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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 : Tue Sep 29 11:53:46 AM UTC 2026

% Result   : Theorem 0.36s 1.02s
% Output   : Refutation 3.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   37 (   3 unt;  25 def)
%            Number of atoms       : 1788 (   0 equ)
%            Maximal formula atoms :  225 (  48 avg)
%            Number of connectives : 2685 ( 934   ~;1008   |; 743   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (  13 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   33 (  32 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-1 aty)
%            Number of variables   :  622 ( 491   !; 131   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( p6(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p6(X0) ) )
                  | p5(X1) )
              | ! [X1] :
                  ( ~ r1(X0,X1)
                  | p6(X1)
                  | ~ ( p5(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p5(X0) )
                      & p5(X1) ) )
              | ~ ( ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ( p6(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p6(X1) ) )
                          | p5(X0) )
                      | p6(X1)
                      | ~ ( p5(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p5(X0) )
                          & p5(X1) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p6(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p6(X0) ) )
                      | p5(X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | p6(X0)
                          | ~ ( p5(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p5(X1) )
                              & p5(X0) ) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p6(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p6(X0) ) )
                      | p5(X1)
                      | p6(X1)
                      | ~ ( p5(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p5(X0) )
                          & p5(X1) ) ) ) )
          | ~ ( ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( p5(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p5(X0) ) )
                  | p4(X1) )
              | ! [X1] :
                  ( ~ r1(X0,X1)
                  | p5(X1)
                  | ~ ( p4(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p4(X0) )
                      & p4(X1) ) )
              | ~ ( ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ( p5(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p5(X1) ) )
                          | p4(X0) )
                      | p5(X1)
                      | ~ ( p4(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p4(X0) )
                          & p4(X1) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p5(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p5(X0) ) )
                      | p4(X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | p5(X0)
                          | ~ ( p4(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p4(X1) )
                              & p4(X0) ) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p5(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p5(X0) ) )
                      | p4(X1)
                      | p5(X1)
                      | ~ ( p4(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p4(X0) )
                          & p4(X1) ) ) ) )
          | ~ ( ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( p4(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p4(X0) ) )
                  | p3(X1) )
              | ! [X1] :
                  ( ~ r1(X0,X1)
                  | p4(X1)
                  | ~ ( p3(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p3(X0) )
                      & p3(X1) ) )
              | ~ ( ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ( p4(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p4(X1) ) )
                          | p3(X0) )
                      | p4(X1)
                      | ~ ( p3(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p3(X0) )
                          & p3(X1) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p4(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p4(X0) ) )
                      | p3(X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | p4(X0)
                          | ~ ( p3(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p3(X1) )
                              & p3(X0) ) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p4(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p4(X0) ) )
                      | p3(X1)
                      | p4(X1)
                      | ~ ( p3(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p3(X0) )
                          & p3(X1) ) ) ) )
          | ~ ( ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( p3(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p3(X0) ) )
                  | p2(X1) )
              | ! [X1] :
                  ( ~ r1(X0,X1)
                  | p3(X1)
                  | ~ ( p2(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p2(X0) )
                      & p2(X1) ) )
              | ~ ( ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ( p3(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p3(X1) ) )
                          | p2(X0) )
                      | p3(X1)
                      | ~ ( p2(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p2(X0) )
                          & p2(X1) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p3(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p3(X0) ) )
                      | p2(X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | p3(X0)
                          | ~ ( p2(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p2(X1) )
                              & p2(X0) ) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p3(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p3(X0) ) )
                      | p2(X1)
                      | p3(X1)
                      | ~ ( p2(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p2(X0) )
                          & p2(X1) ) ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | p5(X1)
              | ~ ( ! [X0] :
                      ( ~ r1(X1,X0)
                      | p5(X0) )
                  & p5(X1) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | p5(X1)
              | ~ ( ! [X0] :
                      ( ~ r1(X1,X0)
                      | p5(X0) )
                  & p5(X1) ) )
          | ~ ( ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( p2(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p2(X0) ) )
                  | p1(X1) )
              | ! [X1] :
                  ( ~ r1(X0,X1)
                  | p2(X1)
                  | ~ ( p1(X1)
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p1(X0) )
                      & p1(X1) ) )
              | ~ ( ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ( p2(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p2(X1) ) )
                          | p1(X0) )
                      | p2(X1)
                      | ~ ( p1(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p1(X0) )
                          & p1(X1) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p2(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p2(X0) ) )
                      | p1(X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | p2(X0)
                          | ~ ( p1(X0)
                              & ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p1(X1) )
                              & p1(X0) ) ) )
                  & ! [X1] :
                      ( ~ r1(X0,X1)
                      | ~ ( p2(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p2(X0) ) )
                      | p1(X1)
                      | p2(X1)
                      | ~ ( p1(X1)
                          & ! [X0] :
                              ( ~ r1(X1,X0)
                              | p1(X0) )
                          & p1(X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( ! [X1] :
                    ( ~ r1(X0,X1)
                    | ~ ( p6(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p6(X0) ) )
                    | p5(X1) )
                | ! [X1] :
                    ( ~ r1(X0,X1)
                    | p6(X1)
                    | ~ ( p5(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p5(X0) )
                        & p5(X1) ) )
                | ~ ( ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( p6(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p6(X1) ) )
                            | p5(X0) )
                        | p6(X1)
                        | ~ ( p5(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p5(X0) )
                            & p5(X1) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p6(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p6(X0) ) )
                        | p5(X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | p6(X0)
                            | ~ ( p5(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p5(X1) )
                                & p5(X0) ) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p6(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p6(X0) ) )
                        | p5(X1)
                        | p6(X1)
                        | ~ ( p5(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p5(X0) )
                            & p5(X1) ) ) ) )
            | ~ ( ! [X1] :
                    ( ~ r1(X0,X1)
                    | ~ ( p5(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p5(X0) ) )
                    | p4(X1) )
                | ! [X1] :
                    ( ~ r1(X0,X1)
                    | p5(X1)
                    | ~ ( p4(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p4(X0) )
                        & p4(X1) ) )
                | ~ ( ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( p5(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p5(X1) ) )
                            | p4(X0) )
                        | p5(X1)
                        | ~ ( p4(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p4(X0) )
                            & p4(X1) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p5(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p5(X0) ) )
                        | p4(X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | p5(X0)
                            | ~ ( p4(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p4(X1) )
                                & p4(X0) ) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p5(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p5(X0) ) )
                        | p4(X1)
                        | p5(X1)
                        | ~ ( p4(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p4(X0) )
                            & p4(X1) ) ) ) )
            | ~ ( ! [X1] :
                    ( ~ r1(X0,X1)
                    | ~ ( p4(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p4(X0) ) )
                    | p3(X1) )
                | ! [X1] :
                    ( ~ r1(X0,X1)
                    | p4(X1)
                    | ~ ( p3(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p3(X0) )
                        & p3(X1) ) )
