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Drodi-SAT---4.1.1.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : LCL637+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n018.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 01:10:20 PM UTC 2026

% Result   : CounterSatisfiable 0.13s 0.38s
% Output   : Saturation 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ? [X] :
        ( p100(X)
        & ~ p101(X)
        & ( ~ p101(X)
          | p100(X) )
        & ( ~ p102(X)
          | p101(X) )
        & ( ~ p100(X)
          | ( ( ~ p1(X)
              | ! [Y] :
                  ( ~ p100(Y)
                  | p1(Y)
                  | ~ r1(X,Y) ) )
            & ( p1(X)
              | ! [Y] :
                  ( ~ p100(Y)
                  | ~ p1(Y)
                  | ~ r1(X,Y) ) ) ) )
        & ( ~ p101(X)
          | ( ( ~ p2(X)
              | ! [Y] :
                  ( ~ p101(Y)
                  | p2(Y)
                  | ~ r1(X,Y) ) )
            & ( p2(X)
              | ! [Y] :
                  ( ~ p101(Y)
                  | ~ p2(Y)
                  | ~ r1(X,Y) ) ) ) )
        & ( ~ ( p100(X)
              & ~ p101(X) )
          | ( ~ ! [Y] :
                  ( ~ ( p101(Y)
                      & ~ p102(Y)
                      & p2(Y) )
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( ~ ( p101(Y)
                      & ~ p102(Y)
                      & ~ p2(Y) )
                  | ~ r1(X,Y) ) ) )
        & ! [Y] :
            ( ( ( ~ p101(Y)
                | p100(Y) )
              & ( ~ p102(Y)
                | p101(Y) )
              & ( ~ p100(Y)
                | ( ( ~ p1(Y)
                    | ! [X] :
                        ( ~ p100(X)
                        | p1(X)
                        | ~ r1(Y,X) ) )
                  & ( p1(Y)
                    | ! [X] :
                        ( ~ p100(X)
                        | ~ p1(X)
                        | ~ r1(Y,X) ) ) ) )
              & ( ~ p101(Y)
                | ( ( ~ p2(Y)
                    | ! [X] :
                        ( ~ p101(X)
                        | p2(X)
                        | ~ r1(Y,X) ) )
                  & ( p2(Y)
                    | ! [X] :
                        ( ~ p101(X)
                        | ~ p2(X)
                        | ~ r1(Y,X) ) ) ) )
              & ( ~ ( p100(Y)
                    & ~ p101(Y) )
                | ( ~ ! [X] :
                        ( ~ ( p101(X)
                            & ~ p102(X)
                            & p2(X) )
                        | ~ r1(Y,X) )
                  & ~ ! [X] :
                        ( ~ ( p101(X)
                            & ~ p102(X)
                            & ~ p2(X) )
                        | ~ r1(Y,X) ) ) ) )
            | ~ r1(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ~ ? [X] :
          ( p100(X)
          & ~ p101(X)
          & ( ~ p101(X)
            | p100(X) )
          & ( ~ p102(X)
            | p101(X) )
          & ( ~ p100(X)
            | ( ( ~ p1(X)
                | ! [Y] :
                    ( ~ p100(Y)
                    | p1(Y)
                    | ~ r1(X,Y) ) )
              & ( p1(X)
                | ! [Y] :
                    ( ~ p100(Y)
                    | ~ p1(Y)
                    | ~ r1(X,Y) ) ) ) )
          & ( ~ p101(X)
            | ( ( ~ p2(X)
                | ! [Y] :
                    ( ~ p101(Y)
                    | p2(Y)
                    | ~ r1(X,Y) ) )
              & ( p2(X)
                | ! [Y] :
                    ( ~ p101(Y)
                    | ~ p2(Y)
                    | ~ r1(X,Y) ) ) ) )
          & ( ~ ( p100(X)
                & ~ p101(X) )
            | ( ~ ! [Y] :
                    ( ~ ( p101(Y)
                        & ~ p102(Y)
                        & p2(Y) )
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( ~ ( p101(Y)
                        & ~ p102(Y)
                        & ~ p2(Y) )
                    | ~ r1(X,Y) ) ) )
          & ! [Y] :
              ( ( ( ~ p101(Y)
                  | p100(Y) )
                & ( ~ p102(Y)
                  | p101(Y) )
                & ( ~ p100(Y)
                  | ( ( ~ p1(Y)
                      | ! [X] :
                          ( ~ p100(X)
                          | p1(X)
                          | ~ r1(Y,X) ) )
                    & ( p1(Y)
                      | ! [X] :
                          ( ~ p100(X)
                          | ~ p1(X)
                          | ~ r1(Y,X) ) ) ) )
                & ( ~ p101(Y)
                  | ( ( ~ p2(Y)
                      | ! [X] :
                          ( ~ p101(X)
                          | p2(X)
                          | ~ r1(Y,X) ) )
                    & ( p2(Y)
                      | ! [X] :
                          ( ~ p101(X)
                          | ~ p2(X)
                          | ~ r1(Y,X) ) ) ) )
