TSTP Solution File: KRS129+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : KRS129+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% 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 : Thu Aug 31 05:39:22 EDT 2023

% Result   : Theorem 0.50s 0.60s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : KRS129+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.30  % Computer : n009.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Aug 28 01:57:20 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.52  start to proof:theBenchmark
% 0.50/0.59  %-------------------------------------------
% 0.50/0.59  % File        :CSE---1.6
% 0.50/0.59  % Problem     :theBenchmark
% 0.50/0.59  % Transform   :cnf
% 0.50/0.59  % Format      :tptp:raw
% 0.50/0.59  % Command     :java -jar mcs_scs.jar %d %s
% 0.50/0.59  
% 0.50/0.59  % Result      :Theorem 0.030000s
% 0.50/0.59  % Output      :CNFRefutation 0.030000s
% 0.50/0.59  %-------------------------------------------
% 0.50/0.60  %------------------------------------------------------------------------------
% 0.50/0.60  % File     : KRS129+1 : TPTP v8.1.2. Released v3.1.0.
% 0.50/0.60  % Domain   : Knowledge Representation (Semantic Web)
% 0.50/0.60  % Problem  : An example combinging owl:oneOf and owl:inverseOf
% 0.50/0.60  % Version  : Especial.
% 0.50/0.60  % English  :
% 0.50/0.60  
% 0.50/0.60  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.50/0.60  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.50/0.60  % Source   : [Bec03]
% 0.50/0.60  % Names    : positive_I4.5-Manifest001 [Bec03]
% 0.50/0.60  
% 0.50/0.60  % Status   : Theorem
% 0.50/0.60  % Rating   : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.00 v6.1.0, 0.03 v6.0.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.2.0, 0.11 v3.1.0
% 0.50/0.60  % Syntax   : Number of formulae    :   27 (   8 unt;   0 def)
% 0.50/0.60  %            Number of atoms       :   67 (  18 equ)
% 0.50/0.60  %            Maximal formula atoms :    7 (   2 avg)
% 0.50/0.60  %            Number of connectives :   44 (   4   ~;   5   |;  17   &)
% 0.50/0.60  %                                         (   5 <=>;  13  =>;   0  <=;   0 <~>)
% 0.50/0.60  %            Maximal formula depth :    8 (   4 avg)
% 0.50/0.60  %            Maximal term depth    :    1 (   1 avg)
% 0.50/0.60  %            Number of predicates  :   11 (  10 usr;   0 prp; 1-2 aty)
% 0.50/0.60  %            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
% 0.50/0.60  %            Number of variables   :   39 (  38   !;   1   ?)
% 0.50/0.60  % SPC      : FOF_THM_RFO_SEQ
% 0.50/0.60  
% 0.50/0.60  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.50/0.60  %            datatypes, so this problem may not be perfect. At least it's
% 0.50/0.60  %            still representative of the type of reasoning required for OWL.
% 0.50/0.60  %------------------------------------------------------------------------------
% 0.50/0.60  fof(cEUCountry_substitution_1,axiom,
% 0.50/0.60      ! [A,B] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & cEUCountry(A) )
% 0.50/0.60       => cEUCountry(B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(cEuroMP_substitution_1,axiom,
% 0.50/0.60      ! [A,B] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & cEuroMP(A) )
% 0.50/0.60       => cEuroMP(B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(cEuropeanCountry_substitution_1,axiom,
% 0.50/0.60      ! [A,B] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & cEuropeanCountry(A) )
% 0.50/0.60       => cEuropeanCountry(B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(cPerson_substitution_1,axiom,
% 0.50/0.60      ! [A,B] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & cPerson(A) )
% 0.50/0.60       => cPerson(B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(cowlNothing_substitution_1,axiom,
% 0.50/0.60      ! [A,B] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & cowlNothing(A) )
% 0.50/0.60       => cowlNothing(B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(cowlThing_substitution_1,axiom,
% 0.50/0.60      ! [A,B] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & cowlThing(A) )
% 0.50/0.60       => cowlThing(B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(rhasEuroMP_substitution_1,axiom,
% 0.50/0.60      ! [A,B,C] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & rhasEuroMP(A,C) )
% 0.50/0.60       => rhasEuroMP(B,C) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(rhasEuroMP_substitution_2,axiom,
% 0.50/0.60      ! [A,B,C] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & rhasEuroMP(C,A) )
% 0.50/0.60       => rhasEuroMP(C,B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(risEuroMPFrom_substitution_1,axiom,
% 0.50/0.60      ! [A,B,C] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & risEuroMPFrom(A,C) )
% 0.50/0.60       => risEuroMPFrom(B,C) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(risEuroMPFrom_substitution_2,axiom,
% 0.50/0.60      ! [A,B,C] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & risEuroMPFrom(C,A) )
% 0.50/0.60       => risEuroMPFrom(C,B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(xsd_integer_substitution_1,axiom,
% 0.50/0.60      ! [A,B] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & xsd_integer(A) )
% 0.50/0.60       => xsd_integer(B) ) ).