                | ~ ( ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( p4(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p4(X1) ) )
                            | p3(X0) )
                        | p4(X1)
                        | ~ ( p3(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p3(X0) )
                            & p3(X1) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p4(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p4(X0) ) )
                        | p3(X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | p4(X0)
                            | ~ ( p3(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p3(X1) )
                                & p3(X0) ) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p4(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p4(X0) ) )
                        | p3(X1)
                        | p4(X1)
                        | ~ ( p3(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p3(X0) )
                            & p3(X1) ) ) ) )
            | ~ ( ! [X1] :
                    ( ~ r1(X0,X1)
                    | ~ ( p3(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p3(X0) ) )
                    | p2(X1) )
                | ! [X1] :
                    ( ~ r1(X0,X1)
                    | p3(X1)
                    | ~ ( p2(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p2(X0) )
                        & p2(X1) ) )
                | ~ ( ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( p3(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p3(X1) ) )
                            | p2(X0) )
                        | p3(X1)
                        | ~ ( p2(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p2(X0) )
                            & p2(X1) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p3(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p3(X0) ) )
                        | p2(X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | p3(X0)
                            | ~ ( p2(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p2(X1) )
                                & p2(X0) ) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p3(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p3(X0) ) )
                        | p2(X1)
                        | p3(X1)
                        | ~ ( p2(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p2(X0) )
                            & p2(X1) ) ) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | p5(X1)
                | ~ ( ! [X0] :
                        ( ~ r1(X1,X0)
                        | p5(X0) )
                    & p5(X1) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | p5(X1)
                | ~ ( ! [X0] :
                        ( ~ r1(X1,X0)
                        | p5(X0) )
                    & p5(X1) ) )
            | ~ ( ! [X1] :
                    ( ~ r1(X0,X1)
                    | ~ ( p2(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p2(X0) ) )
                    | p1(X1) )
                | ! [X1] :
                    ( ~ r1(X0,X1)
                    | p2(X1)
                    | ~ ( p1(X1)
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | p1(X0) )
                        & p1(X1) ) )
                | ~ ( ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( p2(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p2(X1) ) )
                            | p1(X0) )
                        | p2(X1)
                        | ~ ( p1(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p1(X0) )
                            & p1(X1) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p2(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p2(X0) ) )
                        | p1(X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | p2(X0)
                            | ~ ( p1(X0)
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p1(X1) )
                                & p1(X0) ) ) )
                    & ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( p2(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p2(X0) ) )
                        | p1(X1)
                        | p2(X1)
                        | ~ ( p1(X1)
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p1(X0) )
                            & p1(X1) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ( ! [X1] :
                    ( ~ r1(X0,X1)
                    | ~ ( p6(X1)
                        & ! [X2] :
                            ( ~ r1(X1,X2)
                            | p6(X2) ) )
                    | p5(X1) )
                | ! [X3] :
                    ( ~ r1(X0,X3)
                    | p6(X3)
                    | ~ ( p5(X3)
                        & ! [X4] :
                            ( ~ r1(X3,X4)
                            | p5(X4) )
                        & p5(X3) ) )
                | ~ ( ! [X5] :
                        ( ~ r1(X0,X5)
                        | ! [X6] :
                            ( ~ r1(X5,X6)
                            | ~ ( p6(X6)
                                & ! [X7] :
                                    ( ~ r1(X6,X7)
                                    | p6(X7) ) )
                            | p5(X6) )
                        | p6(X5)
                        | ~ ( p5(X5)
                            & ! [X8] :
                                ( ~ r1(X5,X8)
                                | p5(X8) )
                            & p5(X5) ) )
                    & ! [X9] :
                        ( ~ r1(X0,X9)
                        | ~ ( p6(X9)
                            & ! [X10] :
                                ( ~ r1(X9,X10)
                                | p6(X10) ) )
                        | p5(X9)
                        | ! [X11] :
                            ( ~ r1(X9,X11)
                            | p6(X11)
                            | ~ ( p5(X11)
                                & ! [X12] :
                                    ( ~ r1(X11,X12)
                                    | p5(X12) )
                                & p5(X11) ) ) )
                    & ! [X13] :
                        ( ~ r1(X0,X13)
                        | ~ ( p6(X13)
                            & ! [X14] :
                                ( ~ r1(X13,X14)
                                | p6(X14) ) )
                        | p5(X13)
                        | p6(X13)
                        | ~ ( p5(X13)
                            & ! [X15] :
                                ( ~ r1(X13,X15)
                                | p5(X15) )
                            & p5(X13) ) ) ) )
            | ~ ( ! [X16] :
                    ( ~ r1(X0,X16)
                    | ~ ( p5(X16)
                        & ! [X17] :
                            ( ~ r1(X16,X17)
                            | p5(X17) ) )
                    | p4(X16) )
                | ! [X18] :
                    ( ~ r1(X0,X18)
                    | p5(X18)
                    | ~ ( p4(X18)
                        & ! [X19] :
                            ( ~ r1(X18,X19)
                            | p4(X19) )
                        & p4(X18) ) )
                | ~ ( ! [X20] :
                        ( ~ r1(X0,X20)
                        | ! [X21] :
                            ( ~ r1(X20,X21)
                            | ~ ( p5(X21)
                                & ! [X22] :
                                    ( ~ r1(X21,X22)
                                    | p5(X22) ) )
                            | p4(X21) )
                        | p5(X20)
                        | ~ ( p4(X20)
                            & ! [X23] :
                                ( ~ r1(X20,X23)
                                | p4(X23) )
                            & p4(X20) ) )
                    & ! [X24] :
                        ( ~ r1(X0,X24)
                        | ~ ( p5(X24)
                            & ! [X25] :
                                ( ~ r1(X24,X25)
                                | p5(X25) ) )
                        | p4(X24)
                        | ! [X26] :
                            ( ~ r1(X24,X26)
                            | p5(X26)
                            | ~ ( p4(X26)
                                & ! [X27] :
                                    ( ~ r1(X26,X27)
                                    | p4(X27) )
                                & p4(X26) ) ) )
                    & ! [X28] :
                        ( ~ r1(X0,X28)
                        | ~ ( p5(X28)
                            & ! [X29] :
                                ( ~ r1(X28,X29)
                                | p5(X29) ) )
                        | p4(X28)
                        | p5(X28)
                        | ~ ( p4(X28)
                            & ! [X30] :
                                ( ~ r1(X28,X30)
                                | p4(X30) )
                            & p4(X28) ) ) ) )
            | ~ ( ! [X31] :
                    ( ~ r1(X0,X31)
                    | ~ ( p4(X31)
                        & ! [X32] :
                            ( ~ r1(X31,X32)
                            | p4(X32) ) )
                    | p3(X31) )
                | ! [X33] :
                    ( ~ r1(X0,X33)
                    | p4(X33)
                    | ~ ( p3(X33)
                        & ! [X34] :
                            ( ~ r1(X33,X34)
                            | p3(X34) )
                        & p3(X33) ) )
                | ~ ( ! [X35] :
                        ( ~ r1(X0,X35)
                        | ! [X36] :
                            ( ~ r1(X35,X36)
                            | ~ ( p4(X36)
                                & ! [X37] :
                                    ( ~ r1(X36,X37)
                                    | p4(X37) ) )
                            | p3(X36) )
                        | p4(X35)
                        | ~ ( p3(X35)
                            & ! [X38] :
                                ( ~ r1(X35,X38)
                                | p3(X38) )
                            & p3(X35) ) )
                    & ! [X39] :
                        ( ~ r1(X0,X39)
                        | ~ ( p4(X39)
                            & ! [X40] :
                                ( ~ r1(X39,X40)
                                | p4(X40) ) )
                        | p3(X39)
                        | ! [X41] :
                            ( ~ r1(X39,X41)
                            | p4(X41)
                            | ~ ( p3(X41)
                                & ! [X42] :
                                    ( ~ r1(X41,X42)
                                    | p3(X42) )
                                & p3(X41) ) ) )
                    & ! [X43] :
                        ( ~ r1(X0,X43)
                        | ~ ( p4(X43)
                            & ! [X44] :
                                ( ~ r1(X43,X44)
                                | p4(X44) ) )
                        | p3(X43)
                        | p4(X43)
                        | ~ ( p3(X43)
                            & ! [X45] :
                                ( ~ r1(X43,X45)
                                | p3(X45) )
                            & p3(X43) ) ) ) )
            | ~ ( ! [X46] :
                    ( ~ r1(X0,X46)
                    | ~ ( p3(X46)
                        & ! [X47] :
                            ( ~ r1(X46,X47)
