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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.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 01:08:36 PM UTC 2026

% Result   : Theorem 0.16s 0.56s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   36 (   5 unt;   0 def)
%            Number of atoms       : 1818 (   0 equ)
%            Maximal formula atoms :  290 (  50 avg)
%            Number of connectives : 2884 (1102   ~; 965   |; 816   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  125 (  21 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   33 (  31 usr;   2 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;   4 con; 0-1 aty)
%            Number of variables   :  386 ( 282   !; 104   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : r1(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z] :
      ( ( r1(Y,Z)
        & r1(X,Y) )
     => r1(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,conjecture,
    ~ ? [X] :
        ~ ( ! [Y] :
              ( ~ ! [X] :
                    ( ~ ( ! [Y] :
                            ( ( p1(Y)
                              & p2(Y) )
                            | ( ~ p2(Y)
                              & ~ p1(Y) )
                            | ( p2(Y)
                              & p3(Y) )
                            | ( ~ p3(Y)
                              & ~ p2(Y) )
                            | ( p3(Y)
                              & p4(Y) )
                            | ( ~ p4(Y)
                              & ~ p3(Y) )
                            | ( p4(Y)
                              & p5(Y) )
                            | ( ~ p5(Y)
                              & ~ p4(Y) )
                            | ( p5(Y)
                              & p6(Y) )
                            | ( ~ p6(Y)
                              & ~ p5(Y) )
                            | ( p6(Y)
                              & p7(Y) )
                            | ( ~ p7(Y)
                              & ~ p6(Y) )
                            | ( p7(Y)
                              & p8(Y) )
                            | ( ~ p8(Y)
                              & ~ p7(Y) )
                            | ( p8(Y)
                              & p9(Y) )
                            | ( ~ p9(Y)
                              & ~ p8(Y) )
                            | ( p9(Y)
                              & p10(Y) )
                            | ( ~ p10(Y)
                              & ~ p9(Y) )
                            | ( p10(Y)
                              & p11(Y) )
                            | ( ~ p11(Y)
                              & ~ p10(Y) )
                            | ( p11(Y)
                              & p12(Y) )
                            | ( ~ p12(Y)
                              & ~ p11(Y) )
                            | ( p12(Y)
                              & p13(Y) )
                            | ( ~ p13(Y)
                              & ~ p12(Y) )
                            | ( p13(Y)
                              & p14(Y) )
                            | ( ~ p14(Y)
                              & ~ p13(Y) )
                            | ( p14(Y)
                              & p15(Y) )
                            | ( ~ p15(Y)
                              & ~ p14(Y) )
                            | ( p15(Y)
                              & p16(Y) )
                            | ( ~ p16(Y)
                              & ~ p15(Y) )
                            | ( p16(Y)
                              & p17(Y) )
                            | ( ~ p17(Y)
                              & ~ p16(Y) )
                            | ( p17(Y)
                              & p18(Y) )
                            | ( ~ p18(Y)
                              & ~ p17(Y) )
                            | ( p18(Y)
                              & p19(Y) )
                            | ( ~ p19(Y)
                              & ~ p18(Y) )
                            | ( p19(Y)
                              & p20(Y) )
                            | ( ~ p20(Y)
                              & ~ p19(Y) )
                            | ( p20(Y)
                              & p21(Y) )
                            | ( ~ p21(Y)
                              & ~ p20(Y) )
                            | ( p21(Y)
                              & p22(Y) )
                            | ( ~ p22(Y)
                              & ~ p21(Y) )
                            | ( p22(Y)
                              & p23(Y) )
                            | ( ~ p23(Y)
                              & ~ p22(Y) )
                            | ( p23(Y)
                              & p24(Y) )
                            | ( ~ p24(Y)
                              & ~ p23(Y) )
                            | ( p24(Y)
                              & p25(Y) )
                            | ( ~ p25(Y)
                              & ~ p24(Y) )
                            | ( p25(Y)
                              & p26(Y) )
                            | ( ~ p26(Y)
                              & ~ p25(Y) )
                            | ( p26(Y)
                              & p27(Y) )
                            | ( ~ p27(Y)
                              & ~ p26(Y) )
                            | ( p27(Y)
                              & p28(Y) )
                            | ( ~ p28(Y)
                              & ~ p27(Y) )
                            | ( p28(Y)
                              & p29(Y) )
                            | ( ~ p29(Y)
                              & ~ p28(Y) )
                            | ~ r1(X,Y) )
                        | ! [Y] :
                            ( p30(Y)
                            | ~ r1(X,Y) )
                        | ~ ! [Y] :
                              ( ~ ( ( p1(Y)
                                    & ~ p2(Y) )
                                  | ( ~ p1(Y)
                                    & p2(Y) ) )
                              | ~ r1(X,Y) )
                        | ! [Y] :
                            ( ~ ! [X] :
                                  ( ~ ( ( p2(X)
                                        & ~ p3(X) )
                                      | ( ~ p2(X)
                                        & p3(X) ) )
                                  | ~ r1(Y,X) )
                            | ! [X] :
                                ( ~ ! [Y] :
                                      ( ~ ( ( p3(Y)
                                            & ~ p4(Y) )
                                          | ( ~ p3(Y)
                                            & p4(Y) ) )
                                      | ~ r1(X,Y) )
                                | ! [Y] :
                                    ( ~ ! [X] :
                                          ( ~ ( ( p4(X)
                                                & ~ p5(X) )
                                              | ( ~ p4(X)
                                                & p5(X) ) )
                                          | ~ r1(Y,X) )
                                    | ! [X] :
                                        ( ~ ! [Y] :
                                              ( ~ ( ( p5(Y)
                                                    & ~ p6(Y) )
                                                  | ( ~ p5(Y)
                                                    & p6(Y) ) )
                                              | ~ r1(X,Y) )
                                        | ! [Y] :
                                            ( ~ ! [X] :
                                                  ( ~ ( ( p6(X)
                                                        & ~ p7(X) )
                                                      | ( ~ p6(X)
                                                        & p7(X) ) )
                                                  | ~ r1(Y,X) )
                                            | ! [X] :
                                                ( ~ ! [Y] :
                                                      ( ~ ( ( p7(Y)
                                                            & ~ p8(Y) )
                                                          | ( ~ p7(Y)
                                                            & p8(Y) ) )
                                                      | ~ r1(X,Y) )
                                                | ! [Y] :
                                                    ( ~ ! [X] :
                                                          ( ~ ( ( p8(X)
                                                                & ~ p9(X) )
                                                              | ( ~ p8(X)
                                                                & p9(X) ) )
                                                          | ~ r1(Y,X) )
                                                    | ! [X] :
                                                        ( ~ ! [Y] :
                                                              ( ~ ( ( p9(Y)
                                                                    & ~ p10(Y) )
                                                                  | ( ~ p9(Y)
                                                                    & p10(Y) ) )
                                                              | ~ r1(X,Y) )
                                                        | ! [Y] :
                                                            ( ~ ! [X] :
                                                                  ( ~ ( ( p10(X)
                                                                        & ~ p11(X) )
                                                                      | ( ~ p10(X)
                                                                        & p11(X) ) )
                                                                  | ~ r1(Y,X) )
                                                            | ! [X] :
                                                                ( ~ ! [Y] :
                                                                      ( ~ ( ( p11(Y)
                                                                            & ~ p12(Y) )
                                                                          | ( ~ p11(Y)
                                                                            & p12(Y) ) )
                                                                      | ~ r1(X,Y) )
                                                                | ! [Y] :
                                                                    ( ~ ! [X] :
                                                                          ( ~ ( ( p12(X)
                                                                                & ~ p13(X) )
                                                                              | ( ~ p12(X)
                                                                                & p13(X) ) )
                                                                          | ~ r1(Y,X) )
                                                                    | ! [X] :
                                                                        ( ~ ! [Y] :
                                                                              ( ~ ( ( p13(Y)
                                                                                    & ~ p14(Y) )
                                                                                  | ( ~ p13(Y)
                                                                                    & p14(Y) ) )
                                                                              | ~ r1(X,Y) )
                                                                        | ! [Y] :
                                                                            ( ~ ! [X] :
                                                                                  ( ~ ( ( p14(X)
                                                                                        & ~ p15(X) )
                                                                                      | ( ~ p14(X)
                                                                                        & p15(X) ) )
                                                                                  | ~ r1(Y,X) )
                                                                            | ! [X] :
                                                                                ( ~ ! [Y] :
                                                                                      ( ~ ( ( p15(Y)
                                                                                            & ~ p16(Y) )
                                                                                          | ( ~ p15(Y)
                                                                                            & p16(Y) ) )
                                                                                      | ~ r1(X,Y) )
                                                                                | ! [Y] :
                                                                                    ( ~ ! [X] :
                                                                                          ( ~ ( ( p16(X)
                                                                                                & ~ p17(X) )
                                                                                              | ( ~ p16(X)
                                                                                                & p17(X) ) )
                                                                                          | ~ r1(Y,X) )
                                                                                    | ! [X] :
                                                                                        ( ~ ! [Y] :
                                                                                              ( ~ ( ( p17(Y)
                                                                                                    & ~ p18(Y) )
                                                                                                  | ( ~ p17(Y)
                                                                                                    & p18(Y) ) )
                                                                                              | ~ r1(X,Y) )
                                                                                        | ! [Y] :
                                                                                            ( ~ ! [X] :
                                                                                                  ( ~ ( ( p18(X)
                                                                                                        & ~ p19(X) )
                                                                                                      | ( ~ p18(X)
                                                                                                        & p19(X) ) )
                                                                                                  | ~ r1(Y,X) )
                                                                                            | ! [X] :
                                                                                                ( ~ ! [Y] :
                                                                                                      ( ~ ( ( p19(Y)
                                                                                                            & ~ p20(Y) )
                                                                                                          | ( ~ p19(Y)
                                                                                                            & p20(Y) ) )
                                                                                                      | ~ r1(X,Y) )
                                                                                                | ! [Y] :
                                                                                                    ( ~ ! [X] :
                                                                                                          ( ~ ( ( p20(X)
                                                                                                                & ~ p21(X) )
                                                                                                              | ( ~ p20(X)
                                                                                                                & p21(X) ) )
                                                                                                          | ~ r1(Y,X) )
                                                                                                    | ! [X] :
                                                                                                        ( ~ ! [Y] :
                                                                                                              ( ~ ( ( p21(Y)
                                                                                                                    & ~ p22(Y) )
                                                                                                                  | ( ~ p21(Y)
                                                                                                                    & p22(Y) ) )
                                                                                                              | ~ r1(X,Y) )
                                                                                                        | ! [Y] :
                                                                                                            ( ~ ! [X] :
                                                                                                                  ( ~ ( ( p22(X)
                                                                                                                        & ~ p23(X) )
                                                                                                                      | ( ~ p22(X)
                                                                                                                        & p23(X) ) )
                                                                                                                  | ~ r1(Y,X) )
                                                                                                            | ! [X] :
                                                                                                                ( ~ ! [Y] :
                                                                                                                      ( ~ ( ( p23(Y)
                                                                                                                            & ~ p24(Y) )
                                                                                                                          | ( ~ p23(Y)
                                                                                                                            & p24(Y) ) )
                                                                                                                      | ~ r1(X,Y) )
                                                                                                                | ! [Y] :
                                                                                                                    ( ~ ! [X] :
                                                                                                                          ( ~ ( ( p24(X)
                                                                                                                                & ~ p25(X) )
                                                                                                                              | ( ~ p24(X)
                                                                                                                                & p25(X) ) )
                                                                                                                          | ~ r1(Y,X) )
                                                                                                                    | ! [X] :
                                                                                                                        ( ~ ! [Y] :
                                                                                                                              ( ~ ( ( p25(Y)
                                                                                                                                    & ~ p26(Y) )
                                                                                                                                  | ( ~ p25(Y)
                                                                                                                                    & p26(Y) ) )
                                                                                                                              | ~ r1(X,Y) )
                                                                                                                        | ! [Y] :
                                                                                                                            ( ~ ! [X] :
                                                                                                                                  ( ~ ( ( p26(X)
                                                                                                                                        & ~ p27(X) )
                                                                                                                                      | ( ~ p26(X)
                                                                                                                                        & p27(X) ) )
                                                                                                                                  | ~ r1(Y,X) )
                                                                                                                            | ! [X] :
                                                                                                                                ( ~ ! [Y] :
                                                                                                                                      ( ~ ( ( p27(Y)
                                                                                                                                            & ~ p28(Y) )
                                                                                                                                          | ( ~ p27(Y)
                                                                                                                                            & p28(Y) ) )
                                                                                                                                      | ~ r1(X,Y) )
                                                                                                                                | ! [Y] :
                                                                                                                                    ( ~ ! [X] :
                                                                                                                                          ( ~ ( ( p28(X)
                                                                                                                                                & ~ p29(X) )
                                                                                                                                              | ( ~ p28(X)
                                                                                                                                                & p29(X) ) )
                                                                                                                                          | ~ r1(Y,X) )
                                                                                                                                    | ! [X] :
                                                                                                                                        ( $false
                                                                                                                                        | ~ r1(Y,X) )
                                                                                                                                    | ~ r1(X,Y) )
                                                                                                                                | ~ r1(Y,X) )
                                                                                                                            | ~ r1(X,Y) )
                                                                                                                        | ~ r1(Y,X) )
                                                                                                                    | ~ r1(X,Y) )
                                                                                                                | ~ r1(Y,X) )
                                                                                                            | ~ r1(X,Y) )
                                                                                                        | ~ r1(Y,X) )
                                                                                                    | ~ r1(X,Y) )
                                                                                                | ~ r1(Y,X) )
                                                                                            | ~ r1(X,Y) )
