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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWB020+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 : n025.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 16:05:24 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWB020+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
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Jun 18 18:07:24 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.56/0.58  start to proof:theBenchmark
% 0.56/0.74  %-------------------------------------------
% 0.56/0.74  % File        :CSE---1.7
% 0.56/0.74  % Problem     :theBenchmark
% 0.56/0.74  % Transform   :cnf
% 0.56/0.74  % Format      :tptp:raw
% 0.56/0.74  % Command     :java -jar mcs_scs.jar %d %s
% 0.56/0.74  
% 0.56/0.74  % Result      :Theorem 0.110000s
% 0.56/0.74  % Output      :CNFRefutation 0.110000s
% 0.56/0.74  %-------------------------------------------
% 0.56/0.74  %------------------------------------------------------------------------------
% 0.56/0.74  % File     : SWB020+2 : TPTP v8.2.0. Released v5.2.0.
% 0.56/0.74  % Domain   : Semantic Web
% 0.56/0.74  % Problem  : Logical Complications
% 0.56/0.74  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 0.56/0.74  % English  :
% 0.56/0.74  
% 0.56/0.74  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.56/0.74  % Source   : [Sch11]
% 0.56/0.74  % Names    : 020_Logical_Complications [Sch11]
% 0.56/0.74  
% 0.56/0.74  % Status   : Theorem
% 0.56/0.74  % Rating   : 0.06 v8.2.0, 0.13 v8.1.0, 0.21 v7.5.0, 0.24 v7.4.0, 0.19 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.29 v6.3.0, 0.23 v6.2.0, 0.36 v6.1.0, 0.44 v6.0.0, 0.50 v5.4.0, 0.52 v5.3.0, 0.65 v5.2.0
% 0.56/0.74  % Syntax   : Number of formulae    :    8 (   1 unt;   0 def)
% 0.56/0.74  %            Number of atoms       :   60 (   0 equ)
% 0.56/0.74  %            Maximal formula atoms :   15 (   7 avg)
% 0.56/0.74  %            Number of connectives :   54 (   2   ~;   2   |;  38   &)
% 0.56/0.74  %                                         (   7 <=>;   5  =>;   0  <=;   0 <~>)
% 0.56/0.74  %            Maximal formula depth :   22 (  11 avg)
% 0.56/0.74  %            Maximal term depth    :    1 (   1 avg)
% 0.56/0.74  %            Number of predicates  :    3 (   3 usr;   0 prp; 1-3 aty)
% 0.56/0.74  %            Number of functors    :   13 (  13 usr;  13 con; 0-0 aty)
% 0.56/0.74  %            Number of variables   :   32 (  25   !;   7   ?)
% 0.56/0.74  % SPC      : FOF_THM_RFO_NEQ
% 0.56/0.74  
% 0.56/0.74  % Comments :
% 0.56/0.74  %------------------------------------------------------------------------------
% 0.56/0.74  fof(owl_prop_disjointwith_ext,axiom,
% 0.56/0.74      ! [X,Y] :
% 0.56/0.74        ( iext(uri_owl_disjointWith,X,Y)
% 0.56/0.74       => ( ic(X)
% 0.56/0.74          & ic(Y) ) ) ).
% 0.56/0.74  
% 0.56/0.74  fof(owl_bool_complementof_class,axiom,
% 0.56/0.74      ! [Z,C] :
% 0.56/0.74        ( iext(uri_owl_complementOf,Z,C)
% 0.56/0.74       => ( ic(Z)
% 0.56/0.74          & ic(C)
% 0.56/0.74          & ! [X] :
% 0.56/0.74              ( icext(Z,X)
% 0.56/0.74            <=> ~ icext(C,X) ) ) ) ).
% 0.56/0.74  
% 0.56/0.74  fof(owl_bool_intersectionof_class_002,axiom,
% 0.56/0.74      ! [Z,S1,C1,S2,C2] :
% 0.56/0.74        ( ( iext(uri_rdf_first,S1,C1)
% 0.56/0.74          & iext(uri_rdf_rest,S1,S2)
% 0.56/0.74          & iext(uri_rdf_first,S2,C2)
% 0.56/0.74          & iext(uri_rdf_rest,S2,uri_rdf_nil) )
% 0.56/0.74       => ( iext(uri_owl_intersectionOf,Z,S1)
% 0.56/0.74        <=> ( ic(Z)
% 0.56/0.74            & ic(C1)
% 0.56/0.74            & ic(C2)
% 0.56/0.74            & ! [X] :
% 0.56/0.74                ( icext(Z,X)
% 0.56/0.74              <=> ( icext(C1,X)
% 0.56/0.74                  & icext(C2,X) ) ) ) ) ) ).
