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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 01:08:06 PM UTC 2026

% Result   : Theorem 40.70s 5.56s
% Output   : CNFRefutation 40.70s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

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

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

fof(f4,definition,
    ! [X,Y] :
      ( sP0_prd(Y,X)
    <=> ( p1(Y)
        & ? [X] :
            ( ~ p1(X)
            & r1(Y,X) )
        & r1(X,Y) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f5,definition,
    ! [X,Y] :
      ( sP1_prd(Y,X)
    <=> ( ~ p1(Y)
        & r1(X,Y) ) ),
    introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).

fof(f6,definition,
    ! [Y,X] :
      ( sP2_prd(X,Y)
    <=> ( p1(X)
        & ? [Y] :
            ( ~ p1(Y)
            & r1(X,Y) )
        & r1(Y,X) ) ),
    introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).

fof(f7,plain,
    ? [X] :
      ( ? [Y] :
          ( ! [X] :
              ( ? [Y] :
                  ( p1(Y)
                  & ? [X] :
                      ( ~ p1(X)
                      & r1(Y,X) )
                  & r1(X,Y) )
              | p1(X)
              | ~ r1(Y,X) )
          & ? [X] :
              ( ! [Y] :
                  ( p1(Y)
                  | ~ r1(X,Y) )
              & r1(Y,X) )
          & ? [X] :
              ( ~ p1(X)
              & r1(Y,X) )
          & r1(X,Y) )
      & ! [Y] :
          ( ( ( ? [X] :
                  ( ! [Y] :
                      ( ~ p1(Y)
                      | ! [X] :
                          ( p1(X)
                          | ~ r1(Y,X) )
                      | ~ r1(X,Y) )
                  & ~ p1(X)
                  & r1(Y,X) )
              | ! [X] :
                  ( ! [Y] :
                      ( ? [X] : sP2_prd(X,Y)
                      | p1(Y)
                      | ~ r1(X,Y) )
                  | ~ r1(Y,X) ) )
            & ! [X] :
                ( ? [Y] :
                    ( ~ p1(Y)
                    & r1(X,Y) )
                | ! [Y] :
                    ( ! [X] :
                        ( p1(X)
                        | ~ r1(Y,X) )
                    | ~ r1(X,Y) )
                | ~ r1(Y,X) )
            & ( ? [X] :
                  ( ! [Y] :
                      ( ~ p1(Y)
                      | ! [X] :
                          ( p1(X)
                          | ~ r1(Y,X) )
                      | ~ r1(X,Y) )
                  & ~ p1(X)
                  & r1(Y,X) )
              | ! [X] :
                  ( ? [Y] : sP1_prd(Y,X)
                  | ~ r1(Y,X) )
              | p1(Y) )
            & ( ? [X] :
                  ( ! [Y] :
                      ( ( p1(Y)
                        & ? [X] :
                            ( ~ p1(X)
                            & r1(Y,X) ) )
                      | ! [X] :
                          ( ~ p1(X)
                          | ! [Y] :
                              ( p1(Y)
                              | ~ r1(X,Y) )
                          | ~ r1(Y,X) )
                      | ~ r1(X,Y) )
                  & p1(X)
                  & ? [Y] :
                      ( ~ p1(Y)
                      & r1(X,Y) )
                  & r1(Y,X) )
              | ! [X] :
                  ( ? [Y] : sP0_prd(Y,X)
                  | ~ r1(Y,X) )
              | ~ p1(Y)
              | ! [X] :
                  ( p1(X)
                  | ~ r1(Y,X) ) ) )
          | ~ r1(X,Y) ) ),
    inference(formula_renaming,[status(thm)],[f3,f6,f5,f4]) ).

