TSTP Solution File: SWB028+2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWB028+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n027.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 : Thu Aug 31 20:01:24 EDT 2023

% Result   : Theorem 120.73s 120.76s
% Output   : CNFRefutation 120.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB028+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n027.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   : Sun Aug 27 06:55:05 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.55  start to proof:theBenchmark
% 120.73/120.75  %-------------------------------------------
% 120.73/120.75  % File        :CSE---1.6
% 120.73/120.75  % Problem     :theBenchmark
% 120.73/120.75  % Transform   :cnf
% 120.73/120.75  % Format      :tptp:raw
% 120.73/120.75  % Command     :java -jar mcs_scs.jar %d %s
% 120.73/120.75  
% 120.73/120.75  % Result      :Theorem 120.140000s
% 120.73/120.75  % Output      :CNFRefutation 120.140000s
% 120.73/120.75  %-------------------------------------------
% 120.73/120.76  %------------------------------------------------------------------------------
% 120.73/120.76  % File     : SWB028+2 : TPTP v8.1.2. Released v5.2.0.
% 120.73/120.76  % Domain   : Semantic Web
% 120.73/120.76  % Problem  : Inferred Property Characteristics III
% 120.73/120.76  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 120.73/120.76  % English  :
% 120.73/120.76  
% 120.73/120.76  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 120.73/120.76  % Source   : [Sch11]
% 120.73/120.76  % Names    : 028_Inferred_Property_Characteristics_III [Sch11]
% 120.73/120.76  
% 120.73/120.76  % Status   : Theorem
% 120.73/120.76  % Rating   : 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
% 120.73/120.76  % Syntax   : Number of formulae    :   11 (   2 unt;   0 def)
% 120.73/120.76  %            Number of atoms       :   42 (   2 equ)
% 120.73/120.76  %            Maximal formula atoms :    5 (   3 avg)
% 120.73/120.76  %            Number of connectives :   31 (   0   ~;   0   |;  17   &)
% 120.73/120.76  %                                         (   8 <=>;   6  =>;   0  <=;   0 <~>)
% 120.73/120.76  %            Maximal formula depth :    9 (   6 avg)
% 120.73/120.76  %            Maximal term depth    :    1 (   1 avg)
% 120.73/120.76  %            Number of predicates  :    5 (   4 usr;   0 prp; 1-3 aty)
% 120.73/120.76  %            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
% 120.73/120.76  %            Number of variables   :   28 (  26   !;   2   ?)
% 120.73/120.76  % SPC      : FOF_THM_RFO_SEQ
% 120.73/120.76  
% 120.73/120.76  % Comments :
% 120.73/120.76  %------------------------------------------------------------------------------
% 120.73/120.76  fof(owl_class_inversefunctionalproperty_type,axiom,
% 120.73/120.76      ic(uri_owl_InverseFunctionalProperty) ).
% 120.73/120.76  
% 120.73/120.76  fof(owl_prop_inverseof_ext,axiom,
% 120.73/120.76      ! [X,Y] :
% 120.73/120.76        ( iext(uri_owl_inverseOf,X,Y)
% 120.73/120.76       => ( ip(X)
% 120.73/120.76          & ip(Y) ) ) ).
% 120.73/120.76  
% 120.73/120.76  fof(owl_prop_equivalentclass_ext,axiom,
% 120.73/120.76      ! [X,Y] :
% 120.73/120.76        ( iext(uri_owl_equivalentClass,X,Y)
% 120.73/120.76       => ( ic(X)
% 120.73/120.76          & ic(Y) ) ) ).
% 120.73/120.76  
% 120.73/120.76  fof(owl_char_functional,axiom,
% 120.73/120.76      ! [P] :
% 120.73/120.76        ( icext(uri_owl_FunctionalProperty,P)
% 120.73/120.76      <=> ( ip(P)
% 120.73/120.76          & ! [X,Y1,Y2] :
% 120.73/120.76              ( ( iext(P,X,Y1)
% 120.73/120.76                & iext(P,X,Y2) )
% 120.73/120.76             => Y1 = Y2 ) ) ) ).
% 120.73/120.76  
% 120.73/120.76  fof(owl_char_inversefunctional,axiom,
% 120.73/120.76      ! [P] :
% 120.73/120.76        ( icext(uri_owl_InverseFunctionalProperty,P)
% 120.73/120.76      <=> ( ip(P)
% 120.73/120.76          & ! [X1,X2,Y] :
% 120.73/120.76              ( ( iext(P,X1,Y)
% 120.73/120.76                & iext(P,X2,Y) )
% 120.73/120.76             => X1 = X2 ) ) ) ).
