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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n007.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 18:11:36 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  153 (   1 unt;   0 def)
%            Number of atoms       :  354 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  360 ( 159   ~; 176   |;   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(f312,plain,
    $false,
    inference(avatar_sat_refutation,[],[f57,f62,f85,f100,f109,f122,f137,f142,f143,f153,f158,f159,f164,f165,f166,f167,f168,f169,f171,f172,f173,f174,f184,f186,f187,f188,f192,f196,f202,f212,f213,f224,f225,f228,f233,f236,f240,f245,f249,f259,f260,f262,f275,f276,f277,f298,f299,f301,f311]) ).

fof(f311,plain,
    ( spl0_6
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f309,f161,f68]) ).

fof(f68,plain,
    ( spl0_6
  <=> mustard(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f161,plain,
    ( spl0_25
  <=> both(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f309,plain,
    ( mustard(cole)
    | ~ spl0_25 ),
    inference(resolution,[],[f163,f2]) ).

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

fof(f163,plain,
    ( both(cole)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f301,plain,
    ( ~ spl0_14
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f292,f96,f106]) ).

fof(f106,plain,
    ( spl0_14
  <=> both(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f96,plain,
    ( spl0_12
  <=> oneof(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f292,plain,
    ( ~ both(barry)
    | ~ spl0_12 ),
    inference(resolution,[],[f98,f5]) ).

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

fof(f98,plain,
    ( oneof(barry)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f299,plain,
    ( ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f294,f119,f68]) ).

fof(f119,plain,
    ( spl0_17
  <=> neither(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f294,plain,
    ( ~ mustard(cole)
    | ~ spl0_17 ),
    inference(resolution,[],[f121,f11]) ).

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

fof(f121,plain,
    ( neither(cole)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f298,plain,
    ( ~ spl0_21
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f295,f119,f139]) ).

fof(f139,plain,
    ( spl0_21
  <=> salt(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f295,plain,
    ( ~ salt(cole)
    | ~ spl0_17 ),
    inference(resolution,[],[f121,f10]) ).

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

fof(f277,plain,
    ( spl0_9
    | spl0_19
    | spl0_11 ),
    inference(avatar_split_clause,[],[f263,f91,f130,f82]) ).

fof(f82,plain,
    ( spl0_9
  <=> both(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f130,plain,
    ( spl0_19
  <=> oneof(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f91,plain,
    ( spl0_11
  <=> neither(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f263,plain,
    ( oneof(lang)
    | both(lang)
    | spl0_11 ),
    inference(resolution,[],[f93,f7]) ).

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

fof(f93,plain,
    ( ~ neither(lang)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f276,plain,
    ( spl0_9
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f268,f115,f54,f82]) ).

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

fof(f115,plain,
    ( spl0_16
  <=> mustard(lang) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f268,plain,
    ( ~ salt(lang)
    | both(lang)
    | ~ spl0_16 ),
    inference(resolution,[],[f116,f3]) ).

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

fof(f116,plain,
    ( mustard(lang)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f275,plain,
    ( ~ spl0_24
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f272,f145,f155]) ).

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

fof(f145,plain,
    ( spl0_22
  <=> neither(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f272,plain,
    ( ~ salt(barry)
    | ~ spl0_22 ),
    inference(resolution,[],[f146,f10]) ).

fof(f146,plain,
    ( neither(barry)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f262,plain,
    ( spl0_14
    | ~ spl0_24
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f189,f73,f155,f106]) ).

fof(f73,plain,
    ( spl0_7
  <=> mustard(barry) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f189,plain,
    ( ~ salt(barry)
    | both(barry)
    | ~ spl0_7 ),
    inference(resolution,[],[f75,f3]) ).

fof(f75,plain,
    ( mustard(barry)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f260,plain,
    ( ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f256,f91,f54]) ).

fof(f256,plain,
    ( ~ salt(lang)
    | ~ spl0_11 ),
    inference(resolution,[],[f92,f10]) ).

fof(f92,plain,
    ( neither(lang)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f259,plain,
    ( ~ spl0_19
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f258,f91,f130]) ).

fof(f258,plain,
    ( ~ oneof(lang)
    | ~ spl0_11 ),
    inference(resolution,[],[f92,f6]) ).

