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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB009+3 : 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 : n006.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 15.43s 3.28s
% Output   : CNFRefutation 15.43s
% 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 :  162 (  70   ~;  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   :   77 (   0 sgn  69   !;   8   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,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/sandbox/benchmark/Axioms/SWB002+0.ax',owl_restrict_somevaluesfrom) ).

fof(f80,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB002+0.ax',rdfs_cext_def) ).

fof(f139,conjecture,
    ? [X0] :
      ( iext(uri_rdf_type,X0,uri_ex_c)
      & iext(uri_ex_p,uri_ex_s,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(f140,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_rdf_type,X0,uri_ex_c)
        & iext(uri_ex_p,uri_ex_s,X0) ),
    inference(negated_conjecture,[status(cth)],[f139]) ).

fof(f141,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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(f192,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,[],[f58]) ).

fof(f193,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,[],[f192]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(ennf_transformation,[],[f140]) ).

fof(f292,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,[],[f193]) ).

fof(f293,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,[],[f292]) ).

fof(f294,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ( icext(X2,sK25(X1,X2,X3))
              & iext(X1,X3,sK25(X1,X2,X3)) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X5,sK25(X1,X2,X3))],[f293]) ).

fof(f296,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f300,plain,
    ( iext(uri_owl_someValuesFrom,sK26,uri_ex_c)
    & iext(uri_owl_onProperty,sK26,uri_ex_p)
    & iext(uri_rdf_type,sK26,uri_owl_Restriction)
    & iext(uri_rdf_type,uri_ex_s,sK26)
    & 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,[sK26]),skolemize(X0,sK26)],[f141]) ).

fof(f463,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | icext(X2,sK25(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f294]) ).

fof(f464,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | iext(X1,X3,sK25(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f294]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f489,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f555,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f556,plain,
    iext(uri_owl_someValuesFrom,sK26,uri_ex_c),
    inference(cnf_transformation,[],[f300]) ).

fof(f557,plain,
    iext(uri_owl_onProperty,sK26,uri_ex_p),
    inference(cnf_transformation,[],[f300]) ).

fof(f559,plain,
    iext(uri_rdf_type,uri_ex_s,sK26),
    inference(cnf_transformation,[],[f300]) ).

tcf(c_212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X1,X3,sK25(X1,X2,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[],[f464]) ).

tcf(c_213,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X2,sK25(X1,X2,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[],[f463]) ).

tcf(c_236,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f489]) ).

tcf(c_237,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f488]) ).

tcf(c_303,negated_conjecture,
    ! [X0: $i] :
      ( ~ iext(uri_ex_p,uri_ex_s,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(cnf_transformation,[],[f555]) ).

tcf(c_306,plain,
    iext(uri_rdf_type,uri_ex_s,sK26),
    inference(cnf_transformation,[],[f559]) ).

tcf(c_308,plain,
    iext(uri_owl_onProperty,sK26,uri_ex_p),
    inference(cnf_transformation,[],[f557]) ).

tcf(c_309,plain,
    iext(uri_owl_someValuesFrom,sK26,uri_ex_c),
    inference(cnf_transformation,[],[f556]) ).

tcf(c_9929,plain,
    ! [X0: $i] :
      ( ~ iext(uri_ex_p,uri_ex_s,sK25(uri_ex_p,X0,uri_ex_s))
      | ~ iext(uri_rdf_type,sK25(uri_ex_p,X0,uri_ex_s),uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_303]) ).

tcf(c_9984,plain,
    ! [X0: $i] :
      ( icext(X0,uri_ex_s)
      | ~ iext(uri_rdf_type,uri_ex_s,X0) ),
    inference(instantiation,[status(thm)],[c_237]) ).

tcf(c_9994,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_ex_p,uri_ex_s,sK25(uri_ex_p,X1,uri_ex_s))
      | ~ icext(X0,uri_ex_s)
      | ~ iext(uri_owl_onProperty,X0,uri_ex_p)
      | ~ iext(uri_owl_someValuesFrom,X0,X1) ),
    inference(instantiation,[status(thm)],[c_212]) ).

tcf(c_10222,plain,
    ( icext(sK26,uri_ex_s)
    | ~ iext(uri_rdf_type,uri_ex_s,sK26) ),
    inference(instantiation,[status(thm)],[c_9984]) ).

tcf(c_11287,plain,
    ! [X0: $i] :
      ( iext(uri_ex_p,uri_ex_s,sK25(uri_ex_p,X0,uri_ex_s))
      | ~ icext(sK26,uri_ex_s)
      | ~ iext(uri_owl_onProperty,sK26,uri_ex_p)
      | ~ iext(uri_owl_someValuesFrom,sK26,X0) ),
    inference(instantiation,[status(thm)],[c_9994]) ).

