TSTP Solution File: KRS077+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : KRS077+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 : n016.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 05:39:10 EDT 2023

% Result   : Unsatisfiable 0.21s 0.67s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 02:17:45 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.58  start to proof:theBenchmark
% 0.21/0.66  %-------------------------------------------
% 0.21/0.66  % File        :CSE---1.6
% 0.21/0.66  % Problem     :theBenchmark
% 0.21/0.66  % Transform   :cnf
% 0.21/0.66  % Format      :tptp:raw
% 0.21/0.66  % Command     :java -jar mcs_scs.jar %d %s
% 0.21/0.66  
% 0.21/0.66  % Result      :Theorem 0.020000s
% 0.21/0.66  % Output      :CNFRefutation 0.020000s
% 0.21/0.66  %-------------------------------------------
% 0.21/0.66  %------------------------------------------------------------------------------
% 0.21/0.66  % File     : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% 0.21/0.66  % Domain   : Knowledge Representation (Semantic Web)
% 0.21/0.66  % Problem  : DL Test: t11.1
% 0.21/0.66  % Version  : Especial.
% 0.21/0.66  % English  :
% 0.21/0.66  
% 0.21/0.66  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.21/0.66  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.21/0.66  % Source   : [Bec03]
% 0.21/0.66  % Names    : inconsistent_description-logic-Manifest014 [Bec03]
% 0.21/0.66  
% 0.21/0.66  % Status   : Unsatisfiable
% 0.21/0.66  % Rating   : 0.00 v3.1.0
% 0.21/0.66  % Syntax   : Number of formulae    :   18 (   1 unt;   0 def)
% 0.21/0.66  %            Number of atoms       :   55 (  13 equ)
% 0.21/0.66  %            Maximal formula atoms :   10 (   3 avg)
% 0.21/0.66  %            Number of connectives :   40 (   3   ~;   0   |;  19   &)
% 0.21/0.66  %                                         (   3 <=>;  15  =>;   0  <=;   0 <~>)
% 0.21/0.66  %            Maximal formula depth :    9 (   5 avg)
% 0.21/0.66  %            Maximal term depth    :    1 (   1 avg)
% 0.21/0.66  %            Number of predicates  :   10 (   9 usr;   0 prp; 1-2 aty)
% 0.21/0.66  %            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
% 0.21/0.66  %            Number of variables   :   42 (  40   !;   2   ?)
% 0.21/0.66  % SPC      : FOF_UNS_RFO_SEQ
% 0.21/0.66  
% 0.21/0.66  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.21/0.66  %            datatypes, so this problem may not be perfect. At least it's
% 0.21/0.66  %            still representative of the type of reasoning required for OWL.
% 0.21/0.66  %------------------------------------------------------------------------------
% 0.21/0.66  fof(cUnsatisfiable_substitution_1,axiom,
% 0.21/0.66      ! [A,B] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & cUnsatisfiable(A) )
% 0.21/0.66       => cUnsatisfiable(B) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(cowlNothing_substitution_1,axiom,
% 0.21/0.66      ! [A,B] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & cowlNothing(A) )
% 0.21/0.66       => cowlNothing(B) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(cowlThing_substitution_1,axiom,
% 0.21/0.66      ! [A,B] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & cowlThing(A) )
% 0.21/0.66       => cowlThing(B) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(cp_substitution_1,axiom,
% 0.21/0.66      ! [A,B] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & cp(A) )
% 0.21/0.66       => cp(B) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(rinvS_substitution_1,axiom,
% 0.21/0.66      ! [A,B,C] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & rinvS(A,C) )
% 0.21/0.66       => rinvS(B,C) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(rinvS_substitution_2,axiom,
% 0.21/0.66      ! [A,B,C] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & rinvS(C,A) )
% 0.21/0.66       => rinvS(C,B) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(rr_substitution_1,axiom,
% 0.21/0.66      ! [A,B,C] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & rr(A,C) )
% 0.21/0.66       => rr(B,C) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(rr_substitution_2,axiom,
% 0.21/0.66      ! [A,B,C] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & rr(C,A) )
% 0.21/0.66       => rr(C,B) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(rs_substitution_1,axiom,
% 0.21/0.66      ! [A,B,C] :
% 0.21/0.66        ( ( A = B
% 0.21/0.66          & rs(A,C) )
% 0.21/0.66       => rs(B,C) ) ).