fof(f8,plain,
    ( ! [X] :
        ( ( p1(sK13_skl(X))
          & ~ p1(sK14_skl(X))
          & r1(sK13_skl(X),sK14_skl(X))
          & r1(X,sK13_skl(X)) )
        | p1(X)
        | ~ r1(sK10_skl,X) )
    & ! [Y] :
        ( p1(Y)
        | ~ r1(sK12_skl,Y) )
    & r1(sK10_skl,sK12_skl)
    & ~ p1(sK11_skl)
    & r1(sK10_skl,sK11_skl)
    & r1(sK0_skl,sK10_skl)
    & ! [Y] :
        ( ( ( ( ! [Y] :
                  ( ~ p1(Y)
                  | ! [X] :
                      ( p1(X)
                      | ~ r1(Y,X) )
                  | ~ r1(sK9_skl(Y),Y) )
              & ~ p1(sK9_skl(Y))
              & r1(Y,sK9_skl(Y)) )
            | ! [X] :
                ( ! [Y] :
                    ( sP2_prd(sK8_skl(Y,X,Y),Y)
                    | p1(Y)
                    | ~ r1(X,Y) )
                | ~ r1(Y,X) ) )
          & ! [X] :
              ( ( ~ p1(sK7_skl(X,Y))
                & r1(X,sK7_skl(X,Y)) )
              | ! [Y] :
                  ( ! [X] :
                      ( p1(X)
                      | ~ r1(Y,X) )
                  | ~ r1(X,Y) )
              | ~ r1(Y,X) )
          & ( ( ! [Y] :
                  ( ~ p1(Y)
                  | ! [X] :
                      ( p1(X)
                      | ~ r1(Y,X) )
                  | ~ r1(sK6_skl(Y),Y) )
              & ~ p1(sK6_skl(Y))
              & r1(Y,sK6_skl(Y)) )
            | ! [X] :
                ( sP1_prd(sK5_skl(X,Y),X)
                | ~ r1(Y,X) )
            | p1(Y) )
          & ( ( ! [Y] :
                  ( ( p1(Y)
                    & ~ p1(sK4_skl(Y,Y))
                    & r1(Y,sK4_skl(Y,Y)) )
                  | ! [X] :
                      ( ~ p1(X)
                      | ! [Y] :
                          ( p1(Y)
                          | ~ r1(X,Y) )
                      | ~ r1(Y,X) )
                  | ~ r1(sK2_skl(Y),Y) )
              & p1(sK2_skl(Y))
              & ~ p1(sK3_skl(Y))
              & r1(sK2_skl(Y),sK3_skl(Y))
              & r1(Y,sK2_skl(Y)) )
            | ! [X] :
                ( sP0_prd(sK1_skl(X,Y),X)
                | ~ r1(Y,X) )
            | ~ p1(Y)
            | ! [X] :
                ( p1(X)
                | ~ r1(Y,X) ) ) )
        | ~ r1(sK0_skl,Y) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl(X,Y)),skolemize(X,sK2_skl(Y)),skolemize(Y,sK3_skl(Y)),skolemize(X,sK4_skl(Y,Y)),skolemize(Y,sK5_skl(X,Y)),skolemize(X,sK6_skl(Y)),skolemize(Y,sK7_skl(X,Y)),skolemize(X,sK8_skl(Y,X,Y)),skolemize(X,sK9_skl(Y)),skolemize(Y,sK10_skl),skolemize(X,sK11_skl),skolemize(X,sK12_skl),skolemize(Y,sK13_skl(X)),skolemize(X,sK14_skl(X))],[f7]) ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( r1(X0,sK2_skl(X0))
      | sP0_prd(sK1_skl(X2,X0),X2)
      | ~ r1(X0,X2)
      | ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( r1(sK2_skl(X0),sK3_skl(X0))
      | sP0_prd(sK1_skl(X2,X0),X2)
      | ~ r1(X0,X2)
      | ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ~ p1(sK3_skl(X0))
      | sP0_prd(sK1_skl(X2,X0),X2)
      | ~ r1(X0,X2)
      | ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( p1(X3)
      | ~ p1(X4)
      | p1(X5)
      | ~ r1(X4,X5)
      | ~ r1(X3,X4)
      | ~ r1(sK2_skl(X0),X3)
      | sP0_prd(sK1_skl(X2,X0),X2)
      | ~ r1(X0,X2)
      | ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( r1(X0,sK6_skl(X0))
      | sP1_prd(sK5_skl(X1,X0),X1)
      | ~ r1(X0,X1)
      | p1(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ p1(sK6_skl(X0))
      | sP1_prd(sK5_skl(X1,X0),X1)
      | ~ r1(X0,X1)
      | p1(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] :
      ( ~ p1(X2)
      | p1(X3)
      | ~ r1(X2,X3)
      | ~ r1(sK6_skl(X0),X2)
      | sP1_prd(sK5_skl(X1,X0),X1)
      | ~ r1(X0,X1)
      | p1(X0)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3] :
      ( r1(X1,sK7_skl(X1,X0))
      | p1(X3)
      | ~ r1(X2,X3)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3] :
      ( ~ p1(sK7_skl(X1,X0))
      | p1(X3)
      | ~ r1(X2,X3)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( r1(X0,sK9_skl(X0))
      | sP2_prd(sK8_skl(X2,X1,X0),X2)
      | p1(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ~ p1(sK9_skl(X0))
      | sP2_prd(sK8_skl(X2,X1,X0),X2)
      | p1(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ p1(X3)
      | p1(X4)
      | ~ r1(X3,X4)
      | ~ r1(sK9_skl(X0),X3)
      | sP2_prd(sK8_skl(X2,X1,X0),X2)
      | p1(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | ~ r1(sK0_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f24,plain,
    r1(sK0_skl,sK10_skl),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f25,plain,
    r1(sK10_skl,sK11_skl),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f26,plain,
    ~ p1(sK11_skl),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f27,plain,
    r1(sK10_skl,sK12_skl),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f28,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK12_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f29,plain,
    ! [X0] :
      ( r1(X0,sK13_skl(X0))
      | p1(X0)
      | ~ r1(sK10_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f30,plain,
    ! [X0] :
      ( r1(sK13_skl(X0),sK14_skl(X0))
      | p1(X0)
      | ~ r1(sK10_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ p1(sK14_skl(X0))
      | p1(X0)
      | ~ r1(sK10_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f32,plain,
    ! [X0] :
      ( p1(sK13_skl(X0))
      | p1(X0)
      | ~ r1(sK10_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f33,plain,
    ! [X,Y] :
      ( ( ~ p1(Y)
        | ! [X] :
            ( p1(X)
            | ~ r1(Y,X) )
        | ~ r1(X,Y)
        | sP0_prd(Y,X) )
      & ( ( p1(Y)
          & ? [X] :
              ( ~ p1(X)
              & r1(Y,X) )
          & r1(X,Y) )
        | ~ sP0_prd(Y,X) ) ),
    inference(NNF_transformation,[status(thm)],[f4]) ).

fof(f34,plain,
    ( ! [X,Y] :
        ( ~ p1(Y)
        | ! [X] :
            ( p1(X)
            | ~ r1(Y,X) )
        | ~ r1(X,Y)
        | sP0_prd(Y,X) )
    & ! [X,Y] :
        ( ( p1(Y)
          & ? [X] :
              ( ~ p1(X)
              & r1(Y,X) )
          & r1(X,Y) )
        | ~ sP0_prd(Y,X) ) ),
    inference(miniscoping,[status(thm)],[f33]) ).

