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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB075+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 : n015.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 4.98s 1.52s
% Output   : CNFRefutation 4.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   62 (  16 unt;   0 def)
%            Number of atoms       :  179 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  198 (  81   ~;  80   |;  28   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 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  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  101 (   0 sgn  95   !;   6   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(f2,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(f90,axiom,
    ! [X0] :
      ( iodp(X0)
     => ! [X1,X2] :
          ( iext(X0,X1,X2)
         => ( lv(X2)
            & ir(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_cond_inst) ).

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(f266,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_topDataProperty,X0,X1)
    <=> ( lv(X1)
        & ir(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_topdataproperty_ext) ).

fof(f267,axiom,
    iodp(uri_owl_topDataProperty),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_topdataproperty_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_ex_p,uri_owl_topDataProperty),
    file('/export/starexec/sandbox/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,[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_topdataproperty_term) ).

fof(f562,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    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(f568,plain,
    ! [X0,X1,X2] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(ennf_transformation,[],[f1]) ).

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

fof(f576,plain,
    ! [X0] :
      ( ~ iodp(X0)
      | ! [X1,X2] :
          ( ~ iext(X0,X1,X2)
          | ( lv(X2)
            & ir(X1) ) ) ),
    inference(ennf_transformation,[],[f90]) ).

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(f590,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,[],[f266]) ).

fof(f591,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,[],[f590]) ).

fof(f607,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(f610,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(cnf_transformation,[],[f562]) ).

fof(f614,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(f615,plain,
    ! [X0,X1] :
      ( ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[],[f589]) ).

fof(f623,plain,
    iodp(uri_owl_topDataProperty),
    inference(cnf_transformation,[],[f267]) ).

fof(f626,plain,
    ! [X0,X1] :
      ( ~ lv(X1)
      | ~ ir(X0)
      | iext(uri_owl_topDataProperty,X0,X1) ),
    inference(cnf_transformation,[],[f591]) ).

fof(f627,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f628,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f568]) ).

fof(f656,plain,
    ! [X0] :
      ( ~ iodp(X0)
      | ip(X0) ),
    inference(cnf_transformation,[],[f575]) ).

fof(f657,plain,
    ! [X2,X0,X1] :
      ( ~ iodp(X0)
      | ~ iext(X0,X1,X2)
      | lv(X2) ),
    inference(cnf_transformation,[],[f576]) ).

fof(f667,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f677,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
      | iodp(X0) ),
    inference(cnf_transformation,[],[f607]) ).

tcf(c_49,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(cnf_transformation,[],[f610]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subPropertyOf,X1,X0)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(X0,sK0(X1,X0),sK1(X1,X0)) ),
    inference(cnf_transformation,[],[f615]) ).

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,[],[f614]) ).

tcf(c_62,plain,
    iodp(uri_owl_topDataProperty),
    inference(cnf_transformation,[],[f623]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_topDataProperty,X0,X1)
      | ~ lv(X1)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f626]) ).

tcf(c_66,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(cnf_transformation,[],[f627]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ip(X0)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f628]) ).

tcf(c_95,plain,
    ! [X0: $i] :
      ( ip(X0)
      | ~ iodp(X0) ),
    inference(cnf_transformation,[],[f656]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( lv(X2)
      | ~ iodp(X0)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f657]) ).

tcf(c_106,plain,
    ! [X0: $i] : ir(X0),
    inference(cnf_transformation,[],[f667]) ).

tcf(c_115,plain,
    ! [X0: $i] :
      ( iodp(X0)
      | ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
    inference(cnf_transformation,[],[f677]) ).

tcf(c_184,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_topDataProperty,X0,X1)
      | ~ lv(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_106,c_63]) ).

tcf(c_185,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_topDataProperty,X1,X0)
      | ~ lv(X0) ),
    inference(renaming,[status(thm)],[c_184]) ).

tcf(c_211,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ iext(X0,X1,X2)
      | ip(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67]) ).

tcf(c_212,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ip(X0)
      | ~ iext(X0,X1,X2) ),
    inference(renaming,[status(thm)],[c_211]) ).

tcf(c_217,plain,
    ! [X0: $i] :
      ( ~ iodp(X0)
      | ip(X0) ),
    inference(prop_impl_just,[status(thm)],[c_95]) ).

tcf(c_218,plain,
    ! [X0: $i] :
      ( ip(X0)
      | ~ iodp(X0) ),
    inference(renaming,[status(thm)],[c_217]) ).

tcf(c_454,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subPropertyOf,X1,X0)
      | ~ ip(X1)
      | ~ iext(X0,sK0(X1,X0),sK1(X1,X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_212]) ).

tcf(c_661,plain,
    ip(uri_owl_topDataProperty),
    inference(resolution,[status(thm)],[c_62,c_218]) ).

