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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWB016+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.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 08:50:53 AM UTC 2026

% Result   : Theorem 253.77s 40.80s
% Output   : CNFRefutation 253.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :  116 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  129 (  49   ~;  65   |;   7   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   48 (   4 sgn  15   !;   0   ?)

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

fof(rdfs_dat_xmlliteral_sub,axiom,
    iext('uri$urdfs$usubClassOf','uri$urdf$uXMLLiteral','uri$urdfs$uLiteral') ).

fof(owl_prop_equivalentclass_ext,axiom,
    ! [X0,X1] :
      ( iext('uri$uowl$uequivalentClass',X0,X1)
     => ( ic(X1)
        & ic(X0) ) ) ).

fof(owl_prop_equivalentclass_type,axiom,
    ip('uri$uowl$uequivalentClass') ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X0,X1] :
      ( iext('uri$urdfs$usubClassOf',X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ) ).

fof(owl_rdfsext_subpropertyof,axiom,
    ! [X0,X1] :
      ( iext('uri$urdfs$usubPropertyOf',X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ) ).

fof(owl_eqdis_equivalentclass,axiom,
    ! [X0,X1] :
      ( iext('uri$uowl$uequivalentClass',X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ) ).

fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II,conjecture,
    iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass','uri$urdfs$usubClassOf') ).

fof(negated_conjecture,negated_conjecture,
    ~ iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass','uri$urdfs$usubClassOf'),
    inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_016_Reflective_Tautologies_II]) ).

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

cnf(c26,plain,
    iext('uri$urdfs$usubClassOf','uri$urdf$uXMLLiteral','uri$urdfs$uLiteral'),
    inference(clausification,[status(esa)],[rdfs_dat_xmlliteral_sub]) ).

cnf(c107,plain,
    ( ic(X0)
    | ~ iext('uri$uowl$uequivalentClass',X0,X1) ),
    inference(clausification,[status(esa)],[owl_prop_equivalentclass_ext]) ).

cnf(c108,plain,
    ( ic(X1)
    | ~ iext('uri$uowl$uequivalentClass',X0,X1) ),
    inference(clausification,[status(esa)],[owl_prop_equivalentclass_ext]) ).

cnf(c109,plain,
    ip('uri$uowl$uequivalentClass'),
    inference(clausification,[status(esa)],[owl_prop_equivalentclass_type]) ).

cnf(c268,plain,
    ( ~ ic(X0)
    | icext(X0,sK234(X0,X1))
    | ~ ic(X1)
    | iext('uri$urdfs$usubClassOf',X0,X1) ),
    inference(clausification,[status(esa)],[owl_rdfsext_subclassof]) ).

cnf(c269,plain,
    ( ~ ic(X0)
    | ~ icext(X1,sK234(X0,X1))
    | ~ ic(X1)
    | iext('uri$urdfs$usubClassOf',X0,X1) ),
    inference(clausification,[status(esa)],[owl_rdfsext_subclassof]) ).

cnf(c273,plain,
    ( ~ ip(X0)
    | iext(X0,sK239(X0,X1),sK240(X0,X1))
    | ~ ip(X1)
    | iext('uri$urdfs$usubPropertyOf',X0,X1) ),
    inference(clausification,[status(esa)],[owl_rdfsext_subpropertyof]) ).

cnf(c274,plain,
    ( ~ ip(X0)
    | ~ iext(X1,sK239(X0,X1),sK240(X0,X1))
    | ~ ip(X1)
    | iext('uri$urdfs$usubPropertyOf',X0,X1) ),
    inference(clausification,[status(esa)],[owl_rdfsext_subpropertyof]) ).

cnf(c276,plain,
    ( icext(X1,X2)
    | ~ icext(X0,X2)
    | ~ iext('uri$uowl$uequivalentClass',X0,X1) ),
    inference(clausification,[status(esa)],[owl_eqdis_equivalentclass]) ).

cnf(c374,plain,
    ~ iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass','uri$urdfs$usubClassOf'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ ip(X0)
    | ~ ip('uri$uowl$uequivalentClass')
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0)
    | ~ icext(sK239('uri$uowl$uequivalentClass',X0),X1)
    | icext(sK240('uri$uowl$uequivalentClass',X0),X1) ),
    inference(resolution,[status(thm)],[c276,c273]) ).