fof(f35,plain,
    ( ! [X,Y] :
        ( ~ p1(Y)
        | ! [X] :
            ( p1(X)
            | ~ r1(Y,X) )
        | ~ r1(X,Y)
        | sP0_prd(Y,X) )
    & ! [X,Y] :
        ( ( p1(Y)
          & ~ p1(sK15_skl(Y,X))
          & r1(Y,sK15_skl(Y,X))
          & r1(X,Y) )
        | ~ sP0_prd(Y,X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(X,sK15_skl(Y,X))],[f34]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( r1(X1,X0)
      | ~ sP0_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( r1(X0,sK15_skl(X0,X1))
      | ~ sP0_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ p1(sK15_skl(X0,X1))
      | ~ sP0_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( p1(X0)
      | ~ sP0_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f41,plain,
    ! [X,Y] :
      ( ( p1(Y)
        | ~ r1(X,Y)
        | sP1_prd(Y,X) )
      & ( ( ~ p1(Y)
          & r1(X,Y) )
        | ~ sP1_prd(Y,X) ) ),
    inference(NNF_transformation,[status(thm)],[f5]) ).

fof(f42,plain,
    ( ! [X,Y] :
        ( p1(Y)
        | ~ r1(X,Y)
        | sP1_prd(Y,X) )
    & ! [X,Y] :
        ( ( ~ p1(Y)
          & r1(X,Y) )
        | ~ sP1_prd(Y,X) ) ),
    inference(miniscoping,[status(thm)],[f41]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( r1(X1,X0)
      | ~ sP1_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ p1(X0)
      | ~ sP1_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f46,plain,
    ! [Y,X] :
      ( ( ~ p1(X)
        | ! [Y] :
            ( p1(Y)
            | ~ r1(X,Y) )
        | ~ r1(Y,X)
        | sP2_prd(X,Y) )
      & ( ( p1(X)
          & ? [Y] :
              ( ~ p1(Y)
              & r1(X,Y) )
          & r1(Y,X) )
        | ~ sP2_prd(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f6]) ).

fof(f47,plain,
    ( ! [Y,X] :
        ( ~ p1(X)
        | ! [Y] :
            ( p1(Y)
            | ~ r1(X,Y) )
        | ~ r1(Y,X)
        | sP2_prd(X,Y) )
    & ! [Y,X] :
        ( ( p1(X)
          & ? [Y] :
              ( ~ p1(Y)
              & r1(X,Y) )
          & r1(Y,X) )
        | ~ sP2_prd(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f46]) ).

fof(f48,plain,
    ( ! [Y,X] :
        ( ~ p1(X)
        | ! [Y] :
            ( p1(Y)
            | ~ r1(X,Y) )
        | ~ r1(Y,X)
        | sP2_prd(X,Y) )
    & ! [Y,X] :
        ( ( p1(X)
          & ~ p1(sK16_skl(X,Y))
          & r1(X,sK16_skl(X,Y))
          & r1(Y,X) )
        | ~ sP2_prd(X,Y) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(Y,sK16_skl(X,Y))],[f47]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( r1(X1,X0)
      | ~ sP2_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( r1(X0,sK16_skl(X0,X1))
      | ~ sP2_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ p1(sK16_skl(X0,X1))
      | ~ sP2_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( p1(X0)
      | ~ sP2_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( ~ p1(X0)
      | p1(X2)
      | ~ r1(X0,X2)
      | ~ r1(X1,X0)
      | sP2_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( r1(sK10_skl,sK2_skl(sK10_skl))
      | sP0_prd(sK1_skl(X1,sK10_skl),X1)
      | ~ r1(sK10_skl,X1)
      | ~ p1(sK10_skl)
      | p1(X0)
      | ~ r1(sK10_skl,X0) ),
    inference(resolution,[status(thm)],[f9,f24]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( r1(sK2_skl(sK10_skl),sK3_skl(sK10_skl))
      | sP0_prd(sK1_skl(X1,sK10_skl),X1)
      | ~ r1(sK10_skl,X1)
      | ~ p1(sK10_skl)
      | p1(X0)
      | ~ r1(sK10_skl,X0) ),
    inference(resolution,[status(thm)],[f10,f24]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ p1(sK3_skl(sK10_skl))
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl)
      | p1(sK11_skl)
      | ~ r1(sK0_skl,sK10_skl) ),
    inference(resolution,[status(thm)],[f11,f25]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ p1(sK3_skl(sK10_skl))
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl)
      | p1(sK11_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f57,f24]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3] :
      ( p1(X1)
      | ~ p1(X2)
      | p1(X3)
      | ~ r1(X2,X3)
      | ~ r1(X1,X2)
      | ~ r1(sK2_skl(sK10_skl),X1)
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl)
      | p1(sK11_skl)
      | ~ r1(sK0_skl,sK10_skl) ),
    inference(resolution,[status(thm)],[f15,f25]) ).

fof(f115,plain,
    ! [X0,X1,X2,X3] :
      ( p1(X1)
      | ~ p1(X2)
      | p1(X3)
      | ~ r1(X2,X3)
      | ~ r1(X1,X2)
      | ~ r1(sK2_skl(sK10_skl),X1)
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl)
      | p1(sK11_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f111,f24]) ).

fof(f152,plain,
    ! [X0] :
      ( r1(sK10_skl,sK6_skl(sK10_skl))
      | sP1_prd(sK5_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f16,f24]) ).

fof(f157,plain,
    ( ~ p1(sK6_skl(sK10_skl))
    | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK10_skl)
    | ~ r1(sK0_skl,sK10_skl) ),
    inference(resolution,[status(thm)],[f17,f27]) ).

fof(f162,plain,
    ( ~ p1(sK6_skl(sK10_skl))
    | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f157,f24]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK6_skl(sK10_skl),X0)
      | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK10_skl)
      | ~ r1(sK0_skl,sK10_skl) ),
    inference(resolution,[status(thm)],[f18,f27]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK6_skl(sK10_skl),X0)
      | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f209,f24]) ).