                                                                                        | ~ r1(Y,X) )
                                                                                    | ~ r1(X,Y) )
                                                                                | ~ r1(Y,X) )
                                                                            | ~ r1(X,Y) )
                                                                        | ~ r1(Y,X) )
                                                                    | ~ r1(X,Y) )
                                                                | ~ r1(Y,X) )
                                                            | ~ r1(X,Y) )
                                                        | ~ r1(Y,X) )
                                                    | ~ r1(X,Y) )
                                                | ~ r1(Y,X) )
                                            | ~ r1(X,Y) )
                                        | ~ r1(Y,X) )
                                    | ~ r1(X,Y) )
                                | ~ r1(Y,X) )
                            | ~ r1(X,Y) ) )
                    | ~ r1(Y,X) )
              | ~ r1(X,Y) )
          | ! [Y] :
              ( ! [X] :
                  ( ~ p1(X)
                  | ~ r1(Y,X) )
              | ~ p30(Y)
              | ~ r1(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ ~ ? [X] :
          ~ ( ! [Y] :
                ( ~ ! [X] :
                      ( ~ ( ! [Y] :
                              ( ( p1(Y)
                                & p2(Y) )
                              | ( ~ p2(Y)
                                & ~ p1(Y) )
                              | ( p2(Y)
                                & p3(Y) )
                              | ( ~ p3(Y)
                                & ~ p2(Y) )
                              | ( p3(Y)
                                & p4(Y) )
                              | ( ~ p4(Y)
                                & ~ p3(Y) )
                              | ( p4(Y)
                                & p5(Y) )
                              | ( ~ p5(Y)
                                & ~ p4(Y) )
                              | ( p5(Y)
                                & p6(Y) )
                              | ( ~ p6(Y)
                                & ~ p5(Y) )
                              | ( p6(Y)
                                & p7(Y) )
                              | ( ~ p7(Y)
                                & ~ p6(Y) )
                              | ( p7(Y)
                                & p8(Y) )
                              | ( ~ p8(Y)
                                & ~ p7(Y) )
                              | ( p8(Y)
                                & p9(Y) )
                              | ( ~ p9(Y)
                                & ~ p8(Y) )
                              | ( p9(Y)
                                & p10(Y) )
                              | ( ~ p10(Y)
                                & ~ p9(Y) )
                              | ( p10(Y)
                                & p11(Y) )
                              | ( ~ p11(Y)
                                & ~ p10(Y) )
                              | ( p11(Y)
                                & p12(Y) )
                              | ( ~ p12(Y)
                                & ~ p11(Y) )
                              | ( p12(Y)
                                & p13(Y) )
                              | ( ~ p13(Y)
                                & ~ p12(Y) )
                              | ( p13(Y)
                                & p14(Y) )
                              | ( ~ p14(Y)
                                & ~ p13(Y) )
                              | ( p14(Y)
                                & p15(Y) )
                              | ( ~ p15(Y)
                                & ~ p14(Y) )
                              | ( p15(Y)
                                & p16(Y) )
                              | ( ~ p16(Y)
                                & ~ p15(Y) )
                              | ( p16(Y)
                                & p17(Y) )
                              | ( ~ p17(Y)
                                & ~ p16(Y) )
                              | ( p17(Y)
                                & p18(Y) )
                              | ( ~ p18(Y)
                                & ~ p17(Y) )
                              | ( p18(Y)
                                & p19(Y) )
                              | ( ~ p19(Y)
                                & ~ p18(Y) )
                              | ( p19(Y)
                                & p20(Y) )
                              | ( ~ p20(Y)
                                & ~ p19(Y) )
                              | ( p20(Y)
                                & p21(Y) )
                              | ( ~ p21(Y)
                                & ~ p20(Y) )
                              | ( p21(Y)
                                & p22(Y) )
                              | ( ~ p22(Y)
                                & ~ p21(Y) )
                              | ( p22(Y)
                                & p23(Y) )
                              | ( ~ p23(Y)
                                & ~ p22(Y) )
                              | ( p23(Y)
                                & p24(Y) )
                              | ( ~ p24(Y)
                                & ~ p23(Y) )
                              | ( p24(Y)
                                & p25(Y) )
                              | ( ~ p25(Y)
                                & ~ p24(Y) )
                              | ( p25(Y)
                                & p26(Y) )
                              | ( ~ p26(Y)
                                & ~ p25(Y) )
                              | ( p26(Y)
                                & p27(Y) )
                              | ( ~ p27(Y)
                                & ~ p26(Y) )
                              | ( p27(Y)
                                & p28(Y) )
                              | ( ~ p28(Y)
                                & ~ p27(Y) )
                              | ( p28(Y)
                                & p29(Y) )
                              | ( ~ p29(Y)
                                & ~ p28(Y) )
                              | ~ r1(X,Y) )
                          | ! [Y] :
                              ( p30(Y)
                              | ~ r1(X,Y) )
                          | ~ ! [Y] :
                                ( ~ ( ( p1(Y)
                                      & ~ p2(Y) )
                                    | ( ~ p1(Y)
                                      & p2(Y) ) )
                                | ~ r1(X,Y) )
                          | ! [Y] :
                              ( ~ ! [X] :
                                    ( ~ ( ( p2(X)
                                          & ~ p3(X) )
                                        | ( ~ p2(X)
                                          & p3(X) ) )
                                    | ~ r1(Y,X) )
                              | ! [X] :
                                  ( ~ ! [Y] :
                                        ( ~ ( ( p3(Y)
                                              & ~ p4(Y) )
                                            | ( ~ p3(Y)
                                              & p4(Y) ) )
                                        | ~ r1(X,Y) )
                                  | ! [Y] :
                                      ( ~ ! [X] :
                                            ( ~ ( ( p4(X)
                                                  & ~ p5(X) )
                                                | ( ~ p4(X)
                                                  & p5(X) ) )
                                            | ~ r1(Y,X) )
                                      | ! [X] :
                                          ( ~ ! [Y] :
                                                ( ~ ( ( p5(Y)
                                                      & ~ p6(Y) )
                                                    | ( ~ p5(Y)
                                                      & p6(Y) ) )
                                                | ~ r1(X,Y) )
                                          | ! [Y] :
                                              ( ~ ! [X] :
                                                    ( ~ ( ( p6(X)
                                                          & ~ p7(X) )
                                                        | ( ~ p6(X)
                                                          & p7(X) ) )
                                                    | ~ r1(Y,X) )
                                              | ! [X] :
                                                  ( ~ ! [Y] :
                                                        ( ~ ( ( p7(Y)
                                                              & ~ p8(Y) )
                                                            | ( ~ p7(Y)
                                                              & p8(Y) ) )
                                                        | ~ r1(X,Y) )
                                                  | ! [Y] :
                                                      ( ~ ! [X] :
                                                            ( ~ ( ( p8(X)
                                                                  & ~ p9(X) )
                                                                | ( ~ p8(X)
                                                                  & p9(X) ) )
                                                            | ~ r1(Y,X) )
                                                      | ! [X] :
                                                          ( ~ ! [Y] :
                                                                ( ~ ( ( p9(Y)
                                                                      & ~ p10(Y) )
                                                                    | ( ~ p9(Y)
                                                                      & p10(Y) ) )
                                                                | ~ r1(X,Y) )
                                                          | ! [Y] :
                                                              ( ~ ! [X] :
                                                                    ( ~ ( ( p10(X)
                                                                          & ~ p11(X) )
                                                                        | ( ~ p10(X)
                                                                          & p11(X) ) )
                                                                    | ~ r1(Y,X) )
                                                              | ! [X] :
                                                                  ( ~ ! [Y] :
                                                                        ( ~ ( ( p11(Y)
                                                                              & ~ p12(Y) )
                                                                            | ( ~ p11(Y)
                                                                              & p12(Y) ) )
                                                                        | ~ r1(X,Y) )
                                                                  | ! [Y] :
                                                                      ( ~ ! [X] :
                                                                            ( ~ ( ( p12(X)
                                                                                  & ~ p13(X) )
                                                                                | ( ~ p12(X)
                                                                                  & p13(X) ) )
                                                                            | ~ r1(Y,X) )
                                                                      | ! [X] :
                                                                          ( ~ ! [Y] :
                                                                                ( ~ ( ( p13(Y)
                                                                                      & ~ p14(Y) )
                                                                                    | ( ~ p13(Y)
                                                                                      & p14(Y) ) )
                                                                                | ~ r1(X,Y) )
                                                                          | ! [Y] :
                                                                              ( ~ ! [X] :
                                                                                    ( ~ ( ( p14(X)
                                                                                          & ~ p15(X) )
                                                                                        | ( ~ p14(X)
                                                                                          & p15(X) ) )
                                                                                    | ~ r1(Y,X) )
                                                                              | ! [X] :
                                                                                  ( ~ ! [Y] :
                                                                                        ( ~ ( ( p15(Y)
                                                                                              & ~ p16(Y) )
                                                                                            | ( ~ p15(Y)
                                                                                              & p16(Y) ) )
                                                                                        | ~ r1(X,Y) )
                                                                                  | ! [Y] :
                                                                                      ( ~ ! [X] :
                                                                                            ( ~ ( ( p16(X)
                                                                                                  & ~ p17(X) )
                                                                                                | ( ~ p16(X)
                                                                                                  & p17(X) ) )
                                                                                            | ~ r1(Y,X) )
                                                                                      | ! [X] :
                                                                                          ( ~ ! [Y] :
                                                                                                ( ~ ( ( p17(Y)
                                                                                                      & ~ p18(Y) )
                                                                                                    | ( ~ p17(Y)
                                                                                                      & p18(Y) ) )
                                                                                                | ~ r1(X,Y) )
                                                                                          | ! [Y] :
                                                                                              ( ~ ! [X] :
                                                                                                    ( ~ ( ( p18(X)
                                                                                                          & ~ p19(X) )
                                                                                                        | ( ~ p18(X)
                                                                                                          & p19(X) ) )
                                                                                                    | ~ r1(Y,X) )
                                                                                              | ! [X] :
                                                                                                  ( ~ ! [Y] :
                                                                                                        ( ~ ( ( p19(Y)
                                                                                                              & ~ p20(Y) )
                                                                                                            | ( ~ p19(Y)
                                                                                                              & p20(Y) ) )
                                                                                                        | ~ r1(X,Y) )
                                                                                                  | ! [Y] :
                                                                                                      ( ~ ! [X] :
                                                                                                            ( ~ ( ( p20(X)
                                                                                                                  & ~ p21(X) )
                                                                                                                | ( ~ p20(X)
                                                                                                                  & p21(X) ) )
                                                                                                            | ~ r1(Y,X) )
                                                                                                      | ! [X] :
                                                                                                          ( ~ ! [Y] :
                                                                                                                ( ~ ( ( p21(Y)
                                                                                                                      & ~ p22(Y) )
                                                                                                                    | ( ~ p21(Y)
                                                                                                                      & p22(Y) ) )
                                                                                                                | ~ r1(X,Y) )
                                                                                                          | ! [Y] :
                                                                                                              ( ~ ! [X] :
                                                                                                                    ( ~ ( ( p22(X)
                                                                                                                          & ~ p23(X) )
                                                                                                                        | ( ~ p22(X)
                                                                                                                          & p23(X) ) )
                                                                                                                    | ~ r1(Y,X) )
                                                                                                              | ! [X] :
                                                                                                                  ( ~ ! [Y] :
                                                                                                                        ( ~ ( ( p23(Y)
                                                                                                                              & ~ p24(Y) )
                                                                                                                            | ( ~ p23(Y)
                                                                                                                              & p24(Y) ) )
                                                                                                                        | ~ r1(X,Y) )
                                                                                                                  | ! [Y] :
                                                                                                                      ( ~ ! [X] :
                                                                                                                            ( ~ ( ( p24(X)
                                                                                                                                  & ~ p25(X) )
                                                                                                                                | ( ~ p24(X)
                                                                                                                                  & p25(X) ) )
                                                                                                                            | ~ r1(Y,X) )
                                                                                                                      | ! [X] :
                                                                                                                          ( ~ ! [Y] :
                                                                                                                                ( ~ ( ( p25(Y)
                                                                                                                                      & ~ p26(Y) )
                                                                                                                                    | ( ~ p25(Y)
                                                                                                                                      & p26(Y) ) )
                                                                                                                                | ~ r1(X,Y) )
                                                                                                                          | ! [Y] :
                                                                                                                              ( ~ ! [X] :
                                                                                                                                    ( ~ ( ( p26(X)
                                                                                                                                          & ~ p27(X) )
                                                                                                                                        | ( ~ p26(X)
                                                                                                                                          & p27(X) ) )
                                                                                                                                    | ~ r1(Y,X) )
                                                                                                                              | ! [X] :
                                                                                                                                  ( ~ ! [Y] :
                                                                                                                                        ( ~ ( ( p27(Y)
                                                                                                                                              & ~ p28(Y) )
                                                                                                                                            | ( ~ p27(Y)
                                                                                                                                              & p28(Y) ) )
                                                                                                                                        | ~ r1(X,Y) )
                                                                                                                                  | ! [Y] :
                                                                                                                                      ( ~ ! [X] :
                                                                                                                                            ( ~ ( ( p28(X)
                                                                                                                                                  & ~ p29(X) )
                                                                                                                                                | ( ~ p28(X)
                                                                                                                                                  & p29(X) ) )
                                                                                                                                            | ~ r1(Y,X) )
                                                                                                                                      | ! [X] :
                                                                                                                                          ( $false
                                                                                                                                          | ~ r1(Y,X) )
                                                                                                                                      | ~ r1(X,Y) )
                                                                                                                                  | ~ r1(Y,X) )