% 0.50/0.60  
% 0.50/0.60  fof(xsd_string_substitution_1,axiom,
% 0.50/0.60      ! [A,B] :
% 0.50/0.60        ( ( A = B
% 0.50/0.60          & xsd_string(A) )
% 0.50/0.60       => xsd_string(B) ) ).
% 0.50/0.60  
% 0.50/0.60  %----Thing and Nothing
% 0.50/0.60  fof(axiom_0,axiom,
% 0.50/0.60      ! [X] :
% 0.50/0.60        ( cowlThing(X)
% 0.50/0.60        & ~ cowlNothing(X) ) ).
% 0.50/0.60  
% 0.50/0.60  %----String and Integer disjoint
% 0.50/0.60  fof(axiom_1,axiom,
% 0.50/0.60      ! [X] :
% 0.50/0.60        ( xsd_string(X)
% 0.50/0.60      <=> ~ xsd_integer(X) ) ).
% 0.50/0.60  
% 0.50/0.60  %----Enumeration cEUCountry
% 0.50/0.60  fof(axiom_2,axiom,
% 0.50/0.60      ! [X] :
% 0.50/0.60        ( cEUCountry(X)
% 0.50/0.60      <=> ( X = iBE
% 0.50/0.60          | X = iFR
% 0.50/0.60          | X = iES
% 0.50/0.60          | X = iUK
% 0.50/0.60          | X = iNL
% 0.50/0.60          | X = iPT ) ) ).
% 0.50/0.60  
% 0.50/0.60  %----Equality cEuroMP
% 0.50/0.60  fof(axiom_3,axiom,
% 0.50/0.60      ! [X] :
% 0.50/0.60        ( cEuroMP(X)
% 0.50/0.60      <=> ? [Y] :
% 0.50/0.60            ( risEuroMPFrom(X,Y)
% 0.50/0.60            & cowlThing(Y) ) ) ).
% 0.50/0.60  
% 0.50/0.60  %----Domain: rhasEuroMP
% 0.50/0.60  fof(axiom_4,axiom,
% 0.50/0.60      ! [X,Y] :
% 0.50/0.60        ( rhasEuroMP(X,Y)
% 0.50/0.60       => cEUCountry(X) ) ).
% 0.50/0.60  
% 0.50/0.60  %----Inverse: risEuroMPFrom
% 0.50/0.60  fof(axiom_5,axiom,
% 0.50/0.60      ! [X,Y] :
% 0.50/0.60        ( risEuroMPFrom(X,Y)
% 0.50/0.60      <=> rhasEuroMP(Y,X) ) ).
% 0.50/0.60  
% 0.50/0.60  %----iBE
% 0.50/0.60  fof(axiom_6,axiom,
% 0.50/0.60      cEuropeanCountry(iBE) ).
% 0.50/0.60  
% 0.50/0.60  %----iES
% 0.50/0.60  fof(axiom_7,axiom,
% 0.50/0.60      cEuropeanCountry(iES) ).
% 0.50/0.60  
% 0.50/0.60  %----iFR
% 0.50/0.60  fof(axiom_8,axiom,
% 0.50/0.60      cEuropeanCountry(iFR) ).
% 0.50/0.60  
% 0.50/0.60  %----iKinnock
% 0.50/0.60  fof(axiom_9,axiom,
% 0.50/0.60      cPerson(iKinnock) ).
% 0.50/0.60  
% 0.50/0.60  %----iNL
% 0.50/0.60  fof(axiom_10,axiom,
% 0.50/0.60      cEuropeanCountry(iNL) ).
% 0.50/0.60  
% 0.50/0.60  %----iPT
% 0.50/0.60  fof(axiom_11,axiom,
% 0.50/0.60      cEuropeanCountry(iPT) ).
% 0.50/0.60  
% 0.50/0.60  %----iUK
% 0.50/0.60  fof(axiom_12,axiom,
% 0.50/0.60      cEuropeanCountry(iUK) ).
% 0.50/0.60  
% 0.50/0.60  fof(axiom_13,axiom,
% 0.50/0.60      rhasEuroMP(iUK,iKinnock) ).
% 0.50/0.60  
% 0.50/0.60  %----Thing and Nothing
% 0.50/0.60  %----String and Integer disjoint
% 0.50/0.60  %----iKinnock
% 0.50/0.60  fof(the_axiom,conjecture,
% 0.50/0.60      ( ! [X] :
% 0.50/0.60          ( cowlThing(X)
% 0.50/0.60          & ~ cowlNothing(X) )
% 0.50/0.60      & ! [X] :
% 0.50/0.60          ( xsd_string(X)
% 0.50/0.60        <=> ~ xsd_integer(X) )
% 0.50/0.60      & cEuroMP(iKinnock) ) ).
