TSTP Solution File: SWB005+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 Aug 31 20:08:59 EDT 2023

% Result   : Theorem 0.89s 1.15s
% Output   : CNFRefutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   54 (  16 unt;   0 def)
%            Number of atoms       :  146 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  167 (  75   ~;  64   |;  19   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   49 (   7 sgn;  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f2,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).

fof(f3,axiom,
    ! [X2] :
      ( iext(uri_rdf_type,X2,uri_rdf_Property)
    <=> ip(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f4,axiom,
    ! [X0,X4] :
      ( iext(uri_rdf_type,X0,X4)
    <=> icext(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f5,axiom,
    ! [X0] :
      ( ir(X0)
    <=> icext(uri_rdfs_Resource,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ir_def) ).

fof(f6,axiom,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f7,axiom,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
    <=> ip(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

fof(f8,conjecture,
    ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(f9,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f10,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    inference(rectify,[],[f2]) ).

fof(f12,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    inference(rectify,[],[f3]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f4]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f15,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f16,plain,
    ! [X0] :
      ( ( iext(uri_rdf_type,X0,uri_rdf_Property)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f18,plain,
    ! [X0] :
      ( ( ir(X0)
        | ~ icext(uri_rdfs_Resource,X0) )
      & ( icext(uri_rdfs_Resource,X0)
        | ~ ir(X0) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X0] :
      ( ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) )
      & ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f20,plain,
    ! [X0] :
      ( ( icext(uri_owl_ObjectProperty,X0)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ icext(uri_owl_ObjectProperty,X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f21,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f24,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f27,plain,
    ! [X0] :
      ( icext(uri_rdfs_Resource,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f30,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f32,plain,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f33,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f34,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_49,plain,
    ir(X0),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_50,plain,
    ( ~ iext(X0,X1,X2)
    | ip(X0) ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_51,plain,
    ( ~ ip(X0)
    | iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_53,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_56,plain,
    ( ~ ir(X0)
    | icext(uri_rdfs_Resource,X0) ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_57,plain,
    ( ~ ir(X0)
    | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_59,plain,
    ( ~ ip(X0)
    | icext(uri_owl_ObjectProperty,X0) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_61,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_62,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_75,plain,
    icext(uri_owl_Thing,X0),
    inference(global_subsumption_just,[status(thm)],[c_57,c_49,c_57]) ).

cnf(c_78,plain,
    icext(uri_rdfs_Resource,X0),
    inference(global_subsumption_just,[status(thm)],[c_56,c_49,c_56]) ).

cnf(c_176,plain,
    ip(uri_ex_p),
    inference(resolution,[status(thm)],[c_50,c_62]) ).

cnf(c_177,plain,
    icext(uri_owl_ObjectProperty,uri_ex_p),
    inference(resolution,[status(thm)],[c_176,c_59]) ).

cnf(c_179,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(resolution,[status(thm)],[c_51,c_176]) ).

cnf(c_180,plain,
    iext(uri_rdf_type,X0,uri_rdfs_Resource),
    inference(resolution,[status(thm)],[c_53,c_78]) ).

cnf(c_182,plain,
    iext(uri_rdf_type,X0,uri_owl_Thing),
    inference(resolution,[status(thm)],[c_53,c_75]) ).

cnf(c_184,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(resolution,[status(thm)],[c_53,c_177]) ).

cnf(c_187,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(resolution,[status(thm)],[c_180,c_61]) ).

cnf(c_190,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_179,c_184,c_187]) ).

cnf(c_191,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(renaming,[status(thm)],[c_190]) ).

cnf(c_192,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(resolution,[status(thm)],[c_191,c_182]) ).

cnf(c_193,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(resolution,[status(thm)],[c_192,c_180]) ).

cnf(c_194,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(resolution,[status(thm)],[c_193,c_182]) ).

cnf(c_195,plain,
    ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing),
    inference(resolution,[status(thm)],[c_194,c_180]) ).

cnf(c_196,plain,
    $false,
    inference(resolution,[status(thm)],[c_195,c_182]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 06:53:24 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.89/1.15  % SZS status Started for theBenchmark.p
% 0.89/1.15  % SZS status Theorem for theBenchmark.p
% 0.89/1.15  
% 0.89/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.89/1.15  
% 0.89/1.15  ------  iProver source info
% 0.89/1.15  
% 0.89/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.89/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.89/1.15  git: non_committed_changes: false
% 0.89/1.15  git: last_make_outside_of_git: false
% 0.89/1.15  
% 0.89/1.15  ------ Parsing...
% 0.89/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.89/1.15  
% 0.89/1.15  
% 0.89/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.89/1.15  
% 0.89/1.15  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.89/1.15   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.89/1.15  ------ Proving...
% 0.89/1.15  ------ Problem Properties 
% 0.89/1.15  
% 0.89/1.15  
% 0.89/1.15  clauses                                 11
% 0.89/1.15  conjectures                             1
% 0.89/1.15  EPR                                     11
% 0.89/1.15  Horn                                    11
% 0.89/1.15  unary                                   3
% 0.89/1.15  binary                                  7
% 0.89/1.15  lits                                    25
% 0.89/1.15  lits eq                                 0
% 0.89/1.15  fd_pure                                 0
% 0.89/1.15  fd_pseudo                               0
% 0.89/1.15  fd_cond                                 0
% 0.89/1.15  fd_pseudo_cond                          0
% 0.89/1.15  AC symbols                              0
% 0.89/1.15  
% 0.89/1.15  ------ Schedule EPR Horn non eq is on
% 0.89/1.15  
% 0.89/1.15  ------ no equalities: superposition off 
% 0.89/1.15  
% 0.89/1.15  ------ Option_epr_horn Time Limit: Unbounded
% 0.89/1.15  
% 0.89/1.15  
% 0.89/1.15  ------ 
% 0.89/1.15  Current options:
% 0.89/1.15  ------ 
% 0.89/1.15  
% 0.89/1.15  
% 0.89/1.15  
% 0.89/1.15  
% 0.89/1.15  ------ Proving...
% 0.89/1.15  
% 0.89/1.15  
% 0.89/1.15  % SZS status Theorem for theBenchmark.p
% 0.89/1.15  
% 0.89/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.89/1.15  
% 0.89/1.15  
%------------------------------------------------------------------------------