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

View Problem - Process Solution

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

% Computer : n004.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 18:12:10 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (  12 unt;   0 def)
%            Number of atoms       :   50 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   36 (  17   ~;  12   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f41]) ).

fof(f41,plain,
    ~ capital(washington),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f31,plain,
    capital(washington),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f48,plain,
    capital(washington),
    inference(resolution,[],[f46,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( city(X0)
      | capital(X0) ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( city(X0)
      | ~ capital(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( city(X0)
      | ~ capital(X0) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f46,plain,
    ~ city(washington),
    inference(resolution,[],[f45,f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ has_crime(X0)
      | ~ city(X0) ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ city(X0)
      | has_crime(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( has_crime(X0)
      | ~ city(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(f45,plain,
    has_crime(washington),
    inference(resolution,[],[f44,f40]) ).

fof(f40,plain,
    ( ~ beautiful(washington)
    | has_crime(washington) ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f32,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,
    ~ ( has_crime(washington)
      & beautiful(washington) ),
    inference(negated_conjecture,[],[f11]) ).

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

fof(f44,plain,
    beautiful(washington),
    inference(subsumption_resolution,[],[f43,f29]) ).

fof(f29,plain,
    country(usa),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f43,plain,
    ( ~ country(usa)
    | beautiful(washington) ),
    inference(superposition,[],[f34,f28]) ).

fof(f28,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(f34,plain,
    ! [X0] :
      ( beautiful(capital_city(X0))
      | ~ country(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ132+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n004.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 10:51:04 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (5147)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.49  % (5128)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 (3000ds/191324Mi)
% 0.19/0.49  % (5135)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.49  % (5139)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.49  % (5147)First to succeed.
% 0.19/0.50  % (5147)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (5147)------------------------------
% 0.19/0.50  % (5147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (5147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (5147)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (5147)Memory used [KB]: 895
% 0.19/0.50  % (5147)Time elapsed: 0.097 s
% 0.19/0.50  % (5147)Instructions burned: 2 (million)
% 0.19/0.50  % (5147)------------------------------
% 0.19/0.50  % (5147)------------------------------
% 0.19/0.50  % (5127)Success in time 0.152 s
%------------------------------------------------------------------------------