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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB049+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n017.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 03:04:35 PM UTC 2026

% Result   : Theorem 7.33s 12.37s
% Output   : CNFRefutation 7.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   51 (  17 unt;   0 def)
%            Number of atoms       :  170 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  196 (  77   ~;  76   |;  37   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   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  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  103 (   0 sgn  94   !;   9   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(f2,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(f268,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_topObjectProperty,X0,X1)
    <=> ( ir(X1)
        & ir(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_topobjectproperty_ext) ).

fof(f352,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentProperty,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
          <=> iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentproperty) ).

fof(f396,axiom,
    ! [X0] :
      ( icext(uri_owl_ReflexiveProperty,X0)
    <=> ( ! [X1] : iext(X0,X1,X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_reflexive) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_reflexive_ext) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_reflexive_ext) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(flattening,[],[f560]) ).

fof(f570,plain,
    ! [X0,X1,X2] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f583,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f585,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_ReflexiveProperty,X0)
        | ( ! [X1] : iext(X0,X1,X1)
          & ip(X0) ) )
      & ( ? [X1] : ~ iext(X0,X1,X1)
        | ~ ip(X0)
        | icext(uri_owl_ReflexiveProperty,X0) ) ),
    inference(nnf_transformation,[],[f396]) ).

fof(f586,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_ReflexiveProperty,X0)
        | ( ! [X1] : iext(X0,X1,X1)
          & ip(X0) ) )
      & ( ? [X1] : ~ iext(X0,X1,X1)
        | ~ ip(X0)
        | icext(uri_owl_ReflexiveProperty,X0) ) ),
    inference(flattening,[],[f585]) ).

fof(f587,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_ReflexiveProperty,X0)
        | ( ! [X2] : iext(X0,X2,X2)
          & ip(X0) ) )
      & ( ? [X1] : ~ iext(X0,X1,X1)
        | ~ ip(X0)
        | icext(uri_owl_ReflexiveProperty,X0) ) ),
    inference(rectify,[],[f586]) ).

fof(f588,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_ReflexiveProperty,X0)
        | ( ! [X2] : iext(X0,X2,X2)
          & ip(X0) ) )
      & ( ~ iext(X0,sK0(X0),sK0(X0))
        | ~ ip(X0)
        | icext(uri_owl_ReflexiveProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f587]) ).

fof(f597,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentProperty,X0,X1)
        | ( ! [X2,X3] :
              ( ( ~ iext(X0,X2,X3)
                | iext(X1,X2,X3) )
              & ( ~ iext(X1,X2,X3)
                | iext(X0,X2,X3) ) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( ( iext(X0,X2,X3)
              | iext(X1,X2,X3) )
            & ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_owl_equivalentProperty,X0,X1) ) ),
    inference(nnf_transformation,[],[f352]) ).

fof(f598,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentProperty,X0,X1)
        | ( ! [X2,X3] :
              ( ( ~ iext(X0,X2,X3)
                | iext(X1,X2,X3) )
              & ( ~ iext(X1,X2,X3)
                | iext(X0,X2,X3) ) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( ( iext(X0,X2,X3)
              | iext(X1,X2,X3) )
            & ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_owl_equivalentProperty,X0,X1) ) ),
    inference(flattening,[],[f597]) ).

fof(f599,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentProperty,X0,X1)
        | ( ! [X4,X5] :
              ( ( ~ iext(X0,X4,X5)
                | iext(X1,X4,X5) )
              & ( ~ iext(X1,X4,X5)
                | iext(X0,X4,X5) ) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( ( iext(X0,X2,X3)
              | iext(X1,X2,X3) )
            & ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_owl_equivalentProperty,X0,X1) ) ),
    inference(rectify,[],[f598]) ).

