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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC264+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 02:40:34 PM UTC 2026

% Result   : Theorem 0.13s 0.92s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   83 (   9 unt;  12 def)
%            Number of atoms       :  341 (  32 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  412 ( 154   ~; 165   |;  53   &)
%                                         (  18 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  13 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   4 con; 0-2 aty)
%            Number of variables   :  100 (  82   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [U] :
      ( ssList(U)
     => ( totalorderedP(U)
      <=> ! [V] :
            ( ssItem(V)
           => ! [W] :
                ( ssItem(W)
               => ! [X] :
                    ( ssList(X)
                   => ! [Y] :
                        ( ssList(Y)
                       => ! [Z] :
                            ( ssList(Z)
                           => ( app(app(X,cons(V,Y)),cons(W,Z)) = U
                             => leq(V,W) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [U] :
      ( ssList(U)
     => ( strictorderedP(U)
      <=> ! [V] :
            ( ssItem(V)
           => ! [W] :
                ( ssItem(W)
               => ! [X] :
                    ( ssList(X)
                   => ! [Y] :
                        ( ssList(Y)
                       => ! [Z] :
                            ( ssList(Z)
                           => ( app(app(X,cons(V,Y)),cons(W,Z)) = U
                             => lt(V,W) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f93,axiom,
    ! [U] :
      ( ssItem(U)
     => ! [V] :
          ( ssItem(V)
         => ( lt(U,V)
          <=> ( leq(U,V)
              & U != V ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f96,conjecture,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( totalorderedP(U)
                  | ~ strictorderedP(W)
                  | U != W
                  | V != X
                  | ~ ssList(X) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( totalorderedP(U)
                    | ~ strictorderedP(W)
                    | U != W
                    | V != X
                    | ~ ssList(X) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f174,plain,
    ! [U] :
      ( ( totalorderedP(U)
      <=> ! [V] :
            ( ! [W] :
                ( ! [X] :
                    ( ! [Y] :
                        ( ! [Z] :
                            ( leq(V,W)
                            | app(app(X,cons(V,Y)),cons(W,Z)) != U
                            | ~ ssList(Z) )
                        | ~ ssList(Y) )
                    | ~ ssList(X) )
                | ~ ssItem(W) )
            | ~ ssItem(V) ) )
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f175,plain,
    ! [U] :
      ( ( ( ? [V] :
              ( ? [W] :
                  ( ? [X] :
                      ( ? [Y] :
                          ( ? [Z] :
                              ( ~ leq(V,W)
                              & app(app(X,cons(V,Y)),cons(W,Z)) = U
                              & ssList(Z) )
                          & ssList(Y) )
                      & ssList(X) )
                  & ssItem(W) )
              & ssItem(V) )
          | totalorderedP(U) )
        & ( ! [V] :
              ( ! [W] :
                  ( ! [X] :
                      ( ! [Y] :
                          ( ! [Z] :
                              ( leq(V,W)
                              | app(app(X,cons(V,Y)),cons(W,Z)) != U
                              | ~ ssList(Z) )
                          | ~ ssList(Y) )
                      | ~ ssList(X) )
                  | ~ ssItem(W) )
              | ~ ssItem(V) )
          | ~ totalorderedP(U) ) )
      | ~ ssList(U) ),
    inference(NNF_transformation,[status(thm)],[f174]) ).