                & ( ~ ( p100(Y)
                      & ~ p101(Y) )
                  | ( ~ ! [X] :
                          ( ~ ( p101(X)
                              & ~ p102(X)
                              & p2(X) )
                          | ~ r1(Y,X) )
                    & ~ ! [X] :
                          ( ~ ( p101(X)
                              & ~ p102(X)
                              & ~ p2(X) )
                          | ~ r1(Y,X) ) ) ) )
              | ~ r1(X,Y) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [X] :
      ( p100(X)
      & ~ p101(X)
      & ( ~ p101(X)
        | p100(X) )
      & ( ~ p102(X)
        | p101(X) )
      & ( ~ p100(X)
        | ( ( ~ p1(X)
            | ! [Y] :
                ( ~ p100(Y)
                | p1(Y)
                | ~ r1(X,Y) ) )
          & ( p1(X)
            | ! [Y] :
                ( ~ p100(Y)
                | ~ p1(Y)
                | ~ r1(X,Y) ) ) ) )
      & ( ~ p101(X)
        | ( ( ~ p2(X)
            | ! [Y] :
                ( ~ p101(Y)
                | p2(Y)
                | ~ r1(X,Y) ) )
          & ( p2(X)
            | ! [Y] :
                ( ~ p101(Y)
                | ~ p2(Y)
                | ~ r1(X,Y) ) ) ) )
      & ( ~ p100(X)
        | p101(X)
        | ( ? [Y] :
              ( p101(Y)
              & ~ p102(Y)
              & p2(Y)
              & r1(X,Y) )
          & ? [Y] :
              ( p101(Y)
              & ~ p102(Y)
              & ~ p2(Y)
              & r1(X,Y) ) ) )
      & ! [Y] :
          ( ( ( ~ p101(Y)
              | p100(Y) )
            & ( ~ p102(Y)
              | p101(Y) )
            & ( ~ p100(Y)
              | ( ( ~ p1(Y)
                  | ! [X] :
                      ( ~ p100(X)
                      | p1(X)
                      | ~ r1(Y,X) ) )
                & ( p1(Y)
                  | ! [X] :
                      ( ~ p100(X)
                      | ~ p1(X)
                      | ~ r1(Y,X) ) ) ) )
            & ( ~ p101(Y)
              | ( ( ~ p2(Y)
                  | ! [X] :
                      ( ~ p101(X)
                      | p2(X)
                      | ~ r1(Y,X) ) )
                & ( p2(Y)
                  | ! [X] :
                      ( ~ p101(X)
                      | ~ p2(X)
                      | ~ r1(Y,X) ) ) ) )
            & ( ~ p100(Y)
              | p101(Y)
              | ( ? [X] :
                    ( p101(X)
                    & ~ p102(X)
                    & p2(X)
                    & r1(Y,X) )
                & ? [X] :
                    ( p101(X)
                    & ~ p102(X)
                    & ~ p2(X)
                    & r1(Y,X) ) ) ) )
          | ~ r1(X,Y) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f4,plain,
    ( p100(sK0_skl)
    & ~ p101(sK0_skl)
    & ( ~ p101(sK0_skl)
      | p100(sK0_skl) )
    & ( ~ p102(sK0_skl)
      | p101(sK0_skl) )
    & ( ~ p100(sK0_skl)
      | ( ( ~ p1(sK0_skl)
          | ! [Y] :
              ( ~ p100(Y)
              | p1(Y)
              | ~ r1(sK0_skl,Y) ) )
        & ( p1(sK0_skl)
          | ! [Y] :
              ( ~ p100(Y)
              | ~ p1(Y)
              | ~ r1(sK0_skl,Y) ) ) ) )
    & ( ~ p101(sK0_skl)
      | ( ( ~ p2(sK0_skl)
          | ! [Y] :
              ( ~ p101(Y)
              | p2(Y)
              | ~ r1(sK0_skl,Y) ) )
        & ( p2(sK0_skl)
          | ! [Y] :
              ( ~ p101(Y)
              | ~ p2(Y)
              | ~ r1(sK0_skl,Y) ) ) ) )
    & ( ~ p100(sK0_skl)
      | p101(sK0_skl)
      | ( p101(sK4_skl)
        & ~ p102(sK4_skl)
        & p2(sK4_skl)
        & r1(sK0_skl,sK4_skl)
        & p101(sK3_skl)
        & ~ p102(sK3_skl)
        & ~ p2(sK3_skl)
        & r1(sK0_skl,sK3_skl) ) )
    & ! [Y] :
        ( ( ( ~ p101(Y)
            | p100(Y) )
          & ( ~ p102(Y)
            | p101(Y) )
          & ( ~ p100(Y)
            | ( ( ~ p1(Y)
                | ! [X] :
                    ( ~ p100(X)
                    | p1(X)
                    | ~ r1(Y,X) ) )
              & ( p1(Y)
                | ! [X] :
                    ( ~ p100(X)
                    | ~ p1(X)
                    | ~ r1(Y,X) ) ) ) )
          & ( ~ p101(Y)
            | ( ( ~ p2(Y)
                | ! [X] :
                    ( ~ p101(X)
                    | p2(X)
                    | ~ r1(Y,X) ) )
              & ( p2(Y)
                | ! [X] :
                    ( ~ p101(X)
                    | ~ p2(X)
                    | ~ r1(Y,X) ) ) ) )
          & ( ~ p100(Y)
            | p101(Y)
            | ( p101(sK2_skl(Y))
              & ~ p102(sK2_skl(Y))
              & p2(sK2_skl(Y))
              & r1(Y,sK2_skl(Y))
              & p101(sK1_skl(Y))
              & ~ p102(sK1_skl(Y))
              & ~ p2(sK1_skl(Y))
              & r1(Y,sK1_skl(Y)) ) ) )
        | ~ r1(sK0_skl,Y) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(X,sK2_skl(Y)),skolemize(Y,sK3_skl),skolemize(Y,sK4_skl)],[f3]) ).

