                                         (  11 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-1 aty)
%            Number of variables   :   28 (  28   !;   0   ?;  28   :)

% 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(func_def_14,type,
    sF0: entry ).

tff(func_def_15,type,
    sF1: entry ).

tff(func_def_16,type,
    sF2: entry ).

tff(func_def_17,type,
    sF3: entry ).

tff(f404,plain,
    $false,
    inference(avatar_sat_refutation,[],[f105,f269,f283,f297,f310,f320,f321,f353,f355,f360,f376,f402]) ).

tff(f402,plain,
    ( ~ spl4_6
    | ~ spl4_17 ),
    inference(avatar_contradiction_clause,[],[f401]) ).

tff(f401,plain,
    ( $false
    | ~ spl4_6
    | ~ spl4_17 ),
    inference(subsumption_resolution,[],[f400,f377]) ).

tff(f377,plain,
    ( ( collage_painting = entry_of(b) )
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f85,f305]) ).

tff(f305,plain,
    ( ( collage_painting = sF1 )
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f303]) ).

tff(f303,plain,
    ( spl4_17
  <=> ( collage_painting = sF1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

tff(f85,plain,
    entry_of(b) = sF1,
    introduced(function_definition,[]) ).

tff(f400,plain,
    ( ( collage_painting != entry_of(b) )
    | ~ spl4_6 ),
    inference(trivial_inequality_removal,[],[f396]) ).

tff(f396,plain,
    ( ( collage_painting != entry_of(b) )
    | ( second != second )
    | ~ spl4_6 ),
    inference(superposition,[],[f68,f182]) ).

tff(f182,plain,
    ( ( second = place_of(b) )
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f180]) ).

tff(f180,plain,
    ( spl4_6
  <=> ( second = place_of(b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

tff(f68,plain,
    ! [X0: knowheyan] :
      ( ( second != place_of(X0) )
      | ( collage_painting != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f40,plain,
    ! [X0: knowheyan] :
      ( ( ( c != X0 )
        & ( a != X0 )
        & ( second != place_of(X0) )
        & ( first != place_of(X0) ) )
      | ( collage_painting != entry_of(X0) ) ),
    inference(ennf_transformation,[],[f26]) ).

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

tff(f376,plain,
    ( spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f375,f176,f180]) ).

tff(f176,plain,
    ( spl4_5
  <=> ( first = place_of(b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

tff(f375,plain,
    ( ( first = place_of(b) )
    | ( second = place_of(b) ) ),
    inference(subsumption_resolution,[],[f374,f53]) ).

tff(f53,plain,
    third != place_of(b),
    inference(cnf_transformation,[],[f28]) ).

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

tff(f374,plain,
    ( ( second = place_of(b) )
    | ( first = place_of(b) )
    | ( third = place_of(b) ) ),
    inference(trivial_inequality_removal,[],[f373]) ).

tff(f373,plain,
    ( ( first = place_of(b) )
    | ( fourth != fourth )
    | ( third = place_of(b) )
    | ( second = place_of(b) ) ),
    inference(superposition,[],[f76,f47]) ).

tff(f47,plain,
    ! [X0: place] :
      ( ( fourth = X0 )
      | ( first = X0 )
      | ( second = X0 )
      | ( third = X0 ) ),
    inference(cnf_transformation,[],[f21]) ).

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

tff(f76,plain,
    fourth != place_of(b),
    inference(cnf_transformation,[],[f37]) ).

tff(f37,plain,
    ( ! [X0: knowheyan] :
        ( ( fourth != place_of(X0) )
        | ( laser_etching != entry_of(X0) ) )
    & ( fourth != place_of(b) ) ),
    inference(ennf_transformation,[],[f27]) ).

