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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : KRS170+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/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 10:08:46 EDT 2024

% Result   : Theorem 0.53s 0.63s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : KRS170+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n006.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   : Wed Jun 19 13:54:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 0.53/0.62  %-------------------------------------------
% 0.53/0.62  % File        :CSE---1.7
% 0.53/0.62  % Problem     :theBenchmark
% 0.53/0.62  % Transform   :cnf
% 0.53/0.62  % Format      :tptp:raw
% 0.53/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.53/0.62  
% 0.53/0.62  % Result      :Theorem 0.010000s
% 0.53/0.62  % Output      :CNFRefutation 0.010000s
% 0.53/0.62  %-------------------------------------------
% 0.53/0.63  %------------------------------------------------------------------------------
% 0.53/0.63  % File     : KRS170+1 : TPTP v8.2.0. Released v3.1.0.
% 0.53/0.63  % Domain   : Knowledge Representation (Semantic Web)
% 0.53/0.63  % Problem  : Deduction from hasLeader
% 0.53/0.63  % Version  : Especial.
% 0.53/0.63  % English  : A reasoner can also deduce that hasLeader is a subProperty of
% 0.53/0.63  %            hasHead and hasHead is a subProperty of hasLeader.
% 0.53/0.63  
% 0.53/0.63  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.53/0.63  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.53/0.63  % Source   : [Bec03]
% 0.53/0.63  % Names    : positive_equivalentProperty-Manifest002 [Bec03]
% 0.53/0.63  
% 0.53/0.63  % Status   : Theorem
% 0.53/0.63  % Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.1.0
% 0.53/0.63  % Syntax   : Number of formulae    :    4 (   0 unt;   0 def)
% 0.53/0.63  %            Number of atoms       :   14 (   0 equ)
% 0.53/0.63  %            Maximal formula atoms :    8 (   3 avg)
% 0.53/0.63  %            Number of connectives :   14 (   4   ~;   0   |;   5   &)
% 0.53/0.63  %                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
% 0.53/0.63  %            Maximal formula depth :    7 (   5 avg)
% 0.53/0.63  %            Maximal term depth    :    1 (   1 avg)
% 0.53/0.63  %            Number of predicates  :    6 (   6 usr;   0 prp; 1-2 aty)
% 0.53/0.63  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.53/0.63  %            Number of variables   :   10 (  10   !;   0   ?)
% 0.53/0.63  % SPC      : FOF_THM_EPR_NEQ
% 0.53/0.63  
% 0.53/0.63  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.53/0.63  %            datatypes, so this problem may not be perfect. At least it's
% 0.53/0.63  %            still representative of the type of reasoning required for OWL.
% 0.53/0.63  %------------------------------------------------------------------------------
% 0.53/0.63  %----Thing and Nothing
% 0.53/0.63  fof(axiom_0,axiom,
% 0.53/0.63      ! [X] :
% 0.53/0.63        ( cowlThing(X)
% 0.53/0.63        & ~ cowlNothing(X) ) ).
% 0.53/0.63  
% 0.53/0.63  %----String and Integer disjoint
% 0.53/0.63  fof(axiom_1,axiom,
% 0.53/0.63      ! [X] :
% 0.53/0.63        ( xsd_string(X)
% 0.53/0.63      <=> ~ xsd_integer(X) ) ).
% 0.53/0.63  
% 0.53/0.63  fof(axiom_2,axiom,
% 0.53/0.63      ! [X,Y] :
% 0.53/0.63        ( rhasLeader(X,Y)
% 0.53/0.63      <=> rhasHead(X,Y) ) ).
% 0.53/0.63  
% 0.53/0.63  %----Thing and Nothing
% 0.53/0.63  %----String and Integer disjoint
% 0.53/0.63  fof(the_axiom,conjecture,
% 0.53/0.63      ( ! [X] :
% 0.53/0.63          ( cowlThing(X)
% 0.53/0.63          & ~ cowlNothing(X) )
% 0.53/0.63      & ! [X] :
% 0.53/0.63          ( xsd_string(X)
% 0.53/0.63        <=> ~ xsd_integer(X) )
% 0.53/0.63      & ! [X,Y] :
% 0.53/0.63          ( rhasLeader(X,Y)
% 0.53/0.63         => rhasHead(X,Y) )
% 0.53/0.63      & ! [X,Y] :
% 0.53/0.63          ( rhasHead(X,Y)
% 0.53/0.63         => rhasLeader(X,Y) ) ) ).
