TSTP Solution File: SWB054+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB054+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 20:09:34 EDT 2023

% Result   : Theorem 17.87s 3.16s
% Output   : CNFRefutation 17.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   47 (  20 unt;   0 def)
%            Number of atoms       :  128 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  130 (  49   ~;  42   |;  27   &)
%                                         (   9 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (   2 sgn;  44   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X3] : ir(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f119,axiom,
    ! [X3] :
      ( icext(uri_owl_Class,X3)
    <=> ic(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

fof(f163,axiom,
    ! [X3] :
      ( icext(uri_owl_Thing,X3)
    <=> ir(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f164,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).

fof(f343,axiom,
    ! [X12,X14] :
      ( iext(uri_rdfs_subClassOf,X12,X14)
    <=> ( ! [X3] :
            ( icext(X12,X3)
           => icext(X14,X3) )
        & ic(X14)
        & ic(X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_class_thing_term) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_class_thing_term) ).

fof(f562,plain,
    ! [X0] : ir(X0),
    inference(rectify,[],[f2]) ).

fof(f565,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f611,plain,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
    <=> ic(X0) ),
    inference(rectify,[],[f119]) ).

fof(f633,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    inference(rectify,[],[f163]) ).

fof(f754,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f343]) ).

fof(f920,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(flattening,[],[f560]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f754]) ).

fof(f1409,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f565]) ).

fof(f1425,plain,
    ! [X0] :
      ( ( icext(uri_owl_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f611]) ).

fof(f1436,plain,
    ! [X0] :
      ( ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) )
      & ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) ) ),
    inference(nnf_transformation,[],[f633]) ).

fof(f1719,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f1139]) ).

fof(f1720,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f1719]) ).

fof(f1721,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f1720]) ).

fof(f1722,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X1,X2)
          & icext(X0,X2) )
     => ( ~ icext(X1,sK167(X0,X1))
        & icext(X0,sK167(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1723,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ( ~ icext(X1,sK167(X0,X1))
          & icext(X0,sK167(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK167])],[f1721,f1722]) ).

fof(f1920,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f562]) ).

fof(f1944,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1409]) ).

fof(f2060,plain,
    ! [X0] :
      ( ic(X0)
      | ~ icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[],[f1425]) ).

fof(f2116,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f1436]) ).

fof(f2117,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f164]) ).

fof(f2773,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X1,sK167(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f1723]) ).

fof(f3208,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(cnf_transformation,[],[f920]) ).

fof(f3209,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_50,plain,
    ir(X0),
    inference(cnf_transformation,[],[f1920]) ).

cnf(c_75,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf_transformation,[],[f1944]) ).

cnf(c_191,plain,
    ( ~ icext(uri_owl_Class,X0)
    | ic(X0) ),
    inference(cnf_transformation,[],[f2060]) ).

cnf(c_245,plain,
    ( ~ ir(X0)
    | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[],[f2116]) ).

cnf(c_247,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f2117]) ).

cnf(c_899,plain,
    ( ~ icext(X0,sK167(X1,X0))
    | ~ ic(X0)
    | ~ ic(X1)
    | iext(uri_rdfs_subClassOf,X1,X0) ),
    inference(cnf_transformation,[],[f2773]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(cnf_transformation,[],[f3208]) ).

cnf(c_1327,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(cnf_transformation,[],[f3209]) ).

cnf(c_2145,plain,
    icext(uri_owl_Thing,X0),
    inference(global_subsumption_just,[status(thm)],[c_245,c_50,c_245]) ).

cnf(c_115764,plain,
    icext(uri_owl_Class,uri_ex_c),
    inference(superposition,[status(thm)],[c_1327,c_75]) ).

cnf(c_115815,plain,
    ic(uri_ex_c),
    inference(superposition,[status(thm)],[c_115764,c_191]) ).

cnf(c_115878,plain,
    ( ~ ic(X0)
    | ~ ic(uri_owl_Thing)
    | iext(uri_rdfs_subClassOf,X0,uri_owl_Thing) ),
    inference(superposition,[status(thm)],[c_2145,c_899]) ).

cnf(c_115879,plain,
    ( ~ ic(X0)
    | iext(uri_rdfs_subClassOf,X0,uri_owl_Thing) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115878,c_247]) ).

cnf(c_115958,plain,
    ~ ic(uri_ex_c),
    inference(superposition,[status(thm)],[c_115879,c_1326]) ).

cnf(c_115959,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_115958,c_115815]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWB054+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 07:33:07 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.87/3.16  % SZS status Started for theBenchmark.p
% 17.87/3.16  % SZS status Theorem for theBenchmark.p
% 17.87/3.16  
% 17.87/3.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.87/3.16  
% 17.87/3.16  ------  iProver source info
% 17.87/3.16  
% 17.87/3.16  git: date: 2023-05-31 18:12:56 +0000
% 17.87/3.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.87/3.16  git: non_committed_changes: false
% 17.87/3.16  git: last_make_outside_of_git: false
% 17.87/3.16  
% 17.87/3.16  ------ Parsing...
% 17.87/3.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 17.87/3.16  
% 17.87/3.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 17.87/3.16  
% 17.87/3.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.87/3.16  
% 17.87/3.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.87/3.16  ------ Proving...
% 17.87/3.16  ------ Problem Properties 
% 17.87/3.16  
% 17.87/3.16  
% 17.87/3.16  clauses                                 1170
% 17.87/3.16  conjectures                             1
% 17.87/3.16  EPR                                     710
% 17.87/3.16  Horn                                    901
% 17.87/3.16  unary                                   226
% 17.87/3.16  binary                                  455
% 17.87/3.16  lits                                    3731
% 17.87/3.16  lits eq                                 197
% 17.87/3.16  fd_pure                                 0
% 17.87/3.16  fd_pseudo                               0
% 17.87/3.16  fd_cond                                 0
% 17.87/3.16  fd_pseudo_cond                          66
% 17.87/3.16  AC symbols                              0
% 17.87/3.16  
% 17.87/3.16  ------ Schedule dynamic 5 is on 
% 17.87/3.16  
% 17.87/3.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.87/3.16  
% 17.87/3.16  
% 17.87/3.16  ------ 
% 17.87/3.16  Current options:
% 17.87/3.16  ------ 
% 17.87/3.16  
% 17.87/3.16  
% 17.87/3.16  
% 17.87/3.16  
% 17.87/3.16  ------ Proving...
% 17.87/3.16  
% 17.87/3.16  
% 17.87/3.16  % SZS status Theorem for theBenchmark.p
% 17.87/3.16  
% 17.87/3.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.87/3.16  
% 17.87/3.16  
%------------------------------------------------------------------------------