TSTP Solution File: PUZ019-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ019-1 : TPTP v8.1.2. Bugfixed v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n022.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 : Thu Aug 31 13:24:36 EDT 2023

% Result   : Unsatisfiable 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   63 (  12 unt;   0 def)
%            Number of atoms       :  152 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  164 (  75   ~;  81   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   9 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   25 (;  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f373,plain,
    $false,
    inference(avatar_sat_refutation,[],[f89,f185,f212,f263,f273,f278,f283,f346,f370]) ).

fof(f370,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f369]) ).

fof(f369,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f368,f73]) ).

fof(f73,plain,
    ( ! [X6] : ~ has_job(X6,nurse)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl0_3
  <=> ! [X6] : ~ has_job(X6,nurse) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f368,plain,
    ( has_job(roberta,nurse)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f367,f73]) ).

fof(f367,plain,
    ( has_job(pete,nurse)
    | has_job(roberta,nurse)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f351,f73]) ).

fof(f351,plain,
    ( has_job(thelma,nurse)
    | has_job(pete,nurse)
    | has_job(roberta,nurse)
    | ~ spl0_3 ),
    inference(resolution,[],[f73,f54]) ).

fof(f54,axiom,
    ! [X0] :
      ( has_job(steve,X0)
      | has_job(thelma,X0)
      | has_job(pete,X0)
      | has_job(roberta,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KFNZhCnHbd/Vampire---4.8_31549',every_job_is_used) ).

fof(f346,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f345,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f344,f79]) ).

fof(f79,plain,
    ( ! [X9] : ~ has_job(X9,teacher)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl0_5
  <=> ! [X9] : ~ has_job(X9,teacher) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f344,plain,
    ( has_job(roberta,teacher)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f343,f79]) ).

fof(f343,plain,
    ( has_job(pete,teacher)
    | has_job(roberta,teacher)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f284,f79]) ).

fof(f284,plain,
    ( has_job(thelma,teacher)
    | has_job(pete,teacher)
    | has_job(roberta,teacher)
    | ~ spl0_5 ),
    inference(resolution,[],[f79,f54]) ).

fof(f283,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f282]) ).

fof(f282,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f281,f88]) ).

fof(f88,plain,
    ( ! [X5] : ~ has_job(X5,guard)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl0_8
  <=> ! [X5] : ~ has_job(X5,guard) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f281,plain,
    ( has_job(roberta,guard)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f280,f88]) ).

fof(f280,plain,
    ( has_job(pete,guard)
    | has_job(roberta,guard)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f279,f88]) ).

fof(f279,plain,
    ( has_job(thelma,guard)
    | has_job(pete,guard)
    | has_job(roberta,guard)
    | ~ spl0_8 ),
    inference(resolution,[],[f88,f54]) ).

fof(f278,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f277]) ).

fof(f277,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f276,f58]) ).

fof(f58,axiom,
    ~ has_job(roberta,boxer),
    file('/export/starexec/sandbox/tmp/tmp.KFNZhCnHbd/Vampire---4.8_31549',roberta_is_not_boxer) ).

fof(f276,plain,
    ( has_job(roberta,boxer)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f275,f85]) ).

fof(f85,plain,
    ( ! [X11] : ~ has_job(X11,boxer)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_7
  <=> ! [X11] : ~ has_job(X11,boxer) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f275,plain,
    ( has_job(pete,boxer)
    | has_job(roberta,boxer)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f274,f85]) ).

fof(f274,plain,
    ( has_job(thelma,boxer)
    | has_job(pete,boxer)
    | has_job(roberta,boxer)
    | ~ spl0_7 ),
    inference(resolution,[],[f85,f54]) ).

fof(f273,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f272]) ).

fof(f272,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f271,f82]) ).

fof(f82,plain,
    ( ! [X10] : ~ has_job(X10,actor)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_6
  <=> ! [X10] : ~ has_job(X10,actor) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f271,plain,
    ( has_job(roberta,actor)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f270,f82]) ).

fof(f270,plain,
    ( has_job(pete,actor)
    | has_job(roberta,actor)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f269,f82]) ).

