↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL638+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 11:53:41 AM UTC 2026

% Result   : Theorem 14.61s 3.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   60 (  15 unt;   3 def)
%            Number of atoms       : 1957 (   0 equ)
%            Maximal formula atoms :  225 (  32 avg)
%            Number of connectives : 3873 (1976   ~;1542   |; 352   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   75 (  13 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   56 (  56 usr;  26 con; 0-1 aty)
%            Number of variables   : 1409 (   0 sgn1292   !; 117   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ? [X0] :
        ~ ( ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ( ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | p1(X1) ) )
                                    & ~ p1(X1) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ( ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | ~ p1(X1) ) )
                                    & p1(X1) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ( ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ! [X1] :
                                              ( ~ r1(X0,X1)
                                              | ~ ! [X0] :
                                                    ( ~ r1(X1,X0)
                                                    | ~ p1(X0) ) ) )
                                    & ! [X0] :
                                        ( ~ r1(X1,X0)
                                        | ~ ! [X1] :
                                              ( ~ r1(X0,X1)
                                              | ~ p1(X1) ) ) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ( ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ! [X1] :
                                              ( ~ r1(X0,X1)
                                              | p1(X1) ) )
                                    & ! [X0] :
                                        ( ~ r1(X1,X0)
                                        | p1(X0) ) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | $false ) ) ) ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | p1(X0) ) )
                                & ~ p1(X0) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ p1(X0) ) )
                                & p1(X0) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | ~ p1(X1) ) ) )
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ p1(X0) ) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | p1(X0) ) )
                                & ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | p1(X1) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | $false ) ) ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | p1(X1) ) )
                            & ~ p1(X1) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ p1(X1) ) )
                            & p1(X1) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ p1(X0) ) ) )
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ p1(X1) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(X1) ) )
                            & ! [X0] :
                                ( ~ r1(X1,X0)
                                | p1(X0) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ! [X0] :
                              ( ~ r1(X1,X0)
                              | $false ) ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) )
                        & ~ p1(X0) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ p1(X0) ) )
                        & p1(X0) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ p1(X1) ) ) )
                        & ! [X1] :
                            ( ~ r1(X0,X1)
                            | ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ p1(X0) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | p1(X0) ) )
                        & ! [X1] :
                            ( ~ r1(X0,X1)
                            | p1(X1) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ! [X1] :
                          ( ~ r1(X0,X1)
                          | $false ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1) ) )
                    & ~ p1(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ p1(X1) ) )
                    & p1(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ p1(X0) ) ) )
                    & ! [X0] :
                        ( ~ r1(X1,X0)
                        | ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ p1(X1) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1) ) )
                    & ! [X0] :
                        ( ~ r1(X1,X0)
                        | p1(X0) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ! [X0] :
                      ( ~ r1(X1,X0)
                      | $false ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ~ ( ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ ! [X1] :
                                                  ( ~ r1(X0,X1)
                                                  | p1(X1) ) )
                                      & ~ p1(X1) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ~ ( ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ ! [X1] :
                                                  ( ~ r1(X0,X1)
                                                  | ~ p1(X1) ) )
                                      & p1(X1) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ~ ( ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | ~ ! [X0] :
                                                      ( ~ r1(X1,X0)
                                                      | ~ p1(X0) ) ) )
                                      & ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | ~ p1(X1) ) ) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ~ ( ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | p1(X1) ) )
                                      & ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | p1(X0) ) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ~ ! [X0] :
                                        ( ~ r1(X1,X0)
                                        | $false ) ) ) ) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | p1(X0) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ~ ( ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ ! [X0] :
                                              ( ~ r1(X1,X0)
