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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWB027+2 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n013.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 16:05:29 EDT 2024

% Result   : Theorem 0.46s 0.61s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWB027+2 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.37  % Computer : n013.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Tue Jun 18 18:49:09 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.46/0.55  start to proof:theBenchmark
% 0.46/0.61  %-------------------------------------------
% 0.46/0.61  % File        :CSE---1.7
% 0.46/0.61  % Problem     :theBenchmark
% 0.46/0.61  % Transform   :cnf
% 0.46/0.61  % Format      :tptp:raw
% 0.46/0.61  % Command     :java -jar mcs_scs.jar %d %s
% 0.46/0.61  
% 0.46/0.61  % Result      :Theorem 0.010000s
% 0.46/0.61  % Output      :CNFRefutation 0.010000s
% 0.46/0.61  %-------------------------------------------
% 0.46/0.61  %------------------------------------------------------------------------------
% 0.46/0.61  % File     : SWB027+2 : TPTP v8.2.0. Released v5.2.0.
% 0.46/0.61  % Domain   : Semantic Web
% 0.46/0.61  % Problem  : Inferred Property Characteristics II
% 0.46/0.61  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 0.46/0.61  % English  :
% 0.46/0.61  
% 0.46/0.61  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.46/0.61  % Source   : [Sch11]
% 0.46/0.61  % Names    : 027_Inferred_Property_Characteristics_II [Sch11]
% 0.46/0.61  
% 0.46/0.61  % Status   : Theorem
% 0.46/0.61  % Rating   : 0.19 v8.2.0, 0.14 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.20 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.18 v5.3.0, 0.26 v5.2.0
% 0.46/0.61  % Syntax   : Number of formulae    :    7 (   1 unt;   0 def)
% 0.46/0.61  %            Number of atoms       :   32 (   2 equ)
% 0.46/0.61  %            Maximal formula atoms :   11 (   4 avg)
% 0.46/0.61  %            Number of connectives :   25 (   0   ~;   0   |;  16   &)
% 0.46/0.61  %                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
% 0.46/0.61  %            Maximal formula depth :   16 (   7 avg)
% 0.46/0.61  %            Maximal term depth    :    1 (   1 avg)
% 0.46/0.61  %            Number of predicates  :    4 (   3 usr;   0 prp; 1-3 aty)
% 0.46/0.61  %            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
% 0.46/0.61  %            Number of variables   :   23 (  20   !;   3   ?)
% 0.46/0.61  % SPC      : FOF_THM_RFO_SEQ
% 0.46/0.61  
% 0.46/0.61  % Comments :
% 0.46/0.61  %------------------------------------------------------------------------------
% 0.46/0.61  fof(rdfs_cext_def,axiom,
% 0.46/0.61      ! [X,C] :
% 0.46/0.61        ( iext(uri_rdf_type,X,C)
% 0.46/0.61      <=> icext(C,X) ) ).
% 0.46/0.61  
% 0.46/0.61  fof(owl_eqdis_sameas,axiom,
% 0.46/0.61      ! [X,Y] :
% 0.46/0.61        ( iext(uri_owl_sameAs,X,Y)
% 0.46/0.61      <=> X = Y ) ).
% 0.46/0.61  
% 0.46/0.61  fof(owl_chain_002,axiom,
% 0.46/0.61      ! [P,S1,P1,S2,P2] :
% 0.46/0.61        ( ( iext(uri_rdf_first,S1,P1)
% 0.46/0.61          & iext(uri_rdf_rest,S1,S2)
% 0.46/0.61          & iext(uri_rdf_first,S2,P2)
% 0.46/0.61          & iext(uri_rdf_rest,S2,uri_rdf_nil) )
% 0.46/0.61       => ( iext(uri_owl_propertyChainAxiom,P,S1)
% 0.46/0.61        <=> ( ip(P)
% 0.46/0.61            & ip(P1)
% 0.46/0.61            & ip(P2)
% 0.46/0.61            & ! [Y0,Y1,Y2] :
% 0.46/0.61                ( ( iext(P1,Y0,Y1)
% 0.46/0.61                  & iext(P2,Y1,Y2) )
% 0.46/0.61               => iext(P,Y0,Y2) ) ) ) ) ).
