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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWB024+2 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% 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 : Mon Jun 24 16:05:27 EDT 2024

% Result   : Theorem 0.53s 0.64s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWB024+2 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Jun 18 17:28:24 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 0.53/0.64  %-------------------------------------------
% 0.53/0.64  % File        :CSE---1.7
% 0.53/0.64  % Problem     :theBenchmark
% 0.53/0.64  % Transform   :cnf
% 0.53/0.64  % Format      :tptp:raw
% 0.53/0.64  % Command     :java -jar mcs_scs.jar %d %s
% 0.53/0.64  
% 0.53/0.64  % Result      :Theorem 0.030000s
% 0.53/0.64  % Output      :CNFRefutation 0.030000s
% 0.53/0.64  %-------------------------------------------
% 0.53/0.64  %------------------------------------------------------------------------------
% 0.53/0.64  % File     : SWB024+2 : TPTP v8.2.0. Released v5.2.0.
% 0.53/0.64  % Domain   : Semantic Web
% 0.53/0.64  % Problem  : Cardinality Restrictions on Complex Properties
% 0.53/0.64  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 0.53/0.64  % English  :
% 0.53/0.64  
% 0.53/0.64  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.53/0.64  % Source   : [Sch11]
% 0.53/0.64  % Names    : 024_Cardinality_Restrictions_on_Complex_Properties [Sch11]
% 0.53/0.64  
% 0.53/0.64  % Status   : Theorem
% 0.53/0.64  % Rating   : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0
% 0.53/0.64  % Syntax   : Number of formulae    :    6 (   0 unt;   0 def)
% 0.53/0.64  %            Number of atoms       :   26 (   0 equ)
% 0.53/0.64  %            Maximal formula atoms :    8 (   4 avg)
% 0.53/0.64  %            Number of connectives :   20 (   0   ~;   0   |;  13   &)
% 0.53/0.64  %                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
% 0.53/0.64  %            Maximal formula depth :    9 (   7 avg)
% 0.53/0.64  %            Maximal term depth    :    2 (   1 avg)
% 0.53/0.64  %            Number of predicates  :    4 (   4 usr;   0 prp; 1-3 aty)
% 0.53/0.64  %            Number of functors    :   13 (  13 usr;  12 con; 0-2 aty)
% 0.53/0.64  %            Number of variables   :   15 (  12   !;   3   ?)
% 0.53/0.64  % SPC      : FOF_THM_RFO_NEQ
% 0.53/0.64  
% 0.53/0.64  % Comments :
% 0.53/0.64  %------------------------------------------------------------------------------
% 0.53/0.64  fof(rdfs_cext_def,axiom,
% 0.53/0.64      ! [X,C] :
% 0.53/0.64        ( iext(uri_rdf_type,X,C)
% 0.53/0.64      <=> icext(C,X) ) ).
% 0.53/0.64  
% 0.53/0.64  fof(owl_restrict_mincard_001,axiom,
% 0.53/0.64      ! [Z,P] :
% 0.53/0.64        ( ( iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
% 0.53/0.64          & iext(uri_owl_onProperty,Z,P) )
% 0.53/0.64       => ! [X] :
% 0.53/0.64            ( icext(Z,X)
% 0.53/0.64          <=> ? [Y] : iext(P,X,Y) ) ) ).
% 0.53/0.64  
% 0.53/0.64  fof(owl_rdfsext_subclassof,axiom,
% 0.53/0.64      ! [C1,C2] :
% 0.53/0.64        ( iext(uri_rdfs_subClassOf,C1,C2)
% 0.53/0.64      <=> ( ic(C1)
% 0.53/0.64          & ic(C2)
% 0.53/0.64          & ! [X] :
% 0.53/0.64              ( icext(C1,X)
% 0.53/0.64             => icext(C2,X) ) ) ) ).
% 0.53/0.64  
% 0.53/0.64  fof(owl_char_transitive,axiom,
% 0.53/0.64      ! [P] :
% 0.53/0.64        ( icext(uri_owl_TransitiveProperty,P)
% 0.53/0.64      <=> ( ip(P)
% 0.53/0.64          & ! [X,Y,Z] :
% 0.53/0.64              ( ( iext(P,X,Y)
% 0.53/0.64                & iext(P,Y,Z) )
% 0.53/0.64             => iext(P,X,Z) ) ) ) ).
% 0.53/0.64  
% 0.53/0.64  fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
% 0.53/0.64      ? [BNODE_x] :
% 0.53/0.64        ( iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)
% 0.53/0.64        & iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x) ) ).
