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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : RNG073+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 02:04:52 PM UTC 2026

% Result   : Theorem 4.02s 6.19s
% Output   : CNFRefutation 4.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   99 (  23 unt;  15 def)
%            Number of atoms       :  251 (  21 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  261 ( 109   ~; 113   |;  15   &)
%                                         (  15 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  16 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W1)
        & aScalar0(W0) )
     => aScalar0(sdtpldt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W1)
        & aScalar0(W0) )
     => aScalar0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W1)
        & aScalar0(W0) )
     => ( ( sdtlseqdt0(W1,W0)
          & sdtlseqdt0(W0,W1) )
       => W0 = W1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [W0,W1,W2] :
      ( ( aScalar0(W2)
        & aScalar0(W1)
        & aScalar0(W0) )
     => ( ( sdtlseqdt0(W1,W2)
          & sdtlseqdt0(W0,W1) )
       => sdtlseqdt0(W0,W2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W1)
        & aScalar0(W0) )
     => ( sdtlseqdt0(W1,W0)
        | sdtlseqdt0(W0,W1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W1)
        & aScalar0(W0) )
     => ( ( sdtasdt0(W0,W0) = sdtasdt0(W1,W1)
          & sdtlseqdt0(sz0z00,W1)
          & sdtlseqdt0(sz0z00,W0) )
       => W0 = W1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f52,hypothesis,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,hypothesis,
    ( xP = sdtasdt0(xE,xH)
    & aScalar0(xP) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,hypothesis,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f59,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f60,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f62,hypothesis,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    & sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f63,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f64,conjecture,
    sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f65,negated_conjecture,
    sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
    inference(negated_conjecture,[status(cth)],[f64]) ).

fof(f86,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f87,plain,
    ! [W0,W1] :
      ( aScalar0(sdtpldt0(W0,W1))
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f89,plain,
    ! [W0,W1] :
      ( aScalar0(sdtasdt0(W0,W1))
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f121,plain,
    ! [W0,W1] :
      ( W0 = W1
      | ~ sdtlseqdt0(W1,W0)
      | ~ sdtlseqdt0(W0,W1)
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f21]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f121]) ).

fof(f123,plain,
    ! [W0,W1,W2] :
      ( sdtlseqdt0(W0,W2)
      | ~ sdtlseqdt0(W1,W2)
      | ~ sdtlseqdt0(W0,W1)
      | ~ aScalar0(W2)
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f22]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f123]) ).

fof(f129,plain,
    ! [W0,W1] :
      ( sdtlseqdt0(W1,W0)
      | sdtlseqdt0(W0,W1)
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f25]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f129]) ).

fof(f136,plain,
    ! [W0,W1] :
      ( W0 = W1
      | sdtasdt0(W0,W0) != sdtasdt0(W1,W1)
      | ~ sdtlseqdt0(sz0z00,W1)
      | ~ sdtlseqdt0(sz0z00,W0)
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f28]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( X0 = X1
      | sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f196,plain,
    aScalar0(xR),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f198,plain,
    aScalar0(xP),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f200,plain,
    aScalar0(xS),
    inference(cnf_transformation,[status(thm)],[f54]) ).

fof(f207,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f208,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f210,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
    inference(cnf_transformation,[status(thm)],[f62]) ).

fof(f212,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f213,plain,
    sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
    inference(cnf_transformation,[status(thm)],[f65]) ).

fof(f248,plain,
    ( sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
    | ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
    | ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
    inference(resolution,[status(thm)],[f122,f212]) ).

fof(f255,definition,
    ( sQ7_spl
  <=> aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f257,plain,
    ( sQ7_spl
    | ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
    inference(component_clause,[status(thm)],[f255]) ).

fof(f258,definition,
    ( sQ8_spl
  <=> aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f260,plain,
    ( sQ8_spl
    | ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
    inference(component_clause,[status(thm)],[f258]) ).