fof(f600,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentProperty,X0,X1)
        | ( ! [X4,X5] :
              ( ( ~ iext(X0,X4,X5)
                | iext(X1,X4,X5) )
              & ( ~ iext(X1,X4,X5)
                | iext(X0,X4,X5) ) )
          & ip(X1)
          & ip(X0) ) )
      & ( ( ( iext(X0,sK4(X0,X1),sK5(X0,X1))
            | iext(X1,sK4(X0,X1),sK5(X0,X1)) )
          & ( ~ iext(X0,sK4(X0,X1),sK5(X0,X1))
            | ~ iext(X1,sK4(X0,X1),sK5(X0,X1)) ) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_owl_equivalentProperty,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1))],[f599]) ).

fof(f601,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_topObjectProperty,X0,X1)
        | ( ir(X1)
          & ir(X0) ) )
      & ( ~ ir(X1)
        | ~ ir(X0)
        | iext(uri_owl_topObjectProperty,X0,X1) ) ),
    inference(nnf_transformation,[],[f268]) ).

fof(f602,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_topObjectProperty,X0,X1)
        | ( ir(X1)
          & ir(X0) ) )
      & ( ~ ir(X1)
        | ~ ir(X0)
        | iext(uri_owl_topObjectProperty,X0,X1) ) ),
    inference(flattening,[],[f601]) ).

fof(f607,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(cnf_transformation,[],[f562]) ).

fof(f614,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f583]) ).

fof(f623,plain,
    ! [X0] :
      ( ~ iext(X0,sK0(X0),sK0(X0))
      | ~ ip(X0)
      | icext(uri_owl_ReflexiveProperty,X0) ),
    inference(cnf_transformation,[],[f588]) ).

fof(f626,plain,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f635,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f642,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f570]) ).

fof(f656,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_owl_equivalentProperty,X0,X1)
      | ~ iext(X1,X4,X5)
      | iext(X0,X4,X5) ),
    inference(cnf_transformation,[],[f600]) ).

fof(f667,plain,
    ! [X0,X1] :
      ( ~ ir(X1)
      | ~ ir(X0)
      | iext(uri_owl_topObjectProperty,X0,X1) ),
    inference(cnf_transformation,[],[f602]) ).

tcf(c_49,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(cnf_transformation,[],[f607]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f614]) ).

tcf(c_63,plain,
    ! [X0: $i] :
      ( icext(uri_owl_ReflexiveProperty,X0)
      | ~ ip(X0)
      | ~ iext(X0,sK0(X0),sK0(X0)) ),
    inference(cnf_transformation,[],[f623]) ).

tcf(c_68,plain,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    inference(cnf_transformation,[],[f626]) ).

tcf(c_77,plain,
    ! [X0: $i] : ir(X0),
    inference(cnf_transformation,[],[f635]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ip(X0)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f642]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X3,X1,X2)
      | ~ iext(uri_owl_equivalentProperty,X3,X0)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f656]) ).

tcf(c_107,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_topObjectProperty,X0,X1)
      | ~ ir(X1)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f667]) ).

tcf(c_169,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_topObjectProperty,X0,X1)
      | ~ ir(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_77,c_107]) ).

tcf(c_170,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_topObjectProperty,X1,X0)
      | ~ ir(X0) ),
    inference(renaming,[status(thm)],[c_169]) ).

tcf(c_171,plain,
    ! [X0: $i,X1: $i] : iext(uri_owl_topObjectProperty,X1,X0),
    inference(global_subsumption_just,[status(thm)],[c_170,c_77,c_170]) ).

tcf(c_172,plain,
    ! [X0: $i,X1: $i] : iext(uri_owl_topObjectProperty,X0,X1),
    inference(renaming,[status(thm)],[c_171]) ).

tcf(c_188,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ iext(X0,X1,X2)
      | ip(X0) ),
    inference(prop_impl_just,[status(thm)],[c_84]) ).

tcf(c_189,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ip(X0)
      | ~ iext(X0,X1,X2) ),
    inference(renaming,[status(thm)],[c_188]) ).

tcf(c_395,plain,
    ! [X0: $i] :
      ( icext(uri_owl_ReflexiveProperty,X0)
      | ~ iext(X0,sK0(X0),sK0(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_63,c_189]) ).

tcf(c_1057,plain,
    ! [X0: $i] :
      ( icext(uri_owl_ReflexiveProperty,X0)
      | ~ iext(X0,sK0(X0),sK0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_395]) ).

