TSTP Solution File: KRS095+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : KRS095+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/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 05:39:14 EDT 2023

% Result   : Unsatisfiable 0.52s 0.60s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS095+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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   : Mon Aug 28 01:03:05 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.19/0.55  start to proof:theBenchmark
% 0.52/0.60  %-------------------------------------------
% 0.52/0.60  % File        :CSE---1.6
% 0.52/0.60  % Problem     :theBenchmark
% 0.52/0.60  % Transform   :cnf
% 0.52/0.60  % Format      :tptp:raw
% 0.52/0.60  % Command     :java -jar mcs_scs.jar %d %s
% 0.52/0.60  
% 0.52/0.60  % Result      :Theorem 0.000000s
% 0.52/0.60  % Output      :CNFRefutation 0.000000s
% 0.52/0.60  %-------------------------------------------
% 0.52/0.60  %------------------------------------------------------------------------------
% 0.52/0.60  % File     : KRS095+1 : TPTP v8.1.2. Released v3.1.0.
% 0.52/0.60  % Domain   : Knowledge Representation (Semantic Web)
% 0.52/0.60  % Problem  : DL Test: heinsohn2.1
% 0.52/0.60  % Version  : Especial.
% 0.52/0.60  % English  : Tbox tests from [HK+94]
% 0.52/0.60  
% 0.52/0.60  % Refs     : [HK+94] Heinsohn et al. (1994), An Empirical Analysis of Termi
% 0.52/0.60  %          : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.52/0.60  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.52/0.60  % Source   : [Bec03]
% 0.52/0.60  % Names    : inconsistent_description-logic-Manifest105 [Bec03]
% 0.52/0.60  
% 0.52/0.60  % Status   : Unsatisfiable
% 0.52/0.60  % Rating   : 0.00 v3.1.0
% 0.52/0.60  % Syntax   : Number of formulae    :   14 (   1 unt;   0 def)
% 0.52/0.60  %            Number of atoms       :   41 (  11 equ)
% 0.52/0.60  %            Maximal formula atoms :    7 (   2 avg)
% 0.52/0.60  %            Number of connectives :   31 (   4   ~;   0   |;  14   &)
% 0.52/0.60  %                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
% 0.52/0.60  %            Maximal formula depth :    9 (   5 avg)
% 0.52/0.60  %            Maximal term depth    :    1 (   1 avg)
% 0.52/0.60  %            Number of predicates  :    9 (   8 usr;   0 prp; 1-2 aty)
% 0.52/0.60  %            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
% 0.52/0.60  %            Number of variables   :   28 (  26   !;   2   ?)
% 0.52/0.60  % SPC      : FOF_UNS_RFO_SEQ
% 0.52/0.60  
% 0.52/0.60  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.52/0.60  %            datatypes, so this problem may not be perfect. At least it's
% 0.52/0.60  %            still representative of the type of reasoning required for OWL.
% 0.52/0.60  %          : Tests incoherency caused by number restrictions
% 0.52/0.60  %------------------------------------------------------------------------------
% 0.52/0.60  fof(cUnsatisfiable_substitution_1,axiom,
% 0.52/0.60      ! [A,B] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & cUnsatisfiable(A) )
% 0.52/0.60       => cUnsatisfiable(B) ) ).
% 0.52/0.60  
% 0.52/0.60  fof(cc_substitution_1,axiom,
% 0.52/0.60      ! [A,B] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & cc(A) )
% 0.52/0.60       => cc(B) ) ).
% 0.52/0.60  
% 0.52/0.60  fof(cd_substitution_1,axiom,
% 0.52/0.60      ! [A,B] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & cd(A) )
% 0.52/0.60       => cd(B) ) ).
% 0.52/0.60  
% 0.52/0.60  fof(cowlNothing_substitution_1,axiom,
% 0.52/0.60      ! [A,B] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & cowlNothing(A) )
% 0.52/0.60       => cowlNothing(B) ) ).
% 0.52/0.60  
% 0.52/0.60  fof(cowlThing_substitution_1,axiom,
% 0.52/0.60      ! [A,B] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & cowlThing(A) )
% 0.52/0.60       => cowlThing(B) ) ).
% 0.52/0.60  
% 0.52/0.60  fof(rr_substitution_1,axiom,
% 0.52/0.60      ! [A,B,C] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & rr(A,C) )
% 0.52/0.60       => rr(B,C) ) ).
% 0.52/0.60  
% 0.52/0.60  fof(rr_substitution_2,axiom,
% 0.52/0.60      ! [A,B,C] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & rr(C,A) )
% 0.52/0.60       => rr(C,B) ) ).
% 0.52/0.60  
% 0.52/0.60  fof(xsd_integer_substitution_1,axiom,
% 0.52/0.60      ! [A,B] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & xsd_integer(A) )
% 0.52/0.60       => xsd_integer(B) ) ).
% 0.52/0.60  
% 0.52/0.60  fof(xsd_string_substitution_1,axiom,
% 0.52/0.60      ! [A,B] :
% 0.52/0.60        ( ( A = B
% 0.52/0.60          & xsd_string(A) )
% 0.52/0.60       => xsd_string(B) ) ).
% 0.52/0.60  
% 0.52/0.60  %----Thing and Nothing
% 0.52/0.60  fof(axiom_0,axiom,
% 0.52/0.60      ! [X] :
% 0.52/0.60        ( cowlThing(X)
% 0.52/0.60        & ~ cowlNothing(X) ) ).