                            | p3(X47) ) )
                    | p2(X46) )
                | ! [X48] :
                    ( ~ r1(X0,X48)
                    | p3(X48)
                    | ~ ( p2(X48)
                        & ! [X49] :
                            ( ~ r1(X48,X49)
                            | p2(X49) )
                        & p2(X48) ) )
                | ~ ( ! [X50] :
                        ( ~ r1(X0,X50)
                        | ! [X51] :
                            ( ~ r1(X50,X51)
                            | ~ ( p3(X51)
                                & ! [X52] :
                                    ( ~ r1(X51,X52)
                                    | p3(X52) ) )
                            | p2(X51) )
                        | p3(X50)
                        | ~ ( p2(X50)
                            & ! [X53] :
                                ( ~ r1(X50,X53)
                                | p2(X53) )
                            & p2(X50) ) )
                    & ! [X54] :
                        ( ~ r1(X0,X54)
                        | ~ ( p3(X54)
                            & ! [X55] :
                                ( ~ r1(X54,X55)
                                | p3(X55) ) )
                        | p2(X54)
                        | ! [X56] :
                            ( ~ r1(X54,X56)
                            | p3(X56)
                            | ~ ( p2(X56)
                                & ! [X57] :
                                    ( ~ r1(X56,X57)
                                    | p2(X57) )
                                & p2(X56) ) ) )
                    & ! [X58] :
                        ( ~ r1(X0,X58)
                        | ~ ( p3(X58)
                            & ! [X59] :
                                ( ~ r1(X58,X59)
                                | p3(X59) ) )
                        | p2(X58)
                        | p3(X58)
                        | ~ ( p2(X58)
                            & ! [X60] :
                                ( ~ r1(X58,X60)
                                | p2(X60) )
                            & p2(X58) ) ) ) )
            | ! [X61] :
                ( ~ r1(X0,X61)
                | p5(X61)
                | ~ ( ! [X62] :
                        ( ~ r1(X61,X62)
                        | p5(X62) )
                    & p5(X61) ) )
            | ! [X63] :
                ( ~ r1(X0,X63)
                | p5(X63)
                | ~ ( ! [X64] :
                        ( ~ r1(X63,X64)
                        | p5(X64) )
                    & p5(X63) ) )
            | ~ ( ! [X65] :
                    ( ~ r1(X0,X65)
                    | ~ ( p2(X65)
                        & ! [X66] :
                            ( ~ r1(X65,X66)
                            | p2(X66) ) )
                    | p1(X65) )
                | ! [X67] :
                    ( ~ r1(X0,X67)
                    | p2(X67)
                    | ~ ( p1(X67)
                        & ! [X68] :
                            ( ~ r1(X67,X68)
                            | p1(X68) )
                        & p1(X67) ) )
                | ~ ( ! [X69] :
                        ( ~ r1(X0,X69)
                        | ! [X70] :
                            ( ~ r1(X69,X70)
                            | ~ ( p2(X70)
                                & ! [X71] :
                                    ( ~ r1(X70,X71)
                                    | p2(X71) ) )
                            | p1(X70) )
                        | p2(X69)
                        | ~ ( p1(X69)
                            & ! [X72] :
                                ( ~ r1(X69,X72)
                                | p1(X72) )
                            & p1(X69) ) )
                    & ! [X73] :
                        ( ~ r1(X0,X73)
                        | ~ ( p2(X73)
                            & ! [X74] :
                                ( ~ r1(X73,X74)
                                | p2(X74) ) )
                        | p1(X73)
                        | ! [X75] :
                            ( ~ r1(X73,X75)
                            | p2(X75)
                            | ~ ( p1(X75)
                                & ! [X76] :
                                    ( ~ r1(X75,X76)
                                    | p1(X76) )
                                & p1(X75) ) ) )
                    & ! [X77] :
                        ( ~ r1(X0,X77)
                        | ~ ( p2(X77)
                            & ! [X78] :
                                ( ~ r1(X77,X78)
                                | p2(X78) ) )
                        | p1(X77)
                        | p2(X77)
                        | ~ ( p1(X77)
                            & ! [X79] :
                                ( ~ r1(X77,X79)
                                | p1(X79) )
                            & p1(X77) ) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ? [X0] :
      ~ ( ~ ( ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( p6(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p6(X2) ) )
                | p5(X1) )
            | ! [X3] :
                ( ~ r1(X0,X3)
                | p6(X3)
                | ~ ( p5(X3)
                    & ! [X4] :
                        ( ~ r1(X3,X4)
                        | p5(X4) )
                    & p5(X3) ) )
            | ~ ( ! [X5] :
                    ( ~ r1(X0,X5)
                    | ! [X6] :
                        ( ~ r1(X5,X6)
                        | ~ ( p6(X6)
                            & ! [X7] :
                                ( ~ r1(X6,X7)
                                | p6(X7) ) )
                        | p5(X6) )
                    | p6(X5)
                    | ~ ( p5(X5)
                        & ! [X8] :
                            ( ~ r1(X5,X8)
                            | p5(X8) )
                        & p5(X5) ) )
                & ! [X9] :
                    ( ~ r1(X0,X9)
                    | ~ ( p6(X9)
                        & ! [X10] :
                            ( ~ r1(X9,X10)
                            | p6(X10) ) )
                    | p5(X9)
                    | ! [X11] :
                        ( ~ r1(X9,X11)
                        | p6(X11)
                        | ~ ( p5(X11)
                            & ! [X12] :
                                ( ~ r1(X11,X12)
                                | p5(X12) )
                            & p5(X11) ) ) )
                & ! [X13] :
                    ( ~ r1(X0,X13)
                    | ~ ( p6(X13)
                        & ! [X14] :
                            ( ~ r1(X13,X14)
                            | p6(X14) ) )
                    | p5(X13)
                    | p6(X13)
                    | ~ ( p5(X13)
                        & ! [X15] :
                            ( ~ r1(X13,X15)
                            | p5(X15) )
                        & p5(X13) ) ) ) )
        | ~ ( ! [X16] :
                ( ~ r1(X0,X16)
                | ~ ( p5(X16)
                    & ! [X17] :
                        ( ~ r1(X16,X17)
                        | p5(X17) ) )
                | p4(X16) )
            | ! [X18] :
                ( ~ r1(X0,X18)
                | p5(X18)
                | ~ ( p4(X18)
                    & ! [X19] :
                        ( ~ r1(X18,X19)
                        | p4(X19) )
                    & p4(X18) ) )
            | ~ ( ! [X20] :
                    ( ~ r1(X0,X20)
                    | ! [X21] :
                        ( ~ r1(X20,X21)
                        | ~ ( p5(X21)
                            & ! [X22] :
                                ( ~ r1(X21,X22)
                                | p5(X22) ) )
                        | p4(X21) )
                    | p5(X20)
                    | ~ ( p4(X20)
                        & ! [X23] :
                            ( ~ r1(X20,X23)
                            | p4(X23) )
                        & p4(X20) ) )
                & ! [X24] :
                    ( ~ r1(X0,X24)
                    | ~ ( p5(X24)
                        & ! [X25] :
                            ( ~ r1(X24,X25)
                            | p5(X25) ) )
                    | p4(X24)
                    | ! [X26] :
                        ( ~ r1(X24,X26)
                        | p5(X26)
                        | ~ ( p4(X26)
                            & ! [X27] :
                                ( ~ r1(X26,X27)
                                | p4(X27) )
                            & p4(X26) ) ) )
                & ! [X28] :
                    ( ~ r1(X0,X28)
                    | ~ ( p5(X28)
                        & ! [X29] :
                            ( ~ r1(X28,X29)
                            | p5(X29) ) )
                    | p4(X28)
                    | p5(X28)
                    | ~ ( p4(X28)
                        & ! [X30] :
                            ( ~ r1(X28,X30)
                            | p4(X30) )
                        & p4(X28) ) ) ) )
        | ~ ( ! [X31] :
                ( ~ r1(X0,X31)
                | ~ ( p4(X31)
                    & ! [X32] :
                        ( ~ r1(X31,X32)
                        | p4(X32) ) )
                | p3(X31) )
            | ! [X33] :
                ( ~ r1(X0,X33)
                | p4(X33)
                | ~ ( p3(X33)
                    & ! [X34] :
                        ( ~ r1(X33,X34)
                        | p3(X34) )
                    & p3(X33) ) )
            | ~ ( ! [X35] :
                    ( ~ r1(X0,X35)
                    | ! [X36] :
                        ( ~ r1(X35,X36)
                        | ~ ( p4(X36)
                            & ! [X37] :
                                ( ~ r1(X36,X37)
                                | p4(X37) ) )
                        | p3(X36) )
                    | p4(X35)
                    | ~ ( p3(X35)
                        & ! [X38] :
                            ( ~ r1(X35,X38)
                            | p3(X38) )
                        & p3(X35) ) )
                & ! [X39] :
                    ( ~ r1(X0,X39)
                    | ~ ( p4(X39)
                        & ! [X40] :
                            ( ~ r1(X39,X40)
                            | p4(X40) ) )
                    | p3(X39)
                    | ! [X41] :
                        ( ~ r1(X39,X41)
                        | p4(X41)
                        | ~ ( p3(X41)
                            & ! [X42] :
                                ( ~ r1(X41,X42)
                                | p3(X42) )
                            & p3(X41) ) ) )
                & ! [X43] :
                    ( ~ r1(X0,X43)
                    | ~ ( p4(X43)
                        & ! [X44] :
                            ( ~ r1(X43,X44)
                            | p4(X44) ) )
                    | p3(X43)
                    | p4(X43)
                    | ~ ( p3(X43)
                        & ! [X45] :
                            ( ~ r1(X43,X45)
                            | p3(X45) )
                        & p3(X43) ) ) ) )
        | ~ ( ! [X46] :
                ( ~ r1(X0,X46)
                | ~ ( p3(X46)
                    & ! [X47] :
                        ( ~ r1(X46,X47)
                        | p3(X47) ) )
                | p2(X46) )
            | ! [X48] :
                ( ~ r1(X0,X48)
