TSTP Solution File: PUZ030-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n004.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 18:10:45 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  187 (   1 unt;   0 def)
%            Number of atoms       :  450 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  463 ( 200   ~; 238   |;   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(f375,plain,
    $false,
    inference(avatar_sat_refutation,[],[f61,f74,f79,f92,f101,f110,f124,f135,f150,f155,f156,f162,f163,f164,f165,f169,f170,f171,f174,f189,f192,f204,f225,f233,f237,f250,f260,f267,f288,f297,f298,f305,f313,f314,f316,f333,f343,f347,f349,f354,f355,f358,f369,f371,f374]) ).

fof(f374,plain,
    ( ~ spl0_14
    | spl0_20
    | spl0_22 ),
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f373,plain,
    ( $false
    | ~ spl0_14
    | spl0_20
    | spl0_22 ),
    inference(subsumption_resolution,[],[f372,f145]) ).

fof(f145,plain,
    ( ~ mustard(dix)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl0_22
  <=> mustard(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f372,plain,
    ( mustard(dix)
    | ~ spl0_14
    | spl0_20 ),
    inference(subsumption_resolution,[],[f337,f132]) ).

fof(f132,plain,
    ( ~ salt(dix)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl0_20
  <=> salt(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f337,plain,
    ( salt(dix)
    | mustard(dix)
    | ~ spl0_14 ),
    inference(resolution,[],[f105,f4]) ).

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

fof(f105,plain,
    ( oneof(dix)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl0_14
  <=> oneof(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f371,plain,
    ( ~ spl0_6
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f370]) ).

fof(f370,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f367,f69]) ).

fof(f69,plain,
    ( oneof(lang)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl0_6
  <=> oneof(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f367,plain,
    ( ~ oneof(lang)
    | ~ spl0_23 ),
    inference(resolution,[],[f149,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ neither(X0)
      | ~ oneof(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof3) ).

fof(f149,plain,
    ( neither(lang)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl0_23
  <=> neither(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f369,plain,
    ( ~ spl0_16
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f368]) ).

fof(f368,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f365,f113]) ).

fof(f113,plain,
    ( salt(lang)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f112]) ).

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

fof(f365,plain,
    ( ~ salt(lang)
    | ~ spl0_23 ),
    inference(resolution,[],[f149,f10]) ).

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

fof(f358,plain,
    ( spl0_17
    | spl0_4
    | spl0_21 ),
    inference(avatar_split_clause,[],[f357,f137,f58,f116]) ).

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

fof(f58,plain,
    ( spl0_4
  <=> both(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f137,plain,
    ( spl0_21
  <=> neither(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f357,plain,
    ( oneof(barry)
    | spl0_4
    | spl0_21 ),
    inference(subsumption_resolution,[],[f282,f60]) ).

fof(f60,plain,
    ( ~ both(barry)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f282,plain,
    ( oneof(barry)
    | both(barry)
    | spl0_21 ),
    inference(resolution,[],[f139,f7]) ).

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

fof(f139,plain,
    ( ~ neither(barry)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f355,plain,
    ( spl0_25
    | spl0_24
    | spl0_10 ),
    inference(avatar_split_clause,[],[f319,f85,f152,f158]) ).

fof(f158,plain,
    ( spl0_25
  <=> both(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f152,plain,
    ( spl0_24
  <=> oneof(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f85,plain,
    ( spl0_10
  <=> neither(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f319,plain,
    ( oneof(mill)
    | both(mill)
    | spl0_10 ),
    inference(resolution,[],[f86,f7]) ).

fof(f86,plain,
    ( ~ neither(mill)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f354,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | spl0_18 ),
    inference(subsumption_resolution,[],[f352,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(f352,plain,
    ( salt(cole)
    | spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f350,f50]) ).

fof(f50,plain,
    ( ~ mustard(cole)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f49]) ).

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

fof(f350,plain,
    ( mustard(cole)
    | salt(cole)
    | ~ spl0_7 ),
    inference(resolution,[],[f73,f4]) ).

fof(f73,plain,
    ( oneof(cole)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_7
  <=> oneof(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f349,plain,
    ( spl0_2
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f348,plain,
    ( $false
    | spl0_2
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f344,f50]) ).

fof(f344,plain,
    ( mustard(cole)
    | ~ spl0_19 ),
    inference(resolution,[],[f128,f2]) ).

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

fof(f128,plain,
    ( both(cole)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl0_19
  <=> both(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f347,plain,
    ( spl0_18
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f346]) ).

fof(f346,plain,
    ( $false
    | spl0_18
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f345,f123]) ).

fof(f345,plain,
    ( salt(cole)
    | ~ spl0_19 ),
    inference(resolution,[],[f128,f1]) ).

