TSTP Solution File: KRS163+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : KRS163+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 : n015.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 05:39:30 EDT 2023

% Result   : Theorem 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS163+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 02:23:09 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.59  start to proof:theBenchmark
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  % File        :CSE---1.6
% 0.20/0.63  % Problem     :theBenchmark
% 0.20/0.63  % Transform   :cnf
% 0.20/0.63  % Format      :tptp:raw
% 0.20/0.63  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.63  
% 0.20/0.63  % Result      :Theorem 0.000000s
% 0.20/0.63  % Output      :CNFRefutation 0.000000s
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  %------------------------------------------------------------------------------
% 0.20/0.63  % File     : KRS163+1 : TPTP v8.1.2. Released v3.1.0.
% 0.20/0.63  % Domain   : Knowledge Representation (Semantic Web)
% 0.20/0.63  % Problem  : Disjoint classes have different members
% 0.20/0.63  % Version  : Especial.
% 0.20/0.63  % English  :
% 0.20/0.63  
% 0.20/0.63  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.20/0.63  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.20/0.63  % Source   : [Bec03]
% 0.20/0.63  % Names    : positive_disjointWith-Manifest001 [Bec03]
% 0.20/0.63  
% 0.20/0.63  % Status   : Theorem
% 0.20/0.63  % Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.1, 0.04 v3.7.0, 0.00 v3.1.0
% 0.20/0.63  % Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
% 0.20/0.63  %            Number of atoms       :   35 (   7 equ)
% 0.20/0.63  %            Maximal formula atoms :    7 (   2 avg)
% 0.20/0.63  %            Number of connectives :   27 (   6   ~;   0   |;  13   &)
% 0.20/0.63  %                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
% 0.20/0.63  %            Maximal formula depth :    6 (   4 avg)
% 0.20/0.63  %            Maximal term depth    :    1 (   1 avg)
% 0.20/0.63  %            Number of predicates  :    7 (   6 usr;   0 prp; 1-2 aty)
% 0.20/0.63  %            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
% 0.20/0.63  %            Number of variables   :   17 (  17   !;   0   ?)
% 0.20/0.63  % SPC      : FOF_THM_EPR_SEQ
% 0.20/0.63  
% 0.20/0.63  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.20/0.63  %            datatypes, so this problem may not be perfect. At least it's
% 0.20/0.63  %            still representative of the type of reasoning required for OWL.
% 0.20/0.63  %------------------------------------------------------------------------------
% 0.20/0.63  fof(cA_substitution_1,axiom,
% 0.20/0.63      ! [A,B] :
% 0.20/0.63        ( ( A = B
% 0.20/0.63          & cA(A) )
% 0.20/0.63       => cA(B) ) ).
% 0.20/0.63  
% 0.20/0.63  fof(cB_substitution_1,axiom,
% 0.20/0.63      ! [A,B] :
% 0.20/0.63        ( ( A = B
% 0.20/0.63          & cB(A) )
% 0.20/0.63       => cB(B) ) ).
% 0.20/0.63  
% 0.20/0.63  fof(cowlNothing_substitution_1,axiom,
% 0.20/0.63      ! [A,B] :
% 0.20/0.63        ( ( A = B
% 0.20/0.63          & cowlNothing(A) )
% 0.20/0.63       => cowlNothing(B) ) ).
% 0.20/0.63  
% 0.20/0.63  fof(cowlThing_substitution_1,axiom,
% 0.20/0.63      ! [A,B] :
% 0.20/0.63        ( ( A = B
% 0.20/0.63          & cowlThing(A) )
% 0.20/0.63       => cowlThing(B) ) ).
% 0.20/0.63  
% 0.20/0.63  fof(xsd_integer_substitution_1,axiom,
% 0.20/0.63      ! [A,B] :
% 0.20/0.63        ( ( A = B
% 0.20/0.63          & xsd_integer(A) )
% 0.20/0.63       => xsd_integer(B) ) ).
% 0.20/0.63  
% 0.20/0.63  fof(xsd_string_substitution_1,axiom,
% 0.20/0.63      ! [A,B] :
% 0.20/0.63        ( ( A = B
% 0.20/0.63          & xsd_string(A) )
% 0.20/0.63       => xsd_string(B) ) ).
% 0.20/0.63  
% 0.20/0.63  %----Thing and Nothing
% 0.20/0.63  fof(axiom_0,axiom,
% 0.20/0.63      ! [X] :
% 0.20/0.63        ( cowlThing(X)
% 0.20/0.63        & ~ cowlNothing(X) ) ).
% 0.20/0.63  
% 0.20/0.63  %----String and Integer disjoint
% 0.20/0.63  fof(axiom_1,axiom,
% 0.20/0.63      ! [X] :
% 0.20/0.64        ( xsd_string(X)
% 0.20/0.64      <=> ~ xsd_integer(X) ) ).
% 0.20/0.64  
% 0.20/0.64  %----ia
% 0.20/0.64  fof(axiom_2,axiom,
% 0.20/0.64      cA(ia) ).
% 0.20/0.64  
% 0.20/0.64  %----ia
% 0.20/0.64  fof(axiom_3,axiom,
% 0.20/0.64      cowlThing(ia) ).
