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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWB023+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 : n009.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 16:05:26 EDT 2024

% Result   : Theorem 3.83s 3.92s
% Output   : CNFRefutation 3.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB023+2 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n009.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   : Tue Jun 18 17:45:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 3.83/3.91  %-------------------------------------------
% 3.83/3.91  % File        :CSE---1.7
% 3.83/3.91  % Problem     :theBenchmark
% 3.83/3.91  % Transform   :cnf
% 3.83/3.91  % Format      :tptp:raw
% 3.83/3.91  % Command     :java -jar mcs_scs.jar %d %s
% 3.83/3.91  
% 3.83/3.91  % Result      :Theorem 3.310000s
% 3.83/3.91  % Output      :CNFRefutation 3.310000s
% 3.83/3.91  %-------------------------------------------
% 3.83/3.91  %------------------------------------------------------------------------------
% 3.83/3.91  % File     : SWB023+2 : TPTP v8.2.0. Released v5.2.0.
% 3.83/3.91  % Domain   : Semantic Web
% 3.83/3.91  % Problem  : Unique List Components
% 3.83/3.91  % Version  : [Sch11] axioms : Reduced > Incomplete.
% 3.83/3.91  % English  :
% 3.83/3.91  
% 3.83/3.91  % Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 3.83/3.91  % Source   : [Sch11]
% 3.83/3.91  % Names    : 023_Unique_List_Components [Sch11]
% 3.83/3.91  
% 3.83/3.91  % Status   : Theorem
% 3.83/3.91  % Rating   : 0.08 v8.1.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0
% 3.83/3.91  % Syntax   : Number of formulae    :    6 (   0 unt;   0 def)
% 3.83/3.91  %            Number of atoms       :   24 (   3 equ)
% 3.83/3.91  %            Maximal formula atoms :    7 (   4 avg)
% 3.83/3.91  %            Number of connectives :   18 (   0   ~;   0   |;  11   &)
% 3.83/3.91  %                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
% 3.83/3.91  %            Maximal formula depth :    9 (   6 avg)
% 3.83/3.91  %            Maximal term depth    :    1 (   1 avg)
% 3.83/3.91  %            Number of predicates  :    5 (   4 usr;   0 prp; 1-3 aty)
% 3.83/3.91  %            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
% 3.83/3.91  %            Number of variables   :   14 (  12   !;   2   ?)
% 3.83/3.91  % SPC      : FOF_THM_RFO_SEQ
% 3.83/3.91  
% 3.83/3.91  % Comments :
% 3.83/3.91  %------------------------------------------------------------------------------
% 3.83/3.91  fof(rdfs_cext_def,axiom,
% 3.83/3.91      ! [X,C] :
% 3.83/3.91        ( iext(uri_rdf_type,X,C)
% 3.83/3.91      <=> icext(C,X) ) ).
% 3.83/3.91  
% 3.83/3.91  fof(owl_enum_class_001,axiom,
% 3.83/3.92      ! [Z,S1,A1] :
% 3.83/3.92        ( ( iext(uri_rdf_first,S1,A1)
% 3.83/3.92          & iext(uri_rdf_rest,S1,uri_rdf_nil) )
% 3.83/3.92       => ( iext(uri_owl_oneOf,Z,S1)
% 3.83/3.92        <=> ( ic(Z)
% 3.83/3.92            & ! [X] :
% 3.83/3.92                ( icext(Z,X)
% 3.83/3.92              <=> X = A1 ) ) ) ) ).
% 3.83/3.92  
% 3.83/3.92  fof(owl_char_functional,axiom,
% 3.83/3.92      ! [P] :
% 3.83/3.92        ( icext(uri_owl_FunctionalProperty,P)
% 3.83/3.92      <=> ( ip(P)
% 3.83/3.92          & ! [X,Y1,Y2] :
% 3.83/3.92              ( ( iext(P,X,Y1)
% 3.83/3.92                & iext(P,X,Y2) )
% 3.83/3.92             => Y1 = Y2 ) ) ) ).