                                                                                                                              | ~ r1(X,Y) )
                                                                                                                          | ~ r1(Y,X) )
                                                                                                                      | ~ r1(X,Y) )
                                                                                                                  | ~ r1(Y,X) )
                                                                                                              | ~ r1(X,Y) )
                                                                                                          | ~ r1(Y,X) )
                                                                                                      | ~ r1(X,Y) )
                                                                                                  | ~ r1(Y,X) )
                                                                                              | ~ r1(X,Y) )
                                                                                          | ~ r1(Y,X) )
                                                                                      | ~ r1(X,Y) )
                                                                                  | ~ r1(Y,X) )
                                                                              | ~ r1(X,Y) )
                                                                          | ~ r1(Y,X) )
                                                                      | ~ r1(X,Y) )
                                                                  | ~ r1(Y,X) )
                                                              | ~ r1(X,Y) )
                                                          | ~ r1(Y,X) )
                                                      | ~ r1(X,Y) )
                                                  | ~ r1(Y,X) )
                                              | ~ r1(X,Y) )
                                          | ~ r1(Y,X) )
                                      | ~ r1(X,Y) )
                                  | ~ r1(Y,X) )
                              | ~ r1(X,Y) ) )
                      | ~ r1(Y,X) )
                | ~ r1(X,Y) )
            | ! [Y] :
                ( ! [X] :
                    ( ~ p1(X)
                    | ~ r1(Y,X) )
                | ~ p30(Y)
                | ~ r1(X,Y) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f6,plain,
    ! [X,Y,Z] :
      ( r1(X,Z)
      | ~ r1(Y,Z)
      | ~ r1(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f7,plain,
    ! [X,Z] :
      ( r1(X,Z)
      | ! [Y] :
          ( ~ r1(Y,Z)
          | ~ r1(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( r1(X0,X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f9,plain,
    ? [X] :
      ( ? [Y] :
          ( ! [X] :
              ( ( ? [Y] :
                    ( ( ~ p1(Y)
                      | ~ p2(Y) )
                    & ( p2(Y)
                      | p1(Y) )
                    & ( ~ p2(Y)
                      | ~ p3(Y) )
                    & ( p3(Y)
                      | p2(Y) )
                    & ( ~ p3(Y)
                      | ~ p4(Y) )
                    & ( p4(Y)
                      | p3(Y) )
                    & ( ~ p4(Y)
                      | ~ p5(Y) )
                    & ( p5(Y)
                      | p4(Y) )
                    & ( ~ p5(Y)
                      | ~ p6(Y) )
                    & ( p6(Y)
                      | p5(Y) )
                    & ( ~ p6(Y)
                      | ~ p7(Y) )
                    & ( p7(Y)
                      | p6(Y) )
                    & ( ~ p7(Y)
                      | ~ p8(Y) )
                    & ( p8(Y)
                      | p7(Y) )
                    & ( ~ p8(Y)
                      | ~ p9(Y) )
                    & ( p9(Y)
                      | p8(Y) )
                    & ( ~ p9(Y)
                      | ~ p10(Y) )
                    & ( p10(Y)
                      | p9(Y) )
                    & ( ~ p10(Y)
                      | ~ p11(Y) )
                    & ( p11(Y)
                      | p10(Y) )
                    & ( ~ p11(Y)
                      | ~ p12(Y) )
                    & ( p12(Y)
                      | p11(Y) )
                    & ( ~ p12(Y)
                      | ~ p13(Y) )
                    & ( p13(Y)
                      | p12(Y) )
                    & ( ~ p13(Y)
                      | ~ p14(Y) )
                    & ( p14(Y)
                      | p13(Y) )
                    & ( ~ p14(Y)
                      | ~ p15(Y) )
                    & ( p15(Y)
                      | p14(Y) )
                    & ( ~ p15(Y)
                      | ~ p16(Y) )
                    & ( p16(Y)
                      | p15(Y) )
                    & ( ~ p16(Y)
                      | ~ p17(Y) )
                    & ( p17(Y)
                      | p16(Y) )
                    & ( ~ p17(Y)
                      | ~ p18(Y) )
                    & ( p18(Y)
                      | p17(Y) )
                    & ( ~ p18(Y)
                      | ~ p19(Y) )
                    & ( p19(Y)
                      | p18(Y) )
                    & ( ~ p19(Y)
                      | ~ p20(Y) )
                    & ( p20(Y)
                      | p19(Y) )
                    & ( ~ p20(Y)
                      | ~ p21(Y) )
                    & ( p21(Y)
                      | p20(Y) )
                    & ( ~ p21(Y)
                      | ~ p22(Y) )
                    & ( p22(Y)
                      | p21(Y) )
                    & ( ~ p22(Y)
                      | ~ p23(Y) )
                    & ( p23(Y)
                      | p22(Y) )
                    & ( ~ p23(Y)
                      | ~ p24(Y) )
                    & ( p24(Y)
                      | p23(Y) )
                    & ( ~ p24(Y)
                      | ~ p25(Y) )
                    & ( p25(Y)
                      | p24(Y) )
                    & ( ~ p25(Y)
                      | ~ p26(Y) )
                    & ( p26(Y)
                      | p25(Y) )
                    & ( ~ p26(Y)
                      | ~ p27(Y) )
                    & ( p27(Y)
                      | p26(Y) )
                    & ( ~ p27(Y)
                      | ~ p28(Y) )
                    & ( p28(Y)
                      | p27(Y) )
                    & ( ~ p28(Y)
                      | ~ p29(Y) )
                    & ( p29(Y)
                      | p28(Y) )
                    & r1(X,Y) )
                & ? [Y] :
                    ( ~ p30(Y)
                    & r1(X,Y) )
                & ! [Y] :
                    ( ( ( ~ p1(Y)
                        | p2(Y) )
                      & ( p1(Y)
                        | ~ p2(Y) ) )
                    | ~ r1(X,Y) )
                & ? [Y] :
                    ( ! [X] :
                        ( ( ( ~ p2(X)
                            | p3(X) )
                          & ( p2(X)
                            | ~ p3(X) ) )
                        | ~ r1(Y,X) )
                    & ? [X] :
                        ( ! [Y] :
                            ( ( ( ~ p3(Y)
                                | p4(Y) )
                              & ( p3(Y)
                                | ~ p4(Y) ) )
                            | ~ r1(X,Y) )
                        & ? [Y] :
                            ( ! [X] :
                                ( ( ( ~ p4(X)
                                    | p5(X) )
                                  & ( p4(X)
                                    | ~ p5(X) ) )
                                | ~ r1(Y,X) )
                            & ? [X] :
                                ( ! [Y] :
                                    ( ( ( ~ p5(Y)
                                        | p6(Y) )
                                      & ( p5(Y)
                                        | ~ p6(Y) ) )
                                    | ~ r1(X,Y) )
                                & ? [Y] :
                                    ( ! [X] :
                                        ( ( ( ~ p6(X)
                                            | p7(X) )
                                          & ( p6(X)
                                            | ~ p7(X) ) )
                                        | ~ r1(Y,X) )
                                    & ? [X] :
                                        ( ! [Y] :
                                            ( ( ( ~ p7(Y)
                                                | p8(Y) )
                                              & ( p7(Y)
                                                | ~ p8(Y) ) )
                                            | ~ r1(X,Y) )
                                        & ? [Y] :
                                            ( ! [X] :
                                                ( ( ( ~ p8(X)
                                                    | p9(X) )
                                                  & ( p8(X)
                                                    | ~ p9(X) ) )
                                                | ~ r1(Y,X) )
                                            & ? [X] :
                                                ( ! [Y] :
                                                    ( ( ( ~ p9(Y)
                                                        | p10(Y) )
                                                      & ( p9(Y)
                                                        | ~ p10(Y) ) )
                                                    | ~ r1(X,Y) )
                                                & ? [Y] :
                                                    ( ! [X] :
                                                        ( ( ( ~ p10(X)
                                                            | p11(X) )
                                                          & ( p10(X)
                                                            | ~ p11(X) ) )
                                                        | ~ r1(Y,X) )
                                                    & ? [X] :
                                                        ( ! [Y] :
                                                            ( ( ( ~ p11(Y)
                                                                | p12(Y) )
                                                              & ( p11(Y)
                                                                | ~ p12(Y) ) )
                                                            | ~ r1(X,Y) )
                                                        & ? [Y] :
                                                            ( ! [X] :
                                                                ( ( ( ~ p12(X)
                                                                    | p13(X) )
                                                                  & ( p12(X)
                                                                    | ~ p13(X) ) )
                                                                | ~ r1(Y,X) )
                                                            & ? [X] :
                                                                ( ! [Y] :
                                                                    ( ( ( ~ p13(Y)
                                                                        | p14(Y) )
                                                                      & ( p13(Y)
                                                                        | ~ p14(Y) ) )
                                                                    | ~ r1(X,Y) )
                                                                & ? [Y] :
                                                                    ( ! [X] :
                                                                        ( ( ( ~ p14(X)
                                                                            | p15(X) )
                                                                          & ( p14(X)
                                                                            | ~ p15(X) ) )
                                                                        | ~ r1(Y,X) )
                                                                    & ? [X] :
                                                                        ( ! [Y] :
                                                                            ( ( ( ~ p15(Y)
                                                                                | p16(Y) )
                                                                              & ( p15(Y)
                                                                                | ~ p16(Y) ) )
                                                                            | ~ r1(X,Y) )
                                                                        & ? [Y] :
                                                                            ( ! [X] :
                                                                                ( ( ( ~ p16(X)
                                                                                    | p17(X) )
                                                                                  & ( p16(X)
                                                                                    | ~ p17(X) ) )
                                                                                | ~ r1(Y,X) )
                                                                            & ? [X] :
                                                                                ( ! [Y] :
                                                                                    ( ( ( ~ p17(Y)
                                                                                        | p18(Y) )
                                                                                      & ( p17(Y)
                                                                                        | ~ p18(Y) ) )
                                                                                    | ~ r1(X,Y) )
                                                                                & ? [Y] :
                                                                                    ( ! [X] :
                                                                                        ( ( ( ~ p18(X)
                                                                                            | p19(X) )
                                                                                          & ( p18(X)
                                                                                            | ~ p19(X) ) )
                                                                                        | ~ r1(Y,X) )
                                                                                    & ? [X] :
                                                                                        ( ! [Y] :
                                                                                            ( ( ( ~ p19(Y)
                                                                                                | p20(Y) )
                                                                                              & ( p19(Y)
                                                                                                | ~ p20(Y) ) )
                                                                                            | ~ r1(X,Y) )
                                                                                        & ? [Y] :
                                                                                            ( ! [X] :
                                                                                                ( ( ( ~ p20(X)
                                                                                                    | p21(X) )
                                                                                                  & ( p20(X)
                                                                                                    | ~ p21(X) ) )
                                                                                                | ~ r1(Y,X) )
                                                                                            & ? [X] :
                                                                                                ( ! [Y] :
                                                                                                    ( ( ( ~ p21(Y)
                                                                                                        | p22(Y) )
                                                                                                      & ( p21(Y)
                                                                                                        | ~ p22(Y) ) )
                                                                                                    | ~ r1(X,Y) )
                                                                                                & ? [Y] :
                                                                                                    ( ! [X] :
                                                                                                        ( ( ( ~ p22(X)
                                                                                                            | p23(X) )
                                                                                                          & ( p22(X)
                                                                                                            | ~ p23(X) ) )
                                                                                                        | ~ r1(Y,X) )
                                                                                                    & ? [X] :
                                                                                                        ( ! [Y] :
                                                                                                            ( ( ( ~ p23(Y)
                                                                                                                | p24(Y) )
                                                                                                              & ( p23(Y)
                                                                                                                | ~ p24(Y) ) )
                                                                                                            | ~ r1(X,Y) )
                                                                                                        & ? [Y] :
                                                                                                            ( ! [X] :
                                                                                                                ( ( ( ~ p24(X)
                                                                                                                    | p25(X) )
                                                                                                                  & ( p24(X)
                                                                                                                    | ~ p25(X) ) )
                                                                                                                | ~ r1(Y,X) )
                                                                                                            & ? [X] :
                                                                                                                ( ! [Y] :
                                                                                                                    ( ( ( ~ p25(Y)
                                                                                                                        | p26(Y) )
                                                                                                                      & ( p25(Y)
                                                                                                                        | ~ p26(Y) ) )
                                                                                                                    | ~ r1(X,Y) )
                                                                                                                & ? [Y] :
                                                                                                                    ( ! [X] :
                                                                                                                        ( ( ( ~ p26(X)
                                                                                                                            | p27(X) )
                                                                                                                          & ( p26(X)
                                                                                                                            | ~ p27(X) ) )
                                                                                                                        | ~ r1(Y,X) )
                                                                                                                    & ? [X] :
                                                                                                                        ( ! [Y] :
                                                                                                                            ( ( ( ~ p27(Y)
                                                                                                                                | p28(Y) )
                                                                                                                              & ( p27(Y)
                                                                                                                                | ~ p28(Y) ) )
                                                                                                                            | ~ r1(X,Y) )
                                                                                                                        & ? [Y] :
                                                                                                                            ( ! [X] :
                                                                                                                                ( ( ( ~ p28(X)
                                                                                                                                    | p29(X) )
                                                                                                                                  & ( p28(X)
                                                                                                                                    | ~ p29(X) ) )
                                                                                                                                | ~ r1(Y,X) )
                                                                                                                            & ? [X] :
                                                                                                                                ( $true
                                                                                                                                & r1(Y,X) )
                                                                                                                            & r1(X,Y) )
                                                                                                                        & r1(Y,X) )
                                                                                                                    & r1(X,Y) )
                                                                                                                & r1(Y,X) )
                                                                                                            & r1(X,Y) )
                                                                                                        & r1(Y,X) )
                                                                                                    & r1(X,Y) )
                                                                                                & r1(Y,X) )
                                                                                            & r1(X,Y) )
                                                                                        & r1(Y,X) )
                                                                                    & r1(X,Y) )
                                                                                & r1(Y,X) )
                                                                            & r1(X,Y) )
                                                                        & r1(Y,X) )
                                                                    & r1(X,Y) )
                                                                & r1(Y,X) )
                                                            & r1(X,Y) )
                                                        & r1(Y,X) )
                                                    & r1(X,Y) )
                                                & r1(Y,X) )
                                            & r1(X,Y) )
                                        & r1(Y,X) )
                                    & r1(X,Y) )
                                & r1(Y,X) )
                            & r1(X,Y) )
                        & r1(Y,X) )
                    & r1(X,Y) ) )
              | ~ r1(Y,X) )
          & r1(X,Y) )
      & ? [Y] :
          ( ? [X] :
              ( p1(X)
              & r1(Y,X) )
          & p30(Y)
          & r1(X,Y) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f4]) ).