% 0.56/0.74  
% 0.56/0.74  fof(owl_bool_unionof_class_003,axiom,
% 0.56/0.74      ! [Z,S1,C1,S2,C2,S3,C3] :
% 0.56/0.74        ( ( iext(uri_rdf_first,S1,C1)
% 0.56/0.74          & iext(uri_rdf_rest,S1,S2)
% 0.56/0.74          & iext(uri_rdf_first,S2,C2)
% 0.56/0.74          & iext(uri_rdf_rest,S2,S3)
% 0.56/0.74          & iext(uri_rdf_first,S3,C3)
% 0.56/0.74          & iext(uri_rdf_rest,S3,uri_rdf_nil) )
% 0.56/0.74       => ( iext(uri_owl_unionOf,Z,S1)
% 0.56/0.74        <=> ( ic(Z)
% 0.56/0.74            & ic(C1)
% 0.56/0.74            & ic(C2)
% 0.56/0.74            & ic(C3)
% 0.56/0.74            & ! [X] :
% 0.56/0.74                ( icext(Z,X)
% 0.56/0.74              <=> ( icext(C1,X)
% 0.56/0.74                  | icext(C2,X)
% 0.56/0.74                  | icext(C3,X) ) ) ) ) ) ).
% 0.56/0.74  
% 0.56/0.74  fof(owl_rdfsext_subclassof,axiom,
% 0.56/0.74      ! [C1,C2] :
% 0.56/0.74        ( iext(uri_rdfs_subClassOf,C1,C2)
% 0.56/0.74      <=> ( ic(C1)
% 0.56/0.74          & ic(C2)
% 0.56/0.74          & ! [X] :
% 0.56/0.74              ( icext(C1,X)
% 0.56/0.74             => icext(C2,X) ) ) ) ).
% 0.56/0.74  
% 0.56/0.74  fof(owl_eqdis_disjointwith,axiom,
% 0.56/0.74      ! [C1,C2] :
% 0.56/0.75        ( iext(uri_owl_disjointWith,C1,C2)
% 0.56/0.75      <=> ( ic(C1)
% 0.56/0.75          & ic(C2)
% 0.56/0.75          & ! [X] :
% 0.56/0.75              ~ ( icext(C1,X)
% 0.56/0.75                & icext(C2,X) ) ) ) ).
% 0.56/0.75  
% 0.56/0.75  fof(testcase_conclusion_fullish_020_Logical_Complications,conjecture,
% 0.56/0.75      iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ).
% 0.56/0.75  
% 0.56/0.75  fof(testcase_premise_fullish_020_Logical_Complications,axiom,
% 0.56/0.75      ? [BNODE_xs,BNODE_xc,BNODE_lu1,BNODE_lu2,BNODE_lu3,BNODE_li1,BNODE_li2] :
% 0.56/0.75        ( iext(uri_owl_unionOf,uri_ex_c,BNODE_lu1)
% 0.56/0.75        & iext(uri_rdf_first,BNODE_lu1,uri_ex_c1)
% 0.56/0.75        & iext(uri_rdf_rest,BNODE_lu1,BNODE_lu2)
% 0.56/0.75        & iext(uri_rdf_first,BNODE_lu2,uri_ex_c2)
% 0.56/0.75        & iext(uri_rdf_rest,BNODE_lu2,BNODE_lu3)
% 0.56/0.75        & iext(uri_rdf_first,BNODE_lu3,uri_ex_c3)
% 0.56/0.75        & iext(uri_rdf_rest,BNODE_lu3,uri_rdf_nil)
% 0.56/0.75        & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
% 0.56/0.75        & iext(uri_rdfs_subClassOf,uri_ex_d,BNODE_xs)
% 0.56/0.75        & iext(uri_owl_intersectionOf,BNODE_xs,BNODE_li1)
% 0.56/0.75        & iext(uri_rdf_first,BNODE_li1,uri_ex_c)
% 0.56/0.75        & iext(uri_rdf_rest,BNODE_li1,BNODE_li2)
% 0.56/0.75        & iext(uri_rdf_first,BNODE_li2,BNODE_xc)
% 0.56/0.75        & iext(uri_rdf_rest,BNODE_li2,uri_rdf_nil)
% 0.56/0.75        & iext(uri_owl_complementOf,BNODE_xc,uri_ex_c2) ) ).
