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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PUZ019-1 : TPTP v9.3.1. Bugfixed v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:31:55 PM UTC 2026

% Result   : Unsatisfiable 0.11s 0.45s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  207 (  45 unt;  33 def)
%            Number of atoms       :  468 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  483 ( 222   ~; 228   |;   0   &)
%                                         (  33 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   38 (  37 usr;  34 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   44 (   0 sgn  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,axiom,
    ! [X0] :
      ( ~ has_job(X0,nurse)
      | male(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_is_male) ).

fof(f41,axiom,
    ! [X0] :
      ( ~ has_job(X0,chef)
      | female(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_is_female) ).

fof(f42,axiom,
    ! [X0] :
      ( ~ has_job(X0,nurse)
      | educated(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_is_educated) ).

fof(f44,axiom,
    ! [X0] :
      ( ~ has_job(X0,police)
      | educated(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',police_is_educated) ).

fof(f46,axiom,
    ! [X0] :
      ( ~ male(X0)
      | ~ female(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',males_are_not_female) ).

fof(f54,axiom,
    ! [X0] :
      ( has_job(roberta,X0)
      | has_job(thelma,X0)
      | has_job(pete,X0)
      | has_job(steve,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',every_job_is_used) ).

fof(f56,axiom,
    ~ educated(pete),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pete_is_not_educated) ).

fof(f57,axiom,
    ~ has_job(roberta,chef),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_is_not_chef) ).

fof(f58,axiom,
    ~ has_job(roberta,boxer),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_is_not_boxer) ).

fof(f59,axiom,
    ~ has_job(roberta,police),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_is_not_police) ).

fof(f60,axiom,
    male(steve),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',steve_is_male) ).

fof(f62,axiom,
    female(roberta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_is_female) ).

fof(f63,axiom,
    female(thelma),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thelma_is_female) ).

fof(f64,negated_conjecture,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ has_job(X0,chef)
      | ~ has_job(X1,guard)
      | ~ has_job(X2,nurse)
      | ~ has_job(X3,operator)
      | ~ has_job(X4,police)
      | ~ has_job(X5,teacher)
      | ~ has_job(X6,actor)
      | ~ has_job(X7,boxer) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',find_who_has_each_job) ).

fof(f95,plain,
    ! [X0] :
      ( male(X0)
      | has_job(X0,nurse) ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f97,plain,
    ! [X0] :
      ( has_job(X0,chef)
      | ~ female(X0) ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f98,plain,
    ! [X0] :
      ( has_job(X0,nurse)
      | ~ educated(X0) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f100,plain,
    ! [X0] :
      ( has_job(X0,police)
      | ~ educated(X0) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f102,plain,
    ! [X0] :
      ( female(X0)
      | ~ male(X0) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ has_job(steve,X0)
      | ~ has_job(thelma,X0)
      | ~ has_job(pete,X0)
      | ~ has_job(roberta,X0) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f111,plain,
    educated(pete),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f112,plain,
    has_job(roberta,chef),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f113,plain,
    has_job(roberta,boxer),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f114,plain,
    has_job(roberta,police),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f115,plain,
    ~ female(roberta),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f116,plain,
    ~ female(thelma),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( has_job(X0,chef)
      | has_job(X1,guard)
      | has_job(X2,nurse)
      | has_job(X3,operator)
      | has_job(X4,police)
      | has_job(X5,teacher)
      | has_job(X6,actor)
      | has_job(X7,boxer) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f119,definition,
    ( spl0_1
  <=> ! [X7] : has_job(X7,boxer) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f120,plain,
    ( ! [X7] : has_job(X7,boxer)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f122,definition,
    ( spl0_2
  <=> ! [X6] : has_job(X6,actor) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f123,plain,
    ( ! [X6] : has_job(X6,actor)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f125,definition,
    ( spl0_3
  <=> ! [X5] : has_job(X5,teacher) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f126,plain,
    ( ! [X5] : has_job(X5,teacher)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f128,definition,
    ( spl0_4
  <=> ! [X4] : has_job(X4,police) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f129,plain,
    ( ! [X4] : has_job(X4,police)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f131,definition,
    ( spl0_5
  <=> ! [X3] : has_job(X3,operator) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f132,plain,
    ( ! [X3] : has_job(X3,operator)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f134,definition,
    ( spl0_6
  <=> ! [X2] : has_job(X2,nurse) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f135,plain,
    ( ! [X2] : has_job(X2,nurse)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f137,definition,
    ( spl0_7
  <=> ! [X1] : has_job(X1,guard) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f138,plain,
    ( ! [X1] : has_job(X1,guard)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f140,definition,
    ( spl0_8
  <=> ! [X0] : has_job(X0,chef) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f141,plain,
    ( ! [X0] : has_job(X0,chef)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f142,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f117,f140,f137,f134,f131,f128,f125,f122,f119]) ).

