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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : NUM607+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.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 01:41:10 PM UTC 2026

% Result   : Theorem 0.22s 0.98s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   81 (  16 unt;  12 def)
%            Number of atoms       :  287 (  33 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  347 ( 141   ~; 142   |;  42   &)
%                                         (  16 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  11 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-3 aty)
%            Number of variables   :   85 (  81   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,definition,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( aSubsetOf0(W1,W0)
        <=> ( ! [W2] :
                ( aElementOf0(W2,W1)
               => aElementOf0(W2,W0) )
            & aSet0(W1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [W0] :
      ( aSet0(W0)
     => aSubsetOf0(W0,W0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [W0,W1,W2] :
      ( ( aSet0(W2)
        & aSet0(W1)
        & aSet0(W0) )
     => ( ( aSubsetOf0(W1,W2)
          & aSubsetOf0(W0,W1) )
       => aSubsetOf0(W0,W2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,definition,
    ! [W0,W1] :
      ( ( aElementOf0(W1,szNzAzT0)
        & aSet0(W0) )
     => ! [W2] :
          ( W2 = slbdtsldtrb0(W0,W1)
        <=> ( ! [W3] :
                ( aElementOf0(W3,W2)
              <=> ( sbrdtbr0(W3) = W1
                  & aSubsetOf0(W3,W0) ) )
            & aSet0(W2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f74,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f75,hypothesis,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f76,hypothesis,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & aFunction0(xc) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f98,hypothesis,
    aSubsetOf0(xO,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,hypothesis,
    ( xQ != slcrc0
    & aSubsetOf0(xQ,xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f102,conjecture,
    aElementOf0(xQ,szDzozmdt0(xc)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f103,negated_conjecture,
    ~ aElementOf0(xQ,szDzozmdt0(xc)),
    inference(negated_conjecture,[status(cth)],[f102]) ).

fof(f128,plain,
    ! [W0] :
      ( ! [W1] :
          ( aSubsetOf0(W1,W0)
        <=> ( ! [W2] :
                ( aElementOf0(W2,W0)
                | ~ aElementOf0(W2,W1) )
            & aSet0(W1) ) )
      | ~ aSet0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f129,plain,
    ! [W0] :
      ( ! [W1] :
          ( ( ? [W2] :
                ( ~ aElementOf0(W2,W0)
                & aElementOf0(W2,W1) )
            | ~ aSet0(W1)
            | aSubsetOf0(W1,W0) )
          & ( ( ! [W2] :
                  ( aElementOf0(W2,W0)
                  | ~ aElementOf0(W2,W1) )
              & aSet0(W1) )
            | ~ aSubsetOf0(W1,W0) ) )
      | ~ aSet0(W0) ),
    inference(NNF_transformation,[status(thm)],[f128]) ).

fof(f130,plain,
    ! [W0] :
      ( ( ! [W1] :
            ( ? [W2] :
                ( ~ aElementOf0(W2,W0)
                & aElementOf0(W2,W1) )
            | ~ aSet0(W1)
            | aSubsetOf0(W1,W0) )
        & ! [W1] :
            ( ( ! [W2] :
                  ( aElementOf0(W2,W0)
                  | ~ aElementOf0(W2,W1) )
              & aSet0(W1) )
            | ~ aSubsetOf0(W1,W0) ) )
      | ~ aSet0(W0) ),
    inference(miniscoping,[status(thm)],[f129]) ).

fof(f131,plain,
    ! [W0] :
      ( ( ! [W1] :
            ( ( ~ aElementOf0(sK1_skl(W1,W0),W0)
              & aElementOf0(sK1_skl(W1,W0),W1) )
            | ~ aSet0(W1)
            | aSubsetOf0(W1,W0) )
        & ! [W1] :
            ( ( ! [W2] :
                  ( aElementOf0(W2,W0)
                  | ~ aElementOf0(W2,W1) )
              & aSet0(W1) )
            | ~ aSubsetOf0(W1,W0) ) )
      | ~ aSet0(W0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f130]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( aSet0(X1)
      | ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( aElementOf0(X2,X0)
      | ~ aElementOf0(X2,X1)
      | ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f138,plain,
    ! [W0] :
      ( aSubsetOf0(W0,W0)
      | ~ aSet0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f139,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f142,plain,
    ! [W0,W1,W2] :
      ( aSubsetOf0(W0,W2)
      | ~ aSubsetOf0(W1,W2)
      | ~ aSubsetOf0(W0,W1)
      | ~ aSet0(W2)
      | ~ aSet0(W1)
      | ~ aSet0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(thm)],[f142]) ).