                                              | p1(X0) ) )
                                  & ~ p1(X0) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ~ ( ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ ! [X0] :
                                              ( ~ r1(X1,X0)
                                              | ~ p1(X0) ) )
                                  & p1(X0) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ~ ( ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ ! [X1] :
                                                  ( ~ r1(X0,X1)
                                                  | ~ p1(X1) ) ) )
                                  & ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ p1(X0) ) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ~ ( ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | p1(X0) ) )
                                  & ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(X1) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ! [X0] :
                              ( ~ r1(X1,X0)
                              | ~ ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | $false ) ) ) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | p1(X0) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ~ ( ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ ! [X1] :
                                          ( ~ r1(X0,X1)
                                          | p1(X1) ) )
                              & ~ p1(X1) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ~ ( ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ ! [X1] :
                                          ( ~ r1(X0,X1)
                                          | ~ p1(X1) ) )
                              & p1(X1) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ~ ( ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ ! [X0] :
                                              ( ~ r1(X1,X0)
                                              | ~ p1(X0) ) ) )
                              & ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ p1(X1) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ~ ( ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | p1(X1) ) )
                              & ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | p1(X0) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ~ ! [X0] :
                                ( ~ r1(X1,X0)
                                | $false ) ) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | p1(X0) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ ( ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | p1(X0) ) )
                          & ~ p1(X0) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ ( ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | ~ p1(X0) ) )
                          & p1(X0) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ ( ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ ! [X1] :
                                          ( ~ r1(X0,X1)
                                          | ~ p1(X1) ) ) )
                          & ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ p1(X0) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ ( ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) )
                          & ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ ! [X1] :
                            ( ~ r1(X0,X1)
                            | $false ) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | p1(X0) ) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( ~ ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | p1(X1) ) )
                      & ~ p1(X1) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( ~ ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ~ p1(X1) ) )
                      & p1(X1) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( ~ ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | ~ p1(X0) ) ) )
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ p1(X1) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( ~ ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1) ) )
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p1(X0) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ! [X0] :
                        ( ~ r1(X1,X0)
                        | $false ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | p1(X0) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X3] :
                          ( ~ r1(X2,X3)
                          | ! [X4] :
                              ( ~ r1(X3,X4)
                              | ! [X5] :
                                  ( ~ r1(X4,X5)
                                  | ~ ( ~ ! [X6] :
                                            ( ~ r1(X5,X6)
                                            | ~ ! [X7] :
                                                  ( ~ r1(X6,X7)
                                                  | p1(X7) ) )
                                      & ~ p1(X5) ) ) ) ) ) )
            | ~ ! [X8] :
                  ( ~ r1(X0,X8)
                  | ! [X9] :
                      ( ~ r1(X8,X9)
                      | ! [X10] :
                          ( ~ r1(X9,X10)
                          | ! [X11] :
                              ( ~ r1(X10,X11)
                              | ! [X12] :
                                  ( ~ r1(X11,X12)
                                  | ~ ( ~ ! [X13] :
                                            ( ~ r1(X12,X13)
                                            | ~ ! [X14] :
                                                  ( ~ r1(X13,X14)
                                                  | ~ p1(X14) ) )
                                      & p1(X12) ) ) ) ) ) )
            | ~ ! [X15] :
                  ( ~ r1(X0,X15)
                  | ! [X16] :
                      ( ~ r1(X15,X16)
                      | ! [X17] :
                          ( ~ r1(X16,X17)
                          | ! [X18] :
                              ( ~ r1(X17,X18)
                              | ! [X19] :
                                  ( ~ r1(X18,X19)
                                  | ~ ( ~ ! [X20] :
                                            ( ~ r1(X19,X20)
                                            | ! [X21] :
                                                ( ~ r1(X20,X21)
                                                | ~ ! [X22] :
                                                      ( ~ r1(X21,X22)