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

fof(f249,plain,
    ( spl0_13
    | spl0_1
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f247,f134,f45,f102]) ).

fof(f102,plain,
    ( spl0_13
  <=> salt(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

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

fof(f134,plain,
    ( spl0_20
  <=> oneof(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f247,plain,
    ( mustard(mill)
    | salt(mill)
    | ~ spl0_20 ),
    inference(resolution,[],[f135,f4]) ).

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

fof(f135,plain,
    ( oneof(mill)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f245,plain,
    ( ~ spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f227,f49,f64]) ).

fof(f64,plain,
    ( spl0_5
  <=> both(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

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

fof(f227,plain,
    ( ~ both(dix)
    | ~ spl0_2 ),
    inference(resolution,[],[f50,f5]) ).

fof(f50,plain,
    ( oneof(dix)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f240,plain,
    ( spl0_16
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f238,f82,f115]) ).

fof(f238,plain,
    ( mustard(lang)
    | ~ spl0_9 ),
    inference(resolution,[],[f84,f2]) ).

fof(f84,plain,
    ( both(lang)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f236,plain,
    ( ~ spl0_25
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f235,f59,f161]) ).

fof(f59,plain,
    ( spl0_4
  <=> oneof(cole) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f235,plain,
    ( ~ both(cole)
    | ~ spl0_4 ),
    inference(resolution,[],[f61,f5]) ).

fof(f61,plain,
    ( oneof(cole)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f233,plain,
    ( spl0_24
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f207,f106,f155]) ).

fof(f207,plain,
    ( salt(barry)
    | ~ spl0_14 ),
    inference(resolution,[],[f107,f1]) ).

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

fof(f107,plain,
    ( both(barry)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f228,plain,
    ( spl0_10
    | spl0_23
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f226,f49,f149,f87]) ).

fof(f87,plain,
    ( spl0_10
  <=> mustard(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f149,plain,
    ( spl0_23
  <=> salt(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f226,plain,
    ( salt(dix)
    | mustard(dix)
    | ~ spl0_2 ),
    inference(resolution,[],[f50,f4]) ).

fof(f225,plain,
    ( spl0_23
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f223,f64,f149]) ).

fof(f223,plain,
    ( salt(dix)
    | ~ spl0_5 ),
    inference(resolution,[],[f65,f1]) ).

fof(f65,plain,
    ( both(dix)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f224,plain,
    ( spl0_10
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f222,f64,f87]) ).

fof(f222,plain,
    ( mustard(dix)
    | ~ spl0_5 ),
    inference(resolution,[],[f65,f2]) ).

fof(f213,plain,
    ( ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f209,f111,f102]) ).

fof(f111,plain,
    ( spl0_15
  <=> neither(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f209,plain,
    ( ~ salt(mill)
    | ~ spl0_15 ),
    inference(resolution,[],[f113,f10]) ).

fof(f113,plain,
    ( neither(mill)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f212,plain,
    ( ~ spl0_1
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f208,f111,f45]) ).

fof(f208,plain,
    ( ~ mustard(mill)
    | ~ spl0_15 ),
    inference(resolution,[],[f113,f11]) ).

fof(f202,plain,
    ( ~ spl0_16
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f198,f91,f115]) ).

fof(f198,plain,
    ( ~ mustard(lang)
    | ~ spl0_11 ),
    inference(resolution,[],[f92,f11]) ).

fof(f196,plain,
    ( spl0_6
    | spl0_21
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f194,f59,f139,f68]) ).

fof(f194,plain,
    ( salt(cole)
    | mustard(cole)
    | ~ spl0_4 ),
    inference(resolution,[],[f61,f4]) ).

fof(f192,plain,
    ( spl0_1
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f190,f77,f45]) ).

fof(f77,plain,
    ( spl0_8
  <=> both(mill) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f190,plain,
    ( mustard(mill)
    | ~ spl0_8 ),
    inference(resolution,[],[f78,f2]) ).

fof(f78,plain,
    ( both(mill)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f188,plain,
    ( spl0_4
    | spl0_25
    | spl0_17 ),
    inference(avatar_split_clause,[],[f180,f119,f161,f59]) ).

fof(f180,plain,
    ( both(cole)
    | oneof(cole)
    | spl0_17 ),
    inference(resolution,[],[f7,f120]) ).

fof(f120,plain,
    ( ~ neither(cole)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f187,plain,
    ( spl0_14
    | spl0_12
    | spl0_22 ),
    inference(avatar_split_clause,[],[f179,f145,f96,f106]) ).

