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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 : Sun Sep 27 08:50:49 AM UTC 2026

% Result   : Theorem 9.15s 1.66s
% Output   : CNFRefutation 9.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (  10 unt;   0 def)
%            Number of atoms       :  126 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  172 (  85   ~;  67   |;  14   &)
%                                         (   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   :   22 (   5 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(simple_ir,axiom,
    ! [X0] : ir(X0) ).

fof(simple_iext_property,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ) ).

fof(rdf_type_ip,axiom,
    ! [X0] :
      ( iext('uri$urdf$utype',X0,'uri$urdf$uProperty')
    <=> ip(X0) ) ).

fof(rdfs_cext_def,axiom,
    ! [X0,X1] :
      ( iext('uri$urdf$utype',X0,X1)
    <=> icext(X1,X0) ) ).

fof(rdfs_ir_def,axiom,
    ! [X0] :
      ( ir(X0)
    <=> icext('uri$urdfs$uResource',X0) ) ).

fof(owl_class_thing_ext,axiom,
    ! [X0] :
      ( icext('uri$uowl$uThing',X0)
    <=> ir(X0) ) ).

fof(owl_class_objectproperty_ext,axiom,
    ! [X0] :
      ( icext('uri$uowl$uObjectProperty',X0)
    <=> ip(X0) ) ).

fof(testcase_premise_fullish_005_Everything_is_a_Resource,axiom,
    iext('uri$uex$up','uri$uex$us','uri$uex$uo') ).

fof(testcase_conclusion_fullish_005_Everything_is_a_Resource,conjecture,
    ( iext('uri$urdf$utype','uri$uex$uo','uri$uowl$uThing')
    & iext('uri$urdf$utype','uri$uex$uo','uri$urdfs$uResource')
    & iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    & iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty')
    & iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    & iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    & iext('uri$urdf$utype','uri$uex$us','uri$uowl$uThing')
    & iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource') ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ( iext('uri$urdf$utype','uri$uex$uo','uri$uowl$uThing')
      & iext('uri$urdf$utype','uri$uex$uo','uri$urdfs$uResource')
      & iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
      & iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty')
      & iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
      & iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
      & iext('uri$urdf$utype','uri$uex$us','uri$uowl$uThing')
      & iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource') ),
    inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).

cnf(c0,plain,
    ir(X0),
    inference(clausification,[status(esa)],[simple_ir]) ).

cnf(c1,plain,
    ( ip(X0)
    | ~ iext(X0,X1,X2) ),
    inference(clausification,[status(esa)],[simple_iext_property]) ).

cnf(c3,plain,
    ( ~ ip(X0)
    | iext('uri$urdf$utype',X0,'uri$urdf$uProperty') ),
    inference(clausification,[status(esa)],[rdf_type_ip]) ).

cnf(c5,plain,
    ( ~ icext(X1,X0)
    | iext('uri$urdf$utype',X0,X1) ),
    inference(clausification,[status(esa)],[rdfs_cext_def]) ).

cnf(c6,plain,
    ( icext('uri$urdfs$uResource',X0)
    | ~ ir(X0) ),
    inference(clausification,[status(esa)],[rdfs_ir_def]) ).

cnf(c9,plain,
    ( ~ ir(X0)
    | icext('uri$uowl$uThing',X0) ),
    inference(clausification,[status(esa)],[owl_class_thing_ext]) ).

cnf(c11,plain,
    ( ~ ip(X0)
    | icext('uri$uowl$uObjectProperty',X0) ),
    inference(clausification,[status(esa)],[owl_class_objectproperty_ext]) ).

cnf(c12,plain,
    iext('uri$uex$up','uri$uex$us','uri$uex$uo'),
    inference(clausification,[status(esa)],[testcase_premise_fullish_005_Everything_is_a_Resource]) ).

