TSTP Solution File: NUM434+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM434+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 : Tue Apr 30 20:34:40 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   97 (  15 unt;   2 def)
%            Number of atoms       :  301 (  52 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  341 ( 137   ~; 142   |;  35   &)
%                                         (  18 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  15 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   69 (  63   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [W0] :
      ( aInteger0(W0)
     => aInteger0(smndt0(W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [W0,W1] :
      ( ( aInteger0(W0)
        & aInteger0(W1) )
     => aInteger0(sdtpldt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [W0,W1] :
      ( ( aInteger0(W0)
        & aInteger0(W1) )
     => aInteger0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [W0,W1] :
      ( ( aInteger0(W0)
        & aInteger0(W1) )
     => ( sdtasdt0(W0,W1) = sz00
       => ( W0 = sz00
          | W1 = sz00 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,definition,
    ! [W0] :
      ( aInteger0(W0)
     => ! [W1] :
          ( aDivisorOf0(W1,W0)
        <=> ( aInteger0(W1)
            & W1 != sz00
            & ? [W2] :
                ( aInteger0(W2)
                & sdtasdt0(W1,W2) = W0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,definition,
    ! [W0,W1,W2] :
      ( ( aInteger0(W0)
        & aInteger0(W1)
        & aInteger0(W2)
        & W2 != sz00 )
     => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
      <=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [W0,W1,W2] :
      ( ( aInteger0(W0)
        & aInteger0(W1)
        & aInteger0(W2)
        & W2 != sz00 )
     => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
       => sdteqdtlpzmzozddtrp0(W1,W0,W2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,hypothesis,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xp)
    & xp != sz00
    & aInteger0(xq)
    & xq != sz00 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,hypothesis,
    sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,conjecture,
    ? [W0] :
      ( aInteger0(W0)
      & sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ~ ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

fof(f32,plain,
    ! [W0] :
      ( ~ aInteger0(W0)
      | aInteger0(smndt0(W0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f34,plain,
    ! [W0,W1] :
      ( ~ aInteger0(W0)
      | ~ aInteger0(W1)
      | aInteger0(sdtpldt0(W0,W1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | aInteger0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f36,plain,
    ! [W0,W1] :
      ( ~ aInteger0(W0)
      | ~ aInteger0(W1)
      | aInteger0(sdtasdt0(W0,W1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f64,plain,
    ! [W0,W1] :
      ( ~ aInteger0(W0)
      | ~ aInteger0(W1)
      | sdtasdt0(W0,W1) != sz00
      | W0 = sz00
      | W1 = sz00 ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | sdtasdt0(X0,X1) != sz00
      | X0 = sz00
      | X1 = sz00 ),
    inference(cnf_transformation,[status(esa)],[f64]) ).

fof(f66,plain,
    ! [W0] :
      ( ~ aInteger0(W0)
      | ! [W1] :
          ( aDivisorOf0(W1,W0)
        <=> ( aInteger0(W1)
            & W1 != sz00
            & ? [W2] :
                ( aInteger0(W2)
                & sdtasdt0(W1,W2) = W0 ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f18]) ).

fof(f67,plain,
    ! [W0] :
      ( ~ aInteger0(W0)
      | ! [W1] :
          ( ( ~ aDivisorOf0(W1,W0)
            | ( aInteger0(W1)
              & W1 != sz00
              & ? [W2] :
                  ( aInteger0(W2)
                  & sdtasdt0(W1,W2) = W0 ) ) )
          & ( aDivisorOf0(W1,W0)
            | ~ aInteger0(W1)
            | W1 = sz00
            | ! [W2] :
                ( ~ aInteger0(W2)
                | sdtasdt0(W1,W2) != W0 ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f66]) ).

fof(f68,plain,
    ! [W0] :
      ( ~ aInteger0(W0)
      | ( ! [W1] :
            ( ~ aDivisorOf0(W1,W0)
            | ( aInteger0(W1)
              & W1 != sz00
              & ? [W2] :
                  ( aInteger0(W2)
                  & sdtasdt0(W1,W2) = W0 ) ) )
        & ! [W1] :
            ( aDivisorOf0(W1,W0)
            | ~ aInteger0(W1)
            | W1 = sz00
            | ! [W2] :
                ( ~ aInteger0(W2)
                | sdtasdt0(W1,W2) != W0 ) ) ) ),
    inference(miniscoping,[status(esa)],[f67]) ).