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

fof(f343,plain,
    ( ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f341,f59]) ).

fof(f59,plain,
    ( both(barry)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f341,plain,
    ( ~ both(barry)
    | ~ spl0_17 ),
    inference(resolution,[],[f118,f5]) ).

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

fof(f118,plain,
    ( oneof(barry)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f333,plain,
    ( spl0_14
    | spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f332,f98,f45,f103]) ).

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

fof(f98,plain,
    ( spl0_13
  <=> neither(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f332,plain,
    ( oneof(dix)
    | spl0_1
    | spl0_13 ),
    inference(subsumption_resolution,[],[f321,f47]) ).

fof(f47,plain,
    ( ~ both(dix)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f321,plain,
    ( oneof(dix)
    | both(dix)
    | spl0_13 ),
    inference(resolution,[],[f100,f7]) ).

fof(f100,plain,
    ( ~ neither(dix)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f316,plain,
    ( ~ spl0_1
    | spl0_22 ),
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f315,plain,
    ( $false
    | ~ spl0_1
    | spl0_22 ),
    inference(subsumption_resolution,[],[f290,f145]) ).

fof(f290,plain,
    ( mustard(dix)
    | ~ spl0_1 ),
    inference(resolution,[],[f46,f2]) ).

fof(f46,plain,
    ( both(dix)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f314,plain,
    ( spl0_9
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f306,f76,f81]) ).

fof(f81,plain,
    ( spl0_9
  <=> mustard(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f76,plain,
    ( spl0_8
  <=> both(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f306,plain,
    ( mustard(lang)
    | ~ spl0_8 ),
    inference(resolution,[],[f78,f2]) ).

fof(f78,plain,
    ( both(lang)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f313,plain,
    ( ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f312]) ).

fof(f312,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f308,f108]) ).

fof(f108,plain,
    ( mustard(mill)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f107]) ).

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

fof(f308,plain,
    ( ~ mustard(mill)
    | ~ spl0_10 ),
    inference(resolution,[],[f87,f11]) ).

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

fof(f87,plain,
    ( neither(mill)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f305,plain,
    ( ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f304]) ).

fof(f304,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f303,f78]) ).

fof(f303,plain,
    ( ~ both(lang)
    | ~ spl0_6 ),
    inference(resolution,[],[f69,f5]) ).

fof(f298,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f291,f45,f131]) ).

fof(f291,plain,
    ( salt(dix)
    | ~ spl0_1 ),
    inference(resolution,[],[f46,f1]) ).

fof(f297,plain,
    ( ~ spl0_19
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f294,f71,f127]) ).

fof(f294,plain,
    ( ~ both(cole)
    | ~ spl0_7 ),
    inference(resolution,[],[f73,f5]) ).

fof(f288,plain,
    ( spl0_15
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f284,f158,f107]) ).

fof(f284,plain,
    ( mustard(mill)
    | ~ spl0_25 ),
    inference(resolution,[],[f159,f2]) ).

fof(f159,plain,
    ( both(mill)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f267,plain,
    ( ~ spl0_9
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f266,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f262,f82]) ).

fof(f82,plain,
    ( mustard(lang)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f262,plain,
    ( ~ mustard(lang)
    | ~ spl0_23 ),
    inference(resolution,[],[f149,f11]) ).

fof(f260,plain,
    ( ~ spl0_5
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f259]) ).

fof(f259,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f256,f64]) ).

fof(f64,plain,
    ( salt(barry)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl0_5
  <=> salt(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f256,plain,
    ( ~ salt(barry)
    | ~ spl0_21 ),
    inference(resolution,[],[f138,f10]) ).

fof(f138,plain,
    ( neither(barry)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f250,plain,
    ( ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f242,f85,f54]) ).

fof(f54,plain,
    ( spl0_3
  <=> salt(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f242,plain,
    ( ~ salt(mill)
    | ~ spl0_10 ),
    inference(resolution,[],[f87,f10]) ).

fof(f237,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f236]) ).

fof(f236,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f210,f51]) ).

fof(f51,plain,
    ( mustard(cole)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f210,plain,
    ( ~ mustard(cole)
    | ~ spl0_11 ),
    inference(resolution,[],[f91,f11]) ).

fof(f91,plain,
    ( neither(cole)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl0_11
  <=> neither(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f233,plain,
    ( ~ spl0_13
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f232]) ).

fof(f232,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f228,f144]) ).

fof(f144,plain,
    ( mustard(dix)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f228,plain,
    ( ~ mustard(dix)
    | ~ spl0_13 ),
    inference(resolution,[],[f99,f11]) ).

fof(f99,plain,
    ( neither(dix)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f225,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f224]) ).

fof(f224,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f223,f64]) ).

fof(f223,plain,
    ( ~ salt(barry)
    | spl0_4
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f222,f60]) ).

fof(f222,plain,
    ( both(barry)
    | ~ salt(barry)
    | ~ spl0_12 ),
    inference(resolution,[],[f96,f3]) ).