fof(f5,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | r1(X0,sK1_skl(X0))
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ~ p2(sK1_skl(X0))
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f7,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ~ p102(sK1_skl(X0))
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | p101(sK1_skl(X0))
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | r1(X0,sK2_skl(X0))
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | p2(sK2_skl(X0))
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ~ p102(sK2_skl(X0))
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | p101(sK2_skl(X0))
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ p101(X0)
      | p2(X0)
      | ~ p101(X1)
      | ~ p2(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ p101(X0)
      | ~ p2(X0)
      | ~ p101(X1)
      | p2(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ p100(X0)
      | p1(X0)
      | ~ p100(X1)
      | ~ p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ p100(X0)
      | ~ p1(X0)
      | ~ p100(X1)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ p102(X0)
      | p101(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ p101(X0)
      | p100(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f19,plain,
    ( ~ p100(sK0_skl)
    | p101(sK0_skl)
    | r1(sK0_skl,sK3_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f20,plain,
    ( ~ p100(sK0_skl)
    | p101(sK0_skl)
    | ~ p2(sK3_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f21,plain,
    ( ~ p100(sK0_skl)
    | p101(sK0_skl)
    | ~ p102(sK3_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f22,plain,
    ( ~ p100(sK0_skl)
    | p101(sK0_skl)
    | p101(sK3_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f23,plain,
    ( ~ p100(sK0_skl)
    | p101(sK0_skl)
    | r1(sK0_skl,sK4_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f24,plain,
    ( ~ p100(sK0_skl)
    | p101(sK0_skl)
    | p2(sK4_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f25,plain,
    ( ~ p100(sK0_skl)
    | p101(sK0_skl)
    | ~ p102(sK4_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f26,plain,
    ( ~ p100(sK0_skl)
    | p101(sK0_skl)
    | p101(sK4_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ p100(sK0_skl)
      | p1(sK0_skl)
      | ~ p100(X0)
      | ~ p1(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ p100(sK0_skl)
      | ~ p1(sK0_skl)
      | ~ p100(X0)
      | p1(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f31,plain,
    ( ~ p102(sK0_skl)
    | p101(sK0_skl) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f33,plain,
    ~ p101(sK0_skl),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f34,plain,
    p100(sK0_skl),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f35,definition,
    ( sQ0_spl
  <=> r1(sK0_skl,sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f36,plain,
    ( ~ sQ0_spl
    | r1(sK0_skl,sK3_skl) ),
    inference(component_clause,[status(thm)],[f35]) ).