cnf(d1,plain,
    ( icext(sK240('uri$uowl$uequivalentClass',X0),X1)
    | ~ icext(sK239('uri$uowl$uequivalentClass',X0),X1)
    | ~ ip(X0)
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[c109,d0]) ).

cnf(d2,plain,
    ( ~ ic(sK239('uri$uowl$uequivalentClass',X0))
    | ~ ic(X1)
    | iext('uri$urdfs$usubClassOf',sK239('uri$uowl$uequivalentClass',X0),X1)
    | icext(sK240('uri$uowl$uequivalentClass',X0),sK234(sK239('uri$uowl$uequivalentClass',X0),X1))
    | ~ ip(X0)
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[d1,c268]) ).

cnf(d3,plain,
    ( ic(sK239('uri$uowl$uequivalentClass',X0))
    | ~ ip(X0)
    | ~ ip('uri$uowl$uequivalentClass')
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[c273,c107]) ).

cnf(d4,plain,
    ( ic(sK239('uri$uowl$uequivalentClass',X0))
    | ~ ip(X0)
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[c109,d3]) ).

cnf(d5,plain,
    ( ~ ic(X1)
    | icext(sK240('uri$uowl$uequivalentClass',X0),sK234(sK239('uri$uowl$uequivalentClass',X0),X1))
    | ~ ip(X0)
    | iext('uri$urdfs$usubClassOf',sK239('uri$uowl$uequivalentClass',X0),X1)
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0)
    | ~ ip(X0)
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[d4,d2]) ).

cnf(d6,plain,
    ( ~ ic(sK239('uri$uowl$uequivalentClass',X0))
    | ~ ic(sK240('uri$uowl$uequivalentClass',X0))
    | iext('uri$urdfs$usubClassOf',sK239('uri$uowl$uequivalentClass',X0),sK240('uri$uowl$uequivalentClass',X0))
    | ~ ic(sK240('uri$uowl$uequivalentClass',X0))
    | ~ ip(X0)
    | iext('uri$urdfs$usubClassOf',sK239('uri$uowl$uequivalentClass',X0),sK240('uri$uowl$uequivalentClass',X0))
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[d5,c269]) ).

cnf(d7,plain,
    ( ic(sK240('uri$uowl$uequivalentClass',X0))
    | ~ ip(X0)
    | ~ ip('uri$uowl$uequivalentClass')
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[c273,c108]) ).

cnf(d8,plain,
    ( ic(sK240('uri$uowl$uequivalentClass',X0))
    | ~ ip(X0)
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[c109,d7]) ).

cnf(d9,plain,
    ( ~ ic(sK239('uri$uowl$uequivalentClass',X0))
    | ~ ip(X0)
    | iext('uri$urdfs$usubClassOf',sK239('uri$uowl$uequivalentClass',X0),sK240('uri$uowl$uequivalentClass',X0))
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0)
    | ~ ip(X0)
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[d8,d6]) ).

cnf(d10,plain,
    ( ~ ip(X0)
    | iext('uri$urdfs$usubClassOf',sK239('uri$uowl$uequivalentClass',X0),sK240('uri$uowl$uequivalentClass',X0))
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0)
    | ~ ip(X0)
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass',X0) ),
    inference(resolution,[status(thm)],[d4,d9]) ).

cnf(d11,plain,
    ( ~ ip('uri$urdfs$usubClassOf')
    | ~ ip('uri$uowl$uequivalentClass')
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass','uri$urdfs$usubClassOf')
    | ~ ip('uri$urdfs$usubClassOf')
    | iext('uri$urdfs$usubPropertyOf','uri$uowl$uequivalentClass','uri$urdfs$usubClassOf') ),
    inference(resolution,[status(thm)],[d10,c274]) ).

cnf(d12,plain,
    ( ~ ip('uri$uowl$uequivalentClass')
    | ~ ip('uri$urdfs$usubClassOf') ),
    inference(resolution,[status(thm)],[c374,d11]) ).

cnf(d13,plain,
    ~ ip('uri$urdfs$usubClassOf'),
    inference(resolution,[status(thm)],[c109,d12]) ).

cnf(d14,plain,
    ip('uri$urdfs$usubClassOf'),
    inference(resolution,[status(thm)],[c26,c0]) ).

cnf(d15,plain,
    $false,
    inference(resolution,[status(thm)],[d14,d13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB016+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n010.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep 26 11:45:45 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 253.77/40.80  % SZS status Theorem for theBenchmark.p
% 253.77/40.80  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------