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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWB022+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 : n002.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 16:05:25 EDT 2024

% Result   : Theorem 58.82s 58.91s
% Output   : CNFRefutation 58.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB022+2 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n002.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 18:30:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.42/0.61  start to proof:theBenchmark
% 58.82/58.90  %-------------------------------------------
% 58.82/58.90  % File        :CSE---1.7
% 58.82/58.90  % Problem     :theBenchmark
% 58.82/58.90  % Transform   :cnf
% 58.82/58.90  % Format      :tptp:raw
% 58.82/58.90  % Command     :java -jar mcs_scs.jar %d %s
% 58.82/58.90  
% 58.82/58.90  % Result      :Theorem 58.210000s
% 58.82/58.90  % Output      :CNFRefutation 58.210000s
% 58.82/58.90  %-------------------------------------------
% 58.82/58.91  %------------------------------------------------------------------------------
% 58.82/58.91  % File     : SWB022+2 : TPTP v8.2.0. Released v5.2.0.
% 58.82/58.91  % Domain   : Semantic Web
% 58.82/58.91  % Problem  : List Member Access
% 58.82/58.91  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 58.82/58.91  % English  :
% 58.82/58.91  
% 58.82/58.91  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 58.82/58.91  % Source   : [Sch11]
% 58.82/58.91  % Names    : 022_List_Member_Access [Sch11]
% 58.82/58.91  
% 58.82/58.91  % Status   : Theorem
% 58.82/58.91  % Rating   : 0.06 v8.2.0, 0.13 v8.1.0, 0.14 v7.5.0, 0.10 v7.4.0, 0.12 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.21 v6.3.0, 0.15 v6.2.0, 0.18 v6.1.0, 0.16 v6.0.0, 0.50 v5.5.0, 0.21 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0
% 58.82/58.91  % Syntax   : Number of formulae    :    4 (   0 unt;   0 def)
% 58.82/58.91  %            Number of atoms       :   38 (   0 equ)
% 58.82/58.91  %            Maximal formula atoms :   19 (   9 avg)
% 58.82/58.91  %            Number of connectives :   34 (   0   ~;   0   |;  29   &)
% 58.82/58.91  %                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
% 58.82/58.91  %            Maximal formula depth :   27 (  14 avg)
% 58.82/58.91  %            Maximal term depth    :    1 (   1 avg)
% 58.82/58.91  %            Number of predicates  :    2 (   2 usr;   0 prp; 1-3 aty)
% 58.82/58.91  %            Number of functors    :   13 (  13 usr;  13 con; 0-0 aty)
% 58.82/58.91  %            Number of variables   :   20 (  12   !;   8   ?)
% 58.82/58.91  % SPC      : FOF_THM_RFO_NEQ
% 58.82/58.91  
% 58.82/58.91  % Comments :
% 58.82/58.91  %------------------------------------------------------------------------------
% 58.82/58.91  fof(rdfs_subpropertyof_main,axiom,
% 58.82/58.91      ! [P,Q] :
% 58.82/58.91        ( iext(uri_rdfs_subPropertyOf,P,Q)
% 58.82/58.91       => ( ip(P)
% 58.82/58.91          & ip(Q)
% 58.82/58.91          & ! [X,Y] :
% 58.82/58.91              ( iext(P,X,Y)
% 58.82/58.91             => iext(Q,X,Y) ) ) ) ).
% 58.82/58.91  
% 58.82/58.91  fof(owl_chain_002,axiom,
% 58.82/58.91      ! [P,S1,P1,S2,P2] :
% 58.82/58.91        ( ( iext(uri_rdf_first,S1,P1)
% 58.82/58.91          & iext(uri_rdf_rest,S1,S2)
% 58.82/58.91          & iext(uri_rdf_first,S2,P2)
% 58.82/58.91          & iext(uri_rdf_rest,S2,uri_rdf_nil) )
% 58.82/58.91       => ( iext(uri_owl_propertyChainAxiom,P,S1)
% 58.82/58.91        <=> ( ip(P)
% 58.82/58.91            & ip(P1)
% 58.82/58.91            & ip(P2)
% 58.82/58.91            & ! [Y0,Y1,Y2] :
% 58.82/58.91                ( ( iext(P1,Y0,Y1)
% 58.82/58.91                  & iext(P2,Y1,Y2) )
% 58.82/58.91               => iext(P,Y0,Y2) ) ) ) ) ).