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

fof(f96,plain,
    ( mustard(barry)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl0_12
  <=> mustard(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f204,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f203]) ).

fof(f203,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f202,f113]) ).

fof(f202,plain,
    ( ~ salt(lang)
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f201,f77]) ).

fof(f77,plain,
    ( ~ both(lang)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f201,plain,
    ( both(lang)
    | ~ salt(lang)
    | ~ spl0_9 ),
    inference(resolution,[],[f82,f3]) ).

fof(f192,plain,
    ( spl0_6
    | spl0_8
    | spl0_23 ),
    inference(avatar_contradiction_clause,[],[f191]) ).

fof(f191,plain,
    ( $false
    | spl0_6
    | spl0_8
    | spl0_23 ),
    inference(subsumption_resolution,[],[f190,f77]) ).

fof(f190,plain,
    ( both(lang)
    | spl0_6
    | spl0_23 ),
    inference(subsumption_resolution,[],[f181,f68]) ).

fof(f68,plain,
    ( ~ oneof(lang)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f181,plain,
    ( both(lang)
    | oneof(lang)
    | spl0_23 ),
    inference(resolution,[],[f7,f148]) ).

fof(f148,plain,
    ( ~ neither(lang)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f189,plain,
    ( spl0_7
    | spl0_11
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f188]) ).

fof(f188,plain,
    ( $false
    | spl0_7
    | spl0_11
    | spl0_19 ),
    inference(subsumption_resolution,[],[f187,f72]) ).

fof(f72,plain,
    ( ~ oneof(cole)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f187,plain,
    ( oneof(cole)
    | spl0_11
    | spl0_19 ),
    inference(subsumption_resolution,[],[f180,f129]) ).

fof(f129,plain,
    ( ~ both(cole)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f180,plain,
    ( both(cole)
    | oneof(cole)
    | spl0_11 ),
    inference(resolution,[],[f7,f90]) ).

fof(f90,plain,
    ( ~ neither(cole)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f174,plain,
    ( ~ spl0_17
    | spl0_16 ),
    inference(avatar_split_clause,[],[f32,f112,f116]) ).

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

fof(f171,plain,
    ( ~ spl0_8
    | spl0_15 ),
    inference(avatar_split_clause,[],[f39,f107,f76]) ).

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

fof(f170,plain,
    ( spl0_19
    | spl0_21
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f25,f131,f137,f127]) ).

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

fof(f169,plain,
    ( ~ spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f36,f81,f85]) ).

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

fof(f165,plain,
    ( spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f14,f71,f63]) ).

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

fof(f164,plain,
    ( ~ spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f35,f81,f89]) ).

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

fof(f163,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f15,f67,f63]) ).

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

fof(f162,plain,
    ( spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f29,f147,f143]) ).

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

fof(f156,plain,
    ( spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f24,f76,f49]) ).

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

fof(f155,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_24
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f43,f98,f89,f152,f58,f54,f81,f67]) ).

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

fof(f150,plain,
    ( ~ spl0_22
    | spl0_10
    | spl0_23 ),
    inference(avatar_split_clause,[],[f28,f147,f85,f143]) ).

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

fof(f135,plain,
    ( ~ spl0_14
    | spl0_16 ),
    inference(avatar_split_clause,[],[f33,f112,f103]) ).

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

fof(f124,plain,
    ( spl0_17
    | spl0_10
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f19,f121,f85,f116]) ).

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

fof(f110,plain,
    ( spl0_7
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f40,f107,f103,f71]) ).

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

fof(f101,plain,
    ( spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f17,f98,f94]) ).

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

fof(f92,plain,
    ( ~ spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f34,f89,f85,f81]) ).

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

fof(f79,plain,
    ( ~ spl0_2
    | spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f22,f76,f45,f49]) ).

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

fof(f74,plain,
    ( ~ spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f13,f71,f67,f63]) ).

fof(f13,axiom,
    ( oneof(cole)
    | oneof(lang)
    | ~ salt(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_1) ).

fof(f61,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f38,f58,f54]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 10:36:04 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (13057)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (13074)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (13054)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.50  % (13073)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.50  % (13066)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (13054)First to succeed.
% 0.20/0.50  % (13054)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (13054)------------------------------
% 0.20/0.50  % (13054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (13054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (13054)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (13054)Memory used [KB]: 6012
% 0.20/0.50  % (13054)Time elapsed: 0.097 s
% 0.20/0.50  % (13054)Instructions burned: 5 (million)
% 0.20/0.50  % (13054)------------------------------
% 0.20/0.50  % (13054)------------------------------
% 0.20/0.50  % (13048)Success in time 0.148 s
%------------------------------------------------------------------------------