% 0.46/0.61  
% 0.46/0.61  fof(owl_char_inversefunctional,axiom,
% 0.46/0.61      ! [P] :
% 0.46/0.61        ( icext(uri_owl_InverseFunctionalProperty,P)
% 0.46/0.61      <=> ( ip(P)
% 0.46/0.61          & ! [X1,X2,Y] :
% 0.46/0.61              ( ( iext(P,X1,Y)
% 0.46/0.61                & iext(P,X2,Y) )
% 0.46/0.61             => X1 = X2 ) ) ) ).
% 0.46/0.61  
% 0.46/0.61  fof(owl_inv,axiom,
% 0.46/0.61      ! [P1,P2] :
% 0.46/0.61        ( iext(uri_owl_inverseOf,P1,P2)
% 0.46/0.61      <=> ( ip(P1)
% 0.46/0.61          & ip(P2)
% 0.46/0.61          & ! [X,Y] :
% 0.46/0.61              ( iext(P1,X,Y)
% 0.46/0.61            <=> iext(P2,Y,X) ) ) ) ).
% 0.46/0.61  
% 0.46/0.61  fof(testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II,conjecture,
% 0.46/0.61      iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ).
% 0.46/0.61  
% 0.46/0.61  fof(testcase_premise_fullish_027_Inferred_Property_Characteristics_II,axiom,
% 0.46/0.61      ? [BNODE_l1,BNODE_l2,BNODE_v] :
% 0.46/0.61        ( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1)
% 0.46/0.61        & iext(uri_rdf_first,BNODE_l1,uri_ex_p)
% 0.46/0.61        & iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
% 0.46/0.61        & iext(uri_rdf_first,BNODE_l2,BNODE_v)
% 0.46/0.61        & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
% 0.46/0.61        & iext(uri_owl_inverseOf,BNODE_v,uri_ex_p) ) ).
% 0.46/0.61  
% 0.46/0.61  %------------------------------------------------------------------------------
% 0.46/0.61  %-------------------------------------------
% 0.46/0.61  % Proof found
% 0.46/0.61  % SZS status Theorem for theBenchmark
% 0.46/0.61  % SZS output start Proof
% 0.46/0.61  %ClaNum:60(EqnAxiom:31)
% 0.46/0.61  %VarNum:208(SingletonVarNum:70)
% 0.46/0.61  %MaxLitNum:9
% 0.46/0.61  %MaxfuncDepth:1
% 0.46/0.61  %SharedTerms:19
% 0.46/0.61  %goalClause: 38
% 0.46/0.61  %singleGoalClaCount:1
% 0.46/0.61  [32]P1(a1,a2,a13)
% 0.46/0.61  [33]P1(a1,a3,a4)
% 0.46/0.61  [34]P1(a18,a2,a3)
% 0.46/0.61  [35]P1(a18,a3,a19)
% 0.46/0.61  [36]P1(a14,a17,a2)
% 0.46/0.61  [37]P1(a15,a4,a13)
% 0.46/0.61  [38]~P1(a20,a13,a16)
% 0.46/0.61  [39]P3(x391)+~P2(a16,x391)
% 0.46/0.61  [41]~E(x411,x412)+P1(a17,x411,x412)
% 0.46/0.61  [42]~P2(x422,x421)+P1(a20,x421,x422)
% 0.46/0.61  [43]E(x431,x432)+~P1(a17,x431,x432)
% 0.46/0.61  [46]P3(x461)+~P1(a15,x462,x461)
% 0.46/0.61  [47]P3(x471)+~P1(a15,x471,x472)
% 0.46/0.61  [48]P2(x481,x482)+~P1(a20,x482,x481)
% 0.46/0.61  [40]~P3(x401)+~E(f5(x401),f9(x401))+P2(a16,x401)
