TSTP Solution File: SWB017+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWB017+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 : Fri May  3 03:10:14 EDT 2024

% Result   : Theorem 24.27s 4.23s
% Output   : CNFRefutation 24.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  15 unt;   0 def)
%            Number of atoms       :   97 (   7 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  106 (  41   ~;  30   |;  29   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   57 (   0 sgn  42   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_differentFrom,X3,X6)
    <=> X3 != X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).

fof(f353,axiom,
    ! [X32,X33] :
      ( iext(uri_owl_propertyDisjointWith,X32,X33)
    <=> ( ! [X3,X6] :
            ~ ( iext(X33,X3,X6)
              & iext(X32,X3,X6) )
        & ip(X33)
        & ip(X32) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f559,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    ( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).

fof(f756,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    inference(rectify,[],[f345]) ).

fof(f764,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ! [X2,X3] :
            ~ ( iext(X1,X2,X3)
              & iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f353]) ).

fof(f920,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f560]) ).

fof(f1148,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X1,X2,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f764]) ).

fof(f1729,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_differentFrom,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f756]) ).

fof(f1774,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ~ iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f1148]) ).

fof(f1775,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ~ iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(flattening,[],[f1774]) ).

fof(f1776,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X1,X4,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(rectify,[],[f1775]) ).

fof(f1777,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( iext(X1,X2,X3)
          & iext(X0,X2,X3) )
     => ( iext(X1,sK178(X0,X1),sK179(X0,X1))
        & iext(X0,sK178(X0,X1),sK179(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1778,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ( iext(X1,sK178(X0,X1),sK179(X0,X1))
          & iext(X0,sK178(X0,X1),sK179(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X1,X4,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK178,sK179])],[f1776,f1777]) ).

fof(f2780,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1729]) ).

fof(f2852,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(X1,X4,X5)
      | ~ iext(X0,X4,X5)
      | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f1778]) ).

fof(f3208,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f920]) ).

fof(f3209,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[],[f561]) ).

fof(f3210,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f3211,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_909,plain,
    ( X0 = X1
    | iext(uri_owl_differentFrom,X0,X1) ),
    inference(cnf_transformation,[],[f2780]) ).

cnf(c_978,negated_conjecture,
    ( ~ iext(X0,X1,X2)
    | ~ iext(X3,X1,X2)
    | ~ iext(uri_owl_propertyDisjointWith,X3,X0) ),
    inference(cnf_transformation,[],[f2852]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f3208]) ).

cnf(c_1327,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[],[f3211]) ).

cnf(c_1328,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f3210]) ).

cnf(c_1329,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[],[f3209]) ).

cnf(c_6008,plain,
    ( ~ iext(X0,uri_ex_w,uri_ex_c)
    | ~ iext(uri_owl_propertyDisjointWith,X0,uri_rdf_type) ),
    inference(superposition,[status(thm)],[c_1328,c_978]) ).

cnf(c_6496,plain,
    ~ iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(superposition,[status(thm)],[c_1329,c_6008]) ).

cnf(c_9668,plain,
    uri_ex_w = uri_ex_u,
    inference(superposition,[status(thm)],[c_909,c_1326]) ).

cnf(c_9680,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(superposition,[status(thm)],[c_9668,c_1327]) ).

cnf(c_9682,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9680,c_6496]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWB017+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 21:40:43 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.27/4.23  % SZS status Started for theBenchmark.p
% 24.27/4.23  % SZS status Theorem for theBenchmark.p
% 24.27/4.23  
% 24.27/4.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.27/4.23  
% 24.27/4.23  ------  iProver source info
% 24.27/4.23  
% 24.27/4.23  git: date: 2024-05-02 19:28:25 +0000
% 24.27/4.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.27/4.23  git: non_committed_changes: false
% 24.27/4.23  
% 24.27/4.23  ------ Parsing...
% 24.27/4.23  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 24.27/4.23  
% 24.27/4.23  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e 
% 24.27/4.23  
% 24.27/4.23  ------ Preprocessing...
% 24.27/4.23  
% 24.27/4.23  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 24.27/4.23  ------ Proving...
% 24.27/4.23  ------ Problem Properties 
% 24.27/4.23  
% 24.27/4.23  
% 24.27/4.23  clauses                                 1182
% 24.27/4.23  conjectures                             111
% 24.27/4.23  EPR                                     721
% 24.27/4.23  Horn                                    912
% 24.27/4.23  unary                                   212
% 24.27/4.23  binary                                  465
% 24.27/4.23  lits                                    3827
% 24.27/4.23  lits eq                                 197
% 24.27/4.23  fd_pure                                 0
% 24.27/4.23  fd_pseudo                               0
% 24.27/4.23  fd_cond                                 0
% 24.27/4.23  fd_pseudo_cond                          66
% 24.27/4.23  AC symbols                              0
% 24.27/4.23  
% 24.27/4.23  ------ Input Options Time Limit: Unbounded
% 24.27/4.23  
% 24.27/4.23  
% 24.27/4.23  ------ 
% 24.27/4.23  Current options:
% 24.27/4.23  ------ 
% 24.27/4.23  
% 24.27/4.23  
% 24.27/4.23  
% 24.27/4.23  
% 24.27/4.23  ------ Proving...
% 24.27/4.23  
% 24.27/4.23  
% 24.27/4.23  % SZS status Theorem for theBenchmark.p
% 24.27/4.23  
% 24.27/4.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.27/4.23  
% 24.27/4.23  
%------------------------------------------------------------------------------