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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWB004+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 : n007.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 16:05:14 EDT 2024

% Result   : Theorem 44.04s 44.13s
% Output   : CNFRefutation 44.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWB004+2 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Jun 18 18:32:53 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.51/0.56  start to proof:theBenchmark
% 44.04/44.12  %-------------------------------------------
% 44.04/44.12  % File        :CSE---1.7
% 44.04/44.12  % Problem     :theBenchmark
% 44.04/44.12  % Transform   :cnf
% 44.04/44.12  % Format      :tptp:raw
% 44.04/44.12  % Command     :java -jar mcs_scs.jar %d %s
% 44.04/44.12  
% 44.04/44.12  % Result      :Theorem 43.530000s
% 44.04/44.12  % Output      :CNFRefutation 43.530000s
% 44.04/44.12  %-------------------------------------------
% 44.04/44.13  %------------------------------------------------------------------------------
% 44.04/44.13  % File     : SWB004+2 : TPTP v8.2.0. Released v5.2.0.
% 44.04/44.13  % Domain   : Semantic Web
% 44.04/44.13  % Problem  : Axiomatic Triples
% 44.04/44.13  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 44.04/44.13  % English  :
% 44.04/44.13  
% 44.04/44.13  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 44.04/44.13  % Source   : [Sch11]
% 44.04/44.13  % Names    : 004_Axiomatic_Triples [Sch11]
% 44.04/44.13  
% 44.04/44.13  % Status   : Theorem
% 44.04/44.13  % Rating   : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.09 v5.2.0
% 44.04/44.13  % Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
% 44.04/44.13  %            Number of atoms       :   32 (   0 equ)
% 44.04/44.13  %            Maximal formula atoms :    5 (   2 avg)
% 44.04/44.13  %            Number of connectives :   18 (   0   ~;   0   |;   8   &)
% 44.04/44.13  %                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
% 44.04/44.13  %            Maximal formula depth :    8 (   3 avg)
% 44.04/44.13  %            Maximal term depth    :    1 (   1 avg)
% 44.04/44.13  %            Number of predicates  :    5 (   5 usr;   0 prp; 1-3 aty)
% 44.04/44.13  %            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
% 44.04/44.13  %            Number of variables   :   14 (  14   !;   0   ?)
% 44.04/44.13  % SPC      : FOF_THM_RFO_NEQ
% 44.04/44.13  
% 44.04/44.13  % Comments :
% 44.04/44.13  %------------------------------------------------------------------------------
% 44.04/44.13  fof(simple_ir,axiom,
% 44.04/44.13      ! [X] : ir(X) ).
% 44.04/44.13  
% 44.04/44.13  fof(rdfs_cext_def,axiom,
% 44.04/44.13      ! [X,C] :
% 44.04/44.13        ( iext(uri_rdf_type,X,C)
% 44.04/44.13      <=> icext(C,X) ) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_parts_idc_cond_set,axiom,
% 44.04/44.13      ! [X] :
% 44.04/44.13        ( idc(X)
% 44.04/44.13       => ic(X) ) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_class_classowl_type,axiom,
% 44.04/44.13      ic(uri_owl_Class) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_class_classowl_ext,axiom,
% 44.04/44.13      ! [X] :
% 44.04/44.13        ( icext(uri_owl_Class,X)
% 44.04/44.13      <=> ic(X) ) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_class_classrdfs_type,axiom,
% 44.04/44.13      ic(uri_rdfs_Class) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_class_classrdfs_ext,axiom,
% 44.04/44.13      ! [X] :
% 44.04/44.13        ( icext(uri_rdfs_Class,X)
% 44.04/44.13      <=> ic(X) ) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_class_datatype_type,axiom,
% 44.04/44.13      ic(uri_rdfs_Datatype) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_class_datatype_ext,axiom,
% 44.04/44.13      ! [X] :
% 44.04/44.13        ( icext(uri_rdfs_Datatype,X)
% 44.04/44.13      <=> idc(X) ) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_class_thing_type,axiom,
% 44.04/44.13      ic(uri_owl_Thing) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_class_thing_ext,axiom,
% 44.04/44.13      ! [X] :
% 44.04/44.13        ( icext(uri_owl_Thing,X)
% 44.04/44.13      <=> ir(X) ) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_rdfsext_subclassof,axiom,
% 44.04/44.13      ! [C1,C2] :
% 44.04/44.13        ( iext(uri_rdfs_subClassOf,C1,C2)
% 44.04/44.13      <=> ( ic(C1)
% 44.04/44.13          & ic(C2)
% 44.04/44.13          & ! [X] :
% 44.04/44.13              ( icext(C1,X)
% 44.04/44.13             => icext(C2,X) ) ) ) ).