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

tff(f360,plain,
    ( spl4_7
    | spl4_8
    | spl4_2
    | spl4_13 ),
    inference(avatar_split_clause,[],[f359,f285,f94,f241,f237]) ).

tff(f237,plain,
    ( spl4_7
  <=> ( holography = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

tff(f241,plain,
    ( spl4_8
  <=> ( laser_etching = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

tff(f94,plain,
    ( spl4_2
  <=> ( collage_painting = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f285,plain,
    ( spl4_13
  <=> ( reconstituted_materials_sculpture = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

tff(f359,plain,
    ( ( laser_etching = sF3 )
    | ( holography = sF3 )
    | spl4_2
    | spl4_13 ),
    inference(subsumption_resolution,[],[f358,f96]) ).

tff(f96,plain,
    ( ( collage_painting != sF3 )
    | spl4_2 ),
    inference(avatar_component_clause,[],[f94]) ).

tff(f358,plain,
    ( ( holography = sF3 )
    | ( collage_painting = sF3 )
    | ( laser_etching = sF3 )
    | spl4_13 ),
    inference(trivial_inequality_removal,[],[f357]) ).

tff(f357,plain,
    ( ( laser_etching = sF3 )
    | ( holography = sF3 )
    | ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
    | ( collage_painting = sF3 )
    | spl4_13 ),
    inference(superposition,[],[f287,f55]) ).

tff(f55,plain,
    ! [X0: entry] :
      ( ( reconstituted_materials_sculpture = X0 )
      | ( collage_painting = X0 )
      | ( holography = X0 )
      | ( laser_etching = X0 ) ),
    inference(cnf_transformation,[],[f20]) ).

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

tff(f287,plain,
    ( ( reconstituted_materials_sculpture != sF3 )
    | spl4_13 ),
    inference(avatar_component_clause,[],[f285]) ).

tff(f355,plain,
    ( ~ spl4_13
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f354,f98,f285]) ).

tff(f98,plain,
    ( spl4_3
  <=> ( reconstituted_materials_sculpture = sF0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f354,plain,
    ( ( reconstituted_materials_sculpture != sF3 )
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f125,f99]) ).

tff(f99,plain,
    ( ( reconstituted_materials_sculpture = sF0 )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f98]) ).

tff(f125,plain,
    sF3 != sF0,
    inference(subsumption_resolution,[],[f124,f48]) ).

tff(f48,plain,
    a != d,
    inference(cnf_transformation,[],[f3]) ).

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

tff(f124,plain,
    ( ( a = d )
    | ( sF3 != sF0 ) ),
    inference(superposition,[],[f112,f87]) ).

tff(f87,plain,
    entry_of(d) = sF3,
    introduced(function_definition,[]) ).

tff(f112,plain,
    ! [X0: knowheyan] :
      ( ( entry_of(X0) != sF0 )
      | ( a = X0 ) ),
    inference(superposition,[],[f66,f84]) ).

tff(f84,plain,
    entry_of(a) = sF0,
    introduced(function_definition,[]) ).

tff(f66,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( entry_of(X0) != entry_of(X1) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f41]) ).

tff(f41,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( entry_of(X0) != entry_of(X1) )
      | ( X0 = X1 ) ),
    inference(rectify,[],[f36]) ).

tff(f36,plain,
    ! [X1: knowheyan,X0: knowheyan] :
      ( ( entry_of(X0) != entry_of(X1) )
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f32]) ).

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

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

tff(f353,plain,
    ( ~ spl4_8
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f352,f102,f241]) ).

tff(f102,plain,
    ( spl4_4
  <=> ( laser_etching = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f352,plain,
    ( ( laser_etching != sF3 )
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f138,f103]) ).

tff(f103,plain,
    ( ( laser_etching = sF2 )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f102]) ).

tff(f138,plain,
    sF3 != sF2,
    inference(subsumption_resolution,[],[f137,f71]) ).

tff(f71,plain,
    c != d,
    inference(cnf_transformation,[],[f6]) ).

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

tff(f137,plain,
    ( ( sF3 != sF2 )
    | ( c = d ) ),
    inference(superposition,[],[f114,f87]) ).

tff(f114,plain,
    ! [X2: knowheyan] :
      ( ( sF2 != entry_of(X2) )
      | ( c = X2 ) ),
    inference(superposition,[],[f66,f86]) ).

tff(f86,plain,
    entry_of(c) = sF2,
    introduced(function_definition,[]) ).

tff(f321,plain,
    ( ~ spl4_10
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f317,f90,f255]) ).

tff(f255,plain,
    ( spl4_10
  <=> ( holography = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

tff(f90,plain,
    ( spl4_1
  <=> ( holography = sF1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f317,plain,
    ( ( holography != sF2 )
    | ~ spl4_1 ),
    inference(backward_demodulation,[],[f132,f91]) ).

tff(f91,plain,
    ( ( holography = sF1 )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f90]) ).

tff(f132,plain,
    sF1 != sF2,
    inference(subsumption_resolution,[],[f130,f52]) ).

tff(f52,plain,
    b != c,
    inference(cnf_transformation,[],[f4]) ).

