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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB065+1 : 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 : n003.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 03:04:36 PM UTC 2026

% Result   : Theorem 7.10s 6.77s
% Output   : CNFRefutation 7.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   40 (  19 unt;   0 def)
%            Number of atoms       :  138 (  29 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  160 (  62   ~;  61   |;  28   &)
%                                         (   8 <=>;   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 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   62 (   0 sgn  57   !;   5   ?;  12   :)

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

fof(f295,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).

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

fof(f559,conjecture,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_sameas_ext) ).

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

fof(f561,axiom,
    ? [X0,X1] :
      ( iext(uri_rdf_type,uri_ex_w,X1)
      & iext(uri_owl_oneOf,X1,X0)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_u) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_sameas_ext) ).

fof(f562,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f560]) ).

fof(f581,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    inference(ennf_transformation,[],[f295]) ).

fof(f582,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    inference(flattening,[],[f581]) ).

fof(f646,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_sameAs,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f354]) ).

fof(f647,plain,
    ( iext(uri_rdf_type,uri_ex_w,sK11)
    & iext(uri_owl_oneOf,sK11,sK10)
    & iext(uri_rdf_rest,sK10,uri_rdf_nil)
    & iext(uri_rdf_first,sK10,uri_ex_u) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f561]) ).

fof(f651,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(f663,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X3] :
                ( ( ~ icext(X0,X3)
                  | X3 = X2 )
                & ( X2 != X3
                  | icext(X0,X3) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(nnf_transformation,[],[f582]) ).

fof(f664,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X3] :
                ( ( ~ icext(X0,X3)
                  | X3 = X2 )
                & ( X2 != X3
                  | icext(X0,X3) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(flattening,[],[f663]) ).

fof(f665,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X4] :
                ( ( ~ icext(X0,X4)
                  | X2 = X4 )
                & ( X2 != X4
                  | icext(X0,X4) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(rectify,[],[f664]) ).

fof(f666,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X4] :
                ( ( ~ icext(X0,X4)
                  | X2 = X4 )
                & ( X2 != X4
                  | icext(X0,X4) ) )
            & ic(X0) ) )
        & ( ( ( icext(X0,sK15(X0,X2))
              | sK15(X0,X2) = X2 )
            & ( ~ icext(X0,sK15(X0,X2))
              | sK15(X0,X2) != X2 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X3,sK15(X0,X2))],[f665]) ).

fof(f726,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f562]) ).

fof(f728,plain,
    ! [X0,X1] :
      ( X0 != X1
      | iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[],[f646]) ).

fof(f732,plain,
    iext(uri_rdf_type,uri_ex_w,sK11),
    inference(cnf_transformation,[],[f647]) ).

fof(f733,plain,
    iext(uri_owl_oneOf,sK11,sK10),
    inference(cnf_transformation,[],[f647]) ).

fof(f734,plain,
    iext(uri_rdf_rest,sK10,uri_rdf_nil),
    inference(cnf_transformation,[],[f647]) ).

fof(f735,plain,
    iext(uri_rdf_first,sK10,uri_ex_u),
    inference(cnf_transformation,[],[f647]) ).

fof(f751,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f651]) ).

fof(f781,plain,
    ! [X2,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ icext(X0,X4)
      | X2 = X4 ),
    inference(cnf_transformation,[],[f666]) ).

fof(f926,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f728]) ).

tcf(c_49,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f726]) ).

tcf(c_50,plain,
    ! [X0: $i] : iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f926]) ).

tcf(c_55,plain,
    iext(uri_rdf_first,sK10,uri_ex_u),
    inference(cnf_transformation,[],[f735]) ).

tcf(c_56,plain,
    iext(uri_rdf_rest,sK10,uri_rdf_nil),
    inference(cnf_transformation,[],[f734]) ).

tcf(c_57,plain,
    iext(uri_owl_oneOf,sK11,sK10),
    inference(cnf_transformation,[],[f733]) ).

tcf(c_58,plain,
    iext(uri_rdf_type,uri_ex_w,sK11),
    inference(cnf_transformation,[],[f732]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f751]) ).

