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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : KRS136+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 10:08:38 EDT 2024

% Result   : Theorem 0.57s 0.61s
% Output   : CNFRefutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : KRS136+1 : TPTP v8.2.0. Released v3.1.0.
% 0.08/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Wed Jun 19 14:07:09 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.57  start to proof:theBenchmark
% 0.19/0.60  %-------------------------------------------
% 0.19/0.60  % File        :CSE---1.7
% 0.19/0.60  % Problem     :theBenchmark
% 0.19/0.60  % Transform   :cnf
% 0.19/0.60  % Format      :tptp:raw
% 0.19/0.60  % Command     :java -jar mcs_scs.jar %d %s
% 0.19/0.60  
% 0.19/0.60  % Result      :Theorem 0.000000s
% 0.19/0.60  % Output      :CNFRefutation 0.000000s
% 0.19/0.60  %-------------------------------------------
% 0.19/0.60  %------------------------------------------------------------------------------
% 0.19/0.60  % File     : KRS136+1 : TPTP v8.2.0. Released v3.1.0.
% 0.19/0.60  % Domain   : Knowledge Representation (Semantic Web)
% 0.19/0.60  % Problem  : Some set theory
% 0.19/0.60  % Version  : Especial.
% 0.19/0.60  % English  : The abstract syntax form of the conclusions is:
% 0.19/0.60  %            EquivalentClasses(restriction( first:p,minCardinality(1)))
% 0.19/0.60  %            ObjectProperty(first:p). This is trivially true given that
% 0.19/0.60  %            first:p is an individualvaluedPropertyID.
% 0.19/0.60  
% 0.19/0.61  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.19/0.61  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.19/0.61  % Source   : [Bec03]
% 0.19/0.61  % Names    : positive_I5.26-Manifest009 [Bec03]
% 0.19/0.61  
% 0.19/0.61  % Status   : Theorem
% 0.19/0.61  % Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.1.0
% 0.19/0.61  % Syntax   : Number of formulae    :    3 (   0 unt;   0 def)
% 0.19/0.61  %            Number of atoms       :    8 (   0 equ)
% 0.19/0.61  %            Maximal formula atoms :    4 (   2 avg)
% 0.19/0.61  %            Number of connectives :    9 (   4   ~;   0   |;   3   &)
% 0.19/0.61  %                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
% 0.19/0.61  %            Maximal formula depth :    5 (   4 avg)
% 0.19/0.61  %            Maximal term depth    :    1 (   1 avg)
% 0.19/0.61  %            Number of predicates  :    4 (   4 usr;   0 prp; 1-1 aty)
% 0.19/0.61  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.19/0.61  %            Number of variables   :    4 (   4   !;   0   ?)
% 0.19/0.61  % SPC      : FOF_THM_EPR_NEQ
% 0.19/0.61  
% 0.19/0.61  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.19/0.61  %            datatypes, so this problem may not be perfect. At least it's
% 0.19/0.61  %            still representative of the type of reasoning required for OWL.
% 0.19/0.61  %------------------------------------------------------------------------------
% 0.19/0.61  %----Thing and Nothing
% 0.19/0.61  fof(axiom_0,axiom,
% 0.19/0.61      ! [X] :
% 0.19/0.61        ( cowlThing(X)
% 0.19/0.61        & ~ cowlNothing(X) ) ).
% 0.19/0.61  
% 0.19/0.61  %----String and Integer disjoint
% 0.57/0.61  fof(axiom_1,axiom,
% 0.57/0.61      ! [X] :
% 0.57/0.61        ( xsd_string(X)
% 0.57/0.61      <=> ~ xsd_integer(X) ) ).
% 0.57/0.61  
% 0.57/0.61  %----Thing and Nothing
% 0.57/0.61  %----String and Integer disjoint
% 0.57/0.61  fof(the_axiom,conjecture,
% 0.57/0.61      ( ! [X] :
% 0.57/0.61          ( cowlThing(X)
% 0.57/0.61          & ~ cowlNothing(X) )
% 0.57/0.61      & ! [X] :
% 0.57/0.61          ( xsd_string(X)
% 0.57/0.61        <=> ~ xsd_integer(X) ) ) ).
% 0.57/0.61  
% 0.57/0.61  %------------------------------------------------------------------------------
% 0.57/0.61  %-------------------------------------------
% 0.57/0.61  % Proof found
% 0.57/0.61  % SZS status Theorem for theBenchmark
% 0.57/0.61  % SZS output start Proof
% 0.57/0.61  %ClaNum:5(EqnAxiom:0)
% 0.57/0.61  %VarNum:5(SingletonVarNum:3)
% 0.57/0.61  %MaxLitNum:3
% 0.57/0.61  %MaxfuncDepth:0
% 0.57/0.61  %SharedTerms:7
% 0.57/0.61  %goalClause: 3 4
% 0.57/0.61  [1]~P1(x11)
% 0.57/0.61  [2]P3(x21)+P2(x21)
% 0.57/0.61  [5]~P3(x51)+~P2(x51)
% 0.57/0.61  [3]P1(a1)+P2(a2)+~P3(a2)
% 0.57/0.61  [4]P1(a1)+P3(a2)+~P2(a2)
% 0.57/0.61  %EqnAxiom
% 0.57/0.61  
% 0.57/0.61  %-------------------------------------------
% 0.57/0.61  cnf(7,plain,
% 0.57/0.61     (~P1(x71)),
% 0.57/0.61     inference(rename_variables,[],[1])).
% 0.57/0.61  cnf(11,plain,
% 0.57/0.61     (~P3(a2)),
% 0.57/0.61     inference(scs_inference,[],[1,7,3,4,5])).
% 0.57/0.61  cnf(12,plain,
% 0.57/0.61     (~P2(a2)),
% 0.57/0.61     inference(scs_inference,[],[1,11,4])).
% 0.57/0.61  cnf(13,plain,
% 0.57/0.61     ($false),
% 0.57/0.61     inference(scs_inference,[],[11,12,2]),
% 0.57/0.61     ['proof']).
% 0.57/0.61  % SZS output end Proof
% 0.57/0.61  % Total time :0.000000s
%------------------------------------------------------------------------------