                                                      | ~ p1(X22) ) ) )
                                      & ! [X23] :
                                          ( ~ r1(X19,X23)
                                          | ~ ! [X24] :
                                                ( ~ r1(X23,X24)
                                                | ~ p1(X24) ) ) ) ) ) ) ) )
            | ~ ! [X25] :
                  ( ~ r1(X0,X25)
                  | ! [X26] :
                      ( ~ r1(X25,X26)
                      | ! [X27] :
                          ( ~ r1(X26,X27)
                          | ! [X28] :
                              ( ~ r1(X27,X28)
                              | ! [X29] :
                                  ( ~ r1(X28,X29)
                                  | ~ ( ~ ! [X30] :
                                            ( ~ r1(X29,X30)
                                            | ! [X31] :
                                                ( ~ r1(X30,X31)
                                                | p1(X31) ) )
                                      & ! [X32] :
                                          ( ~ r1(X29,X32)
                                          | p1(X32) ) ) ) ) ) ) )
            | ~ ! [X33] :
                  ( ~ r1(X0,X33)
                  | ! [X34] :
                      ( ~ r1(X33,X34)
                      | ! [X35] :
                          ( ~ r1(X34,X35)
                          | ! [X36] :
                              ( ~ r1(X35,X36)
                              | ! [X37] :
                                  ( ~ r1(X36,X37)
                                  | ~ ! [X38] :
                                        ( ~ r1(X37,X38)
                                        | $false ) ) ) ) ) )
            | ! [X39] :
                ( ~ r1(X0,X39)
                | ! [X40] :
                    ( ~ r1(X39,X40)
                    | ! [X41] :
                        ( ~ r1(X40,X41)
                        | ! [X42] :
                            ( ~ r1(X41,X42)
                            | ! [X43] :
                                ( ~ r1(X42,X43)
                                | p1(X43)
                                | ~ ! [X44] :
                                      ( ~ r1(X43,X44)
                                      | p1(X44) ) ) ) ) ) )
            | ~ ! [X45] :
                  ( ~ r1(X0,X45)
                  | ! [X46] :
                      ( ~ r1(X45,X46)
                      | ! [X47] :
                          ( ~ r1(X46,X47)
                          | ! [X48] :
                              ( ~ r1(X47,X48)
                              | ~ ( ~ ! [X49] :
                                        ( ~ r1(X48,X49)
                                        | ~ ! [X50] :
                                              ( ~ r1(X49,X50)
                                              | p1(X50) ) )
                                  & ~ p1(X48) ) ) ) ) )
            | ~ ! [X51] :
                  ( ~ r1(X0,X51)
                  | ! [X52] :
                      ( ~ r1(X51,X52)
                      | ! [X53] :
                          ( ~ r1(X52,X53)
                          | ! [X54] :
                              ( ~ r1(X53,X54)
                              | ~ ( ~ ! [X55] :
                                        ( ~ r1(X54,X55)
                                        | ~ ! [X56] :
                                              ( ~ r1(X55,X56)
                                              | ~ p1(X56) ) )
                                  & p1(X54) ) ) ) ) )
            | ~ ! [X57] :
                  ( ~ r1(X0,X57)
                  | ! [X58] :
                      ( ~ r1(X57,X58)
                      | ! [X59] :
                          ( ~ r1(X58,X59)
                          | ! [X60] :
                              ( ~ r1(X59,X60)
                              | ~ ( ~ ! [X61] :
                                        ( ~ r1(X60,X61)
                                        | ! [X62] :
                                            ( ~ r1(X61,X62)
                                            | ~ ! [X63] :
                                                  ( ~ r1(X62,X63)
                                                  | ~ p1(X63) ) ) )
                                  & ! [X64] :
                                      ( ~ r1(X60,X64)
                                      | ~ ! [X65] :
                                            ( ~ r1(X64,X65)
                                            | ~ p1(X65) ) ) ) ) ) ) )
            | ~ ! [X66] :
                  ( ~ r1(X0,X66)
                  | ! [X67] :
                      ( ~ r1(X66,X67)
                      | ! [X68] :
                          ( ~ r1(X67,X68)
                          | ! [X69] :
                              ( ~ r1(X68,X69)
                              | ~ ( ~ ! [X70] :
                                        ( ~ r1(X69,X70)
                                        | ! [X71] :
                                            ( ~ r1(X70,X71)
                                            | p1(X71) ) )
                                  & ! [X72] :
                                      ( ~ r1(X69,X72)
                                      | p1(X72) ) ) ) ) ) )
            | ~ ! [X73] :
                  ( ~ r1(X0,X73)
                  | ! [X74] :
                      ( ~ r1(X73,X74)
                      | ! [X75] :
                          ( ~ r1(X74,X75)
                          | ! [X76] :
                              ( ~ r1(X75,X76)
                              | ~ ! [X77] :
                                    ( ~ r1(X76,X77)
                                    | $false ) ) ) ) )
            | ! [X78] :
                ( ~ r1(X0,X78)
                | ! [X79] :
                    ( ~ r1(X78,X79)
                    | ! [X80] :
                        ( ~ r1(X79,X80)
                        | ! [X81] :
                            ( ~ r1(X80,X81)
                            | ! [X82] :
                                ( ~ r1(X81,X82)
                                | p1(X82)
                                | ~ ! [X83] :
                                      ( ~ r1(X82,X83)
                                      | p1(X83) ) ) ) ) ) )
            | ~ ! [X84] :
                  ( ~ r1(X0,X84)
                  | ! [X85] :
                      ( ~ r1(X84,X85)
                      | ! [X86] :