fof(f176,plain,
    ! [U] :
      ( ( ( ( ~ leq(sK24_skl(U),sK25_skl(U))
            & app(app(sK26_skl(U),cons(sK24_skl(U),sK27_skl(U))),cons(sK25_skl(U),sK28_skl(U))) = U
            & ssList(sK28_skl(U))
            & ssList(sK27_skl(U))
            & ssList(sK26_skl(U))
            & ssItem(sK25_skl(U))
            & ssItem(sK24_skl(U)) )
          | totalorderedP(U) )
        & ( ! [V] :
              ( ! [W] :
                  ( ! [X] :
                      ( ! [Y] :
                          ( ! [Z] :
                              ( leq(V,W)
                              | app(app(X,cons(V,Y)),cons(W,Z)) != U
                              | ~ ssList(Z) )
                          | ~ ssList(Y) )
                      | ~ ssList(X) )
                  | ~ ssItem(W) )
              | ~ ssItem(V) )
          | ~ totalorderedP(U) ) )
      | ~ ssList(U) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl]),skolemize(V,sK24_skl(U)),skolemize(W,sK25_skl(U)),skolemize(X,sK26_skl(U)),skolemize(Y,sK27_skl(U)),skolemize(Z,sK28_skl(U))],[f175]) ).

fof(f178,plain,
    ! [X0] :
      ( ssItem(sK24_skl(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f179,plain,
    ! [X0] :
      ( ssItem(sK25_skl(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f180,plain,
    ! [X0] :
      ( ssList(sK26_skl(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f181,plain,
    ! [X0] :
      ( ssList(sK27_skl(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f182,plain,
    ! [X0] :
      ( ssList(sK28_skl(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f183,plain,
    ! [X0] :
      ( app(app(sK26_skl(X0),cons(sK24_skl(X0),sK27_skl(X0))),cons(sK25_skl(X0),sK28_skl(X0))) = X0
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ leq(sK24_skl(X0),sK25_skl(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f185,plain,
    ! [U] :
      ( ( strictorderedP(U)
      <=> ! [V] :
            ( ! [W] :
                ( ! [X] :
                    ( ! [Y] :
                        ( ! [Z] :
                            ( lt(V,W)
                            | app(app(X,cons(V,Y)),cons(W,Z)) != U
                            | ~ ssList(Z) )
                        | ~ ssList(Y) )
                    | ~ ssList(X) )
                | ~ ssItem(W) )
            | ~ ssItem(V) ) )
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f186,plain,
    ! [U] :
      ( ( ( ? [V] :
              ( ? [W] :
                  ( ? [X] :
                      ( ? [Y] :
                          ( ? [Z] :
                              ( ~ lt(V,W)
                              & app(app(X,cons(V,Y)),cons(W,Z)) = U
                              & ssList(Z) )
                          & ssList(Y) )
                      & ssList(X) )
                  & ssItem(W) )
              & ssItem(V) )
          | strictorderedP(U) )
        & ( ! [V] :
              ( ! [W] :
                  ( ! [X] :
                      ( ! [Y] :
                          ( ! [Z] :
                              ( lt(V,W)
                              | app(app(X,cons(V,Y)),cons(W,Z)) != U
                              | ~ ssList(Z) )
                          | ~ ssList(Y) )
                      | ~ ssList(X) )
                  | ~ ssItem(W) )
              | ~ ssItem(V) )
          | ~ strictorderedP(U) ) )
      | ~ ssList(U) ),
    inference(NNF_transformation,[status(thm)],[f185]) ).

fof(f187,plain,
    ! [U] :
      ( ( ( ( ~ lt(sK29_skl(U),sK30_skl(U))
            & app(app(sK31_skl(U),cons(sK29_skl(U),sK32_skl(U))),cons(sK30_skl(U),sK33_skl(U))) = U
            & ssList(sK33_skl(U))
            & ssList(sK32_skl(U))
            & ssList(sK31_skl(U))
            & ssItem(sK30_skl(U))
            & ssItem(sK29_skl(U)) )
          | strictorderedP(U) )
        & ( ! [V] :
              ( ! [W] :
                  ( ! [X] :
                      ( ! [Y] :
                          ( ! [Z] :
                              ( lt(V,W)
                              | app(app(X,cons(V,Y)),cons(W,Z)) != U
                              | ~ ssList(Z) )
                          | ~ ssList(Y) )
                      | ~ ssList(X) )
                  | ~ ssItem(W) )
              | ~ ssItem(V) )
          | ~ strictorderedP(U) ) )
      | ~ ssList(U) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl]),skolemize(V,sK29_skl(U)),skolemize(W,sK30_skl(U)),skolemize(X,sK31_skl(U)),skolemize(Y,sK32_skl(U)),skolemize(Z,sK33_skl(U))],[f186]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( lt(X1,X2)
      | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(X3)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f187]) ).

