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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWB028+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 16:05:30 EDT 2024

% Result   : Theorem 116.26s 116.39s
% Output   : CNFRefutation 116.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWB028+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 17:41:09 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.54/0.59  start to proof:theBenchmark
% 116.26/116.37  %-------------------------------------------
% 116.26/116.37  % File        :CSE---1.7
% 116.26/116.37  % Problem     :theBenchmark
% 116.26/116.37  % Transform   :cnf
% 116.26/116.37  % Format      :tptp:raw
% 116.26/116.37  % Command     :java -jar mcs_scs.jar %d %s
% 116.26/116.37  
% 116.26/116.37  % Result      :Theorem 115.620000s
% 116.26/116.37  % Output      :CNFRefutation 115.620000s
% 116.26/116.37  %-------------------------------------------
% 116.26/116.38  %------------------------------------------------------------------------------
% 116.26/116.38  % File     : SWB028+2 : TPTP v8.2.0. Released v5.2.0.
% 116.26/116.38  % Domain   : Semantic Web
% 116.26/116.38  % Problem  : Inferred Property Characteristics III
% 116.26/116.38  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 116.26/116.38  % English  :
% 116.26/116.38  
% 116.26/116.38  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 116.26/116.38  % Source   : [Sch11]
% 116.26/116.38  % Names    : 028_Inferred_Property_Characteristics_III [Sch11]
% 116.26/116.38  
% 116.26/116.38  % Status   : Theorem
% 116.26/116.38  % Rating   : 0.22 v8.2.0, 0.19 v8.1.0, 0.22 v7.4.0, 0.17 v7.3.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.17 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0
% 116.26/116.38  % Syntax   : Number of formulae    :   11 (   2 unt;   0 def)
% 116.26/116.38  %            Number of atoms       :   42 (   2 equ)
% 116.26/116.38  %            Maximal formula atoms :    5 (   3 avg)
% 116.26/116.38  %            Number of connectives :   31 (   0   ~;   0   |;  17   &)
% 116.26/116.38  %                                         (   8 <=>;   6  =>;   0  <=;   0 <~>)
% 116.26/116.38  %            Maximal formula depth :    9 (   6 avg)
% 116.26/116.38  %            Maximal term depth    :    1 (   1 avg)
% 116.26/116.38  %            Number of predicates  :    5 (   4 usr;   0 prp; 1-3 aty)
% 116.26/116.38  %            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
% 116.26/116.38  %            Number of variables   :   28 (  26   !;   2   ?)
% 116.26/116.38  % SPC      : FOF_THM_RFO_SEQ
% 116.26/116.38  
% 116.26/116.38  % Comments :
% 116.26/116.38  %------------------------------------------------------------------------------
% 116.26/116.38  fof(owl_class_inversefunctionalproperty_type,axiom,
% 116.26/116.38      ic(uri_owl_InverseFunctionalProperty) ).
% 116.26/116.38  
% 116.26/116.38  fof(owl_prop_inverseof_ext,axiom,
% 116.26/116.38      ! [X,Y] :
% 116.26/116.38        ( iext(uri_owl_inverseOf,X,Y)
% 116.26/116.38       => ( ip(X)
% 116.26/116.38          & ip(Y) ) ) ).
% 116.26/116.38  
% 116.26/116.38  fof(owl_prop_equivalentclass_ext,axiom,
% 116.26/116.38      ! [X,Y] :
% 116.26/116.38        ( iext(uri_owl_equivalentClass,X,Y)
% 116.26/116.38       => ( ic(X)
% 116.26/116.38          & ic(Y) ) ) ).
% 116.26/116.38  
% 116.26/116.38  fof(owl_char_functional,axiom,
% 116.26/116.38      ! [P] :
% 116.26/116.38        ( icext(uri_owl_FunctionalProperty,P)
% 116.26/116.38      <=> ( ip(P)
% 116.26/116.38          & ! [X,Y1,Y2] :
% 116.26/116.38              ( ( iext(P,X,Y1)
% 116.26/116.38                & iext(P,X,Y2) )
% 116.26/116.38             => Y1 = Y2 ) ) ) ).
