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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB073+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:04:37 PM UTC 2026

% Result   : Theorem 3.79s 1.18s
% Output   : CNFRefutation 3.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   42 (  17 unt;   0 def)
%            Number of atoms       :  113 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  121 (  50   ~;  45   |;  21   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   55 (   0 sgn  49   !;   6   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f91,axiom,
    ! [X0] :
      ( iodp(X0)
     => ip(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_cond_set) ).

fof(f92,axiom,
    ! [X0] :
      ( iodp(X0)
    <=> iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_def) ).

fof(f180,axiom,
    ! [X0,X1] : ~ iext(uri_owl_bottomDataProperty,X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_bottomdataproperty_ext) ).

fof(f181,axiom,
    iodp(uri_owl_bottomDataProperty),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_bottomdataproperty_type) ).

fof(f344,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subpropertyof) ).

fof(f559,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
    file('/export/starexec/sandbox/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,[status(cth)],[f559]) ).

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

fof(f562,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
    inference(flattening,[],[f560]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f344]) ).

fof(f575,plain,
    ! [X0] :
      ( ~ iodp(X0)
      | ip(X0) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | iext(X1,X2,X3) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ iext(X1,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | iext(X1,X2,X3) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ iext(X1,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(flattening,[],[f586]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | iext(X1,X4,X5) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ iext(X1,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(rectify,[],[f587]) ).

fof(f589,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | iext(X1,X4,X5) )
          & ip(X1)
          & ip(X0) ) )
      & ( ( iext(X0,sK0(X0,X1),sK1(X0,X1))
          & ~ iext(X1,sK0(X0,X1),sK1(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f588]) ).

fof(f604,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,[],[f92]) ).

fof(f608,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
    inference(cnf_transformation,[],[f562]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( iext(X0,sK0(X0,X1),sK1(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[],[f589]) ).

fof(f621,plain,
    iodp(uri_owl_bottomDataProperty),
    inference(cnf_transformation,[],[f181]) ).

fof(f622,plain,
    ! [X0,X1] : ~ iext(uri_owl_bottomDataProperty,X0,X1),
    inference(cnf_transformation,[],[f180]) ).

fof(f623,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f652,plain,
    ! [X0] :
      ( ~ iodp(X0)
      | ip(X0) ),
    inference(cnf_transformation,[],[f575]) ).

fof(f663,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
      | iodp(X0) ),
    inference(cnf_transformation,[],[f604]) ).

tcf(c_49,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
    inference(cnf_transformation,[],[f608]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
      | iext(X0,sK0(X0,X1),sK1(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f612]) ).

tcf(c_62,plain,
    iodp(uri_owl_bottomDataProperty),
    inference(cnf_transformation,[],[f621]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] : ~ iext(uri_owl_bottomDataProperty,X0,X1),
    inference(cnf_transformation,[],[f622]) ).

tcf(c_64,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(cnf_transformation,[],[f623]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( ip(X0)
      | ~ iodp(X0) ),
    inference(cnf_transformation,[],[f652]) ).

tcf(c_103,plain,
    ! [X0: $i] :
      ( iodp(X0)
      | ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
    inference(cnf_transformation,[],[f663]) ).

tcf(c_191,plain,
    ! [X0: $i] :
      ( ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
      | iodp(X0) ),
    inference(prop_impl_just,[status(thm)],[c_103]) ).

tcf(c_192,plain,
    ! [X0: $i] :
      ( iodp(X0)
      | ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
    inference(renaming,[status(thm)],[c_191]) ).

tcf(c_209,plain,
    ! [X0: $i] :
      ( ~ iodp(X0)
      | ip(X0) ),
    inference(prop_impl_just,[status(thm)],[c_93]) ).

tcf(c_210,plain,
    ! [X0: $i] :
      ( ip(X0)
      | ~ iodp(X0) ),
    inference(renaming,[status(thm)],[c_209]) ).