fof(f216,plain,
    ! [X0,X1,X2] :
      ( r1(X0,sK7_skl(X0,sK10_skl))
      | p1(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | ~ r1(sK10_skl,X0) ),
    inference(resolution,[status(thm)],[f19,f24]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK12_skl,X0) ),
    inference(resolution,[status(thm)],[f216,f27]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( r1(sK10_skl,sK9_skl(sK10_skl))
      | sP2_prd(sK8_skl(X1,X0,sK10_skl),X1)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK10_skl,X0) ),
    inference(resolution,[status(thm)],[f21,f24]) ).

fof(f343,plain,
    ( r1(sK10_skl,sK6_skl(sK10_skl))
    | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f152,f27]) ).

fof(f345,plain,
    ( r1(sK12_skl,sK5_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f343,f43]) ).

fof(f346,plain,
    ( ~ p1(sK5_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f343,f44]) ).

fof(f350,plain,
    ( p1(sK5_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f345,f28]) ).

fof(f363,plain,
    ( r1(sK10_skl,sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f350,f346]) ).

fof(f369,plain,
    ( r1(sK13_skl(sK6_skl(sK10_skl)),sK14_skl(sK6_skl(sK10_skl)))
    | p1(sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f363,f30]) ).

fof(f370,plain,
    ( r1(sK6_skl(sK10_skl),sK13_skl(sK6_skl(sK10_skl)))
    | p1(sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f363,f29]) ).

fof(f371,plain,
    ( p1(sK13_skl(sK6_skl(sK10_skl)))
    | p1(sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f363,f32]) ).

fof(f394,plain,
    ! [X0] :
      ( r1(sK10_skl,sK2_skl(sK10_skl))
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl)
      | p1(sK11_skl) ),
    inference(resolution,[status(thm)],[f54,f25]) ).

fof(f395,plain,
    ! [X0] :
      ( r1(sK10_skl,sK2_skl(sK10_skl))
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f394,f26]) ).

fof(f398,plain,
    ! [X0] :
      ( r1(sK2_skl(sK10_skl),sK3_skl(sK10_skl))
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl)
      | p1(sK11_skl) ),
    inference(resolution,[status(thm)],[f55,f25]) ).

fof(f399,plain,
    ! [X0] :
      ( r1(sK2_skl(sK10_skl),sK3_skl(sK10_skl))
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f398,f26]) ).

fof(f435,plain,
    ! [X0] :
      ( ~ p1(sK3_skl(sK10_skl))
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f60,f26]) ).

fof(f437,plain,
    ( ~ p1(sK3_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | ~ p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f435,f27]) ).

fof(f454,plain,
    ( r1(sK10_skl,sK2_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | ~ p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f395,f27]) ).

fof(f468,plain,
    ( r1(sK2_skl(sK10_skl),sK3_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | ~ p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f399,f27]) ).

fof(f496,plain,
    ! [X0,X1,X2,X3] :
      ( p1(X1)
      | ~ p1(X2)
      | p1(X3)
      | ~ r1(X2,X3)
      | ~ r1(X1,X2)
      | ~ r1(sK2_skl(sK10_skl),X1)
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0)
      | ~ p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f115,f26]) ).

fof(f501,plain,
    ! [X0] :
      ( p1(sK6_skl(sK10_skl))
      | p1(sK10_skl)
      | ~ p1(sK13_skl(sK6_skl(sK10_skl)))
      | p1(X0)
      | ~ r1(sK13_skl(sK6_skl(sK10_skl)),X0)
      | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f214,f370]) ).

fof(f502,plain,
    ! [X0] :
      ( p1(sK6_skl(sK10_skl))
      | ~ p1(sK13_skl(sK6_skl(sK10_skl)))
      | p1(X0)
      | ~ r1(sK13_skl(sK6_skl(sK10_skl)),X0)
      | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK10_skl) ),
    inference(duplicate_literals_removal,[status(thm)],[f501]) ).

fof(f503,plain,
    ! [X0] :
      ( p1(sK6_skl(sK10_skl))
      | p1(X0)
      | ~ r1(sK13_skl(sK6_skl(sK10_skl)),X0)
      | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f502,f371]) ).

fof(f536,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK13_skl(sK6_skl(sK10_skl)),X0)
      | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f503,f162]) ).

fof(f537,plain,
    ( p1(sK6_skl(sK10_skl))
    | p1(sK10_skl)
    | p1(sK14_skl(sK6_skl(sK10_skl)))
    | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f536,f369]) ).

fof(f538,plain,
    ( p1(sK6_skl(sK10_skl))
    | p1(sK14_skl(sK6_skl(sK10_skl)))
    | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK10_skl) ),
    inference(duplicate_literals_removal,[status(thm)],[f537]) ).

fof(f539,plain,
    ( p1(sK14_skl(sK6_skl(sK10_skl)))
    | sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f538,f162]) ).

fof(f540,plain,
    ( r1(sK12_skl,sK5_skl(sK12_skl,sK10_skl))
    | p1(sK14_skl(sK6_skl(sK10_skl)))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f539,f43]) ).

fof(f541,plain,
    ( ~ p1(sK5_skl(sK12_skl,sK10_skl))
    | p1(sK14_skl(sK6_skl(sK10_skl)))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f539,f44]) ).

fof(f543,plain,
    ( p1(sK5_skl(sK12_skl,sK10_skl))
    | p1(sK14_skl(sK6_skl(sK10_skl)))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f540,f28]) ).

fof(f556,plain,
    ( p1(sK14_skl(sK6_skl(sK10_skl)))
    | p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f543,f541]) ).

fof(f561,plain,
    ( p1(sK6_skl(sK10_skl))
    | ~ r1(sK10_skl,sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f556,f31]) ).