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

tff(f130,plain,
    ( ( sF1 != sF2 )
    | ( b = c ) ),
    inference(superposition,[],[f113,f86]) ).

tff(f113,plain,
    ! [X1: knowheyan] :
      ( ( entry_of(X1) != sF1 )
      | ( b = X1 ) ),
    inference(superposition,[],[f66,f85]) ).

tff(f320,plain,
    ( ~ spl4_7
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f318,f90,f237]) ).

tff(f318,plain,
    ( ( holography != sF3 )
    | ~ spl4_1 ),
    inference(backward_demodulation,[],[f133,f91]) ).

tff(f133,plain,
    sF1 != sF3,
    inference(subsumption_resolution,[],[f131,f46]) ).

tff(f46,plain,
    b != d,
    inference(cnf_transformation,[],[f5]) ).

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

tff(f131,plain,
    ( ( b = d )
    | ( sF1 != sF3 ) ),
    inference(superposition,[],[f113,f87]) ).

tff(f310,plain,
    ( spl4_17
    | ~ spl4_3
    | spl4_1 ),
    inference(avatar_split_clause,[],[f309,f90,f98,f303]) ).

tff(f309,plain,
    ( ( holography = sF1 )
    | ( reconstituted_materials_sculpture != sF0 )
    | ( collage_painting = sF1 ) ),
    inference(subsumption_resolution,[],[f218,f109]) ).

tff(f109,plain,
    laser_etching != sF1,
    inference(backward_demodulation,[],[f78,f85]) ).

tff(f78,plain,
    laser_etching != entry_of(b),
    inference(cnf_transformation,[],[f38]) ).

tff(f38,plain,
    ( ! [X0: knowheyan] :
        ( ( laser_etching != entry_of(X0) )
        | ( ( a != X0 )
          & ( second != place_of(X0) ) ) )
    & ( laser_etching != entry_of(b) ) ),
    inference(ennf_transformation,[],[f29]) ).

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

tff(f218,plain,
    ( ( laser_etching = sF1 )
    | ( collage_painting = sF1 )
    | ( reconstituted_materials_sculpture != sF0 )
    | ( holography = sF1 ) ),
    inference(superposition,[],[f127,f55]) ).

tff(f127,plain,
    sF1 != sF0,
    inference(subsumption_resolution,[],[f122,f50]) ).

tff(f50,plain,
    a != b,
    inference(cnf_transformation,[],[f1]) ).

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

tff(f122,plain,
    ( ( sF1 != sF0 )
    | ( a = b ) ),
    inference(superposition,[],[f112,f85]) ).

tff(f297,plain,
    ( ~ spl4_3
    | spl4_10
    | spl4_4 ),
    inference(avatar_split_clause,[],[f296,f102,f255,f98]) ).

tff(f296,plain,
    ( ( laser_etching = sF2 )
    | ( holography = sF2 )
    | ( reconstituted_materials_sculpture != sF0 ) ),
    inference(subsumption_resolution,[],[f222,f110]) ).

tff(f110,plain,
    collage_painting != sF2,
    inference(backward_demodulation,[],[f81,f86]) ).

tff(f81,plain,
    collage_painting != entry_of(c),
    inference(equality_resolution,[],[f70]) ).

tff(f70,plain,
    ! [X0: knowheyan] :
      ( ( c != X0 )
      | ( collage_painting != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f222,plain,
    ( ( collage_painting = sF2 )
    | ( laser_etching = sF2 )
    | ( reconstituted_materials_sculpture != sF0 )
    | ( holography = sF2 ) ),
    inference(superposition,[],[f126,f55]) ).

tff(f126,plain,
    sF2 != sF0,
    inference(subsumption_resolution,[],[f123,f51]) ).

tff(f51,plain,
    a != c,
    inference(cnf_transformation,[],[f2]) ).