fof(f10,plain,
    ? [X] :
      ( ? [Y] :
          ( ! [X] :
              ( ( ? [Y] :
                    ( ( ~ p1(Y)
                      | ~ p2(Y) )
                    & ( p2(Y)
                      | p1(Y) )
                    & ( ~ p2(Y)
                      | ~ p3(Y) )
                    & ( p3(Y)
                      | p2(Y) )
                    & ( ~ p3(Y)
                      | ~ p4(Y) )
                    & ( p4(Y)
                      | p3(Y) )
                    & ( ~ p4(Y)
                      | ~ p5(Y) )
                    & ( p5(Y)
                      | p4(Y) )
                    & ( ~ p5(Y)
                      | ~ p6(Y) )
                    & ( p6(Y)
                      | p5(Y) )
                    & ( ~ p6(Y)
                      | ~ p7(Y) )
                    & ( p7(Y)
                      | p6(Y) )
                    & ( ~ p7(Y)
                      | ~ p8(Y) )
                    & ( p8(Y)
                      | p7(Y) )
                    & ( ~ p8(Y)
                      | ~ p9(Y) )
                    & ( p9(Y)
                      | p8(Y) )
                    & ( ~ p9(Y)
                      | ~ p10(Y) )
                    & ( p10(Y)
                      | p9(Y) )
                    & ( ~ p10(Y)
                      | ~ p11(Y) )
                    & ( p11(Y)
                      | p10(Y) )
                    & ( ~ p11(Y)
                      | ~ p12(Y) )
                    & ( p12(Y)
                      | p11(Y) )
                    & ( ~ p12(Y)
                      | ~ p13(Y) )
                    & ( p13(Y)
                      | p12(Y) )
                    & ( ~ p13(Y)
                      | ~ p14(Y) )
                    & ( p14(Y)
                      | p13(Y) )
                    & ( ~ p14(Y)
                      | ~ p15(Y) )
                    & ( p15(Y)
                      | p14(Y) )
                    & ( ~ p15(Y)
                      | ~ p16(Y) )
                    & ( p16(Y)
                      | p15(Y) )
                    & ( ~ p16(Y)
                      | ~ p17(Y) )
                    & ( p17(Y)
                      | p16(Y) )
                    & ( ~ p17(Y)
                      | ~ p18(Y) )
                    & ( p18(Y)
                      | p17(Y) )
                    & ( ~ p18(Y)
                      | ~ p19(Y) )
                    & ( p19(Y)
                      | p18(Y) )
                    & ( ~ p19(Y)
                      | ~ p20(Y) )
                    & ( p20(Y)
                      | p19(Y) )
                    & ( ~ p20(Y)
                      | ~ p21(Y) )
                    & ( p21(Y)
                      | p20(Y) )
                    & ( ~ p21(Y)
                      | ~ p22(Y) )
                    & ( p22(Y)
                      | p21(Y) )
                    & ( ~ p22(Y)
                      | ~ p23(Y) )
                    & ( p23(Y)
                      | p22(Y) )
                    & ( ~ p23(Y)
                      | ~ p24(Y) )
                    & ( p24(Y)
                      | p23(Y) )
                    & ( ~ p24(Y)
                      | ~ p25(Y) )
                    & ( p25(Y)
                      | p24(Y) )
                    & ( ~ p25(Y)
                      | ~ p26(Y) )
                    & ( p26(Y)
                      | p25(Y) )
                    & ( ~ p26(Y)
                      | ~ p27(Y) )
                    & ( p27(Y)
                      | p26(Y) )
                    & ( ~ p27(Y)
                      | ~ p28(Y) )
                    & ( p28(Y)
                      | p27(Y) )
                    & ( ~ p28(Y)
                      | ~ p29(Y) )
                    & ( p29(Y)
                      | p28(Y) )
                    & r1(X,Y) )
                & ? [Y] :
                    ( ~ p30(Y)
                    & r1(X,Y) )
                & ! [Y] :
                    ( ( ( ~ p1(Y)
                        | p2(Y) )
                      & ( p1(Y)
                        | ~ p2(Y) ) )
                    | ~ r1(X,Y) )
                & ? [Y] :
                    ( ! [X] :
                        ( ( ( ~ p2(X)
                            | p3(X) )
                          & ( p2(X)
                            | ~ p3(X) ) )
                        | ~ r1(Y,X) )
                    & ? [X] :
                        ( ! [Y] :
                            ( ( ( ~ p3(Y)
                                | p4(Y) )
                              & ( p3(Y)
                                | ~ p4(Y) ) )
                            | ~ r1(X,Y) )
                        & ? [Y] :
                            ( ! [X] :
                                ( ( ( ~ p4(X)
                                    | p5(X) )
                                  & ( p4(X)
                                    | ~ p5(X) ) )
                                | ~ r1(Y,X) )
                            & ? [X] :
                                ( ! [Y] :
                                    ( ( ( ~ p5(Y)
                                        | p6(Y) )
                                      & ( p5(Y)
                                        | ~ p6(Y) ) )
                                    | ~ r1(X,Y) )
                                & ? [Y] :
                                    ( ! [X] :
                                        ( ( ( ~ p6(X)
                                            | p7(X) )
                                          & ( p6(X)
                                            | ~ p7(X) ) )
                                        | ~ r1(Y,X) )
                                    & ? [X] :
                                        ( ! [Y] :
                                            ( ( ( ~ p7(Y)
                                                | p8(Y) )
                                              & ( p7(Y)
                                                | ~ p8(Y) ) )
                                            | ~ r1(X,Y) )
                                        & ? [Y] :
                                            ( ! [X] :
                                                ( ( ( ~ p8(X)
                                                    | p9(X) )
                                                  & ( p8(X)
                                                    | ~ p9(X) ) )
                                                | ~ r1(Y,X) )
                                            & ? [X] :
                                                ( ! [Y] :
                                                    ( ( ( ~ p9(Y)
                                                        | p10(Y) )
                                                      & ( p9(Y)
                                                        | ~ p10(Y) ) )
                                                    | ~ r1(X,Y) )
                                                & ? [Y] :
                                                    ( ! [X] :
                                                        ( ( ( ~ p10(X)
                                                            | p11(X) )
                                                          & ( p10(X)
                                                            | ~ p11(X) ) )
                                                        | ~ r1(Y,X) )
                                                    & ? [X] :
                                                        ( ! [Y] :
                                                            ( ( ( ~ p11(Y)
                                                                | p12(Y) )
                                                              & ( p11(Y)
                                                                | ~ p12(Y) ) )
                                                            | ~ r1(X,Y) )
                                                        & ? [Y] :
                                                            ( ! [X] :
                                                                ( ( ( ~ p12(X)
                                                                    | p13(X) )
                                                                  & ( p12(X)
                                                                    | ~ p13(X) ) )
                                                                | ~ r1(Y,X) )
                                                            & ? [X] :
                                                                ( ! [Y] :
                                                                    ( ( ( ~ p13(Y)
                                                                        | p14(Y) )
                                                                      & ( p13(Y)
                                                                        | ~ p14(Y) ) )
                                                                    | ~ r1(X,Y) )
                                                                & ? [Y] :
                                                                    ( ! [X] :
                                                                        ( ( ( ~ p14(X)
                                                                            | p15(X) )
                                                                          & ( p14(X)
                                                                            | ~ p15(X) ) )
                                                                        | ~ r1(Y,X) )
                                                                    & ? [X] :
                                                                        ( ! [Y] :
                                                                            ( ( ( ~ p15(Y)
                                                                                | p16(Y) )
                                                                              & ( p15(Y)
                                                                                | ~ p16(Y) ) )
                                                                            | ~ r1(X,Y) )
                                                                        & ? [Y] :
                                                                            ( ! [X] :
                                                                                ( ( ( ~ p16(X)
                                                                                    | p17(X) )
                                                                                  & ( p16(X)
                                                                                    | ~ p17(X) ) )
                                                                                | ~ r1(Y,X) )
                                                                            & ? [X] :
                                                                                ( ! [Y] :
                                                                                    ( ( ( ~ p17(Y)
                                                                                        | p18(Y) )
                                                                                      & ( p17(Y)
                                                                                        | ~ p18(Y) ) )
                                                                                    | ~ r1(X,Y) )
                                                                                & ? [Y] :
                                                                                    ( ! [X] :
                                                                                        ( ( ( ~ p18(X)
                                                                                            | p19(X) )
                                                                                          & ( p18(X)
                                                                                            | ~ p19(X) ) )
                                                                                        | ~ r1(Y,X) )
                                                                                    & ? [X] :
                                                                                        ( ! [Y] :
                                                                                            ( ( ( ~ p19(Y)
                                                                                                | p20(Y) )
                                                                                              & ( p19(Y)
                                                                                                | ~ p20(Y) ) )
                                                                                            | ~ r1(X,Y) )
                                                                                        & ? [Y] :
                                                                                            ( ! [X] :
                                                                                                ( ( ( ~ p20(X)
                                                                                                    | p21(X) )
                                                                                                  & ( p20(X)
                                                                                                    | ~ p21(X) ) )
                                                                                                | ~ r1(Y,X) )
                                                                                            & ? [X] :
                                                                                                ( ! [Y] :
                                                                                                    ( ( ( ~ p21(Y)
                                                                                                        | p22(Y) )
                                                                                                      & ( p21(Y)
                                                                                                        | ~ p22(Y) ) )
                                                                                                    | ~ r1(X,Y) )
                                                                                                & ? [Y] :
                                                                                                    ( ! [X] :
                                                                                                        ( ( ( ~ p22(X)
                                                                                                            | p23(X) )
                                                                                                          & ( p22(X)
                                                                                                            | ~ p23(X) ) )
                                                                                                        | ~ r1(Y,X) )
                                                                                                    & ? [X] :
                                                                                                        ( ! [Y] :
                                                                                                            ( ( ( ~ p23(Y)
                                                                                                                | p24(Y) )
                                                                                                              & ( p23(Y)
                                                                                                                | ~ p24(Y) ) )
                                                                                                            | ~ r1(X,Y) )
                                                                                                        & ? [Y] :
                                                                                                            ( ! [X] :
                                                                                                                ( ( ( ~ p24(X)
                                                                                                                    | p25(X) )
                                                                                                                  & ( p24(X)
                                                                                                                    | ~ p25(X) ) )
                                                                                                                | ~ r1(Y,X) )
                                                                                                            & ? [X] :
                                                                                                                ( ! [Y] :
                                                                                                                    ( ( ( ~ p25(Y)
                                                                                                                        | p26(Y) )
                                                                                                                      & ( p25(Y)
                                                                                                                        | ~ p26(Y) ) )
                                                                                                                    | ~ r1(X,Y) )
                                                                                                                & ? [Y] :
                                                                                                                    ( ! [X] :
                                                                                                                        ( ( ( ~ p26(X)
                                                                                                                            | p27(X) )
                                                                                                                          & ( p26(X)
                                                                                                                            | ~ p27(X) ) )
                                                                                                                        | ~ r1(Y,X) )
                                                                                                                    & ? [X] :
                                                                                                                        ( ! [Y] :
                                                                                                                            ( ( ( ~ p27(Y)
                                                                                                                                | p28(Y) )
                                                                                                                              & ( p27(Y)
                                                                                                                                | ~ p28(Y) ) )
                                                                                                                            | ~ r1(X,Y) )
                                                                                                                        & ? [Y] :
                                                                                                                            ( ! [X] :
                                                                                                                                ( ( ( ~ p28(X)
                                                                                                                                    | p29(X) )
                                                                                                                                  & ( p28(X)
                                                                                                                                    | ~ p29(X) ) )
                                                                                                                                | ~ r1(Y,X) )
                                                                                                                            & $true
                                                                                                                            & ? [X] : r1(Y,X)
                                                                                                                            & r1(X,Y) )
                                                                                                                        & r1(Y,X) )
                                                                                                                    & r1(X,Y) )
                                                                                                                & r1(Y,X) )
                                                                                                            & r1(X,Y) )
                                                                                                        & r1(Y,X) )
                                                                                                    & r1(X,Y) )
                                                                                                & r1(Y,X) )
                                                                                            & r1(X,Y) )
                                                                                        & r1(Y,X) )
                                                                                    & r1(X,Y) )
                                                                                & r1(Y,X) )
                                                                            & r1(X,Y) )
                                                                        & r1(Y,X) )
                                                                    & r1(X,Y) )
                                                                & r1(Y,X) )
                                                            & r1(X,Y) )
                                                        & r1(Y,X) )
                                                    & r1(X,Y) )
                                                & r1(Y,X) )
                                            & r1(X,Y) )
                                        & r1(Y,X) )
                                    & r1(X,Y) )
                                & r1(Y,X) )
                            & r1(X,Y) )
                        & r1(Y,X) )
                    & r1(X,Y) ) )
              | ~ r1(Y,X) )
          & r1(X,Y) )
      & ? [Y] :
          ( ? [X] :
              ( p1(X)
              & r1(Y,X) )
          & p30(Y)
          & r1(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f9]) ).