% 0.20/0.64  
% 0.20/0.64  %----ib
% 0.20/0.64  fof(axiom_4,axiom,
% 0.20/0.64      cB(ib) ).
% 0.20/0.64  
% 0.20/0.64  %----ib
% 0.20/0.64  fof(axiom_5,axiom,
% 0.20/0.64      cowlThing(ib) ).
% 0.20/0.64  
% 0.20/0.64  fof(axiom_6,axiom,
% 0.20/0.64      ! [X] :
% 0.20/0.64        ~ ( cB(X)
% 0.20/0.64          & cA(X) ) ).
% 0.20/0.64  
% 0.20/0.64  %----Thing and Nothing
% 0.20/0.64  %----String and Integer disjoint
% 0.20/0.64  %----ia
% 0.20/0.64  %----ib
% 0.20/0.64  fof(the_axiom,conjecture,
% 0.20/0.64      ( ! [X] :
% 0.20/0.64          ( cowlThing(X)
% 0.20/0.64          & ~ cowlNothing(X) )
% 0.20/0.64      & ! [X] :
% 0.20/0.64          ( xsd_string(X)
% 0.20/0.64        <=> ~ xsd_integer(X) )
% 0.20/0.64      & cowlThing(ia)
% 0.20/0.64      & cowlThing(ib)
% 0.20/0.64      & ia != ib ) ).
% 0.20/0.64  
% 0.20/0.64  %------------------------------------------------------------------------------
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  % Proof found
% 0.20/0.64  % SZS status Theorem for theBenchmark
% 0.20/0.64  % SZS output start Proof
% 0.20/0.64  %ClaNum:16(EqnAxiom:8)
% 0.20/0.64  %VarNum:7(SingletonVarNum:4)
% 0.20/0.64  %MaxLitNum:4
% 0.20/0.64  %MaxfuncDepth:0
% 0.20/0.64  %SharedTerms:12
% 0.20/0.64  %goalClause: 13 14
% 0.20/0.64  [9]P1(a1)
% 0.20/0.64  [10]P2(a4)
% 0.20/0.64  [11]~P3(x111)
% 0.20/0.64  [12]P5(x121)+P4(x121)
% 0.20/0.64  [15]~P2(x151)+~P1(x151)
% 0.20/0.64  [16]~P5(x161)+~P4(x161)
% 0.20/0.64  [13]E(a1,a4)+P3(a2)+P4(a3)+~P5(a3)
% 0.20/0.64  [14]E(a1,a4)+P3(a2)+P5(a3)+~P4(a3)
% 0.20/0.64  %EqnAxiom
% 0.20/0.64  [1]E(x11,x11)
% 0.20/0.64  [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.64  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.64  [4]~P1(x41)+P1(x42)+~E(x41,x42)
% 0.20/0.64  [5]~P2(x51)+P2(x52)+~E(x51,x52)
% 0.20/0.64  [6]~P3(x61)+P3(x62)+~E(x61,x62)
% 0.20/0.64  [7]~P4(x71)+P4(x72)+~E(x71,x72)
% 0.20/0.64  [8]~P5(x81)+P5(x82)+~E(x81,x82)
% 0.20/0.64  
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  cnf(18,plain,
% 0.20/0.64     (~E(a4,a1)),
% 0.20/0.64     inference(scs_inference,[],[9,10,15,5])).
% 0.20/0.64  cnf(21,plain,
% 0.20/0.64     (E(a1,a4)+~P5(a3)+P4(a3)),
% 0.20/0.64     inference(scs_inference,[],[11,13])).
% 0.20/0.64  cnf(22,plain,
% 0.20/0.64     (E(a1,a4)+~P4(a3)+P5(a3)),
% 0.20/0.64     inference(scs_inference,[],[11,14])).
% 0.20/0.64  cnf(23,plain,
% 0.20/0.64     (~E(a1,a4)),
% 0.20/0.64     inference(scs_inference,[],[18,2])).
% 0.20/0.64  cnf(27,plain,
% 0.20/0.64     (P5(a3)+~P4(a3)),
% 0.20/0.64     inference(scs_inference,[],[10,18,2,15,3,22])).
% 0.20/0.64  cnf(29,plain,
% 0.20/0.64     (~P5(a3)+P4(a3)),
% 0.20/0.64     inference(scs_inference,[],[23,21])).
% 0.20/0.64  cnf(31,plain,
% 0.20/0.64     (~P4(a3)),
% 0.20/0.64     inference(scs_inference,[],[27,16])).
% 0.20/0.64  cnf(32,plain,
% 0.20/0.64     (~P5(a3)),
% 0.20/0.64     inference(scs_inference,[],[31,29])).
% 0.20/0.64  cnf(33,plain,
% 0.20/0.64     (P5(a3)),
% 0.20/0.64     inference(scs_inference,[],[31,12])).
% 0.20/0.64  cnf(41,plain,
% 0.20/0.64     ($false),
% 0.20/0.64     inference(scs_inference,[],[32,33]),
% 0.20/0.64     ['proof']).
% 0.20/0.64  % SZS output end Proof
% 0.20/0.64  % Total time :0.000000s
%------------------------------------------------------------------------------