% 0.21/0.66  
% 0.21/0.66  fof(rs_substitution_2,axiom,
% 0.21/0.66      ! [A,B,C] :
% 0.21/0.66        ( ( A = B
% 0.21/0.67          & rs(C,A) )
% 0.21/0.67       => rs(C,B) ) ).
% 0.21/0.67  
% 0.21/0.67  fof(xsd_integer_substitution_1,axiom,
% 0.21/0.67      ! [A,B] :
% 0.21/0.67        ( ( A = B
% 0.21/0.67          & xsd_integer(A) )
% 0.21/0.67       => xsd_integer(B) ) ).
% 0.21/0.67  
% 0.21/0.67  fof(xsd_string_substitution_1,axiom,
% 0.21/0.67      ! [A,B] :
% 0.21/0.67        ( ( A = B
% 0.21/0.67          & xsd_string(A) )
% 0.21/0.67       => xsd_string(B) ) ).
% 0.21/0.67  
% 0.21/0.67  %----Thing and Nothing
% 0.21/0.67  fof(axiom_0,axiom,
% 0.21/0.67      ! [X] :
% 0.21/0.67        ( cowlThing(X)
% 0.21/0.67        & ~ cowlNothing(X) ) ).
% 0.21/0.67  
% 0.21/0.67  %----String and Integer disjoint
% 0.21/0.67  fof(axiom_1,axiom,
% 0.21/0.67      ! [X] :
% 0.21/0.67        ( xsd_string(X)
% 0.21/0.67      <=> ~ xsd_integer(X) ) ).
% 0.21/0.67  
% 0.21/0.67  %----Equality cUnsatisfiable
% 0.21/0.67  fof(axiom_2,axiom,
% 0.21/0.67      ! [X] :
% 0.21/0.67        ( cUnsatisfiable(X)
% 0.21/0.67      <=> ( ! [Y0,Y1] :
% 0.21/0.67              ( ( rr(X,Y0)
% 0.21/0.67                & rr(X,Y1) )
% 0.21/0.67             => Y0 = Y1 )
% 0.21/0.67          & ? [Y] :
% 0.21/0.67              ( rr(X,Y)
% 0.21/0.67              & ! [Z] :
% 0.21/0.67                  ( rinvS(Y,Z)
% 0.21/0.67                 => cp(Z) ) )
% 0.21/0.67          & ~ cp(X)
% 0.21/0.67          & ? [Y] :
% 0.21/0.67              ( rs(X,Y)
% 0.21/0.67              & cp(Y) ) ) ) ).
% 0.21/0.67  
% 0.21/0.67  %----Inverse: rinvS
% 0.21/0.67  fof(axiom_3,axiom,
% 0.21/0.67      ! [X,Y] :
% 0.21/0.67        ( rinvS(X,Y)
% 0.21/0.67      <=> rs(Y,X) ) ).
% 0.21/0.67  
% 0.21/0.67  %----i2003_11_14_17_19_09372
% 0.21/0.67  fof(axiom_4,axiom,
% 0.21/0.67      cUnsatisfiable(i2003_11_14_17_19_09372) ).
% 0.21/0.67  
% 0.21/0.67  fof(axiom_5,axiom,
% 0.21/0.67      ! [X,Y] :
% 0.21/0.67        ( rs(X,Y)
% 0.21/0.67       => rr(X,Y) ) ).
