TSTP Solution File: PUZ132+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 May  9 17:37:50 EDT 2024

% Result   : Theorem 0.21s 0.60s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   49 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  18   ~;  14   |;   2   &)
%                                         (   0 <=>;   3  =>;   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   :   14 (   0 sgn   9   !;   0   ?)

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

fof(c13,plain,
    ! [X] :
      ( ~ city(X)
      | has_crime(X) ),
    inference(fof_nnf,[status(thm)],[crime_axiom]) ).

fof(c14,plain,
    ! [X3] :
      ( ~ city(X3)
      | has_crime(X3) ),
    inference(variable_rename,[status(thm)],[c13]) ).

cnf(c15,plain,
    ( ~ city(X13)
    | has_crime(X13) ),
    inference(split_conjunct,[status(thm)],[c14]) ).

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

cnf(c20,plain,
    capital(washington),
    inference(split_conjunct,[status(thm)],[washington_type]) ).

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

fof(c24,plain,
    ! [A] :
      ( ~ capital(A)
      | city(A) ),
    inference(fof_nnf,[status(thm)],[capital_city_type]) ).

fof(c25,plain,
    ! [X6] :
      ( ~ capital(X6)
      | city(X6) ),
    inference(variable_rename,[status(thm)],[c24]) ).

cnf(c26,plain,
    ( ~ capital(X14)
    | city(X14) ),
    inference(split_conjunct,[status(thm)],[c25]) ).

cnf(c35,plain,
    city(washington),
    inference(resolution,[status(thm)],[c26,c20]) ).

cnf(c39,plain,
    has_crime(washington),
    inference(resolution,[status(thm)],[c35,c15]) ).

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

fof(c6,negated_conjecture,
    ~ ( beautiful(washington)
      & has_crime(washington) ),
    inference(assume_negation,[status(cth)],[washington_conjecture]) ).

fof(c7,negated_conjecture,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(fof_nnf,[status(thm)],[c6]) ).

cnf(c8,negated_conjecture,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(split_conjunct,[status(thm)],[c7]) ).

cnf(c41,plain,
    ~ beautiful(washington),
    inference(resolution,[status(thm)],[c8,c39]) ).

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

cnf(c19,plain,
    country(usa),
    inference(split_conjunct,[status(thm)],[usa_type]) ).

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

fof(c9,plain,
    ! [X] :
      ( ~ country(X)
      | beautiful(capital_city(X)) ),
    inference(fof_nnf,[status(thm)],[beautiful_capital_axiom]) ).

fof(c10,plain,
    ! [X2] :
      ( ~ country(X2)
      | beautiful(capital_city(X2)) ),
    inference(variable_rename,[status(thm)],[c9]) ).

cnf(c11,plain,
    ( ~ country(X20)
    | beautiful(capital_city(X20)) ),
    inference(split_conjunct,[status(thm)],[c10]) ).

cnf(c43,plain,
    beautiful(capital_city(usa)),
    inference(resolution,[status(thm)],[c11,c19]) ).

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

cnf(c12,plain,
    capital_city(usa) = washington,
    inference(split_conjunct,[status(thm)],[usa_capital_axiom]) ).

cnf(c5,axiom,
    ( X38 != X39
    | ~ beautiful(X38)
    | beautiful(X39) ),
    theory(equality) ).

cnf(c71,plain,
    ( ~ beautiful(capital_city(usa))
    | beautiful(washington) ),
    inference(resolution,[status(thm)],[c5,c12]) ).

cnf(c82,plain,
    beautiful(washington),
    inference(resolution,[status(thm)],[c71,c43]) ).

cnf(c91,plain,
    $false,
    inference(resolution,[status(thm)],[c82,c41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n015.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 : Wed May  8 20:46:38 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.60  % Version:  1.5
% 0.21/0.60  % SZS status Theorem
% 0.21/0.60  % SZS output start CNFRefutation
% See solution above
% 0.21/0.60  
% 0.21/0.60  % Initial clauses    : 20
% 0.21/0.60  % Processed clauses  : 42
% 0.21/0.60  % Factors computed   : 1
% 0.21/0.60  % Resolvents computed: 58
% 0.21/0.60  % Tautologies deleted: 7
% 0.21/0.60  % Forward subsumed   : 12
% 0.21/0.60  % Backward subsumed  : 2
% 0.21/0.60  % -------- CPU Time ---------
% 0.21/0.60  % User time          : 0.223 s
% 0.21/0.60  % System time        : 0.016 s
% 0.21/0.60  % Total time         : 0.239 s
%------------------------------------------------------------------------------