fof(f38,definition,
    ( sQ1_spl
  <=> p101(sK0_skl) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f39,plain,
    ( ~ sQ1_spl
    | p101(sK0_skl) ),
    inference(component_clause,[status(thm)],[f38]) ).

fof(f41,definition,
    ( sQ2_spl
  <=> p100(sK0_skl) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f43,plain,
    ( sQ2_spl
    | ~ p100(sK0_skl) ),
    inference(component_clause,[status(thm)],[f41]) ).

fof(f44,plain,
    ( ~ sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f19,f35,f38,f41]) ).

fof(f45,definition,
    ( sQ3_spl
  <=> p2(sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f47,plain,
    ( sQ3_spl
    | ~ p2(sK3_skl) ),
    inference(component_clause,[status(thm)],[f45]) ).

fof(f48,plain,
    ( ~ sQ2_spl
    | sQ1_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f20,f45,f38,f41]) ).

fof(f49,definition,
    ( sQ4_spl
  <=> p102(sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f51,plain,
    ( sQ4_spl
    | ~ p102(sK3_skl) ),
    inference(component_clause,[status(thm)],[f49]) ).

fof(f52,plain,
    ( ~ sQ2_spl
    | sQ1_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f21,f49,f38,f41]) ).

fof(f53,definition,
    ( sQ5_spl
  <=> p101(sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f54,plain,
    ( ~ sQ5_spl
    | p101(sK3_skl) ),
    inference(component_clause,[status(thm)],[f53]) ).

fof(f56,plain,
    ( ~ sQ2_spl
    | sQ1_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f22,f53,f38,f41]) ).

fof(f57,definition,
    ( sQ6_spl
  <=> r1(sK0_skl,sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f58,plain,
    ( ~ sQ6_spl
    | r1(sK0_skl,sK4_skl) ),
    inference(component_clause,[status(thm)],[f57]) ).

fof(f60,plain,
    ( ~ sQ2_spl
    | sQ1_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f23,f57,f38,f41]) ).

fof(f61,definition,
    ( sQ7_spl
  <=> p2(sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f62,plain,
    ( ~ sQ7_spl
    | p2(sK4_skl) ),
    inference(component_clause,[status(thm)],[f61]) ).

fof(f64,plain,
    ( ~ sQ2_spl
    | sQ1_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f24,f61,f38,f41]) ).

fof(f65,definition,
    ( sQ8_spl
  <=> p102(sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f67,plain,
    ( sQ8_spl
    | ~ p102(sK4_skl) ),
    inference(component_clause,[status(thm)],[f65]) ).

fof(f68,plain,
    ( ~ sQ2_spl
    | sQ1_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f25,f65,f38,f41]) ).

fof(f69,definition,
    ( sQ9_spl
  <=> p101(sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f70,plain,
    ( ~ sQ9_spl
    | p101(sK4_skl) ),
    inference(component_clause,[status(thm)],[f69]) ).

fof(f72,plain,
    ( ~ sQ2_spl
    | sQ1_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f26,f69,f38,f41]) ).

fof(f73,definition,
    ! [X0] :
      ( sQ10_spl
    <=> ( ~ p101(X0)
        | ~ p2(X0)
        | ~ r1(sK0_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | ~ p101(X0)
      | ~ p2(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(component_clause,[status(thm)],[f73]) ).

fof(f80,definition,
    ! [X0] :
      ( sQ12_spl
    <=> ( ~ p101(X0)
        | p2(X0)
        | ~ r1(sK0_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | ~ p101(X0)
      | p2(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(component_clause,[status(thm)],[f80]) ).

fof(f84,definition,
    ! [X0] :
      ( sQ13_spl
    <=> ( ~ p100(X0)
        | ~ p1(X0)
        | ~ r1(sK0_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | ~ p100(X0)
      | ~ p1(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(component_clause,[status(thm)],[f84]) ).

fof(f87,definition,
    ( sQ14_spl
  <=> p1(sK0_skl) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f88,plain,
    ( ~ sQ14_spl
    | p1(sK0_skl) ),
    inference(component_clause,[status(thm)],[f87]) ).

fof(f90,plain,
    ( ~ sQ2_spl
    | sQ14_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f29,f84,f87,f41]) ).

fof(f91,definition,
    ! [X0] :
      ( sQ15_spl
    <=> ( ~ p100(X0)
        | p1(X0)
        | ~ r1(sK0_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ p100(X0)
      | p1(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(component_clause,[status(thm)],[f91]) ).