                | p3(X48)
                | ~ ( p2(X48)
                    & ! [X49] :
                        ( ~ r1(X48,X49)
                        | p2(X49) )
                    & p2(X48) ) )
            | ~ ( ! [X50] :
                    ( ~ r1(X0,X50)
                    | ! [X51] :
                        ( ~ r1(X50,X51)
                        | ~ ( p3(X51)
                            & ! [X52] :
                                ( ~ r1(X51,X52)
                                | p3(X52) ) )
                        | p2(X51) )
                    | p3(X50)
                    | ~ ( p2(X50)
                        & ! [X53] :
                            ( ~ r1(X50,X53)
                            | p2(X53) )
                        & p2(X50) ) )
                & ! [X54] :
                    ( ~ r1(X0,X54)
                    | ~ ( p3(X54)
                        & ! [X55] :
                            ( ~ r1(X54,X55)
                            | p3(X55) ) )
                    | p2(X54)
                    | ! [X56] :
                        ( ~ r1(X54,X56)
                        | p3(X56)
                        | ~ ( p2(X56)
                            & ! [X57] :
                                ( ~ r1(X56,X57)
                                | p2(X57) )
                            & p2(X56) ) ) )
                & ! [X58] :
                    ( ~ r1(X0,X58)
                    | ~ ( p3(X58)
                        & ! [X59] :
                            ( ~ r1(X58,X59)
                            | p3(X59) ) )
                    | p2(X58)
                    | p3(X58)
                    | ~ ( p2(X58)
                        & ! [X60] :
                            ( ~ r1(X58,X60)
                            | p2(X60) )
                        & p2(X58) ) ) ) )
        | ! [X61] :
            ( ~ r1(X0,X61)
            | p5(X61)
            | ~ ( ! [X62] :
                    ( ~ r1(X61,X62)
                    | p5(X62) )
                & p5(X61) ) )
        | ! [X63] :
            ( ~ r1(X0,X63)
            | p5(X63)
            | ~ ( ! [X64] :
                    ( ~ r1(X63,X64)
                    | p5(X64) )
                & p5(X63) ) )
        | ~ ( ! [X65] :
                ( ~ r1(X0,X65)
                | ~ ( p2(X65)
                    & ! [X66] :
                        ( ~ r1(X65,X66)
                        | p2(X66) ) )
                | p1(X65) )
            | ! [X67] :
                ( ~ r1(X0,X67)
                | p2(X67)
                | ~ ( p1(X67)
                    & ! [X68] :
                        ( ~ r1(X67,X68)
                        | p1(X68) )
                    & p1(X67) ) )
            | ~ ( ! [X69] :
                    ( ~ r1(X0,X69)
                    | ! [X70] :
                        ( ~ r1(X69,X70)
                        | ~ ( p2(X70)
                            & ! [X71] :
                                ( ~ r1(X70,X71)
                                | p2(X71) ) )
                        | p1(X70) )
                    | p2(X69)
                    | ~ ( p1(X69)
                        & ! [X72] :
                            ( ~ r1(X69,X72)
                            | p1(X72) )
                        & p1(X69) ) )
                & ! [X73] :
                    ( ~ r1(X0,X73)
                    | ~ ( p2(X73)
                        & ! [X74] :
                            ( ~ r1(X73,X74)
                            | p2(X74) ) )
                    | p1(X73)
                    | ! [X75] :
                        ( ~ r1(X73,X75)
                        | p2(X75)
                        | ~ ( p1(X75)
                            & ! [X76] :
                                ( ~ r1(X75,X76)
                                | p1(X76) )
                            & p1(X75) ) ) )
                & ! [X77] :
                    ( ~ r1(X0,X77)
                    | ~ ( p2(X77)
                        & ! [X78] :
                            ( ~ r1(X77,X78)
                            | p2(X78) ) )
                    | p1(X77)
                    | p2(X77)
                    | ~ ( p1(X77)
                        & ! [X79] :
                            ( ~ r1(X77,X79)
                            | p1(X79) )
                        & p1(X77) ) ) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ? [X0] :
      ( ( ! [X1] :
            ( ~ r1(X0,X1)
            | ~ p6(X1)
            | ? [X2] :
                ( r1(X1,X2)
                & ~ p6(X2) )
            | p5(X1) )
        | ! [X3] :
            ( ~ r1(X0,X3)
            | p6(X3)
            | ~ p5(X3)
            | ? [X4] :
                ( r1(X3,X4)
                & ~ p5(X4) )
            | ~ p5(X3) )
        | ? [X5] :
            ( r1(X0,X5)
            & ? [X6] :
                ( r1(X5,X6)
                & p6(X6)
                & ! [X7] :
                    ( ~ r1(X6,X7)
                    | p6(X7) )
                & ~ p5(X6) )
            & ~ p6(X5)
            & p5(X5)
            & ! [X8] :
                ( ~ r1(X5,X8)
                | p5(X8) )
            & p5(X5) )
        | ? [X9] :
            ( r1(X0,X9)
            & p6(X9)
            & ! [X10] :
                ( ~ r1(X9,X10)
                | p6(X10) )
            & ~ p5(X9)
            & ? [X11] :
                ( r1(X9,X11)
                & ~ p6(X11)
                & p5(X11)
                & ! [X12] :
                    ( ~ r1(X11,X12)
                    | p5(X12) )
                & p5(X11) ) )
        | ? [X13] :
            ( r1(X0,X13)
            & p6(X13)
            & ! [X14] :
                ( ~ r1(X13,X14)
                | p6(X14) )
            & ~ p5(X13)
            & ~ p6(X13)
            & p5(X13)
            & ! [X15] :
                ( ~ r1(X13,X15)
                | p5(X15) )
            & p5(X13) ) )
      & ( ! [X16] :
            ( ~ r1(X0,X16)
            | ~ p5(X16)
            | ? [X17] :
                ( r1(X16,X17)
                & ~ p5(X17) )
            | p4(X16) )
        | ! [X18] :
            ( ~ r1(X0,X18)
            | p5(X18)
            | ~ p4(X18)
            | ? [X19] :
                ( r1(X18,X19)
                & ~ p4(X19) )
            | ~ p4(X18) )
        | ? [X20] :
            ( r1(X0,X20)
            & ? [X21] :
                ( r1(X20,X21)
                & p5(X21)
                & ! [X22] :
                    ( ~ r1(X21,X22)
                    | p5(X22) )
                & ~ p4(X21) )
            & ~ p5(X20)
            & p4(X20)
            & ! [X23] :
                ( ~ r1(X20,X23)
                | p4(X23) )
            & p4(X20) )
        | ? [X24] :
            ( r1(X0,X24)
            & p5(X24)
            & ! [X25] :
                ( ~ r1(X24,X25)
                | p5(X25) )
            & ~ p4(X24)
            & ? [X26] :
                ( r1(X24,X26)
                & ~ p5(X26)
                & p4(X26)
                & ! [X27] :
                    ( ~ r1(X26,X27)
                    | p4(X27) )
                & p4(X26) ) )
        | ? [X28] :
            ( r1(X0,X28)
            & p5(X28)
            & ! [X29] :
                ( ~ r1(X28,X29)
                | p5(X29) )
            & ~ p4(X28)
            & ~ p5(X28)
            & p4(X28)
            & ! [X30] :
                ( ~ r1(X28,X30)
                | p4(X30) )
            & p4(X28) ) )
      & ( ! [X31] :
            ( ~ r1(X0,X31)
            | ~ p4(X31)
            | ? [X32] :
                ( r1(X31,X32)
                & ~ p4(X32) )
            | p3(X31) )
        | ! [X33] :
            ( ~ r1(X0,X33)
            | p4(X33)
            | ~ p3(X33)
            | ? [X34] :
                ( r1(X33,X34)
                & ~ p3(X34) )
            | ~ p3(X33) )
        | ? [X35] :
            ( r1(X0,X35)
            & ? [X36] :
                ( r1(X35,X36)
                & p4(X36)
                & ! [X37] :
                    ( ~ r1(X36,X37)
                    | p4(X37) )
                & ~ p3(X36) )
            & ~ p4(X35)
            & p3(X35)
            & ! [X38] :
                ( ~ r1(X35,X38)
                | p3(X38) )
            & p3(X35) )
        | ? [X39] :
            ( r1(X0,X39)
            & p4(X39)
            & ! [X40] :
                ( ~ r1(X39,X40)
                | p4(X40) )
            & ~ p3(X39)
            & ? [X41] :
                ( r1(X39,X41)
                & ~ p4(X41)
                & p3(X41)
                & ! [X42] :
                    ( ~ r1(X41,X42)
                    | p3(X42) )
                & p3(X41) ) )
        | ? [X43] :
            ( r1(X0,X43)
            & p4(X43)
            & ! [X44] :
                ( ~ r1(X43,X44)
                | p4(X44) )
            & ~ p3(X43)
            & ~ p4(X43)
            & p3(X43)
            & ! [X45] :
                ( ~ r1(X43,X45)
                | p3(X45) )
            & p3(X43) ) )
      & ( ! [X46] :
            ( ~ r1(X0,X46)
            | ~ p3(X46)
            | ? [X47] :
                ( r1(X46,X47)
                & ~ p3(X47) )
            | p2(X46) )
        | ! [X48] :
            ( ~ r1(X0,X48)
            | p3(X48)
            | ~ p2(X48)
            | ? [X49] :
                ( r1(X48,X49)
                & ~ p2(X49) )
            | ~ p2(X48) )
        | ? [X50] :
            ( r1(X0,X50)
            & ? [X51] :
                ( r1(X50,X51)
                & p3(X51)
                & ! [X52] :
                    ( ~ r1(X51,X52)
                    | p3(X52) )
                & ~ p2(X51) )
            & ~ p3(X50)
            & p2(X50)
            & ! [X53] :
                ( ~ r1(X50,X53)
                | p2(X53) )
            & p2(X50) )
        | ? [X54] :
            ( r1(X0,X54)
            & p3(X54)
            & ! [X55] :
                ( ~ r1(X54,X55)
                | p3(X55) )
            & ~ p2(X54)
            & ? [X56] :
                ( r1(X54,X56)
                & ~ p3(X56)
                & p2(X56)
                & ! [X57] :
                    ( ~ r1(X56,X57)
                    | p2(X57) )
                & p2(X56) ) )
        | ? [X58] :
            ( r1(X0,X58)
            & p3(X58)
            & ! [X59] :
                ( ~ r1(X58,X59)
                | p3(X59) )
            & ~ p2(X58)
            & ~ p3(X58)
            & p2(X58)
            & ! [X60] :
                ( ~ r1(X58,X60)
                | p2(X60) )
            & p2(X58) ) )
      & ? [X61] :
          ( r1(X0,X61)
          & ~ p5(X61)
          & ! [X62] :
              ( ~ r1(X61,X62)
              | p5(X62) )
          & p5(X61) )
      & ? [X63] :
          ( r1(X0,X63)
          & ~ p5(X63)
          & ! [X64] :
              ( ~ r1(X63,X64)
              | p5(X64) )
          & p5(X63) )
      & ( ! [X65] :
            ( ~ r1(X0,X65)
            | ~ p2(X65)
            | ? [X66] :
                ( r1(X65,X66)
                & ~ p2(X66) )
            | p1(X65) )
        | ! [X67] :
            ( ~ r1(X0,X67)
            | p2(X67)
            | ~ p1(X67)
            | ? [X68] :
                ( r1(X67,X68)
                & ~ p1(X68) )
            | ~ p1(X67) )
        | ? [X69] :
            ( r1(X0,X69)
            & ? [X70] :
                ( r1(X69,X70)
                & p2(X70)
                & ! [X71] :
                    ( ~ r1(X70,X71)
                    | p2(X71) )
                & ~ p1(X70) )
            & ~ p2(X69)
