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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB009+2 : 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 : n007.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 03:04:23 PM UTC 2026

% Result   : Theorem 1.67s 1.29s
% Output   : CNFRefutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   42 (   7 unt;   0 def)
%            Number of atoms       :  134 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  163 (  71   ~;  64   |;  23   &)
%                                         (   4 <=>;   1  =>;   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  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   75 (   0 sgn  67   !;   8   ?;  22   :)

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

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_someValuesFrom,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).

fof(f3,conjecture,
    ? [X0] :
      ( iext(uri_rdf_type,X0,uri_ex_c)
      & iext(uri_ex_p,uri_ex_s,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(f4,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_rdf_type,X0,uri_ex_c)
        & iext(uri_ex_p,uri_ex_s,X0) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,axiom,
    ? [X0] :
      ( iext(uri_owl_someValuesFrom,X0,uri_ex_c)
      & iext(uri_owl_onProperty,X0,uri_ex_p)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,X0)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(f6,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f7,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ? [X4] :
                ( icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ? [X5] :
                ( icext(X2,X5)
                & iext(X1,X3,X5) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ( icext(X2,sK0(X1,X2,X3))
              & iext(X1,X3,sK0(X1,X2,X3)) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X5,sK0(X1,X2,X3))],[f11]) ).

fof(f13,plain,
    ( iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
    & iext(uri_owl_onProperty,sK1,uri_ex_p)
    & iext(uri_rdf_type,sK1,uri_owl_Restriction)
    & iext(uri_rdf_type,uri_ex_s,sK1)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f5]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f16,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | icext(X2,sK0(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f17,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | iext(X1,X3,sK0(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f20,plain,
    iext(uri_owl_someValuesFrom,sK1,uri_ex_c),
    inference(cnf_transformation,[],[f13]) ).

fof(f21,plain,
    iext(uri_owl_onProperty,sK1,uri_ex_p),
    inference(cnf_transformation,[],[f13]) ).

fof(f23,plain,
    iext(uri_rdf_type,uri_ex_s,sK1),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X2,X3,sK0(X2,X1,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X2)
      | ~ iext(uri_owl_someValuesFrom,X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X1,sK0(X2,X1,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X2)
      | ~ iext(uri_owl_someValuesFrom,X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_54,negated_conjecture,
    ! [X0: $i] :
      ( ~ iext(uri_ex_p,uri_ex_s,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_57,plain,
    iext(uri_rdf_type,uri_ex_s,sK1),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_59,plain,
    iext(uri_owl_onProperty,sK1,uri_ex_p),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_60,plain,
    iext(uri_owl_someValuesFrom,sK1,uri_ex_c),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_116,negated_conjecture,
    ! [X0: $i] :
      ( ~ iext(uri_ex_p,uri_ex_s,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(demodulation,[status(thm)],[c_54]) ).

tcf(c_119,plain,
    ( icext(sK1,uri_ex_s)
    | ~ iext(uri_rdf_type,uri_ex_s,sK1) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_138,plain,
    ! [X0: $i,X1: $i] :
      ( iext(X1,uri_ex_s,sK0(X1,X0,uri_ex_s))
      | ~ icext(sK1,uri_ex_s)
      | ~ iext(uri_owl_onProperty,sK1,X1)
      | ~ iext(uri_owl_someValuesFrom,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_139,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X0,sK0(X1,X0,uri_ex_s))
      | ~ icext(sK1,uri_ex_s)
      | ~ iext(uri_owl_onProperty,sK1,X1)
      | ~ iext(uri_owl_someValuesFrom,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_149,plain,
    ! [X0: $i] :
      ( iext(X0,uri_ex_s,sK0(X0,uri_ex_c,uri_ex_s))
      | ~ icext(sK1,uri_ex_s)
      | ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
      | ~ iext(uri_owl_onProperty,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_138]) ).