fof(f11,plain,
    ( ! [X] :
        ( ( ( ~ p1(sK33_skl(X))
            | ~ p2(sK33_skl(X)) )
          & ( p2(sK33_skl(X))
            | p1(sK33_skl(X)) )
          & ( ~ p2(sK33_skl(X))
            | ~ p3(sK33_skl(X)) )
          & ( p3(sK33_skl(X))
            | p2(sK33_skl(X)) )
          & ( ~ p3(sK33_skl(X))
            | ~ p4(sK33_skl(X)) )
          & ( p4(sK33_skl(X))
            | p3(sK33_skl(X)) )
          & ( ~ p4(sK33_skl(X))
            | ~ p5(sK33_skl(X)) )
          & ( p5(sK33_skl(X))
            | p4(sK33_skl(X)) )
          & ( ~ p5(sK33_skl(X))
            | ~ p6(sK33_skl(X)) )
          & ( p6(sK33_skl(X))
            | p5(sK33_skl(X)) )
          & ( ~ p6(sK33_skl(X))
            | ~ p7(sK33_skl(X)) )
          & ( p7(sK33_skl(X))
            | p6(sK33_skl(X)) )
          & ( ~ p7(sK33_skl(X))
            | ~ p8(sK33_skl(X)) )
          & ( p8(sK33_skl(X))
            | p7(sK33_skl(X)) )
          & ( ~ p8(sK33_skl(X))
            | ~ p9(sK33_skl(X)) )
          & ( p9(sK33_skl(X))
            | p8(sK33_skl(X)) )
          & ( ~ p9(sK33_skl(X))
            | ~ p10(sK33_skl(X)) )
          & ( p10(sK33_skl(X))
            | p9(sK33_skl(X)) )
          & ( ~ p10(sK33_skl(X))
            | ~ p11(sK33_skl(X)) )
          & ( p11(sK33_skl(X))
            | p10(sK33_skl(X)) )
          & ( ~ p11(sK33_skl(X))
            | ~ p12(sK33_skl(X)) )
          & ( p12(sK33_skl(X))
            | p11(sK33_skl(X)) )
          & ( ~ p12(sK33_skl(X))
            | ~ p13(sK33_skl(X)) )
          & ( p13(sK33_skl(X))
            | p12(sK33_skl(X)) )
          & ( ~ p13(sK33_skl(X))
            | ~ p14(sK33_skl(X)) )
          & ( p14(sK33_skl(X))
            | p13(sK33_skl(X)) )
          & ( ~ p14(sK33_skl(X))
            | ~ p15(sK33_skl(X)) )
          & ( p15(sK33_skl(X))
            | p14(sK33_skl(X)) )
          & ( ~ p15(sK33_skl(X))
            | ~ p16(sK33_skl(X)) )
          & ( p16(sK33_skl(X))
            | p15(sK33_skl(X)) )
          & ( ~ p16(sK33_skl(X))
            | ~ p17(sK33_skl(X)) )
          & ( p17(sK33_skl(X))
            | p16(sK33_skl(X)) )
          & ( ~ p17(sK33_skl(X))
            | ~ p18(sK33_skl(X)) )
          & ( p18(sK33_skl(X))
            | p17(sK33_skl(X)) )
          & ( ~ p18(sK33_skl(X))
            | ~ p19(sK33_skl(X)) )
          & ( p19(sK33_skl(X))
            | p18(sK33_skl(X)) )
          & ( ~ p19(sK33_skl(X))
            | ~ p20(sK33_skl(X)) )
          & ( p20(sK33_skl(X))
            | p19(sK33_skl(X)) )
          & ( ~ p20(sK33_skl(X))
            | ~ p21(sK33_skl(X)) )
          & ( p21(sK33_skl(X))
            | p20(sK33_skl(X)) )
          & ( ~ p21(sK33_skl(X))
            | ~ p22(sK33_skl(X)) )
          & ( p22(sK33_skl(X))
            | p21(sK33_skl(X)) )
          & ( ~ p22(sK33_skl(X))
            | ~ p23(sK33_skl(X)) )
          & ( p23(sK33_skl(X))
            | p22(sK33_skl(X)) )
          & ( ~ p23(sK33_skl(X))
            | ~ p24(sK33_skl(X)) )
          & ( p24(sK33_skl(X))
            | p23(sK33_skl(X)) )
          & ( ~ p24(sK33_skl(X))
            | ~ p25(sK33_skl(X)) )
          & ( p25(sK33_skl(X))
            | p24(sK33_skl(X)) )
          & ( ~ p25(sK33_skl(X))
            | ~ p26(sK33_skl(X)) )
          & ( p26(sK33_skl(X))
            | p25(sK33_skl(X)) )
          & ( ~ p26(sK33_skl(X))
            | ~ p27(sK33_skl(X)) )
          & ( p27(sK33_skl(X))
            | p26(sK33_skl(X)) )
          & ( ~ p27(sK33_skl(X))
            | ~ p28(sK33_skl(X)) )
          & ( p28(sK33_skl(X))
            | p27(sK33_skl(X)) )
          & ( ~ p28(sK33_skl(X))
            | ~ p29(sK33_skl(X)) )
          & ( p29(sK33_skl(X))
            | p28(sK33_skl(X)) )
          & r1(X,sK33_skl(X))
          & ~ p30(sK32_skl(X))
          & r1(X,sK32_skl(X))
          & ! [Y] :
              ( ( ( ~ p1(Y)
                  | p2(Y) )
                & ( p1(Y)
                  | ~ p2(Y) ) )
              | ~ r1(X,Y) )
          & ! [X] :
              ( ( ( ~ p2(X)
                  | p3(X) )
                & ( p2(X)
                  | ~ p3(X) ) )
              | ~ r1(sK4_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p3(Y)
                  | p4(Y) )
                & ( p3(Y)
                  | ~ p4(Y) ) )
              | ~ r1(sK5_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p4(X)
                  | p5(X) )
                & ( p4(X)
                  | ~ p5(X) ) )
              | ~ r1(sK6_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p5(Y)
                  | p6(Y) )
                & ( p5(Y)
                  | ~ p6(Y) ) )
              | ~ r1(sK7_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p6(X)
                  | p7(X) )
                & ( p6(X)
                  | ~ p7(X) ) )
              | ~ r1(sK8_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p7(Y)
                  | p8(Y) )
                & ( p7(Y)
                  | ~ p8(Y) ) )
              | ~ r1(sK9_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p8(X)
                  | p9(X) )
                & ( p8(X)
                  | ~ p9(X) ) )
              | ~ r1(sK10_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p9(Y)
                  | p10(Y) )
                & ( p9(Y)
                  | ~ p10(Y) ) )
              | ~ r1(sK11_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p10(X)
                  | p11(X) )
                & ( p10(X)
                  | ~ p11(X) ) )
              | ~ r1(sK12_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p11(Y)
                  | p12(Y) )
                & ( p11(Y)
                  | ~ p12(Y) ) )
              | ~ r1(sK13_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p12(X)
                  | p13(X) )
                & ( p12(X)
                  | ~ p13(X) ) )
              | ~ r1(sK14_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p13(Y)
                  | p14(Y) )
                & ( p13(Y)
                  | ~ p14(Y) ) )
              | ~ r1(sK15_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p14(X)
                  | p15(X) )
                & ( p14(X)
                  | ~ p15(X) ) )
              | ~ r1(sK16_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p15(Y)
                  | p16(Y) )
                & ( p15(Y)
                  | ~ p16(Y) ) )
              | ~ r1(sK17_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p16(X)
                  | p17(X) )
                & ( p16(X)
                  | ~ p17(X) ) )
              | ~ r1(sK18_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p17(Y)
                  | p18(Y) )
                & ( p17(Y)
                  | ~ p18(Y) ) )
              | ~ r1(sK19_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p18(X)
                  | p19(X) )
                & ( p18(X)
                  | ~ p19(X) ) )
              | ~ r1(sK20_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p19(Y)
                  | p20(Y) )
                & ( p19(Y)
                  | ~ p20(Y) ) )
              | ~ r1(sK21_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p20(X)
                  | p21(X) )
                & ( p20(X)
                  | ~ p21(X) ) )
              | ~ r1(sK22_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p21(Y)
                  | p22(Y) )
                & ( p21(Y)
                  | ~ p22(Y) ) )
              | ~ r1(sK23_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p22(X)
                  | p23(X) )
                & ( p22(X)
                  | ~ p23(X) ) )
              | ~ r1(sK24_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p23(Y)
                  | p24(Y) )
                & ( p23(Y)
                  | ~ p24(Y) ) )
              | ~ r1(sK25_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p24(X)
                  | p25(X) )
                & ( p24(X)
                  | ~ p25(X) ) )
              | ~ r1(sK26_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p25(Y)
                  | p26(Y) )
                & ( p25(Y)
                  | ~ p26(Y) ) )
              | ~ r1(sK27_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p26(X)
                  | p27(X) )
                & ( p26(X)
                  | ~ p27(X) ) )
              | ~ r1(sK28_skl(X),X) )
          & ! [Y] :
              ( ( ( ~ p27(Y)
                  | p28(Y) )
                & ( p27(Y)
                  | ~ p28(Y) ) )
              | ~ r1(sK29_skl(X),Y) )
          & ! [X] :
              ( ( ( ~ p28(X)
                  | p29(X) )
                & ( p28(X)
                  | ~ p29(X) ) )
              | ~ r1(sK30_skl(X),X) )
          & $true
          & r1(sK30_skl(X),sK31_skl(X))
          & r1(sK29_skl(X),sK30_skl(X))
          & r1(sK28_skl(X),sK29_skl(X))
          & r1(sK27_skl(X),sK28_skl(X))
          & r1(sK26_skl(X),sK27_skl(X))
          & r1(sK25_skl(X),sK26_skl(X))
          & r1(sK24_skl(X),sK25_skl(X))
          & r1(sK23_skl(X),sK24_skl(X))
          & r1(sK22_skl(X),sK23_skl(X))
          & r1(sK21_skl(X),sK22_skl(X))
          & r1(sK20_skl(X),sK21_skl(X))
          & r1(sK19_skl(X),sK20_skl(X))
          & r1(sK18_skl(X),sK19_skl(X))
          & r1(sK17_skl(X),sK18_skl(X))
          & r1(sK16_skl(X),sK17_skl(X))
          & r1(sK15_skl(X),sK16_skl(X))
          & r1(sK14_skl(X),sK15_skl(X))
          & r1(sK13_skl(X),sK14_skl(X))
          & r1(sK12_skl(X),sK13_skl(X))
          & r1(sK11_skl(X),sK12_skl(X))
          & r1(sK10_skl(X),sK11_skl(X))
          & r1(sK9_skl(X),sK10_skl(X))
          & r1(sK8_skl(X),sK9_skl(X))
          & r1(sK7_skl(X),sK8_skl(X))
          & r1(sK6_skl(X),sK7_skl(X))
          & r1(sK5_skl(X),sK6_skl(X))
          & r1(sK4_skl(X),sK5_skl(X))
          & r1(X,sK4_skl(X)) )
        | ~ r1(sK3_skl,X) )
    & r1(sK0_skl,sK3_skl)
    & p1(sK2_skl)
    & r1(sK1_skl,sK2_skl)
    & p30(sK1_skl)
    & r1(sK0_skl,sK1_skl) ),
    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,sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(Y,sK4_skl(X)),skolemize(X,sK5_skl(X)),skolemize(Y,sK6_skl(X)),skolemize(X,sK7_skl(X)),skolemize(Y,sK8_skl(X)),skolemize(X,sK9_skl(X)),skolemize(Y,sK10_skl(X)),skolemize(X,sK11_skl(X)),skolemize(Y,sK12_skl(X)),skolemize(X,sK13_skl(X)),skolemize(Y,sK14_skl(X)),skolemize(X,sK15_skl(X)),skolemize(Y,sK16_skl(X)),skolemize(X,sK17_skl(X)),skolemize(Y,sK18_skl(X)),skolemize(X,sK19_skl(X)),skolemize(Y,sK20_skl(X)),skolemize(X,sK21_skl(X)),skolemize(Y,sK22_skl(X)),skolemize(X,sK23_skl(X)),skolemize(Y,sK24_skl(X)),skolemize(X,sK25_skl(X)),skolemize(Y,sK26_skl(X)),skolemize(X,sK27_skl(X)),skolemize(Y,sK28_skl(X)),skolemize(X,sK29_skl(X)),skolemize(Y,sK30_skl(X)),skolemize(X,sK31_skl(X)),skolemize(Y,sK32_skl(X)),skolemize(Y,sK33_skl(X))],[f10]) ).

