TSTP Solution File: SWB008+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:09:03 EDT 2023

% Result   : Theorem 1.63s 1.15s
% Output   : CNFRefutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   40 (  16 unt;   0 def)
%            Number of atoms       :  129 (  28 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  144 (  55   ~;  48   |;  31   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            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   :   83 (   0 sgn;  52   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2,axiom,
    ! [X0,X2] :
      ( iext(uri_owl_sameAs,X0,X2)
    <=> X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f3,axiom,
    ! [X3] :
      ( icext(uri_owl_InverseFunctionalProperty,X3)
    <=> ( ! [X4,X5,X2] :
            ( ( iext(X3,X5,X2)
              & iext(X3,X4,X2) )
           => X4 = X5 )
        & ip(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f4,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(f5,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(negated_conjecture,[],[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/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f7,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    inference(rectify,[],[f2]) ).

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(rectify,[],[f3]) ).

fof(f9,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(flattening,[],[f5]) ).

fof(f10,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f11,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(flattening,[],[f10]) ).

fof(f12,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(f13,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f14,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f15,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f14]) ).

fof(f16,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f15]) ).

fof(f17,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X1 != X2
          & iext(X0,X2,X3)
          & iext(X0,X1,X3) )
     => ( sK0(X0) != sK1(X0)
        & iext(X0,sK1(X0),sK2(X0))
        & iext(X0,sK0(X0),sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ( sK0(X0) != sK1(X0)
          & iext(X0,sK1(X0),sK2(X0))
          & iext(X0,sK0(X0),sK2(X0)) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f24,plain,
    ! [X0,X6,X4,X5] :
      ( X4 = X5
      | ~ iext(X0,X5,X6)
      | ~ iext(X0,X4,X6)
      | ~ icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f28,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f6]) ).

fof(f31,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f22]) ).

cnf(c_50,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_51,plain,
    iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_56,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(X0,X3,X2)
    | ~ icext(uri_owl_InverseFunctionalProperty,X0)
    | X1 = X3 ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_58,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_59,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_60,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_61,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_180,plain,
    ( X0 != X1
    | X2 != uri_owl_InverseFunctionalProperty
    | ~ iext(X1,X3,X4)
    | ~ iext(X1,X5,X4)
    | ~ iext(uri_rdf_type,X0,X2)
    | X3 = X5 ),
    inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).

cnf(c_181,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(X0,X3,X2)
    | ~ iext(uri_rdf_type,X0,uri_owl_InverseFunctionalProperty)
    | X1 = X3 ),
    inference(unflattening,[status(thm)],[c_180]) ).

cnf(c_353,plain,
    ( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
    | ~ iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    | X0 = uri_ex_bob ),
    inference(superposition,[status(thm)],[c_60,c_181]) ).

cnf(c_365,plain,
    ( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
    | X0 = uri_ex_bob ),
    inference(forward_subsumption_resolution,[status(thm)],[c_353,c_61]) ).

cnf(c_381,plain,
    uri_ex_bob = uri_ex_robert,
    inference(superposition,[status(thm)],[c_59,c_365]) ).

cnf(c_384,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
    inference(demodulation,[status(thm)],[c_58,c_381]) ).

cnf(c_385,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_384,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 06:27:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.63/1.15  % SZS status Started for theBenchmark.p
% 1.63/1.15  % SZS status Theorem for theBenchmark.p
% 1.63/1.15  
% 1.63/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.63/1.15  
% 1.63/1.15  ------  iProver source info
% 1.63/1.15  
% 1.63/1.15  git: date: 2023-05-31 18:12:56 +0000
% 1.63/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.63/1.15  git: non_committed_changes: false
% 1.63/1.15  git: last_make_outside_of_git: false
% 1.63/1.15  
% 1.63/1.15  ------ Parsing...
% 1.63/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.63/1.15  
% 1.63/1.15  ------ 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 
% 1.63/1.15  
% 1.63/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.63/1.15  
% 1.63/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.63/1.15  ------ Proving...
% 1.63/1.15  ------ Problem Properties 
% 1.63/1.15  
% 1.63/1.15  
% 1.63/1.15  clauses                                 8
% 1.63/1.15  conjectures                             1
% 1.63/1.15  EPR                                     6
% 1.63/1.15  Horn                                    8
% 1.63/1.15  unary                                   6
% 1.63/1.15  binary                                  1
% 1.63/1.15  lits                                    12
% 1.63/1.15  lits eq                                 2
% 1.63/1.15  fd_pure                                 0
% 1.63/1.15  fd_pseudo                               0
% 1.63/1.15  fd_cond                                 0
% 1.63/1.15  fd_pseudo_cond                          2
% 1.63/1.15  AC symbols                              0
% 1.63/1.15  
% 1.63/1.15  ------ Schedule dynamic 5 is on 
% 1.63/1.15  
% 1.63/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.63/1.15  
% 1.63/1.15  
% 1.63/1.15  ------ 
% 1.63/1.15  Current options:
% 1.63/1.15  ------ 
% 1.63/1.15  
% 1.63/1.15  
% 1.63/1.15  
% 1.63/1.15  
% 1.63/1.15  ------ Proving...
% 1.63/1.15  
% 1.63/1.15  
% 1.63/1.15  % SZS status Theorem for theBenchmark.p
% 1.63/1.15  
% 1.63/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.63/1.15  
% 1.63/1.15  
%------------------------------------------------------------------------------