% 0.21/0.67  
% 0.21/0.67  %------------------------------------------------------------------------------
% 0.21/0.67  %-------------------------------------------
% 0.21/0.67  % Proof found
% 0.21/0.67  % SZS status Theorem for theBenchmark
% 0.21/0.67  % SZS output start Proof
% 0.21/0.67  %ClaNum:39(EqnAxiom:20)
% 0.21/0.67  %VarNum:107(SingletonVarNum:36)
% 0.21/0.67  %MaxLitNum:7
% 0.21/0.67  %MaxfuncDepth:1
% 0.21/0.67  %SharedTerms:2
% 0.21/0.67  [21]P1(a1)
% 0.21/0.67  [22]~P2(x221)
% 0.21/0.67  [23]P8(x231)+P3(x231)
% 0.21/0.67  [24]~P4(x241)+~P1(x241)
% 0.21/0.67  [25]~P8(x251)+~P3(x251)
% 0.21/0.67  [26]~P1(x261)+P4(f2(x261))
% 0.21/0.67  [27]~P1(x271)+P5(x271,f3(x271))
% 0.21/0.67  [28]~P1(x281)+P7(x281,f2(x281))
% 0.21/0.67  [29]~P7(x292,x291)+P6(x291,x292)
% 0.21/0.67  [30]~P7(x301,x302)+P5(x301,x302)
% 0.21/0.67  [31]~P6(x312,x311)+P7(x311,x312)
% 0.21/0.67  [32]P4(x321)+~P1(x322)+~P6(f3(x322),x321)
% 0.21/0.67  [33]~P5(x333,x332)+~P5(x333,x331)+E(x331,x332)+~P1(x333)
% 0.21/0.67  [34]P4(x341)+~P5(x341,x342)+~P7(x341,x343)+P1(x341)+~P4(x343)+~E(f5(x341),f6(x341))+P6(x342,f4(x341,x342))
% 0.21/0.67  [35]P4(x351)+~P5(x351,x352)+~P7(x351,x353)+P1(x351)+~P4(x353)+P5(x351,f6(x351))+P6(x352,f4(x351,x352))
% 0.21/0.67  [36]P4(x361)+~P5(x361,x362)+~P7(x361,x363)+P1(x361)+~P4(x363)+P5(x361,f5(x361))+P6(x362,f4(x361,x362))
% 0.21/0.67  [37]P4(x371)+~P7(x371,x372)+P1(x371)+~P5(x371,x373)+~P4(x372)+~E(f5(x371),f6(x371))+~P4(f4(x371,x373))
% 0.21/0.67  [38]P4(x381)+~P7(x381,x382)+P1(x381)+~P5(x381,x383)+~P4(x382)+P5(x381,f6(x381))+~P4(f4(x381,x383))
% 0.21/0.67  [39]P4(x391)+~P7(x391,x392)+P1(x391)+~P5(x391,x393)+~P4(x392)+P5(x391,f5(x391))+~P4(f4(x391,x393))
% 0.21/0.67  %EqnAxiom
% 0.21/0.67  [1]E(x11,x11)
% 0.21/0.67  [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.67  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.67  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.21/0.67  [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.21/0.67  [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.21/0.67  [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.21/0.67  [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 0.21/0.67  [9]~E(x91,x92)+E(f6(x91),f6(x92))
% 0.21/0.67  [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.21/0.67  [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 0.21/0.67  [12]~P3(x121)+P3(x122)+~E(x121,x122)
% 0.21/0.67  [13]~P8(x131)+P8(x132)+~E(x131,x132)
% 0.21/0.67  [14]~P4(x141)+P4(x142)+~E(x141,x142)
% 0.21/0.67  [15]P7(x152,x153)+~E(x151,x152)+~P7(x151,x153)
% 0.21/0.67  [16]P7(x163,x162)+~E(x161,x162)+~P7(x163,x161)
% 0.21/0.67  [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173)
% 0.21/0.67  [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181)
% 0.21/0.67  [19]P6(x192,x193)+~E(x191,x192)+~P6(x191,x193)
% 0.21/0.67  [20]P6(x203,x202)+~E(x201,x202)+~P6(x203,x201)
% 0.21/0.67  
% 0.21/0.67  %-------------------------------------------
% 0.21/0.67  cnf(41,plain,
% 0.21/0.67     (P7(a1,f2(a1))),
% 0.21/0.67     inference(scs_inference,[],[21,24,28])).
% 0.21/0.67  cnf(42,plain,
% 0.21/0.67     (P5(a1,f3(a1))),
% 0.21/0.67     inference(scs_inference,[],[21,24,28,27])).
% 0.21/0.67  cnf(46,plain,
% 0.21/0.67     (~E(f2(a1),a1)),
% 0.21/0.67     inference(scs_inference,[],[21,24,28,27,26,14])).
% 0.21/0.67  cnf(50,plain,
% 0.21/0.67     (~P7(a1,f3(a1))),
% 0.21/0.67     inference(scs_inference,[],[21,24,28,27,26,14,10,32,29])).
% 0.21/0.67  cnf(54,plain,
% 0.21/0.67     (P5(a1,f2(a1))),
% 0.21/0.67     inference(scs_inference,[],[41,46,2,30])).
% 0.21/0.67  cnf(56,plain,
% 0.21/0.67     (~E(f2(a1),f3(a1))),
% 0.21/0.67     inference(scs_inference,[],[50,41,46,2,30,16])).
% 0.21/0.67  cnf(80,plain,
% 0.21/0.67     ($false),
% 0.21/0.67     inference(scs_inference,[],[56,54,42,21,33]),
% 0.21/0.67     ['proof']).
% 0.21/0.67  % SZS output end Proof
% 0.21/0.67  % Total time :0.020000s
%------------------------------------------------------------------------------