fof(f180,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f285,plain,
    ! [W0,W1] :
      ( ! [W2] :
          ( W2 = slbdtsldtrb0(W0,W1)
        <=> ( ! [W3] :
                ( aElementOf0(W3,W2)
              <=> ( sbrdtbr0(W3) = W1
                  & aSubsetOf0(W3,W0) ) )
            & aSet0(W2) ) )
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aSet0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f57]) ).

fof(f286,plain,
    ! [W0,W1] :
      ( ! [W2] :
          ( ( ? [W3] :
                ( ( ( sbrdtbr0(W3) = W1
                    & aSubsetOf0(W3,W0) )
                  | aElementOf0(W3,W2) )
                & ( sbrdtbr0(W3) != W1
                  | ~ aSubsetOf0(W3,W0)
                  | ~ aElementOf0(W3,W2) ) )
            | ~ aSet0(W2)
            | W2 = slbdtsldtrb0(W0,W1) )
          & ( ( ! [W3] :
                  ( ( sbrdtbr0(W3) != W1
                    | ~ aSubsetOf0(W3,W0)
                    | aElementOf0(W3,W2) )
                  & ( ( sbrdtbr0(W3) = W1
                      & aSubsetOf0(W3,W0) )
                    | ~ aElementOf0(W3,W2) ) )
              & aSet0(W2) )
            | W2 != slbdtsldtrb0(W0,W1) ) )
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aSet0(W0) ),
    inference(NNF_transformation,[status(thm)],[f285]) ).

fof(f287,plain,
    ! [W0,W1] :
      ( ( ! [W2] :
            ( ? [W3] :
                ( ( ( sbrdtbr0(W3) = W1
                    & aSubsetOf0(W3,W0) )
                  | aElementOf0(W3,W2) )
                & ( sbrdtbr0(W3) != W1
                  | ~ aSubsetOf0(W3,W0)
                  | ~ aElementOf0(W3,W2) ) )
            | ~ aSet0(W2)
            | W2 = slbdtsldtrb0(W0,W1) )
        & ! [W2] :
            ( ( ! [W3] :
                  ( sbrdtbr0(W3) != W1
                  | ~ aSubsetOf0(W3,W0)
                  | aElementOf0(W3,W2) )
              & ! [W3] :
                  ( ( sbrdtbr0(W3) = W1
                    & aSubsetOf0(W3,W0) )
                  | ~ aElementOf0(W3,W2) )
              & aSet0(W2) )
            | W2 != slbdtsldtrb0(W0,W1) ) )
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aSet0(W0) ),
    inference(miniscoping,[status(thm)],[f286]) ).

fof(f288,plain,
    ! [W0,W1] :
      ( ( ! [W2] :
            ( ( ( ( sbrdtbr0(sK10_skl(W2,W1,W0)) = W1
                  & aSubsetOf0(sK10_skl(W2,W1,W0),W0) )
                | aElementOf0(sK10_skl(W2,W1,W0),W2) )
              & ( sbrdtbr0(sK10_skl(W2,W1,W0)) != W1
                | ~ aSubsetOf0(sK10_skl(W2,W1,W0),W0)
                | ~ aElementOf0(sK10_skl(W2,W1,W0),W2) ) )
            | ~ aSet0(W2)
            | W2 = slbdtsldtrb0(W0,W1) )
        & ! [W2] :
            ( ( ! [W3] :
                  ( sbrdtbr0(W3) != W1
                  | ~ aSubsetOf0(W3,W0)
                  | aElementOf0(W3,W2) )
              & ! [W3] :
                  ( ( sbrdtbr0(W3) = W1
                    & aSubsetOf0(W3,W0) )
                  | ~ aElementOf0(W3,W2) )
              & aSet0(W2) )
            | W2 != slbdtsldtrb0(W0,W1) ) )
      | ~ aElementOf0(W1,szNzAzT0)
      | ~ aSet0(W0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f287]) ).

fof(f291,plain,
    ! [X0,X1,X2,X3] :
      ( sbrdtbr0(X3) = X1
      | ~ aElementOf0(X3,X2)
      | X2 != slbdtsldtrb0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(thm)],[f288]) ).