% 116.26/116.38  
% 116.26/116.38  fof(owl_char_inversefunctional,axiom,
% 116.26/116.38      ! [P] :
% 116.26/116.38        ( icext(uri_owl_InverseFunctionalProperty,P)
% 116.26/116.38      <=> ( ip(P)
% 116.26/116.38          & ! [X1,X2,Y] :
% 116.26/116.38              ( ( iext(P,X1,Y)
% 116.26/116.38                & iext(P,X2,Y) )
% 116.26/116.38             => X1 = X2 ) ) ) ).
% 116.26/116.38  
% 116.26/116.38  fof(owl_rdfsext_subclassof,axiom,
% 116.26/116.38      ! [C1,C2] :
% 116.26/116.38        ( iext(uri_rdfs_subClassOf,C1,C2)
% 116.26/116.38      <=> ( ic(C1)
% 116.26/116.38          & ic(C2)
% 116.26/116.38          & ! [X] :
% 116.26/116.38              ( icext(C1,X)
% 116.26/116.38             => icext(C2,X) ) ) ) ).
% 116.26/116.38  
% 116.26/116.38  fof(owl_eqdis_equivalentclass,axiom,
% 116.26/116.38      ! [C1,C2] :
% 116.26/116.38        ( iext(uri_owl_equivalentClass,C1,C2)
% 116.26/116.38      <=> ( ic(C1)
% 116.26/116.38          & ic(C2)
% 116.26/116.38          & ! [X] :
% 116.26/116.38              ( icext(C1,X)
% 116.26/116.38            <=> icext(C2,X) ) ) ) ).
% 116.26/116.38  
% 116.26/116.38  fof(owl_restrict_somevaluesfrom,axiom,
% 116.26/116.38      ! [Z,P,C] :
% 116.26/116.38        ( ( iext(uri_owl_someValuesFrom,Z,C)
% 116.26/116.39          & iext(uri_owl_onProperty,Z,P) )
% 116.26/116.39       => ! [X] :
% 116.26/116.39            ( icext(Z,X)
% 116.26/116.39          <=> ? [Y] :
% 116.26/116.39                ( iext(P,X,Y)
% 116.26/116.39                & icext(C,Y) ) ) ) ).
% 116.26/116.39  
% 116.26/116.39  fof(owl_inv,axiom,
% 116.26/116.39      ! [P1,P2] :
% 116.26/116.39        ( iext(uri_owl_inverseOf,P1,P2)
% 116.26/116.39      <=> ( ip(P1)
% 116.26/116.39          & ip(P2)
% 116.26/116.39          & ! [X,Y] :
% 116.26/116.39              ( iext(P1,X,Y)
% 116.26/116.39            <=> iext(P2,Y,X) ) ) ) ).
% 116.26/116.39  
% 116.26/116.39  fof(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III,conjecture,
% 116.26/116.39      iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ).
% 116.26/116.39  
% 116.26/116.39  fof(testcase_premise_fullish_028_Inferred_Property_Characteristics_III,axiom,
% 116.26/116.39      ? [BNODE_z] :
% 116.26/116.39        ( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z)
% 116.26/116.39        & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
% 116.26/116.39        & iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf)
% 116.26/116.39        & iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty) ) ).
