TSTP Solution File: SWB018+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB018+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 20:09:14 EDT 2023

% Result   : Theorem 47.02s 10.90s
% Output   : CNFRefutation 47.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   54 (  12 unt;   0 def)
%            Number of atoms       :  168 (   5 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  186 (  72   ~;  63   |;  37   &)
%                                         (   9 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  109 (   7 sgn;  76   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).

fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f341,axiom,
    ! [X1,X4] :
      ( iext(uri_rdfs_domain,X1,X4)
    <=> ( ! [X3,X6] :
            ( iext(X1,X3,X6)
           => icext(X4,X3) )
        & ic(X4)
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_domain) ).

fof(f354,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_sameAs,X3,X6)
    <=> X3 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f387,axiom,
    ! [X1] :
      ( iext(uri_owl_propertyChainAxiom,X1,uri_rdf_nil)
    <=> ( ! [X35] : iext(X1,X35,X35)
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_000) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(f565,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f752,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X2) )
        & ic(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f341]) ).

fof(f765,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    inference(rectify,[],[f354]) ).

fof(f790,plain,
    ! [X0] :
      ( iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil)
    <=> ( ! [X1] : iext(X0,X1,X1)
        & ip(X0) ) ),
    inference(rectify,[],[f387]) ).

fof(f920,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(flattening,[],[f560]) ).

fof(f921,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1137,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( icext(X1,X2)
            | ~ iext(X0,X2,X3) )
        & ic(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f752]) ).

fof(f1409,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f565]) ).

fof(f1709,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X2)
              | ~ iext(X0,X2,X3) )
          & ic(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(nnf_transformation,[],[f1137]) ).

fof(f1710,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X2)
              | ~ iext(X0,X2,X3) )
          & ic(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(flattening,[],[f1709]) ).

fof(f1711,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X4)
              | ~ iext(X0,X4,X5) )
          & ic(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(rectify,[],[f1710]) ).

fof(f1712,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X1,X2)
          & iext(X0,X2,X3) )
     => ( ~ icext(X1,sK163(X0,X1))
        & iext(X0,sK163(X0,X1),sK164(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1713,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ( ~ icext(X1,sK163(X0,X1))
          & iext(X0,sK163(X0,X1),sK164(X0,X1)) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X4)
              | ~ iext(X0,X4,X5) )
          & ic(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK163,sK164])],[f1711,f1712]) ).

fof(f1779,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f765]) ).

fof(f1830,plain,
    ! [X0] :
      ( ( iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil)
        | ? [X1] : ~ iext(X0,X1,X1)
        | ~ ip(X0) )
      & ( ( ! [X1] : iext(X0,X1,X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil) ) ),
    inference(nnf_transformation,[],[f790]) ).

fof(f1831,plain,
    ! [X0] :
      ( ( iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil)
        | ? [X1] : ~ iext(X0,X1,X1)
        | ~ ip(X0) )
      & ( ( ! [X1] : iext(X0,X1,X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil) ) ),
    inference(flattening,[],[f1830]) ).

fof(f1832,plain,
    ! [X0] :
      ( ( iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil)
        | ? [X1] : ~ iext(X0,X1,X1)
        | ~ ip(X0) )
      & ( ( ! [X2] : iext(X0,X2,X2)
          & ip(X0) )
        | ~ iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil) ) ),
    inference(rectify,[],[f1831]) ).

fof(f1833,plain,
    ! [X0] :
      ( ? [X1] : ~ iext(X0,X1,X1)
     => ~ iext(X0,sK208(X0),sK208(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f1834,plain,
    ! [X0] :
      ( ( iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil)
        | ~ iext(X0,sK208(X0),sK208(X0))
        | ~ ip(X0) )
      & ( ( ! [X2] : iext(X0,X2,X2)
          & ip(X0) )
        | ~ iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK208])],[f1832,f1833]) ).

fof(f1919,plain,
    ! [X2,X0,X1] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(cnf_transformation,[],[f921]) ).

fof(f1945,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f1409]) ).

fof(f2761,plain,
    ! [X0,X1,X4,X5] :
      ( icext(X1,X4)
      | ~ iext(X0,X4,X5)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[],[f1713]) ).

fof(f2856,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1779]) ).

fof(f2934,plain,
    ! [X2,X0] :
      ( iext(X0,X2,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f1834]) ).

fof(f2935,plain,
    ! [X0] :
      ( iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil)
      | ~ iext(X0,sK208(X0),sK208(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1834]) ).

fof(f3208,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnf_transformation,[],[f920]) ).

fof(f3209,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[],[f561]) ).

fof(f3218,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f2856]) ).

cnf(c_49,plain,
    ( ~ iext(X0,X1,X2)
    | ip(X0) ),
    inference(cnf_transformation,[],[f1919]) ).

cnf(c_74,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf_transformation,[],[f1945]) ).

cnf(c_891,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(uri_rdfs_domain,X0,X3)
    | icext(X3,X1) ),
    inference(cnf_transformation,[],[f2761]) ).