fof(f94,plain,
    ( ~ sQ2_spl
    | ~ sQ14_spl
    | sQ15_spl ),
    inference(split_clause,[status(thm)],[f30,f91,f87,f41]) ).

fof(f95,definition,
    ( sQ16_spl
  <=> p102(sK0_skl) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f97,plain,
    ( sQ16_spl
    | ~ p102(sK0_skl) ),
    inference(component_clause,[status(thm)],[f95]) ).

fof(f98,plain,
    ( ~ sQ16_spl
    | sQ1_spl ),
    inference(split_clause,[status(thm)],[f31,f38,f95]) ).

fof(f100,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f39,f33]) ).

fof(f101,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f100]) ).

fof(f102,plain,
    ( sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f43,f34]) ).

fof(f103,plain,
    sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f102]) ).

fof(f104,plain,
    ( ~ sQ0_spl
    | ~ p101(sK3_skl)
    | p100(sK3_skl) ),
    inference(resolution,[status(thm)],[f36,f18]) ).

fof(f105,plain,
    ( ~ sQ0_spl
    | ~ p102(sK3_skl)
    | p101(sK3_skl) ),
    inference(resolution,[status(thm)],[f36,f17]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ p100(sK3_skl)
      | ~ p1(sK3_skl)
      | ~ p100(X0)
      | p1(X0)
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f36,f16]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ p100(sK3_skl)
      | p1(sK3_skl)
      | ~ p100(X0)
      | ~ p1(X0)
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f36,f15]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ p101(sK3_skl)
      | ~ p2(sK3_skl)
      | ~ p101(X0)
      | p2(X0)
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f36,f14]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ p101(sK3_skl)
      | p2(sK3_skl)
      | ~ p101(X0)
      | ~ p2(X0)
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f36,f13]) ).

fof(f110,definition,
    ( sQ17_spl
  <=> p100(sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f111,plain,
    ( ~ sQ17_spl
    | p100(sK3_skl) ),
    inference(component_clause,[status(thm)],[f110]) ).

fof(f113,plain,
    ( ~ sQ0_spl
    | ~ sQ5_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f104,f110,f53,f35]) ).

fof(f114,plain,
    ( ~ sQ0_spl
    | ~ sQ4_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f105,f53,f49,f35]) ).

fof(f115,definition,
    ! [X0] :
      ( sQ18_spl
    <=> ( ~ p100(X0)
        | p1(X0)
        | ~ r1(sK3_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | ~ p100(X0)
      | p1(X0)
      | ~ r1(sK3_skl,X0) ),
    inference(component_clause,[status(thm)],[f115]) ).

fof(f118,definition,
    ( sQ19_spl
  <=> p1(sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f119,plain,
    ( ~ sQ19_spl
    | p1(sK3_skl) ),
    inference(component_clause,[status(thm)],[f118]) ).

fof(f120,plain,
    ( sQ19_spl
    | ~ p1(sK3_skl) ),
    inference(component_clause,[status(thm)],[f118]) ).

fof(f121,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | ~ sQ19_spl
    | sQ18_spl ),
    inference(split_clause,[status(thm)],[f106,f115,f118,f110,f35]) ).

fof(f122,definition,
    ! [X0] :
      ( sQ20_spl
    <=> ( ~ p100(X0)
        | ~ p1(X0)
        | ~ r1(sK3_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | ~ p100(X0)
      | ~ p1(X0)
      | ~ r1(sK3_skl,X0) ),
    inference(component_clause,[status(thm)],[f122]) ).

fof(f125,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sQ19_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f107,f122,f118,f110,f35]) ).

fof(f126,definition,
    ! [X0] :
      ( sQ21_spl
    <=> ( ~ p101(X0)
        | p2(X0)
        | ~ r1(sK3_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f129,plain,
    ( ~ sQ0_spl
    | ~ sQ5_spl
    | ~ sQ3_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f108,f126,f45,f53,f35]) ).

fof(f130,definition,
    ! [X0] :
      ( sQ22_spl
    <=> ( ~ p101(X0)
        | ~ p2(X0)
        | ~ r1(sK3_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f131,plain,
    ! [X0] :
      ( ~ sQ22_spl
      | ~ p101(X0)
      | ~ p2(X0)
      | ~ r1(sK3_skl,X0) ),
    inference(component_clause,[status(thm)],[f130]) ).

fof(f133,plain,
    ( ~ sQ0_spl
    | ~ sQ5_spl
    | sQ3_spl
    | sQ22_spl ),
    inference(split_clause,[status(thm)],[f109,f130,f45,f53,f35]) ).