tcf(c_108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ~ icext(X2,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_owl_oneOf,X2,X0)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[],[f781]) ).

tcf(c_17388,plain,
    icext(sK11,uri_ex_w),
    inference(superposition,[status(thm)],[c_58,c_75]) ).

tcf(c_20024,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = uri_ex_u )
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_rest,sK10,uri_rdf_nil)
      | ~ iext(uri_owl_oneOf,X0,sK10) ),
    inference(superposition,[status(thm)],[c_55,c_108]) ).

tcf(c_20027,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = uri_ex_u )
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20024,c_56]) ).

tcf(c_20576,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_u )
      | ~ icext(sK11,X0) ),
    inference(superposition,[status(thm)],[c_57,c_20027]) ).

tcf(c_20838,plain,
    uri_ex_w = uri_ex_u,
    inference(superposition,[status(thm)],[c_17388,c_20576]) ).

tcf(c_20892,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
    inference(demodulation,[status(thm)],[c_49,c_20838]) ).

tcf(c_20893,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_20892,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB065+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.39  % Computer : n003.cluster.edu
% 0.13/5.39  % Model    : x86_64 x86_64
% 0.13/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39  % Memory   : 8046.5625MB
% 0.13/5.39  % OS       : Linux 6.8.0-71-generic
% 0.13/5.39  % CPULimit : 300
% 0.13/5.39  % WCLimit  : 300
% 0.13/5.39  % DateTime : Thu Sep 24 15:45:27 UTC 2026
% 0.17/5.40  % CPUTime  : 
% 0.17/5.40  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/5.44  Running first-order theorem proving
% 0.17/5.44  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
% 0.17/5.45  
% 0.17/5.45  % ======== iProver multi-core TPTP/SMT =========
% 0.17/5.45  
% 0.17/5.45  % Detected problem language: tptp
% 0.17/5.46  % Proving...
% 7.10/6.77  % SZS status Started for theBenchmark.p
% 7.10/6.77  % SZS status Theorem for theBenchmark.p
% 7.10/6.77  
% 7.10/6.77  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.10/6.77  
% 7.10/6.77  % ------  iProver source info
% 7.10/6.77  
% 7.10/6.77  % git: date: 2026-07-19 20:42:38 +0200
% 7.10/6.77  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.10/6.77  % git: non_committed_changes: false
% 7.10/6.77  
% 7.10/6.77  % ------ Parsing...
% 7.10/6.77  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.10/6.77  
% 7.10/6.77  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 7.10/6.77  
% 7.10/6.77  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 7.10/6.77  
% 7.10/6.77  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.10/6.77  % ------ Proving...
% 7.10/6.77  % ------ Problem Properties 
% 7.10/6.77  
% 7.10/6.77  % 
% 7.10/6.77  % clauses                               169
% 7.10/6.77  % conjectures                           1
% 7.10/6.77  % EPR                                   129
% 7.10/6.77  % Horn                                  145
% 7.10/6.77  % unary                                 30
% 7.10/6.77  % binary                                42
% 7.10/6.77  % lits                                  640
% 7.10/6.77  % lits eq                               27
% 7.10/6.77  % fd_pure                               0
% 7.10/6.77  % fd_pseudo                             0
% 7.10/6.77  % fd_cond                               0
% 7.10/6.77  % fd_pseudo_cond                        8
% 7.10/6.77  % AC symbols                            0
% 7.10/6.77  
% 7.10/6.77  % ------ Schedule dynamic 5 is on 
% 7.10/6.77  
% 7.10/6.77  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.10/6.77  
% 7.10/6.77  
% 7.10/6.77  % ------ 
% 7.10/6.77  % Current options:
% 7.10/6.77  % ------ 
% 7.10/6.77  
% 7.10/6.77  
% 7.10/6.77  % 
% 7.10/6.77  
% 7.10/6.77  % ------ Proving...
% 7.10/6.77  % 
% 7.10/6.77  
% 7.10/6.77  % SZS status Theorem for theBenchmark.p
% 7.10/6.77  
% 7.10/6.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.10/6.78  
% 7.10/6.78  
%------------------------------------------------------------------------------