% 116.26/116.39  
% 116.26/116.39  %------------------------------------------------------------------------------
% 116.26/116.39  %-------------------------------------------
% 116.26/116.39  % Proof found
% 116.26/116.39  % SZS status Theorem for theBenchmark
% 116.26/116.39  % SZS output start Proof
% 116.26/116.39  %ClaNum:68(EqnAxiom:28)
% 116.26/116.39  %VarNum:198(SingletonVarNum:70)
% 116.26/116.39  %MaxLitNum:5
% 116.26/116.39  %MaxfuncDepth:1
% 116.26/116.39  %SharedTerms:17
% 116.26/116.39  %goalClause: 34
% 116.26/116.39  %singleGoalClaCount:1
% 116.26/116.39  [29]P1(a1)
% 116.26/116.39  [30]P2(a16,a2,a3)
% 116.26/116.39  [31]P2(a18,a3,a15)
% 116.26/116.39  [32]P2(a19,a3,a20)
% 116.26/116.39  [33]P2(a21,a3,a17)
% 116.26/116.39  [34]~P2(a22,a2,a1)
% 116.26/116.39  [35]P4(x351)+~P3(a1,x351)
% 116.26/116.39  [36]P4(x361)+~P3(a15,x361)
% 116.26/116.39  [44]P1(x441)+~P2(a16,x442,x441)
% 116.26/116.39  [46]P1(x461)+~P2(a16,x461,x462)
% 116.26/116.39  [47]P1(x471)+~P2(a22,x472,x471)
% 116.26/116.39  [48]P1(x481)+~P2(a22,x481,x482)
% 116.26/116.39  [50]P4(x501)+~P2(a20,x502,x501)
% 116.26/116.39  [52]P4(x521)+~P2(a20,x521,x522)
% 116.26/116.39  [37]~P4(x371)+~E(f6(x371),f7(x371))+P3(a1,x371)
% 116.26/116.39  [38]~P4(x381)+~E(f8(x381),f10(x381))+P3(a15,x381)
% 116.26/116.39  [39]~P4(x391)+P2(x391,f7(x391),f11(x391))+P3(a1,x391)
% 116.26/116.39  [40]~P4(x401)+P2(x401,f6(x401),f11(x401))+P3(a1,x401)
% 116.26/116.39  [41]~P4(x411)+P2(x411,f9(x411),f8(x411))+P3(a15,x411)
% 116.26/116.39  [42]~P4(x421)+P2(x421,f9(x421),f10(x421))+P3(a15,x421)
% 116.26/116.39  [54]P3(x541,x542)+~P3(x543,x542)+~P2(a16,x541,x543)
% 116.26/116.39  [55]P3(x551,x552)+~P3(x553,x552)+~P2(a16,x553,x551)
% 116.26/116.39  [56]P3(x561,x562)+~P3(x563,x562)+~P2(a22,x563,x561)
% 116.26/116.39  [62]P2(x621,x622,x623)+~P2(x624,x623,x622)+~P2(a20,x621,x624)
% 116.26/116.39  [63]P2(x631,x632,x633)+~P2(x634,x633,x632)+~P2(a20,x634,x631)
% 116.26/116.39  [53]~P1(x532)+~P1(x531)+P2(a22,x531,x532)+P3(x531,f12(x531,x532))
% 116.26/116.39  [57]~P1(x571)+~P1(x572)+P2(a22,x571,x572)+~P3(x572,f12(x571,x572))
% 116.26/116.39  [60]~P2(x603,x604,x601)+E(x601,x602)+~P2(x603,x604,x602)+~P3(a15,x603)
% 116.26/116.39  [61]~P2(x613,x611,x614)+E(x611,x612)+~P2(x613,x612,x614)+~P3(a1,x613)
% 116.26/116.39  [67]~P3(x672,x674)+~P2(a18,x672,x671)+~P2(a19,x672,x673)+P3(x671,f14(x672,x673,x671,x674))
% 116.26/116.39  [68]~P3(x683,x682)+~P2(a18,x683,x684)+~P2(a19,x683,x681)+P2(x681,x682,f14(x683,x681,x684,x682))
% 116.26/116.39  [58]~P1(x582)+~P1(x581)+P2(a16,x581,x582)+P3(x582,f13(x581,x582))+P3(x581,f13(x581,x582))
% 116.26/116.39  [59]~P1(x592)+~P1(x591)+P2(a16,x591,x592)+~P3(x592,f13(x591,x592))+~P3(x591,f13(x591,x592))