fof(f261,definition,
    ( sQ9_spl
  <=> sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f263,plain,
    ( sQ9_spl
    | ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
    inference(component_clause,[status(thm)],[f261]) ).

fof(f264,definition,
    ( sQ10_spl
  <=> sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f265,plain,
    ( ~ sQ10_spl
    | sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f267,plain,
    ( sQ10_spl
    | ~ sQ9_spl
    | ~ sQ8_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f248,f255,f258,f261,f264]) ).

fof(f272,definition,
    ( sQ12_spl
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f274,plain,
    ( sQ12_spl
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(component_clause,[status(thm)],[f272]) ).

fof(f275,definition,
    ( sQ13_spl
  <=> aScalar0(sz0z00) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f277,plain,
    ( sQ13_spl
    | ~ aScalar0(sz0z00) ),
    inference(component_clause,[status(thm)],[f275]) ).

fof(f278,definition,
    ( sQ14_spl
  <=> sdtlseqdt0(sdtpldt0(xP,xP),sz0z00) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f280,plain,
    ( sQ14_spl
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00) ),
    inference(component_clause,[status(thm)],[f278]) ).

fof(f285,definition,
    ( sQ16_spl
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f287,plain,
    ( sQ16_spl
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(component_clause,[status(thm)],[f285]) ).

fof(f298,definition,
    ( sQ20_spl
  <=> sdtpldt0(xP,xP) = sdtpldt0(xR,xS) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f299,plain,
    ( ~ sQ20_spl
    | sdtpldt0(xP,xP) = sdtpldt0(xR,xS) ),
    inference(component_clause,[status(thm)],[f298]) ).

fof(f315,plain,
    ( sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f277,f86]) ).

fof(f316,plain,
    sQ13_spl,
    inference(contradiction_clause,[status(thm)],[f315]) ).

fof(f317,plain,
    ( ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f299,f213]) ).

fof(f318,plain,
    ~ sQ20_spl,
    inference(contradiction_clause,[status(thm)],[f317]) ).

fof(f321,plain,
    ( sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f263,f207]) ).

fof(f322,plain,
    sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f321]) ).

fof(f323,plain,
    ( sQ16_spl
    | ~ aScalar0(xS)
    | ~ aScalar0(xR) ),
    inference(resolution,[status(thm)],[f287,f88]) ).

fof(f324,definition,
    ( sQ25_spl
  <=> aScalar0(xR) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f326,plain,
    ( sQ25_spl
    | ~ aScalar0(xR) ),
    inference(component_clause,[status(thm)],[f324]) ).

fof(f327,definition,
    ( sQ26_spl
  <=> aScalar0(xS) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f329,plain,
    ( sQ26_spl
    | ~ aScalar0(xS) ),
    inference(component_clause,[status(thm)],[f327]) ).

fof(f330,plain,
    ( sQ16_spl
    | ~ sQ26_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f323,f324,f327,f285]) ).

fof(f331,plain,
    ( sQ26_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f329,f200]) ).

fof(f332,plain,
    sQ26_spl,
    inference(contradiction_clause,[status(thm)],[f331]) ).

fof(f333,plain,
    ( sQ25_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f326,f196]) ).

fof(f334,plain,
    sQ25_spl,
    inference(contradiction_clause,[status(thm)],[f333]) ).

fof(f335,plain,
    ( sQ12_spl
    | ~ aScalar0(xP)
    | ~ aScalar0(xP) ),
    inference(resolution,[status(thm)],[f274,f88]) ).

fof(f336,definition,
    ( sQ27_spl
  <=> aScalar0(xP) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f338,plain,
    ( sQ27_spl
    | ~ aScalar0(xP) ),
    inference(component_clause,[status(thm)],[f336]) ).

fof(f339,plain,
    ( sQ12_spl
    | ~ sQ27_spl ),
    inference(split_clause,[status(thm)],[f335,f336,f272]) ).

fof(f340,plain,
    ( sQ27_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f338,f198]) ).

