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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB018+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 : n002.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 03:04:27 PM UTC 2026

% Result   : Theorem 42.70s 8.88s
% Output   : CNFRefutation 42.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :   98 (   4 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  110 (  44   ~;  38   |;  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  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   57 (   0 sgn  51   !;   6   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
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(f341,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X2) )
        & ic(X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_domain) ).

fof(f354,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

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

fof(f561,axiom,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(f572,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(flattening,[],[f560]) ).

fof(f789,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | icext(X1,X2) )
        & ic(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f341]) ).

fof(f1061,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(f1304,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_domain,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | icext(X1,X2) )
          & ic(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_domain,X0,X1) ) ),
    inference(nnf_transformation,[],[f789]) ).

fof(f1305,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_domain,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | icext(X1,X2) )
          & ic(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_domain,X0,X1) ) ),
    inference(flattening,[],[f1304]) ).

fof(f1306,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_domain,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | icext(X1,X4) )
          & ic(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_domain,X0,X1) ) ),
    inference(rectify,[],[f1305]) ).

fof(f1307,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_domain,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | icext(X1,X4) )
          & ic(X1)
          & ip(X0) ) )
      & ( ( iext(X0,sK163(X0,X1),sK164(X0,X1))
          & ~ icext(X1,sK163(X0,X1)) )
        | ~ ic(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_domain,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK163,sK164]),skolemize(X2,sK163(X0,X1)),skolemize(X3,sK164(X0,X1))],[f1306]) ).

fof(f1362,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_sameAs,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f354]) ).

fof(f1486,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1061]) ).

fof(f2300,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X4,X5)
      | icext(X1,X4) ),
    inference(cnf_transformation,[],[f1307]) ).

fof(f2397,plain,
    ! [X0,X1] :
      ( X0 != X1
      | iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[],[f1362]) ).

fof(f2749,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnf_transformation,[],[f572]) ).

fof(f2751,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[],[f561]) ).

fof(f2759,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f2397]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f1486]) ).

tcf(c_893,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X3,X1)
      | ~ iext(uri_rdfs_domain,X0,X3)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2300]) ).

tcf(c_981,plain,
    ! [X0: $i] : iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f2759]) ).

tcf(c_1326,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnf_transformation,[],[f2749]) ).

tcf(c_1327,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[],[f2751]) ).

tcf(c_93051,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(demodulation,[status(thm)],[c_1326]) ).

tcf(c_115435,plain,
    ~ icext(uri_ex_Person,uri_ex_u),
    inference(superposition,[status(thm)],[c_74,c_93051]) ).

tcf(c_154614,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_ex_Person,uri_ex_u)
      | ~ iext(uri_rdfs_domain,X0,uri_ex_Person)
      | ~ iext(X0,uri_ex_u,X1) ),
    inference(instantiation,[status(thm)],[c_893]) ).

tcf(c_156903,plain,
    ! [X0: $i] :
      ( icext(uri_ex_Person,uri_ex_u)
      | ~ iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
      | ~ iext(uri_owl_sameAs,uri_ex_u,X0) ),
    inference(instantiation,[status(thm)],[c_154614]) ).

tcf(c_161389,plain,
    ( icext(uri_ex_Person,uri_ex_u)
    | ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u)
    | ~ iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    inference(instantiation,[status(thm)],[c_156903]) ).

tcf(c_161390,plain,
    iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
    inference(instantiation,[status(thm)],[c_981]) ).

tcf(c_161391,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_161390,c_161389,c_115435,c_1327]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB018+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n002.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 15:31:49 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 42.70/8.88  % SZS status Started for theBenchmark.p
% 42.70/8.88  % SZS status Theorem for theBenchmark.p
% 42.70/8.88  
% 42.70/8.88  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 42.70/8.88  
% 42.70/8.88  % ------  iProver source info
% 42.70/8.88  
% 42.70/8.88  % git: date: 2026-07-19 20:42:38 +0200
% 42.70/8.88  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 42.70/8.88  % git: non_committed_changes: false
% 42.70/8.88  
% 42.70/8.88  % ------ Parsing...
% 42.70/8.88  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 42.70/8.88  
% 42.70/8.88  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 42.70/8.88  
% 42.70/8.88  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 42.70/8.88  
% 42.70/8.88  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 42.70/8.88  % ------ Proving...
% 42.70/8.88  % ------ Problem Properties 
% 42.70/8.88  
% 42.70/8.88  % 
% 42.70/8.88  % clauses                               1171
% 42.70/8.88  % conjectures                           1
% 42.70/8.88  % EPR                                   711
% 42.70/8.88  % Horn                                  902
% 42.70/8.88  % unary                                 227
% 42.70/8.88  % binary                                455
% 42.70/8.88  % lits                                  3732
% 42.70/8.88  % lits eq                               197
% 42.70/8.88  % fd_pure                               0
% 42.70/8.88  % fd_pseudo                             0
% 42.70/8.88  % fd_cond                               0
% 42.70/8.88  % fd_pseudo_cond                        66
% 42.70/8.88  % AC symbols                            0
% 42.70/8.88  
% 42.70/8.88  % ------ Schedule dynamic 5 is on 
% 42.70/8.88  
% 42.70/8.88  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 42.70/8.88  
% 42.70/8.88  
% 42.70/8.88  % ------ 
% 42.70/8.88  % Current options:
% 42.70/8.88  % ------ 
% 42.70/8.88  
% 42.70/8.88  
% 42.70/8.88  % 
% 42.70/8.88  
% 42.70/8.88  % ------ Proving...
% 42.70/8.88  % 
% 42.70/8.88  
% 42.70/8.88  % SZS status Theorem for theBenchmark.p
% 42.70/8.88  
% 42.70/8.88  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 42.70/8.88  
% 42.70/8.88  
%------------------------------------------------------------------------------