fof(f406,plain,
    ! [U] :
      ( ! [V] :
          ( ( lt(U,V)
          <=> ( leq(U,V)
              & U != V ) )
          | ~ ssItem(V) )
      | ~ ssItem(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f93]) ).

fof(f407,plain,
    ! [U] :
      ( ! [V] :
          ( ( ( ~ leq(U,V)
              | U = V
              | lt(U,V) )
            & ( ( leq(U,V)
                & U != V )
              | ~ lt(U,V) ) )
          | ~ ssItem(V) )
      | ~ ssItem(U) ),
    inference(NNF_transformation,[status(thm)],[f406]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f407]) ).

fof(f415,plain,
    ? [U] :
      ( ? [V] :
          ( ? [W] :
              ( ? [X] :
                  ( ~ totalorderedP(U)
                  & strictorderedP(W)
                  & U = W
                  & V = X
                  & ssList(X) )
              & ssList(W) )
          & ssList(V) )
      & ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f97]) ).

fof(f416,plain,
    ? [U] :
      ( ? [V] :
          ( ? [W] :
              ( ~ totalorderedP(U)
              & strictorderedP(W)
              & U = W
              & ? [X] :
                  ( V = X
                  & ssList(X) )
              & ssList(W) )
          & ssList(V) )
      & ssList(U) ),
    inference(miniscoping,[status(thm)],[f415]) ).

fof(f417,plain,
    ( ~ totalorderedP(sK47_skl)
    & strictorderedP(sK49_skl)
    & sK47_skl = sK49_skl
    & sK48_skl = sK50_skl
    & ssList(sK50_skl)
    & ssList(sK49_skl)
    & ssList(sK48_skl)
    & ssList(sK47_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f416]) ).

fof(f418,plain,
    ssList(sK47_skl),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f423,plain,
    sK47_skl = sK49_skl,
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f424,plain,
    strictorderedP(sK49_skl),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f425,plain,
    ~ totalorderedP(sK47_skl),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f437,plain,
    ! [X0,X1,X2,X3,X4] :
      ( lt(X1,X3)
      | ~ ssList(X4)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
    inference(destructive_equality_resolution,[status(thm)],[f188]) ).

fof(f461,plain,
    strictorderedP(sK47_skl),
    inference(forward_demodulation,[status(thm)],[f423,f424]) ).

fof(f605,definition,
    ( sQ21_spl
  <=> ssList(sK47_skl) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f607,plain,
    ( sQ21_spl
    | ~ ssList(sK47_skl) ),
    inference(component_clause,[status(thm)],[f605]) ).

fof(f617,plain,
    ( sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f607,f418]) ).

fof(f618,plain,
    sQ21_spl,
    inference(contradiction_clause,[status(thm)],[f617]) ).

fof(f655,plain,
    ( app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl))) = sK47_skl
    | ~ ssList(sK47_skl) ),
    inference(resolution,[status(thm)],[f183,f425]) ).

fof(f657,definition,
    ( sQ28_spl
  <=> app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl))) = sK47_skl ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f658,plain,
    ( ~ sQ28_spl
    | app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl))) = sK47_skl ),
    inference(component_clause,[status(thm)],[f657]) ).

fof(f660,plain,
    ( sQ28_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f655,f605,f657]) ).

fof(f683,plain,
    ( ~ sQ28_spl
    | lt(sK24_skl(sK47_skl),sK25_skl(sK47_skl))
    | ~ ssList(sK28_skl(sK47_skl))
    | ~ ssList(sK27_skl(sK47_skl))
    | ~ ssList(sK26_skl(sK47_skl))
    | ~ ssItem(sK25_skl(sK47_skl))
    | ~ ssItem(sK24_skl(sK47_skl))
    | ~ strictorderedP(sK47_skl)
    | ~ ssList(app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl)))) ),
    inference(paramodulation,[status(thm)],[f658,f437]) ).

