TSTP Solution File: PUZ030-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Tue Apr 30 14:44:57 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  169 (   1 unt;   0 def)
%            Number of atoms       :  393 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  401 ( 177   ~; 199   |;   0   &)
%                                         (  25 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   31 (  30 usr;  26 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f368,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f81,f82,f105,f110,f119,f128,f137,f138,f141,f147,f148,f158,f163,f164,f165,f167,f169,f170,f171,f172,f173,f174,f203,f209,f220,f234,f244,f245,f250,f257,f267,f268,f276,f280,f285,f292,f294,f315,f318,f327,f330,f339,f341,f342,f345,f348,f352,f363,f366,f367]) ).

fof(f367,plain,
    ( ~ spl0_15
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f353,f150,f107]) ).

fof(f107,plain,
    ( spl0_15
  <=> mustard(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f150,plain,
    ( spl0_23
  <=> neither(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f353,plain,
    ( ~ mustard(mill)
    | ~ spl0_23 ),
    inference(resolution,[],[f151,f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ neither(X0)
      | ~ mustard(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither3) ).

fof(f151,plain,
    ( neither(mill)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f366,plain,
    ( spl0_14
    | ~ spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f332,f45,f130,f102]) ).

fof(f102,plain,
    ( spl0_14
  <=> both(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f130,plain,
    ( spl0_20
  <=> salt(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f45,plain,
    ( spl0_1
  <=> mustard(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f332,plain,
    ( ~ salt(lang)
    | both(lang)
    | ~ spl0_1 ),
    inference(resolution,[],[f46,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ mustard(X0)
      | ~ salt(X0)
      | both(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both3) ).

fof(f46,plain,
    ( mustard(lang)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f363,plain,
    ( ~ spl0_1
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f362]) ).

fof(f362,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f358,f46]) ).

fof(f358,plain,
    ( ~ mustard(lang)
    | ~ spl0_25 ),
    inference(resolution,[],[f161,f11]) ).

fof(f161,plain,
    ( neither(lang)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl0_25
  <=> neither(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f352,plain,
    ( spl0_24
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f350,f88,f155]) ).

fof(f155,plain,
    ( spl0_24
  <=> mustard(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f88,plain,
    ( spl0_11
  <=> both(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f350,plain,
    ( mustard(dix)
    | ~ spl0_11 ),
    inference(resolution,[],[f89,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ both(X0)
      | mustard(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both2) ).

fof(f89,plain,
    ( both(dix)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f348,plain,
    ( spl0_10
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f346,f78,f84]) ).

fof(f84,plain,
    ( spl0_10
  <=> mustard(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f78,plain,
    ( spl0_9
  <=> both(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f346,plain,
    ( mustard(cole)
    | ~ spl0_9 ),
    inference(resolution,[],[f79,f2]) ).

fof(f79,plain,
    ( both(cole)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f345,plain,
    ( spl0_9
    | spl0_17
    | spl0_4 ),
    inference(avatar_split_clause,[],[f344,f57,f116,f78]) ).

fof(f116,plain,
    ( spl0_17
  <=> oneof(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f57,plain,
    ( spl0_4
  <=> neither(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f344,plain,
    ( oneof(cole)
    | both(cole)
    | spl0_4 ),
    inference(resolution,[],[f59,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( neither(X0)
      | oneof(X0)
      | both(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_condition_holds1) ).

fof(f59,plain,
    ( ~ neither(cole)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f342,plain,
    ( ~ spl0_9
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f337,f57,f78]) ).

fof(f337,plain,
    ( ~ both(cole)
    | ~ spl0_4 ),
    inference(resolution,[],[f58,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ neither(X0)
      | ~ both(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither1) ).

fof(f58,plain,
    ( neither(cole)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f341,plain,
    ( ~ spl0_4
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f340]) ).

fof(f340,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f336,f123]) ).

fof(f123,plain,
    ( salt(cole)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl0_18
  <=> salt(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f336,plain,
    ( ~ salt(cole)
    | ~ spl0_4 ),
    inference(resolution,[],[f58,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ neither(X0)
      | ~ salt(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither2) ).