fof(f12,plain,
    ? [X] :
      ( ? [Y] :
          ( ! [X] :
              ( ( ? [Y] :
                    ( ( ~ p1(sK33_skl(X))
                      | ~ p2(sK33_skl(X)) )
                    & ( p2(sK33_skl(X))
                      | p1(sK33_skl(X)) )
                    & ( ~ p2(sK33_skl(X))
                      | ~ p3(sK33_skl(X)) )
                    & ( p3(sK33_skl(X))
                      | p2(sK33_skl(X)) )
                    & ( ~ p3(sK33_skl(X))
                      | ~ p4(sK33_skl(X)) )
                    & ( p4(sK33_skl(X))
                      | p3(sK33_skl(X)) )
                    & ( ~ p4(sK33_skl(X))
                      | ~ p5(sK33_skl(X)) )
                    & ( p5(sK33_skl(X))
                      | p4(sK33_skl(X)) )
                    & ( ~ p5(sK33_skl(X))
                      | ~ p6(sK33_skl(X)) )
                    & ( p6(sK33_skl(X))
                      | p5(sK33_skl(X)) )
                    & ( ~ p6(sK33_skl(X))
                      | ~ p7(sK33_skl(X)) )
                    & ( p7(sK33_skl(X))
                      | p6(sK33_skl(X)) )
                    & ( ~ p7(sK33_skl(X))
                      | ~ p8(sK33_skl(X)) )
                    & ( p8(sK33_skl(X))
                      | p7(sK33_skl(X)) )
                    & ( ~ p8(sK33_skl(X))
                      | ~ p9(sK33_skl(X)) )
                    & ( p9(sK33_skl(X))
                      | p8(sK33_skl(X)) )
                    & ( ~ p9(sK33_skl(X))
                      | ~ p10(sK33_skl(X)) )
                    & ( p10(sK33_skl(X))
                      | p9(sK33_skl(X)) )
                    & ( ~ p10(sK33_skl(X))
                      | ~ p11(sK33_skl(X)) )
                    & ( p11(sK33_skl(X))
                      | p10(sK33_skl(X)) )
                    & ( ~ p11(sK33_skl(X))
                      | ~ p12(sK33_skl(X)) )
                    & ( p12(sK33_skl(X))
                      | p11(sK33_skl(X)) )
                    & ( ~ p12(sK33_skl(X))
                      | ~ p13(sK33_skl(X)) )
                    & ( p13(sK33_skl(X))
                      | p12(sK33_skl(X)) )
                    & ( ~ p13(sK33_skl(X))
                      | ~ p14(sK33_skl(X)) )
                    & ( p14(sK33_skl(X))
                      | p13(sK33_skl(X)) )
                    & ( ~ p14(sK33_skl(X))
                      | ~ p15(sK33_skl(X)) )
                    & ( p15(sK33_skl(X))
                      | p14(sK33_skl(X)) )
                    & ( ~ p15(sK33_skl(X))
                      | ~ p16(sK33_skl(X)) )
                    & ( p16(sK33_skl(X))
                      | p15(sK33_skl(X)) )
                    & ( ~ p16(sK33_skl(X))
                      | ~ p17(sK33_skl(X)) )
                    & ( p17(sK33_skl(X))
                      | p16(sK33_skl(X)) )
                    & ( ~ p17(sK33_skl(X))
                      | ~ p18(sK33_skl(X)) )
                    & ( p18(sK33_skl(X))
                      | p17(sK33_skl(X)) )
                    & ( ~ p18(sK33_skl(X))
                      | ~ p19(sK33_skl(X)) )
                    & ( p19(sK33_skl(X))
                      | p18(sK33_skl(X)) )
                    & ( ~ p19(sK33_skl(X))
                      | ~ p20(sK33_skl(X)) )
                    & ( p20(sK33_skl(X))
                      | p19(sK33_skl(X)) )
                    & ( ~ p20(sK33_skl(X))
                      | ~ p21(sK33_skl(X)) )
                    & ( p21(sK33_skl(X))
                      | p20(sK33_skl(X)) )
                    & ( ~ p21(sK33_skl(X))
                      | ~ p22(sK33_skl(X)) )
                    & ( p22(sK33_skl(X))
                      | p21(sK33_skl(X)) )
                    & ( ~ p22(sK33_skl(X))
                      | ~ p23(sK33_skl(X)) )
                    & ( p23(sK33_skl(X))
                      | p22(sK33_skl(X)) )
                    & ( ~ p23(sK33_skl(X))
                      | ~ p24(sK33_skl(X)) )
                    & ( p24(sK33_skl(X))
                      | p23(sK33_skl(X)) )
                    & ( ~ p24(sK33_skl(X))
                      | ~ p25(sK33_skl(X)) )
                    & ( p25(sK33_skl(X))
                      | p24(sK33_skl(X)) )
                    & ( ~ p25(sK33_skl(X))
                      | ~ p26(sK33_skl(X)) )
                    & ( p26(sK33_skl(X))
                      | p25(sK33_skl(X)) )
                    & ( ~ p26(sK33_skl(X))
                      | ~ p27(sK33_skl(X)) )
                    & ( p27(sK33_skl(X))
                      | p26(sK33_skl(X)) )
                    & ( ~ p27(sK33_skl(X))
                      | ~ p28(sK33_skl(X)) )
                    & ( p28(sK33_skl(X))
                      | p27(sK33_skl(X)) )
                    & ( ~ p28(sK33_skl(X))
                      | ~ p29(sK33_skl(X)) )
                    & ( p29(sK33_skl(X))
                      | p28(sK33_skl(X)) )
                    & r1(X,sK33_skl(X)) )
                & ? [Y] :
                    ( ~ p30(sK32_skl(X))
                    & r1(X,sK32_skl(X)) )
                & ! [Y] :
                    ( ( ( ~ p1(Y)
                        | p2(Y) )
                      & ( p1(Y)
                        | ~ p2(Y) ) )
                    | ~ r1(X,Y) )
                & ? [Y] :
                    ( ! [X] :
                        ( ( ( ~ p2(X)
                            | p3(X) )
                          & ( p2(X)
                            | ~ p3(X) ) )
                        | ~ r1(sK4_skl(X),X) )
                    & ? [X] :
                        ( ! [Y] :
                            ( ( ( ~ p3(Y)
                                | p4(Y) )
                              & ( p3(Y)
                                | ~ p4(Y) ) )
                            | ~ r1(sK5_skl(X),Y) )
                        & ? [Y] :
                            ( ! [X] :
                                ( ( ( ~ p4(X)
                                    | p5(X) )
                                  & ( p4(X)
                                    | ~ p5(X) ) )
                                | ~ r1(sK6_skl(X),X) )
                            & ? [X] :
                                ( ! [Y] :
                                    ( ( ( ~ p5(Y)
                                        | p6(Y) )
                                      & ( p5(Y)
                                        | ~ p6(Y) ) )
                                    | ~ r1(sK7_skl(X),Y) )
                                & ? [Y] :
                                    ( ! [X] :
                                        ( ( ( ~ p6(X)
                                            | p7(X) )
                                          & ( p6(X)
                                            | ~ p7(X) ) )
                                        | ~ r1(sK8_skl(X),X) )
                                    & ? [X] :
                                        ( ! [Y] :
                                            ( ( ( ~ p7(Y)
                                                | p8(Y) )
                                              & ( p7(Y)
                                                | ~ p8(Y) ) )
                                            | ~ r1(sK9_skl(X),Y) )
                                        & ? [Y] :
                                            ( ! [X] :
                                                ( ( ( ~ p8(X)
                                                    | p9(X) )
                                                  & ( p8(X)
                                                    | ~ p9(X) ) )
                                                | ~ r1(sK10_skl(X),X) )
                                            & ? [X] :
                                                ( ! [Y] :
                                                    ( ( ( ~ p9(Y)
                                                        | p10(Y) )
                                                      & ( p9(Y)
                                                        | ~ p10(Y) ) )
                                                    | ~ r1(sK11_skl(X),Y) )
                                                & ? [Y] :
                                                    ( ! [X] :
                                                        ( ( ( ~ p10(X)
                                                            | p11(X) )
                                                          & ( p10(X)
                                                            | ~ p11(X) ) )
                                                        | ~ r1(sK12_skl(X),X) )
                                                    & ? [X] :
                                                        ( ! [Y] :
                                                            ( ( ( ~ p11(Y)
                                                                | p12(Y) )
                                                              & ( p11(Y)
                                                                | ~ p12(Y) ) )
                                                            | ~ r1(sK13_skl(X),Y) )
                                                        & ? [Y] :
                                                            ( ! [X] :
                                                                ( ( ( ~ p12(X)
                                                                    | p13(X) )
                                                                  & ( p12(X)
                                                                    | ~ p13(X) ) )
                                                                | ~ r1(sK14_skl(X),X) )
                                                            & ? [X] :
                                                                ( ! [Y] :
                                                                    ( ( ( ~ p13(Y)
                                                                        | p14(Y) )
                                                                      & ( p13(Y)
                                                                        | ~ p14(Y) ) )
                                                                    | ~ r1(sK15_skl(X),Y) )
                                                                & ? [Y] :
                                                                    ( ! [X] :
                                                                        ( ( ( ~ p14(X)
                                                                            | p15(X) )
                                                                          & ( p14(X)
                                                                            | ~ p15(X) ) )
                                                                        | ~ r1(sK16_skl(X),X) )
                                                                    & ? [X] :
                                                                        ( ! [Y] :
                                                                            ( ( ( ~ p15(Y)
                                                                                | p16(Y) )
                                                                              & ( p15(Y)
                                                                                | ~ p16(Y) ) )
                                                                            | ~ r1(sK17_skl(X),Y) )
                                                                        & ? [Y] :
                                                                            ( ! [X] :
                                                                                ( ( ( ~ p16(X)
                                                                                    | p17(X) )
                                                                                  & ( p16(X)
                                                                                    | ~ p17(X) ) )
                                                                                | ~ r1(sK18_skl(X),X) )
                                                                            & ? [X] :
                                                                                ( ! [Y] :
                                                                                    ( ( ( ~ p17(Y)
                                                                                        | p18(Y) )
                                                                                      & ( p17(Y)
                                                                                        | ~ p18(Y) ) )
                                                                                    | ~ r1(sK19_skl(X),Y) )
                                                                                & ? [Y] :
                                                                                    ( ! [X] :
                                                                                        ( ( ( ~ p18(X)
                                                                                            | p19(X) )
                                                                                          & ( p18(X)
                                                                                            | ~ p19(X) ) )
                                                                                        | ~ r1(sK20_skl(X),X) )
                                                                                    & ? [X] :
                                                                                        ( ! [Y] :
                                                                                            ( ( ( ~ p19(Y)
                                                                                                | p20(Y) )
                                                                                              & ( p19(Y)
                                                                                                | ~ p20(Y) ) )
                                                                                            | ~ r1(sK21_skl(X),Y) )
                                                                                        & ? [Y] :
                                                                                            ( ! [X] :
                                                                                                ( ( ( ~ p20(X)
                                                                                                    | p21(X) )
                                                                                                  & ( p20(X)
                                                                                                    | ~ p21(X) ) )
                                                                                                | ~ r1(sK22_skl(X),X) )
                                                                                            & ? [X] :
                                                                                                ( ! [Y] :
                                                                                                    ( ( ( ~ p21(Y)
                                                                                                        | p22(Y) )
                                                                                                      & ( p21(Y)
                                                                                                        | ~ p22(Y) ) )
                                                                                                    | ~ r1(sK23_skl(X),Y) )
                                                                                                & ? [Y] :
                                                                                                    ( ! [X] :
                                                                                                        ( ( ( ~ p22(X)
                                                                                                            | p23(X) )
                                                                                                          & ( p22(X)
                                                                                                            | ~ p23(X) ) )
                                                                                                        | ~ r1(sK24_skl(X),X) )
                                                                                                    & ? [X] :
                                                                                                        ( ! [Y] :
                                                                                                            ( ( ( ~ p23(Y)
                                                                                                                | p24(Y) )
                                                                                                              & ( p23(Y)
                                                                                                                | ~ p24(Y) ) )
                                                                                                            | ~ r1(sK25_skl(X),Y) )
                                                                                                        & ? [Y] :
                                                                                                            ( ! [X] :
                                                                                                                ( ( ( ~ p24(X)
                                                                                                                    | p25(X) )
                                                                                                                  & ( p24(X)
                                                                                                                    | ~ p25(X) ) )
                                                                                                                | ~ r1(sK26_skl(X),X) )
                                                                                                            & ? [X] :
                                                                                                                ( ! [Y] :
                                                                                                                    ( ( ( ~ p25(Y)
                                                                                                                        | p26(Y) )
                                                                                                                      & ( p25(Y)
                                                                                                                        | ~ p26(Y) ) )
                                                                                                                    | ~ r1(sK27_skl(X),Y) )
                                                                                                                & ? [Y] :
                                                                                                                    ( ! [X] :
                                                                                                                        ( ( ( ~ p26(X)
                                                                                                                            | p27(X) )
                                                                                                                          & ( p26(X)
                                                                                                                            | ~ p27(X) ) )
                                                                                                                        | ~ r1(sK28_skl(X),X) )
                                                                                                                    & ? [X] :
                                                                                                                        ( ! [Y] :
                                                                                                                            ( ( ( ~ p27(Y)
                                                                                                                                | p28(Y) )
                                                                                                                              & ( p27(Y)
                                                                                                                                | ~ p28(Y) ) )
                                                                                                                            | ~ r1(sK29_skl(X),Y) )
                                                                                                                        & ? [Y] :
                                                                                                                            ( ! [X] :
                                                                                                                                ( ( ( ~ p28(X)
                                                                                                                                    | p29(X) )
                                                                                                                                  & ( p28(X)
                                                                                                                                    | ~ p29(X) ) )
                                                                                                                                | ~ r1(sK30_skl(X),X) )
                                                                                                                            & ? [X] : r1(sK30_skl(X),sK31_skl(X))
                                                                                                                            & r1(sK29_skl(X),sK30_skl(X)) )
                                                                                                                        & r1(sK28_skl(X),sK29_skl(X)) )
                                                                                                                    & r1(sK27_skl(X),sK28_skl(X)) )
                                                                                                                & r1(sK26_skl(X),sK27_skl(X)) )
                                                                                                            & r1(sK25_skl(X),sK26_skl(X)) )
                                                                                                        & r1(sK24_skl(X),sK25_skl(X)) )
                                                                                                    & r1(sK23_skl(X),sK24_skl(X)) )
                                                                                                & r1(sK22_skl(X),sK23_skl(X)) )
                                                                                            & r1(sK21_skl(X),sK22_skl(X)) )
                                                                                        & r1(sK20_skl(X),sK21_skl(X)) )
                                                                                    & r1(sK19_skl(X),sK20_skl(X)) )
                                                                                & r1(sK18_skl(X),sK19_skl(X)) )
                                                                            & r1(sK17_skl(X),sK18_skl(X)) )
                                                                        & r1(sK16_skl(X),sK17_skl(X)) )
                                                                    & r1(sK15_skl(X),sK16_skl(X)) )
                                                                & r1(sK14_skl(X),sK15_skl(X)) )
                                                            & r1(sK13_skl(X),sK14_skl(X)) )
                                                        & r1(sK12_skl(X),sK13_skl(X)) )
                                                    & r1(sK11_skl(X),sK12_skl(X)) )
                                                & r1(sK10_skl(X),sK11_skl(X)) )
                                            & r1(sK9_skl(X),sK10_skl(X)) )
                                        & r1(sK8_skl(X),sK9_skl(X)) )
                                    & r1(sK7_skl(X),sK8_skl(X)) )
                                & r1(sK6_skl(X),sK7_skl(X)) )
                            & r1(sK5_skl(X),sK6_skl(X)) )
                        & r1(sK4_skl(X),sK5_skl(X)) )
                    & r1(X,sK4_skl(X)) ) )
              | ~ r1(sK3_skl,X) )
          & r1(sK0_skl,sK3_skl) )
      & ? [Y] :
          ( ? [X] :
              ( p1(sK2_skl)
              & r1(sK1_skl,sK2_skl) )
          & p30(sK1_skl)
          & r1(sK0_skl,sK1_skl) ) ),
    inference(true_and_false_simplification,[status(thm)],[f11]) ).