% 116.26/116.39  [64]~P4(x642)+~P4(x641)+P2(x642,f4(x641,x642),f5(x641,x642))+P2(x641,f5(x641,x642),f4(x641,x642))+P2(a20,x641,x642)
% 116.26/116.39  [66]~P4(x662)+~P4(x661)+~P2(x662,f4(x661,x662),f5(x661,x662))+~P2(x661,f5(x661,x662),f4(x661,x662))+P2(a20,x661,x662)
% 116.26/116.39  [65]P3(x651,x652)+~P2(x655,x652,x654)+~P3(x653,x654)+~P2(a18,x651,x653)+~P2(a19,x651,x655)
% 116.26/116.39  %EqnAxiom
% 116.26/116.39  [1]E(x11,x11)
% 116.26/116.39  [2]E(x22,x21)+~E(x21,x22)
% 116.26/116.39  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 116.26/116.39  [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 116.26/116.39  [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 116.26/116.39  [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 116.26/116.39  [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 116.26/116.39  [8]~E(x81,x82)+E(f14(x81,x83,x84,x85),f14(x82,x83,x84,x85))
% 116.26/116.39  [9]~E(x91,x92)+E(f14(x93,x91,x94,x95),f14(x93,x92,x94,x95))
% 116.26/116.39  [10]~E(x101,x102)+E(f14(x103,x104,x101,x105),f14(x103,x104,x102,x105))
% 116.26/116.39  [11]~E(x111,x112)+E(f14(x113,x114,x115,x111),f14(x113,x114,x115,x112))
% 116.26/116.39  [12]~E(x121,x122)+E(f11(x121),f11(x122))
% 116.26/116.39  [13]~E(x131,x132)+E(f5(x131,x133),f5(x132,x133))
% 116.26/116.39  [14]~E(x141,x142)+E(f5(x143,x141),f5(x143,x142))
% 116.26/116.39  [15]~E(x151,x152)+E(f4(x151,x153),f4(x152,x153))
% 116.26/116.39  [16]~E(x161,x162)+E(f4(x163,x161),f4(x163,x162))
% 116.26/116.39  [17]~E(x171,x172)+E(f9(x171),f9(x172))
% 116.26/116.39  [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 116.26/116.39  [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 116.26/116.39  [20]~E(x201,x202)+E(f12(x201,x203),f12(x202,x203))
% 116.26/116.39  [21]~E(x211,x212)+E(f12(x213,x211),f12(x213,x212))
% 116.26/116.39  [22]~P1(x221)+P1(x222)+~E(x221,x222)
% 116.26/116.39  [23]P2(x232,x233,x234)+~E(x231,x232)+~P2(x231,x233,x234)
% 116.26/116.39  [24]P2(x243,x242,x244)+~E(x241,x242)+~P2(x243,x241,x244)
% 116.26/116.39  [25]P2(x253,x254,x252)+~E(x251,x252)+~P2(x253,x254,x251)
% 116.26/116.39  [26]P3(x262,x263)+~E(x261,x262)+~P3(x261,x263)
% 116.26/116.39  [27]P3(x273,x272)+~E(x271,x272)+~P3(x273,x271)
% 116.26/116.39  [28]~P4(x281)+P4(x282)+~E(x281,x282)
% 116.26/116.39  
% 116.26/116.39  %-------------------------------------------
% 116.26/116.40  cnf(71,plain,
% 116.26/116.40     (P1(a2)),
% 116.26/116.40     inference(scs_inference,[],[30,44,46])).
% 116.26/116.40  cnf(79,plain,
% 116.26/116.40     (P3(a2,x791)+~P3(a3,x791)),
% 116.26/116.40     inference(scs_inference,[],[31,30,25,54])).
% 116.26/116.40  cnf(93,plain,
% 116.26/116.40     (P3(a3,x931)+~P3(a2,x931)),
% 116.26/116.40     inference(scs_inference,[],[30,32,25,55])).