fof(f143,plain,
    ~ male(roberta),
    inference(resolution,[],[f102,f115]) ).

fof(f144,plain,
    ~ male(thelma),
    inference(resolution,[],[f102,f116]) ).

fof(f148,plain,
    has_job(roberta,nurse),
    inference(resolution,[],[f95,f143]) ).

fof(f149,plain,
    has_job(thelma,nurse),
    inference(resolution,[],[f95,f144]) ).

fof(f165,plain,
    ( ~ has_job(thelma,chef)
    | ~ has_job(pete,chef)
    | ~ has_job(roberta,chef)
    | ~ female(steve) ),
    inference(resolution,[],[f109,f97]) ).

fof(f170,plain,
    ( ~ has_job(thelma,actor)
    | ~ has_job(pete,actor)
    | ~ has_job(roberta,actor)
    | ~ spl0_2 ),
    inference(resolution,[],[f109,f123]) ).

fof(f177,definition,
    ( spl0_10
  <=> has_job(roberta,teacher) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f179,plain,
    ( ~ has_job(roberta,teacher)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f181,definition,
    ( spl0_11
  <=> has_job(pete,teacher) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f183,plain,
    ( ~ has_job(pete,teacher)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f185,definition,
    ( spl0_12
  <=> has_job(thelma,teacher) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f187,plain,
    ( ~ has_job(thelma,teacher)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f190,definition,
    ( spl0_13
  <=> has_job(roberta,actor) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f192,plain,
    ( ~ has_job(roberta,actor)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f194,definition,
    ( spl0_14
  <=> has_job(pete,actor) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f196,plain,
    ( ~ has_job(pete,actor)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f198,definition,
    ( spl0_15
  <=> has_job(thelma,actor) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f200,plain,
    ( ~ has_job(thelma,actor)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f170,f122,f198,f194,f190]) ).

fof(f203,definition,
    ( spl0_16
  <=> has_job(roberta,police) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f207,definition,
    ( spl0_17
  <=> has_job(pete,police) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f209,plain,
    ( ~ has_job(pete,police)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f211,definition,
    ( spl0_18
  <=> has_job(thelma,police) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f213,plain,
    ( ~ has_job(thelma,police)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f224,definition,
    ( spl0_21
  <=> has_job(roberta,operator) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f226,plain,
    ( ~ has_job(roberta,operator)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f228,definition,
    ( spl0_22
  <=> has_job(pete,operator) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f230,plain,
    ( ~ has_job(pete,operator)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f232,definition,
    ( spl0_23
  <=> has_job(thelma,operator) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f234,plain,
    ( ~ has_job(thelma,operator)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f237,definition,
    ( spl0_24
  <=> has_job(roberta,nurse) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f241,definition,
    ( spl0_25
  <=> has_job(pete,nurse) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f243,plain,
    ( ~ has_job(pete,nurse)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f245,definition,
    ( spl0_26
  <=> has_job(thelma,nurse) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f250,definition,
    ( spl0_27
  <=> female(steve) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f252,plain,
    ( ~ female(steve)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f254,definition,
    ( spl0_28
  <=> has_job(roberta,chef) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_29
  <=> has_job(pete,chef) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f260,plain,
    ( ~ has_job(pete,chef)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f262,definition,
    ( spl0_30
  <=> has_job(thelma,chef) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f264,plain,
    ( ~ has_job(thelma,chef)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f265,plain,
    ( ~ spl0_27
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f165,f262,f258,f254,f250]) ).

fof(f270,plain,
    ( $false
    | ~ spl0_2
    | spl0_13 ),
    inference(resolution,[],[f192,f123]) ).

fof(f272,plain,
    ( ~ spl0_2
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f273,plain,
    ( $false
    | ~ spl0_2
    | spl0_14 ),
    inference(resolution,[],[f196,f123]) ).

fof(f275,plain,
    ( ~ spl0_2
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f276,plain,
    ( $false
    | ~ spl0_2
    | spl0_15 ),
    inference(resolution,[],[f200,f123]) ).

fof(f278,plain,
    ( ~ spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f276]) ).