fof(f18,plain,
    ! [X0] :
      ( r1(X0,sK4_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f19,plain,
    ! [X0] :
      ( r1(sK4_skl(X0),sK5_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ p3(X1)
      | p4(X1)
      | ~ r1(sK5_skl(X0),X1)
      | ~ r1(sK3_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( p1(X1)
      | ~ p2(X1)
      | ~ r1(X0,X1)
      | ~ r1(sK3_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f104,plain,
    ! [X0] :
      ( r1(X0,sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ p3(sK33_skl(X0))
      | ~ p4(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f157,plain,
    ! [X0] :
      ( p3(sK33_skl(X0))
      | p2(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ p1(sK33_skl(X0))
      | ~ p2(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f161,plain,
    r1(sK3_skl,sK4_skl(sK3_skl)),
    inference(resolution,[status(thm)],[f5,f18]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ p2(sK33_skl(X0))
      | ~ r1(X1,sK33_skl(X0))
      | ~ r1(sK3_skl,X1)
      | ~ p2(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f160,f100]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ r1(X1,sK33_skl(X0))
      | ~ r1(sK3_skl,X1)
      | ~ p2(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f195]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ r1(sK3_skl,X0)
      | ~ r1(sK3_skl,X0)
      | ~ p2(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f196,f104]) ).