% 120.73/120.76  
% 120.73/120.76  fof(owl_rdfsext_subclassof,axiom,
% 120.73/120.76      ! [C1,C2] :
% 120.73/120.76        ( iext(uri_rdfs_subClassOf,C1,C2)
% 120.73/120.76      <=> ( ic(C1)
% 120.73/120.76          & ic(C2)
% 120.73/120.76          & ! [X] :
% 120.73/120.76              ( icext(C1,X)
% 120.73/120.76             => icext(C2,X) ) ) ) ).
% 120.73/120.76  
% 120.73/120.76  fof(owl_eqdis_equivalentclass,axiom,
% 120.73/120.76      ! [C1,C2] :
% 120.73/120.76        ( iext(uri_owl_equivalentClass,C1,C2)
% 120.73/120.76      <=> ( ic(C1)
% 120.73/120.76          & ic(C2)
% 120.73/120.76          & ! [X] :
% 120.73/120.76              ( icext(C1,X)
% 120.73/120.76            <=> icext(C2,X) ) ) ) ).
% 120.73/120.76  
% 120.73/120.76  fof(owl_restrict_somevaluesfrom,axiom,
% 120.73/120.76      ! [Z,P,C] :
% 120.73/120.76        ( ( iext(uri_owl_someValuesFrom,Z,C)
% 120.73/120.76          & iext(uri_owl_onProperty,Z,P) )
% 120.73/120.76       => ! [X] :
% 120.73/120.76            ( icext(Z,X)
% 120.73/120.76          <=> ? [Y] :
% 120.73/120.76                ( iext(P,X,Y)
% 120.73/120.76                & icext(C,Y) ) ) ) ).
% 120.73/120.76  
% 120.73/120.76  fof(owl_inv,axiom,
% 120.73/120.76      ! [P1,P2] :
% 120.73/120.76        ( iext(uri_owl_inverseOf,P1,P2)
% 120.73/120.76      <=> ( ip(P1)
% 120.73/120.76          & ip(P2)
% 120.73/120.76          & ! [X,Y] :
% 120.73/120.76              ( iext(P1,X,Y)
% 120.73/120.76            <=> iext(P2,Y,X) ) ) ) ).
% 120.73/120.76  
% 120.73/120.76  fof(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III,conjecture,
% 120.73/120.76      iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ).
% 120.73/120.76  
% 120.73/120.76  fof(testcase_premise_fullish_028_Inferred_Property_Characteristics_III,axiom,
% 120.73/120.76      ? [BNODE_z] :
% 120.73/120.76        ( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z)
% 120.73/120.76        & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
% 120.73/120.76        & iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf)
% 120.73/120.76        & iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty) ) ).
% 120.73/120.76  
% 120.73/120.76  %------------------------------------------------------------------------------
% 120.73/120.76  %-------------------------------------------
% 120.73/120.76  % Proof found
% 120.73/120.76  % SZS status Theorem for theBenchmark
% 120.73/120.76  % SZS output start Proof
% 120.73/120.76  %ClaNum:68(EqnAxiom:28)
% 120.73/120.76  %VarNum:198(SingletonVarNum:70)
% 120.73/120.76  %MaxLitNum:5
% 120.73/120.76  %MaxfuncDepth:1
% 120.73/120.76  %SharedTerms:17
% 120.73/120.76  %goalClause: 34
% 120.73/120.76  %singleGoalClaCount:1
% 120.73/120.76  [29]P1(a1)
% 120.73/120.76  [30]P2(a16,a2,a3)
% 120.73/120.76  [31]P2(a18,a3,a15)
% 120.73/120.76  [32]P2(a19,a3,a20)
% 120.73/120.76  [33]P2(a21,a3,a17)
% 120.73/120.76  [34]~P2(a22,a2,a1)
% 120.73/120.76  [35]P4(x351)+~P3(a1,x351)
% 120.73/120.76  [36]P4(x361)+~P3(a15,x361)
% 120.73/120.76  [44]P1(x441)+~P2(a16,x442,x441)
% 120.73/120.76  [46]P1(x461)+~P2(a16,x461,x462)
% 120.73/120.76  [47]P1(x471)+~P2(a22,x472,x471)
% 120.73/120.76  [48]P1(x481)+~P2(a22,x481,x482)
% 120.73/120.76  [50]P4(x501)+~P2(a20,x502,x501)
% 120.73/120.76  [52]P4(x521)+~P2(a20,x521,x522)
% 120.73/120.76  [37]~P4(x371)+~E(f6(x371),f7(x371))+P3(a1,x371)
% 120.73/120.76  [38]~P4(x381)+~E(f8(x381),f10(x381))+P3(a15,x381)
% 120.73/120.76  [39]~P4(x391)+P2(x391,f7(x391),f11(x391))+P3(a1,x391)
% 120.73/120.76  [40]~P4(x401)+P2(x401,f6(x401),f11(x401))+P3(a1,x401)