fof(f280,plain,
    ( ~ male(steve)
    | spl0_27 ),
    inference(resolution,[],[f252,f102]) ).

fof(f281,plain,
    ( $false
    | spl0_27 ),
    inference(resolution,[],[f280,f60]) ).

fof(f284,plain,
    spl0_27,
    inference(avatar_contradiction_clause,[],[f281]) ).

fof(f286,plain,
    ( $false
    | ~ spl0_3
    | spl0_10 ),
    inference(resolution,[],[f179,f126]) ).

fof(f288,plain,
    ( ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f286]) ).

fof(f300,plain,
    ( ~ educated(pete)
    | spl0_17 ),
    inference(resolution,[],[f209,f100]) ).

fof(f313,plain,
    ( $false
    | ~ spl0_5
    | spl0_21 ),
    inference(resolution,[],[f226,f132]) ).

fof(f315,plain,
    ( ~ spl0_5
    | spl0_21 ),
    inference(avatar_contradiction_clause,[],[f313]) ).

fof(f322,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f149,f245]) ).

fof(f323,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f148,f237]) ).

fof(f324,plain,
    ( ~ has_job(thelma,boxer)
    | ~ has_job(pete,boxer)
    | ~ has_job(roberta,boxer)
    | ~ spl0_1 ),
    inference(resolution,[],[f120,f109]) ).

fof(f326,definition,
    ( spl0_32
  <=> has_job(roberta,boxer) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f330,definition,
    ( spl0_33
  <=> has_job(pete,boxer) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f332,plain,
    ( ~ has_job(pete,boxer)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f334,definition,
    ( spl0_34
  <=> has_job(thelma,boxer) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f336,plain,
    ( ~ has_job(thelma,boxer)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f337,plain,
    ( ~ spl0_32
    | ~ spl0_33
    | ~ spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f324,f119,f334,f330,f326]) ).

fof(f341,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f113,f326]) ).

fof(f353,plain,
    ( $false
    | ~ spl0_1
    | spl0_33 ),
    inference(resolution,[],[f120,f332]) ).

fof(f355,plain,
    ( ~ spl0_1
    | spl0_33 ),
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f356,plain,
    ( $false
    | ~ spl0_4
    | spl0_18 ),
    inference(resolution,[],[f129,f213]) ).

fof(f357,plain,
    ( ~ has_job(thelma,police)
    | ~ has_job(pete,police)
    | ~ has_job(roberta,police)
    | ~ spl0_4 ),
    inference(resolution,[],[f129,f109]) ).

fof(f358,plain,
    ( ~ spl0_4
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

fof(f359,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f357,f128,f211,f207,f203]) ).

fof(f360,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f114,f203]) ).

fof(f361,plain,
    ( ~ has_job(thelma,guard)
    | ~ has_job(pete,guard)
    | ~ has_job(roberta,guard)
    | ~ spl0_7 ),
    inference(resolution,[],[f138,f109]) ).

fof(f363,definition,
    ( spl0_35
  <=> has_job(roberta,guard) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f365,plain,
    ( ~ has_job(roberta,guard)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f367,definition,
    ( spl0_36
  <=> has_job(pete,guard) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f369,plain,
    ( ~ has_job(pete,guard)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f371,definition,
    ( spl0_37
  <=> has_job(thelma,guard) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f373,plain,
    ( ~ has_job(thelma,guard)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f374,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | ~ spl0_37
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f361,f137,f371,f367,f363]) ).

fof(f375,plain,
    ( $false
    | ~ spl0_7
    | spl0_35 ),
    inference(resolution,[],[f365,f138]) ).

fof(f377,plain,
    ( ~ spl0_7
    | spl0_35 ),
    inference(avatar_contradiction_clause,[],[f375]) ).

fof(f379,plain,
    ( $false
    | ~ spl0_1
    | spl0_34 ),
    inference(resolution,[],[f336,f120]) ).

fof(f381,plain,
    ( ~ spl0_1
    | spl0_34 ),
    inference(avatar_contradiction_clause,[],[f379]) ).

fof(f400,plain,
    ( ~ educated(pete)
    | spl0_25 ),
    inference(resolution,[],[f98,f243]) ).

fof(f402,plain,
    ( $false
    | spl0_25 ),
    inference(resolution,[],[f400,f111]) ).

fof(f403,plain,
    spl0_25,
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f407,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f112,f254]) ).

fof(f408,plain,
    ( $false
    | ~ spl0_7
    | spl0_37 ),
    inference(resolution,[],[f138,f373]) ).