fof(f517,plain,
    ! [X0] :
      ( ~ p2(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f514]) ).

fof(f538,plain,
    ! [X0] :
      ( p3(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f157,f517]) ).

fof(f541,plain,
    ! [X0] :
      ( ~ p4(sK33_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f156,f538]) ).

fof(f543,plain,
    ! [X0,X1] :
      ( ~ p3(sK33_skl(X0))
      | ~ r1(sK5_skl(X1),sK33_skl(X0))
      | ~ r1(sK3_skl,X1)
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f541,f97]) ).

fof(f545,plain,
    ! [X0,X1] :
      ( ~ r1(sK5_skl(X1),sK33_skl(X0))
      | ~ r1(sK3_skl,X1)
      | ~ r1(sK3_skl,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f543,f538]) ).

fof(f608,plain,
    ! [X0] :
      ( ~ r1(sK3_skl,sK5_skl(X0))
      | ~ r1(sK3_skl,X0)
      | ~ r1(sK3_skl,sK5_skl(X0)) ),
    inference(resolution,[status(thm)],[f545,f104]) ).

fof(f610,plain,
    ! [X0] :
      ( ~ r1(sK3_skl,X0)
      | ~ r1(sK3_skl,sK5_skl(X0)) ),
    inference(duplicate_literals_removal,[status(thm)],[f608]) ).

fof(f611,plain,
    ! [X0,X1] :
      ( ~ r1(X1,sK5_skl(X0))
      | ~ r1(sK3_skl,X1)
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f610,f8]) ).

fof(f612,plain,
    ! [X0] :
      ( ~ r1(sK3_skl,X0)
      | ~ r1(sK3_skl,sK4_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(resolution,[status(thm)],[f611,f19]) ).

fof(f615,plain,
    ! [X0] :
      ( ~ r1(sK3_skl,sK4_skl(X0))
      | ~ r1(sK3_skl,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f612]) ).

fof(f616,plain,
    ~ r1(sK3_skl,sK3_skl),
    inference(resolution,[status(thm)],[f615,f161]) ).

fof(f619,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f616,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43  % Computer : n017.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Mon Sep 21 00:52:56 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.45  % Drodi V4.1.1
% 0.16/0.56  % Refutation found
% 0.16/0.56  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.59  % Elapsed time: 0.151669 seconds
% 0.16/0.59  % CPU time: 0.837040 seconds
% 0.16/0.59  % Total memory used: 28.759 MB
% 0.16/0.59  % Net memory used: 28.144 MB
%------------------------------------------------------------------------------