cnf(c_981,plain,
    iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f3218]) ).

cnf(c_1051,plain,
    ( ~ iext(X0,sK208(X0),sK208(X0))
    | ~ ip(X0)
    | iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f2935]) ).

cnf(c_1052,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil)
    | iext(X0,X1,X1) ),
    inference(cnf_transformation,[],[f2934]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnf_transformation,[],[f3208]) ).

cnf(c_1328,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[],[f3209]) ).

cnf(c_2352,plain,
    ( ~ iext(X0,X1,X2)
    | ip(X0) ),
    inference(prop_impl_just,[status(thm)],[c_49]) ).

cnf(c_6361,plain,
    ( ~ iext(X0,sK208(X0),sK208(X0))
    | iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1051,c_2352]) ).

cnf(c_49235,plain,
    ( ~ iext(X0,sK208(X0),sK208(X0))
    | iext(uri_owl_propertyChainAxiom,X0,uri_rdf_nil) ),
    inference(prop_impl_just,[status(thm)],[c_6361]) ).

cnf(c_114721,plain,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,uri_rdf_nil),
    inference(superposition,[status(thm)],[c_981,c_49235]) ).

cnf(c_115450,plain,
    ~ icext(uri_ex_Person,uri_ex_u),
    inference(superposition,[status(thm)],[c_74,c_1326]) ).

cnf(c_156642,plain,
    ( ~ iext(X0,uri_ex_u,X1)
    | ~ iext(uri_rdfs_domain,X0,uri_ex_Person)
    | icext(uri_ex_Person,uri_ex_u) ),
    inference(instantiation,[status(thm)],[c_891]) ).

cnf(c_157807,plain,
    ( ~ iext(uri_owl_sameAs,uri_ex_u,X0)
    | ~ iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
    | icext(uri_ex_Person,uri_ex_u) ),
    inference(instantiation,[status(thm)],[c_156642]) ).

cnf(c_161378,plain,
    ( ~ iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
    | ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u)
    | icext(uri_ex_Person,uri_ex_u) ),
    inference(instantiation,[status(thm)],[c_157807]) ).

cnf(c_161380,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,uri_rdf_nil)
    | iext(uri_owl_sameAs,uri_ex_u,uri_ex_u) ),
    inference(instantiation,[status(thm)],[c_1052]) ).

cnf(c_161381,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_161380,c_161378,c_115450,c_114721,c_1328]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.17  % Problem  : SWB018+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.18  % Command  : run_iprover %s %d THM
% 0.09/0.37  % Computer : n014.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8042.1875MB
% 0.09/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Aug 27 07:14:17 EDT 2023
% 0.13/0.37  % CPUTime  : 
% 0.13/0.81  Running first-order theorem proving
% 0.13/0.81  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 47.02/10.90  % SZS status Started for theBenchmark.p
% 47.02/10.90  % SZS status Theorem for theBenchmark.p
% 47.02/10.90  
% 47.02/10.90  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 47.02/10.90  
% 47.02/10.90  ------  iProver source info
% 47.02/10.90  
% 47.02/10.90  git: date: 2023-05-31 18:12:56 +0000
% 47.02/10.90  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 47.02/10.90  git: non_committed_changes: false
% 47.02/10.90  git: last_make_outside_of_git: false
% 47.02/10.90  
% 47.02/10.90  ------ Parsing...
% 47.02/10.90  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 47.02/10.90  
% 47.02/10.90  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 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 
% 47.02/10.90  
% 47.02/10.90  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 47.02/10.90  
% 47.02/10.90  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 47.02/10.90  ------ Proving...
% 47.02/10.90  ------ Problem Properties 
% 47.02/10.90  
% 47.02/10.90  
% 47.02/10.90  clauses                                 1171
% 47.02/10.90  conjectures                             1
% 47.02/10.90  EPR                                     711
% 47.02/10.90  Horn                                    902
% 47.02/10.90  unary                                   227
% 47.02/10.90  binary                                  455
% 47.02/10.90  lits                                    3732
% 47.02/10.90  lits eq                                 197
% 47.02/10.90  fd_pure                                 0
% 47.02/10.90  fd_pseudo                               0
% 47.02/10.90  fd_cond                                 0
% 47.02/10.90  fd_pseudo_cond                          66
% 47.02/10.90  AC symbols                              0
% 47.02/10.90  
% 47.02/10.90  ------ Schedule dynamic 5 is on 
% 47.02/10.90  
% 47.02/10.90  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 47.02/10.90  
% 47.02/10.90  
% 47.02/10.90  ------ 
% 47.02/10.90  Current options:
% 47.02/10.90  ------ 
% 47.02/10.90  
% 47.02/10.90  
% 47.02/10.90  
% 47.02/10.90  
% 47.02/10.90  ------ Proving...
% 47.02/10.90  
% 47.02/10.90  
% 47.02/10.90  % SZS status Theorem for theBenchmark.p
% 47.02/10.90  
% 47.02/10.90  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.02/10.90  
% 47.02/10.91  
%------------------------------------------------------------------------------