fof(f339,plain,
    ( ~ spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f335,f57,f84]) ).

fof(f335,plain,
    ( ~ mustard(cole)
    | ~ spl0_4 ),
    inference(resolution,[],[f58,f11]) ).

fof(f330,plain,
    ( ~ spl0_16
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f320,f143,f112]) ).

fof(f112,plain,
    ( spl0_16
  <=> salt(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f143,plain,
    ( spl0_22
  <=> neither(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f320,plain,
    ( ~ salt(barry)
    | ~ spl0_22 ),
    inference(resolution,[],[f144,f10]) ).

fof(f144,plain,
    ( neither(barry)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f327,plain,
    ( spl0_11
    | spl0_21
    | spl0_3 ),
    inference(avatar_split_clause,[],[f296,f53,f134,f88]) ).

fof(f134,plain,
    ( spl0_21
  <=> oneof(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f53,plain,
    ( spl0_3
  <=> neither(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f296,plain,
    ( oneof(dix)
    | both(dix)
    | spl0_3 ),
    inference(resolution,[],[f55,f7]) ).

fof(f55,plain,
    ( ~ neither(dix)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f318,plain,
    ( spl0_24
    | spl0_8
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f304,f134,f74,f155]) ).

fof(f74,plain,
    ( spl0_8
  <=> salt(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f304,plain,
    ( salt(dix)
    | mustard(dix)
    | ~ spl0_21 ),
    inference(resolution,[],[f135,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ oneof(X0)
      | salt(X0)
      | mustard(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof1) ).

fof(f135,plain,
    ( oneof(dix)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f315,plain,
    ( ~ spl0_20
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f311,f132]) ).

fof(f132,plain,
    ( salt(lang)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f311,plain,
    ( ~ salt(lang)
    | ~ spl0_25 ),
    inference(resolution,[],[f161,f10]) ).

fof(f294,plain,
    ( spl0_18
    | spl0_10
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f293,f116,f84,f121]) ).

fof(f293,plain,
    ( salt(cole)
    | spl0_10
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f287,f85]) ).

fof(f85,plain,
    ( ~ mustard(cole)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f287,plain,
    ( salt(cole)
    | mustard(cole)
    | ~ spl0_17 ),
    inference(resolution,[],[f117,f4]) ).

fof(f117,plain,
    ( oneof(cole)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f292,plain,
    ( ~ spl0_7
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f290,f70]) ).

fof(f70,plain,
    ( both(barry)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_7
  <=> both(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f290,plain,
    ( ~ both(barry)
    | ~ spl0_19 ),
    inference(resolution,[],[f126,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ oneof(X0)
      | ~ both(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof2) ).

fof(f126,plain,
    ( oneof(barry)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl0_19
  <=> oneof(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f285,plain,
    ( spl0_15
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f283,f97,f107]) ).

fof(f97,plain,
    ( spl0_13
  <=> both(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f283,plain,
    ( mustard(mill)
    | ~ spl0_13 ),
    inference(resolution,[],[f98,f2]) ).

fof(f98,plain,
    ( both(mill)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f280,plain,
    ( spl0_12
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f278,f69,f93]) ).

fof(f93,plain,
    ( spl0_12
  <=> mustard(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f278,plain,
    ( mustard(barry)
    | ~ spl0_7 ),
    inference(resolution,[],[f70,f2]) ).

fof(f276,plain,
    ( spl0_20
    | spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f275,f61,f45,f130]) ).

fof(f61,plain,
    ( spl0_5
  <=> oneof(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f275,plain,
    ( salt(lang)
    | spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f273,f47]) ).

fof(f47,plain,
    ( ~ mustard(lang)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f273,plain,
    ( salt(lang)
    | mustard(lang)
    | ~ spl0_5 ),
    inference(resolution,[],[f62,f4]) ).

fof(f62,plain,
    ( oneof(lang)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f268,plain,
    ( ~ spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f264,f53,f74]) ).