fof(f134,plain,
    ( ~ sQ0_spl
    | ~ p100(sK3_skl)
    | p101(sK3_skl)
    | p101(sK1_skl(sK3_skl)) ),
    inference(resolution,[status(thm)],[f8,f36]) ).

fof(f135,definition,
    ( sQ23_spl
  <=> p101(sK1_skl(sK3_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f138,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sQ5_spl
    | sQ23_spl ),
    inference(split_clause,[status(thm)],[f134,f135,f53,f110,f35]) ).

fof(f139,plain,
    ( ~ sQ0_spl
    | ~ p100(sK3_skl)
    | p101(sK3_skl)
    | p2(sK2_skl(sK3_skl)) ),
    inference(resolution,[status(thm)],[f10,f36]) ).

fof(f140,definition,
    ( sQ24_spl
  <=> p2(sK2_skl(sK3_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f143,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sQ5_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f139,f140,f53,f110,f35]) ).

fof(f144,plain,
    ( ~ sQ0_spl
    | ~ p100(sK3_skl)
    | p101(sK3_skl)
    | p101(sK2_skl(sK3_skl)) ),
    inference(resolution,[status(thm)],[f12,f36]) ).

fof(f145,definition,
    ( sQ25_spl
  <=> p101(sK2_skl(sK3_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f148,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sQ5_spl
    | sQ25_spl ),
    inference(split_clause,[status(thm)],[f144,f145,f53,f110,f35]) ).

fof(f149,plain,
    ( ~ sQ0_spl
    | ~ p100(sK3_skl)
    | p101(sK3_skl)
    | r1(sK3_skl,sK1_skl(sK3_skl)) ),
    inference(resolution,[status(thm)],[f5,f36]) ).

fof(f150,definition,
    ( sQ26_spl
  <=> r1(sK3_skl,sK1_skl(sK3_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f153,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sQ5_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f149,f150,f53,f110,f35]) ).

fof(f154,plain,
    ( ~ sQ0_spl
    | ~ p100(sK3_skl)
    | p101(sK3_skl)
    | r1(sK3_skl,sK2_skl(sK3_skl)) ),
    inference(resolution,[status(thm)],[f9,f36]) ).

fof(f155,definition,
    ( sQ27_spl
  <=> r1(sK3_skl,sK2_skl(sK3_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f158,plain,
    ( ~ sQ0_spl
    | ~ sQ17_spl
    | sQ5_spl
    | sQ27_spl ),
    inference(split_clause,[status(thm)],[f154,f155,f53,f110,f35]) ).

fof(f159,plain,
    ( ~ sQ6_spl
    | ~ p100(sK4_skl)
    | p101(sK4_skl)
    | r1(sK4_skl,sK2_skl(sK4_skl)) ),
    inference(resolution,[status(thm)],[f58,f9]) ).

fof(f160,plain,
    ( ~ sQ6_spl
    | ~ p100(sK4_skl)
    | p101(sK4_skl)
    | r1(sK4_skl,sK1_skl(sK4_skl)) ),
    inference(resolution,[status(thm)],[f58,f5]) ).

fof(f161,plain,
    ( ~ sQ6_spl
    | ~ p100(sK4_skl)
    | p101(sK4_skl)
    | p101(sK2_skl(sK4_skl)) ),
    inference(resolution,[status(thm)],[f58,f12]) ).

fof(f162,plain,
    ( ~ sQ6_spl
    | ~ p100(sK4_skl)
    | p101(sK4_skl)
    | p2(sK2_skl(sK4_skl)) ),
    inference(resolution,[status(thm)],[f58,f10]) ).

fof(f163,plain,
    ( ~ sQ6_spl
    | ~ p100(sK4_skl)
    | p101(sK4_skl)
    | p101(sK1_skl(sK4_skl)) ),
    inference(resolution,[status(thm)],[f58,f8]) ).

fof(f164,plain,
    ( ~ sQ6_spl
    | ~ p101(sK4_skl)
    | p100(sK4_skl) ),
    inference(resolution,[status(thm)],[f58,f18]) ).

fof(f165,plain,
    ( ~ sQ6_spl
    | ~ p102(sK4_skl)
    | p101(sK4_skl) ),
    inference(resolution,[status(thm)],[f58,f17]) ).