tcf(c_151,plain,
    ! [X0: $i] :
      ( icext(uri_ex_c,sK0(X0,uri_ex_c,uri_ex_s))
      | ~ icext(sK1,uri_ex_s)
      | ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
      | ~ iext(uri_owl_onProperty,sK1,X0) ),
    inference(instantiation,[status(thm)],[c_139]) ).

tcf(c_153,plain,
    ! [X0: $i] :
      ( iext(uri_rdf_type,sK0(X0,uri_ex_c,uri_ex_s),uri_ex_c)
      | ~ icext(uri_ex_c,sK0(X0,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_173,plain,
    ! [X0: $i] :
      ( ~ iext(uri_ex_p,uri_ex_s,sK0(X0,uri_ex_c,uri_ex_s))
      | ~ iext(uri_rdf_type,sK0(X0,uri_ex_c,uri_ex_s),uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_116]) ).

tcf(c_195,plain,
    ( icext(uri_ex_c,sK0(uri_ex_p,uri_ex_c,uri_ex_s))
    | ~ icext(sK1,uri_ex_s)
    | ~ iext(uri_owl_onProperty,sK1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_151]) ).

tcf(c_196,plain,
    ( iext(uri_ex_p,uri_ex_s,sK0(uri_ex_p,uri_ex_c,uri_ex_s))
    | ~ icext(sK1,uri_ex_s)
    | ~ iext(uri_owl_onProperty,sK1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_149]) ).

tcf(c_207,plain,
    ( iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c)
    | ~ icext(uri_ex_c,sK0(uri_ex_p,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_153]) ).

tcf(c_251,plain,
    ( ~ iext(uri_ex_p,uri_ex_s,sK0(uri_ex_p,uri_ex_c,uri_ex_s))
    | ~ iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_173]) ).

tcf(c_252,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_251,c_207,c_196,c_195,c_119,c_57,c_59,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n007.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Thu Sep 24 15:21:37 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.43  % Proving...
% 1.67/1.29  % SZS status Started for theBenchmark.p
% 1.67/1.29  % SZS status Theorem for theBenchmark.p
% 1.67/1.29  
% 1.67/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.67/1.29  
% 1.67/1.29  % ------  iProver source info
% 1.67/1.29  
% 1.67/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 1.67/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.67/1.29  % git: non_committed_changes: false
% 1.67/1.29  
% 1.67/1.29  % ------ Parsing...
% 1.67/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.67/1.29  
% 1.67/1.29  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.67/1.29  
% 1.67/1.29  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.67/1.29  % ------ Proving...
% 1.67/1.29  % ------ Problem Properties 
% 1.67/1.29  
% 1.67/1.29  % 
% 1.67/1.29  % clauses                               12
% 1.67/1.29  % conjectures                           1
% 1.67/1.29  % EPR                                   10
% 1.67/1.29  % Horn                                  12
% 1.67/1.29  % unary                                 6
% 1.67/1.29  % binary                                3
% 1.67/1.29  % lits                                  25
% 1.67/1.29  % lits eq                               0
% 1.67/1.29  % fd_pure                               0
% 1.67/1.29  % fd_pseudo                             0
% 1.67/1.29  % fd_cond                               0
% 1.67/1.29  % fd_pseudo_cond                        0
% 1.67/1.29  % AC symbols                            0
% 1.67/1.29  
% 1.67/1.29  % ------ Schedule dynamic 5 is on 
% 1.67/1.29  
% 1.67/1.29  % ------ no equalities: superposition off 
% 1.67/1.29  
% 1.67/1.29  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.67/1.29  
% 1.67/1.29  
% 1.67/1.29  % ------ 
% 1.67/1.29  % Current options:
% 1.67/1.29  % ------ 
% 1.67/1.29  
% 1.67/1.29  
% 1.67/1.29  % 
% 1.67/1.29  
% 1.67/1.29  % ------ Proving...
% 1.67/1.29  % 
% 1.67/1.29  
% 1.67/1.29  % SZS status Theorem for theBenchmark.p
% 1.67/1.29  
% 1.67/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.67/1.29  
% 1.67/1.29  
%------------------------------------------------------------------------------