% 0.52/0.60  
% 0.52/0.60  %----String and Integer disjoint
% 0.52/0.60  fof(axiom_1,axiom,
% 0.52/0.60      ! [X] :
% 0.52/0.60        ( xsd_string(X)
% 0.52/0.60      <=> ~ xsd_integer(X) ) ).
% 0.52/0.60  
% 0.52/0.60  %----Equality cUnsatisfiable
% 0.52/0.60  fof(axiom_2,axiom,
% 0.52/0.60      ! [X] :
% 0.52/0.60        ( cUnsatisfiable(X)
% 0.52/0.60      <=> ( ? [Y0,Y1] :
% 0.52/0.60              ( rr(X,Y0)
% 0.52/0.60              & rr(X,Y1)
% 0.52/0.60              & Y0 != Y1 )
% 0.52/0.60          & ! [Y0,Y1] :
% 0.52/0.60              ( ( rr(X,Y0)
% 0.52/0.60                & rr(X,Y1) )
% 0.52/0.60             => Y0 = Y1 ) ) ) ).
% 0.52/0.60  
% 0.52/0.60  %----Super cc
% 0.52/0.60  fof(axiom_3,axiom,
% 0.52/0.60      ! [X] :
% 0.52/0.60        ( cc(X)
% 0.52/0.60       => ~ cd(X) ) ).
% 0.52/0.60  
% 0.52/0.60  %----i2003_11_14_17_20_14253
% 0.52/0.60  fof(axiom_4,axiom,
% 0.52/0.60      cUnsatisfiable(i2003_11_14_17_20_14253) ).
% 0.52/0.60  
% 0.52/0.60  %------------------------------------------------------------------------------
% 0.52/0.60  %-------------------------------------------
% 0.52/0.60  % Proof found
% 0.52/0.60  % SZS status Theorem for theBenchmark
% 0.52/0.60  % SZS output start Proof
% 0.52/0.60  %ClaNum:27(EqnAxiom:15)
% 0.52/0.60  %VarNum:50(SingletonVarNum:19)
% 0.52/0.61  %MaxLitNum:5
% 0.52/0.61  %MaxfuncDepth:1
% 0.52/0.61  %SharedTerms:2
% 0.52/0.61  [16]P1(a1)
% 0.52/0.61  [17]~P2(x171)
% 0.52/0.61  [18]P7(x181)+P5(x181)
% 0.52/0.61  [19]~P4(x191)+~P3(x191)
% 0.52/0.61  [20]~P7(x201)+~P5(x201)
% 0.52/0.61  [21]~P1(x211)+~E(f2(x211),f3(x211))
% 0.52/0.61  [22]~P1(x221)+P6(x221,f3(x221))
% 0.52/0.61  [23]~P1(x231)+P6(x231,f2(x231))
% 0.52/0.61  [24]~P6(x243,x242)+~P6(x243,x241)+E(x241,x242)+~P1(x243)
% 0.52/0.61  [25]~P6(x253,x252)+~P6(x253,x251)+E(x251,x252)+P1(x253)+~E(f4(x253),f5(x253))
% 0.52/0.61  [26]~P6(x263,x262)+~P6(x263,x261)+E(x261,x262)+P1(x263)+P6(x263,f5(x263))
% 0.52/0.61  [27]~P6(x273,x272)+~P6(x273,x271)+E(x271,x272)+P1(x273)+P6(x273,f4(x273))
% 0.52/0.61  %EqnAxiom
% 0.52/0.61  [1]E(x11,x11)
% 0.52/0.61  [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.61  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.61  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.52/0.61  [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.52/0.61  [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 0.52/0.61  [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.52/0.61  [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.52/0.61  [9]~P2(x91)+P2(x92)+~E(x91,x92)
% 0.52/0.61  [10]~P5(x101)+P5(x102)+~E(x101,x102)
% 0.52/0.61  [11]~P7(x111)+P7(x112)+~E(x111,x112)
% 0.52/0.61  [12]~P3(x121)+P3(x122)+~E(x121,x122)
% 0.52/0.61  [13]~P4(x131)+P4(x132)+~E(x131,x132)
% 0.52/0.61  [14]P6(x142,x143)+~E(x141,x142)+~P6(x141,x143)
% 0.52/0.61  [15]P6(x153,x152)+~E(x151,x152)+~P6(x153,x151)
% 0.52/0.61  
% 0.52/0.61  %-------------------------------------------
% 0.52/0.61  cnf(28,plain,
% 0.52/0.61     (P6(a1,f2(a1))),
% 0.52/0.61     inference(scs_inference,[],[16,23])).
% 0.52/0.61  cnf(29,plain,
% 0.52/0.61     (P6(a1,f3(a1))),
% 0.52/0.61     inference(scs_inference,[],[16,23,22])).
% 0.52/0.61  cnf(30,plain,
% 0.52/0.61     (~E(f2(a1),f3(a1))),
% 0.52/0.61     inference(scs_inference,[],[16,23,22,21])).
% 0.52/0.61  cnf(35,plain,
% 0.52/0.61     ($false),
% 0.52/0.61     inference(scs_inference,[],[16,30,28,29,2,24]),
% 0.52/0.61     ['proof']).
% 0.52/0.61  % SZS output end Proof
% 0.52/0.61  % Total time :0.000000s
%------------------------------------------------------------------------------