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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : LCL494+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 01:07:51 PM UTC 2026

% Result   : Theorem 0.08s 15.48s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  106 (  23 unt;  15 def)
%            Number of atoms       :  256 (  17 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  256 ( 106   ~; 110   |;  16   &)
%                                         (  20 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   25 (  23 usr;  23 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :  109 (  99   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( modus_ponens
  <=> ! [X,Y] :
        ( ( is_a_theorem(implies(X,Y))
          & is_a_theorem(X) )
       => is_a_theorem(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ( equivalence_2
  <=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ( r2
  <=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ( r3
  <=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X,Y] : implies(X,Y) = or(not(X),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ( op_equiv
   => ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    op_equiv,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    r2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    r3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,conjecture,
    equivalence_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,negated_conjecture,
    ~ equivalence_2,
    inference(negated_conjecture,[status(cth)],[f45]) ).

fof(f47,plain,
    ( modus_ponens
  <=> ! [X,Y] :
        ( is_a_theorem(Y)
        | ~ is_a_theorem(implies(X,Y))
        | ~ is_a_theorem(X) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f48,plain,
    ( ( ? [X,Y] :
          ( ~ is_a_theorem(Y)
          & is_a_theorem(implies(X,Y))
          & is_a_theorem(X) )
      | modus_ponens )
    & ( ! [X,Y] :
          ( is_a_theorem(Y)
          | ~ is_a_theorem(implies(X,Y))
          | ~ is_a_theorem(X) )
      | ~ modus_ponens ) ),
    inference(NNF_transformation,[status(thm)],[f47]) ).

fof(f49,plain,
    ( ( ? [Y] :
          ( ~ is_a_theorem(Y)
          & ? [X] :
              ( is_a_theorem(implies(X,Y))
              & is_a_theorem(X) ) )
      | modus_ponens )
    & ( ! [Y] :
          ( is_a_theorem(Y)
          | ! [X] :
              ( ~ is_a_theorem(implies(X,Y))
              | ~ is_a_theorem(X) ) )
      | ~ modus_ponens ) ),
    inference(miniscoping,[status(thm)],[f48]) ).

fof(f50,plain,
    ( ( ( ~ is_a_theorem(sK0_skl)
        & is_a_theorem(implies(sK1_skl,sK0_skl))
        & is_a_theorem(sK1_skl) )
      | modus_ponens )
    & ( ! [Y] :
          ( is_a_theorem(Y)
          | ! [X] :
              ( ~ is_a_theorem(implies(X,Y))
              | ~ is_a_theorem(X) ) )
      | ~ modus_ponens ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f49]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | ~ modus_ponens ),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f105,plain,
    ( ( ? [X,Y] : ~ is_a_theorem(implies(equiv(X,Y),implies(Y,X)))
      | equivalence_2 )
    & ( ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X)))
      | ~ equivalence_2 ) ),
    inference(NNF_transformation,[status(thm)],[f14]) ).

fof(f106,plain,
    ( ( ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl)))
      | equivalence_2 )
    & ( ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X)))
      | ~ equivalence_2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK28_skl,sK29_skl]),skolemize(X,sK28_skl),skolemize(Y,sK29_skl)],[f105]) ).

fof(f108,plain,
    ( ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl)))
    | equivalence_2 ),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f141,plain,
    ( ( ? [P,Q] : ~ is_a_theorem(implies(Q,or(P,Q)))
      | r2 )
    & ( ! [P,Q] : is_a_theorem(implies(Q,or(P,Q)))
      | ~ r2 ) ),
    inference(NNF_transformation,[status(thm)],[f23]) ).

fof(f142,plain,
    ( ( ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl)))
      | r2 )
    & ( ! [P,Q] : is_a_theorem(implies(Q,or(P,Q)))
      | ~ r2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK45_skl,sK46_skl]),skolemize(P,sK45_skl),skolemize(Q,sK46_skl)],[f141]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,or(X1,X0)))
      | ~ r2 ),
    inference(cnf_transformation,[status(thm)],[f142]) ).

fof(f145,plain,
    ( ( ? [P,Q] : ~ is_a_theorem(implies(or(P,Q),or(Q,P)))
      | r3 )
    & ( ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P)))
      | ~ r3 ) ),
    inference(NNF_transformation,[status(thm)],[f24]) ).

fof(f146,plain,
    ( ( ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl)))
      | r3 )
    & ( ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P)))
      | ~ r3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl]),skolemize(P,sK47_skl),skolemize(Q,sK48_skl)],[f145]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
      | ~ r3 ),
    inference(cnf_transformation,[status(thm)],[f146]) ).

fof(f161,plain,
    ( ! [X,Y] : implies(X,Y) = not(and(X,not(Y)))
    | ~ op_implies_and ),
    inference(pre_NNF_transformation,[status(thm)],[f29]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[status(thm)],[f161]) ).

fof(f163,plain,
    ( ! [X,Y] : implies(X,Y) = or(not(X),Y)
    | ~ op_implies_or ),
    inference(pre_NNF_transformation,[status(thm)],[f30]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[status(thm)],[f163]) ).