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

tff(f123,plain,
    ( ( a = c )
    | ( sF2 != sF0 ) ),
    inference(superposition,[],[f112,f86]) ).

tff(f283,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f282,f98]) ).

tff(f282,plain,
    reconstituted_materials_sculpture = sF0,
    inference(subsumption_resolution,[],[f281,f107]) ).

tff(f107,plain,
    collage_painting != sF0,
    inference(backward_demodulation,[],[f82,f84]) ).

tff(f82,plain,
    collage_painting != entry_of(a),
    inference(equality_resolution,[],[f69]) ).

tff(f69,plain,
    ! [X0: knowheyan] :
      ( ( a != X0 )
      | ( collage_painting != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f281,plain,
    ( ( collage_painting = sF0 )
    | ( reconstituted_materials_sculpture = sF0 ) ),
    inference(forward_demodulation,[],[f280,f84]) ).

tff(f280,plain,
    ( ( collage_painting = entry_of(a) )
    | ( reconstituted_materials_sculpture = sF0 ) ),
    inference(subsumption_resolution,[],[f279,f108]) ).

tff(f108,plain,
    holography != sF0,
    inference(backward_demodulation,[],[f63,f84]) ).

tff(f63,plain,
    holography != entry_of(a),
    inference(cnf_transformation,[],[f24]) ).

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

tff(f279,plain,
    ( ( holography = sF0 )
    | ( reconstituted_materials_sculpture = sF0 )
    | ( collage_painting = entry_of(a) ) ),
    inference(forward_demodulation,[],[f278,f84]) ).

tff(f278,plain,
    ( ( holography = entry_of(a) )
    | ( collage_painting = entry_of(a) )
    | ( reconstituted_materials_sculpture = sF0 ) ),
    inference(subsumption_resolution,[],[f277,f106]) ).

tff(f106,plain,
    laser_etching != sF0,
    inference(backward_demodulation,[],[f83,f84]) ).

tff(f83,plain,
    laser_etching != entry_of(a),
    inference(equality_resolution,[],[f80]) ).

tff(f80,plain,
    ! [X0: knowheyan] :
      ( ( laser_etching != entry_of(X0) )
      | ( a != X0 ) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f277,plain,
    ( ( laser_etching = sF0 )
    | ( holography = entry_of(a) )
    | ( reconstituted_materials_sculpture = sF0 )
    | ( collage_painting = entry_of(a) ) ),
    inference(forward_demodulation,[],[f210,f84]) ).

tff(f210,plain,
    ( ( reconstituted_materials_sculpture = sF0 )
    | ( laser_etching = entry_of(a) )
    | ( collage_painting = entry_of(a) )
    | ( holography = entry_of(a) ) ),
    inference(superposition,[],[f84,f55]) ).

tff(f269,plain,
    ( ~ spl4_3
    | spl4_1
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f268,f176,f90,f98]) ).

tff(f268,plain,
    ( ( reconstituted_materials_sculpture != sF0 )
    | spl4_1
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f267,f109]) ).

tff(f267,plain,
    ( ( laser_etching = sF1 )
    | ( reconstituted_materials_sculpture != sF0 )
    | spl4_1
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f266,f197]) ).

tff(f197,plain,
    ( ( collage_painting != sF1 )
    | ~ spl4_5 ),
    inference(forward_demodulation,[],[f196,f85]) ).

tff(f196,plain,
    ( ( collage_painting != entry_of(b) )
    | ~ spl4_5 ),
    inference(trivial_inequality_removal,[],[f192]) ).

tff(f192,plain,
    ( ( collage_painting != entry_of(b) )
    | ( first != first )
    | ~ spl4_5 ),
    inference(superposition,[],[f67,f178]) ).

tff(f178,plain,
    ( ( first = place_of(b) )
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f176]) ).

tff(f67,plain,
    ! [X0: knowheyan] :
      ( ( first != place_of(X0) )
      | ( collage_painting != entry_of(X0) ) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f266,plain,
    ( ( reconstituted_materials_sculpture != sF0 )
    | ( laser_etching = sF1 )
    | ( collage_painting = sF1 )
    | spl4_1 ),
    inference(subsumption_resolution,[],[f218,f92]) ).