% 58.82/58.91  
% 58.82/58.91  fof(testcase_conclusion_fullish_022_List_Member_Access,conjecture,
% 58.82/58.91      ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
% 58.82/58.91      & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
% 58.82/58.91      & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ) ).
% 58.82/58.91  
% 58.82/58.91  fof(testcase_premise_fullish_022_List_Member_Access,axiom,
% 58.82/58.91      ? [BNODE_pL,BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33] :
% 58.82/58.91        ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
% 58.82/58.91        & iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
% 58.82/58.91        & iext(uri_rdf_first,BNODE_l11,BNODE_pL)
% 58.82/58.91        & iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
% 58.82/58.91        & iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
% 58.82/58.91        & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
% 58.82/58.91        & iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
% 58.82/58.91        & iext(uri_rdf_first,BNODE_l21,BNODE_pL)
% 58.82/58.91        & iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
% 58.82/58.91        & iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
% 58.82/58.91        & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
% 58.82/58.91        & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
% 58.82/58.91        & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
% 58.82/58.91        & iext(uri_rdf_first,BNODE_l31,uri_ex_X)
% 58.82/58.91        & iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
% 58.82/58.91        & iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
% 58.82/58.91        & iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
% 58.82/58.91        & iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
% 58.82/58.91        & iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) ) ).
% 58.82/58.91  
% 58.82/58.91  %------------------------------------------------------------------------------
% 58.82/58.91  %-------------------------------------------
% 58.82/58.91  % Proof found
% 58.82/58.91  % SZS status Theorem for theBenchmark
% 58.82/58.91  % SZS output start Proof
% 58.82/58.92  %ClaNum:30(EqnAxiom:0)
% 58.82/58.92  %VarNum:131(SingletonVarNum:46)
% 58.82/58.92  %MaxLitNum:9
% 58.82/58.92  %MaxfuncDepth:1
% 58.82/58.92  %SharedTerms:43
% 58.82/58.92  %goalClause: 23
% 58.82/58.92  [1]P1(a1,a22,a2)
% 58.82/58.92  [2]P1(a8,a9,a2)
% 58.82/58.92  [3]P1(a8,a10,a8)
% 58.82/58.92  [4]P1(a8,a11,a2)
% 58.82/58.92  [5]P1(a8,a12,a19)
% 58.82/58.92  [6]P1(a8,a13,a14)
% 58.82/58.92  [7]P1(a8,a3,a16)
% 58.82/58.92  [8]P1(a8,a4,a17)
% 58.82/58.92  [9]P1(a19,a9,a10)
% 58.82/58.92  [10]P1(a19,a10,a20)
% 58.82/58.92  [11]P1(a19,a11,a12)
% 58.82/58.92  [12]P1(a19,a12,a20)
% 58.82/58.92  [13]P1(a19,a13,a3)
