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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWB026+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 : n012.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 16:05:28 EDT 2024

% Result   : Theorem 86.69s 87.02s
% Output   : CNFRefutation 86.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWB026+2 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n012.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Jun 18 17:50:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.47/0.59  start to proof:theBenchmark
% 86.69/87.01  %-------------------------------------------
% 86.69/87.01  % File        :CSE---1.7
% 86.69/87.01  % Problem     :theBenchmark
% 86.69/87.01  % Transform   :cnf
% 86.69/87.01  % Format      :tptp:raw
% 86.69/87.01  % Command     :java -jar mcs_scs.jar %d %s
% 86.69/87.01  
% 86.69/87.01  % Result      :Theorem 86.060000s
% 86.69/87.01  % Output      :CNFRefutation 86.060000s
% 86.69/87.01  %-------------------------------------------
% 86.69/87.02  %------------------------------------------------------------------------------
% 86.69/87.02  % File     : SWB026+2 : TPTP v8.2.0. Released v5.2.0.
% 86.69/87.02  % Domain   : Semantic Web
% 86.69/87.02  % Problem  : Inferred Property Characteristics I
% 86.69/87.02  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 86.69/87.02  % English  :
% 86.69/87.02  
% 86.69/87.02  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 86.69/87.02  % Source   : [Sch11]
% 86.69/87.02  % Names    : 026_Inferred_Property_Characteristics_I [Sch11]
% 86.69/87.02  
% 86.69/87.02  % Status   : Theorem
% 86.69/87.02  % Rating   : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.17 v5.5.0, 0.11 v5.3.0, 0.19 v5.2.0
% 86.69/87.02  % Syntax   : Number of formulae    :    8 (   2 unt;   0 def)
% 86.69/87.02  %            Number of atoms       :   28 (   2 equ)
% 86.69/87.02  %            Maximal formula atoms :    8 (   3 avg)
% 86.69/87.02  %            Number of connectives :   20 (   0   ~;   0   |;  12   &)
% 86.69/87.02  %                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
% 86.69/87.02  %            Maximal formula depth :   12 (   6 avg)
% 86.69/87.02  %            Maximal term depth    :    1 (   1 avg)
% 86.69/87.02  %            Number of predicates  :    5 (   4 usr;   0 prp; 1-3 aty)
% 86.69/87.02  %            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
% 86.69/87.02  %            Number of variables   :   19 (  15   !;   4   ?)
% 86.69/87.02  % SPC      : FOF_THM_RFO_SEQ
% 86.69/87.02  
% 86.69/87.02  % Comments :
% 86.69/87.02  %------------------------------------------------------------------------------
% 86.69/87.02  fof(rdf_type_ip,axiom,
% 86.69/87.02      ! [P] :
% 86.69/87.02        ( iext(uri_rdf_type,P,uri_rdf_Property)
% 86.69/87.02      <=> ip(P) ) ).
% 86.69/87.02  
% 86.69/87.02  fof(rdfs_cext_def,axiom,
% 86.69/87.02      ! [X,C] :
% 86.69/87.02        ( iext(uri_rdf_type,X,C)
% 86.69/87.02      <=> icext(C,X) ) ).
% 86.69/87.02  
% 86.69/87.02  fof(rdfs_domain_main,axiom,
% 86.69/87.02      ! [P,C,X,Y] :
% 86.69/87.02        ( ( iext(uri_rdfs_domain,P,C)
% 86.69/87.02          & iext(P,X,Y) )
% 86.69/87.02       => icext(C,X) ) ).
% 86.69/87.02  
% 86.69/87.02  fof(rdfs_domain_domain,axiom,
% 86.69/87.02      iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) ).
% 86.69/87.02  
% 86.69/87.02  fof(owl_enum_class_001,axiom,
% 86.69/87.02      ! [Z,S1,A1] :
% 86.69/87.02        ( ( iext(uri_rdf_first,S1,A1)
% 86.69/87.02          & iext(uri_rdf_rest,S1,uri_rdf_nil) )
% 86.69/87.02       => ( iext(uri_owl_oneOf,Z,S1)
% 86.69/87.02        <=> ( ic(Z)
% 86.69/87.02            & ! [X] :
% 86.69/87.02                ( icext(Z,X)
% 86.69/87.02              <=> X = A1 ) ) ) ) ).
% 86.69/87.02  
% 86.69/87.02  fof(owl_char_inversefunctional,axiom,
% 86.69/87.02      ! [P] :
% 86.69/87.02        ( icext(uri_owl_InverseFunctionalProperty,P)
% 86.69/87.02      <=> ( ip(P)
% 86.69/87.02          & ! [X1,X2,Y] :
% 86.69/87.02              ( ( iext(P,X1,Y)
% 86.69/87.02                & iext(P,X2,Y) )
% 86.69/87.02             => X1 = X2 ) ) ) ).
% 86.69/87.02  
% 86.69/87.02  fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,conjecture,
% 86.69/87.02      iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ).