fof(f165,plain,
    ( ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X))
    | ~ op_equiv ),
    inference(pre_NNF_transformation,[status(thm)],[f31]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
      | ~ op_equiv ),
    inference(cnf_transformation,[status(thm)],[f165]) ).

fof(f167,plain,
    op_implies_or,
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f169,plain,
    op_equiv,
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f170,plain,
    modus_ponens,
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f172,plain,
    r2,
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f173,plain,
    r3,
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f178,plain,
    op_implies_and,
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f180,plain,
    ~ equivalence_2,
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f181,definition,
    ( sQ0_spl
  <=> modus_ponens ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f183,plain,
    ( sQ0_spl
    | ~ modus_ponens ),
    inference(component_clause,[status(thm)],[f181]) ).

fof(f184,definition,
    ! [X0,X1] :
      ( sQ1_spl
    <=> ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0) ),
    inference(component_clause,[status(thm)],[f184]) ).

fof(f187,plain,
    ( sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f51,f181,f184]) ).

fof(f229,definition,
    ! [X0,X1] :
      ( sQ13_spl
    <=> is_a_theorem(implies(X0,implies(X1,X0))) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ~ sQ13_spl
      | is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(component_clause,[status(thm)],[f229]) ).

fof(f306,definition,
    ! [X0,X1] :
      ( sQ34_spl
    <=> is_a_theorem(implies(X0,or(X1,X0))) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ~ sQ34_spl
      | is_a_theorem(implies(X0,or(X1,X0))) ),
    inference(component_clause,[status(thm)],[f306]) ).

fof(f336,definition,
    ( sQ42_spl
  <=> equivalence_2 ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f337,plain,
    ( ~ sQ42_spl
    | equivalence_2 ),
    inference(component_clause,[status(thm)],[f336]) ).

fof(f343,definition,
    ( sQ44_spl
  <=> is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f345,plain,
    ( sQ44_spl
    | ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
    inference(component_clause,[status(thm)],[f343]) ).

fof(f346,plain,
    ( ~ sQ44_spl
    | sQ42_spl ),
    inference(split_clause,[status(thm)],[f108,f336,f343]) ).

fof(f429,definition,
    ( sQ67_spl
  <=> r2 ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f431,plain,
    ( sQ67_spl
    | ~ r2 ),
    inference(component_clause,[status(thm)],[f429]) ).

fof(f432,plain,
    ( sQ34_spl
    | ~ sQ67_spl ),
    inference(split_clause,[status(thm)],[f143,f429,f306]) ).

fof(f437,definition,
    ( sQ69_spl
  <=> r3 ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f439,plain,
    ( sQ69_spl
    | ~ r3 ),
    inference(component_clause,[status(thm)],[f437]) ).

fof(f440,definition,
    ! [X0,X1] :
      ( sQ70_spl
    <=> is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( ~ sQ70_spl
      | is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    inference(component_clause,[status(thm)],[f440]) ).

fof(f443,plain,
    ( sQ70_spl
    | ~ sQ69_spl ),
    inference(split_clause,[status(thm)],[f147,f437,f440]) ).

fof(f484,definition,
    ( sQ82_spl
  <=> op_implies_and ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f486,plain,
    ( sQ82_spl
    | ~ op_implies_and ),
    inference(component_clause,[status(thm)],[f484]) ).

fof(f487,definition,
    ! [X0,X1] :
      ( sQ83_spl
    <=> implies(X0,X1) = not(and(X0,not(X1))) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( ~ sQ83_spl
      | implies(X0,X1) = not(and(X0,not(X1))) ),
    inference(component_clause,[status(thm)],[f487]) ).

fof(f490,plain,
    ( sQ83_spl
    | ~ sQ82_spl ),
    inference(split_clause,[status(thm)],[f162,f484,f487]) ).

fof(f491,definition,
    ( sQ84_spl
  <=> op_implies_or ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f493,plain,
    ( sQ84_spl
    | ~ op_implies_or ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f494,definition,
    ! [X0,X1] :
      ( sQ85_spl
    <=> implies(X0,X1) = or(not(X0),X1) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f495,plain,
    ! [X0,X1] :
      ( ~ sQ85_spl
      | implies(X0,X1) = or(not(X0),X1) ),
    inference(component_clause,[status(thm)],[f494]) ).

fof(f497,plain,
    ( sQ85_spl
    | ~ sQ84_spl ),
    inference(split_clause,[status(thm)],[f164,f491,f494]) ).

fof(f498,definition,
    ( sQ86_spl
  <=> op_equiv ),
    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).

fof(f500,plain,
    ( sQ86_spl
    | ~ op_equiv ),
    inference(component_clause,[status(thm)],[f498]) ).

fof(f501,definition,
    ! [X0,X1] :
      ( sQ87_spl
    <=> equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( ~ sQ87_spl
      | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    inference(component_clause,[status(thm)],[f501]) ).

fof(f504,plain,
    ( sQ87_spl
    | ~ sQ86_spl ),
    inference(split_clause,[status(thm)],[f166,f498,f501]) ).

fof(f505,plain,
    ( sQ86_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f500,f169]) ).