fof(f166,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ p100(sK4_skl)
      | ~ p1(sK4_skl)
      | ~ p100(X0)
      | p1(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(resolution,[status(thm)],[f58,f16]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ p100(sK4_skl)
      | p1(sK4_skl)
      | ~ p100(X0)
      | ~ p1(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(resolution,[status(thm)],[f58,f15]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ p101(sK4_skl)
      | ~ p2(sK4_skl)
      | ~ p101(X0)
      | p2(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(resolution,[status(thm)],[f58,f14]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ p101(sK4_skl)
      | p2(sK4_skl)
      | ~ p101(X0)
      | ~ p2(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(resolution,[status(thm)],[f58,f13]) ).

fof(f170,definition,
    ( sQ28_spl
  <=> r1(sK4_skl,sK2_skl(sK4_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f173,definition,
    ( sQ29_spl
  <=> p100(sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f174,plain,
    ( ~ sQ29_spl
    | p100(sK4_skl) ),
    inference(component_clause,[status(thm)],[f173]) ).

fof(f176,plain,
    ( ~ sQ6_spl
    | ~ sQ29_spl
    | sQ9_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f159,f170,f69,f173,f57]) ).

fof(f177,definition,
    ( sQ30_spl
  <=> r1(sK4_skl,sK1_skl(sK4_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f180,plain,
    ( ~ sQ6_spl
    | ~ sQ29_spl
    | sQ9_spl
    | sQ30_spl ),
    inference(split_clause,[status(thm)],[f160,f177,f69,f173,f57]) ).

fof(f181,definition,
    ( sQ31_spl
  <=> p101(sK2_skl(sK4_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f184,plain,
    ( ~ sQ6_spl
    | ~ sQ29_spl
    | sQ9_spl
    | sQ31_spl ),
    inference(split_clause,[status(thm)],[f161,f181,f69,f173,f57]) ).

fof(f185,definition,
    ( sQ32_spl
  <=> p2(sK2_skl(sK4_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f188,plain,
    ( ~ sQ6_spl
    | ~ sQ29_spl
    | sQ9_spl
    | sQ32_spl ),
    inference(split_clause,[status(thm)],[f162,f185,f69,f173,f57]) ).

fof(f189,definition,
    ( sQ33_spl
  <=> p101(sK1_skl(sK4_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f192,plain,
    ( ~ sQ6_spl
    | ~ sQ29_spl
    | sQ9_spl
    | sQ33_spl ),
    inference(split_clause,[status(thm)],[f163,f189,f69,f173,f57]) ).

fof(f193,plain,
    ( ~ sQ6_spl
    | ~ sQ9_spl
    | sQ29_spl ),
    inference(split_clause,[status(thm)],[f164,f173,f69,f57]) ).

fof(f194,plain,
    ( ~ sQ6_spl
    | ~ sQ8_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f165,f69,f65,f57]) ).

fof(f195,definition,
    ! [X0] :
      ( sQ34_spl
    <=> ( ~ p100(X0)
        | p1(X0)
        | ~ r1(sK4_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f196,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | ~ p100(X0)
      | p1(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(component_clause,[status(thm)],[f195]) ).

fof(f198,definition,
    ( sQ35_spl
  <=> p1(sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f199,plain,
    ( ~ sQ35_spl
    | p1(sK4_skl) ),
    inference(component_clause,[status(thm)],[f198]) ).

fof(f200,plain,
    ( sQ35_spl
    | ~ p1(sK4_skl) ),
    inference(component_clause,[status(thm)],[f198]) ).

fof(f201,plain,
    ( ~ sQ6_spl
    | ~ sQ29_spl
    | ~ sQ35_spl
    | sQ34_spl ),
    inference(split_clause,[status(thm)],[f166,f195,f198,f173,f57]) ).

fof(f202,definition,
    ! [X0] :
      ( sQ36_spl
    <=> ( ~ p100(X0)
        | ~ p1(X0)
        | ~ r1(sK4_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | ~ p100(X0)
      | ~ p1(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(component_clause,[status(thm)],[f202]) ).

fof(f205,plain,
    ( ~ sQ6_spl
    | ~ sQ29_spl
    | sQ35_spl
    | sQ36_spl ),
    inference(split_clause,[status(thm)],[f167,f202,f198,f173,f57]) ).

fof(f206,definition,
    ! [X0] :
      ( sQ37_spl
    <=> ( ~ p101(X0)
        | p2(X0)
        | ~ r1(sK4_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | ~ p101(X0)
      | p2(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f209,plain,
    ( ~ sQ6_spl
    | ~ sQ9_spl
    | ~ sQ7_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f168,f206,f61,f69,f57]) ).