% 86.69/87.02  
% 86.69/87.02  fof(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
% 86.69/87.02      ? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
% 86.69/87.02        ( iext(uri_rdfs_domain,uri_ex_p,BNODE_x1)
% 86.69/87.02        & iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
% 86.69/87.02        & iext(uri_rdf_first,BNODE_l1,uri_ex_w)
% 86.69/87.02        & iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
% 86.69/87.02        & iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
% 86.69/87.02        & iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
% 86.69/87.02        & iext(uri_rdf_first,BNODE_l2,uri_ex_u)
% 86.69/87.02        & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ) ).
% 86.69/87.02  
% 86.69/87.02  %------------------------------------------------------------------------------
% 86.69/87.02  %-------------------------------------------
% 86.69/87.02  % Proof found
% 86.69/87.02  % SZS status Theorem for theBenchmark
% 86.69/87.02  % SZS output start Proof
% 86.69/87.02  %ClaNum:41(EqnAxiom:16)
% 86.69/87.02  %VarNum:96(SingletonVarNum:35)
% 86.69/87.02  %MaxLitNum:6
% 86.69/87.02  %MaxfuncDepth:1
% 86.69/87.02  %SharedTerms:26
% 86.69/87.02  %goalClause: 26
% 86.69/87.02  %singleGoalClaCount:1
% 86.69/87.02  [17]P1(a1,a1,a2)
% 86.69/87.02  [18]P1(a1,a3,a4)
% 86.69/87.02  [19]P1(a16,a9,a12)
% 86.69/87.02  [20]P1(a16,a11,a13)
% 86.69/87.02  [21]P1(a17,a9,a18)
% 86.69/87.02  [22]P1(a17,a11,a18)
% 86.69/87.02  [23]P1(a14,a4,a9)
% 86.69/87.02  [24]P1(a14,a10,a11)
% 86.69/87.02  [25]P1(a20,a3,a10)
% 86.69/87.02  [26]~P1(a19,a3,a15)
% 86.69/87.02  [27]P4(x271)+~P2(a15,x271)
% 86.69/87.02  [29]~P4(x291)+P1(a19,x291,a2)
% 86.69/87.02  [31]P4(x311)+~P1(a19,x311,a2)
% 86.69/87.02  [30]~P2(x302,x301)+P1(a19,x301,x302)
% 86.69/87.02  [34]P2(x341,x342)+~P1(a19,x342,x341)
% 86.69/87.02  [28]~P4(x281)+~E(f5(x281),f6(x281))+P2(a15,x281)
% 86.69/87.02  [32]~P4(x321)+P1(x321,f6(x321),f8(x321))+P2(a15,x321)
% 86.69/87.02  [33]~P4(x331)+P1(x331,f5(x331),f8(x331))+P2(a15,x331)
% 86.69/87.02  [35]P2(x351,x352)+~P1(x353,x352,x354)+~P1(a1,x353,x351)
% 86.69/87.02  [37]P3(x371)+~P1(a14,x371,x372)+~P1(a16,x372,x373)+~P1(a17,x372,a18)
% 86.69/87.02  [36]~P1(x363,x361,x364)+E(x361,x362)+~P1(x363,x362,x364)+~P2(a15,x363)
% 86.69/87.02  [38]P2(x381,x382)+~E(x382,x383)+~P1(a14,x381,x384)+~P1(a16,x384,x383)+~P1(a17,x384,a18)
% 86.69/87.02  [39]E(x391,x392)+~P2(x393,x391)+~P1(a14,x393,x394)+~P1(a16,x394,x392)+~P1(a17,x394,a18)
% 86.69/87.02  [40]~P3(x401)+P1(a14,x401,x402)+~P1(a16,x402,x403)+E(f7(x401,x402,x403),x403)+P2(x401,f7(x401,x402,x403))+~P1(a17,x402,a18)
% 86.69/87.02  [41]~P3(x411)+~P1(a16,x412,x413)+P1(a14,x411,x412)+~E(f7(x411,x412,x413),x413)+~P2(x411,f7(x411,x412,x413))+~P1(a17,x412,a18)
% 86.69/87.02  %EqnAxiom
% 86.69/87.02  [1]E(x11,x11)
% 86.69/87.02  [2]E(x22,x21)+~E(x21,x22)
% 86.69/87.03  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 86.69/87.03  [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 86.69/87.03  [5]~E(x51,x52)+E(f6(x51),f6(x52))
% 86.69/87.03  [6]~E(x61,x62)+E(f7(x61,x63,x64),f7(x62,x63,x64))
% 86.69/87.03  [7]~E(x71,x72)+E(f7(x73,x71,x74),f7(x73,x72,x74))
% 86.69/87.03  [8]~E(x81,x82)+E(f7(x83,x84,x81),f7(x83,x84,x82))
% 86.69/87.03  [9]~E(x91,x92)+E(f8(x91),f8(x92))
% 86.69/87.03  [10]P1(x102,x103,x104)+~E(x101,x102)+~P1(x101,x103,x104)
% 86.69/87.03  [11]P1(x113,x112,x114)+~E(x111,x112)+~P1(x113,x111,x114)
% 86.69/87.03  [12]P1(x123,x124,x122)+~E(x121,x122)+~P1(x123,x124,x121)
% 86.69/87.03  [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 86.69/87.03  [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 86.69/87.03  [15]~P3(x151)+P3(x152)+~E(x151,x152)
% 86.69/87.03  [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 86.69/87.03  
% 86.69/87.03  %-------------------------------------------
% 86.69/87.03  cnf(43,plain,
% 86.69/87.03     (~P2(a15,a3)),
% 86.69/87.03     inference(scs_inference,[],[26,30])).