% 120.73/120.76  [41]~P4(x411)+P2(x411,f9(x411),f8(x411))+P3(a15,x411)
% 120.73/120.76  [42]~P4(x421)+P2(x421,f9(x421),f10(x421))+P3(a15,x421)
% 120.73/120.76  [54]P3(x541,x542)+~P3(x543,x542)+~P2(a16,x541,x543)
% 120.73/120.76  [55]P3(x551,x552)+~P3(x553,x552)+~P2(a16,x553,x551)
% 120.73/120.76  [56]P3(x561,x562)+~P3(x563,x562)+~P2(a22,x563,x561)
% 120.73/120.76  [62]P2(x621,x622,x623)+~P2(x624,x623,x622)+~P2(a20,x621,x624)
% 120.73/120.76  [63]P2(x631,x632,x633)+~P2(x634,x633,x632)+~P2(a20,x634,x631)
% 120.73/120.77  [53]~P1(x532)+~P1(x531)+P2(a22,x531,x532)+P3(x531,f12(x531,x532))
% 120.73/120.77  [57]~P1(x571)+~P1(x572)+P2(a22,x571,x572)+~P3(x572,f12(x571,x572))
% 120.73/120.77  [60]~P2(x603,x604,x601)+E(x601,x602)+~P2(x603,x604,x602)+~P3(a15,x603)
% 120.73/120.77  [61]~P2(x613,x611,x614)+E(x611,x612)+~P2(x613,x612,x614)+~P3(a1,x613)
% 120.73/120.77  [67]~P3(x672,x674)+~P2(a18,x672,x671)+~P2(a19,x672,x673)+P3(x671,f14(x672,x673,x671,x674))
% 120.73/120.77  [68]~P3(x683,x682)+~P2(a18,x683,x684)+~P2(a19,x683,x681)+P2(x681,x682,f14(x683,x681,x684,x682))
% 120.73/120.77  [58]~P1(x582)+~P1(x581)+P2(a16,x581,x582)+P3(x582,f13(x581,x582))+P3(x581,f13(x581,x582))
% 120.73/120.77  [59]~P1(x592)+~P1(x591)+P2(a16,x591,x592)+~P3(x592,f13(x591,x592))+~P3(x591,f13(x591,x592))
% 120.73/120.77  [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)
% 120.73/120.77  [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)
% 120.73/120.77  [65]P3(x651,x652)+~P2(x655,x652,x654)+~P3(x653,x654)+~P2(a18,x651,x653)+~P2(a19,x651,x655)
% 120.73/120.77  %EqnAxiom
% 120.73/120.77  [1]E(x11,x11)
% 120.73/120.77  [2]E(x22,x21)+~E(x21,x22)
% 120.73/120.77  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 120.73/120.77  [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 120.73/120.77  [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 120.73/120.77  [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 120.73/120.77  [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 120.73/120.77  [8]~E(x81,x82)+E(f14(x81,x83,x84,x85),f14(x82,x83,x84,x85))
% 120.73/120.77  [9]~E(x91,x92)+E(f14(x93,x91,x94,x95),f14(x93,x92,x94,x95))
% 120.73/120.77  [10]~E(x101,x102)+E(f14(x103,x104,x101,x105),f14(x103,x104,x102,x105))
% 120.73/120.77  [11]~E(x111,x112)+E(f14(x113,x114,x115,x111),f14(x113,x114,x115,x112))
% 120.73/120.77  [12]~E(x121,x122)+E(f11(x121),f11(x122))
% 120.73/120.77  [13]~E(x131,x132)+E(f5(x131,x133),f5(x132,x133))
% 120.73/120.77  [14]~E(x141,x142)+E(f5(x143,x141),f5(x143,x142))
% 120.73/120.77  [15]~E(x151,x152)+E(f4(x151,x153),f4(x152,x153))
% 120.73/120.77  [16]~E(x161,x162)+E(f4(x163,x161),f4(x163,x162))
% 120.73/120.77  [17]~E(x171,x172)+E(f9(x171),f9(x172))
% 120.73/120.77  [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 120.73/120.77  [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 120.73/120.77  [20]~E(x201,x202)+E(f12(x201,x203),f12(x202,x203))
% 120.73/120.77  [21]~E(x211,x212)+E(f12(x213,x211),f12(x213,x212))
% 120.73/120.77  [22]~P1(x221)+P1(x222)+~E(x221,x222)
% 120.73/120.77  [23]P2(x232,x233,x234)+~E(x231,x232)+~P2(x231,x233,x234)
% 120.73/120.77  [24]P2(x243,x242,x244)+~E(x241,x242)+~P2(x243,x241,x244)
% 120.73/120.77  [25]P2(x253,x254,x252)+~E(x251,x252)+~P2(x253,x254,x251)
% 120.73/120.77  [26]P3(x262,x263)+~E(x261,x262)+~P3(x261,x263)
% 120.73/120.77  [27]P3(x273,x272)+~E(x271,x272)+~P3(x273,x271)
% 120.73/120.77  [28]~P4(x281)+P4(x282)+~E(x281,x282)
% 120.73/120.77  
% 120.73/120.77  %-------------------------------------------
% 120.73/120.77  cnf(69,plain,
% 120.73/120.77     (P1(a2)),
% 120.73/120.77     inference(scs_inference,[],[30,46])).