fof(f292,plain,
    ! [X0,X1,X2,X3] :
      ( sbrdtbr0(X3) != X1
      | ~ aSubsetOf0(X3,X0)
      | aElementOf0(X3,X2)
      | X2 != slbdtsldtrb0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[status(thm)],[f288]) ).

fof(f362,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f363,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f366,plain,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    inference(cnf_transformation,[status(thm)],[f76]) ).

fof(f433,plain,
    aSubsetOf0(xO,xS),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f434,plain,
    aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
    inference(cnf_transformation,[status(thm)],[f99]) ).

fof(f435,plain,
    aSubsetOf0(xQ,xO),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f438,plain,
    ~ aElementOf0(xQ,szDzozmdt0(xc)),
    inference(cnf_transformation,[status(thm)],[f103]) ).

fof(f470,plain,
    ! [X0,X1,X2] :
      ( sbrdtbr0(X2) = X1
      | ~ aElementOf0(X2,slbdtsldtrb0(X0,X1))
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f291]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aElementOf0(X1,slbdtsldtrb0(X0,sbrdtbr0(X1)))
      | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
      | ~ aSet0(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f292]) ).

fof(f495,definition,
    ( sQ2_spl
  <=> aSet0(szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f497,plain,
    ( sQ2_spl
    | ~ aSet0(szNzAzT0) ),
    inference(component_clause,[status(thm)],[f495]) ).

fof(f502,plain,
    ( sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f497,f180]) ).

fof(f503,plain,
    sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f502]) ).

fof(f570,definition,
    ( sQ18_spl
  <=> aSet0(xO) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f592,plain,
    ( aSet0(xS)
    | ~ aSet0(szNzAzT0) ),
    inference(resolution,[status(thm)],[f363,f132]) ).

fof(f593,definition,
    ( sQ23_spl
  <=> aSet0(xS) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f596,plain,
    ( sQ23_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f592,f495,f593]) ).

fof(f614,plain,
    ! [X0] :
      ( aElementOf0(xK,X0)
      | ~ aSubsetOf0(szNzAzT0,X0)
      | ~ aSet0(X0) ),
    inference(resolution,[status(thm)],[f133,f362]) ).

fof(f618,plain,
    ( aSet0(xO)
    | ~ aSet0(xS) ),
    inference(resolution,[status(thm)],[f433,f132]) ).

fof(f619,plain,
    ( sQ18_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f618,f593,f570]) ).

fof(f797,plain,
    ! [X0,X1,X2] :
      ( aSubsetOf0(X2,X1)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSubsetOf0(X2,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f143,f132]) ).

fof(f803,plain,
    ! [X0] :
      ( aSubsetOf0(xQ,X0)
      | ~ aSubsetOf0(xO,X0)
      | ~ aSet0(X0)
      | ~ aSet0(xO) ),
    inference(resolution,[status(thm)],[f797,f435]) ).

fof(f822,definition,
    ! [X0] :
      ( sQ57_spl
    <=> ( aSubsetOf0(xQ,X0)
        | ~ aSubsetOf0(xO,X0)
        | ~ aSet0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f823,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | aSubsetOf0(xQ,X0)
      | ~ aSubsetOf0(xO,X0)
      | ~ aSet0(X0) ),
    inference(component_clause,[status(thm)],[f822]) ).

fof(f825,plain,
    ( sQ57_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f803,f570,f822]) ).

fof(f826,plain,
    ( ~ sQ57_spl
    | aSubsetOf0(xQ,xS)
    | ~ aSet0(xS) ),
    inference(resolution,[status(thm)],[f823,f433]) ).

fof(f828,definition,
    ( sQ58_spl
  <=> aSubsetOf0(xQ,xS) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f831,plain,
    ( ~ sQ57_spl
    | sQ58_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f826,f593,f828,f822]) ).

fof(f1552,definition,
    ( sQ126_spl
  <=> aElementOf0(xK,szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).

fof(f2034,plain,
    ( ~ aSet0(szNzAzT0)
    | aElementOf0(xK,szNzAzT0)
    | ~ aSet0(szNzAzT0) ),
    inference(resolution,[status(thm)],[f614,f139]) ).

fof(f2035,plain,
    ( sQ126_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f2034,f495,f1552]) ).

fof(f4787,plain,
    ( sbrdtbr0(xQ) = xK
    | ~ aElementOf0(xK,szNzAzT0)
    | ~ aSet0(xO) ),
    inference(resolution,[status(thm)],[f470,f434]) ).