fof(f562,plain,
    ( p1(sK6_skl(sK10_skl))
    | p1(sK10_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f561,f363]) ).

fof(f567,plain,
    ( sP1_prd(sK5_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK10_skl) ),
    inference(backward_subsumption_resolution,[status(thm)],[f162,f562]) ).

fof(f570,plain,
    ( r1(sK12_skl,sK5_skl(sK12_skl,sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f567,f43]) ).

fof(f571,plain,
    ( ~ p1(sK5_skl(sK12_skl,sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f567,f44]) ).

fof(f611,plain,
    ( p1(sK5_skl(sK12_skl,sK10_skl))
    | p1(sK10_skl) ),
    inference(resolution,[status(thm)],[f570,f28]) ).

fof(f624,plain,
    p1(sK10_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f611,f571]) ).

fof(f629,plain,
    ! [X0,X1,X2,X3] :
      ( p1(X1)
      | ~ p1(X2)
      | p1(X3)
      | ~ r1(X2,X3)
      | ~ r1(X1,X2)
      | ~ r1(sK2_skl(sK10_skl),X1)
      | sP0_prd(sK1_skl(X0,sK10_skl),X0)
      | ~ r1(sK10_skl,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f496,f624]) ).

fof(f636,plain,
    ( ~ p1(sK3_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(backward_subsumption_resolution,[status(thm)],[f437,f624]) ).

fof(f639,plain,
    ( r1(sK2_skl(sK10_skl),sK3_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(backward_subsumption_resolution,[status(thm)],[f468,f624]) ).

fof(f641,plain,
    ( r1(sK10_skl,sK2_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(backward_subsumption_resolution,[status(thm)],[f454,f624]) ).

fof(f646,plain,
    ! [X0,X1,X2] :
      ( p1(X0)
      | ~ p1(X1)
      | p1(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | ~ r1(sK2_skl(sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f629,f27]) ).

fof(f756,plain,
    ( r1(sK1_skl(sK12_skl,sK10_skl),sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f641,f37]) ).

fof(f757,plain,
    ( r1(sK12_skl,sK1_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f641,f36]) ).

fof(f758,plain,
    ( p1(sK1_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f641,f39]) ).

fof(f792,plain,
    ! [X0] :
      ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
      | p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f757,f234]) ).

fof(f796,plain,
    ! [X0,X1] :
      ( ~ p1(sK7_skl(sK12_skl,X0))
      | p1(X1)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X1)
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f757,f20]) ).

fof(f799,plain,
    ! [X0] :
      ( ~ p1(sK1_skl(sK12_skl,sK10_skl))
      | p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f757,f53]) ).

fof(f806,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f799,f758]) ).

fof(f1217,plain,
    ( r1(sK10_skl,sK2_skl(sK10_skl))
    | r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f792,f756]) ).

fof(f1219,plain,
    ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1217]) ).

fof(f1221,plain,
    ( r1(sK10_skl,sK2_skl(sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f806,f756]) ).

fof(f1223,plain,
    ( p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1221]) ).

fof(f1276,plain,
    ( ~ sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1219,f38]) ).

fof(f1277,plain,
    ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1276,f641]) ).

fof(f1279,plain,
    ( p1(sK7_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1277,f28]) ).

fof(f1296,plain,
    ( ~ sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1223,f38]) ).

fof(f1297,plain,
    ( sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1296,f641]) ).

fof(f1298,plain,
    ( r1(sK1_skl(sK12_skl,sK10_skl),sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1297,f50]) ).

fof(f1413,plain,
    ! [X0,X1] :
      ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK3_skl(sK10_skl))
      | ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK3_skl(sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f646,f639]) ).

fof(f1415,plain,
    ! [X0,X1] :
      ( p1(sK3_skl(sK10_skl))
      | ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK3_skl(sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(duplicate_literals_removal,[status(thm)],[f1413]) ).

fof(f1416,plain,
    ! [X0,X1] :
      ( ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK3_skl(sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1415,f636]) ).

fof(f1524,plain,
    ! [X0] :
      ( r1(sK10_skl,sK2_skl(sK10_skl))
      | ~ p1(sK7_skl(sK12_skl,X0))
      | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f796,f1298]) ).

fof(f1526,plain,
    ! [X0] :
      ( ~ p1(sK7_skl(sK12_skl,X0))
      | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1524]) ).

fof(f1528,plain,
    ( r1(sK10_skl,sK2_skl(sK10_skl))
    | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | ~ r1(sK0_skl,sK10_skl)
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1526,f1279]) ).

fof(f1529,plain,
    ( p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | ~ r1(sK0_skl,sK10_skl)
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f1528]) ).

fof(f1530,plain,
    ( p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1529,f24]) ).

fof(f1531,plain,
    ( p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1530,f27]) ).

fof(f1532,plain,
    ( ~ sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK2_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1531,f51]) ).

fof(f1533,plain,
    r1(sK10_skl,sK2_skl(sK10_skl)),
    inference(forward_subsumption_resolution,[status(thm)],[f1532,f1297]) ).

fof(f1541,plain,
    ! [X0] :
      ( r1(sK10_skl,sK9_skl(sK10_skl))
      | sP2_prd(sK8_skl(X0,sK2_skl(sK10_skl),sK10_skl),X0)
      | p1(X0)
      | ~ r1(sK2_skl(sK10_skl),X0) ),
    inference(resolution,[status(thm)],[f1533,f236]) ).

fof(f1549,plain,
    ! [X0,X1,X2] :
      ( ~ p1(X1)
      | p1(X2)
      | ~ r1(X1,X2)
      | ~ r1(sK9_skl(sK10_skl),X1)
      | sP2_prd(sK8_skl(X0,sK2_skl(sK10_skl),sK10_skl),X0)
      | p1(X0)
      | ~ r1(sK2_skl(sK10_skl),X0)
      | ~ r1(sK0_skl,sK10_skl) ),
    inference(resolution,[status(thm)],[f1533,f23]) ).