% 0.53/0.63  
% 0.53/0.63  %------------------------------------------------------------------------------
% 0.53/0.63  %-------------------------------------------
% 0.53/0.63  % Proof found
% 0.53/0.63  % SZS status Theorem for theBenchmark
% 0.53/0.63  % SZS output start Proof
% 0.53/0.63  %ClaNum:13(EqnAxiom:0)
% 0.53/0.63  %VarNum:13(SingletonVarNum:7)
% 0.53/0.63  %MaxLitNum:5
% 0.53/0.63  %MaxfuncDepth:0
% 0.53/0.63  %SharedTerms:15
% 0.53/0.63  %goalClause: 4 5 8 9 10 11 12 13
% 0.53/0.63  [1]~P1(x11)
% 0.53/0.63  [2]P3(x21)+P2(x21)
% 0.53/0.63  [3]~P3(x31)+~P2(x31)
% 0.53/0.63  [6]~P5(x61,x62)+P4(x61,x62)
% 0.53/0.63  [7]~P4(x71,x72)+P5(x71,x72)
% 0.53/0.63  [4]P1(a1)+P2(a2)+P4(a3,a4)+P5(a5,a6)+~P3(a2)
% 0.53/0.63  [5]P4(a3,a4)+P5(a5,a6)+P1(a1)+P3(a2)+~P2(a2)
% 0.53/0.63  [8]P4(a3,a4)+P1(a1)+P2(a2)+~P3(a2)+~P4(a5,a6)
% 0.53/0.63  [9]P5(a5,a6)+P1(a1)+P2(a2)+~P3(a2)+~P5(a3,a4)
% 0.53/0.63  [10]P4(a3,a4)+~P4(a5,a6)+P1(a1)+P3(a2)+~P2(a2)
% 0.53/0.63  [11]P5(a5,a6)+~P5(a3,a4)+P1(a1)+P3(a2)+~P2(a2)
% 0.53/0.63  [12]~P4(a5,a6)+~P5(a3,a4)+P1(a1)+P2(a2)+~P3(a2)
% 0.53/0.63  [13]~P4(a5,a6)+~P5(a3,a4)+P1(a1)+P3(a2)+~P2(a2)
% 0.53/0.63  %EqnAxiom
% 0.53/0.63  
% 0.53/0.63  %-------------------------------------------
% 0.55/0.63  cnf(18,plain,
% 0.55/0.63     (P4(a3,a4)+P5(a5,a6)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[1,4])).
% 0.55/0.63  cnf(19,plain,
% 0.55/0.63     (P4(a3,a4)+P5(a5,a6)+P3(a2)+~P2(a2)),
% 0.55/0.63     inference(scs_inference,[],[1,5])).
% 0.55/0.63  cnf(20,plain,
% 0.55/0.63     (P4(a3,a4)+~P4(a5,a6)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[1,8])).
% 0.55/0.63  cnf(21,plain,
% 0.55/0.63     (P5(a5,a6)+~P5(a3,a4)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[1,9])).
% 0.55/0.63  cnf(22,plain,
% 0.55/0.63     (P4(a3,a4)+~P4(a5,a6)+P3(a2)+~P2(a2)),
% 0.55/0.63     inference(scs_inference,[],[1,10])).
% 0.55/0.63  cnf(23,plain,
% 0.55/0.63     (P5(a5,a6)+~P5(a3,a4)+P3(a2)+~P2(a2)),
% 0.55/0.63     inference(scs_inference,[],[1,11])).
% 0.55/0.63  cnf(24,plain,
% 0.55/0.63     (~P4(a5,a6)+~P5(a3,a4)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[1,12])).
% 0.55/0.63  cnf(25,plain,
% 0.55/0.63     (~P4(a5,a6)+~P5(a3,a4)+P3(a2)+~P2(a2)),
% 0.55/0.63     inference(scs_inference,[],[1,13])).
% 0.55/0.63  cnf(29,plain,
% 0.55/0.63     (P4(a3,a4)+P5(a5,a6)+P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[2,19])).
% 0.55/0.63  cnf(30,plain,
% 0.55/0.63     (P5(a3,a4)+P5(a5,a6)+P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[29,7])).
% 0.55/0.63  cnf(31,plain,
% 0.55/0.63     (P4(a5,a6)+P5(a3,a4)+P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[30,6])).
% 0.55/0.63  cnf(32,plain,
% 0.55/0.63     (~P2(a2)+P4(a5,a6)+P5(a3,a4)),
% 0.55/0.63     inference(scs_inference,[],[31,3])).
% 0.55/0.63  cnf(33,plain,
% 0.55/0.63     (P5(a5,a6)+P4(a3,a4)+P2(a2)),
% 0.55/0.63     inference(scs_inference,[],[2,18])).
% 0.55/0.63  cnf(34,plain,
% 0.55/0.63     (P5(a3,a4)+P5(a5,a6)+P2(a2)),
% 0.55/0.63     inference(scs_inference,[],[33,7])).