fof(f506,plain,
    sQ86_spl,
    inference(contradiction_clause,[status(thm)],[f505]) ).

fof(f507,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f183,f170]) ).

fof(f508,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f507]) ).

fof(f511,plain,
    ( sQ84_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f493,f167]) ).

fof(f512,plain,
    sQ84_spl,
    inference(contradiction_clause,[status(thm)],[f511]) ).

fof(f513,plain,
    ( sQ82_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f486,f178]) ).

fof(f514,plain,
    sQ82_spl,
    inference(contradiction_clause,[status(thm)],[f513]) ).

fof(f527,plain,
    ! [X0,X1] :
      ( ~ sQ85_spl
      | ~ sQ70_spl
      | is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))) ),
    inference(paramodulation,[status(thm)],[f495,f441]) ).

fof(f530,plain,
    ( sQ67_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f431,f172]) ).

fof(f531,plain,
    sQ67_spl,
    inference(contradiction_clause,[status(thm)],[f530]) ).

fof(f532,plain,
    ! [X0,X1] :
      ( ~ sQ85_spl
      | ~ sQ34_spl
      | is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(paramodulation,[status(thm)],[f495,f307]) ).

fof(f554,plain,
    ( sQ69_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f439,f173]) ).

fof(f555,plain,
    sQ69_spl,
    inference(contradiction_clause,[status(thm)],[f554]) ).

fof(f574,plain,
    ( ~ sQ85_spl
    | ~ sQ34_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f532,f229,f306,f494]) ).

fof(f581,plain,
    ! [X0,X1,X2] :
      ( ~ sQ83_spl
      | implies(X0,and(X1,not(X2))) = not(and(X0,implies(X1,X2))) ),
    inference(paramodulation,[status(thm)],[f488,f488]) ).

fof(f582,plain,
    ! [X0,X1,X2] :
      ( ~ sQ83_spl
      | ~ sQ85_spl
      | implies(and(X0,not(X1)),X2) = or(implies(X0,X1),X2) ),
    inference(paramodulation,[status(thm)],[f488,f495]) ).

fof(f721,plain,
    ! [X0,X1,X2] :
      ( ~ sQ83_spl
      | ~ sQ85_spl
      | ~ sQ13_spl
      | is_a_theorem(or(implies(X0,X1),implies(X2,and(X0,not(X1))))) ),
    inference(paramodulation,[status(thm)],[f582,f230]) ).

fof(f738,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | sQ44_spl
      | ~ is_a_theorem(implies(X0,implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[status(thm)],[f345,f185]) ).

fof(f1145,plain,
    ! [X0,X1,X2] :
      ( ~ sQ83_spl
      | ~ sQ85_spl
      | ~ sQ13_spl
      | is_a_theorem(or(implies(X0,X1),not(and(X2,implies(X0,X1))))) ),
    inference(backward_demodulation,[status(thm)],[f581,f721]) ).

fof(f1197,plain,
    ! [X0,X1] :
      ( ~ sQ87_spl
      | ~ sQ83_spl
      | ~ sQ85_spl
      | ~ sQ13_spl
      | is_a_theorem(or(implies(X0,X1),not(equiv(X1,X0)))) ),
    inference(paramodulation,[status(thm)],[f502,f1145]) ).

fof(f1841,plain,
    ( ~ sQ85_spl
    | ~ sQ70_spl
    | ~ sQ1_spl
    | sQ44_spl
    | ~ is_a_theorem(or(implies(sK29_skl,sK28_skl),not(equiv(sK28_skl,sK29_skl)))) ),
    inference(resolution,[status(thm)],[f738,f527]) ).

fof(f1848,plain,
    ( ~ sQ85_spl
    | ~ sQ70_spl
    | ~ sQ1_spl
    | sQ44_spl
    | ~ sQ87_spl
    | ~ sQ83_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1841,f1197]) ).

fof(f1849,plain,
    ( ~ sQ85_spl
    | ~ sQ70_spl
    | ~ sQ1_spl
    | sQ44_spl
    | ~ sQ87_spl
    | ~ sQ83_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f1848]) ).

fof(f1850,plain,
    ( ~ sQ42_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f337,f180]) ).

fof(f1851,plain,
    ~ sQ42_spl,
    inference(contradiction_clause,[status(thm)],[f1850]) ).

fof(f1852,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f187,f346,f432,f443,f490,f497,f504,f506,f508,f512,f514,f531,f555,f574,f1849,f1851]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL494+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.08/15.43  % CPULimit : 300
% 0.08/15.43  % WCLimit  : 300
% 0.08/15.43  % DateTime : Mon Sep 21 00:36:30 UTC 2026
% 0.08/15.43  % CPUTime  : 
% 0.08/15.44  % Drodi V4.1.1
% 0.08/15.48  % Refutation found
% 0.08/15.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/15.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/15.51  % Elapsed time: 0.066040 seconds
% 0.32/15.51  % CPU time: 0.249735 seconds
% 0.32/15.51  % Total memory used: 88.343 MB
% 0.32/15.51  % Net memory used: 88.123 MB
%------------------------------------------------------------------------------