fof(f1550,plain,
    ! [X0] :
      ( ~ p1(sK9_skl(sK10_skl))
      | sP2_prd(sK8_skl(X0,sK2_skl(sK10_skl),sK10_skl),X0)
      | p1(X0)
      | ~ r1(sK2_skl(sK10_skl),X0)
      | ~ r1(sK0_skl,sK10_skl) ),
    inference(resolution,[status(thm)],[f1533,f22]) ).

fof(f1564,plain,
    ! [X0,X1,X2] :
      ( ~ p1(X1)
      | p1(X2)
      | ~ r1(X1,X2)
      | ~ r1(sK9_skl(sK10_skl),X1)
      | sP2_prd(sK8_skl(X0,sK2_skl(sK10_skl),sK10_skl),X0)
      | p1(X0)
      | ~ r1(sK2_skl(sK10_skl),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1549,f24]) ).

fof(f1565,plain,
    ! [X0] :
      ( ~ p1(sK9_skl(sK10_skl))
      | sP2_prd(sK8_skl(X0,sK2_skl(sK10_skl),sK10_skl),X0)
      | p1(X0)
      | ~ r1(sK2_skl(sK10_skl),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1550,f24]) ).

fof(f1785,plain,
    ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | ~ p1(sK9_skl(sK10_skl))
    | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl))
    | p1(sK3_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1565,f639]) ).

fof(f1787,plain,
    ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | ~ p1(sK9_skl(sK10_skl))
    | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1785,f636]) ).

fof(f1790,plain,
    ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl))
    | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl))
    | p1(sK3_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1541,f639]) ).

fof(f1792,plain,
    ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl))
    | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1790,f636]) ).

fof(f2049,plain,
    ( r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1792,f50]) ).

fof(f2050,plain,
    ( r1(sK3_skl(sK10_skl),sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1792,f49]) ).

fof(f2051,plain,
    ( p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1792,f52]) ).

fof(f2058,plain,
    ! [X0] :
      ( ~ p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
      | p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f2050,f1416]) ).

fof(f2076,plain,
    ! [X0] :
      ( ~ p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
      | p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f2058]) ).

fof(f2077,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2076,f2051]) ).

fof(f2373,plain,
    ! [X0,X1] :
      ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK9_skl(sK10_skl),X0)
      | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl))
      | p1(sK3_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f1564,f639]) ).

fof(f2375,plain,
    ! [X0,X1] :
      ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | ~ p1(X0)
      | p1(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK9_skl(sK10_skl),X0)
      | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2373,f636]) ).

fof(f3207,plain,
    ( p1(sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f2049,f2077]) ).

fof(f3229,plain,
    ( p1(sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f3207]) ).

fof(f3235,plain,
    ( ~ sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3229,f51]) ).

fof(f3236,plain,
    ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3235,f1792]) ).

fof(f3237,plain,
    ( r1(sK1_skl(sK12_skl,sK10_skl),sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3236,f37]) ).

fof(f3238,plain,
    ( r1(sK12_skl,sK1_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3236,f36]) ).

fof(f3239,plain,
    ( p1(sK1_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3236,f39]) ).

fof(f3240,plain,
    ! [X0] :
      ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
      | p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3238,f234]) ).

fof(f3252,plain,
    ! [X0,X1] :
      ( ~ p1(sK7_skl(sK12_skl,X0))
      | p1(X1)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X1)
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3238,f20]) ).

fof(f3255,plain,
    ! [X0] :
      ( ~ p1(sK1_skl(sK12_skl,sK10_skl))
      | p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3238,f53]) ).

fof(f3269,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3255,f3239]) ).

fof(f3294,plain,
    ( r1(sK10_skl,sK9_skl(sK10_skl))
    | r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3240,f3237]) ).

fof(f3295,plain,
    ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f3294]) ).

fof(f3296,plain,
    ( r1(sK10_skl,sK9_skl(sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3269,f3237]) ).

fof(f3297,plain,
    ( p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f3296]) ).

fof(f3298,plain,
    ( ~ sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3295,f38]) ).

fof(f3299,plain,
    ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3298,f3236]) ).

fof(f3301,plain,
    ( p1(sK7_skl(sK12_skl,sK10_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3299,f28]) ).

fof(f3326,plain,
    ( ~ sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3297,f38]) ).

fof(f3327,plain,
    ( sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3326,f3236]) ).

fof(f3328,plain,
    ( r1(sK1_skl(sK12_skl,sK10_skl),sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3327,f50]) ).

fof(f3355,plain,
    ! [X0] :
      ( r1(sK10_skl,sK9_skl(sK10_skl))
      | ~ p1(sK7_skl(sK12_skl,X0))
      | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3252,f3328]) ).

fof(f3357,plain,
    ! [X0] :
      ( ~ p1(sK7_skl(sK12_skl,X0))
      | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f3355]) ).

fof(f3359,plain,
    ( r1(sK10_skl,sK9_skl(sK10_skl))
    | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | ~ r1(sK0_skl,sK10_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3357,f3301]) ).

fof(f3360,plain,
    ( p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | ~ r1(sK0_skl,sK10_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f3359]) ).

fof(f3361,plain,
    ( p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3360,f24]) ).

fof(f3362,plain,
    ( p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3361,f27]) ).

fof(f3363,plain,
    ( ~ sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK10_skl,sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3362,f51]) ).

fof(f3364,plain,
    r1(sK10_skl,sK9_skl(sK10_skl)),
    inference(forward_subsumption_resolution,[status(thm)],[f3363,f3327]) ).