% 0.50/0.60  
% 0.50/0.60  %------------------------------------------------------------------------------
% 0.50/0.60  %-------------------------------------------
% 0.50/0.60  % Proof found
% 0.50/0.60  % SZS status Theorem for theBenchmark
% 0.50/0.60  % SZS output start Proof
% 0.50/0.60  %ClaNum:40(EqnAxiom:15)
% 0.50/0.60  %VarNum:41(SingletonVarNum:19)
% 0.50/0.60  %MaxLitNum:7
% 0.50/0.60  %MaxfuncDepth:1
% 0.50/0.60  %SharedTerms:23
% 0.50/0.60  %goalClause: 33 34
% 0.50/0.60  [16]P1(a1)
% 0.50/0.60  [17]P1(a5)
% 0.50/0.60  [18]P1(a6)
% 0.50/0.60  [19]P1(a7)
% 0.50/0.60  [20]P1(a8)
% 0.50/0.60  [21]P1(a10)
% 0.50/0.60  [22]P4(a9)
% 0.50/0.60  [23]P5(a7,a9)
% 0.50/0.60  [24]~P6(x241)
% 0.50/0.60  [25]P2(x251)+~E(x251,a1)
% 0.50/0.60  [26]P2(x261)+~E(x261,a5)
% 0.50/0.60  [27]P2(x271)+~E(x271,a6)
% 0.50/0.60  [28]P2(x281)+~E(x281,a7)
% 0.50/0.60  [29]P2(x291)+~E(x291,a8)
% 0.50/0.60  [30]P2(x301)+~E(x301,a10)
% 0.50/0.60  [31]P9(x311)+P7(x311)
% 0.50/0.60  [32]~P9(x321)+~P7(x321)
% 0.50/0.60  [38]~P3(x381)+P8(x381,f3(x381))
% 0.50/0.60  [36]P2(x361)+~P5(x361,x362)
% 0.50/0.60  [37]P3(x371)+~P8(x371,x372)
% 0.50/0.60  [39]~P8(x392,x391)+P5(x391,x392)
% 0.50/0.60  [40]~P5(x402,x401)+P8(x401,x402)
% 0.50/0.60  [33]P6(a2)+P7(a4)+~P3(a9)+~P9(a4)
% 0.50/0.60  [34]P6(a2)+P9(a4)+~P3(a9)+~P7(a4)
% 0.50/0.60  [35]~P2(x351)+E(x351,a5)+E(x351,a6)+E(x351,a7)+E(x351,a8)+E(x351,a10)+E(x351,a1)
% 0.50/0.60  %EqnAxiom
% 0.50/0.60  [1]E(x11,x11)
% 0.50/0.60  [2]E(x22,x21)+~E(x21,x22)
% 0.50/0.60  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.50/0.60  [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.50/0.60  [5]~P1(x51)+P1(x52)+~E(x51,x52)
% 0.50/0.60  [6]P5(x62,x63)+~E(x61,x62)+~P5(x61,x63)
% 0.50/0.60  [7]P5(x73,x72)+~E(x71,x72)+~P5(x73,x71)
% 0.50/0.60  [8]P8(x82,x83)+~E(x81,x82)+~P8(x81,x83)
% 0.50/0.60  [9]P8(x93,x92)+~E(x91,x92)+~P8(x93,x91)
% 0.50/0.60  [10]~P3(x101)+P3(x102)+~E(x101,x102)
% 0.50/0.60  [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 0.50/0.60  [12]~P7(x121)+P7(x122)+~E(x121,x122)
% 0.50/0.60  [13]~P4(x131)+P4(x132)+~E(x131,x132)
% 0.50/0.60  [14]~P6(x141)+P6(x142)+~E(x141,x142)
% 0.50/0.60  [15]~P9(x151)+P9(x152)+~E(x151,x152)
% 0.50/0.60  
% 0.50/0.60  %-------------------------------------------
% 0.50/0.60  cnf(42,plain,
% 0.50/0.60     (P3(a9)),
% 0.50/0.60     inference(scs_inference,[],[23,40,37])).
% 0.50/0.60  cnf(48,plain,
% 0.50/0.60     (~P7(a4)+P9(a4)),
% 0.50/0.61     inference(scs_inference,[],[24,22,23,40,37,36,38,13,34])).
% 0.50/0.61  cnf(53,plain,
% 0.50/0.61     (~P9(a4)+P7(a4)),
% 0.50/0.61     inference(scs_inference,[],[42,24,33])).
% 0.50/0.61  cnf(70,plain,
% 0.50/0.61     (P9(a4)),
% 0.50/0.61     inference(scs_inference,[],[48,31])).
% 0.50/0.61  cnf(71,plain,
% 0.50/0.61     (P7(a4)),
% 0.50/0.61     inference(scs_inference,[],[70,53])).
% 0.50/0.61  cnf(72,plain,
% 0.50/0.61     (~P7(a4)),
% 0.50/0.61     inference(scs_inference,[],[70,32])).
% 0.50/0.61  cnf(78,plain,
% 0.50/0.61     ($false),
% 0.50/0.61     inference(scs_inference,[],[71,72]),
% 0.50/0.61     ['proof']).
% 0.50/0.61  % SZS output end Proof
% 0.50/0.61  % Total time :0.030000s
%------------------------------------------------------------------------------