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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWC151+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 04:11:29 PM UTC 2025

% Result   : Theorem 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   23 (   6 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   23 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,plain,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( ssList(X)
                 => ( V != X
                    | U != W
                    | ~ totalorderP(V)
                    | totalorderP(X) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(co1_negated,plain,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( V != X
                      | U != W
                      | ~ totalorderP(V)
                      | totalorderP(X) ) ) ) ) ),
    inference(negate_conjecture,[status(cth)],[co1]) ).

cnf(192,plain,
    sK56 = sK58,
    inference(cnf,[status(esa)],[co1_negated]) ).

cnf(l0,plain,
    sK56 = sK58,
    inference(instantiation,[status(thm)],[192]) ).

cnf(194,plain,
    totalorderP(sK56),
    inference(cnf,[status(esa)],[co1_negated]) ).

cnf(l2,plain,
    totalorderP(sK56),
    inference(instantiation,[status(thm)],[194]) ).

cnf(195,plain,
    ~ totalorderP(sK58),
    inference(cnf,[status(esa)],[co1_negated]) ).

cnf(l3,plain,
    ~ totalorderP(sK58),
    inference(instantiation,[status(thm)],[195]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l2,l3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC151+1 : TPTP v9.0.0. Released v2.4.0.
% 0.03/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n021.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 : Tue Jul 22 05:44:19 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 3
% 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: 7
% 0.13/0.34  % launching worker at depth: 8
% 0.19/0.35  % launching worker at depth: 9
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------