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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SYO580+1 : TPTP v9.0.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n021.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 : Fri Jul 25 09:59:01 PM UTC 2025

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   1 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   72 (  26   ~;  25   |;  10   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   21 (   0 sgn  11   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals_886,plain,
    ( ! [X1055] :
        ( b48_buttercup10305(X1055)
      <=> k04_buttercup10303(X1055) )
    | ( ! [X1056] :
          ( k04_buttercup10303(X1056)
         => b48_buttercup10305(X1056) )
      & ? [X1057] :
          ( b48_buttercup10305(X1057)
          & ~ k04_buttercup10303(X1057) ) )
    | ( ! [X1058] :
          ( b48_buttercup10305(X1058)
         => k04_buttercup10303(X1058) )
      & ? [X1059] :
          ( k04_buttercup10303(X1059)
          & ~ b48_buttercup10305(X1059) ) )
    | ! [X1060] :
        ( b48_buttercup10305(X1060)
       => ~ k04_buttercup10303(X1060) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).

fof(goals_886_negated,plain,
    ~ ( ! [X1055] :
          ( b48_buttercup10305(X1055)
        <=> k04_buttercup10303(X1055) )
      | ( ! [X1056] :
            ( k04_buttercup10303(X1056)
           => b48_buttercup10305(X1056) )
        & ? [X1057] :
            ( b48_buttercup10305(X1057)
            & ~ k04_buttercup10303(X1057) ) )
      | ( ! [X1058] :
            ( b48_buttercup10305(X1058)
           => k04_buttercup10303(X1058) )
        & ? [X1059] :
            ( k04_buttercup10303(X1059)
            & ~ b48_buttercup10305(X1059) ) )
      | ! [X1060] :
          ( b48_buttercup10305(X1060)
         => ~ k04_buttercup10303(X1060) ) ),
    inference(negate_conjecture,[status(cth)],[goals_886]) ).

cnf(1305,plain,
    ( b48_buttercup10305(sK511)
    | k04_buttercup10303(sK511) ),
    inference(cnf,[status(esa)],[goals_886_negated]) ).

cnf(l0,plain,
    ( b48_buttercup10305(sK511)
    | k04_buttercup10303(sK511) ),
    inference(instantiation,[status(thm)],[1305]) ).

fof(sos_132,plain,
    ! [X131] :
      ( b48_buttercup10305(X131)
     => b48_buttercup10300(X131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_132) ).

cnf(131,plain,
    ( ~ b48_buttercup10305(X0)
    | b48_buttercup10300(X0) ),
    inference(cnf,[status(esa)],[sos_132]) ).

cnf(l1,plain,
    ( ~ b48_buttercup10305(sK511)
    | b48_buttercup10300(sK511) ),
    inference(instantiation,[status(thm)],[131]) ).

fof(sos_322,plain,
    ! [X322] :
      ( k04_buttercup10303(X322)
    <=> b48_buttercup10300(X322) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_322) ).

cnf(325,plain,
    ( ~ b48_buttercup10300(X0)
    | k04_buttercup10303(X0) ),
    inference(cnf,[status(esa)],[sos_322]) ).

cnf(l3,plain,
    ( ~ b48_buttercup10300(sK511)
    | k04_buttercup10303(sK511) ),
    inference(instantiation,[status(thm)],[325]) ).

cnf(1306,plain,
    ( ~ b48_buttercup10305(sK511)
    | ~ k04_buttercup10303(sK511) ),
    inference(cnf,[status(esa)],[goals_886_negated]) ).

cnf(l2,plain,
    ( ~ b48_buttercup10305(sK511)
    | ~ k04_buttercup10303(sK511) ),
    inference(instantiation,[status(thm)],[1306]) ).

cnf(1309,plain,
    ( ~ k04_buttercup10303(X0)
    | b48_buttercup10305(X0)
    | b48_buttercup10305(sK513) ),
    inference(cnf,[status(esa)],[goals_886_negated]) ).

cnf(l6,plain,
    ( ~ k04_buttercup10303(sK511)
    | b48_buttercup10305(sK511)
    | b48_buttercup10305(sK513) ),
    inference(instantiation,[status(thm)],[1309]) ).

fof(sos_320,plain,
    ( ! [X319] :
        ( b48_buttercup10305(X319)
       => k04_buttercup10303(X319) )
    & ? [X320] :
        ( k04_buttercup10303(X320)
        & ~ b48_buttercup10305(X320) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).

cnf(319,plain,
    ( ~ b48_buttercup10305(X0)
    | k04_buttercup10303(X0) ),
    inference(cnf,[status(esa)],[sos_320]) ).

cnf(l8,plain,
    ( ~ b48_buttercup10305(sK513)
    | k04_buttercup10303(sK513) ),
    inference(instantiation,[status(thm)],[319]) ).

cnf(1310,plain,
    ( ~ k04_buttercup10303(X0)
    | ~ k04_buttercup10303(sK513)
    | b48_buttercup10305(X0) ),
    inference(cnf,[status(esa)],[goals_886_negated]) ).

cnf(l10,plain,
    ( ~ k04_buttercup10303(sK511)
    | ~ k04_buttercup10303(sK513)
    | b48_buttercup10305(sK511) ),
    inference(instantiation,[status(thm)],[1310]) ).

cnf(l5,plain,
    ( ~ b48_buttercup10305(sK511)
    | ~ k04_buttercup10303(sK511) ),
    inference(instantiation,[status(thm)],[1306]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l6,l8,l10,l5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO580+1 : TPTP v9.0.0. Released v5.5.0.
% 0.07/0.13  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n021.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 : Tue Jul 22 19:37:19 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % launching worker at depth: 6
% 0.13/0.36  % launching worker at depth: 7
% 0.13/0.36  % launching worker at depth: 1
% 0.13/0.36  % launching worker at depth: 3
% 0.13/0.36  % launching worker at depth: 5
% 0.13/0.36  % launching worker at depth: 4
% 0.13/0.36  % launching worker at depth: 2
% 0.13/0.36  % launching worker at depth: 8
% 0.13/0.36  % SZS status Theorem for theBenchmark
% 0.13/0.36  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------