fof(f3374,plain,
    ( r1(sK13_skl(sK9_skl(sK10_skl)),sK14_skl(sK9_skl(sK10_skl)))
    | p1(sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3364,f30]) ).

fof(f3375,plain,
    ( r1(sK9_skl(sK10_skl),sK13_skl(sK9_skl(sK10_skl)))
    | p1(sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3364,f29]) ).

fof(f3376,plain,
    ( p1(sK13_skl(sK9_skl(sK10_skl)))
    | p1(sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3364,f32]) ).

fof(f3403,plain,
    ! [X0] :
      ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | ~ p1(sK13_skl(sK9_skl(sK10_skl)))
      | p1(X0)
      | ~ r1(sK13_skl(sK9_skl(sK10_skl)),X0)
      | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl))
      | p1(sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3375,f2375]) ).

fof(f3426,plain,
    ! [X0] :
      ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | ~ p1(sK13_skl(sK9_skl(sK10_skl)))
      | p1(X0)
      | ~ r1(sK13_skl(sK9_skl(sK10_skl)),X0)
      | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3403,f1787]) ).

fof(f3894,plain,
    ( p1(sK9_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | ~ p1(sK13_skl(sK9_skl(sK10_skl)))
    | p1(sK14_skl(sK9_skl(sK10_skl)))
    | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f3426,f3374]) ).

fof(f3897,plain,
    ( p1(sK9_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl)))
    | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3894,f3376]) ).

fof(f3898,plain,
    ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl)))
    | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3897,f1787]) ).

fof(f3899,plain,
    ( r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f3898,f50]) ).

fof(f3900,plain,
    ( r1(sK3_skl(sK10_skl),sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f3898,f49]) ).

fof(f3901,plain,
    ( p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f3898,f52]) ).

fof(f3911,plain,
    ! [X0] :
      ( ~ p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
      | p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f3900,f1416]) ).

fof(f3937,plain,
    ! [X0] :
      ( ~ p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
      | p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(duplicate_literals_removal,[status(thm)],[f3911]) ).

fof(f3938,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3937,f3901]) ).

fof(f4229,plain,
    ( p1(sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f3899,f3938]) ).

fof(f4251,plain,
    ( p1(sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(duplicate_literals_removal,[status(thm)],[f4229]) ).

fof(f4257,plain,
    ( ~ sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4251,f51]) ).

fof(f4258,plain,
    ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4257,f3898]) ).

fof(f4259,plain,
    ( r1(sK1_skl(sK12_skl,sK10_skl),sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4258,f37]) ).

fof(f4260,plain,
    ( r1(sK12_skl,sK1_skl(sK12_skl,sK10_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4258,f36]) ).

fof(f4261,plain,
    ( p1(sK1_skl(sK12_skl,sK10_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4258,f39]) ).

fof(f4264,plain,
    ! [X0] :
      ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
      | p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4260,f234]) ).

fof(f4277,plain,
    ! [X0,X1] :
      ( ~ p1(sK7_skl(sK12_skl,X0))
      | p1(X1)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X1)
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4260,f20]) ).

fof(f4280,plain,
    ! [X0] :
      ( ~ p1(sK1_skl(sK12_skl,sK10_skl))
      | p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4260,f53]) ).

fof(f4294,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4280,f4261]) ).

fof(f4320,plain,
    ( p1(sK14_skl(sK9_skl(sK10_skl)))
    | r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4264,f4259]) ).

fof(f4321,plain,
    ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(duplicate_literals_removal,[status(thm)],[f4320]) ).

fof(f4322,plain,
    ( p1(sK14_skl(sK9_skl(sK10_skl)))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4294,f4259]) ).

fof(f4323,plain,
    ( p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(duplicate_literals_removal,[status(thm)],[f4322]) ).

fof(f4324,plain,
    ( ~ sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4321,f38]) ).

fof(f4325,plain,
    ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4324,f4258]) ).

fof(f4327,plain,
    ( p1(sK7_skl(sK12_skl,sK10_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4325,f28]) ).

fof(f4353,plain,
    ( p1(sK9_skl(sK10_skl))
    | ~ r1(sK10_skl,sK9_skl(sK10_skl))
    | p1(sK7_skl(sK12_skl,sK10_skl)) ),
    inference(resolution,[status(thm)],[f4327,f31]) ).

fof(f4354,plain,
    ( p1(sK9_skl(sK10_skl))
    | p1(sK7_skl(sK12_skl,sK10_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4353,f3364]) ).

fof(f4355,plain,
    ( ~ sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4323,f38]) ).

fof(f4356,plain,
    ( sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4355,f4258]) ).

fof(f4357,plain,
    ( r1(sK1_skl(sK12_skl,sK10_skl),sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4356,f50]) ).

fof(f4385,plain,
    ! [X0] :
      ( p1(sK14_skl(sK9_skl(sK10_skl)))
      | ~ p1(sK7_skl(sK12_skl,X0))
      | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4277,f4357]) ).

fof(f4387,plain,
    ! [X0] :
      ( ~ p1(sK7_skl(sK12_skl,X0))
      | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0)
      | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(duplicate_literals_removal,[status(thm)],[f4385]) ).

fof(f4389,plain,
    ( p1(sK9_skl(sK10_skl))
    | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | ~ r1(sK0_skl,sK10_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4387,f4354]) ).

fof(f4390,plain,
    ( p1(sK9_skl(sK10_skl))
    | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4389,f24]) ).

fof(f4391,plain,
    ( p1(sK9_skl(sK10_skl))
    | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4390,f27]) ).

fof(f4392,plain,
    ( ~ sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | p1(sK9_skl(sK10_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(resolution,[status(thm)],[f4391,f51]) ).

fof(f4393,plain,
    ( p1(sK9_skl(sK10_skl))
    | p1(sK14_skl(sK9_skl(sK10_skl))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4392,f4356]) ).