fof(f264,plain,
    ( ~ salt(dix)
    | ~ spl0_3 ),
    inference(resolution,[],[f54,f10]) ).

fof(f54,plain,
    ( neither(dix)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f267,plain,
    ( ~ spl0_24
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f263,f53,f155]) ).

fof(f263,plain,
    ( ~ mustard(dix)
    | ~ spl0_3 ),
    inference(resolution,[],[f54,f11]) ).

fof(f257,plain,
    ( spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f237,f88,f74]) ).

fof(f237,plain,
    ( salt(dix)
    | ~ spl0_11 ),
    inference(resolution,[],[f89,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ both(X0)
      | salt(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both1) ).

fof(f250,plain,
    ( spl0_20
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f249,f102,f130]) ).

fof(f249,plain,
    ( salt(lang)
    | ~ spl0_14 ),
    inference(resolution,[],[f103,f1]) ).

fof(f103,plain,
    ( both(lang)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f245,plain,
    ( spl0_7
    | spl0_19
    | spl0_22 ),
    inference(avatar_split_clause,[],[f179,f143,f125,f69]) ).

fof(f179,plain,
    ( oneof(barry)
    | both(barry)
    | spl0_22 ),
    inference(resolution,[],[f7,f145]) ).

fof(f145,plain,
    ( ~ neither(barry)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f244,plain,
    ( spl0_7
    | ~ spl0_16
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f227,f93,f112,f69]) ).

fof(f227,plain,
    ( ~ salt(barry)
    | both(barry)
    | ~ spl0_12 ),
    inference(resolution,[],[f95,f3]) ).

fof(f95,plain,
    ( mustard(barry)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f234,plain,
    ( spl0_1
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | spl0_1
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f231,f47]) ).

fof(f231,plain,
    ( mustard(lang)
    | ~ spl0_14 ),
    inference(resolution,[],[f103,f2]) ).

fof(f220,plain,
    ( spl0_18
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f216,f78,f121]) ).

fof(f216,plain,
    ( salt(cole)
    | ~ spl0_9 ),
    inference(resolution,[],[f79,f1]) ).

fof(f209,plain,
    ( spl0_14
    | spl0_5
    | spl0_25 ),
    inference(avatar_split_clause,[],[f181,f160,f61,f102]) ).

fof(f181,plain,
    ( oneof(lang)
    | both(lang)
    | spl0_25 ),
    inference(resolution,[],[f7,f162]) ).

fof(f162,plain,
    ( ~ neither(lang)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f203,plain,
    ( spl0_13
    | spl0_6
    | spl0_23 ),
    inference(avatar_split_clause,[],[f183,f150,f65,f97]) ).

fof(f65,plain,
    ( spl0_6
  <=> oneof(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f183,plain,
    ( oneof(mill)
    | both(mill)
    | spl0_23 ),
    inference(resolution,[],[f7,f152]) ).

fof(f152,plain,
    ( ~ neither(mill)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f174,plain,
    ( spl0_23
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f34,f45,f57,f150]) ).

fof(f34,axiom,
    ( ~ mustard(lang)
    | neither(cole)
    | neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_1) ).

fof(f173,plain,
    ( spl0_17
    | spl0_21
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f40,f107,f134,f116]) ).

fof(f40,axiom,
    ( ~ mustard(mill)
    | oneof(dix)
    | oneof(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_1) ).

fof(f172,plain,
    ( spl0_25
    | spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f28,f155,f150,f160]) ).

fof(f28,axiom,
    ( ~ mustard(dix)
    | neither(mill)
    | neither(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_1) ).

fof(f171,plain,
    ( spl0_3
    | spl0_13
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f16,f93,f97,f53]) ).

fof(f16,axiom,
    ( ~ mustard(barry)
    | both(mill)
    | neither(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_1) ).

fof(f170,plain,
    ( spl0_14
    | spl0_11
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f22,f84,f88,f102]) ).

fof(f22,axiom,
    ( ~ mustard(cole)
    | both(dix)
    | both(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_1) ).

fof(f169,plain,
    ( spl0_19
    | spl0_21
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f31,f130,f134,f125]) ).