fof(f210,definition,
    ! [X0] :
      ( sQ38_spl
    <=> ( ~ p101(X0)
        | ~ p2(X0)
        | ~ r1(sK4_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f213,plain,
    ( ~ sQ6_spl
    | ~ sQ9_spl
    | sQ7_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f169,f210,f61,f69,f57]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( ~ sQ13_spl
      | ~ p100(X0)
      | ~ p100(X1)
      | ~ p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f15,f85]) ).

fof(f215,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | ~ p100(sK4_skl)
    | ~ p1(sK4_skl) ),
    inference(resolution,[status(thm)],[f85,f58]) ).

fof(f216,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | ~ p100(sK3_skl)
    | ~ p1(sK3_skl) ),
    inference(resolution,[status(thm)],[f85,f36]) ).

fof(f217,plain,
    ( ~ sQ6_spl
    | ~ sQ13_spl
    | ~ sQ29_spl
    | ~ sQ35_spl ),
    inference(split_clause,[status(thm)],[f215,f198,f173,f84,f57]) ).

fof(f218,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | ~ sQ17_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f216,f118,f110,f84,f35]) ).

fof(f219,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ sQ13_spl
      | ~ p101(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f18,f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ sQ13_spl
      | ~ p100(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f92,f85]) ).

fof(f221,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | ~ sQ13_spl
    | ~ p100(sK4_skl) ),
    inference(resolution,[status(thm)],[f220,f58]) ).

fof(f222,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | ~ sQ13_spl
    | ~ p100(sK3_skl) ),
    inference(resolution,[status(thm)],[f220,f36]) ).

fof(f223,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | ~ sQ13_spl
    | ~ sQ29_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f221,f174]) ).

fof(f224,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | ~ sQ13_spl
    | ~ sQ29_spl ),
    inference(contradiction_clause,[status(thm)],[f223]) ).

fof(f249,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | ~ p100(sK4_skl)
    | p1(sK4_skl) ),
    inference(resolution,[status(thm)],[f92,f58]) ).

fof(f250,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | ~ p100(sK3_skl)
    | p1(sK3_skl) ),
    inference(resolution,[status(thm)],[f92,f36]) ).

fof(f251,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | ~ sQ29_spl
    | sQ35_spl ),
    inference(split_clause,[status(thm)],[f249,f198,f173,f91,f57]) ).

fof(f252,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | ~ sQ17_spl
    | sQ19_spl ),
    inference(split_clause,[status(thm)],[f250,f118,f110,f91,f35]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( ~ sQ15_spl
      | ~ p100(X0)
      | ~ p100(X1)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16,f92]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sQ15_spl
      | ~ p100(sK4_skl)
      | ~ p100(X0)
      | p1(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(resolution,[status(thm)],[f253,f58]) ).

fof(f255,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sQ15_spl
      | ~ p100(sK3_skl)
      | ~ p100(X0)
      | p1(X0)
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f253,f36]) ).

fof(f256,plain,
    ( ~ sQ6_spl
    | ~ sQ15_spl
    | ~ sQ29_spl
    | sQ34_spl ),
    inference(split_clause,[status(thm)],[f254,f195,f173,f91,f57]) ).

fof(f257,plain,
    ( ~ sQ0_spl
    | ~ sQ15_spl
    | ~ sQ17_spl
    | sQ18_spl ),
    inference(split_clause,[status(thm)],[f255,f115,f110,f91,f35]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | ~ sQ34_spl
      | ~ p100(X0)
      | ~ r1(sK4_skl,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f203,f196]) ).

fof(model,axiom,
    ( sQ0_spl
    | ~ sQ1_spl
    | sQ2_spl
    | ~ sQ3_spl
    | ~ sQ4_spl
    | sQ5_spl
    | sQ6_spl
    | sQ7_spl
    | ~ sQ8_spl
    | sQ9_spl
    | ~ sQ13_spl
    | sQ14_spl
    | sQ15_spl
    | ~ sQ16_spl
    | sQ17_spl
    | sQ18_spl
    | sQ19_spl
    | sQ22_spl
    | sQ29_spl
    | sQ34_spl
    | sQ35_spl
    | sQ36_spl
    | sQ37_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL637+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n018.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 00:43:43 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V4.1.1
% 0.13/0.38  % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.13/0.38  % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.40  % Elapsed time: 0.042041 seconds
% 0.13/0.40  % CPU time: 0.097031 seconds
% 0.13/0.40  % Total memory used: 11.724 MB
% 0.13/0.40  % Net memory used: 11.593 MB
%------------------------------------------------------------------------------