% 120.73/120.77  cnf(70,plain,
% 120.73/120.77     (P1(a3)),
% 120.73/120.77     inference(scs_inference,[],[30,46,44])).
% 120.73/120.77  cnf(116,plain,
% 120.73/120.77     (~P3(a1,f12(a2,a1))),
% 120.73/120.77     inference(scs_inference,[],[29,69,34,22,57])).
% 120.73/120.77  cnf(118,plain,
% 120.73/120.77     (P3(a2,f12(a2,a1))),
% 120.73/120.77     inference(scs_inference,[],[29,69,34,22,57,53])).
% 120.73/120.77  cnf(140,plain,
% 120.73/120.77     (P3(a3,f12(a2,a1))),
% 120.73/120.77     inference(scs_inference,[],[30,116,118,26,55])).
% 120.73/120.77  cnf(148,plain,
% 120.73/120.77     (~P2(a22,a3,a1)),
% 120.73/120.77     inference(scs_inference,[],[31,32,30,116,118,26,55,67,36,28,2,56])).
% 120.73/120.77  cnf(166,plain,
% 120.73/120.77     (~E(a3,a1)),
% 120.73/120.77     inference(scs_inference,[],[140,116,26])).
% 120.73/120.77  cnf(194,plain,
% 120.73/120.77     (~P3(a1,f12(a3,a1))),
% 120.73/120.77     inference(scs_inference,[],[31,70,32,148,140,29,68,57])).
% 120.73/120.77  cnf(197,plain,
% 120.73/120.77     (P3(a3,f12(a3,a1))),
% 120.73/120.77     inference(scs_inference,[],[31,70,32,148,140,29,68,57,24,53])).
% 120.73/120.77  cnf(215,plain,
% 120.73/120.77     (P2(a20,f12(a3,a1),f14(a3,a20,a15,f12(a3,a1)))),
% 120.73/120.77     inference(scs_inference,[],[31,32,197,166,30,54,2,68])).
% 120.73/120.77  cnf(249,plain,
% 120.73/120.77     (P3(a15,f14(a3,a20,a15,f12(a3,a1)))),
% 120.73/120.77     inference(scs_inference,[],[32,197,31,67])).
% 120.73/120.77  cnf(267,plain,
% 120.73/120.77     (P4(f12(a3,a1))),
% 120.73/120.77     inference(scs_inference,[],[215,52])).
% 120.73/120.77  cnf(269,plain,
% 120.73/120.77     (P2(f14(a3,a20,a15,f12(a3,a1)),x2691,x2692)+~P2(f12(a3,a1),x2692,x2691)),
% 120.73/120.77     inference(scs_inference,[],[215,52,63])).
% 120.73/120.77  cnf(1561,plain,
% 120.73/120.77     (P2(f12(a3,a1),f7(f12(a3,a1)),f11(f12(a3,a1)))),
% 120.73/120.77     inference(scs_inference,[],[194,215,39,52])).
% 120.73/120.77  cnf(1562,plain,
% 120.73/120.77     (P2(f12(a3,a1),f6(f12(a3,a1)),f11(f12(a3,a1)))),
% 120.73/120.77     inference(scs_inference,[],[194,215,40,52])).
% 120.73/120.77  cnf(2176,plain,
% 120.73/120.77     (~E(f7(f12(a3,a1)),f6(f12(a3,a1)))),
% 120.73/120.77     inference(scs_inference,[],[267,194,2,37])).
% 120.73/120.77  cnf(3694,plain,
% 120.73/120.77     (P2(f14(a3,a20,a15,f12(a3,a1)),f11(f12(a3,a1)),f7(f12(a3,a1)))),
% 120.73/120.77     inference(scs_inference,[],[1561,2176,215,2,63])).
% 120.73/120.77  cnf(3696,plain,
% 120.73/120.77     (P2(f14(a3,a20,a15,f12(a3,a1)),f11(f12(a3,a1)),f6(f12(a3,a1)))),
% 120.73/120.77     inference(scs_inference,[],[1561,1562,2176,215,2,63,269])).
% 120.73/120.77  cnf(3703,plain,
% 120.73/120.77     ($false),
% 120.73/120.77     inference(scs_inference,[],[3694,3696,2176,249,60]),
% 120.73/120.77     ['proof']).
% 120.73/120.77  % SZS output end Proof
% 120.73/120.77  % Total time :120.140000s
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