% 0.46/0.61  [44]~P3(x441)+P1(x441,f5(x441),f10(x441))+P2(a16,x441)
% 0.46/0.61  [45]~P3(x451)+P1(x451,f9(x451),f10(x451))+P2(a16,x451)
% 0.46/0.61  [50]P1(x501,x502,x503)+~P1(x504,x503,x502)+~P1(a15,x501,x504)
% 0.46/0.61  [51]P1(x511,x512,x513)+~P1(x514,x513,x512)+~P1(a15,x514,x511)
% 0.46/0.61  [49]~P1(x493,x491,x494)+E(x491,x492)+~P1(x493,x492,x494)+~P2(a16,x493)
% 0.46/0.61  [52]~P3(x522)+~P3(x521)+P1(x522,f11(x521,x522),f12(x521,x522))+P1(x521,f12(x521,x522),f11(x521,x522))+P1(a15,x521,x522)
% 0.46/0.61  [53]~P3(x532)+~P3(x531)+~P1(x532,f11(x531,x532),f12(x531,x532))+~P1(x531,f12(x531,x532),f11(x531,x532))+P1(a15,x531,x532)
% 0.46/0.61  [54]P3(x541)+~P1(a18,x543,x542)+~P1(a1,x542,x541)+~P1(a1,x543,x544)+~P1(a14,x545,x543)+~P1(a18,x542,a19)
% 0.46/0.61  [55]P3(x551)+~P1(a18,x554,x552)+~P1(a1,x552,x553)+~P1(a1,x554,x551)+~P1(a14,x555,x554)+~P1(a18,x552,a19)
% 0.46/0.61  [56]P3(x561)+~P1(a18,x564,x562)+~P1(a14,x561,x564)+~P1(a1,x562,x563)+~P1(a1,x564,x565)+~P1(a18,x562,a19)
% 0.46/0.61  [57]P1(x571,x572,x573)+~P1(x574,x575,x573)+~P1(x576,x572,x575)+~P1(a18,x578,x577)+~P1(a14,x571,x578)+~P1(a1,x577,x574)+~P1(a1,x578,x576)+~P1(a18,x577,a19)
% 0.46/0.61  [58]~P3(x585)+~P3(x581)+~P3(x583)+~P1(a1,x584,x585)+~P1(a1,x582,x583)+~P1(a18,x582,x584)+P1(x583,f6(x581,x582,x583,x584,x585),f7(x581,x582,x583,x584,x585))+P1(a14,x581,x582)+~P1(a18,x584,a19)
% 0.46/0.61  [59]~P3(x594)+~P3(x591)+~P3(x593)+~P1(a1,x595,x593)+~P1(a1,x592,x594)+~P1(a18,x592,x595)+P1(x593,f7(x591,x592,x594,x595,x593),f8(x591,x592,x594,x595,x593))+P1(a14,x591,x592)+~P1(a18,x595,a19)
% 0.46/0.62  [60]~P3(x601)+~P3(x603)+~P3(x604)+~P1(a1,x602,x604)+~P1(a18,x602,x605)+~P1(x601,f6(x601,x602,x604,x605,x603),f8(x601,x602,x604,x605,x603))+P1(a14,x601,x602)+~P1(a1,x605,x603)+~P1(a18,x605,a19)
% 0.46/0.62  %EqnAxiom
% 0.46/0.62  [1]E(x11,x11)
% 0.46/0.62  [2]E(x22,x21)+~E(x21,x22)
% 0.46/0.62  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.46/0.62  [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.46/0.62  [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 0.46/0.62  [6]~E(x61,x62)+E(f8(x61,x63,x64,x65,x66),f8(x62,x63,x64,x65,x66))
% 0.46/0.62  [7]~E(x71,x72)+E(f8(x73,x71,x74,x75,x76),f8(x73,x72,x74,x75,x76))
% 0.46/0.62  [8]~E(x81,x82)+E(f8(x83,x84,x81,x85,x86),f8(x83,x84,x82,x85,x86))
% 0.46/0.62  [9]~E(x91,x92)+E(f8(x93,x94,x95,x91,x96),f8(x93,x94,x95,x92,x96))
% 0.46/0.62  [10]~E(x101,x102)+E(f8(x103,x104,x105,x106,x101),f8(x103,x104,x105,x106,x102))
