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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SEV644+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.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 02:33:07 PM UTC 2026

% Result   : Theorem 162.24s 162.52s
% Output   : CNFRefutation 162.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   1 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   25 (   8   ~;   6   |;   5   &)
%                                         (   3 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    4 (   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2364,conjecture,
    ! [V0__P] :
      ( cProp___24t(V0__P)
     => ( p(V0__P)
      <=> p(V0__P) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2365,negated_conjecture,
    ~ ! [V0__P] :
        ( cProp___24t(V0__P)
       => ( p(V0__P)
        <=> p(V0__P) ) ),
    inference(negated_conjecture,[status(cth)],[f2364]) ).

fof(f10940,plain,
    ? [V0__P] :
      ( ( p(V0__P)
      <~> p(V0__P) )
      & cProp___24t(V0__P) ),
    inference(pre_NNF_transformation,[status(thm)],[f2365]) ).

fof(f10941,plain,
    ? [V0__P] :
      ( ( ~ p(V0__P)
        | ~ p(V0__P) )
      & ( p(V0__P)
        | p(V0__P) )
      & cProp___24t(V0__P) ),
    inference(NNF_transformation,[status(thm)],[f10940]) ).

fof(f10942,plain,
    ( ( ~ p(sK894_skl)
      | ~ p(sK894_skl) )
    & ( p(sK894_skl)
      | p(sK894_skl) )
    & cProp___24t(sK894_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK894_skl]),skolemize(V0__P,sK894_skl)],[f10941]) ).

fof(f10944,plain,
    ( p(sK894_skl)
    | p(sK894_skl) ),
    inference(cnf_transformation,[status(thm)],[f10942]) ).

fof(f10945,plain,
    ( ~ p(sK894_skl)
    | ~ p(sK894_skl) ),
    inference(cnf_transformation,[status(thm)],[f10942]) ).

fof(f16138,definition,
    ( sQ52_spl
  <=> p(sK894_skl) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f16141,plain,
    sQ52_spl,
    inference(split_clause,[status(thm)],[f10944,f16138]) ).

fof(f16142,plain,
    ~ sQ52_spl,
    inference(split_clause,[status(thm)],[f10945,f16138]) ).

fof(f16666,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f16141,f16142]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV644+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n014.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 07:31:35 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 162.15/162.45  % Drodi V4.1.1
% 162.24/162.52  % Refutation found
% 162.24/162.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 162.24/162.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 162.35/162.72  % Elapsed time: 162.325568 seconds
% 162.35/162.72  % CPU time: 162.469082 seconds
% 162.35/162.72  % Total memory used: 1.040 GB
% 162.35/162.72  % Net memory used: 1.039 GB
%------------------------------------------------------------------------------