tcf(c_12223,plain,
    ( iext(uri_ex_p,uri_ex_s,sK25(uri_ex_p,uri_ex_c,uri_ex_s))
    | ~ icext(sK26,uri_ex_s)
    | ~ iext(uri_owl_someValuesFrom,sK26,uri_ex_c)
    | ~ iext(uri_owl_onProperty,sK26,uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_11287]) ).

tcf(c_13438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(uri_rdf_type,sK25(X1,X0,X2),X0)
      | ~ icext(X0,sK25(X1,X0,X2)) ),
    inference(instantiation,[status(thm)],[c_236]) ).

tcf(c_16026,plain,
    ( ~ iext(uri_ex_p,uri_ex_s,sK25(uri_ex_p,uri_ex_c,uri_ex_s))
    | ~ iext(uri_rdf_type,sK25(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_9929]) ).

tcf(c_18302,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_ex_c,sK25(X0,uri_ex_c,X1))
      | ~ icext(sK26,X1)
      | ~ iext(uri_owl_someValuesFrom,sK26,uri_ex_c)
      | ~ iext(uri_owl_onProperty,sK26,X0) ),
    inference(instantiation,[status(thm)],[c_213]) ).

tcf(c_26770,plain,
    ! [X0: $i] :
      ( icext(uri_ex_c,sK25(uri_ex_p,uri_ex_c,X0))
      | ~ icext(sK26,X0)
      | ~ iext(uri_owl_someValuesFrom,sK26,uri_ex_c)
      | ~ iext(uri_owl_onProperty,sK26,uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_18302]) ).

tcf(c_32312,plain,
    ( icext(uri_ex_c,sK25(uri_ex_p,uri_ex_c,uri_ex_s))
    | ~ icext(sK26,uri_ex_s)
    | ~ iext(uri_owl_someValuesFrom,sK26,uri_ex_c)
    | ~ iext(uri_owl_onProperty,sK26,uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_26770]) ).

tcf(c_34015,plain,
    ( iext(uri_rdf_type,sK25(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c)
    | ~ icext(uri_ex_c,sK25(uri_ex_p,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_13438]) ).

tcf(c_34016,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_34015,c_32312,c_16026,c_12223,c_10222,c_306,c_308,c_309]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n006.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 15:23:41 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 0.10/0.41  
% 0.10/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41  
% 0.10/0.41  % Detected problem language: tptp
% 0.10/0.42  % Proving...
% 15.43/3.28  % SZS status Started for theBenchmark.p
% 15.43/3.28  % SZS status Theorem for theBenchmark.p
% 15.43/3.28  
% 15.43/3.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.43/3.28  
% 15.43/3.28  % ------  iProver source info
% 15.43/3.28  
% 15.43/3.28  % git: date: 2026-07-19 20:42:38 +0200
% 15.43/3.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.43/3.28  % git: non_committed_changes: false
% 15.43/3.28  
% 15.43/3.28  % ------ Parsing...
% 15.43/3.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 15.43/3.28  
% 15.43/3.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 15.43/3.28  
% 15.43/3.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 15.43/3.28  % ------ Proving...
% 15.43/3.28  % ------ Problem Properties 
% 15.43/3.28  
% 15.43/3.28  % 
% 15.43/3.28  % clauses                               218
% 15.43/3.28  % conjectures                           1
% 15.43/3.28  % EPR                                   186
% 15.43/3.28  % Horn                                  200
% 15.43/3.28  % unary                                 78
% 15.43/3.28  % binary                                60
% 15.43/3.28  % lits                                  555
% 15.43/3.28  % lits eq                               0
% 15.43/3.28  % fd_pure                               0
% 15.43/3.28  % fd_pseudo                             0
% 15.43/3.28  % fd_cond                               0
% 15.43/3.28  % fd_pseudo_cond                        0
% 15.43/3.28  % AC symbols                            0
% 15.43/3.28  
% 15.43/3.28  % ------ Input Options Time Limit: Unbounded
% 15.43/3.28  
% 15.43/3.28  
% 15.43/3.28  % ------ 
% 15.43/3.28  % Current options:
% 15.43/3.28  % ------ 
% 15.43/3.28  
% 15.43/3.28  
% 15.43/3.28  % 
% 15.43/3.28  
% 15.43/3.28  % ------ Proving...
% 15.43/3.28  % 
% 15.43/3.28  
% 15.43/3.28  % SZS status Theorem for theBenchmark.p
% 15.43/3.28  
% 15.43/3.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.43/3.28  
% 15.43/3.28  
%------------------------------------------------------------------------------