% 0.53/0.64  
% 0.53/0.64  fof(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
% 0.53/0.64      ? [BNODE_z] :
% 0.53/0.64        ( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
% 0.53/0.64        & iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
% 0.53/0.64        & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
% 0.53/0.64        & iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
% 0.53/0.64        & iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
% 0.53/0.64        & iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
% 0.53/0.64        & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
% 0.53/0.64        & iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ) ).
% 0.53/0.64  
% 0.53/0.64  %------------------------------------------------------------------------------
% 0.53/0.64  %-------------------------------------------
% 0.53/0.64  % Proof found
% 0.53/0.64  % SZS status Theorem for theBenchmark
% 0.53/0.64  % SZS output start Proof
% 0.53/0.64  %ClaNum:23(EqnAxiom:0)
% 0.53/0.64  %VarNum:81(SingletonVarNum:31)
% 0.53/0.64  %MaxLitNum:4
% 0.53/0.64  %MaxfuncDepth:1
% 0.53/0.64  %SharedTerms:22
% 0.53/0.64  %goalClause: 20
% 0.53/0.64  [1]P1(a1,a2,a14)
% 0.53/0.64  [2]P1(a1,a3,a4)
% 0.53/0.64  [3]P1(a1,a13,a4)
% 0.53/0.64  [4]P1(a1,a5,a15)
% 0.53/0.64  [5]P1(a16,a5,a2)
% 0.53/0.64  [6]P1(a18,a4,a5)
% 0.53/0.64  [7]P1(a2,a13,a3)
% 0.53/0.64  [8]P1(a17,a5,f12(a6,a19))
% 0.53/0.64  [9]P4(x91)+~P2(a14,x91)
% 0.53/0.64  [20]~P1(a2,a13,x201)+~P1(a2,a3,x201)
% 0.53/0.64  [10]~P2(x102,x101)+P1(a1,x101,x102)
% 0.53/0.64  [13]P3(x131)+~P1(a18,x132,x131)
% 0.53/0.64  [14]P3(x141)+~P1(a18,x141,x142)
% 0.53/0.64  [15]P2(x151,x152)+~P1(a1,x152,x151)
% 0.53/0.64  [11]~P4(x111)+P1(x111,f7(x111),f10(x111))+P2(a14,x111)
% 0.53/0.64  [12]~P4(x121)+P1(x121,f10(x121),f11(x121))+P2(a14,x121)
% 0.53/0.64  [18]~P4(x181)+~P1(x181,f7(x181),f11(x181))+P2(a14,x181)
% 0.53/0.64  [17]P2(x171,x172)+~P2(x173,x172)+~P1(a18,x173,x171)
% 0.53/0.64  [16]~P3(x162)+~P3(x161)+P1(a18,x161,x162)+P2(x161,f8(x161,x162))
% 0.53/0.64  [19]~P3(x191)+~P3(x192)+P1(a18,x191,x192)+~P2(x192,f8(x191,x192))
% 0.53/0.64  [23]~P2(x233,x232)+~P1(a16,x233,x231)+P1(x231,x232,f9(x233,x231,x232))+~P1(a17,x233,f12(a6,a19))
% 0.53/0.64  [21]~P1(x211,x212,x214)+P1(x211,x212,x213)+~P1(x211,x214,x213)+~P2(a14,x211)
% 0.53/0.64  [22]P2(x221,x222)+~P1(x223,x222,x224)+~P1(a16,x221,x223)+~P1(a17,x221,f12(a6,a19))
% 0.53/0.64  %EqnAxiom
% 0.53/0.64  
% 0.53/0.64  %-------------------------------------------
% 0.53/0.65  cnf(28,plain,
% 0.53/0.65     (P2(a14,a2)),
% 0.53/0.65     inference(scs_inference,[],[1,6,13,14,15])).
% 0.53/0.65  cnf(43,plain,
% 0.53/0.65     (P2(a5,a3)),
% 0.53/0.65     inference(scs_inference,[],[2,6,15,17])).
% 0.53/0.65  cnf(69,plain,
% 0.53/0.65     (P1(a2,a3,f9(a5,a2,a3))),
% 0.53/0.65     inference(scs_inference,[],[43,8,5,23])).
% 0.53/0.65  cnf(71,plain,
% 0.53/0.65     (~P1(a2,a13,f9(a5,a2,a3))),
% 0.53/0.65     inference(scs_inference,[],[43,8,5,23,20])).
% 0.53/0.65  cnf(73,plain,
% 0.53/0.65     ($false),
% 0.53/0.65     inference(scs_inference,[],[71,7,69,28,21]),
% 0.53/0.65     ['proof']).
% 0.53/0.65  % SZS output end Proof
% 0.53/0.65  % Total time :0.030000s
%------------------------------------------------------------------------------