% 3.83/3.92  
% 3.83/3.92  fof(owl_eqdis_sameas,axiom,
% 3.83/3.92      ! [X,Y] :
% 3.83/3.92        ( iext(uri_owl_sameAs,X,Y)
% 3.83/3.92      <=> X = Y ) ).
% 3.83/3.92  
% 3.83/3.92  fof(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,
% 3.83/3.92      ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
% 3.83/3.92      & iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ) ).
% 3.83/3.92  
% 3.83/3.92  fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
% 3.83/3.92      ? [BNODE_o,BNODE_l] :
% 3.83/3.92        ( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
% 3.83/3.92        & iext(uri_rdf_type,uri_ex_w,BNODE_o)
% 3.83/3.92        & iext(uri_rdf_type,BNODE_o,uri_owl_Class)
% 3.83/3.92        & iext(uri_owl_oneOf,BNODE_o,BNODE_l)
% 3.83/3.92        & iext(uri_rdf_first,BNODE_l,uri_ex_u)
% 3.83/3.92        & iext(uri_rdf_first,BNODE_l,uri_ex_v)
% 3.83/3.92        & iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ) ).
% 3.83/3.92  
% 3.83/3.92  %------------------------------------------------------------------------------
% 3.83/3.92  %-------------------------------------------
% 3.83/3.92  % Proof found
% 3.83/3.92  % SZS status Theorem for theBenchmark
% 3.83/3.92  % SZS output start Proof
% 3.83/3.92  %ClaNum:38(EqnAxiom:16)
% 3.83/3.92  %VarNum:93(SingletonVarNum:33)
% 3.83/3.92  %MaxLitNum:6
% 3.83/3.92  %MaxfuncDepth:1
% 3.83/3.92  %SharedTerms:22
% 3.83/3.92  %goalClause: 32
% 3.83/3.92  [17]P1(a1,a2,a3)
% 3.83/3.92  [18]P1(a1,a4,a5)
% 3.83/3.92  [19]P1(a1,a5,a13)
% 3.83/3.92  [20]P1(a2,a10,a11)
% 3.83/3.92  [21]P1(a2,a10,a12)
% 3.83/3.92  [22]P1(a16,a10,a17)
% 3.83/3.92  [23]P1(a14,a5,a10)
% 3.83/3.92  [32]~P1(a15,a4,a11)+~P1(a15,a4,a12)
% 3.83/3.92  [24]P4(x241)+~P2(a3,x241)
% 3.83/3.92  [26]~E(x261,x262)+P1(a15,x261,x262)
% 3.83/3.92  [27]~P2(x272,x271)+P1(a1,x271,x272)
% 3.83/3.92  [28]E(x281,x282)+~P1(a15,x281,x282)
% 3.83/3.92  [31]P2(x311,x312)+~P1(a1,x312,x311)
% 3.83/3.92  [25]~P4(x251)+~E(f6(x251),f7(x251))+P2(a3,x251)
% 3.83/3.92  [29]~P4(x291)+P1(x291,f8(x291),f7(x291))+P2(a3,x291)
% 3.83/3.92  [30]~P4(x301)+P1(x301,f8(x301),f6(x301))+P2(a3,x301)
% 3.83/3.92  [34]P3(x341)+~P1(a14,x341,x342)+~P1(a2,x342,x343)+~P1(a16,x342,a17)
% 3.83/3.92  [33]~P1(x333,x334,x331)+E(x331,x332)+~P1(x333,x334,x332)+~P2(a3,x333)
% 3.83/3.92  [35]P2(x351,x352)+~E(x352,x353)+~P1(a14,x351,x354)+~P1(a2,x354,x353)+~P1(a16,x354,a17)
% 3.83/3.92  [36]E(x361,x362)+~P2(x363,x361)+~P1(a14,x363,x364)+~P1(a2,x364,x362)+~P1(a16,x364,a17)
% 3.83/3.92  [37]~P3(x371)+P1(a14,x371,x372)+~P1(a2,x372,x373)+E(f9(x371,x372,x373),x373)+P2(x371,f9(x371,x372,x373))+~P1(a16,x372,a17)
% 3.83/3.92  [38]~P3(x381)+~P1(a2,x382,x383)+P1(a14,x381,x382)+~E(f9(x381,x382,x383),x383)+~P2(x381,f9(x381,x382,x383))+~P1(a16,x382,a17)
