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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ019-1 : TPTP v8.1.2. Bugfixed v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 14:44:55 EDT 2024

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   62 (  11 unt;   0 def)
%            Number of atoms       :  151 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  163 (  74   ~;  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(f208,plain,
    $false,
    inference(avatar_sat_refutation,[],[f89,f159,f177,f182,f187,f192,f197,f202,f207]) ).

fof(f207,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f206]) ).

fof(f206,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f205,f57]) ).

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

fof(f205,plain,
    ( has_job(roberta,chef)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f204,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(f204,plain,
    ( has_job(pete,chef)
    | has_job(roberta,chef)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f203,f67]) ).

fof(f203,plain,
    ( has_job(thelma,chef)
    | has_job(pete,chef)
    | has_job(roberta,chef)
    | ~ spl0_1 ),
    inference(resolution,[],[f67,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/benchmark/theBenchmark.p',every_job_is_used) ).

fof(f202,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f201]) ).

fof(f201,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f200,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(f200,plain,
    ( has_job(roberta,guard)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f199,f88]) ).

fof(f199,plain,
    ( has_job(pete,guard)
    | has_job(roberta,guard)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f198,f88]) ).

fof(f198,plain,
    ( has_job(thelma,guard)
    | has_job(pete,guard)
    | has_job(roberta,guard)
    | ~ spl0_8 ),
    inference(resolution,[],[f88,f54]) ).

fof(f197,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f196]) ).

fof(f196,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f195,f58]) ).

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

fof(f195,plain,
    ( has_job(roberta,boxer)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f194,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(f194,plain,
    ( has_job(pete,boxer)
    | has_job(roberta,boxer)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f193,f85]) ).

fof(f193,plain,
    ( has_job(thelma,boxer)
    | has_job(pete,boxer)
    | has_job(roberta,boxer)
    | ~ spl0_7 ),
    inference(resolution,[],[f85,f54]) ).

fof(f192,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f191]) ).

fof(f191,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f190,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(f190,plain,
    ( has_job(roberta,actor)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f189,f82]) ).

fof(f189,plain,
    ( has_job(pete,actor)
    | has_job(roberta,actor)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f188,f82]) ).

fof(f188,plain,
    ( has_job(thelma,actor)
    | has_job(pete,actor)
    | has_job(roberta,actor)
    | ~ spl0_6 ),
    inference(resolution,[],[f82,f54]) ).

fof(f187,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f186]) ).

fof(f186,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f185,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(f185,plain,
    ( has_job(roberta,teacher)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f184,f79]) ).

fof(f184,plain,
    ( has_job(pete,teacher)
    | has_job(roberta,teacher)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f183,f79]) ).

fof(f183,plain,
    ( has_job(thelma,teacher)
    | has_job(pete,teacher)
    | has_job(roberta,teacher)
    | ~ spl0_5 ),
    inference(resolution,[],[f79,f54]) ).

fof(f182,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f181,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f180,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(f180,plain,
    ( has_job(roberta,operator)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f179,f76]) ).

fof(f179,plain,
    ( has_job(pete,operator)
    | has_job(roberta,operator)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f178,f76]) ).

fof(f178,plain,
    ( has_job(thelma,operator)
    | has_job(pete,operator)
    | has_job(roberta,operator)
    | ~ spl0_4 ),
    inference(resolution,[],[f76,f54]) ).

fof(f177,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f176]) ).

fof(f176,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f175,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(f175,plain,
    ( has_job(roberta,nurse)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f174,f73]) ).

fof(f174,plain,
    ( has_job(pete,nurse)
    | has_job(roberta,nurse)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f173,f73]) ).

fof(f173,plain,
    ( has_job(thelma,nurse)
    | has_job(pete,nurse)
    | has_job(roberta,nurse)
    | ~ spl0_3 ),
    inference(resolution,[],[f73,f54]) ).

fof(f159,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f158]) ).

fof(f158,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f157,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(f157,plain,
    ( has_job(roberta,police)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f156,f70]) ).

fof(f156,plain,
    ( has_job(pete,police)
    | has_job(roberta,police)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f101,f70]) ).

fof(f101,plain,
    ( has_job(thelma,police)
    | has_job(pete,police)
    | has_job(roberta,police)
    | ~ spl0_2 ),
    inference(resolution,[],[f54,f70]) ).

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/benchmark/theBenchmark.p',find_who_has_each_job) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : PUZ019-1 : TPTP v8.1.2. Bugfixed v5.1.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 01:54:58 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (28862)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (28863)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38  Detected minimum model sizes of [1]
% 0.21/0.38  Detected maximum model sizes of [12]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.39  % (28864)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39  % (28865)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)
% 0.21/0.39  % (28867)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39  % (28868)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39  % (28869)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)
% 0.21/0.39  % (28866)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39  TRYING [5]
% 0.21/0.39  Detected minimum model sizes of [1]
% 0.21/0.39  Detected maximum model sizes of [12]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  % (28868)First to succeed.
% 0.21/0.39  TRYING [2]
% 0.21/0.39  Detected minimum model sizes of [1,1]
% 0.21/0.39  Detected maximum model sizes of [8,8]
% 0.21/0.39  Detected minimum model sizes of [1,1]
% 0.21/0.39  Detected maximum model sizes of [8,8]
% 0.21/0.39  TRYING [1,1]
% 0.21/0.39  TRYING [1,1]
% 0.21/0.39  TRYING [2,2]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [2,2]
% 0.21/0.39  % (28867)Also succeeded, but the first one will report.
% 0.21/0.39  % (28868)Refutation found. Thanks to Tanya!
% 0.21/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39  % (28868)------------------------------
% 0.21/0.39  % (28868)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39  % (28868)Termination reason: Refutation
% 0.21/0.39  
% 0.21/0.39  % (28868)Memory used [KB]: 854
% 0.21/0.39  % (28868)Time elapsed: 0.005 s
% 0.21/0.39  % (28868)Instructions burned: 5 (million)
% 0.21/0.39  % (28868)------------------------------
% 0.21/0.39  % (28868)------------------------------
% 0.21/0.39  % (28862)Success in time 0.028 s
%------------------------------------------------------------------------------