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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV402+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n024.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 04:46:51 PM UTC 2025

% Result   : Theorem 0.08s 0.29s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   4 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l38_co,plain,
    ! [U,V,W,X] :
      ( ( pair_in_list(create_slb,V,W)
        & strictly_less_than(W,X) )
     => pair_in_list(update_slb(create_slb,X),V,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l38_co) ).

fof(l38_co_negated,plain,
    ~ ! [U,V,W,X] :
        ( ( pair_in_list(create_slb,V,W)
          & strictly_less_than(W,X) )
       => pair_in_list(update_slb(create_slb,X),V,X) ),
    inference(negate_conjecture,[status(cth)],[l38_co]) ).

cnf(25,plain,
    pair_in_list(create_slb,sK2,sK3),
    inference(cnf,[status(esa)],[l38_co_negated]) ).

cnf(l0,plain,
    pair_in_list(create_slb,sK2,sK3),
    inference(instantiation,[status(thm)],[25]) ).

fof(ax22,plain,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    file('Axioms/SWV007+2.ax',ax22) ).

cnf(13,plain,
    ~ pair_in_list(create_slb,X0,X1),
    inference(cnf,[status(esa)],[ax22]) ).

cnf(l1,plain,
    ~ pair_in_list(create_slb,sK2,sK3),
    inference(instantiation,[status(thm)],[13]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : SWV402+1 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.09  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29  % Computer : n024.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Tue Jul 22 09:10:19 EDT 2025
% 0.08/0.29  % CPUTime  : 
% 0.08/0.29  % launching worker at depth: 1
% 0.08/0.29  % launching worker at depth: 8
% 0.08/0.29  % launching worker at depth: 2
% 0.08/0.29  % launching worker at depth: 6
% 0.08/0.29  % launching worker at depth: 3
% 0.08/0.29  % launching worker at depth: % SZS status Theorem for theBenchmark
% 0.08/0.29  % SZS output start CNFRefutation
% See solution above
% 0.08/0.29  4
%------------------------------------------------------------------------------