fof(f410,plain,
    ( ~ spl0_7
    | spl0_37 ),
    inference(avatar_contradiction_clause,[],[f408]) ).

fof(f412,plain,
    ( $false
    | ~ spl0_8
    | spl0_29 ),
    inference(resolution,[],[f260,f141]) ).

fof(f414,plain,
    ( ~ spl0_8
    | spl0_29 ),
    inference(avatar_contradiction_clause,[],[f412]) ).

fof(f415,plain,
    ( ~ has_job(thelma,nurse)
    | ~ has_job(pete,nurse)
    | ~ has_job(roberta,nurse)
    | ~ spl0_6 ),
    inference(resolution,[],[f135,f109]) ).

fof(f416,plain,
    ( ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f415,f134,f245,f241,f237]) ).

fof(f418,plain,
    ( $false
    | ~ spl0_8
    | spl0_30 ),
    inference(resolution,[],[f264,f141]) ).

fof(f420,plain,
    ( ~ spl0_8
    | spl0_30 ),
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f421,plain,
    ( $false
    | ~ spl0_5
    | spl0_23 ),
    inference(resolution,[],[f132,f234]) ).

fof(f422,plain,
    ( $false
    | ~ spl0_5
    | spl0_22 ),
    inference(resolution,[],[f132,f230]) ).

fof(f423,plain,
    ( ~ has_job(thelma,operator)
    | ~ has_job(pete,operator)
    | ~ has_job(roberta,operator)
    | ~ spl0_5 ),
    inference(resolution,[],[f132,f109]) ).

fof(f424,plain,
    ( ~ spl0_5
    | spl0_22 ),
    inference(avatar_contradiction_clause,[],[f422]) ).

fof(f425,plain,
    ( ~ spl0_5
    | spl0_23 ),
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f426,plain,
    ( ~ spl0_21
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f423,f131,f232,f228,f224]) ).

fof(f427,plain,
    ( $false
    | ~ spl0_3
    | spl0_12 ),
    inference(resolution,[],[f126,f187]) ).

fof(f428,plain,
    ( $false
    | ~ spl0_3
    | spl0_11 ),
    inference(resolution,[],[f126,f183]) ).

fof(f429,plain,
    ( ~ has_job(thelma,teacher)
    | ~ has_job(pete,teacher)
    | ~ has_job(roberta,teacher)
    | ~ spl0_3 ),
    inference(resolution,[],[f126,f109]) ).

fof(f430,plain,
    ( ~ spl0_3
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f428]) ).

fof(f431,plain,
    ( ~ spl0_3
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f432,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f429,f125,f185,f181,f177]) ).

fof(f434,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f300,f111]) ).

fof(f435,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f434]) ).

fof(f437,plain,
    ( $false
    | ~ spl0_7
    | spl0_36 ),
    inference(resolution,[],[f369,f138]) ).

fof(f439,plain,
    ( ~ spl0_7
    | spl0_36 ),
    inference(avatar_contradiction_clause,[],[f437]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f142]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f201]) ).

cnf(s8,plain,
    ( ~ spl0_27
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s10,plain,
    ( ~ spl0_2
    | spl0_13 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s11,plain,
    ( ~ spl0_2
    | spl0_14 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s12,plain,
    ( ~ spl0_2
    | spl0_15 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s13,plain,
    spl0_27,
    inference(sat_conversion,[],[f284]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_10 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s20,plain,
    ( ~ spl0_5
    | spl0_21 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s22,plain,
    spl0_26,
    inference(sat_conversion,[],[f322]) ).

cnf(s23,plain,
    spl0_24,
    inference(sat_conversion,[],[f323]) ).

cnf(s24,plain,
    ( ~ spl0_1
    | ~ spl0_32
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s26,plain,
    spl0_32,
    inference(sat_conversion,[],[f341]) ).

cnf(s29,plain,
    ( ~ spl0_1
    | spl0_33 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s30,plain,
    ( ~ spl0_4
    | spl0_18 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s31,plain,
    ( ~ spl0_4
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s32,plain,
    spl0_16,
    inference(sat_conversion,[],[f360]) ).

cnf(s33,plain,
    ( ~ spl0_7
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s34,plain,
    ( ~ spl0_7
    | spl0_35 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s35,plain,
    ( ~ spl0_1
    | spl0_34 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s38,plain,
    spl0_25,
    inference(sat_conversion,[],[f403]) ).