% 0.46/0.62  [11]~E(x111,x112)+E(f10(x111),f10(x112))
% 0.46/0.62  [12]~E(x121,x122)+E(f6(x121,x123,x124,x125,x126),f6(x122,x123,x124,x125,x126))
% 0.46/0.62  [13]~E(x131,x132)+E(f6(x133,x131,x134,x135,x136),f6(x133,x132,x134,x135,x136))
% 0.46/0.62  [14]~E(x141,x142)+E(f6(x143,x144,x141,x145,x146),f6(x143,x144,x142,x145,x146))
% 0.46/0.62  [15]~E(x151,x152)+E(f6(x153,x154,x155,x151,x156),f6(x153,x154,x155,x152,x156))
% 0.46/0.62  [16]~E(x161,x162)+E(f6(x163,x164,x165,x166,x161),f6(x163,x164,x165,x166,x162))
% 0.46/0.62  [17]~E(x171,x172)+E(f7(x171,x173,x174,x175,x176),f7(x172,x173,x174,x175,x176))
% 0.46/0.62  [18]~E(x181,x182)+E(f7(x183,x181,x184,x185,x186),f7(x183,x182,x184,x185,x186))
% 0.46/0.62  [19]~E(x191,x192)+E(f7(x193,x194,x191,x195,x196),f7(x193,x194,x192,x195,x196))
% 0.46/0.62  [20]~E(x201,x202)+E(f7(x203,x204,x205,x201,x206),f7(x203,x204,x205,x202,x206))
% 0.46/0.62  [21]~E(x211,x212)+E(f7(x213,x214,x215,x216,x211),f7(x213,x214,x215,x216,x212))
% 0.46/0.62  [22]~E(x221,x222)+E(f11(x221,x223),f11(x222,x223))
% 0.46/0.62  [23]~E(x231,x232)+E(f11(x233,x231),f11(x233,x232))
% 0.46/0.62  [24]~E(x241,x242)+E(f12(x241,x243),f12(x242,x243))
% 0.46/0.62  [25]~E(x251,x252)+E(f12(x253,x251),f12(x253,x252))
% 0.46/0.62  [26]P1(x262,x263,x264)+~E(x261,x262)+~P1(x261,x263,x264)
% 0.46/0.62  [27]P1(x273,x272,x274)+~E(x271,x272)+~P1(x273,x271,x274)
% 0.46/0.62  [28]P1(x283,x284,x282)+~E(x281,x282)+~P1(x283,x284,x281)
% 0.46/0.62  [29]~P3(x291)+P3(x292)+~E(x291,x292)
% 0.46/0.62  [30]P2(x302,x303)+~E(x301,x302)+~P2(x301,x303)
% 0.46/0.62  [31]P2(x313,x312)+~E(x311,x312)+~P2(x313,x311)
% 0.46/0.62  
% 0.46/0.62  %-------------------------------------------
% 0.46/0.62  cnf(62,plain,
% 0.46/0.62     (~P2(a16,a13)),
% 0.46/0.62     inference(scs_inference,[],[38,42])).
% 0.46/0.62  cnf(64,plain,
% 0.46/0.62     (P3(a13)),
% 0.46/0.62     inference(scs_inference,[],[38,37,42,46])).
% 0.46/0.62  cnf(70,plain,
% 0.46/0.62     (P1(a13,f9(a13),f10(a13))),
% 0.46/0.62     inference(scs_inference,[],[38,37,42,46,47,44,45])).
% 0.46/0.62  cnf(74,plain,
% 0.46/0.62     (P1(a4,f10(a13),f5(a13))),
% 0.46/0.62     inference(scs_inference,[],[38,32,33,34,35,36,37,42,46,47,44,45,56,50])).
% 0.46/0.62  cnf(112,plain,
% 0.46/0.62     ($false),
% 0.46/0.62     inference(scs_inference,[],[62,74,35,37,70,36,64,34,32,33,50,57,43,2,40]),
% 0.46/0.62     ['proof']).
% 0.46/0.62  % SZS output end Proof
% 0.46/0.62  % Total time :0.010000s
%------------------------------------------------------------------------------