% 44.04/44.13  
% 44.04/44.13  fof(owl_eqdis_equivalentclass,axiom,
% 44.04/44.13      ! [C1,C2] :
% 44.04/44.13        ( iext(uri_owl_equivalentClass,C1,C2)
% 44.04/44.13      <=> ( ic(C1)
% 44.04/44.13          & ic(C2)
% 44.04/44.13          & ! [X] :
% 44.04/44.13              ( icext(C1,X)
% 44.04/44.13            <=> icext(C2,X) ) ) ) ).
% 44.04/44.13  
% 44.04/44.13  fof(testcase_conclusion_fullish_004_Axiomatic_Triples,conjecture,
% 44.04/44.13      ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
% 44.04/44.13      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
% 44.04/44.13      & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
% 44.04/44.13      & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
% 44.04/44.13      & iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ) ).
% 44.04/44.13  
% 44.04/44.13  %------------------------------------------------------------------------------
% 44.04/44.13  %-------------------------------------------
% 44.04/44.13  % Proof found
% 44.04/44.13  % SZS status Theorem for theBenchmark
% 44.04/44.13  % SZS output start Proof
% 44.04/44.13  %ClaNum:26(EqnAxiom:0)
% 44.04/44.13  %VarNum:87(SingletonVarNum:37)
% 44.04/44.13  %MaxLitNum:5
% 44.04/44.13  %MaxfuncDepth:1
% 44.04/44.13  %SharedTerms:16
% 44.04/44.13  %goalClause: 26
% 44.04/44.13  [1]P1(a1)
% 44.04/44.13  [2]P1(a4)
% 44.04/44.13  [3]P1(a8)
% 44.04/44.13  [4]P1(a5)
% 44.04/44.13  [5]P2(a5,x51)
% 44.04/44.13  [6]~P3(x61)+P1(x61)
% 44.04/44.13  [7]~P1(x71)+P2(a1,x71)
% 44.04/44.13  [8]~P1(x81)+P2(a4,x81)
% 44.04/44.13  [9]~P3(x91)+P2(a8,x91)
% 44.04/44.13  [10]P3(x101)+~P2(a8,x101)
% 44.04/44.13  [11]P1(x111)+~P2(a1,x111)
% 44.04/44.13  [12]P1(x121)+~P2(a4,x121)
% 44.04/44.13  [13]~P2(x132,x131)+P4(a6,x131,x132)
% 44.04/44.13  [14]P1(x141)+~P4(a9,x142,x141)
% 44.04/44.13  [15]P1(x151)+~P4(a9,x151,x152)
% 44.04/44.13  [16]P1(x161)+~P4(a7,x162,x161)
% 44.04/44.13  [17]P1(x171)+~P4(a7,x171,x172)
% 44.04/44.13  [18]P2(x181,x182)+~P4(a6,x182,x181)
% 44.04/44.13  [20]P2(x201,x202)+~P2(x203,x202)+~P4(a9,x203,x201)
% 44.04/44.13  [21]P2(x211,x212)+~P2(x213,x212)+~P4(a7,x211,x213)
% 44.04/44.13  [22]P2(x221,x222)+~P2(x223,x222)+~P4(a7,x223,x221)
% 44.04/44.13  [19]~P1(x192)+~P1(x191)+P4(a9,x191,x192)+P2(x191,f2(x191,x192))