fof(f269,plain,
    ( has_job(thelma,actor)
    | has_job(pete,actor)
    | has_job(roberta,actor)
    | ~ spl0_6 ),
    inference(resolution,[],[f82,f54]) ).

fof(f263,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f261,f76]) ).

fof(f76,plain,
    ( ! [X7] : ~ has_job(X7,operator)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl0_4
  <=> ! [X7] : ~ has_job(X7,operator) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f261,plain,
    ( has_job(roberta,operator)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f260,f76]) ).

fof(f260,plain,
    ( has_job(pete,operator)
    | has_job(roberta,operator)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f259,f76]) ).

fof(f259,plain,
    ( has_job(thelma,operator)
    | has_job(pete,operator)
    | has_job(roberta,operator)
    | ~ spl0_4 ),
    inference(resolution,[],[f76,f54]) ).

fof(f212,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f211]) ).

fof(f211,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f210,f59]) ).

fof(f59,axiom,
    ~ has_job(roberta,police),
    file('/export/starexec/sandbox/tmp/tmp.KFNZhCnHbd/Vampire---4.8_31549',roberta_is_not_police) ).

fof(f210,plain,
    ( has_job(roberta,police)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f209,f70]) ).

fof(f70,plain,
    ( ! [X8] : ~ has_job(X8,police)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_2
  <=> ! [X8] : ~ has_job(X8,police) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f209,plain,
    ( has_job(pete,police)
    | has_job(roberta,police)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f179,f70]) ).

fof(f179,plain,
    ( has_job(thelma,police)
    | has_job(pete,police)
    | has_job(roberta,police)
    | ~ spl0_2 ),
    inference(resolution,[],[f54,f70]) ).

fof(f185,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f184]) ).

fof(f184,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f183,f57]) ).

fof(f57,axiom,
    ~ has_job(roberta,chef),
    file('/export/starexec/sandbox/tmp/tmp.KFNZhCnHbd/Vampire---4.8_31549',roberta_is_not_chef) ).

fof(f183,plain,
    ( has_job(roberta,chef)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f182,f67]) ).

fof(f67,plain,
    ( ! [X4] : ~ has_job(X4,chef)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl0_1
  <=> ! [X4] : ~ has_job(X4,chef) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f182,plain,
    ( has_job(pete,chef)
    | has_job(roberta,chef)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f173,f67]) ).

fof(f173,plain,
    ( has_job(thelma,chef)
    | has_job(pete,chef)
    | has_job(roberta,chef)
    | ~ spl0_1 ),
    inference(resolution,[],[f54,f67]) ).

fof(f89,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f64,f87,f84,f81,f78,f75,f72,f69,f66]) ).

fof(f64,axiom,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( ~ has_job(X5,guard)
      | ~ has_job(X11,boxer)
      | ~ has_job(X10,actor)
      | ~ has_job(X9,teacher)
      | ~ has_job(X7,operator)
      | ~ has_job(X6,nurse)
      | ~ has_job(X8,police)
      | ~ has_job(X4,chef) ),
    file('/export/starexec/sandbox/tmp/tmp.KFNZhCnHbd/Vampire---4.8_31549',find_who_has_each_job) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ019-1 : TPTP v8.1.2. Bugfixed v5.1.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 22:18:55 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.KFNZhCnHbd/Vampire---4.8_31549
% 0.15/0.37  % (31816)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (31824)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.43  % (31822)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43  % (31820)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.43  % (31819)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.43  % (31818)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.44  % (31823)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.44  % (31822)First to succeed.
% 0.22/0.44  % (31823)Also succeeded, but the first one will report.
% 0.22/0.44  % (31822)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44  % (31822)------------------------------
% 0.22/0.44  % (31822)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44  % (31822)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44  % (31822)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (31822)Memory used [KB]: 5628
% 0.22/0.44  % (31822)Time elapsed: 0.008 s
% 0.22/0.44  % (31822)------------------------------
% 0.22/0.44  % (31822)------------------------------
% 0.22/0.44  % (31816)Success in time 0.069 s
% 0.22/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------