TSTP Solution File: PUZ132+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Fri May  3 02:54:57 EDT 2024

% Result   : Theorem 0.60s 0.99s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   35 (  12 unt;   0 def)
%            Number of atoms       :   58 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   47 (  24   ~;  16   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 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   :   16 (   0 sgn  11   !;   0   ?)

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

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

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

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

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

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

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

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

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

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

fof(f15,plain,
    ! [X0] :
      ( city(X0)
      | ~ capital(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f17,plain,
    ! [X0] :
      ( has_crime(X0)
      | ~ city(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f18,plain,
    ! [X0] :
      ( beautiful(capital_city(X0))
      | ~ country(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f19,plain,
    ( ~ has_crime(washington)
    | ~ beautiful(washington) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f28,plain,
    ! [X0] :
      ( city(X0)
      | ~ capital(X0) ),
    inference(cnf_transformation,[],[f15]) ).

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

fof(f31,plain,
    country(usa),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ! [X0] :
      ( has_crime(X0)
      | ~ city(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f34,plain,
    washington = capital_city(usa),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    ! [X0] :
      ( beautiful(capital_city(X0))
      | ~ country(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f36,plain,
    ( ~ has_crime(washington)
    | ~ beautiful(washington) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_51,plain,
    ( ~ capital(X0)
    | city(X0) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_53,plain,
    capital(washington),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_54,plain,
    country(usa),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_56,plain,
    ( ~ city(X0)
    | has_crime(X0) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_57,plain,
    capital_city(usa) = washington,
    inference(cnf_transformation,[],[f34]) ).

cnf(c_58,plain,
    ( ~ country(X0)
    | beautiful(capital_city(X0)) ),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_59,negated_conjecture,
    ( ~ has_crime(washington)
    | ~ beautiful(washington) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_60,plain,
    ( ~ city(washington)
    | has_crime(washington) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_61,plain,
    ( ~ capital(washington)
    | city(washington) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_64,negated_conjecture,
    ~ beautiful(washington),
    inference(global_subsumption_just,[status(thm)],[c_59,c_53,c_60,c_61,c_59]) ).

cnf(c_118,plain,
    ( capital_city(X0) != washington
    | ~ country(X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_64]) ).

cnf(c_133,plain,
    ( capital_city(X0) != washington
    | X0 != usa ),
    inference(resolution_lifted,[status(thm)],[c_54,c_118]) ).

cnf(c_134,plain,
    capital_city(usa) != washington,
    inference(unflattening,[status(thm)],[c_133]) ).

cnf(c_135,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_134,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.09  % Command  : run_iprover %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu May  2 21:14:23 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.60/0.99  % SZS status Started for theBenchmark.p
% 0.60/0.99  % SZS status Theorem for theBenchmark.p
% 0.60/0.99  
% 0.60/0.99  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.60/0.99  
% 0.60/0.99  ------  iProver source info
% 0.60/0.99  
% 0.60/0.99  git: date: 2024-05-02 19:28:25 +0000
% 0.60/0.99  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.60/0.99  git: non_committed_changes: false
% 0.60/0.99  
% 0.60/0.99  ------ Parsing...
% 0.60/0.99  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.60/0.99  
% 0.60/0.99  ------ Preprocessing... sup_sim: 0  sf_s  rm: 9 0s  sf_e  pe_s  pe:1:0s
% 0.60/0.99  
% 0.60/0.99  % SZS status Theorem for theBenchmark.p
% 0.60/0.99  
% 0.60/0.99  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.60/0.99  
% 0.60/0.99  
%------------------------------------------------------------------------------