% 116.26/116.40  cnf(329,plain,
% 116.26/116.40     (P3(a3,f12(a2,a1))),
% 116.26/116.40     inference(scs_inference,[],[34,29,71,93,53])).
% 116.26/116.40  cnf(331,plain,
% 116.26/116.40     (P3(a2,f12(a2,a1))),
% 116.26/116.40     inference(scs_inference,[],[329,79])).
% 116.26/116.40  cnf(3679,plain,
% 116.26/116.40     (~E(a2,x36791)+P1(x36791)),
% 116.26/116.40     inference(scs_inference,[],[71,22])).
% 116.26/116.40  cnf(3904,plain,
% 116.26/116.40     (~P3(a1,f12(a2,a1))),
% 116.26/116.40     inference(scs_inference,[],[34,29,3679,57])).
% 116.26/116.40  cnf(6256,plain,
% 116.26/116.40     (~P2(a20,f12(a2,a1),x62561)+~E(f6(f12(a2,a1)),f7(f12(a2,a1)))),
% 116.26/116.40     inference(scs_inference,[],[3904,52,37])).
% 116.26/116.40  cnf(6321,plain,
% 116.26/116.40     (P2(f12(a2,a1),f7(f12(a2,a1)),f11(f12(a2,a1)))+~P2(a20,f12(a2,a1),x63211)),
% 116.26/116.40     inference(scs_inference,[],[3904,52,39])).
% 116.26/116.40  cnf(6352,plain,
% 116.26/116.40     (P2(f12(a2,a1),f6(f12(a2,a1)),f11(f12(a2,a1)))+~P2(a20,f12(a2,a1),x63521)),
% 116.26/116.40     inference(scs_inference,[],[3904,52,40])).
% 116.26/116.40  cnf(6894,plain,
% 116.26/116.40     (P2(a20,f12(a2,a1),f14(a3,a20,a15,f12(a2,a1)))),
% 116.26/116.40     inference(scs_inference,[],[331,31,32,93,68])).
% 116.26/116.40  cnf(6895,plain,
% 116.26/116.40     (~E(f6(f12(a2,a1)),f7(f12(a2,a1)))),
% 116.26/116.40     inference(scs_inference,[],[6894,6256])).
% 116.26/116.40  cnf(6896,plain,
% 116.26/116.40     (P2(f12(a2,a1),f7(f12(a2,a1)),f11(f12(a2,a1)))),
% 116.26/116.40     inference(scs_inference,[],[6894,6321])).
% 116.26/116.40  cnf(6897,plain,
% 116.26/116.40     (P2(f12(a2,a1),f6(f12(a2,a1)),f11(f12(a2,a1)))),
% 116.26/116.40     inference(scs_inference,[],[6894,6352])).
% 116.26/116.40  cnf(6903,plain,
% 116.26/116.40     (P2(f14(a3,a20,a15,f12(a2,a1)),x69031,x69032)+~P2(f12(a2,a1),x69032,x69031)),
% 116.26/116.40     inference(scs_inference,[],[6894,63])).
% 116.26/116.40  cnf(6937,plain,
% 116.26/116.40     (P3(a15,f14(a3,a20,a15,f12(a2,a1)))),
% 116.26/116.40     inference(scs_inference,[],[331,31,32,93,67])).
% 116.26/116.40  cnf(12492,plain,
% 116.26/116.40     (~P2(f14(a3,a20,a15,f12(a2,a1)),f11(f12(a2,a1)),f6(f12(a2,a1)))),
% 116.26/116.40     inference(scs_inference,[],[6895,6896,6937,6903,2,60])).
% 116.26/116.40  cnf(12507,plain,
% 116.26/116.40     ($false),
% 116.26/116.40     inference(scs_inference,[],[12492,6897,6903]),
% 116.26/116.40     ['proof']).
% 116.26/116.40  % SZS output end Proof
% 116.26/116.40  % Total time :115.620000s
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