TSTP Solution File: SWB075+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB075+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 20:09:38 EDT 2023

% Result   : Theorem 234.27s 31.86s
% Output   : CNFRefutation 234.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   71 (  19 unt;   0 def)
%            Number of atoms       :  202 (   1 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  214 (  83   ~;  80   |;  34   &)
%                                         (   7 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  116 (  10 sgn;  76   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).

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

fof(f90,axiom,
    ! [X3] :
      ( iodp(X3)
     => ! [X6,X10] :
          ( iext(X3,X6,X10)
         => ( lv(X10)
            & ir(X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_cond_inst) ).

fof(f91,axiom,
    ! [X3] :
      ( iodp(X3)
     => ip(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_cond_set) ).

fof(f92,axiom,
    ! [X3] :
      ( iodp(X3)
    <=> iext(uri_rdf_type,X3,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_def) ).

fof(f266,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_topDataProperty,X3,X6)
    <=> ( lv(X6)
        & ir(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_ext) ).

fof(f267,axiom,
    iodp(uri_owl_topDataProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_type) ).

fof(f344,axiom,
    ! [X32,X33] :
      ( iext(uri_rdfs_subPropertyOf,X32,X33)
    <=> ( ! [X3,X6] :
            ( iext(X32,X3,X6)
           => iext(X33,X3,X6) )
        & ip(X33)
        & ip(X32) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).

fof(f559,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_prop_topdataproperty_term) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_prop_topdataproperty_term) ).

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

fof(f589,plain,
    ! [X0] :
      ( iodp(X0)
     => ! [X1,X2] :
          ( iext(X0,X1,X2)
         => ( lv(X2)
            & ir(X1) ) ) ),
    inference(rectify,[],[f90]) ).

fof(f590,plain,
    ! [X0] :
      ( iodp(X0)
     => ip(X0) ),
    inference(rectify,[],[f91]) ).

fof(f591,plain,
    ! [X0] :
      ( iodp(X0)
    <=> iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
    inference(rectify,[],[f92]) ).

fof(f683,plain,
    ! [X0,X1] :
      ( iext(uri_owl_topDataProperty,X0,X1)
    <=> ( lv(X1)
        & ir(X0) ) ),
    inference(rectify,[],[f266]) ).

fof(f755,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f344]) ).

fof(f920,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(flattening,[],[f560]) ).

fof(f921,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f944,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( lv(X2)
            & ir(X1) )
          | ~ iext(X0,X1,X2) )
      | ~ iodp(X0) ),
    inference(ennf_transformation,[],[f589]) ).

fof(f945,plain,
    ! [X0] :
      ( ip(X0)
      | ~ iodp(X0) ),
    inference(ennf_transformation,[],[f590]) ).

fof(f1140,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X1,X2,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f755]) ).

fof(f1416,plain,
    ! [X0] :
      ( ( iodp(X0)
        | ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) )
      & ( iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
        | ~ iodp(X0) ) ),
    inference(nnf_transformation,[],[f591]) ).

fof(f1437,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_topDataProperty,X0,X1)
        | ~ lv(X1)
        | ~ ir(X0) )
      & ( ( lv(X1)
          & ir(X0) )
        | ~ iext(uri_owl_topDataProperty,X0,X1) ) ),
    inference(nnf_transformation,[],[f683]) ).

fof(f1438,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_topDataProperty,X0,X1)
        | ~ lv(X1)
        | ~ ir(X0) )
      & ( ( lv(X1)
          & ir(X0) )
        | ~ iext(uri_owl_topDataProperty,X0,X1) ) ),
    inference(flattening,[],[f1437]) ).

fof(f1724,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subPropertyOf,X0,X1)
        | ? [X2,X3] :
            ( ~ iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f1140]) ).

fof(f1725,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subPropertyOf,X0,X1)
        | ? [X2,X3] :
            ( ~ iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(flattening,[],[f1724]) ).

fof(f1726,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subPropertyOf,X0,X1)
        | ? [X2,X3] :
            ( ~ iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( iext(X1,X4,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(rectify,[],[f1725]) ).

fof(f1727,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ iext(X1,X2,X3)
          & iext(X0,X2,X3) )
     => ( ~ iext(X1,sK168(X0,X1),sK169(X0,X1))
        & iext(X0,sK168(X0,X1),sK169(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1728,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ~ iext(X1,sK168(X0,X1),sK169(X0,X1))
          & iext(X0,sK168(X0,X1),sK169(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( iext(X1,X4,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK168,sK169])],[f1726,f1727]) ).

fof(f1919,plain,
    ! [X2,X0,X1] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(cnf_transformation,[],[f921]) ).