            & p1(X69)
            & ! [X72] :
                ( ~ r1(X69,X72)
                | p1(X72) )
            & p1(X69) )
        | ? [X73] :
            ( r1(X0,X73)
            & p2(X73)
            & ! [X74] :
                ( ~ r1(X73,X74)
                | p2(X74) )
            & ~ p1(X73)
            & ? [X75] :
                ( r1(X73,X75)
                & ~ p2(X75)
                & p1(X75)
                & ! [X76] :
                    ( ~ r1(X75,X76)
                    | p1(X76) )
                & p1(X75) ) )
        | ? [X77] :
            ( r1(X0,X77)
            & p2(X77)
            & ! [X78] :
                ( ~ r1(X77,X78)
                | p2(X78) )
            & ~ p1(X77)
            & ~ p2(X77)
            & p1(X77)
            & ! [X79] :
                ( ~ r1(X77,X79)
                | p1(X79) )
            & p1(X77) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ? [X0] :
      ( ( ! [X1] :
            ( ~ r1(X0,X1)
            | ~ p6(X1)
            | ? [X2] :
                ( r1(X1,X2)
                & ~ p6(X2) )
            | p5(X1) )
        | ! [X3] :
            ( ~ r1(X0,X3)
            | p6(X3)
            | ~ p5(X3)
            | ? [X4] :
                ( r1(X3,X4)
                & ~ p5(X4) )
            | ~ p5(X3) )
        | ? [X5] :
            ( r1(X0,X5)
            & ? [X6] :
                ( r1(X5,X6)
                & p6(X6)
                & ! [X7] :
                    ( ~ r1(X6,X7)
                    | p6(X7) )
                & ~ p5(X6) )
            & ~ p6(X5)
            & p5(X5)
            & ! [X8] :
                ( ~ r1(X5,X8)
                | p5(X8) )
            & p5(X5) )
        | ? [X9] :
            ( r1(X0,X9)
            & p6(X9)
            & ! [X10] :
                ( ~ r1(X9,X10)
                | p6(X10) )
            & ~ p5(X9)
            & ? [X11] :
                ( r1(X9,X11)
                & ~ p6(X11)
                & p5(X11)
                & ! [X12] :
                    ( ~ r1(X11,X12)
                    | p5(X12) )
                & p5(X11) ) )
        | ? [X13] :
            ( r1(X0,X13)
            & p6(X13)
            & ! [X14] :
                ( ~ r1(X13,X14)
                | p6(X14) )
            & ~ p5(X13)
            & ~ p6(X13)
            & p5(X13)
            & ! [X15] :
                ( ~ r1(X13,X15)
                | p5(X15) )
            & p5(X13) ) )
      & ( ! [X16] :
            ( ~ r1(X0,X16)
            | ~ p5(X16)
            | ? [X17] :
                ( r1(X16,X17)
                & ~ p5(X17) )
            | p4(X16) )
        | ! [X18] :
            ( ~ r1(X0,X18)
            | p5(X18)
            | ~ p4(X18)
            | ? [X19] :
                ( r1(X18,X19)
                & ~ p4(X19) )
            | ~ p4(X18) )
        | ? [X20] :
            ( r1(X0,X20)
            & ? [X21] :
                ( r1(X20,X21)
                & p5(X21)
                & ! [X22] :
                    ( ~ r1(X21,X22)
                    | p5(X22) )
                & ~ p4(X21) )
            & ~ p5(X20)
            & p4(X20)
            & ! [X23] :
                ( ~ r1(X20,X23)
                | p4(X23) )
            & p4(X20) )
        | ? [X24] :
            ( r1(X0,X24)
            & p5(X24)
            & ! [X25] :
                ( ~ r1(X24,X25)
                | p5(X25) )
            & ~ p4(X24)
            & ? [X26] :
                ( r1(X24,X26)
                & ~ p5(X26)
                & p4(X26)
                & ! [X27] :
                    ( ~ r1(X26,X27)
                    | p4(X27) )
                & p4(X26) ) )
        | ? [X28] :
            ( r1(X0,X28)
            & p5(X28)
            & ! [X29] :
                ( ~ r1(X28,X29)
                | p5(X29) )
            & ~ p4(X28)
            & ~ p5(X28)
            & p4(X28)
            & ! [X30] :
                ( ~ r1(X28,X30)
                | p4(X30) )
            & p4(X28) ) )
      & ( ! [X31] :
            ( ~ r1(X0,X31)
            | ~ p4(X31)
            | ? [X32] :
                ( r1(X31,X32)
                & ~ p4(X32) )
            | p3(X31) )
        | ! [X33] :
            ( ~ r1(X0,X33)
            | p4(X33)
            | ~ p3(X33)
            | ? [X34] :
                ( r1(X33,X34)
                & ~ p3(X34) )
            | ~ p3(X33) )
        | ? [X35] :
            ( r1(X0,X35)
            & ? [X36] :
                ( r1(X35,X36)
                & p4(X36)
                & ! [X37] :
                    ( ~ r1(X36,X37)
                    | p4(X37) )
                & ~ p3(X36) )
            & ~ p4(X35)
            & p3(X35)
            & ! [X38] :
                ( ~ r1(X35,X38)
                | p3(X38) )
            & p3(X35) )
        | ? [X39] :
            ( r1(X0,X39)
            & p4(X39)
            & ! [X40] :
                ( ~ r1(X39,X40)
                | p4(X40) )
            & ~ p3(X39)
            & ? [X41] :
                ( r1(X39,X41)
                & ~ p4(X41)
                & p3(X41)
                & ! [X42] :
                    ( ~ r1(X41,X42)
                    | p3(X42) )
                & p3(X41) ) )
        | ? [X43] :
            ( r1(X0,X43)
            & p4(X43)
            & ! [X44] :
                ( ~ r1(X43,X44)
                | p4(X44) )
            & ~ p3(X43)
            & ~ p4(X43)
            & p3(X43)
            & ! [X45] :
                ( ~ r1(X43,X45)
                | p3(X45) )
            & p3(X43) ) )
      & ( ! [X46] :
            ( ~ r1(X0,X46)
            | ~ p3(X46)
            | ? [X47] :
                ( r1(X46,X47)
                & ~ p3(X47) )
            | p2(X46) )
        | ! [X48] :
            ( ~ r1(X0,X48)
            | p3(X48)
            | ~ p2(X48)
            | ? [X49] :
                ( r1(X48,X49)
                & ~ p2(X49) )
            | ~ p2(X48) )
        | ? [X50] :
            ( r1(X0,X50)
            & ? [X51] :
                ( r1(X50,X51)
                & p3(X51)
                & ! [X52] :
                    ( ~ r1(X51,X52)
                    | p3(X52) )
                & ~ p2(X51) )
            & ~ p3(X50)
            & p2(X50)
            & ! [X53] :
                ( ~ r1(X50,X53)
                | p2(X53) )
            & p2(X50) )
        | ? [X54] :
            ( r1(X0,X54)
            & p3(X54)
            & ! [X55] :
                ( ~ r1(X54,X55)
                | p3(X55) )
            & ~ p2(X54)
            & ? [X56] :
                ( r1(X54,X56)
                & ~ p3(X56)
                & p2(X56)
                & ! [X57] :
                    ( ~ r1(X56,X57)
                    | p2(X57) )
                & p2(X56) ) )
        | ? [X58] :
            ( r1(X0,X58)
            & p3(X58)
            & ! [X59] :
                ( ~ r1(X58,X59)
                | p3(X59) )
            & ~ p2(X58)
            & ~ p3(X58)
            & p2(X58)
            & ! [X60] :
                ( ~ r1(X58,X60)
                | p2(X60) )
            & p2(X58) ) )
      & ? [X61] :
          ( r1(X0,X61)
          & ~ p5(X61)
          & ! [X62] :
              ( ~ r1(X61,X62)
              | p5(X62) )
          & p5(X61) )
      & ? [X63] :
          ( r1(X0,X63)
          & ~ p5(X63)
          & ! [X64] :
              ( ~ r1(X63,X64)
              | p5(X64) )
          & p5(X63) )
      & ( ! [X65] :
            ( ~ r1(X0,X65)
            | ~ p2(X65)
            | ? [X66] :
                ( r1(X65,X66)
                & ~ p2(X66) )
            | p1(X65) )
        | ! [X67] :
            ( ~ r1(X0,X67)
            | p2(X67)
            | ~ p1(X67)
            | ? [X68] :
                ( r1(X67,X68)
                & ~ p1(X68) )
            | ~ p1(X67) )
        | ? [X69] :
            ( r1(X0,X69)
            & ? [X70] :
                ( r1(X69,X70)
                & p2(X70)
                & ! [X71] :
                    ( ~ r1(X70,X71)
                    | p2(X71) )
                & ~ p1(X70) )
            & ~ p2(X69)
            & p1(X69)
            & ! [X72] :
                ( ~ r1(X69,X72)
                | p1(X72) )
            & p1(X69) )
        | ? [X73] :
            ( r1(X0,X73)
            & p2(X73)
            & ! [X74] :
                ( ~ r1(X73,X74)
                | p2(X74) )
            & ~ p1(X73)
            & ? [X75] :
                ( r1(X73,X75)
                & ~ p2(X75)
                & p1(X75)
                & ! [X76] :
                    ( ~ r1(X75,X76)
                    | p1(X76) )
                & p1(X75) ) )
        | ? [X77] :
            ( r1(X0,X77)
            & p2(X77)
            & ! [X78] :
                ( ~ r1(X77,X78)
                | p2(X78) )
            & ~ p1(X77)
            & ~ p2(X77)
            & p1(X77)
            & ! [X79] :
                ( ~ r1(X77,X79)
                | p1(X79) )
            & p1(X77) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f7,definition,
    ! [X73] :
      ( ? [X75] :
          ( r1(X73,X75)
          & ~ p2(X75)
          & p1(X75)
          & ! [X76] :
              ( ~ r1(X75,X76)
              | p1(X76) )
          & p1(X75) )
      | ~ sP0(X73) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f8,definition,
    ! [X69] :
      ( ? [X70] :
          ( r1(X69,X70)
          & p2(X70)
          & ! [X71] :
              ( ~ r1(X70,X71)
              | p2(X71) )
          & ~ p1(X70) )
      | ~ sP1(X69) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f9,definition,
    ! [X0] :
      ( ? [X77] :
          ( r1(X0,X77)
          & p2(X77)
          & ! [X78] :
              ( ~ r1(X77,X78)
              | p2(X78) )
          & ~ p1(X77)
          & ~ p2(X77)
          & p1(X77)
          & ! [X79] :
              ( ~ r1(X77,X79)
              | p1(X79) )
          & p1(X77) )
      | ~ sP2(X0) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f10,definition,
    ! [X0] :
      ( ? [X69] :
          ( r1(X0,X69)
          & sP1(X69)
          & ~ p2(X69)
          & p1(X69)
          & ! [X72] :
              ( ~ r1(X69,X72)
              | p1(X72) )
          & p1(X69) )
      | ~ sP3(X0) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f11,definition,
    ! [X0] :
      ( ? [X73] :
          ( r1(X0,X73)
          & p2(X73)
          & ! [X74] :
              ( ~ r1(X73,X74)
              | p2(X74) )
          & ~ p1(X73)
          & sP0(X73) )
      | ~ sP4(X0) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f12,definition,
    ! [X54] :
      ( ? [X56] :
          ( r1(X54,X56)
          & ~ p3(X56)
          & p2(X56)
          & ! [X57] :
              ( ~ r1(X56,X57)
              | p2(X57) )
          & p2(X56) )
      | ~ sP5(X54) ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f13,definition,
    ! [X50] :
      ( ? [X51] :
          ( r1(X50,X51)
          & p3(X51)
          & ! [X52] :
              ( ~ r1(X51,X52)
              | p3(X52) )
          & ~ p2(X51) )
      | ~ sP6(X50) ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f14,definition,
    ! [X0] :
      ( ? [X58] :
          ( r1(X0,X58)
          & p3(X58)
          & ! [X59] :
              ( ~ r1(X58,X59)
              | p3(X59) )
          & ~ p2(X58)
          & ~ p3(X58)
          & p2(X58)
          & ! [X60] :
              ( ~ r1(X58,X60)
              | p2(X60) )
          & p2(X58) )
      | ~ sP7(X0) ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