tff(f92,plain,
    ( ( holography != sF1 )
    | spl4_1 ),
    inference(avatar_component_clause,[],[f90]) ).

tff(f105,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f88,f102,f98,f94,f90]) ).

tff(f88,plain,
    ( ( laser_etching != sF2 )
    | ( reconstituted_materials_sculpture != sF0 )
    | ( collage_painting != sF3 )
    | ( holography != sF1 ) ),
    inference(definition_folding,[],[f49,f87,f86,f85,f84]) ).

tff(f49,plain,
    ( ( reconstituted_materials_sculpture != entry_of(a) )
    | ( holography != entry_of(b) )
    | ( laser_etching != entry_of(c) )
    | ( collage_painting != entry_of(d) ) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,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(f31,negated_conjecture,
    ~ ( ( holography = entry_of(b) )
      & ( collage_painting = entry_of(d) )
      & ( laser_etching = entry_of(c) )
      & ( reconstituted_materials_sculpture = entry_of(a) ) ),
    inference(negated_conjecture,[],[f30]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : PUZ135_1 : TPTP v8.1.0. Released v5.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 11:17:01 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.48  % (7519)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (7527)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49  % (7535)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.49  % (7520)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (7526)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50  % (7526)Refutation not found, incomplete strategy% (7526)------------------------------
% 0.19/0.50  % (7526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (7535)Refutation not found, incomplete strategy% (7535)------------------------------
% 0.19/0.50  % (7535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (7526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (7526)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (7526)Memory used [KB]: 5884
% 0.19/0.50  % (7526)Time elapsed: 0.099 s
% 0.19/0.50  % (7526)Instructions burned: 2 (million)
% 0.19/0.50  % (7526)------------------------------
% 0.19/0.50  % (7526)------------------------------
% 0.19/0.50  % (7528)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50  % (7535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (7535)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (7535)Memory used [KB]: 5884
% 0.19/0.50  % (7535)Time elapsed: 0.107 s
% 0.19/0.50  % (7535)Instructions burned: 1 (million)
% 0.19/0.50  % (7535)------------------------------
% 0.19/0.50  % (7535)------------------------------
% 0.19/0.50  % (7528)Refutation not found, incomplete strategy% (7528)------------------------------
% 0.19/0.50  % (7528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (7528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (7528)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (7528)Memory used [KB]: 1535
% 0.19/0.50  % (7528)Time elapsed: 0.108 s
% 0.19/0.50  % (7528)Instructions burned: 2 (million)
% 0.19/0.50  % (7528)------------------------------
% 0.19/0.50  % (7528)------------------------------
% 0.19/0.50  % (7529)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (7544)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.51  % (7527)Instruction limit reached!
% 0.19/0.51  % (7527)------------------------------
% 0.19/0.51  % (7527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7544)Refutation not found, incomplete strategy% (7544)------------------------------
% 0.19/0.51  % (7544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (7544)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (7544)Memory used [KB]: 6012
% 0.19/0.51  % (7544)Time elapsed: 0.114 s
% 0.19/0.51  % (7544)Instructions burned: 2 (million)
% 0.19/0.51  % (7544)------------------------------
% 0.19/0.51  % (7544)------------------------------
% 0.19/0.51  % (7527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (7527)Termination reason: Unknown
% 0.19/0.51  % (7527)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (7527)Memory used [KB]: 6012
% 0.19/0.51  % (7527)Time elapsed: 0.102 s
% 0.19/0.51  % (7527)Instructions burned: 7 (million)
% 0.19/0.51  % (7527)------------------------------
% 0.19/0.51  % (7527)------------------------------
% 0.19/0.51  % (7542)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (7538)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51  % (7534)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (7534)Instruction limit reached!
% 0.19/0.51  % (7534)------------------------------
% 0.19/0.51  % (7534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (7534)Termination reason: Unknown
% 0.19/0.51  % (7534)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (7534)Memory used [KB]: 1407
% 0.19/0.51  % (7534)Time elapsed: 0.003 s
% 0.19/0.51  % (7534)Instructions burned: 2 (million)
% 0.19/0.51  % (7534)------------------------------
% 0.19/0.51  % (7534)------------------------------
% 0.19/0.51  % (7542)Refutation not found, incomplete strategy% (7542)------------------------------