fof(f4791,definition,
    ( sQ432_spl
  <=> sbrdtbr0(xQ) = xK ),
    introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).

fof(f4792,plain,
    ( ~ sQ432_spl
    | sbrdtbr0(xQ) = xK ),
    inference(component_clause,[status(thm)],[f4791]) ).

fof(f4794,plain,
    ( sQ432_spl
    | ~ sQ126_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f4787,f570,f1552,f4791]) ).

fof(f4804,plain,
    ! [X0] :
      ( ~ sQ432_spl
      | ~ aSubsetOf0(xQ,X0)
      | aElementOf0(xQ,slbdtsldtrb0(X0,xK))
      | ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0)
      | ~ aSet0(X0) ),
    inference(paramodulation,[status(thm)],[f4792,f471]) ).

fof(f4818,definition,
    ! [X0] :
      ( sQ434_spl
    <=> ( ~ aSubsetOf0(xQ,X0)
        | aElementOf0(xQ,slbdtsldtrb0(X0,xK))
        | ~ aSet0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).

fof(f4819,plain,
    ! [X0] :
      ( ~ sQ434_spl
      | ~ aSubsetOf0(xQ,X0)
      | aElementOf0(xQ,slbdtsldtrb0(X0,xK))
      | ~ aSet0(X0) ),
    inference(component_clause,[status(thm)],[f4818]) ).

fof(f4821,definition,
    ( sQ435_spl
  <=> aElementOf0(sbrdtbr0(xQ),szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).

fof(f4823,plain,
    ( sQ435_spl
    | ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0) ),
    inference(component_clause,[status(thm)],[f4821]) ).

fof(f4824,plain,
    ( ~ sQ432_spl
    | ~ sQ435_spl
    | sQ434_spl ),
    inference(split_clause,[status(thm)],[f4804,f4818,f4821,f4791]) ).

fof(f4960,plain,
    ( ~ sQ434_spl
    | ~ aSubsetOf0(xQ,xS)
    | aElementOf0(xQ,szDzozmdt0(xc))
    | ~ aSet0(xS) ),
    inference(paramodulation,[status(thm)],[f366,f4819]) ).

fof(f4973,definition,
    ( sQ458_spl
  <=> aElementOf0(xQ,szDzozmdt0(xc)) ),
    introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).

fof(f4974,plain,
    ( ~ sQ458_spl
    | aElementOf0(xQ,szDzozmdt0(xc)) ),
    inference(component_clause,[status(thm)],[f4973]) ).

fof(f4976,plain,
    ( ~ sQ434_spl
    | ~ sQ58_spl
    | sQ458_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f4960,f593,f4973,f828,f4818]) ).

fof(f4977,plain,
    ( ~ sQ458_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4974,f438]) ).

fof(f4978,plain,
    ~ sQ458_spl,
    inference(contradiction_clause,[status(thm)],[f4977]) ).

fof(f4979,plain,
    ( sQ435_spl
    | ~ sQ432_spl
    | ~ aElementOf0(xK,szNzAzT0) ),
    inference(forward_demodulation,[status(thm)],[f4792,f4823]) ).

fof(f4980,plain,
    ( sQ435_spl
    | ~ sQ432_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4979,f362]) ).

fof(f4981,plain,
    ( sQ435_spl
    | ~ sQ432_spl ),
    inference(contradiction_clause,[status(thm)],[f4980]) ).

fof(f4982,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f503,f596,f619,f825,f831,f2035,f4794,f4824,f4976,f4978,f4981]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM607+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.51  % Computer : n010.cluster.edu
% 0.08/0.51  % Model    : x86_64 x86_64
% 0.08/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51  % Memory   : 8046.5625MB
% 0.08/0.51  % OS       : Linux 6.8.0-71-generic
% 0.08/0.51  % CPULimit : 300
% 0.08/0.51  % WCLimit  : 300
% 0.08/0.51  % DateTime : Mon Sep 21 02:44:55 UTC 2026
% 0.08/0.51  % CPUTime  : 
% 0.08/0.53  % Drodi V4.1.1
% 0.22/0.98  % Refutation found
% 0.22/0.98  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.98  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/1.02  % Elapsed time: 0.487833 seconds
% 0.22/1.02  % CPU time: 3.578298 seconds
% 0.22/1.02  % Total memory used: 157.397 MB
% 0.22/1.02  % Net memory used: 152.666 MB
%------------------------------------------------------------------------------