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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB008+2 : 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 : n026.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 1.86s 6.30s
% Output   : CNFRefutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   38 (  17 unt;   0 def)
%            Number of atoms       :  117 (  24 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  133 (  54   ~;  48   |;  25   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   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   :   73 (   0 sgn  64   !;   9   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f3,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/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f4,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f5,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f7,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(flattening,[],[f5]) ).

fof(f8,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,[],[f3]) ).

fof(f9,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3)
            | X1 = X2 )
        & ip(X0) ) ),
    inference(flattening,[],[f8]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_sameAs,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f12,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,[],[f9]) ).

fof(f13,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,[],[f12]) ).

fof(f14,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,[],[f13]) ).

fof(f15,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6)
              | X4 = X5 )
          & ip(X0) ) )
      & ( ( iext(X0,sK1(X0),sK2(X0))
          & iext(X0,sK0(X0),sK2(X0))
          & sK0(X0) != sK1(X0) )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f14]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( X0 != X1
      | iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f20,plain,
    ! [X0,X6,X4,X5] :
      ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ iext(X0,X5,X6)
      | ~ iext(X0,X4,X6)
      | X4 = X5 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f25,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f7]) ).

fof(f26,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f6]) ).

fof(f27,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f19]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_51,plain,
    ! [X0: $i] : iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_57,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,[],[f20]) ).

tcf(c_58,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_60,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_61,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_62,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X3 = X5 )
      | ~ iext(uri_rdf_type,X0,X2)
      | ~ iext(X1,X5,X4)
      | ~ iext(X1,X3,X4)
      | ( X2 != uri_owl_InverseFunctionalProperty )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_57]) ).

tcf(c_181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ~ iext(uri_rdf_type,X0,uri_owl_InverseFunctionalProperty)
      | ~ iext(X0,X3,X2)
      | ~ iext(X0,X1,X2) ),
    inference(unflattening,[status(thm)],[c_180]) ).

tcf(c_238,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(demodulation,[status(thm)],[c_58]) ).

tcf(c_356,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_robert )
      | ~ iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
      | ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz)) ),
    inference(superposition,[status(thm)],[c_62,c_181]) ).

tcf(c_366,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_robert )
      | ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_356,c_60]) ).

tcf(c_382,plain,
    uri_ex_bob = uri_ex_robert,
    inference(superposition,[status(thm)],[c_61,c_366]) ).

tcf(c_386,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
    inference(demodulation,[status(thm)],[c_238,c_382]) ).

tcf(c_387,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_386,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38  % Computer : n026.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 15:25:46 UTC 2026
% 0.11/5.38  % CPUTime  : 
% 0.11/5.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.42  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
% 0.15/5.43  
% 0.15/5.43  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43  
% 0.15/5.43  % Detected problem language: tptp
% 0.15/5.45  % Proving...
% 1.86/6.30  % SZS status Started for theBenchmark.p
% 1.86/6.30  % SZS status Theorem for theBenchmark.p
% 1.86/6.30  
% 1.86/6.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.86/6.30  
% 1.86/6.30  % ------  iProver source info
% 1.86/6.30  
% 1.86/6.30  % git: date: 2026-07-19 20:42:38 +0200
% 1.86/6.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.86/6.30  % git: non_committed_changes: false
% 1.86/6.30  
% 1.86/6.30  % ------ Parsing...
% 1.86/6.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.86/6.30  
% 1.86/6.30  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 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 % 
% 1.86/6.30  
% 1.86/6.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.86/6.30  
% 1.86/6.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.86/6.30  % ------ Proving...
% 1.86/6.30  % ------ Problem Properties 
% 1.86/6.30  
% 1.86/6.30  % 
% 1.86/6.30  % clauses                               8
% 1.86/6.30  % conjectures                           1
% 1.86/6.30  % EPR                                   6
% 1.86/6.30  % Horn                                  8
% 1.86/6.30  % unary                                 6
% 1.86/6.30  % binary                                1
% 1.86/6.30  % lits                                  12
% 1.86/6.30  % lits eq                               2
% 1.86/6.30  % fd_pure                               0
% 1.86/6.30  % fd_pseudo                             0
% 1.86/6.30  % fd_cond                               0
% 1.86/6.30  % fd_pseudo_cond                        2
% 1.86/6.30  % AC symbols                            0
% 1.86/6.30  
% 1.86/6.30  % ------ Schedule dynamic 5 is on 
% 1.86/6.30  
% 1.86/6.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.86/6.30  
% 1.86/6.30  
% 1.86/6.30  % ------ 
% 1.86/6.30  % Current options:
% 1.86/6.30  % ------ 
% 1.86/6.30  
% 1.86/6.30  
% 1.86/6.30  % 
% 1.86/6.30  
% 1.86/6.30  % ------ Proving...
% 1.86/6.30  % 
% 1.86/6.30  
% 1.86/6.30  % SZS status Theorem for theBenchmark.p
% 1.86/6.30  
% 1.86/6.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/6.30  
% 1.86/6.30  
%------------------------------------------------------------------------------