cnf(s40,plain,
    spl0_28,
    inference(sat_conversion,[],[f407]) ).

cnf(s41,plain,
    ( ~ spl0_7
    | spl0_37 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s42,plain,
    ( ~ spl0_8
    | spl0_29 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s43,plain,
    ( ~ spl0_6
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s44,plain,
    ( ~ spl0_8
    | spl0_30 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s45,plain,
    ( ~ spl0_5
    | spl0_22 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s46,plain,
    ( ~ spl0_5
    | spl0_23 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s47,plain,
    ( ~ spl0_5
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_11 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_12 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s51,plain,
    spl0_17,
    inference(sat_conversion,[],[f435]) ).

cnf(s52,plain,
    ( ~ spl0_7
    | spl0_36 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s53,plain,
    ( ~ spl0_4
    | ~ spl0_18 ),
    inference(rat,[],[s31,s51,s32]) ).

cnf(s54,plain,
    ( ~ spl0_1
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(rat,[],[s24,s26]) ).

cnf(s55,plain,
    ~ spl0_6,
    inference(rat,[],[s43,s23,s38,s22]) ).

cnf(s58,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(rat,[],[s8,s40,s13]) ).

cnf(s60,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_7
    | spl0_8 ),
    inference(rat,[],[s1,s55]) ).

cnf(s61,plain,
    ~ spl0_8,
    inference(rat,[],[s58,s42,s44]) ).

cnf(s62,plain,
    ~ spl0_7,
    inference(rat,[],[s33,s34,s41,s52]) ).

cnf(s63,plain,
    ~ spl0_5,
    inference(rat,[],[s47,s20,s45,s46]) ).

cnf(s64,plain,
    ~ spl0_4,
    inference(rat,[],[s30,s53]) ).

cnf(s65,plain,
    ~ spl0_3,
    inference(rat,[],[s50,s14,s48,s49]) ).

cnf(s66,plain,
    ~ spl0_2,
    inference(rat,[],[s3,s10,s11,s12]) ).

cnf(s67,plain,
    spl0_1,
    inference(rat,[],[s60,s63,s64,s62,s61,s65,s66]) ).

cnf(s68,plain,
    spl0_34,
    inference(rat,[],[s35,s67]) ).

cnf(s69,plain,
    spl0_33,
    inference(rat,[],[s29,s67]) ).

cnf(s70,plain,
    $false,
    inference(rat,[],[s54,s68,s69,s67]) ).

fof(f440,plain,
    $false,
    inference(avatar_sat_refutation,[],[s70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ019-1 : TPTP v9.3.1. Bugfixed v5.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n007.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 22:28:10 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45  % (1835031)Will run a generic schedule for satisfiability detection.
% 0.11/0.45  % (1835037)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1431294765_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45  % Detected minimum model sizes of [1]
% 0.11/0.45  % Detected maximum model sizes of [12]
% 0.11/0.45  % TRYING [1]
% 0.11/0.45  % TRYING [2]
% 0.11/0.45  % TRYING [3]
% 0.11/0.45  % TRYING [4]
% 0.11/0.45  % TRYING [5]
% 0.11/0.45  % (1835038)% WARNING: option uhcvi not known.
% 0.11/0.45  % TRYING [6]
% 0.11/0.45  % (1835043)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=652253696:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45  % TRYING [7]
% 0.11/0.45  % (1835038)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2290871427:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45  % TRYING [8]
% 0.11/0.45  % (1835039)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=318386317:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45  % (1835043) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1835031-1835043"...
% 0.11/0.45  % (1835038) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1835031-1835038"...
% 0.11/0.45  % (1835042)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1216173460:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45  % (1835040)dis+10_1_sil=32000:sp=arity:random_seed=1844313510:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45  % (1835043)...printing done.
% 0.11/0.45  % (1835037) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1835031-1835037"...
% 0.11/0.45  % (1835043)Refutation found. Thanks to Tanya!
% 0.11/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45  % (1835043)------------------------------
% 0.11/0.45  % (1835043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45  % (1835043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45  % (1835043)CaDiCaL version: 2.1.3
% 0.11/0.45  % (1835043)Termination reason: Refutation
% 0.11/0.45  % (1835043)Time elapsed: 0.008 s
% 0.11/0.45  % (1835043)Peak memory usage: 12 MB
% 0.11/0.45  % (1835043)Instructions burned: 10 (million)
% 0.11/0.45  % (1835031)Success in time 0.041 s
% 0.11/0.45  % Vampire exiting
%------------------------------------------------------------------------------