% 58.82/58.92  [14]P1(a19,a3,a4)
% 58.82/58.92  [15]P1(a19,a4,a20)
% 58.82/58.92  [16]P1(a18,a23,a9)
% 58.82/58.92  [17]P1(a18,a2,a11)
% 58.82/58.92  [18]P1(a22,a15,a13)
% 58.82/58.92  [19]P1(a21,a15,a24)
% 58.82/58.92  [20]P2(x201)+~P1(a1,x202,x201)
% 58.82/58.92  [21]P2(x211)+~P1(a1,x211,x212)
% 58.82/58.92  [23]~P1(a23,a15,a14)+~P1(a23,a15,a16)+~P1(a23,a15,a17)
% 58.82/58.92  [22]P1(x221,x222,x223)+~P1(x224,x222,x223)+~P1(a1,x224,x221)
% 58.82/58.92  [24]P2(x241)+~P1(a19,x243,x242)+~P1(a8,x242,x241)+~P1(a8,x243,x244)+~P1(a18,x245,x243)+~P1(a19,x242,a20)
% 58.82/58.92  [25]P2(x251)+~P1(a19,x254,x252)+~P1(a8,x252,x253)+~P1(a8,x254,x251)+~P1(a18,x255,x254)+~P1(a19,x252,a20)
% 58.82/58.92  [26]P2(x261)+~P1(a19,x264,x262)+~P1(a18,x261,x264)+~P1(a8,x262,x263)+~P1(a8,x264,x265)+~P1(a19,x262,a20)
% 58.82/58.92  [27]P1(x271,x272,x273)+~P1(x274,x275,x273)+~P1(x276,x272,x275)+~P1(a19,x278,x277)+~P1(a18,x271,x278)+~P1(a8,x277,x274)+~P1(a8,x278,x276)+~P1(a19,x277,a20)
% 58.82/58.92  [28]~P2(x285)+~P2(x281)+~P2(x283)+~P1(a8,x284,x285)+~P1(a8,x282,x283)+~P1(a19,x282,x284)+P1(x283,f5(x281,x282,x283,x284,x285),f6(x281,x282,x283,x284,x285))+P1(a18,x281,x282)+~P1(a19,x284,a20)
% 58.82/58.92  [29]~P2(x294)+~P2(x291)+~P2(x293)+~P1(a8,x295,x293)+~P1(a8,x292,x294)+~P1(a19,x292,x295)+P1(x293,f6(x291,x292,x294,x295,x293),f7(x291,x292,x294,x295,x293))+P1(a18,x291,x292)+~P1(a19,x295,a20)
% 58.82/58.92  [30]~P2(x301)+~P2(x303)+~P2(x304)+~P1(a8,x302,x304)+~P1(a19,x302,x305)+~P1(x301,f5(x301,x302,x304,x305,x303),f7(x301,x302,x304,x305,x303))+P1(a18,x301,x302)+~P1(a8,x305,x303)+~P1(a19,x305,a20)
% 58.82/58.92  %EqnAxiom
% 58.82/58.92  
% 58.82/58.92  %-------------------------------------------
% 58.82/58.92  cnf(35,plain,
% 58.82/58.92     (P1(a2,a15,a13)),
% 58.82/58.92     inference(scs_inference,[],[1,18,20,21,22])).
% 58.82/58.92  cnf(70,plain,
% 58.82/58.92     (~P1(a23,a15,a16)+~P1(a23,a15,a17)),
% 58.82/58.92     inference(scs_inference,[],[35,10,16,6,9,2,3,27,23])).
% 58.82/58.92  cnf(77,plain,
% 58.82/58.92     (P1(a23,x771,a16)+~P1(a2,x771,a3)),
% 58.82/58.92     inference(scs_inference,[],[10,16,7,9,2,3,27])).
% 58.82/58.92  cnf(387,plain,
% 58.82/58.92     (P1(a2,a15,a3)),
% 58.82/58.92     inference(scs_inference,[],[35,12,13,11,5,17,4,27])).
% 58.82/58.92  cnf(391,plain,
% 58.82/58.92     (~P1(a23,a15,a17)),
% 58.82/58.92     inference(scs_inference,[],[35,12,13,11,5,17,4,27,77,70])).
% 58.82/58.92  cnf(14303,plain,
% 58.82/58.92     (P1(a2,a15,a4)),
% 58.82/58.92     inference(scs_inference,[],[387,4,17,12,14,5,11,27])).
% 58.82/58.92  cnf(14365,plain,
% 58.82/58.92     ($false),
% 58.82/58.92     inference(scs_inference,[],[2,14303,391,8,16,3,10,9,27]),
% 58.82/58.92     ['proof']).
% 58.82/58.92  % SZS output end Proof
% 58.82/58.92  % Total time :58.210000s
%------------------------------------------------------------------------------