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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : KRS139+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n022.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 Jul 24 08:46:44 PM UTC 2025

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   42 (  24 unt;   0 def)
%            Number of atoms       :   95 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   97 (  44   ~;  38   |;  11   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,plain,
    ( ! [X] :
        ( cowlThing(X)
        & ~ cowlNothing(X) )
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & cowlThing(iAntwerp)
    & rpath(iAntwerp,iGhent)
    & cowlThing(iGhent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(the_axiom_negated,plain,
    ~ ( ! [X] :
          ( cowlThing(X)
          & ~ cowlNothing(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & cowlThing(iAntwerp)
      & rpath(iAntwerp,iGhent)
      & cowlThing(iGhent) ),
    inference(negate_conjecture,[status(cth)],[the_axiom]) ).

% launching worker at depth: 9
cnf(8,plain,
    ( ~ cowlThing(sK1)
    | ~ cowlThing(iAntwerp)
    | ~ cowlThing(iGhent)
    | ~ xsd_integer(sK2)
    | ~ rpath(iAntwerp,iGhent)
    | cowlNothing(sK1)
    | xsd_string(sK2) ),
    inference(cnf,[status(esa)],[the_axiom_negated]) ).

cnf(l0,plain,
    ( ~ cowlThing(sK1)
    | ~ cowlThing(iAntwerp)
    | ~ cowlThing(iGhent)
    | ~ xsd_integer(sK2)
    | ~ rpath(iAntwerp,iGhent)
    | cowlNothing(sK1)
    | xsd_string(sK2) ),
    inference(instantiation,[status(thm)],[8]) ).

fof(axiom_4,plain,
    cowlThing(iGhent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

cnf(6,plain,
    cowlThing(iGhent),
    inference(cnf,[status(esa)],[axiom_4]) ).

cnf(l1,plain,
    cowlThing(iGhent),
    inference(instantiation,[status(thm)],[6]) ).

fof(axiom_0,plain,
    ! [X] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

cnf(0,plain,
    cowlThing(X0),
    inference(cnf,[status(esa)],[axiom_0]) ).

cnf(l2,plain,
    cowlThing(sK1),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l3,plain,
    cowlThing(iAntwerp),
    inference(instantiation,[status(thm)],[0]) ).

cnf(1,plain,
    ~ cowlNothing(X0),
    inference(cnf,[status(esa)],[axiom_0]) ).

cnf(l4,plain,
    ~ cowlNothing(sK1),
    inference(instantiation,[status(thm)],[1]) ).

fof(axiom_1,plain,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

cnf(3,plain,
    ( xsd_string(X0)
    | xsd_integer(X0) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

cnf(l5,plain,
    ( xsd_string(sK2)
    | xsd_integer(sK2) ),
    inference(instantiation,[status(thm)],[3]) ).

fof(axiom_2,plain,
    ! [X,Y] :
      ( rpath(X,Y)
     => rpath(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(4,plain,
    ( ~ rpath(X0,X1)
    | rpath(X1,X0) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

cnf(l6,plain,
    ( ~ rpath(iGhent,iAntwerp)
    | rpath(iAntwerp,iGhent) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(9,plain,
    ( ~ cowlThing(sK1)
    | ~ cowlThing(iAntwerp)
    | ~ cowlThing(iGhent)
    | ~ xsd_string(sK2)
    | ~ rpath(iAntwerp,iGhent)
    | cowlNothing(sK1)
    | xsd_integer(sK2) ),
    inference(cnf,[status(esa)],[the_axiom_negated]) ).

cnf(l7,plain,
    ( ~ cowlThing(sK1)
    | ~ cowlThing(iAntwerp)
    | ~ cowlThing(iGhent)
    | ~ xsd_string(sK2)
    | ~ rpath(iAntwerp,iGhent)
    | cowlNothing(sK1)
    | xsd_integer(sK2) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(l14,plain,
    cowlThing(iAntwerp),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l15,plain,
    ( ~ rpath(iGhent,iAntwerp)
    | rpath(iAntwerp,iGhent) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l16,plain,
    ~ cowlNothing(sK1),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l17,plain,
    cowlThing(sK1),
    inference(instantiation,[status(thm)],[0]) ).

fof(axiom_5,plain,
    rpath(iGhent,iAntwerp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

cnf(7,plain,
    rpath(iGhent,iAntwerp),
    inference(cnf,[status(esa)],[axiom_5]) ).

cnf(l11,plain,
    rpath(iGhent,iAntwerp),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l18,plain,
    rpath(iGhent,iAntwerp),
    inference(instantiation,[status(thm)],[7]) ).

cnf(2,plain,
    ( ~ xsd_string(X0)
    | ~ xsd_integer(X0) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

cnf(l8,plain,
    ( ~ xsd_string(sK2)
    | ~ xsd_integer(sK2) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l19,plain,
    cowlThing(iGhent),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l9,plain,
    ( ~ cowlThing(sK1)
    | ~ cowlThing(iAntwerp)
    | ~ cowlThing(iGhent)
    | ~ xsd_string(sK2)
    | ~ rpath(iAntwerp,iGhent)
    | cowlNothing(sK1)
    | xsd_integer(sK2) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(l20,plain,
    cowlThing(sK1),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l21,plain,
    ~ cowlNothing(sK1),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l22,plain,
    cowlThing(iGhent),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l23,plain,
    ( ~ rpath(iGhent,iAntwerp)
    | rpath(iAntwerp,iGhent) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l24,plain,
    rpath(iGhent,iAntwerp),
    inference(instantiation,[status(thm)],[7]) ).

fof(axiom_3,plain,
    cowlThing(iAntwerp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(5,plain,
    cowlThing(iAntwerp),
    inference(cnf,[status(esa)],[axiom_3]) ).

cnf(l25,plain,
    cowlThing(iAntwerp),
    inference(instantiation,[status(thm)],[5]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l14,l15,l16,l17,l11,l18,l8,l19,l9,l20,l21,l22,l23,l24,l25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS139+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n022.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 : Sun Jul 20 22:15:19 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 2
% 0.13/0.34  % launching worker at depth: 4
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------