TSTP Solution File: SWB073+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWB073+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 03:10:25 EDT 2024

% Result   : Theorem 32.37s 5.21s
% Output   : CNFRefutation 32.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   44 (  19 unt;   0 def)
%            Number of atoms       :  120 (   1 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  125 (  49   ~;  41   |;  25   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   63 (   2 sgn  46   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
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(f180,axiom,
    ! [X3,X6] : ~ iext(uri_owl_bottomDataProperty,X3,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_ext) ).

fof(f181,axiom,
    iodp(uri_owl_bottomDataProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_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_owl_bottomDataProperty,uri_ex_p),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_prop_bottomdataproperty_term) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
    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_bottomdataproperty_term) ).

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(f641,plain,
    ! [X0,X1] : ~ iext(uri_owl_bottomDataProperty,X0,X1),
    inference(rectify,[],[f180]) ).

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_owl_bottomDataProperty,uri_ex_p),
    inference(flattening,[],[f560]) ).

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(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(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(f2139,plain,
    ! [X0,X1] : ~ iext(uri_owl_bottomDataProperty,X0,X1),
    inference(cnf_transformation,[],[f641]) ).

fof(f2140,plain,
    iodp(uri_owl_bottomDataProperty),
    inference(cnf_transformation,[],[f181]) ).

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

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

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_269,plain,
    ~ iext(uri_owl_bottomDataProperty,X0,X1),
    inference(cnf_transformation,[],[f2139]) ).

cnf(c_270,plain,
    iodp(uri_owl_bottomDataProperty),
    inference(cnf_transformation,[],[f2140]) ).

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_owl_bottomDataProperty,uri_ex_p),
    inference(cnf_transformation,[],[f3208]) ).

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

cnf(c_2299,plain,
    ( ip(X0)
    | ~ iodp(X0) ),
    inference(prop_impl_just,[status(thm)],[c_153]) ).

cnf(c_2300,plain,
    ( ~ iodp(X0)
    | ip(X0) ),
    inference(renaming,[status(thm)],[c_2299]) ).

cnf(c_32079,plain,
    ( X0 != uri_owl_bottomDataProperty
    | ip(X0) ),
    inference(resolution_lifted,[status(thm)],[c_2300,c_270]) ).

cnf(c_32080,plain,
    ip(uri_owl_bottomDataProperty),
    inference(unflattening,[status(thm)],[c_32079]) ).

cnf(c_43607,plain,
    ( ~ ip(uri_owl_bottomDataProperty)
    | ~ ip(uri_ex_p)
    | iext(uri_owl_bottomDataProperty,sK168(uri_owl_bottomDataProperty,uri_ex_p),sK169(uri_owl_bottomDataProperty,uri_ex_p))
    | iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_905]) ).

cnf(c_43921,plain,
    ( ~ iodp(uri_ex_p)
    | ip(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_153]) ).

cnf(c_46276,plain,
    iodp(uri_ex_p),
    inference(superposition,[status(thm)],[c_1327,c_154]) ).

cnf(c_50426,plain,
    ~ iext(uri_owl_bottomDataProperty,sK168(uri_owl_bottomDataProperty,uri_ex_p),sK169(uri_owl_bottomDataProperty,uri_ex_p)),
    inference(instantiation,[status(thm)],[c_269]) ).

cnf(c_50427,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_50426,c_46276,c_43921,c_43607,c_32080,c_1326]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB073+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 21:25:05 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.37/5.21  % SZS status Started for theBenchmark.p
% 32.37/5.21  % SZS status Theorem for theBenchmark.p
% 32.37/5.21  
% 32.37/5.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 32.37/5.21  
% 32.37/5.21  ------  iProver source info
% 32.37/5.21  
% 32.37/5.21  git: date: 2024-05-02 19:28:25 +0000
% 32.37/5.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 32.37/5.21  git: non_committed_changes: false
% 32.37/5.21  
% 32.37/5.21  ------ Parsing...
% 32.37/5.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 32.37/5.21  
% 32.37/5.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e 
% 32.37/5.21  
% 32.37/5.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 348 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 32.37/5.21  
% 32.37/5.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 32.37/5.21  ------ Proving...
% 32.37/5.21  ------ Problem Properties 
% 32.37/5.21  
% 32.37/5.21  
% 32.37/5.21  clauses                                 1406
% 32.37/5.21  conjectures                             1
% 32.37/5.21  EPR                                     937
% 32.37/5.21  Horn                                    1019
% 32.37/5.21  unary                                   224
% 32.37/5.21  binary                                  472
% 32.37/5.21  lits                                    4113
% 32.37/5.21  lits eq                                 191
% 32.37/5.21  fd_pure                                 0
% 32.37/5.21  fd_pseudo                               0
% 32.37/5.21  fd_cond                                 0
% 32.37/5.21  fd_pseudo_cond                          79
% 32.37/5.21  AC symbols                              0
% 32.37/5.21  
% 32.37/5.21  ------ Input Options Time Limit: Unbounded
% 32.37/5.21  
% 32.37/5.21  
% 32.37/5.21  ------ 
% 32.37/5.21  Current options:
% 32.37/5.21  ------ 
% 32.37/5.21  
% 32.37/5.21  
% 32.37/5.21  
% 32.37/5.21  
% 32.37/5.21  ------ Proving...
% 32.37/5.21  
% 32.37/5.21  
% 32.37/5.21  % SZS status Theorem for theBenchmark.p
% 32.37/5.21  
% 32.37/5.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.37/5.21  
% 32.37/5.22  
%------------------------------------------------------------------------------