TSTP Solution File: SWB017+2 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 1.88s 1.19s
% Output   : CNFRefutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  16 unt;   0 def)
%            Number of atoms       :   96 (   6 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  105 (  41   ~;  30   |;  29   &)
%                                         (   4 <=>;   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   :   55 (   0 sgn  40   !;   8   ?)

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

fof(f2,axiom,
    ! [X2,X3] :
      ( iext(uri_owl_propertyDisjointWith,X2,X3)
    <=> ( ! [X0,X1] :
            ~ ( iext(X3,X0,X1)
              & iext(X2,X0,X1) )
        & ip(X3)
        & ip(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f3,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(f4,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[],[f3]) ).

fof(f5,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(f6,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,[],[f2]) ).

fof(f7,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f4]) ).

fof(f8,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,[],[f6]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_differentFrom,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f10,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,[],[f8]) ).

fof(f11,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,[],[f10]) ).

fof(f12,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,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( iext(X1,X2,X3)
          & iext(X0,X2,X3) )
     => ( iext(X1,sK0(X0,X1),sK1(X0,X1))
        & iext(X0,sK0(X0,X1),sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ( iext(X1,sK0(X0,X1),sK1(X0,X1))
          & iext(X0,sK0(X0,X1),sK1(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,[sK0,sK1])],[f12,f13]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f9]) ).

fof(f19,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(X1,X4,X5)
      | ~ iext(X0,X4,X5)
      | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f22,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f7]) ).

fof(f23,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[],[f5]) ).

cnf(c_49,plain,
    ( X0 = X1
    | iext(uri_owl_differentFrom,X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_53,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(X3,X1,X2)
    | ~ iext(uri_owl_propertyDisjointWith,X0,X3) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_56,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_57,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_58,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_59,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_145,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_291,plain,
    uri_ex_w = uri_ex_u,
    inference(superposition,[status(thm)],[c_49,c_145]) ).

cnf(c_292,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(demodulation,[status(thm)],[c_57,c_291]) ).

cnf(c_361,plain,
    ( ~ iext(X0,uri_ex_w,uri_ex_c)
    | ~ iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,X0) ),
    inference(superposition,[status(thm)],[c_292,c_53]) ).

cnf(c_381,plain,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(superposition,[status(thm)],[c_58,c_361]) ).

cnf(c_383,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_381,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 21:38:42 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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
% 1.88/1.19  % SZS status Started for theBenchmark.p
% 1.88/1.19  % SZS status Theorem for theBenchmark.p
% 1.88/1.19  
% 1.88/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.88/1.19  
% 1.88/1.19  ------  iProver source info
% 1.88/1.19  
% 1.88/1.19  git: date: 2024-05-02 19:28:25 +0000
% 1.88/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.88/1.19  git: non_committed_changes: false
% 1.88/1.19  
% 1.88/1.19  ------ Parsing...
% 1.88/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.88/1.19  
% 1.88/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 1.88/1.19  
% 1.88/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.88/1.19  
% 1.88/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.88/1.19  ------ Proving...
% 1.88/1.19  ------ Problem Properties 
% 1.88/1.19  
% 1.88/1.19  
% 1.88/1.19  clauses                                 11
% 1.88/1.19  conjectures                             1
% 1.88/1.19  EPR                                     9
% 1.88/1.19  Horn                                    8
% 1.88/1.19  unary                                   5
% 1.88/1.19  binary                                  3
% 1.88/1.19  lits                                    22
% 1.88/1.19  lits eq                                 1
% 1.88/1.19  fd_pure                                 0
% 1.88/1.19  fd_pseudo                               0
% 1.88/1.19  fd_cond                                 0
% 1.88/1.19  fd_pseudo_cond                          1
% 1.88/1.19  AC symbols                              0
% 1.88/1.19  
% 1.88/1.19  ------ Schedule dynamic 5 is on 
% 1.88/1.19  
% 1.88/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.88/1.19  
% 1.88/1.19  
% 1.88/1.19  ------ 
% 1.88/1.19  Current options:
% 1.88/1.19  ------ 
% 1.88/1.19  
% 1.88/1.19  
% 1.88/1.19  
% 1.88/1.19  
% 1.88/1.19  ------ Proving...
% 1.88/1.19  
% 1.88/1.19  
% 1.88/1.19  % SZS status Theorem for theBenchmark.p
% 1.88/1.19  
% 1.88/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.88/1.19  
% 1.88/1.19  
%------------------------------------------------------------------------------