% 0.19/0.51  % (7542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (7542)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (7542)Memory used [KB]: 6012
% 0.19/0.51  % (7542)Time elapsed: 0.110 s
% 0.19/0.51  % (7542)Instructions burned: 3 (million)
% 0.19/0.51  % (7542)------------------------------
% 0.19/0.51  % (7542)------------------------------
% 0.19/0.51  % (7536)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.51  % (7539)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52  % (7539)Refutation not found, incomplete strategy% (7539)------------------------------
% 0.19/0.52  % (7539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7539)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (7539)Memory used [KB]: 1535
% 0.19/0.52  % (7539)Time elapsed: 0.118 s
% 0.19/0.52  % (7539)Instructions burned: 2 (million)
% 0.19/0.52  % (7539)------------------------------
% 0.19/0.52  % (7539)------------------------------
% 0.19/0.52  % (7516)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (7541)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52  % (7543)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (7540)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (7521)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (7520)Instruction limit reached!
% 0.19/0.52  % (7520)------------------------------
% 0.19/0.52  % (7520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7520)Termination reason: Unknown
% 0.19/0.52  % (7520)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (7520)Memory used [KB]: 6012
% 0.19/0.52  % (7520)Time elapsed: 0.125 s
% 0.19/0.52  % (7520)Instructions burned: 13 (million)
% 0.19/0.52  % (7520)------------------------------
% 0.19/0.52  % (7520)------------------------------
% 0.19/0.52  % (7518)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (7521)Refutation not found, incomplete strategy% (7521)------------------------------
% 0.19/0.52  % (7521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7521)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (7521)Memory used [KB]: 1407
% 0.19/0.52  % (7521)Time elapsed: 0.127 s
% 0.19/0.52  % (7521)Instructions burned: 3 (million)
% 0.19/0.52  % (7521)------------------------------
% 0.19/0.52  % (7521)------------------------------
% 0.19/0.52  % (7518)Refutation not found, incomplete strategy% (7518)------------------------------
% 0.19/0.52  % (7518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7518)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (7518)Memory used [KB]: 5884
% 0.19/0.52  % (7518)Time elapsed: 0.125 s
% 0.19/0.52  % (7518)Instructions burned: 2 (million)
% 0.19/0.52  % (7518)------------------------------
% 0.19/0.52  % (7518)------------------------------
% 0.19/0.52  % (7517)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (7517)Refutation not found, incomplete strategy% (7517)------------------------------
% 0.19/0.52  % (7517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7530)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (7530)Instruction limit reached!
% 0.19/0.52  % (7530)------------------------------
% 0.19/0.52  % (7530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7530)Termination reason: Unknown
% 0.19/0.52  % (7530)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (7530)Memory used [KB]: 5884
% 0.19/0.52  % (7530)Time elapsed: 0.002 s
% 0.19/0.52  % (7530)Instructions burned: 3 (million)
% 0.19/0.52  % (7530)------------------------------
% 0.19/0.52  % (7530)------------------------------
% 0.19/0.52  % (7533)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (7522)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (7525)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53  % (7532)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (7516)First to succeed.
% 0.19/0.53  % (7525)Refutation not found, incomplete strategy% (7525)------------------------------
% 0.19/0.53  % (7525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7532)Refutation not found, incomplete strategy% (7532)------------------------------
% 0.19/0.53  % (7532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7532)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (7532)Memory used [KB]: 6012
% 0.19/0.53  % (7532)Time elapsed: 0.140 s
% 0.19/0.53  % (7532)Instructions burned: 3 (million)
% 0.19/0.53  % (7532)------------------------------
% 0.19/0.53  % (7532)------------------------------
% 0.19/0.53  % (7516)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (7516)------------------------------
% 0.19/0.53  % (7516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7516)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (7516)Memory used [KB]: 6140
% 0.19/0.53  % (7516)Time elapsed: 0.135 s
% 0.19/0.53  % (7516)Instructions burned: 14 (million)
% 0.19/0.53  % (7516)------------------------------
% 0.19/0.53  % (7516)------------------------------
% 0.19/0.53  % (7515)Success in time 0.181 s
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