% 44.04/44.13  [23]~P1(x231)+~P1(x232)+P4(a9,x231,x232)+~P2(x232,f2(x231,x232))
% 44.04/44.13  [26]~P4(a6,a1,a1)+~P4(a6,a1,a5)+~P4(a9,a1,a5)+~P4(a9,a8,a1)+~P4(a7,a1,a4)
% 44.04/44.13  [24]~P1(x242)+~P1(x241)+P4(a7,x241,x242)+P2(x242,f3(x241,x242))+P2(x241,f3(x241,x242))
% 44.04/44.13  [25]~P1(x252)+~P1(x251)+P4(a7,x251,x252)+~P2(x252,f3(x251,x252))+~P2(x251,f3(x251,x252))
% 44.04/44.13  %EqnAxiom
% 44.04/44.13  
% 44.04/44.13  %-------------------------------------------
% 44.04/44.13  cnf(27,plain,
% 44.04/44.13     (P4(a9,a1,a5)),
% 44.04/44.13     inference(scs_inference,[],[1,5,4,23])).
% 44.04/44.13  cnf(34,plain,
% 44.04/44.13     (~P4(a6,a1,a1)+~P4(a6,a1,a5)+~P4(a9,a8,a1)+~P4(a7,a1,a4)),
% 44.04/44.13     inference(scs_inference,[],[27,26])).
% 44.04/44.13  cnf(35,plain,
% 44.04/44.13     (P1(x351)+~P2(a8,x351)),
% 44.04/44.13     inference(scs_inference,[],[6,10])).
% 44.04/44.13  cnf(47,plain,
% 44.04/44.13     (P2(a1,a1)),
% 44.04/44.13     inference(scs_inference,[],[27,15,7])).
% 44.04/44.13  cnf(55,plain,
% 44.04/44.13     (P2(a1,x551)+~P2(a8,x551)),
% 44.04/44.13     inference(scs_inference,[],[7,35])).
% 44.04/44.13  cnf(56,plain,
% 44.04/44.13     (~P3(x561)+P2(a1,x561)),
% 44.04/44.13     inference(scs_inference,[],[55,9])).
% 44.04/44.13  cnf(57,plain,
% 44.04/44.14     (~P3(x571)+P4(a6,x571,a1)),
% 44.04/44.14     inference(scs_inference,[],[56,13])).
% 44.04/44.14  cnf(58,plain,
% 44.04/44.14     (~P2(a8,x581)+P4(a6,x581,a1)),
% 44.04/44.14     inference(scs_inference,[],[57,10])).
% 44.04/44.14  cnf(59,plain,
% 44.04/44.14     (~P4(a6,x591,a8)+P4(a6,x591,a1)),
% 44.04/44.14     inference(scs_inference,[],[58,18])).
% 44.04/44.14  cnf(60,plain,
% 44.04/44.14     (P2(a1,x601)+~P4(a6,x601,a8)),
% 44.04/44.14     inference(scs_inference,[],[59,18])).
% 44.04/44.14  cnf(61,plain,
% 44.04/44.14     (P4(a9,a8,a1)+~P4(a6,f2(a8,a1),a8)),
% 44.04/44.14     inference(scs_inference,[],[3,1,60,23])).
% 44.04/44.14  cnf(62,plain,
% 44.04/44.14     (~P2(a8,f2(a8,a1))+P4(a9,a8,a1)),
% 44.04/44.14     inference(scs_inference,[],[61,13])).
% 44.04/44.14  cnf(264,plain,
% 44.04/44.14     (~P3(x2641)+P4(a6,x2641,a8)),
% 44.04/44.14     inference(scs_inference,[],[9,13])).