% 0.55/0.63  cnf(35,plain,
% 0.55/0.63     (P4(a5,a6)+P5(a3,a4)+P2(a2)),
% 0.55/0.63     inference(scs_inference,[],[34,6])).
% 0.55/0.63  cnf(36,plain,
% 0.55/0.63     (P4(a5,a6)+P5(a3,a4)),
% 0.55/0.63     inference(scs_inference,[],[35,32])).
% 0.55/0.63  cnf(37,plain,
% 0.55/0.63     (P5(a5,a6)+P5(a3,a4)),
% 0.55/0.63     inference(scs_inference,[],[36,7])).
% 0.55/0.63  cnf(38,plain,
% 0.55/0.63     (P4(a3,a4)+P5(a5,a6)),
% 0.55/0.63     inference(scs_inference,[],[37,6])).
% 0.55/0.63  cnf(39,plain,
% 0.55/0.63     (P4(a5,a6)+P4(a3,a4)),
% 0.55/0.63     inference(scs_inference,[],[38,6])).
% 0.55/0.63  cnf(40,plain,
% 0.55/0.63     (P4(a3,a4)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[39,20])).
% 0.55/0.63  cnf(41,plain,
% 0.55/0.63     (P5(a3,a4)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[40,7])).
% 0.55/0.63  cnf(42,plain,
% 0.55/0.63     (~P4(a5,a6)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[41,24])).
% 0.55/0.63  cnf(43,plain,
% 0.55/0.63     (~P5(a5,a6)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[42,6])).
% 0.55/0.63  cnf(44,plain,
% 0.55/0.63     (~P5(a3,a4)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[43,21])).
% 0.55/0.63  cnf(45,plain,
% 0.55/0.63     (P4(a5,a6)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[44,36])).
% 0.55/0.63  cnf(46,plain,
% 0.55/0.63     (P5(a5,a6)+P2(a2)+~P3(a2)),
% 0.55/0.63     inference(scs_inference,[],[45,7])).
% 0.55/0.64  cnf(47,plain,
% 0.55/0.64     (P2(a2)+~P3(a2)),
% 0.55/0.64     inference(scs_inference,[],[46,43])).
% 0.55/0.64  cnf(48,plain,
% 0.55/0.64     (~P3(a2)),
% 0.55/0.64     inference(scs_inference,[],[47,3])).
% 0.55/0.64  cnf(49,plain,
% 0.55/0.64     (P4(a3,a4)+~P4(a5,a6)+~P2(a2)),
% 0.55/0.64     inference(scs_inference,[],[48,22])).
% 0.55/0.64  cnf(50,plain,
% 0.55/0.64     (P5(a5,a6)+~P5(a3,a4)+~P2(a2)),
% 0.55/0.64     inference(scs_inference,[],[48,23])).
% 0.55/0.64  cnf(51,plain,
% 0.55/0.64     (~P4(a5,a6)+~P5(a3,a4)+~P2(a2)),
% 0.55/0.64     inference(scs_inference,[],[48,25])).
% 0.55/0.64  cnf(53,plain,
% 0.55/0.64     (P4(a5,a6)+~P5(a3,a4)+~P2(a2)),
% 0.55/0.64     inference(scs_inference,[],[50,6])).
% 0.55/0.64  cnf(59,plain,
% 0.55/0.64     (P4(a3,a4)+~P4(a5,a6)),
% 0.55/0.64     inference(scs_inference,[],[48,2,49])).
% 0.55/0.64  cnf(60,plain,
% 0.55/0.64     (P5(a3,a4)+~P4(a5,a6)),
% 0.55/0.64     inference(scs_inference,[],[59,7])).
% 0.55/0.64  cnf(61,plain,
% 0.55/0.64     (~P4(a5,a6)+~P2(a2)),
% 0.55/0.64     inference(scs_inference,[],[60,51])).
% 0.55/0.64  cnf(66,plain,
% 0.55/0.64     (~P4(a5,a6)),
% 0.55/0.64     inference(scs_inference,[],[48,2,61])).
% 0.55/0.64  cnf(67,plain,
% 0.55/0.64     (P5(a3,a4)),
% 0.55/0.64     inference(scs_inference,[],[66,36])).
% 0.55/0.64  cnf(68,plain,
% 0.55/0.64     (~P5(a3,a4)+~P2(a2)),
% 0.55/0.64     inference(scs_inference,[],[66,53])).
% 0.55/0.64  cnf(73,plain,
% 0.55/0.64     ($false),
% 0.55/0.64     inference(scs_inference,[],[67,48,68,2]),
% 0.55/0.64     ['proof']).
% 0.55/0.64  % SZS output end Proof
% 0.55/0.64  % Total time :0.010000s
%------------------------------------------------------------------------------