tcf(c_2467,plain,
    ~ icext(uri_owl_ReflexiveProperty,uri_ex_p),
    inference(superposition,[status(thm)],[c_55,c_49]) ).

tcf(c_3665,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | ~ iext(uri_owl_equivalentProperty,X0,uri_owl_topObjectProperty) ),
    inference(superposition,[status(thm)],[c_172,c_101]) ).

tcf(c_7498,plain,
    ! [X0: $i,X1: $i] : iext(uri_ex_p,X0,X1),
    inference(superposition,[status(thm)],[c_68,c_3665]) ).

tcf(c_7508,plain,
    icext(uri_owl_ReflexiveProperty,uri_ex_p),
    inference(superposition,[status(thm)],[c_7498,c_1057]) ).

tcf(c_7516,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7508,c_2467]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB049+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/10.99  % Computer : n017.cluster.edu
% 0.09/10.99  % Model    : x86_64 x86_64
% 0.09/10.99  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.99  % Memory   : 8046.5625MB
% 0.09/10.99  % OS       : Linux 6.8.0-71-generic
% 0.09/10.99  % CPULimit : 300
% 0.09/10.99  % WCLimit  : 300
% 0.09/10.99  % DateTime : Thu Sep 24 15:36:14 UTC 2026
% 0.09/10.99  % CPUTime  : 
% 0.09/10.99  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/11.03  Running first-order theorem proving
% 0.09/11.03  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/11.04  
% 0.17/11.04  % ======== iProver multi-core TPTP/SMT =========
% 0.17/11.04  
% 0.17/11.04  % Detected problem language: tptp
% 0.17/11.05  % Proving...
% 7.33/12.37  % SZS status Started for theBenchmark.p
% 7.33/12.37  % SZS status Theorem for theBenchmark.p
% 7.33/12.37  
% 7.33/12.37  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.33/12.37  
% 7.33/12.37  % ------  iProver source info
% 7.33/12.37  
% 7.33/12.37  % git: date: 2026-07-19 20:42:38 +0200
% 7.33/12.37  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.33/12.37  % git: non_committed_changes: false
% 7.33/12.37  
% 7.33/12.37  % ------ Parsing...
% 7.33/12.37  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.33/12.37  
% 7.33/12.37  % ------ Preprocessing... sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 7.33/12.37  
% 7.33/12.37  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.33/12.37  % ------ Proving...
% 7.33/12.37  % ------ Problem Properties 
% 7.33/12.37  
% 7.33/12.37  % 
% 7.33/12.37  % clauses                               44
% 7.33/12.37  % conjectures                           1
% 7.33/12.37  % EPR                                   37
% 7.33/12.37  % Horn                                  41
% 7.33/12.37  % unary                                 18
% 7.33/12.37  % binary                                16
% 7.33/12.37  % lits                                  86
% 7.33/12.37  % lits eq                               0
% 7.33/12.37  % fd_pure                               0
% 7.33/12.37  % fd_pseudo                             0
% 7.33/12.37  % fd_cond                               0
% 7.33/12.37  % fd_pseudo_cond                        0
% 7.33/12.37  % AC symbols                            0
% 7.33/12.37  
% 7.33/12.37  % ------ Schedule dynamic 5 is on 
% 7.33/12.37  
% 7.33/12.37  % ------ no equalities: superposition off 
% 7.33/12.37  
% 7.33/12.37  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.33/12.37  
% 7.33/12.37  
% 7.33/12.37  % ------ 
% 7.33/12.37  % Current options:
% 7.33/12.37  % ------ 
% 7.33/12.37  
% 7.33/12.37  
% 7.33/12.37  % 
% 7.33/12.37  
% 7.33/12.37  % ------ Proving...
% 7.33/12.37  % 
% 7.33/12.37  
% 7.33/12.37  % SZS status Theorem for theBenchmark.p
% 7.33/12.37  
% 7.33/12.37  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.33/12.37  
% 7.33/12.37  
%------------------------------------------------------------------------------