% 0.56/0.75  
% 0.56/0.75  %------------------------------------------------------------------------------
% 0.56/0.75  %-------------------------------------------
% 0.56/0.75  % Proof found
% 0.56/0.75  % SZS status Theorem for theBenchmark
% 0.56/0.75  % SZS output start Proof
% 0.56/0.75  %ClaNum:53(EqnAxiom:0)
% 0.56/0.75  %VarNum:495(SingletonVarNum:168)
% 0.56/0.75  %MaxLitNum:15
% 0.56/0.75  %MaxfuncDepth:1
% 0.56/0.75  %SharedTerms:36
% 0.56/0.75  %goalClause: 16
% 0.56/0.75  %singleGoalClaCount:1
% 0.56/0.75  [1]P1(a1,a2,a3)
% 0.56/0.75  [2]P1(a18,a4,a16)
% 0.56/0.75  [3]P1(a19,a12,a3)
% 0.56/0.75  [4]P1(a19,a13,a16)
% 0.56/0.75  [5]P1(a19,a14,a17)
% 0.56/0.75  [6]P1(a19,a5,a15)
% 0.56/0.75  [7]P1(a19,a6,a4)
% 0.56/0.75  [8]P1(a22,a12,a13)
% 0.56/0.75  [9]P1(a22,a13,a14)
% 0.56/0.75  [10]P1(a22,a14,a23)
% 0.56/0.75  [11]P1(a22,a5,a6)
% 0.56/0.75  [12]P1(a22,a6,a23)
% 0.56/0.75  [13]P1(a20,a7,a5)
% 0.56/0.75  [14]P1(a21,a15,a12)
% 0.56/0.75  [15]P1(a24,a2,a7)
% 0.56/0.75  [16]~P1(a24,a2,a17)
% 0.56/0.75  [18]P2(x181)+~P1(a1,x182,x181)
% 0.56/0.75  [20]P2(x201)+~P1(a1,x201,x202)
% 0.56/0.75  [21]P2(x211)+~P1(a18,x212,x211)
% 0.56/0.75  [22]P2(x221)+~P1(a18,x221,x222)
% 0.56/0.75  [23]P2(x231)+~P1(a24,x232,x231)
% 0.56/0.75  [24]P2(x241)+~P1(a24,x241,x242)
% 0.56/0.75  [28]P3(x281,x282)+P3(x283,x282)+~P1(a18,x281,x283)
% 0.56/0.75  [29]P3(x291,x292)+~P3(x293,x292)+~P1(a24,x293,x291)
% 0.56/0.75  [30]~P3(x301,x302)+~P3(x303,x302)+~P1(a1,x303,x301)
% 0.56/0.75  [31]~P3(x311,x312)+~P3(x313,x312)+~P1(a18,x313,x311)
% 0.56/0.75  [25]~P2(x251)+~P2(x252)+P1(a1,x251,x252)+P3(x252,f8(x251,x252))
% 0.56/0.75  [26]~P2(x262)+~P2(x261)+P1(a1,x261,x262)+P3(x261,f8(x261,x262))
% 0.56/0.75  [27]~P2(x272)+~P2(x271)+P1(a24,x271,x272)+P3(x271,f9(x271,x272))
% 0.56/0.75  [32]~P2(x321)+~P2(x322)+P1(a24,x321,x322)+~P3(x322,f9(x321,x322))
% 0.56/0.75  [33]P2(x331)+~P1(a22,x333,x332)+~P1(a19,x332,x331)+~P1(a19,x333,x334)+~P1(a20,x335,x333)+~P1(a22,x332,a23)
% 0.56/0.75  [34]P2(x341)+~P1(a22,x344,x342)+~P1(a19,x342,x343)+~P1(a19,x344,x341)+~P1(a20,x345,x344)+~P1(a22,x342,a23)
% 0.56/0.75  [35]P2(x351)+~P1(a22,x354,x352)+~P1(a20,x351,x354)+~P1(a19,x352,x353)+~P1(a19,x354,x355)+~P1(a22,x352,a23)
% 0.56/0.75  [36]P3(x361,x362)+~P3(x363,x362)+~P1(a22,x365,x364)+~P1(a20,x363,x365)+~P1(a19,x364,x361)+~P1(a19,x365,x366)+~P1(a22,x364,a23)
% 0.56/0.75  [37]P3(x371,x372)+~P3(x373,x372)+~P1(a22,x376,x374)+~P1(a20,x373,x376)+~P1(a19,x374,x375)+~P1(a19,x376,x371)+~P1(a22,x374,a23)
