TSTP Solution File: PUZ132+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ132+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n021.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 18:11:23 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   35 (  10 unt;   0 def)
%            Number of atoms       :   60 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   43 (  18   ~;  16   |;   2   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f54,plain,
    $false,
    inference(avatar_sat_refutation,[],[f45,f49,f53]) ).

fof(f53,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f52]) ).

fof(f52,plain,
    ( $false
    | spl3_2 ),
    inference(subsumption_resolution,[],[f51,f44]) ).

fof(f44,plain,
    ( ~ beautiful(washington)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl3_2
  <=> beautiful(washington) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f51,plain,
    beautiful(washington),
    inference(subsumption_resolution,[],[f50,f34]) ).

fof(f34,plain,
    country(usa),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    country(usa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',usa_type) ).

fof(f50,plain,
    ( ~ country(usa)
    | beautiful(washington) ),
    inference(superposition,[],[f28,f32]) ).

fof(f32,plain,
    washington = capital_city(usa),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    washington = capital_city(usa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',usa_capital_axiom) ).

fof(f28,plain,
    ! [X0] :
      ( beautiful(capital_city(X0))
      | ~ country(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( beautiful(capital_city(X0))
      | ~ country(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( country(X0)
     => beautiful(capital_city(X0)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1] :
      ( country(X1)
     => beautiful(capital_city(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',beautiful_capital_axiom) ).

fof(f49,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f48]) ).

fof(f48,plain,
    ( $false
    | spl3_1 ),
    inference(subsumption_resolution,[],[f47,f30]) ).

fof(f30,plain,
    capital(washington),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    capital(washington),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',washington_type) ).

fof(f47,plain,
    ( ~ capital(washington)
    | spl3_1 ),
    inference(resolution,[],[f33,f46]) ).

fof(f46,plain,
    ( ~ city(washington)
    | spl3_1 ),
    inference(resolution,[],[f31,f40]) ).

fof(f40,plain,
    ( ~ has_crime(washington)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl3_1
  <=> has_crime(washington) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f31,plain,
    ! [X0] :
      ( has_crime(X0)
      | ~ city(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ city(X0)
      | has_crime(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( city(X0)
     => has_crime(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1] :
      ( city(X1)
     => has_crime(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',crime_axiom) ).

fof(f33,plain,
    ! [X0] :
      ( city(X0)
      | ~ capital(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ capital(X0)
      | city(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( capital(X0)
     => city(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',capital_city_type) ).

fof(f45,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f35,f42,f38]) ).

fof(f35,plain,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ( beautiful(washington)
      & has_crime(washington) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ( beautiful(washington)
    & has_crime(washington) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',washington_conjecture) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : PUZ132+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 10:50:56 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.44  % (19844)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.44  % (19844)First to succeed.
% 0.20/0.45  % (19844)Refutation found. Thanks to Tanya!
% 0.20/0.45  % SZS status Theorem for theBenchmark
% 0.20/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45  % (19844)------------------------------
% 0.20/0.45  % (19844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45  % (19844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45  % (19844)Termination reason: Refutation
% 0.20/0.45  
% 0.20/0.45  % (19844)Memory used [KB]: 5884
% 0.20/0.45  % (19844)Time elapsed: 0.065 s
% 0.20/0.45  % (19844)Instructions burned: 1 (million)
% 0.20/0.45  % (19844)------------------------------
% 0.20/0.45  % (19844)------------------------------
% 0.20/0.45  % (19843)Success in time 0.104 s
%------------------------------------------------------------------------------