fof(f69,plain,
    ! [W0] :
      ( ~ aInteger0(W0)
      | ( ! [W1] :
            ( ~ aDivisorOf0(W1,W0)
            | ( aInteger0(W1)
              & W1 != sz00
              & aInteger0(sk0_0(W1,W0))
              & sdtasdt0(W1,sk0_0(W1,W0)) = W0 ) )
        & ! [W1] :
            ( aDivisorOf0(W1,W0)
            | ~ aInteger0(W1)
            | W1 = sz00
            | ! [W2] :
                ( ~ aInteger0(W2)
                | sdtasdt0(W1,W2) != W0 ) ) ) ),
    inference(skolemization,[status(esa)],[f68]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X0)
      | ~ aDivisorOf0(X1,X0)
      | aInteger0(sk0_0(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X0)
      | ~ aDivisorOf0(X1,X0)
      | sdtasdt0(X1,sk0_0(X1,X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f75,plain,
    ! [W0,W1,W2] :
      ( ~ aInteger0(W0)
      | ~ aInteger0(W1)
      | ~ aInteger0(W2)
      | W2 = sz00
      | ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
      <=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

fof(f76,plain,
    ! [W0,W1,W2] :
      ( ~ aInteger0(W0)
      | ~ aInteger0(W1)
      | ~ aInteger0(W2)
      | W2 = sz00
      | ( ( ~ sdteqdtlpzmzozddtrp0(W0,W1,W2)
          | aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) )
        & ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
          | ~ aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ) ),
    inference(NNF_transformation,[status(esa)],[f75]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | X2 = sz00
      | ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
      | aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ),
    inference(cnf_transformation,[status(esa)],[f76]) ).

fof(f81,plain,
    ! [W0,W1,W2] :
      ( ~ aInteger0(W0)
      | ~ aInteger0(W1)
      | ~ aInteger0(W2)
      | W2 = sz00
      | ~ sdteqdtlpzmzozddtrp0(W0,W1,W2)
      | sdteqdtlpzmzozddtrp0(W1,W0,W2) ),
    inference(pre_NNF_transformation,[status(esa)],[f21]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | X2 = sz00
      | ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
      | sdteqdtlpzmzozddtrp0(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f81]) ).

fof(f85,plain,
    aInteger0(xa),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f86,plain,
    aInteger0(xb),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f87,plain,
    aInteger0(xp),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f88,plain,
    xp != sz00,
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f89,plain,
    aInteger0(xq),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f90,plain,
    xq != sz00,
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f91,plain,
    sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f92,plain,
    ! [W0] :
      ( ~ aInteger0(W0)
      | sdtasdt0(sdtasdt0(xp,xq),W0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(pre_NNF_transformation,[status(esa)],[f26]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f120,plain,
    ( spl0_4
  <=> aInteger0(sdtpldt0(xa,smndt0(xb))) ),
    introduced(split_symbol_definition) ).

fof(f122,plain,
    ( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f120]) ).

fof(f123,plain,
    ( spl0_5
  <=> aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))) ),
    introduced(split_symbol_definition) ).

fof(f125,plain,
    ( ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f123]) ).

fof(f126,plain,
    ( spl0_6
  <=> aInteger0(sk0_0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))) ),
    introduced(split_symbol_definition) ).

fof(f128,plain,
    ( ~ aInteger0(sk0_0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))))
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f126]) ).

fof(f129,plain,
    ( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    | ~ aInteger0(sk0_0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))) ),
    inference(resolution,[status(thm)],[f73,f93]) ).

fof(f130,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f129,f120,f123,f126]) ).

fof(f131,plain,
    ( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
    | ~ aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    | spl0_6 ),
    inference(resolution,[status(thm)],[f128,f72]) ).

fof(f132,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f131,f120,f123,f126]) ).

fof(f157,plain,
    ( spl0_11
  <=> aInteger0(xa) ),
    introduced(split_symbol_definition) ).

fof(f159,plain,
    ( ~ aInteger0(xa)
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f157]) ).

fof(f160,plain,
    ( spl0_12
  <=> aInteger0(xb) ),
    introduced(split_symbol_definition) ).

fof(f162,plain,
    ( ~ aInteger0(xb)
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f160]) ).

fof(f163,plain,
    ( spl0_13
  <=> aInteger0(sdtasdt0(xp,xq)) ),
    introduced(split_symbol_definition) ).

fof(f165,plain,
    ( ~ aInteger0(sdtasdt0(xp,xq))
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f163]) ).

fof(f166,plain,
    ( spl0_14
  <=> sdtasdt0(xp,xq) = sz00 ),
    introduced(split_symbol_definition) ).

fof(f167,plain,
    ( sdtasdt0(xp,xq) = sz00
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f166]) ).

fof(f169,plain,
    ( spl0_15
  <=> sdteqdtlpzmzozddtrp0(xb,xa,sdtasdt0(xp,xq)) ),
    introduced(split_symbol_definition) ).

fof(f170,plain,
    ( sdteqdtlpzmzozddtrp0(xb,xa,sdtasdt0(xp,xq))
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f169]) ).

fof(f172,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(xb)
    | ~ aInteger0(sdtasdt0(xp,xq))
    | sdtasdt0(xp,xq) = sz00
    | sdteqdtlpzmzozddtrp0(xb,xa,sdtasdt0(xp,xq)) ),
    inference(resolution,[status(thm)],[f82,f91]) ).