fof(f4397,plain,
    ( p1(sK9_skl(sK10_skl))
    | ~ r1(sK10_skl,sK9_skl(sK10_skl))
    | p1(sK9_skl(sK10_skl)) ),
    inference(resolution,[status(thm)],[f4393,f31]) ).

fof(f4398,plain,
    ( ~ r1(sK10_skl,sK9_skl(sK10_skl))
    | p1(sK9_skl(sK10_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f4397]) ).

fof(f4399,plain,
    p1(sK9_skl(sK10_skl)),
    inference(forward_subsumption_resolution,[status(thm)],[f4398,f3364]) ).

fof(f4417,plain,
    ( sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1787,f4399]) ).

fof(f4459,plain,
    ( r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f4417,f50]) ).

fof(f4460,plain,
    ( r1(sK3_skl(sK10_skl),sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f4417,f49]) ).

fof(f4461,plain,
    ( p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f4417,f52]) ).

fof(f4522,plain,
    ! [X0] :
      ( ~ p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
      | p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f4460,f1416]) ).

fof(f4549,plain,
    ! [X0] :
      ( ~ p1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl))
      | p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(duplicate_literals_removal,[status(thm)],[f4522]) ).

fof(f4550,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),X0)
      | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4549,f4461]) ).

fof(f5319,plain,
    ( p1(sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f4459,f4550]) ).

fof(f5340,plain,
    ( p1(sK16_skl(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl)))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(duplicate_literals_removal,[status(thm)],[f5319]) ).

fof(f5346,plain,
    ( ~ sP2_prd(sK8_skl(sK3_skl(sK10_skl),sK2_skl(sK10_skl),sK10_skl),sK3_skl(sK10_skl))
    | sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f5340,f51]) ).

fof(f5347,plain,
    sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f5346,f4417]) ).

fof(f5348,plain,
    r1(sK1_skl(sK12_skl,sK10_skl),sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl)),
    inference(resolution,[status(thm)],[f5347,f37]) ).

fof(f5349,plain,
    r1(sK12_skl,sK1_skl(sK12_skl,sK10_skl)),
    inference(resolution,[status(thm)],[f5347,f36]) ).

fof(f5350,plain,
    p1(sK1_skl(sK12_skl,sK10_skl)),
    inference(resolution,[status(thm)],[f5347,f39]) ).

fof(f5351,plain,
    ! [X0] :
      ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
      | p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0) ),
    inference(resolution,[status(thm)],[f5349,f234]) ).

fof(f5362,plain,
    ! [X0,X1] :
      ( ~ p1(sK7_skl(sK12_skl,X0))
      | p1(X1)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X1)
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0) ),
    inference(resolution,[status(thm)],[f5349,f20]) ).

fof(f5365,plain,
    ! [X0] :
      ( ~ p1(sK1_skl(sK12_skl,sK10_skl))
      | p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f5349,f53]) ).

fof(f5379,plain,
    ! [X0] :
      ( p1(X0)
      | ~ r1(sK1_skl(sK12_skl,sK10_skl),X0)
      | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5365,f5350]) ).

fof(f5405,plain,
    ( r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl))
    | p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl)) ),
    inference(resolution,[status(thm)],[f5351,f5348]) ).

fof(f5407,plain,
    ( p1(sK15_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f5379,f5348]) ).

fof(f5408,plain,
    ( ~ sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl)) ),
    inference(resolution,[status(thm)],[f5405,f38]) ).

fof(f5409,plain,
    r1(sK12_skl,sK7_skl(sK12_skl,sK10_skl)),
    inference(forward_subsumption_resolution,[status(thm)],[f5408,f5347]) ).

fof(f5410,plain,
    p1(sK7_skl(sK12_skl,sK10_skl)),
    inference(resolution,[status(thm)],[f5409,f28]) ).

fof(f5438,plain,
    ( ~ sP0_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl)
    | sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl) ),
    inference(resolution,[status(thm)],[f5407,f38]) ).

fof(f5439,plain,
    sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f5438,f5347]) ).

fof(f5440,plain,
    r1(sK1_skl(sK12_skl,sK10_skl),sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl)),
    inference(resolution,[status(thm)],[f5439,f50]) ).

fof(f5471,plain,
    ! [X0] :
      ( ~ p1(sK7_skl(sK12_skl,X0))
      | p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
      | ~ r1(X0,sK12_skl)
      | ~ r1(sK0_skl,X0) ),
    inference(resolution,[status(thm)],[f5362,f5440]) ).

fof(f5473,plain,
    ( p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl)
    | ~ r1(sK0_skl,sK10_skl) ),
    inference(resolution,[status(thm)],[f5471,f5410]) ).

fof(f5474,plain,
    ( p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl))
    | ~ r1(sK10_skl,sK12_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5473,f24]) ).

fof(f5475,plain,
    p1(sK16_skl(sK1_skl(sK12_skl,sK10_skl),sK12_skl)),
    inference(forward_subsumption_resolution,[status(thm)],[f5474,f27]) ).

fof(f5476,plain,
    ~ sP2_prd(sK1_skl(sK12_skl,sK10_skl),sK12_skl),
    inference(resolution,[status(thm)],[f5475,f51]) ).

fof(f5477,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f5476,f5439]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n008.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 00:43:08 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V4.1.1
% 40.70/5.56  % Refutation found
% 40.70/5.56  % SZS status Theorem for theBenchmark: Theorem is valid
% 40.70/5.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 40.70/5.59  % Elapsed time: 5.220227 seconds
% 40.70/5.59  % CPU time: 41.209414 seconds
% 40.70/5.59  % Total memory used: 154.050 MB
% 40.70/5.59  % Net memory used: 140.633 MB
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