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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB005+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n019.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 03:03:41 PM UTC 2026

% Result   : Theorem 21.88s 4.09s
% Output   : Proof 21.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  16 unt;   0 def)
%            Number of atoms       :  151 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  181 (  81   ~;  70   |;  24   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   43 (   6 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f24_nnf,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c26,plain,
    ( ~ icext(X1,X0)
    | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

fof(f0,axiom,
    ! [S,P,O] :
      ( iext(P,S,O)
     => ip(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).

fof(f0_nnf,plain,
    ! [S,P,O] :
      ( ip(P)
      | ~ iext(P,S,O) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [P,S,O] :
      ( ip(P)
      | ~ iext(P,S,O) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( ip(X1)
    | ~ iext(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

fof(f559,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(f559_nnf,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(nnf_transformation,[status(thm)],[f559]) ).

cnf(c1407,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnf_transformation,[status(esa)],[f559_nnf]) ).

cnf(p714,plain,
    ip(uri_ex_p),
    inference(resolution,[status(thm)],[c0,c1407]) ).

fof(f146,axiom,
    ! [X] :
      ( icext(uri_owl_ObjectProperty,X)
    <=> ip(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

fof(f146_nnf,plain,
    ! [X] :
      ( ( ~ ip(X)
        | icext(uri_owl_ObjectProperty,X) )
      & ( ip(X)
        | ~ icext(uri_owl_ObjectProperty,X) ) ),
    inference(nnf_transformation,[status(thm)],[f146]) ).

fof(f146_sk,plain,
    ! [X] :
      ( ( ~ ip(X)
        | icext(uri_owl_ObjectProperty,X) )
      & ( ip(X)
        | ~ icext(uri_owl_ObjectProperty,X) ) ),
    inference(skolemisation,[status(esa)],[f146_nnf]) ).

cnf(c176,plain,
    ( ~ ip(X0)
    | icext(uri_owl_ObjectProperty,X0) ),
    inference(cnf_transformation,[status(esa)],[f146_sk]) ).

cnf(p723,plain,
    icext(uri_owl_ObjectProperty,uri_ex_p),
    inference(resolution,[status(thm)],[p714,c176]) ).

cnf(p900,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(resolution,[status(thm)],[c26,p723]) ).

fof(f162,axiom,
    ! [X] :
      ( icext(uri_owl_Thing,X)
    <=> ir(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f162_nnf,plain,
    ! [X] :
      ( ( ~ ir(X)
        | icext(uri_owl_Thing,X) )
      & ( ir(X)
        | ~ icext(uri_owl_Thing,X) ) ),
    inference(nnf_transformation,[status(thm)],[f162]) ).

fof(f162_sk,plain,
    ! [X] :
      ( ( ~ ir(X)
        | icext(uri_owl_Thing,X) )
      & ( ir(X)
        | ~ icext(uri_owl_Thing,X) ) ),
    inference(skolemisation,[status(esa)],[f162_nnf]) ).

cnf(c197,plain,
    ( ~ ir(X0)
    | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[status(esa)],[f162_sk]) ).

fof(f1,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f1_nnf,plain,
    ! [X] : ir(X),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X] : ir(X),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ir(X0),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p709,plain,
    icext(uri_owl_Thing,X0),
    inference(resolution,[status(thm)],[c197,c1]) ).

cnf(p895,plain,
    iext(uri_rdf_type,X0,uri_owl_Thing),
    inference(resolution,[status(thm)],[c26,p709]) ).

fof(f99,axiom,
    ! [X] :
      ( ir(X)
    <=> iext(uri_rdf_type,X,uri_rdfs_Resource) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ir_def) ).

fof(f99_nnf,plain,
    ! [X] :
      ( ( ~ iext(uri_rdf_type,X,uri_rdfs_Resource)
        | ir(X) )
      & ( iext(uri_rdf_type,X,uri_rdfs_Resource)
        | ~ ir(X) ) ),
    inference(nnf_transformation,[status(thm)],[f99]) ).

fof(f99_sk,plain,
    ! [X] :
      ( ( ~ iext(uri_rdf_type,X,uri_rdfs_Resource)
        | ir(X) )
      & ( iext(uri_rdf_type,X,uri_rdfs_Resource)
        | ~ ir(X) ) ),
    inference(skolemisation,[status(esa)],[f99_nnf]) ).

cnf(c118,plain,
    ( iext(uri_rdf_type,X0,uri_rdfs_Resource)
    | ~ ir(X0) ),
    inference(cnf_transformation,[status(esa)],[f99_sk]) ).

cnf(p847,plain,
    iext(uri_rdf_type,X0,uri_rdfs_Resource),
    inference(resolution,[status(thm)],[c118,c1]) ).

fof(f558,conjecture,
    ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(f558_neg,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(negated_conjecture,[status(cth)],[f558]) ).

fof(f558_nnf,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(nnf_transformation,[status(thm)],[f558_neg]) ).

fof(f558_sk,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(skolemisation,[status(esa)],[f558_nnf]) ).

cnf(c1406,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(cnf_transformation,[status(esa)],[f558_sk]) ).

cnf(p848,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(resolution,[status(thm)],[p847,c1406]) ).

cnf(p906,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
    inference(resolution,[status(thm)],[p895,p848]) ).

cnf(p907,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
    inference(resolution,[status(thm)],[p906,p847]) ).

cnf(p908,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
    inference(resolution,[status(thm)],[p907,p895]) ).

fof(f12,axiom,
    ! [P] :
      ( iext(uri_rdf_type,P,uri_rdf_Property)
    <=> ip(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f12_nnf,plain,
    ! [P] :
      ( ( ~ ip(P)
        | iext(uri_rdf_type,P,uri_rdf_Property) )
      & ( ip(P)
        | ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [P] :
      ( ( ~ ip(P)
        | iext(uri_rdf_type,P,uri_rdf_Property) )
      & ( ip(P)
        | ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c13,plain,
    ( ~ ip(X0)
    | iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p762,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(resolution,[status(thm)],[c13,p714]) ).

cnf(p909,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(resolution,[status(thm)],[p908,p762]) ).

cnf(p910,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(resolution,[status(thm)],[p900,p909]) ).

cnf(p911,plain,
    ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing),
    inference(resolution,[status(thm)],[p910,p847]) ).

cnf(p912,plain,
    $false,
    inference(resolution,[status(thm)],[p911,p895]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB005+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36  % Computer : n019.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Thu Sep 24 15:20:34 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 21.88/4.09  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.88/4.09  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------