fof(f31,axiom,
    ( ~ salt(lang)
    | oneof(dix)
    | oneof(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_1) ).

fof(f167,plain,
    ( spl0_23
    | spl0_19
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f19,f121,f125,f150]) ).

fof(f19,axiom,
    ( ~ salt(cole)
    | oneof(barry)
    | neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_1) ).

fof(f165,plain,
    ( spl0_22
    | spl0_9
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f25,f74,f78,f143]) ).

fof(f25,axiom,
    ( ~ salt(dix)
    | both(cole)
    | neither(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_1) ).

fof(f164,plain,
    ( spl0_1
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f36,f150,f45]) ).

fof(f36,axiom,
    ( ~ neither(mill)
    | mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_3) ).

fof(f163,plain,
    ( spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f29,f160,f155]) ).

fof(f29,axiom,
    ( ~ neither(lang)
    | mustard(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_2) ).

fof(f158,plain,
    ( spl0_24
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f30,f150,f155]) ).

fof(f30,axiom,
    ( ~ neither(mill)
    | mustard(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_3) ).

fof(f148,plain,
    ( spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f35,f57,f45]) ).

fof(f35,axiom,
    ( ~ neither(cole)
    | mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_2) ).

fof(f147,plain,
    ( spl0_12
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f17,f53,f93]) ).

fof(f17,axiom,
    ( ~ neither(dix)
    | mustard(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_2) ).

fof(f141,plain,
    ( spl0_16
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f15,f61,f112]) ).

fof(f15,axiom,
    ( ~ oneof(lang)
    | salt(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_3) ).

fof(f138,plain,
    ( spl0_20
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f32,f125,f130]) ).

fof(f32,axiom,
    ( ~ oneof(barry)
    | salt(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_2) ).

fof(f137,plain,
    ( spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f33,f134,f130]) ).

fof(f33,axiom,
    ( ~ oneof(dix)
    | salt(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_3) ).

fof(f128,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f20,f125,f121]) ).

fof(f20,axiom,
    ( ~ oneof(barry)
    | salt(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_2) ).

fof(f119,plain,
    ( spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f14,f116,f112]) ).

fof(f14,axiom,
    ( ~ oneof(cole)
    | salt(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_2) ).

fof(f110,plain,
    ( spl0_15
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f39,f102,f107]) ).

fof(f39,axiom,
    ( ~ both(lang)
    | mustard(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_3) ).

fof(f105,plain,
    ( spl0_10
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f24,f102,f84]) ).

fof(f24,axiom,
    ( ~ both(lang)
    | mustard(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_3) ).

fof(f82,plain,
    ( spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f38,f69,f49]) ).

fof(f49,plain,
    ( spl0_2
  <=> salt(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f38,axiom,
    ( ~ both(barry)
    | salt(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_2) ).

fof(f81,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f27,f78,f74]) ).

fof(f27,axiom,
    ( ~ both(cole)
    | salt(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_3) ).

fof(f72,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f43,f69,f65,f61,f57,f53,f49,f45]) ).

fof(f43,axiom,
    ( ~ both(barry)
    | ~ oneof(mill)
    | ~ oneof(lang)
    | ~ neither(cole)
    | ~ neither(dix)
    | ~ salt(mill)
    | ~ mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 02:34:44 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (31922)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (31924)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (31925)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (31927)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (31926)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (31923)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (31928)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (31929)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [5]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  Detected maximum model sizes of [5]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [5]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [5]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (31928)First to succeed.
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  % (31925)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [5]
% 0.15/0.38  % (31928)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (31928)------------------------------
% 0.15/0.38  % (31928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (31928)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (31928)Memory used [KB]: 837
% 0.15/0.38  % (31928)Time elapsed: 0.007 s
% 0.15/0.38  % (31928)Instructions burned: 9 (million)
% 0.15/0.38  % (31928)------------------------------
% 0.15/0.38  % (31928)------------------------------
% 0.15/0.38  % (31922)Success in time 0.023 s
%------------------------------------------------------------------------------