fof(f179,plain,
    ( oneof(barry)
    | both(barry)
    | spl0_22 ),
    inference(resolution,[],[f7,f147]) ).

fof(f147,plain,
    ( ~ neither(barry)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f186,plain,
    ( spl0_8
    | spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f183,f111,f134,f77]) ).

fof(f183,plain,
    ( oneof(mill)
    | both(mill)
    | spl0_15 ),
    inference(resolution,[],[f7,f112]) ).

fof(f112,plain,
    ( ~ neither(mill)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f184,plain,
    ( spl0_2
    | spl0_5
    | spl0_18 ),
    inference(avatar_split_clause,[],[f182,f124,f64,f49]) ).

fof(f124,plain,
    ( spl0_18
  <=> neither(dix) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f182,plain,
    ( both(dix)
    | oneof(dix)
    | spl0_18 ),
    inference(resolution,[],[f7,f125]) ).

fof(f125,plain,
    ( ~ neither(dix)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f174,plain,
    ( spl0_24
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f14,f59,f155]) ).

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

fof(f173,plain,
    ( spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f35,f119,f115]) ).

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

fof(f172,plain,
    ( ~ spl0_19
    | spl0_24 ),
    inference(avatar_split_clause,[],[f15,f155,f130]) ).

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

fof(f171,plain,
    ( spl0_21
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f21,f111,f139]) ).

fof(f21,axiom,
    ( ~ neither(mill)
    | salt(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_3) ).

fof(f169,plain,
    ( ~ spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f24,f68,f82]) ).

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

fof(f168,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f41,f45,f59]) ).

fof(f41,axiom,
    ( mustard(mill)
    | ~ oneof(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_2) ).

fof(f167,plain,
    ( spl0_3
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f32,f96,f54]) ).

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

fof(f166,plain,
    ( ~ spl0_18
    | spl0_7 ),
    inference(avatar_split_clause,[],[f17,f73,f124]) ).

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

fof(f165,plain,
    ( ~ spl0_10
    | spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f28,f111,f91,f87]) ).

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

fof(f164,plain,
    ( spl0_22
    | spl0_25
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f25,f149,f161,f145]) ).

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

fof(f159,plain,
    ( spl0_16
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f36,f111,f115]) ).

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

fof(f158,plain,
    ( ~ spl0_24
    | spl0_4
    | spl0_19 ),
    inference(avatar_split_clause,[],[f13,f130,f59,f155]) ).

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

fof(f153,plain,
    ( spl0_12
    | spl0_15
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f19,f139,f111,f96]) ).

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

fof(f143,plain,
    ( ~ spl0_13
    | spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f37,f106,f82,f102]) ).

fof(f37,axiom,
    ( both(barry)
    | both(lang)
    | ~ salt(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_1) ).

fof(f142,plain,
    ( ~ spl0_12
    | spl0_21 ),
    inference(avatar_split_clause,[],[f20,f139,f96]) ).

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

fof(f137,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f43,f106,f102,f134,f130,f115,f124,f119]) ).

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

fof(f122,plain,
    ( spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f34,f119,f115,f111]) ).

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

fof(f109,plain,
    ( spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f38,f106,f102]) ).

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

fof(f100,plain,
    ( ~ spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f39,f45,f82]) ).

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

fof(f85,plain,
    ( spl0_9
    | ~ spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f22,f64,f68,f82]) ).

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

fof(f62,plain,
    ( ~ spl0_1
    | spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f40,f49,f59,f45]) ).

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

fof(f57,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f33,f54,f49]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 10:24:16 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (31900)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (31917)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51  % (31889)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  Detected maximum model sizes of [5]
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 0.19/0.51  TRYING [4]
% 0.19/0.51  % (31900)First to succeed.
% 0.19/0.51  % (31900)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (31900)------------------------------
% 0.19/0.52  % (31900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (31900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (31900)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (31900)Memory used [KB]: 5500
% 0.19/0.52  % (31900)Time elapsed: 0.108 s
% 0.19/0.52  % (31900)Instructions burned: 5 (million)
% 0.19/0.52  % (31900)------------------------------
% 0.19/0.52  % (31900)------------------------------
% 0.19/0.52  % (31888)Success in time 0.162 s
%------------------------------------------------------------------------------