% 44.04/44.14  cnf(721,plain,
% 44.04/44.14     (P3(f2(a8,a1))+P4(a9,a8,a1)),
% 44.04/44.14     inference(scs_inference,[],[1,3,10,19])).
% 44.04/44.14  cnf(785,plain,
% 44.04/44.14     (P1(f3(a1,a4))+P4(a7,a1,a4)+P2(a1,f3(a1,a4))),
% 44.04/44.14     inference(scs_inference,[],[2,1,12,24])).
% 44.04/44.14  cnf(1282,plain,
% 44.04/44.14     (P4(a9,a8,a1)+P4(a6,f2(a8,a1),a8)),
% 44.04/44.14     inference(scs_inference,[],[264,721])).
% 44.04/44.14  cnf(1283,plain,
% 44.04/44.14     (P2(a8,f2(a8,a1))+P4(a9,a8,a1)),
% 44.04/44.14     inference(scs_inference,[],[1282,18])).
% 44.04/44.14  cnf(1284,plain,
% 44.04/44.14     (P4(a9,a8,a1)),
% 44.04/44.14     inference(scs_inference,[],[1283,62])).
% 44.04/44.14  cnf(1285,plain,
% 44.04/44.14     (~P4(a7,a1,a4)+~P4(a6,a1,a1)+~P4(a6,a1,a5)),
% 44.04/44.14     inference(scs_inference,[],[1284,34])).
% 44.04/44.14  cnf(1286,plain,
% 44.04/44.14     (~P4(a7,a1,a4)+~P4(a6,a1,a5)),
% 44.04/44.14     inference(scs_inference,[],[47,1285,13])).
% 44.04/44.14  cnf(1287,plain,
% 44.04/44.14     (P2(a1,f3(a1,a4))+P1(f3(a1,a4))+~P4(a6,a1,a5)),
% 44.04/44.14     inference(scs_inference,[],[1286,785])).
% 44.04/44.14  cnf(1288,plain,
% 44.04/44.14     (P1(f3(a1,a4))+~P4(a6,a1,a5)),
% 44.04/44.14     inference(scs_inference,[],[1287,11])).
% 44.04/44.14  cnf(1289,plain,
% 44.04/44.14     (P2(a1,f3(a1,a4))+~P4(a6,a1,a5)),
% 44.04/44.14     inference(scs_inference,[],[1288,7])).
% 44.04/44.14  cnf(1290,plain,
% 44.04/44.14     (P4(a6,f3(a1,a4),a1)+~P4(a6,a1,a5)),
% 44.04/44.14     inference(scs_inference,[],[1289,13])).
% 44.04/44.14  cnf(1291,plain,
% 44.04/44.14     (P4(a6,f3(a1,a4),a1)),
% 44.04/44.14     inference(scs_inference,[],[5,1290,13])).
% 44.04/44.14  cnf(1292,plain,
% 44.04/44.14     (P2(a1,f3(a1,a4))),
% 44.04/44.14     inference(scs_inference,[],[1291,18])).
% 44.04/44.14  cnf(1294,plain,
% 44.04/44.14     (P1(f3(a1,a4))),
% 44.04/44.14     inference(scs_inference,[],[1291,18,11])).
% 44.04/44.14  cnf(2240,plain,
% 44.04/44.14     (~P4(a7,a1,a4)),
% 44.04/44.14     inference(scs_inference,[],[5,13,1286])).
% 44.04/44.14  cnf(2241,plain,
% 44.04/44.14     (P4(a6,f3(a1,a4),a4)),
% 44.04/44.14     inference(scs_inference,[],[1294,13,8])).
% 44.04/44.14  cnf(2244,plain,
% 44.04/44.14     ($false),
% 44.04/44.14     inference(scs_inference,[],[2240,2241,1292,1,2,18,25]),
% 44.04/44.14     ['proof']).
% 44.04/44.14  % SZS output end Proof
% 44.04/44.14  % Total time :43.530000s
%------------------------------------------------------------------------------