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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB057+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 : n001.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 25.09s 4.30s
% Output   : CNFRefutation 25.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   33 (  16 unt;   0 def)
%            Number of atoms       :   69 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   64 (  28   ~;  18   |;  13   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   33 (   0 sgn  32   !;   1   ?;   8   :)

% 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(f278,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_bool_complementof_class) ).

fof(f345,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(f559,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_different_ext) ).

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

fof(f561,axiom,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
      & iext(uri_owl_complementOf,X0,uri_ex_c)
      & iext(uri_rdf_type,uri_ex_u,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_different_ext) ).

fof(f572,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f560]) ).

fof(f671,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f278]) ).

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(f1092,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ( ! [X2] :
            ( ( ~ icext(X0,X2)
              | ~ icext(X1,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        & ic(X1)
        & ic(X0) ) ),
    inference(nnf_transformation,[],[f671]) ).

fof(f1320,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_differentFrom,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f345]) ).

fof(f1460,plain,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_owl_complementOf,sK251,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_u,sK251) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK251]),skolemize(X0,sK251)],[f561]) ).

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

fof(f1827,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f1092]) ).

fof(f2322,plain,
    ! [X0,X1] :
      ( X0 = X1
      | iext(uri_owl_differentFrom,X0,X1) ),
    inference(cnf_transformation,[],[f1320]) ).

fof(f2750,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f572]) ).

fof(f2751,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2752,plain,
    iext(uri_owl_complementOf,sK251,uri_ex_c),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2753,plain,
    iext(uri_rdf_type,uri_ex_u,sK251),
    inference(cnf_transformation,[],[f1460]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1486]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f1827]) ).

tcf(c_909,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_owl_differentFrom,X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f2322]) ).

tcf(c_1326,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f2750]) ).

tcf(c_1327,plain,
    iext(uri_rdf_type,uri_ex_u,sK251),
    inference(cnf_transformation,[],[f2753]) ).

tcf(c_1328,plain,
    iext(uri_owl_complementOf,sK251,uri_ex_c),
    inference(cnf_transformation,[],[f2752]) ).

tcf(c_1329,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f2751]) ).

tcf(c_3954,plain,
    ( icext(uri_ex_c,uri_ex_w)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_75]) ).

tcf(c_6021,plain,
    ! [X0: $i] :
      ( ~ icext(uri_ex_c,X0)
      | ~ icext(sK251,X0) ),
    inference(superposition,[status(thm)],[c_1328,c_418]) ).

tcf(c_7659,plain,
    icext(sK251,uri_ex_u),
    inference(superposition,[status(thm)],[c_1327,c_75]) ).

tcf(c_8646,plain,
    ~ icext(uri_ex_c,uri_ex_u),
    inference(superposition,[status(thm)],[c_7659,c_6021]) ).

tcf(c_9327,plain,
    uri_ex_w = uri_ex_u,
    inference(superposition,[status(thm)],[c_909,c_1326]) ).

tcf(c_9355,plain,
    ~ icext(uri_ex_c,uri_ex_w),
    inference(superposition,[status(thm)],[c_9327,c_8646]) ).

tcf(c_9360,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9355,c_3954,c_1329]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n001.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
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 15:48:07 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40  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...
% 25.09/4.30  % SZS status Started for theBenchmark.p
% 25.09/4.30  % SZS status Theorem for theBenchmark.p
% 25.09/4.30  
% 25.09/4.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.09/4.30  
% 25.09/4.30  % ------  iProver source info
% 25.09/4.30  
% 25.09/4.30  % git: date: 2026-07-19 20:42:38 +0200
% 25.09/4.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.09/4.30  % git: non_committed_changes: false
% 25.09/4.30  
% 25.09/4.30  % ------ Parsing...
% 25.09/4.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 25.09/4.30  
% 25.09/4.30  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e % 
% 25.09/4.30  
% 25.09/4.30  % ------ Preprocessing...% 
% 25.09/4.30  
% 25.09/4.30  % ------ Preprocessing... sf_s  rm: 2 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 25.09/4.30  % ------ Proving...
% 25.09/4.30  % ------ Problem Properties 
% 25.09/4.30  
% 25.09/4.30  % 
% 25.09/4.30  % clauses                               1182
% 25.09/4.30  % conjectures                           111
% 25.09/4.30  % EPR                                   721
% 25.09/4.30  % Horn                                  912
% 25.09/4.30  % unary                                 212
% 25.09/4.30  % binary                                465
% 25.09/4.30  % lits                                  3827
% 25.09/4.30  % lits eq                               197
% 25.09/4.30  % fd_pure                               0
% 25.09/4.30  % fd_pseudo                             0
% 25.09/4.30  % fd_cond                               0
% 25.09/4.30  % fd_pseudo_cond                        66
% 25.09/4.30  % AC symbols                            0
% 25.09/4.30  
% 25.09/4.30  % ------ Input Options Time Limit: Unbounded
% 25.09/4.30  
% 25.09/4.30  
% 25.09/4.30  % ------ 
% 25.09/4.30  % Current options:
% 25.09/4.30  % ------ 
% 25.09/4.30  
% 25.09/4.30  
% 25.09/4.30  % 
% 25.09/4.30  
% 25.09/4.30  % ------ Proving...
% 25.09/4.30  % 
% 25.09/4.30  
% 25.09/4.30  % SZS status Theorem for theBenchmark.p
% 25.09/4.30  
% 25.09/4.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.09/4.30  
% 25.09/4.30  
%------------------------------------------------------------------------------