fof(f695,definition,
    ( sQ33_spl
  <=> ssList(app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl)))) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f697,plain,
    ( sQ33_spl
    | ~ ssList(app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl)))) ),
    inference(component_clause,[status(thm)],[f695]) ).

fof(f701,definition,
    ( sQ35_spl
  <=> ssItem(sK24_skl(sK47_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f703,plain,
    ( sQ35_spl
    | ~ ssItem(sK24_skl(sK47_skl)) ),
    inference(component_clause,[status(thm)],[f701]) ).

fof(f704,definition,
    ( sQ36_spl
  <=> ssItem(sK25_skl(sK47_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f706,plain,
    ( sQ36_spl
    | ~ ssItem(sK25_skl(sK47_skl)) ),
    inference(component_clause,[status(thm)],[f704]) ).

fof(f707,definition,
    ( sQ37_spl
  <=> ssList(sK26_skl(sK47_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f709,plain,
    ( sQ37_spl
    | ~ ssList(sK26_skl(sK47_skl)) ),
    inference(component_clause,[status(thm)],[f707]) ).

fof(f710,definition,
    ( sQ38_spl
  <=> ssList(sK27_skl(sK47_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f712,plain,
    ( sQ38_spl
    | ~ ssList(sK27_skl(sK47_skl)) ),
    inference(component_clause,[status(thm)],[f710]) ).

fof(f713,definition,
    ( sQ39_spl
  <=> ssList(sK28_skl(sK47_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f715,plain,
    ( sQ39_spl
    | ~ ssList(sK28_skl(sK47_skl)) ),
    inference(component_clause,[status(thm)],[f713]) ).

fof(f716,definition,
    ( sQ40_spl
  <=> lt(sK24_skl(sK47_skl),sK25_skl(sK47_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f717,plain,
    ( ~ sQ40_spl
    | lt(sK24_skl(sK47_skl),sK25_skl(sK47_skl)) ),
    inference(component_clause,[status(thm)],[f716]) ).

fof(f726,definition,
    ( sQ43_spl
  <=> leq(sK24_skl(sK47_skl),sK25_skl(sK47_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f727,plain,
    ( ~ sQ43_spl
    | leq(sK24_skl(sK47_skl),sK25_skl(sK47_skl)) ),
    inference(component_clause,[status(thm)],[f726]) ).

fof(f737,definition,
    ( sQ46_spl
  <=> strictorderedP(sK47_skl) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f739,plain,
    ( sQ46_spl
    | ~ strictorderedP(sK47_skl) ),
    inference(component_clause,[status(thm)],[f737]) ).

fof(f740,plain,
    ( ~ sQ28_spl
    | sQ40_spl
    | ~ sQ39_spl
    | ~ sQ38_spl
    | ~ sQ37_spl
    | ~ sQ36_spl
    | ~ sQ35_spl
    | ~ sQ46_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f683,f695,f737,f701,f704,f707,f710,f713,f716,f657]) ).

fof(f741,definition,
    ( sQ47_spl
  <=> totalorderedP(sK47_skl) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f742,plain,
    ( ~ sQ47_spl
    | totalorderedP(sK47_skl) ),
    inference(component_clause,[status(thm)],[f741]) ).

fof(f832,plain,
    ( sQ39_spl
    | totalorderedP(sK47_skl)
    | ~ ssList(sK47_skl) ),
    inference(resolution,[status(thm)],[f715,f182]) ).

fof(f833,plain,
    ( sQ39_spl
    | sQ47_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f832,f605,f741,f713]) ).

fof(f834,plain,
    ( sQ36_spl
    | totalorderedP(sK47_skl)
    | ~ ssList(sK47_skl) ),
    inference(resolution,[status(thm)],[f706,f179]) ).

