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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB008+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 : n008.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 03:04:22 PM UTC 2026

% Result   : Theorem 245.69s 42.63s
% Output   : CNFRefutation 245.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   36 (  17 unt;   0 def)
%            Number of atoms       :  107 (  20 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  116 (  45   ~;  40   |;  25   &)
%                                         (   5 <=>;   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  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   63 (   0 sgn  54   !;   9   ?;   9   :)

% 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(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(f394,axiom,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).

fof(f559,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

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

fof(f561,axiom,
    ( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f572,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(flattening,[],[f560]) ).

fof(f850,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3)
            | X1 = X2 )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f394]) ).

fof(f851,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3)
            | X1 = X2 )
        & ip(X0) ) ),
    inference(flattening,[],[f850]) ).

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(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(f1419,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3)
              | X1 = X2 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f851]) ).

fof(f1420,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3)
              | X1 = X2 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f1419]) ).

fof(f1421,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6)
              | X4 = X5 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f1420]) ).

fof(f1422,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6)
              | X4 = X5 )
          & ip(X0) ) )
      & ( ( iext(X0,sK226(X0),sK227(X0))
          & iext(X0,sK225(X0),sK227(X0))
          & sK225(X0) != sK226(X0) )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK225,sK226,sK227]),skolemize(X1,sK225(X0)),skolemize(X2,sK226(X0)),skolemize(X3,sK227(X0))],[f1421]) ).

fof(f1485,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f1061]) ).

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

fof(f2516,plain,
    ! [X0,X6,X4,X5] :
      ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ iext(X0,X5,X6)
      | ~ iext(X0,X4,X6)
      | X4 = X5 ),
    inference(cnf_transformation,[],[f1422]) ).

fof(f2749,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f572]) ).

fof(f2750,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f561]) ).

fof(f2751,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f561]) ).

fof(f2752,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f2761,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f2397]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1485]) ).

tcf(c_981,plain,
    ! [X0: $i] : iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f2761]) ).

tcf(c_1097,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ~ icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ iext(X0,X3,X2)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2516]) ).

tcf(c_1326,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f2749]) ).

tcf(c_1328,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f2752]) ).

tcf(c_1329,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f2751]) ).

tcf(c_1330,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f2750]) ).

tcf(c_2417,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
    inference(superposition,[status(thm)],[c_1328,c_75]) ).

tcf(c_2441,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_robert )
      | ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
      | ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz)) ),
    inference(superposition,[status(thm)],[c_1330,c_1097]) ).

tcf(c_2453,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_robert )
      | ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz)) ),
    inference(global_subsumption_just,[status(thm)],[c_2441,c_2417,c_2441]) ).

tcf(c_2597,plain,
    uri_ex_bob = uri_ex_robert,
    inference(superposition,[status(thm)],[c_1329,c_2453]) ).

tcf(c_2624,plain,
    ~ iext(uri_owl_sameAs,uri_ex_robert,uri_ex_robert),
    inference(superposition,[status(thm)],[c_2597,c_1326]) ).

tcf(c_2631,plain,
    $false,
    inference(superposition,[status(thm)],[c_981,c_2624]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB008+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.38  % Computer : n008.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Thu Sep 24 15:23:45 UTC 2026
% 0.11/5.38  % CPUTime  : 
% 0.11/5.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.42  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
% 0.15/5.43  
% 0.15/5.43  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43  
% 0.15/5.43  % Detected problem language: tptp
% 0.15/5.44  % Proving...
% 245.69/42.63  % SZS status Started for theBenchmark.p
% 245.69/42.63  % SZS status Theorem for theBenchmark.p
% 245.69/42.63  
% 245.69/42.63  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 245.69/42.63  
% 245.69/42.63  % ------  iProver source info
% 245.69/42.63  
% 245.69/42.63  % git: date: 2026-07-19 20:42:38 +0200
% 245.69/42.63  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 245.69/42.63  % git: non_committed_changes: false
% 245.69/42.63  
% 245.69/42.63  % ------ Parsing...
% 245.69/42.63  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 245.69/42.63  
% 245.69/42.63  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e % 
% 245.69/42.63  
% 245.69/42.63  % ------ Preprocessing...% 
% 245.69/42.63  
% 245.69/42.63  % ------ Preprocessing... sf_s  rm: 2 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 245.69/42.63  % ------ Proving...
% 245.69/42.63  % ------ Problem Properties 
% 245.69/42.63  
% 245.69/42.63  % 
% 245.69/42.63  % clauses                               1183
% 245.69/42.63  % conjectures                           1
% 245.69/42.63  % EPR                                   720
% 245.69/42.63  % Horn                                  913
% 245.69/42.63  % unary                                 213
% 245.69/42.63  % binary                                465
% 245.69/42.63  % lits                                  3828
% 245.69/42.63  % lits eq                               197
% 245.69/42.63  % fd_pure                               0
% 245.69/42.63  % fd_pseudo                             0
% 245.69/42.63  % fd_cond                               0
% 245.69/42.63  % fd_pseudo_cond                        66
% 245.69/42.63  % AC symbols                            0
% 245.69/42.63  
% 245.69/42.63  % ------ Input Options Time Limit: Unbounded
% 245.69/42.63  
% 245.69/42.63  
% 245.69/42.63  % ------ 
% 245.69/42.63  % Current options:
% 245.69/42.63  % ------ 
% 245.69/42.63  
% 245.69/42.63  
% 245.69/42.63  % 
% 245.69/42.63  
% 245.69/42.63  % ------ Proving...
% 245.69/42.63  % 
% 245.69/42.63  
% 245.69/42.63  % SZS status Theorem for theBenchmark.p
% 245.69/42.63  
% 245.69/42.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 245.69/42.63  
% 245.69/42.63  
%------------------------------------------------------------------------------