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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV023+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:46:27 PM UTC 2026

% Result   : Theorem 0.09s 0.41s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   37 (  12 equ)
%            Maximal formula atoms :   11 (   5 avg)
%            Number of connectives :   39 (   9   ~;   6   |;  16   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-3 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,conjecture,
    ( ( ! [C] :
          ( ( leq(C,n3)
            & leq(n0,C) )
         => a_select2(s_values7_init,C) = init )
      & ! [A] :
          ( ( leq(A,n2)
            & leq(n0,A) )
         => ! [B] :
              ( ( leq(B,n3)
                & leq(n0,B) )
             => a_select3(simplex7_init,B,A) = init ) )
      & sigma_init = init
      & i0_init = init )
   => true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ~ ( ( ! [C] :
            ( ( leq(C,n3)
              & leq(n0,C) )
           => a_select2(s_values7_init,C) = init )
        & ! [A] :
            ( ( leq(A,n2)
              & leq(n0,A) )
           => ! [B] :
                ( ( leq(B,n3)
                  & leq(n0,B) )
               => a_select3(simplex7_init,B,A) = init ) )
        & sigma_init = init
        & i0_init = init )
     => true ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f242,plain,
    true,
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f244,plain,
    ( ~ true
    & ! [C] :
        ( a_select2(s_values7_init,C) = init
        | ~ leq(C,n3)
        | ~ leq(n0,C) )
    & ! [A] :
        ( ! [B] :
            ( a_select3(simplex7_init,B,A) = init
            | ~ leq(B,n3)
            | ~ leq(n0,B) )
        | ~ leq(A,n2)
        | ~ leq(n0,A) )
    & sigma_init = init
    & i0_init = init ),
    inference(pre_NNF_transformation,[status(thm)],[f54]) ).

fof(f249,plain,
    ~ true,
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f327,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f242,f249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV023+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n005.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 08:28:03 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.39  % Drodi V4.1.1
% 0.09/0.41  % Refutation found
% 0.09/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44  % Elapsed time: 0.061025 seconds
% 0.09/0.44  % CPU time: 0.140862 seconds
% 0.09/0.44  % Total memory used: 57.590 MB
% 0.09/0.44  % Net memory used: 57.505 MB
%------------------------------------------------------------------------------