tcf(c_1213,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_topDataProperty,X1,X0)
      | ~ lv(X0) ),
    inference(prop_impl_just,[status(thm)],[c_185]) ).

tcf(c_2052,plain,
    ( iodp(uri_ex_p)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty) ),
    inference(instantiation,[status(thm)],[c_115]) ).

tcf(c_2123,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty)
    | ~ ip(uri_ex_p)
    | ~ iext(uri_owl_topDataProperty,sK0(uri_ex_p,uri_owl_topDataProperty),sK1(uri_ex_p,uri_owl_topDataProperty)) ),
    inference(instantiation,[status(thm)],[c_454]) ).

tcf(c_2126,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty)
    | iext(uri_ex_p,sK0(uri_ex_p,uri_owl_topDataProperty),sK1(uri_ex_p,uri_owl_topDataProperty))
    | ~ ip(uri_owl_topDataProperty)
    | ~ ip(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_2142,plain,
    ( ip(uri_ex_p)
    | ~ iodp(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_95]) ).

tcf(c_2160,plain,
    ! [X0: $i,X1: $i] :
      ( lv(X1)
      | ~ iodp(uri_ex_p)
      | ~ iext(uri_ex_p,X0,X1) ),
    inference(instantiation,[status(thm)],[c_97]) ).

tcf(c_2989,plain,
    ( lv(sK1(uri_ex_p,uri_owl_topDataProperty))
    | ~ iodp(uri_ex_p)
    | ~ iext(uri_ex_p,sK0(uri_ex_p,uri_owl_topDataProperty),sK1(uri_ex_p,uri_owl_topDataProperty)) ),
    inference(instantiation,[status(thm)],[c_2160]) ).

tcf(c_3716,plain,
    ( iext(uri_owl_topDataProperty,sK0(uri_ex_p,uri_owl_topDataProperty),sK1(uri_ex_p,uri_owl_topDataProperty))
    | ~ lv(sK1(uri_ex_p,uri_owl_topDataProperty)) ),
    inference(instantiation,[status(thm)],[c_1213]) ).

tcf(c_3717,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3716,c_2989,c_2142,c_2126,c_2123,c_2052,c_661,c_49,c_66]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB075+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.41  % Computer : n015.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Thu Sep 24 15:47:56 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.48  Running first-order theorem proving
% 0.16/0.48  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
% 0.26/0.50  
% 0.26/0.50  % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.50  
% 0.26/0.50  % Detected problem language: tptp
% 0.26/0.51  % Proving...
% 4.98/1.52  % SZS status Started for theBenchmark.p
% 4.98/1.52  % SZS status Theorem for theBenchmark.p
% 4.98/1.52  
% 4.98/1.52  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.98/1.52  
% 4.98/1.52  % ------  iProver source info
% 4.98/1.52  
% 4.98/1.52  % git: date: 2026-07-19 20:42:38 +0200
% 4.98/1.52  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.98/1.52  % git: non_committed_changes: false
% 4.98/1.52  
% 4.98/1.52  % ------ Parsing...
% 4.98/1.52  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.98/1.52  
% 4.98/1.52  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.98/1.52  
% 4.98/1.52  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.98/1.52  % ------ Proving...
% 4.98/1.52  % ------ Problem Properties 
% 4.98/1.52  
% 4.98/1.52  % 
% 4.98/1.52  % clauses                               51
% 4.98/1.52  % conjectures                           1
% 4.98/1.52  % EPR                                   45
% 4.98/1.52  % Horn                                  48
% 4.98/1.52  % unary                                 18
% 4.98/1.52  % binary                                22
% 4.98/1.52  % lits                                  100
% 4.98/1.52  % lits eq                               0
% 4.98/1.52  % fd_pure                               0
% 4.98/1.52  % fd_pseudo                             0
% 4.98/1.52  % fd_cond                               0
% 4.98/1.52  % fd_pseudo_cond                        0
% 4.98/1.52  % AC symbols                            0
% 4.98/1.52  
% 4.98/1.52  % ------ Schedule dynamic 5 is on 
% 4.98/1.52  
% 4.98/1.52  % ------ no equalities: superposition off 
% 4.98/1.52  
% 4.98/1.52  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.98/1.52  
% 4.98/1.52  
% 4.98/1.52  % ------ 
% 4.98/1.52  % Current options:
% 4.98/1.52  % ------ 
% 4.98/1.52  
% 4.98/1.52  
% 4.98/1.52  % 
% 4.98/1.52  
% 4.98/1.52  % ------ Proving...
% 4.98/1.52  % 
% 4.98/1.52  
% 4.98/1.52  % SZS status Theorem for theBenchmark.p
% 4.98/1.52  
% 4.98/1.52  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.98/1.52  
% 4.98/1.52  
%------------------------------------------------------------------------------