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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV176+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 04:46:13 PM UTC 2025

% Result   : Theorem 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   91 (  22 equ)
%            Maximal formula atoms :   37 (   7 avg)
%            Number of connectives :   87 (   9   ~;   6   |;  44   &)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  17 con; 0-3 aty)
%            Number of variables   :   21 (   0 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0056,plain,
    ( ( leq(n0,pv40)
      & leq(n0,pv44)
      & leq(pv40,n4)
      & leq(pv44,n135299)
      & gt(loopcounter,n1)
      & ! [A] :
          ( ( leq(n0,A)
            & leq(A,n135299) )
         => ! [B] :
              ( ( leq(n0,B)
                & leq(B,n4) )
             => a_select3(q_init,A,B) = init ) )
      & ! [C] :
          ( ( leq(n0,C)
            & leq(C,n4) )
         => a_select2(rho_init,C) = init )
      & ! [D] :
          ( ( leq(n0,D)
            & leq(D,pred(pv40)) )
         => a_select2(mu_init,D) = init )
      & ! [E] :
          ( ( leq(n0,E)
            & leq(E,pred(pv40)) )
         => a_select2(sigma_init,E) = init )
      & ! [F] :
          ( ( leq(n0,F)
            & leq(F,n4) )
         => a_select3(center_init,F,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [G] :
            ( ( leq(n0,G)
              & leq(G,n4) )
           => a_select2(muold_init,G) = init ) )
      & ( gt(loopcounter,n1)
       => ! [H] :
            ( ( leq(n0,H)
              & leq(H,n4) )
           => a_select2(rhoold_init,H) = init ) )
      & ( gt(loopcounter,n1)
       => ! [I] :
            ( ( leq(n0,I)
              & leq(I,n4) )
           => a_select2(sigmaold_init,I) = init ) ) )
   => ! [J] :
        ( ( leq(n0,J)
          & leq(J,n4) )
       => a_select2(muold_init,J) = init ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0056) ).

fof(cl5_nebula_init_0056_negated,plain,
    ~ ( ( leq(n0,pv40)
        & leq(n0,pv44)
        & leq(pv40,n4)
        & leq(pv44,n135299)
        & gt(loopcounter,n1)
        & ! [A] :
            ( ( leq(n0,A)
              & leq(A,n135299) )
           => ! [B] :
                ( ( leq(n0,B)
                  & leq(B,n4) )
               => a_select3(q_init,A,B) = init ) )
        & ! [C] :
            ( ( leq(n0,C)
              & leq(C,n4) )
           => a_select2(rho_init,C) = init )
        & ! [D] :
            ( ( leq(n0,D)
              & leq(D,pred(pv40)) )
           => a_select2(mu_init,D) = init )
        & ! [E] :
            ( ( leq(n0,E)
              & leq(E,pred(pv40)) )
           => a_select2(sigma_init,E) = init )
        & ! [F] :
            ( ( leq(n0,F)
              & leq(F,n4) )
           => a_select3(center_init,F,n0) = init )
        & ( gt(loopcounter,n1)
         => ! [G] :
              ( ( leq(n0,G)
                & leq(G,n4) )
             => a_select2(muold_init,G) = init ) )
        & ( gt(loopcounter,n1)
         => ! [H] :
              ( ( leq(n0,H)
                & leq(H,n4) )
             => a_select2(rhoold_init,H) = init ) )
        & ( gt(loopcounter,n1)
         => ! [I] :
              ( ( leq(n0,I)
                & leq(I,n4) )
             => a_select2(sigmaold_init,I) = init ) ) )
     => ! [J] :
          ( ( leq(n0,J)
            & leq(J,n4) )
         => a_select2(muold_init,J) = init ) ),
    inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0056]) ).

cnf(125,plain,
    ( ~ gt(loopcounter,n1)
    | ~ leq(X0,n4)
    | ~ leq(n0,X0)
    | a_select2(muold_init,X0) = init ),
    inference(cnf,[status(esa)],[cl5_nebula_init_0056_negated]) ).

cnf(l0,plain,
    ( ~ gt(loopcounter,n1)
    | ~ leq(sK28,n4)
    | ~ leq(n0,sK28)
    | a_select2(muold_init,sK28) = init ),
    inference(instantiation,[status(thm)],[125]) ).

cnf(129,plain,
    leq(sK28,n4),
    inference(cnf,[status(esa)],[cl5_nebula_init_0056_negated]) ).

cnf(l4,plain,
    leq(sK28,n4),
    inference(instantiation,[status(thm)],[129]) ).

cnf(128,plain,
    leq(n0,sK28),
    inference(cnf,[status(esa)],[cl5_nebula_init_0056_negated]) ).

cnf(l6,plain,
    leq(n0,sK28),
    inference(instantiation,[status(thm)],[128]) ).

cnf(130,plain,
    a_select2(muold_init,sK28) != init,
    inference(cnf,[status(esa)],[cl5_nebula_init_0056_negated]) ).

cnf(l3,plain,
    a_select2(muold_init,sK28) != init,
    inference(instantiation,[status(thm)],[130]) ).

cnf(119,plain,
    gt(loopcounter,n1),
    inference(cnf,[status(esa)],[cl5_nebula_init_0056_negated]) ).

cnf(l1,plain,
    gt(loopcounter,n1),
    inference(instantiation,[status(thm)],[119]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l4,l6,l3,l1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV176+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.04/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n017.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 : Tue Jul 22 08:23:19 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 8
% 0.18/0.36  % SZS status Theorem for theBenchmark
% 0.18/0.36  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------