tcf(c_553,plain,
    ! [X0: $i] :
      ( ip(X0)
      | ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
    inference(resolution,[status(thm)],[c_192,c_210]) ).

tcf(c_580,plain,
    ip(uri_owl_bottomDataProperty),
    inference(resolution,[status(thm)],[c_62,c_210]) ).

tcf(c_1021,plain,
    ! [X0: $i] :
      ( ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
      | ip(X0) ),
    inference(prop_impl_just,[status(thm)],[c_553]) ).

tcf(c_1022,plain,
    ! [X0: $i] :
      ( ip(X0)
      | ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
    inference(renaming,[status(thm)],[c_1021]) ).

tcf(c_1752,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p)
    | iext(uri_owl_bottomDataProperty,sK0(uri_owl_bottomDataProperty,uri_ex_p),sK1(uri_owl_bottomDataProperty,uri_ex_p))
    | ~ ip(uri_ex_p)
    | ~ ip(uri_owl_bottomDataProperty) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_1773,plain,
    ( ip(uri_ex_p)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty) ),
    inference(instantiation,[status(thm)],[c_1022]) ).

tcf(c_2024,plain,
    ~ iext(uri_owl_bottomDataProperty,sK0(uri_owl_bottomDataProperty,uri_ex_p),sK1(uri_owl_bottomDataProperty,uri_ex_p)),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_2025,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2024,c_1773,c_1752,c_580,c_49,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB073+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n003.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 15:46:36 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40  
% 0.14/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40  
% 0.14/0.40  % Detected problem language: tptp
% 0.14/0.42  % Proving...
% 3.79/1.18  % SZS status Started for theBenchmark.p
% 3.79/1.18  % SZS status Theorem for theBenchmark.p
% 3.79/1.18  
% 3.79/1.18  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.79/1.18  
% 3.79/1.18  % ------  iProver source info
% 3.79/1.18  
% 3.79/1.18  % git: date: 2026-07-19 20:42:38 +0200
% 3.79/1.18  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.79/1.18  % git: non_committed_changes: false
% 3.79/1.18  
% 3.79/1.18  % ------ Parsing...
% 3.79/1.18  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.79/1.18  
% 3.79/1.18  % ------ Preprocessing... sf_s  rm: 4 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.79/1.18  
% 3.79/1.18  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.79/1.18  % ------ Proving...
% 3.79/1.18  % ------ Problem Properties 
% 3.79/1.18  
% 3.79/1.18  % 
% 3.79/1.18  % clauses                               47
% 3.79/1.18  % conjectures                           1
% 3.79/1.18  % EPR                                   41
% 3.79/1.18  % Horn                                  44
% 3.79/1.18  % unary                                 21
% 3.79/1.18  % binary                                16
% 3.79/1.18  % lits                                  88
% 3.79/1.18  % lits eq                               0
% 3.79/1.18  % fd_pure                               0
% 3.79/1.18  % fd_pseudo                             0
% 3.79/1.18  % fd_cond                               0
% 3.79/1.18  % fd_pseudo_cond                        0
% 3.79/1.18  % AC symbols                            0
% 3.79/1.18  
% 3.79/1.18  % ------ Schedule dynamic 5 is on 
% 3.79/1.18  
% 3.79/1.18  % ------ no equalities: superposition off 
% 3.79/1.18  
% 3.79/1.18  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.79/1.18  
% 3.79/1.18  
% 3.79/1.18  % ------ 
% 3.79/1.18  % Current options:
% 3.79/1.18  % ------ 
% 3.79/1.18  
% 3.79/1.18  
% 3.79/1.18  % 
% 3.79/1.18  
% 3.79/1.18  % ------ Proving...
% 3.79/1.18  % 
% 3.79/1.18  
% 3.79/1.18  % SZS status Theorem for theBenchmark.p
% 3.79/1.18  
% 3.79/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.18  
%------------------------------------------------------------------------------