fof(f15,definition,
    ! [X0] :
      ( ? [X50] :
          ( r1(X0,X50)
          & sP6(X50)
          & ~ p3(X50)
          & p2(X50)
          & ! [X53] :
              ( ~ r1(X50,X53)
              | p2(X53) )
          & p2(X50) )
      | ~ sP8(X0) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f16,definition,
    ! [X0] :
      ( ? [X54] :
          ( r1(X0,X54)
          & p3(X54)
          & ! [X55] :
              ( ~ r1(X54,X55)
              | p3(X55) )
          & ~ p2(X54)
          & sP5(X54) )
      | ~ sP9(X0) ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f17,definition,
    ! [X39] :
      ( ? [X41] :
          ( r1(X39,X41)
          & ~ p4(X41)
          & p3(X41)
          & ! [X42] :
              ( ~ r1(X41,X42)
              | p3(X42) )
          & p3(X41) )
      | ~ sP10(X39) ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f18,definition,
    ! [X35] :
      ( ? [X36] :
          ( r1(X35,X36)
          & p4(X36)
          & ! [X37] :
              ( ~ r1(X36,X37)
              | p4(X37) )
          & ~ p3(X36) )
      | ~ sP11(X35) ),
    introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).

fof(f19,definition,
    ! [X0] :
      ( ? [X43] :
          ( r1(X0,X43)
          & p4(X43)
          & ! [X44] :
              ( ~ r1(X43,X44)
              | p4(X44) )
          & ~ p3(X43)
          & ~ p4(X43)
          & p3(X43)
          & ! [X45] :
              ( ~ r1(X43,X45)
              | p3(X45) )
          & p3(X43) )
      | ~ sP12(X0) ),
    introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).