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

fof(f2022,plain,
    ! [X2,X0,X1] :
      ( lv(X2)
      | ~ iext(X0,X1,X2)
      | ~ iodp(X0) ),
    inference(cnf_transformation,[],[f944]) ).

fof(f2023,plain,
    ! [X0] :
      ( ip(X0)
      | ~ iodp(X0) ),
    inference(cnf_transformation,[],[f945]) ).

fof(f2025,plain,
    ! [X0] :
      ( iodp(X0)
      | ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
    inference(cnf_transformation,[],[f1416]) ).

fof(f2267,plain,
    ! [X0,X1] :
      ( iext(uri_owl_topDataProperty,X0,X1)
      | ~ lv(X1)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f1438]) ).

fof(f2268,plain,
    iodp(uri_owl_topDataProperty),
    inference(cnf_transformation,[],[f267]) ).

fof(f2777,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
      | iext(X0,sK168(X0,X1),sK169(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1728]) ).

fof(f2778,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
      | ~ iext(X1,sK168(X0,X1),sK169(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1728]) ).

fof(f3208,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(cnf_transformation,[],[f920]) ).

fof(f3209,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_49,plain,
    ( ~ iext(X0,X1,X2)
    | ip(X0) ),
    inference(cnf_transformation,[],[f1919]) ).

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

cnf(c_151,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iodp(X0)
    | lv(X2) ),
    inference(cnf_transformation,[],[f2022]) ).

cnf(c_153,plain,
    ( ~ iodp(X0)
    | ip(X0) ),
    inference(cnf_transformation,[],[f2023]) ).

cnf(c_154,plain,
    ( ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
    | iodp(X0) ),
    inference(cnf_transformation,[],[f2025]) ).

cnf(c_395,plain,
    ( ~ ir(X0)
    | ~ lv(X1)
    | iext(uri_owl_topDataProperty,X0,X1) ),
    inference(cnf_transformation,[],[f2267]) ).

cnf(c_398,plain,
    iodp(uri_owl_topDataProperty),
    inference(cnf_transformation,[],[f2268]) ).

cnf(c_904,plain,
    ( ~ iext(X0,sK168(X1,X0),sK169(X1,X0))
    | ~ ip(X0)
    | ~ ip(X1)
    | iext(uri_rdfs_subPropertyOf,X1,X0) ),
    inference(cnf_transformation,[],[f2778]) ).

cnf(c_905,plain,
    ( ~ ip(X0)
    | ~ ip(X1)
    | iext(X1,sK168(X1,X0),sK169(X1,X0))
    | iext(uri_rdfs_subPropertyOf,X1,X0) ),
    inference(cnf_transformation,[],[f2777]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(cnf_transformation,[],[f3208]) ).

cnf(c_1327,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(cnf_transformation,[],[f3209]) ).

cnf(c_2227,plain,
    ( ~ lv(X1)
    | iext(uri_owl_topDataProperty,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_50,c_395]) ).

cnf(c_2228,plain,
    ( ~ lv(X0)
    | iext(uri_owl_topDataProperty,X1,X0) ),
    inference(renaming,[status(thm)],[c_2227]) ).

cnf(c_2351,plain,
    ( ~ iext(X0,X1,X2)
    | ip(X0) ),
    inference(prop_impl_just,[status(thm)],[c_49]) ).

cnf(c_2473,plain,
    ( ip(X0)
    | ~ iodp(X0) ),
    inference(prop_impl_just,[status(thm)],[c_153]) ).

cnf(c_2474,plain,
    ( ~ iodp(X0)
    | ip(X0) ),
    inference(renaming,[status(thm)],[c_2473]) ).

cnf(c_6355,plain,
    ( ~ iext(X0,sK168(X1,X0),sK169(X1,X0))
    | ~ ip(X1)
    | iext(uri_rdfs_subPropertyOf,X1,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_904,c_2351]) ).

cnf(c_46967,plain,
    ( X0 != uri_owl_topDataProperty
    | ip(X0) ),
    inference(resolution_lifted,[status(thm)],[c_2474,c_398]) ).

cnf(c_46968,plain,
    ip(uri_owl_topDataProperty),
    inference(unflattening,[status(thm)],[c_46967]) ).

cnf(c_48387,plain,
    ( ~ lv(X0)
    | iext(uri_owl_topDataProperty,X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_2228]) ).

cnf(c_114527,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty)
    | iodp(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_154]) ).

cnf(c_115859,plain,
    iodp(uri_ex_p),
    inference(superposition,[status(thm)],[c_1327,c_154]) ).