fof(f835,plain,
    ( sQ36_spl
    | sQ47_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f834,f605,f741,f704]) ).

fof(f841,plain,
    ( sQ37_spl
    | totalorderedP(sK47_skl)
    | ~ ssList(sK47_skl) ),
    inference(resolution,[status(thm)],[f709,f180]) ).

fof(f842,plain,
    ( sQ37_spl
    | sQ47_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f841,f605,f741,f707]) ).

fof(f843,plain,
    ( sQ33_spl
    | ~ sQ28_spl
    | ~ ssList(sK47_skl) ),
    inference(forward_demodulation,[status(thm)],[f658,f697]) ).

fof(f844,plain,
    ( sQ33_spl
    | ~ sQ28_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f843,f418]) ).

fof(f845,plain,
    ( sQ33_spl
    | ~ sQ28_spl ),
    inference(contradiction_clause,[status(thm)],[f844]) ).

fof(f849,plain,
    ( sQ38_spl
    | totalorderedP(sK47_skl)
    | ~ ssList(sK47_skl) ),
    inference(resolution,[status(thm)],[f712,f181]) ).

fof(f850,plain,
    ( sQ38_spl
    | sQ47_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f849,f605,f741,f710]) ).

fof(f863,plain,
    ( sQ35_spl
    | totalorderedP(sK47_skl)
    | ~ ssList(sK47_skl) ),
    inference(resolution,[status(thm)],[f703,f178]) ).

fof(f864,plain,
    ( sQ35_spl
    | sQ47_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f863,f605,f741,f701]) ).

fof(f884,plain,
    ( ~ sQ43_spl
    | totalorderedP(sK47_skl)
    | ~ ssList(sK47_skl) ),
    inference(resolution,[status(thm)],[f727,f184]) ).

fof(f885,plain,
    ( ~ sQ43_spl
    | sQ47_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f884,f605,f741,f726]) ).

fof(f911,plain,
    ( sQ46_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f739,f461]) ).

fof(f912,plain,
    sQ46_spl,
    inference(contradiction_clause,[status(thm)],[f911]) ).

fof(f924,plain,
    ( ~ sQ47_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f742,f425]) ).

fof(f925,plain,
    ~ sQ47_spl,
    inference(contradiction_clause,[status(thm)],[f924]) ).

fof(f3609,plain,
    ( ~ sQ40_spl
    | leq(sK24_skl(sK47_skl),sK25_skl(sK47_skl))
    | ~ ssItem(sK25_skl(sK47_skl))
    | ~ ssItem(sK24_skl(sK47_skl)) ),
    inference(resolution,[status(thm)],[f409,f717]) ).

fof(f3611,plain,
    ( ~ sQ40_spl
    | sQ43_spl
    | ~ sQ36_spl
    | ~ sQ35_spl ),
    inference(split_clause,[status(thm)],[f3609,f701,f704,f726,f716]) ).

fof(f3613,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f618,f660,f740,f833,f835,f842,f845,f850,f864,f885,f912,f925,f3611]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC264+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.55  % Computer : n005.cluster.edu
% 0.10/0.55  % Model    : x86_64 x86_64
% 0.10/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55  % Memory   : 8046.5625MB
% 0.10/0.55  % OS       : Linux 6.8.0-71-generic
% 0.10/0.55  % CPULimit : 300
% 0.10/0.55  % WCLimit  : 300
% 0.10/0.55  % DateTime : Mon Sep 21 08:09:18 UTC 2026
% 0.10/0.55  % CPUTime  : 
% 0.10/0.57  % Drodi V4.1.1
% 0.13/0.92  % Refutation found
% 0.13/0.92  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.92  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.97  % Elapsed time: 0.397372 seconds
% 0.13/0.97  % CPU time: 2.817685 seconds
% 0.13/0.97  % Total memory used: 146.141 MB
% 0.13/0.97  % Net memory used: 143.927 MB
%------------------------------------------------------------------------------