fof(f20,definition,
    ! [X0] :
      ( ? [X35] :
          ( r1(X0,X35)
          & sP11(X35)
          & ~ p4(X35)
          & p3(X35)
          & ! [X38] :
              ( ~ r1(X35,X38)
              | p3(X38) )
          & p3(X35) )
      | ~ sP13(X0) ),
    introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).

fof(f21,definition,
    ! [X0] :
      ( ? [X39] :
          ( r1(X0,X39)
          & p4(X39)
          & ! [X40] :
              ( ~ r1(X39,X40)
              | p4(X40) )
          & ~ p3(X39)
          & sP10(X39) )
      | ~ sP14(X0) ),
    introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).

fof(f22,definition,
    ! [X24] :
      ( ? [X26] :
          ( r1(X24,X26)
          & ~ p5(X26)
          & p4(X26)
          & ! [X27] :
              ( ~ r1(X26,X27)
              | p4(X27) )
          & p4(X26) )
      | ~ sP15(X24) ),
    introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).

fof(f23,definition,
    ! [X20] :
      ( ? [X21] :
          ( r1(X20,X21)
          & p5(X21)
          & ! [X22] :
              ( ~ r1(X21,X22)
              | p5(X22) )
          & ~ p4(X21) )
      | ~ sP16(X20) ),
    introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).

fof(f24,definition,
    ! [X0] :
      ( ? [X28] :
          ( r1(X0,X28)
          & p5(X28)
          & ! [X29] :
              ( ~ r1(X28,X29)
              | p5(X29) )
          & ~ p4(X28)
          & ~ p5(X28)
          & p4(X28)
          & ! [X30] :
              ( ~ r1(X28,X30)
              | p4(X30) )
          & p4(X28) )
      | ~ sP17(X0) ),
    introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).

fof(f25,definition,
    ! [X0] :
      ( ? [X20] :
          ( r1(X0,X20)
          & sP16(X20)
          & ~ p5(X20)
          & p4(X20)
          & ! [X23] :
              ( ~ r1(X20,X23)
              | p4(X23) )
          & p4(X20) )
      | ~ sP18(X0) ),
    introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).

fof(f26,definition,
    ! [X0] :
      ( ? [X24] :
          ( r1(X0,X24)
          & p5(X24)
          & ! [X25] :
              ( ~ r1(X24,X25)
              | p5(X25) )
          & ~ p4(X24)
          & sP15(X24) )
      | ~ sP19(X0) ),
    introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).

fof(f27,definition,
    ! [X9] :
      ( ? [X11] :
          ( r1(X9,X11)
          & ~ p6(X11)
          & p5(X11)
          & ! [X12] :
              ( ~ r1(X11,X12)
              | p5(X12) )
          & p5(X11) )
      | ~ sP20(X9) ),
    introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).

fof(f28,definition,
    ! [X5] :
      ( ? [X6] :
          ( r1(X5,X6)
          & p6(X6)
          & ! [X7] :
              ( ~ r1(X6,X7)
              | p6(X7) )
          & ~ p5(X6) )
      | ~ sP21(X5) ),
    introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).

fof(f29,definition,
    ! [X0] :
      ( ? [X13] :
          ( r1(X0,X13)
          & p6(X13)
          & ! [X14] :
              ( ~ r1(X13,X14)
              | p6(X14) )
          & ~ p5(X13)
          & ~ p6(X13)
          & p5(X13)
          & ! [X15] :
              ( ~ r1(X13,X15)
              | p5(X15) )
          & p5(X13) )
      | ~ sP22(X0) ),
    introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).

fof(f30,definition,
    ! [X0] :
      ( ? [X5] :
          ( r1(X0,X5)
          & sP21(X5)
          & ~ p6(X5)
          & p5(X5)
          & ! [X8] :
              ( ~ r1(X5,X8)
              | p5(X8) )
          & p5(X5) )
      | ~ sP23(X0) ),
    introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).

fof(f31,definition,
    ! [X0] :
      ( ? [X9] :
          ( r1(X0,X9)
          & p6(X9)
          & ! [X10] :
              ( ~ r1(X9,X10)
              | p6(X10) )
          & ~ p5(X9)
          & sP20(X9) )
      | ~ sP24(X0) ),
    introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).

fof(f32,plain,
    ? [X0] :
      ( ( ! [X1] :
            ( ~ r1(X0,X1)
            | ~ p6(X1)
            | ? [X2] :
                ( r1(X1,X2)
                & ~ p6(X2) )
            | p5(X1) )
        | ! [X3] :
            ( ~ r1(X0,X3)
            | p6(X3)
            | ~ p5(X3)
            | ? [X4] :
                ( r1(X3,X4)
                & ~ p5(X4) )
            | ~ p5(X3) )
        | sP23(X0)
        | sP24(X0)
        | sP22(X0) )
      & ( ! [X16] :
            ( ~ r1(X0,X16)
            | ~ p5(X16)
            | ? [X17] :
                ( r1(X16,X17)
                & ~ p5(X17) )
            | p4(X16) )
        | ! [X18] :
            ( ~ r1(X0,X18)
            | p5(X18)
            | ~ p4(X18)
            | ? [X19] :
                ( r1(X18,X19)
                & ~ p4(X19) )
            | ~ p4(X18) )
        | sP18(X0)
        | sP19(X0)
        | sP17(X0) )
      & ( ! [X31] :
            ( ~ r1(X0,X31)
            | ~ p4(X31)
            | ? [X32] :
                ( r1(X31,X32)
                & ~ p4(X32) )
            | p3(X31) )
        | ! [X33] :
            ( ~ r1(X0,X33)
            | p4(X33)
            | ~ p3(X33)
            | ? [X34] :
                ( r1(X33,X34)
                & ~ p3(X34) )
            | ~ p3(X33) )
        | sP13(X0)
        | sP14(X0)
        | sP12(X0) )
      & ( ! [X46] :
            ( ~ r1(X0,X46)
            | ~ p3(X46)
            | ? [X47] :
                ( r1(X46,X47)
                & ~ p3(X47) )
            | p2(X46) )
        | ! [X48] :
            ( ~ r1(X0,X48)
            | p3(X48)
            | ~ p2(X48)
            | ? [X49] :
                ( r1(X48,X49)
                & ~ p2(X49) )
            | ~ p2(X48) )
        | sP8(X0)
        | sP9(X0)
        | sP7(X0) )
      & ? [X61] :
          ( r1(X0,X61)
          & ~ p5(X61)
          & ! [X62] :
              ( ~ r1(X61,X62)
              | p5(X62) )
          & p5(X61) )
      & ? [X63] :
          ( r1(X0,X63)
          & ~ p5(X63)
          & ! [X64] :
              ( ~ r1(X63,X64)
              | p5(X64) )
          & p5(X63) )
      & ( ! [X65] :
            ( ~ r1(X0,X65)
            | ~ p2(X65)
            | ? [X66] :
                ( r1(X65,X66)
                & ~ p2(X66) )
            | p1(X65) )
        | ! [X67] :
            ( ~ r1(X0,X67)
            | p2(X67)
            | ~ p1(X67)
            | ? [X68] :
                ( r1(X67,X68)
                & ~ p1(X68) )
            | ~ p1(X67) )
        | sP3(X0)
        | sP4(X0)
        | sP2(X0) ) ),
    inference(definition_folding,[],[f6,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).