% 3.83/3.92  %EqnAxiom
% 3.83/3.92  [1]E(x11,x11)
% 3.83/3.92  [2]E(x22,x21)+~E(x21,x22)
% 3.83/3.92  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.83/3.92  [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 3.83/3.92  [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 3.83/3.92  [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 3.83/3.92  [7]~E(x71,x72)+E(f9(x71,x73,x74),f9(x72,x73,x74))
% 3.83/3.92  [8]~E(x81,x82)+E(f9(x83,x81,x84),f9(x83,x82,x84))
% 3.83/3.92  [9]~E(x91,x92)+E(f9(x93,x94,x91),f9(x93,x94,x92))
% 3.83/3.92  [10]P1(x102,x103,x104)+~E(x101,x102)+~P1(x101,x103,x104)
% 3.83/3.92  [11]P1(x113,x112,x114)+~E(x111,x112)+~P1(x113,x111,x114)
% 3.83/3.92  [12]P1(x123,x124,x122)+~E(x121,x122)+~P1(x123,x124,x121)
% 3.83/3.92  [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 3.83/3.92  [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 3.83/3.92  [15]~P3(x151)+P3(x152)+~E(x151,x152)
% 3.83/3.92  [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 3.83/3.92  
% 3.83/3.92  %-------------------------------------------
% 3.83/3.92  cnf(39,plain,
% 3.83/3.92     (P1(a15,x391,x391)),
% 3.83/3.92     inference(equality_inference,[],[26])).
% 3.83/3.92  cnf(40,plain,
% 3.83/3.92     (P2(x401,x402)+~P1(a2,x403,x402)+~P1(a14,x401,x403)+~P1(a16,x403,a17)),
% 3.83/3.92     inference(equality_inference,[],[35])).
% 3.83/3.92  cnf(45,plain,
% 3.83/3.92     (P2(a5,a11)),
% 3.83/3.92     inference(scs_inference,[],[17,20,22,23,31,34,40])).
% 3.83/3.92  cnf(61,plain,
% 3.83/3.92     (P2(a5,a4)),
% 3.83/3.92     inference(scs_inference,[],[18,31])).
% 3.83/3.92  cnf(67,plain,
% 3.83/3.92     (E(a12,a11)),
% 3.83/3.92     inference(scs_inference,[],[18,21,45,23,22,31,40,36,2])).
% 3.83/3.92  cnf(170,plain,
% 3.83/3.92     (E(a4,a12)),
% 3.83/3.92     inference(scs_inference,[],[22,21,61,23,36])).
% 3.83/3.92  cnf(1252,plain,
% 3.83/3.92     (P1(a15,a12,a4)),
% 3.83/3.92     inference(scs_inference,[],[39,170,11])).
% 3.83/3.92  cnf(1253,plain,
% 3.83/3.92     (P1(a15,x12531,x12531)),
% 3.83/3.92     inference(rename_variables,[],[39])).
% 3.83/3.92  cnf(1254,plain,
% 3.83/3.92     (P1(a15,a4,a12)),
% 3.83/3.92     inference(scs_inference,[],[39,1253,170,11,12])).
% 3.83/3.92  cnf(1261,plain,
% 3.83/3.92     (~P1(a15,a4,a11)),
% 3.83/3.92     inference(scs_inference,[],[1254,32])).
% 3.83/3.92  cnf(1263,plain,
% 3.83/3.92     (P1(a15,a4,a11)),
% 3.83/3.92     inference(scs_inference,[],[1252,1254,67,11,12])).
% 3.83/3.92  cnf(1269,plain,
% 3.83/3.92     ($false),
% 3.83/3.92     inference(scs_inference,[],[1261,1263]),
% 3.83/3.92     ['proof']).
% 3.83/3.92  % SZS output end Proof
% 3.83/3.92  % Total time :3.310000s
%------------------------------------------------------------------------------