cnf(c_115860,plain,
    ip(uri_ex_p),
    inference(superposition,[status(thm)],[c_115859,c_153]) ).

cnf(c_176162,plain,
    ( ~ iext(uri_ex_p,X0,X1)
    | ~ iodp(uri_ex_p)
    | lv(X1) ),
    inference(instantiation,[status(thm)],[c_151]) ).

cnf(c_273989,plain,
    ( ~ ip(uri_owl_topDataProperty)
    | ~ ip(uri_ex_p)
    | iext(uri_ex_p,sK168(uri_ex_p,uri_owl_topDataProperty),sK169(uri_ex_p,uri_owl_topDataProperty))
    | iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty) ),
    inference(instantiation,[status(thm)],[c_905]) ).

cnf(c_282476,plain,
    ( ~ iext(uri_ex_p,sK168(uri_ex_p,uri_owl_topDataProperty),sK169(uri_ex_p,uri_owl_topDataProperty))
    | ~ iodp(uri_ex_p)
    | lv(sK169(uri_ex_p,uri_owl_topDataProperty)) ),
    inference(instantiation,[status(thm)],[c_176162]) ).

cnf(c_381152,plain,
    ( ~ iext(uri_owl_topDataProperty,sK168(uri_ex_p,uri_owl_topDataProperty),sK169(uri_ex_p,uri_owl_topDataProperty))
    | ~ ip(uri_ex_p)
    | iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty) ),
    inference(instantiation,[status(thm)],[c_6355]) ).

cnf(c_395903,plain,
    ( ~ lv(sK169(X0,uri_owl_topDataProperty))
    | iext(uri_owl_topDataProperty,sK168(X0,uri_owl_topDataProperty),sK169(X0,uri_owl_topDataProperty)) ),
    inference(instantiation,[status(thm)],[c_48387]) ).

cnf(c_409635,plain,
    ( ~ lv(sK169(uri_ex_p,uri_owl_topDataProperty))
    | iext(uri_owl_topDataProperty,sK168(uri_ex_p,uri_owl_topDataProperty),sK169(uri_ex_p,uri_owl_topDataProperty)) ),
    inference(instantiation,[status(thm)],[c_395903]) ).

cnf(c_409636,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_409635,c_381152,c_282476,c_273989,c_115860,c_114527,c_46968,c_1326,c_1327]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB075+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 07:00:36 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 234.27/31.86  % SZS status Started for theBenchmark.p
% 234.27/31.86  % SZS status Theorem for theBenchmark.p
% 234.27/31.86  
% 234.27/31.86  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 234.27/31.86  
% 234.27/31.86  ------  iProver source info
% 234.27/31.86  
% 234.27/31.86  git: date: 2023-05-31 18:12:56 +0000
% 234.27/31.86  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 234.27/31.86  git: non_committed_changes: false
% 234.27/31.86  git: last_make_outside_of_git: false
% 234.27/31.86  
% 234.27/31.86  ------ Parsing...
% 234.27/31.86  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 234.27/31.86  
% 234.27/31.86  ------ 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 
% 234.27/31.86  
% 234.27/31.86  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 234.27/31.86  
% 234.27/31.86  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 234.27/31.86  ------ Proving...
% 234.27/31.86  ------ Problem Properties 
% 234.27/31.86  
% 234.27/31.86  
% 234.27/31.86  clauses                                 1170
% 234.27/31.86  conjectures                             1
% 234.27/31.86  EPR                                     710
% 234.27/31.86  Horn                                    901
% 234.27/31.86  unary                                   226
% 234.27/31.86  binary                                  455
% 234.27/31.86  lits                                    3731
% 234.27/31.86  lits eq                                 197
% 234.27/31.86  fd_pure                                 0
% 234.27/31.86  fd_pseudo                               0
% 234.27/31.86  fd_cond                                 0
% 234.27/31.86  fd_pseudo_cond                          66
% 234.27/31.86  AC symbols                              0
% 234.27/31.86  
% 234.27/31.86  ------ Input Options Time Limit: Unbounded
% 234.27/31.86  
% 234.27/31.86  
% 234.27/31.86  ------ 
% 234.27/31.86  Current options:
% 234.27/31.86  ------ 
% 234.27/31.86  
% 234.27/31.86  
% 234.27/31.86  
% 234.27/31.86  
% 234.27/31.86  ------ Proving...
% 234.27/31.86  
% 234.27/31.86  
% 234.27/31.86  % SZS status Theorem for theBenchmark.p
% 234.27/31.86  
% 234.27/31.86  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 234.27/31.86  
% 234.27/31.87  
%------------------------------------------------------------------------------