fof(f173,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f172,f157,f160,f163,f166,f169]) ).

fof(f176,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f162,f86]) ).

fof(f177,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f176]) ).

fof(f178,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f159,f85]) ).

fof(f179,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f178]) ).

fof(f180,plain,
    ( spl0_16
  <=> aInteger0(xp) ),
    introduced(split_symbol_definition) ).

fof(f182,plain,
    ( ~ aInteger0(xp)
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f180]) ).

fof(f183,plain,
    ( spl0_17
  <=> aInteger0(xq) ),
    introduced(split_symbol_definition) ).

fof(f185,plain,
    ( ~ aInteger0(xq)
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f183]) ).

fof(f186,plain,
    ( ~ aInteger0(xp)
    | ~ aInteger0(xq)
    | spl0_13 ),
    inference(resolution,[status(thm)],[f165,f37]) ).

fof(f187,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f186,f180,f183,f163]) ).

fof(f188,plain,
    ( $false
    | spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f185,f89]) ).

fof(f189,plain,
    spl0_17,
    inference(contradiction_clause,[status(thm)],[f188]) ).

fof(f190,plain,
    ( $false
    | spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f182,f87]) ).

fof(f191,plain,
    spl0_16,
    inference(contradiction_clause,[status(thm)],[f190]) ).

fof(f195,plain,
    ( spl0_18
  <=> xp = sz00 ),
    introduced(split_symbol_definition) ).

fof(f196,plain,
    ( xp = sz00
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f195]) ).

fof(f198,plain,
    ( spl0_19
  <=> xq = sz00 ),
    introduced(split_symbol_definition) ).

fof(f199,plain,
    ( xq = sz00
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f198]) ).

fof(f201,plain,
    ( ~ aInteger0(xp)
    | ~ aInteger0(xq)
    | xp = sz00
    | xq = sz00
    | ~ spl0_14 ),
    inference(resolution,[status(thm)],[f167,f65]) ).

fof(f202,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | spl0_18
    | spl0_19
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f201,f180,f183,f195,f198,f166]) ).

fof(f237,plain,
    ( $false
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f196,f88]) ).

fof(f238,plain,
    ~ spl0_18,
    inference(contradiction_clause,[status(thm)],[f237]) ).

fof(f239,plain,
    ( $false
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f199,f90]) ).

fof(f240,plain,
    ~ spl0_19,
    inference(contradiction_clause,[status(thm)],[f239]) ).

fof(f241,plain,
    ( spl0_26
  <=> sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
    introduced(split_symbol_definition) ).

fof(f244,plain,
    ( ~ aInteger0(xb)
    | ~ aInteger0(xa)
    | ~ aInteger0(sdtasdt0(xp,xq))
    | sdtasdt0(xp,xq) = sz00
    | sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
    | ~ spl0_15 ),
    inference(resolution,[status(thm)],[f170,f82]) ).

fof(f245,plain,
    ( ~ spl0_12
    | ~ spl0_11
    | ~ spl0_13
    | spl0_14
    | spl0_26
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f244,f160,f157,f163,f166,f241,f169]) ).

fof(f256,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(xb)
    | ~ aInteger0(sdtasdt0(xp,xq))
    | sdtasdt0(xp,xq) = sz00
    | ~ sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
    | spl0_5 ),
    inference(resolution,[status(thm)],[f77,f125]) ).

fof(f257,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14
    | ~ spl0_26
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f256,f157,f160,f163,f166,f241,f123]) ).

fof(f265,plain,
    ( spl0_29
  <=> aInteger0(smndt0(xb)) ),
    introduced(split_symbol_definition) ).

fof(f267,plain,
    ( ~ aInteger0(smndt0(xb))
    | spl0_29 ),
    inference(component_clause,[status(thm)],[f265]) ).

fof(f268,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(smndt0(xb))
    | spl0_4 ),
    inference(resolution,[status(thm)],[f122,f35]) ).

fof(f269,plain,
    ( ~ spl0_11
    | ~ spl0_29
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f268,f157,f265,f120]) ).

fof(f270,plain,
    ( ~ aInteger0(xb)
    | spl0_29 ),
    inference(resolution,[status(thm)],[f267,f33]) ).

fof(f271,plain,
    ( ~ spl0_12
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f270,f160,f265]) ).

fof(f272,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f130,f132,f173,f177,f179,f187,f189,f191,f202,f238,f240,f245,f257,f269,f271]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM434+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 20:40:04 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.028351 seconds
% 0.13/0.38  % CPU time: 0.093053 seconds
% 0.13/0.38  % Total memory used: 15.469 MB
% 0.13/0.38  % Net memory used: 15.379 MB
%------------------------------------------------------------------------------