% 86.69/87.03  cnf(45,plain,
% 86.69/87.03     (P2(a2,a1)),
% 86.69/87.03     inference(scs_inference,[],[26,17,30,35])).
% 86.69/87.03  cnf(70,plain,
% 86.69/87.03     (P2(a4,x701)+~P1(a3,x701,x702)),
% 86.69/87.03     inference(scs_inference,[],[18,35])).
% 86.69/87.03  cnf(76,plain,
% 86.69/87.03     (~P4(a3)+P1(a3,f6(a3),f8(a3))),
% 86.69/87.03     inference(scs_inference,[],[43,32])).
% 86.69/87.03  cnf(80,plain,
% 86.69/87.03     (~P4(a3)+P1(a3,f5(a3),f8(a3))),
% 86.69/87.03     inference(scs_inference,[],[43,45,18,32,35,14,33])).
% 86.69/87.03  cnf(1559,plain,
% 86.69/87.03     (~E(f5(a3),f6(a3))+P2(a15,a3)+~P1(a19,a3,a2)),
% 86.69/87.03     inference(scs_inference,[],[43,28,31])).
% 86.69/87.03  cnf(1561,plain,
% 86.69/87.03     (~E(f5(a3),f6(a3))+~P1(a19,a3,a2)),
% 86.69/87.03     inference(scs_inference,[],[43,1559])).
% 86.69/87.03  cnf(11742,plain,
% 86.69/87.03     (P1(a3,f6(a3),f8(a3))+~P1(a19,a3,a2)),
% 86.69/87.03     inference(scs_inference,[],[31,76])).
% 86.69/87.03  cnf(11758,plain,
% 86.69/87.03     (~P1(a19,a3,a2)+P2(a4,f6(a3))),
% 86.69/87.03     inference(scs_inference,[],[11742,70])).
% 86.69/87.03  cnf(11774,plain,
% 86.69/87.03     (~P2(a2,a3)+P2(a4,f6(a3))),
% 86.69/87.03     inference(scs_inference,[],[11758,30])).
% 86.69/87.03  cnf(11790,plain,
% 86.69/87.03     (P2(a4,f6(a3))),
% 86.69/87.03     inference(scs_inference,[],[17,18,11774,35])).
% 86.69/87.03  cnf(12050,plain,
% 86.69/87.03     (E(f6(a3),a12)),
% 86.69/87.03     inference(scs_inference,[],[19,11790,21,23,39])).
% 86.69/87.03  cnf(12300,plain,
% 86.69/87.03     (P4(a1)),
% 86.69/87.03     inference(scs_inference,[],[45,31,30])).
% 86.69/87.03  cnf(12316,plain,
% 86.69/87.03     (P1(a3,f5(a3),f8(a3))+~P1(a19,a3,a2)),
% 86.69/87.03     inference(scs_inference,[],[31,80])).
% 86.69/87.03  cnf(12332,plain,
% 86.69/87.03     (~P1(a19,a3,a2)+P2(a4,f5(a3))),
% 86.69/87.03     inference(scs_inference,[],[12316,70])).
% 86.69/87.03  cnf(12348,plain,
% 86.69/87.03     (~P2(a2,a3)+P2(a4,f5(a3))),
% 86.69/87.03     inference(scs_inference,[],[12332,30])).
% 86.69/87.03  cnf(12364,plain,
% 86.69/87.03     (P2(a4,f5(a3))),
% 86.69/87.03     inference(scs_inference,[],[17,18,12348,35])).
% 86.69/87.03  cnf(12381,plain,
% 86.69/87.03     (E(a12,f6(a3))),
% 86.69/87.03     inference(scs_inference,[],[12300,12050,12364,29,30,2])).
% 86.69/87.03  cnf(12385,plain,
% 86.69/87.03     (E(f5(a3),a12)),
% 86.69/87.03     inference(scs_inference,[],[12300,12050,12364,25,23,43,19,21,29,30,2,12,35,39])).
% 86.69/87.03  cnf(12404,plain,
% 86.69/87.03     (~P1(a19,a3,a2)),
% 86.69/87.03     inference(scs_inference,[],[12381,12385,11790,19,30,2,12,3,1561])).
% 86.69/87.03  cnf(14130,plain,
% 86.69/87.03     (~P2(a2,a3)),
% 86.69/87.03     inference(scs_inference,[],[12404,30])).
% 86.69/87.03  cnf(14140,plain,
% 86.69/87.03     ($false),
% 86.69/87.03     inference(scs_inference,[],[18,14130,17,35]),
% 86.69/87.03     ['proof']).
% 86.69/87.04  % SZS output end Proof
% 86.69/87.04  % Total time :86.060000s
%------------------------------------------------------------------------------