fof(f341,plain,
    sQ27_spl,
    inference(contradiction_clause,[status(thm)],[f340]) ).

fof(f430,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,sdtpldt0(xR,xS))
      | ~ sdtlseqdt0(X0,sz0z00)
      | ~ aScalar0(sdtpldt0(xR,xS))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(X0) ),
    inference(resolution,[status(thm)],[f124,f210]) ).

fof(f446,definition,
    ! [X0] :
      ( sQ44_spl
    <=> ( sdtlseqdt0(X0,sdtpldt0(xR,xS))
        | ~ sdtlseqdt0(X0,sz0z00)
        | ~ aScalar0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f447,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | sdtlseqdt0(X0,sdtpldt0(xR,xS))
      | ~ sdtlseqdt0(X0,sz0z00)
      | ~ aScalar0(X0) ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f449,plain,
    ( ~ sQ16_spl
    | ~ sQ13_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f430,f446,f275,f285]) ).

fof(f500,plain,
    ( sQ7_spl
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(resolution,[status(thm)],[f257,f90]) ).

fof(f501,plain,
    ( sQ7_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f500,f272,f255]) ).

fof(f576,definition,
    ( sQ66_spl
  <=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f578,plain,
    ( sQ66_spl
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(component_clause,[status(thm)],[f576]) ).

fof(f584,plain,
    ( sQ14_spl
    | sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sz0z00) ),
    inference(resolution,[status(thm)],[f280,f130]) ).

fof(f586,definition,
    ( sQ68_spl
  <=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f589,plain,
    ( sQ14_spl
    | sQ68_spl
    | ~ sQ12_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f584,f275,f272,f586,f278]) ).

fof(f730,plain,
    ( ~ sQ44_spl
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(resolution,[status(thm)],[f447,f208]) ).

fof(f740,plain,
    ( ~ sQ44_spl
    | ~ sQ14_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f730,f272,f278,f446]) ).

fof(f1200,plain,
    ( ~ sQ10_spl
    | sdtpldt0(xP,xP) = sdtpldt0(xR,xS)
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(resolution,[status(thm)],[f265,f137]) ).

fof(f1220,plain,
    ( ~ sQ10_spl
    | sQ20_spl
    | ~ sQ66_spl
    | ~ sQ68_spl
    | ~ sQ16_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f1200,f272,f285,f586,f576,f298,f264]) ).

fof(f5328,plain,
    ( sQ8_spl
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(resolution,[status(thm)],[f260,f90]) ).

fof(f5329,plain,
    ( sQ8_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f5328,f285,f258]) ).

fof(f5330,plain,
    ( sQ66_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f578,f210]) ).

fof(f5331,plain,
    sQ66_spl,
    inference(contradiction_clause,[status(thm)],[f5330]) ).

fof(f5332,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f267,f316,f318,f322,f330,f332,f334,f339,f341,f449,f501,f589,f740,f1220,f5329,f5331]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG073+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.57  % Computer : n004.cluster.edu
% 0.09/5.57  % Model    : x86_64 x86_64
% 0.09/5.57  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57  % Memory   : 8046.5625MB
% 0.09/5.57  % OS       : Linux 6.8.0-71-generic
% 0.09/5.58  % CPULimit : 300
% 0.09/5.58  % WCLimit  : 300
% 0.09/5.58  % DateTime : Mon Sep 21 04:17:42 UTC 2026
% 0.09/5.58  % CPUTime  : 
% 0.09/5.59  % Drodi V4.1.1
% 4.02/6.19  % Refutation found
% 4.02/6.19  % SZS status Theorem for theBenchmark: Theorem is valid
% 4.02/6.19  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.02/6.20  % Elapsed time: 0.612759 seconds
% 4.02/6.20  % CPU time: 4.606538 seconds
% 4.02/6.20  % Total memory used: 170.874 MB
% 4.02/6.20  % Net memory used: 167.361 MB
%------------------------------------------------------------------------------