cnf(c13,plain,
    ( ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$uo','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$uo','uri$urdfs$uResource') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ iext('uri$urdf$utype','uri$uex$uo','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty')
    | ~ icext('uri$uowl$uThing','uri$uex$uo') ),
    inference(resolution,[status(thm)],[c5,c13]) ).

cnf(d1,plain,
    ( ~ icext('uri$urdfs$uResource','uri$uex$uo')
    | ~ icext('uri$uowl$uThing','uri$uex$uo')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d0,c5]) ).

cnf(d2,plain,
    icext('uri$urdfs$uResource',X0),
    inference(resolution,[status(thm)],[c0,c6]) ).

cnf(d3,plain,
    ( ~ icext('uri$uowl$uThing','uri$uex$uo')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d2,d1]) ).

cnf(d4,plain,
    ( ~ icext('uri$uowl$uThing','uri$uex$us')
    | ~ icext('uri$uowl$uThing','uri$uex$uo')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d3,c5]) ).

cnf(d5,plain,
    icext('uri$uowl$uThing',X0),
    inference(resolution,[status(thm)],[c0,c9]) ).

cnf(d6,plain,
    ( ~ icext('uri$uowl$uThing','uri$uex$uo')
    | ~ iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d5,d4]) ).

cnf(d7,plain,
    ( ~ iext('uri$urdf$utype','uri$uex$us','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d5,d6]) ).

cnf(d8,plain,
    ( ~ icext('uri$urdfs$uResource','uri$uex$us')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d7,c5]) ).

cnf(d9,plain,
    ( ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d2,d8]) ).

cnf(d10,plain,
    ( ~ icext('uri$uowl$uObjectProperty','uri$uex$up')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$uowl$uThing')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d9,c5]) ).

cnf(d11,plain,
    ( ~ icext('uri$uowl$uThing','uri$uex$up')
    | ~ icext('uri$uowl$uObjectProperty','uri$uex$up')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d10,c5]) ).

cnf(d12,plain,
    ( ~ icext('uri$uowl$uObjectProperty','uri$uex$up')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdfs$uResource')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d5,d11]) ).

cnf(d13,plain,
    ( ~ icext('uri$urdfs$uResource','uri$uex$up')
    | ~ icext('uri$uowl$uObjectProperty','uri$uex$up')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d12,c5]) ).

cnf(d14,plain,
    ( ~ icext('uri$uowl$uObjectProperty','uri$uex$up')
    | ~ iext('uri$urdf$utype','uri$uex$up','uri$urdf$uProperty') ),
    inference(resolution,[status(thm)],[d2,d13]) ).

cnf(d15,plain,
    ( ~ ip('uri$uex$up')
    | ~ icext('uri$uowl$uObjectProperty','uri$uex$up') ),
    inference(resolution,[status(thm)],[d14,c3]) ).

cnf(d16,plain,
    ip('uri$uex$up'),
    inference(resolution,[status(thm)],[c12,c1]) ).

cnf(d17,plain,
    ~ icext('uri$uowl$uObjectProperty','uri$uex$up'),
    inference(resolution,[status(thm)],[d16,d15]) ).

cnf(d18,plain,
    ~ ip('uri$uex$up'),
    inference(resolution,[status(thm)],[d17,c11]) ).

cnf(d19,plain,
    $false,
    inference(resolution,[status(thm)],[d16,d18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30  % Computer : n012.cluster.edu
% 0.04/0.30  % Model    : x86_64 x86_64
% 0.04/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30  % Memory   : 8046.5625MB
% 0.04/0.30  % OS       : Linux 6.8.0-71-generic
% 0.04/0.30  % CPULimit : 300
% 0.04/0.30  % WCLimit  : 300
% 0.04/0.30  % DateTime : Sat Sep 26 11:39:34 UTC 2026
% 0.04/0.30  % CPUTime  : 
% 0.04/0.30  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.15/1.66  % SZS status Theorem for theBenchmark.p
% 9.15/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------