% 0.56/0.75  [38]P3(x381,x382)+~P3(x383,x382)+~P3(x384,x382)+~P1(a22,x386,x385)+~P1(a20,x381,x386)+~P1(a19,x385,x383)+~P1(a19,x386,x384)+~P1(a22,x385,a23)
% 0.56/0.75  [39]P2(x391)+~P1(a22,x393,x392)+~P1(a22,x395,x393)+~P1(a19,x392,x391)+~P1(a19,x393,x394)+~P1(a19,x395,x396)+~P1(a21,x397,x395)+~P1(a22,x392,a23)
% 0.56/0.75  [40]P2(x401)+~P1(a22,x404,x402)+~P1(a22,x405,x404)+~P1(a19,x402,x403)+~P1(a19,x404,x401)+~P1(a19,x405,x406)+~P1(a21,x407,x405)+~P1(a22,x402,a23)
% 0.56/0.75  [41]P2(x411)+~P1(a22,x414,x412)+~P1(a22,x416,x414)+~P1(a19,x412,x413)+~P1(a19,x414,x415)+~P1(a19,x416,x411)+~P1(a21,x417,x416)+~P1(a22,x412,a23)
% 0.56/0.75  [42]P2(x421)+~P1(a22,x424,x422)+~P1(a22,x426,x424)+~P1(a21,x421,x426)+~P1(a19,x422,x423)+~P1(a19,x424,x425)+~P1(a19,x426,x427)+~P1(a22,x422,a23)
% 0.56/0.75  [43]P3(x431,x432)+~P3(x433,x432)+~P1(a22,x435,x434)+~P1(a22,x437,x435)+~P1(a21,x431,x437)+~P1(a19,x434,x433)+~P1(a19,x435,x436)+~P1(a19,x437,x438)+~P1(a22,x434,a23)
% 0.56/0.75  [44]P3(x441,x442)+~P3(x443,x442)+~P1(a22,x446,x444)+~P1(a22,x447,x446)+~P1(a21,x441,x447)+~P1(a19,x444,x445)+~P1(a19,x446,x443)+~P1(a19,x447,x448)+~P1(a22,x444,a23)
% 0.56/0.75  [45]P3(x451,x452)+~P3(x453,x452)+~P1(a22,x456,x454)+~P1(a22,x458,x456)+~P1(a21,x451,x458)+~P1(a19,x454,x455)+~P1(a19,x456,x457)+~P1(a19,x458,x453)+~P1(a22,x454,a23)
% 0.56/0.75  [47]~P2(x473)+~P2(x471)+~P2(x475)+~P1(a19,x474,x475)+~P1(a19,x472,x473)+~P1(a22,x472,x474)+P1(a20,x471,x472)+P3(x471,f10(x471,x472,x473,x474,x475))+P3(x475,f10(x471,x472,x473,x474,x475))+~P1(a22,x474,a23)
% 0.56/0.75  [48]~P2(x485)+~P2(x481)+~P2(x483)+~P1(a19,x484,x485)+~P1(a19,x482,x483)+~P1(a22,x482,x484)+P1(a20,x481,x482)+P3(x481,f10(x481,x482,x483,x484,x485))+P3(x483,f10(x481,x482,x483,x484,x485))+~P1(a22,x484,a23)
% 0.56/0.75  [49]~P2(x491)+~P2(x493)+~P2(x494)+~P1(a19,x492,x494)+~P1(a22,x492,x495)+P1(a20,x491,x492)+~P1(a19,x495,x493)+~P3(x493,f10(x491,x492,x494,x495,x493))+~P3(x494,f10(x491,x492,x494,x495,x493))+~P3(x491,f10(x491,x492,x494,x495,x493))+~P1(a22,x495,a23)
% 0.56/0.75  [46]P3(x461,x462)+P3(x463,x462)+P3(x464,x462)+~P3(x465,x462)+~P1(a22,x467,x466)+~P1(a22,x468,x467)+~P1(a21,x465,x468)+~P1(a19,x466,x461)+~P1(a19,x467,x463)+~P1(a19,x468,x464)+~P1(a22,x466,a23)
% 0.56/0.75  [50]~P2(x501)+~P2(x503)+~P2(x504)+~P2(x505)+~P1(a19,x502,x505)+~P1(a22,x507,x506)+~P1(a22,x502,x507)+P1(a21,x501,x502)+~P1(a19,x506,x503)+~P1(a19,x507,x504)+~P3(x501,f11(x501,x502,x505,x507,x504,x506,x503))+~P3(x505,f11(x501,x502,x505,x507,x504,x506,x503))+~P1(a22,x506,a23)