fof(f108,plain,
    ? [X0] :
      ( ( ! [X1] :
            ( ~ r1(X0,X1)
            | ~ p6(X1)
            | ? [X2] :
                ( r1(X1,X2)
                & ~ p6(X2) )
            | p5(X1) )
        | ! [X3] :
            ( ~ r1(X0,X3)
            | p6(X3)
            | ~ p5(X3)
            | ? [X4] :
                ( r1(X3,X4)
                & ~ p5(X4) )
            | ~ p5(X3) )
        | sP23(X0)
        | sP24(X0)
        | sP22(X0) )
      & ( ! [X5] :
            ( ~ r1(X0,X5)
            | ~ p5(X5)
            | ? [X6] :
                ( r1(X5,X6)
                & ~ p5(X6) )
            | p4(X5) )
        | ! [X7] :
            ( ~ r1(X0,X7)
            | p5(X7)
            | ~ p4(X7)
            | ? [X8] :
                ( r1(X7,X8)
                & ~ p4(X8) )
            | ~ p4(X7) )
        | sP18(X0)
        | sP19(X0)
        | sP17(X0) )
      & ( ! [X9] :
            ( ~ r1(X0,X9)
            | ~ p4(X9)
            | ? [X10] :
                ( r1(X9,X10)
                & ~ p4(X10) )
            | p3(X9) )
        | ! [X11] :
            ( ~ r1(X0,X11)
            | p4(X11)
            | ~ p3(X11)
            | ? [X12] :
                ( r1(X11,X12)
                & ~ p3(X12) )
            | ~ p3(X11) )
        | sP13(X0)
        | sP14(X0)
        | sP12(X0) )
      & ( ! [X13] :
            ( ~ r1(X0,X13)
            | ~ p3(X13)
            | ? [X14] :
                ( r1(X13,X14)
                & ~ p3(X14) )
            | p2(X13) )
        | ! [X15] :
            ( ~ r1(X0,X15)
            | p3(X15)
            | ~ p2(X15)
            | ? [X16] :
                ( r1(X15,X16)
                & ~ p2(X16) )
            | ~ p2(X15) )
        | sP8(X0)
        | sP9(X0)
        | sP7(X0) )
      & ? [X17] :
          ( r1(X0,X17)
          & ~ p5(X17)
          & ! [X18] :
              ( ~ r1(X17,X18)
              | p5(X18) )
          & p5(X17) )
      & ? [X19] :
          ( r1(X0,X19)
          & ~ p5(X19)
          & ! [X20] :
              ( ~ r1(X19,X20)
              | p5(X20) )
          & p5(X19) )
      & ( ! [X21] :
            ( ~ r1(X0,X21)
            | ~ p2(X21)
            | ? [X22] :
                ( r1(X21,X22)
                & ~ p2(X22) )
            | p1(X21) )
        | ! [X23] :
            ( ~ r1(X0,X23)
            | p2(X23)
            | ~ p1(X23)
            | ? [X24] :
                ( r1(X23,X24)
                & ~ p1(X24) )
            | ~ p1(X23) )
        | sP3(X0)
        | sP4(X0)
        | sP2(X0) ) ),
    inference(rectify,[],[f32]) ).

fof(f109,plain,
    ( ( ! [X1] :
          ( ~ r1(sK50,X1)
          | ~ p6(X1)
          | ( r1(X1,sK51(X1))
            & ~ p6(sK51(X1)) )
          | p5(X1) )
      | ! [X3] :
          ( ~ r1(sK50,X3)
          | p6(X3)
          | ~ p5(X3)
          | ( r1(X3,sK52(X3))
            & ~ p5(sK52(X3)) )
          | ~ p5(X3) )
      | sP23(sK50)
      | sP24(sK50)
      | sP22(sK50) )
    & ( ! [X5] :
          ( ~ r1(sK50,X5)
          | ~ p5(X5)
          | ( r1(X5,sK53(X5))
            & ~ p5(sK53(X5)) )
          | p4(X5) )
      | ! [X7] :
          ( ~ r1(sK50,X7)
          | p5(X7)
          | ~ p4(X7)
          | ( r1(X7,sK54(X7))
            & ~ p4(sK54(X7)) )
          | ~ p4(X7) )
      | sP18(sK50)
      | sP19(sK50)
      | sP17(sK50) )
    & ( ! [X9] :
          ( ~ r1(sK50,X9)
          | ~ p4(X9)
          | ( r1(X9,sK55(X9))
            & ~ p4(sK55(X9)) )
          | p3(X9) )
      | ! [X11] :
          ( ~ r1(sK50,X11)
          | p4(X11)
          | ~ p3(X11)
          | ( r1(X11,sK56(X11))
            & ~ p3(sK56(X11)) )
          | ~ p3(X11) )
      | sP13(sK50)
      | sP14(sK50)
      | sP12(sK50) )
    & ( ! [X13] :
          ( ~ r1(sK50,X13)
          | ~ p3(X13)
          | ( r1(X13,sK57(X13))
            & ~ p3(sK57(X13)) )
          | p2(X13) )
      | ! [X15] :
          ( ~ r1(sK50,X15)
          | p3(X15)
          | ~ p2(X15)
          | ( r1(X15,sK58(X15))
            & ~ p2(sK58(X15)) )
          | ~ p2(X15) )
      | sP8(sK50)
      | sP9(sK50)
      | sP7(sK50) )
    & r1(sK50,sK59)
    & ~ p5(sK59)
    & ! [X18] :
        ( ~ r1(sK59,X18)
        | p5(X18) )
    & p5(sK59)
    & r1(sK50,sK60)
    & ~ p5(sK60)
    & ! [X20] :
        ( ~ r1(sK60,X20)
        | p5(X20) )
    & p5(sK60)
    & ( ! [X21] :
          ( ~ r1(sK50,X21)
          | ~ p2(X21)
          | ( r1(X21,sK61(X21))
            & ~ p2(sK61(X21)) )
          | p1(X21) )
      | ! [X23] :
          ( ~ r1(sK50,X23)
          | p2(X23)
          | ~ p1(X23)
          | ( r1(X23,sK62(X23))
            & ~ p1(sK62(X23)) )
          | ~ p1(X23) )
      | sP3(sK50)
      | sP4(sK50)
      | sP2(sK50) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62]),skolemize(X0,sK50),skolemize(X2,sK51(X1)),skolemize(X4,sK52(X3)),skolemize(X6,sK53(X5)),skolemize(X8,sK54(X7)),skolemize(X10,sK55(X9)),skolemize(X12,sK56(X11)),skolemize(X14,sK57(X13)),skolemize(X16,sK58(X15)),skolemize(X17,sK59),skolemize(X19,sK60),skolemize(X22,sK61(X21)),skolemize(X24,sK62(X23))],[f108]) ).

fof(f254,plain,
    p5(sK60),
    inference(cnf_transformation,[],[f109]) ).

fof(f256,plain,
    ~ p5(sK60),
    inference(cnf_transformation,[],[f109]) ).

fof(f298,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f256,f254]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  % Computer : n015.cluster.edu
% 0.10/0.40  % Model    : x86_64 x86_64
% 0.10/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40  % Memory   : 8046.5625MB
% 0.10/0.40  % OS       : Linux 6.8.0-71-generic
% 0.10/0.40  % CPULimit : 300
% 0.10/0.40  % WCLimit  : 300
% 0.10/0.40  % DateTime : Sun Sep 27 16:14:18 UTC 2026
% 0.10/0.40  % CPUTime  : 
% 0.10/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43  Running first-order theorem proving
% 0.10/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.02  % (1830664)Detected formulas, will run a generic FOF schedule.
% 0.36/1.02  % (1830674)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3011448112:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.36/1.02  % (1830673)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2482389538:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.36/1.02  % (1830670)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3543138119:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.36/1.02  % (1830672)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2466790943:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.36/1.02  % (1830675)dis-21_1_sil=8000:lcm=predicate:random_seed=4100521384:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.36/1.02  % (1830671)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3771775964:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.36/1.02  % (1830669)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2318915016:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.36/1.02  % (1830673)First to succeed.
% 0.36/1.02  % (1830674)Also succeeded, but the first one will report.
% 0.36/1.02  % (1830675)Also succeeded, but the first one will report.
% 0.36/1.02  % (1830673)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1830664"
% 0.36/1.02  % (1830672)Also succeeded, but the first one will report.
% 0.36/1.02  % (1830673)Refutation found. Thanks to Tanya!
% 0.36/1.02  % SZS status Theorem for theBenchmark
% 0.36/1.02  % SZS output start Proof for theBenchmark
% See solution above
% 3.16/1.22  % (1830673)------------------------------
% 3.16/1.22  % (1830673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.22  % (1830673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.22  % (1830673)CaDiCaL version: 2.1.3
% 3.16/1.22  % (1830673)Termination reason: Refutation
% 3.16/1.22  % (1830673)Time elapsed: 0.006 s
% 3.16/1.22  % (1830673)Peak memory usage: 88 MB
% 3.16/1.22  % (1830673)Instructions burned: 11 (million)
% 3.16/1.22  % (1830673)------------------------------
% 3.16/1.22  % (1830673)------------------------------
% 3.16/1.22  % (1830664)Success in time 0.388 s
% 3.16/1.22  % Vampire exiting
%------------------------------------------------------------------------------