% 0.56/0.75  [51]~P2(x511)+~P2(x513)+~P2(x514)+~P2(x515)+~P1(a19,x512,x514)+~P1(a22,x517,x516)+~P1(a22,x512,x517)+P1(a21,x511,x512)+~P1(a19,x516,x513)+~P1(a19,x517,x515)+~P3(x511,f11(x511,x512,x514,x517,x515,x516,x513))+~P3(x515,f11(x511,x512,x514,x517,x515,x516,x513))+~P1(a22,x516,a23)
% 0.56/0.75  [52]~P2(x521)+~P2(x523)+~P2(x524)+~P2(x525)+~P1(a19,x522,x524)+~P1(a22,x527,x526)+~P1(a22,x522,x527)+P1(a21,x521,x522)+~P1(a19,x526,x525)+~P1(a19,x527,x523)+~P3(x521,f11(x521,x522,x524,x527,x523,x526,x525))+~P3(x525,f11(x521,x522,x524,x527,x523,x526,x525))+~P1(a22,x526,a23)
% 0.56/0.75  [53]~P2(x533)+~P2(x536)+~P2(x534)+~P2(x531)+~P1(a19,x537,x533)+~P1(a19,x535,x536)+~P1(a19,x532,x534)+~P1(a22,x535,x537)+~P1(a22,x532,x535)+P1(a21,x531,x532)+P3(x533,f11(x531,x532,x534,x535,x536,x537,x533))+P3(x536,f11(x531,x532,x534,x535,x536,x537,x533))+P3(x534,f11(x531,x532,x534,x535,x536,x537,x533))+P3(x531,f11(x531,x532,x534,x535,x536,x537,x533))+~P1(a22,x537,a23)
% 0.56/0.75  %EqnAxiom
% 0.56/0.75  
% 0.56/0.75  %-------------------------------------------
% 0.56/0.75  cnf(56,plain,
% 0.56/0.75     (P2(a2)),
% 0.56/0.75     inference(scs_inference,[],[1,18,20])).
% 0.56/0.75  cnf(64,plain,
% 0.56/0.75     (P2(a17)),
% 0.56/0.75     inference(scs_inference,[],[1,2,3,4,5,8,9,10,14,15,18,20,21,22,23,39])).
% 0.56/0.75  cnf(75,plain,
% 0.56/0.75     (~P3(a16,x751)+~P3(a4,x751)),
% 0.56/0.75     inference(scs_inference,[],[2,31])).
% 0.56/0.75  cnf(82,plain,
% 0.56/0.75     (~P3(a3,x821)+~P3(a2,x821)),
% 0.56/0.75     inference(scs_inference,[],[1,30])).
% 0.56/0.75  cnf(87,plain,
% 0.56/0.75     (P3(a7,x871)+~P3(a2,x871)),
% 0.56/0.75     inference(scs_inference,[],[15,29])).
% 0.56/0.75  cnf(98,plain,
% 0.56/0.75     (P3(a15,x981)+~P3(a7,x981)),
% 0.56/0.75     inference(scs_inference,[],[12,13,11,6,7,37])).
% 0.56/0.75  cnf(103,plain,
% 0.56/0.75     (P3(a4,x1031)+~P3(a7,x1031)),
% 0.56/0.75     inference(scs_inference,[],[12,13,11,6,7,36])).
% 0.56/0.75  cnf(132,plain,
% 0.56/0.75     (P3(a2,f9(a2,a17))),
% 0.56/0.75     inference(scs_inference,[],[15,16,64,24,27])).
% 0.56/0.75  cnf(145,plain,
% 0.56/0.75     ($false),
% 0.56/0.75     inference(scs_inference,[],[16,132,56,64,10,8,14,9,4,3,5,82,87,98,103,75,46,32]),
% 0.56/0.75     ['proof']).
% 0.56/0.75  % SZS output end Proof
% 0.56/0.75  % Total time :0.110000s
%------------------------------------------------------------------------------