                          ( ~ r1(X85,X86)
                          | ~ ( ~ ! [X87] :
                                    ( ~ r1(X86,X87)
                                    | ~ ! [X88] :
                                          ( ~ r1(X87,X88)
                                          | p1(X88) ) )
                              & ~ p1(X86) ) ) ) )
            | ~ ! [X89] :
                  ( ~ r1(X0,X89)
                  | ! [X90] :
                      ( ~ r1(X89,X90)
                      | ! [X91] :
                          ( ~ r1(X90,X91)
                          | ~ ( ~ ! [X92] :
                                    ( ~ r1(X91,X92)
                                    | ~ ! [X93] :
                                          ( ~ r1(X92,X93)
                                          | ~ p1(X93) ) )
                              & p1(X91) ) ) ) )
            | ~ ! [X94] :
                  ( ~ r1(X0,X94)
                  | ! [X95] :
                      ( ~ r1(X94,X95)
                      | ! [X96] :
                          ( ~ r1(X95,X96)
                          | ~ ( ~ ! [X97] :
                                    ( ~ r1(X96,X97)
                                    | ! [X98] :
                                        ( ~ r1(X97,X98)
                                        | ~ ! [X99] :
                                              ( ~ r1(X98,X99)
                                              | ~ p1(X99) ) ) )
                              & ! [X100] :
                                  ( ~ r1(X96,X100)
                                  | ~ ! [X101] :
                                        ( ~ r1(X100,X101)
                                        | ~ p1(X101) ) ) ) ) ) )
            | ~ ! [X102] :
                  ( ~ r1(X0,X102)
                  | ! [X103] :
                      ( ~ r1(X102,X103)
                      | ! [X104] :
                          ( ~ r1(X103,X104)
                          | ~ ( ~ ! [X105] :
                                    ( ~ r1(X104,X105)
                                    | ! [X106] :
                                        ( ~ r1(X105,X106)
                                        | p1(X106) ) )
                              & ! [X107] :
                                  ( ~ r1(X104,X107)
                                  | p1(X107) ) ) ) ) )
            | ~ ! [X108] :
                  ( ~ r1(X0,X108)
                  | ! [X109] :
                      ( ~ r1(X108,X109)
                      | ! [X110] :
                          ( ~ r1(X109,X110)
                          | ~ ! [X111] :
                                ( ~ r1(X110,X111)
                                | $false ) ) ) )
            | ! [X112] :
                ( ~ r1(X0,X112)
                | ! [X113] :
                    ( ~ r1(X112,X113)
                    | ! [X114] :
                        ( ~ r1(X113,X114)
                        | ! [X115] :
                            ( ~ r1(X114,X115)
                            | ! [X116] :
                                ( ~ r1(X115,X116)
                                | p1(X116)
                                | ~ ! [X117] :
                                      ( ~ r1(X116,X117)
                                      | p1(X117) ) ) ) ) ) )
            | ~ ! [X118] :
                  ( ~ r1(X0,X118)
                  | ! [X119] :
                      ( ~ r1(X118,X119)
                      | ~ ( ~ ! [X120] :
                                ( ~ r1(X119,X120)
                                | ~ ! [X121] :
                                      ( ~ r1(X120,X121)
                                      | p1(X121) ) )
                          & ~ p1(X119) ) ) )
            | ~ ! [X122] :
                  ( ~ r1(X0,X122)
                  | ! [X123] :
                      ( ~ r1(X122,X123)
                      | ~ ( ~ ! [X124] :
                                ( ~ r1(X123,X124)
                                | ~ ! [X125] :
                                      ( ~ r1(X124,X125)
                                      | ~ p1(X125) ) )
                          & p1(X123) ) ) )
            | ~ ! [X126] :
                  ( ~ r1(X0,X126)
                  | ! [X127] :
                      ( ~ r1(X126,X127)
                      | ~ ( ~ ! [X128] :
                                ( ~ r1(X127,X128)
                                | ! [X129] :
                                    ( ~ r1(X128,X129)
                                    | ~ ! [X130] :
                                          ( ~ r1(X129,X130)
                                          | ~ p1(X130) ) ) )
                          & ! [X131] :
                              ( ~ r1(X127,X131)
                              | ~ ! [X132] :
                                    ( ~ r1(X131,X132)
                                    | ~ p1(X132) ) ) ) ) )
            | ~ ! [X133] :
                  ( ~ r1(X0,X133)
                  | ! [X134] :
                      ( ~ r1(X133,X134)
                      | ~ ( ~ ! [X135] :
                                ( ~ r1(X134,X135)
                                | ! [X136] :
                                    ( ~ r1(X135,X136)
                                    | p1(X136) ) )
                          & ! [X137] :
                              ( ~ r1(X134,X137)
                              | p1(X137) ) ) ) )
            | ~ ! [X138] :
                  ( ~ r1(X0,X138)
                  | ! [X139] :
                      ( ~ r1(X138,X139)
                      | ~ ! [X140] :
                            ( ~ r1(X139,X140)
                            | $false ) ) )
            | ! [X141] :
                ( ~ r1(X0,X141)
                | ! [X142] :
                    ( ~ r1(X141,X142)
                    | ! [X143] :
                        ( ~ r1(X142,X143)
                        | ! [X144] :
                            ( ~ r1(X143,X144)
                            | ! [X145] :
                                ( ~ r1(X144,X145)
                                | p1(X145)
                                | ~ ! [X146] :
                                      ( ~ r1(X145,X146)
                                      | p1(X146) ) ) ) ) ) )
            | ~ ! [X147] :
                  ( ~ r1(X0,X147)
                  | ~ ( ~ ! [X148] :
                            ( ~ r1(X147,X148)
                            | ~ ! [X149] :
                                  ( ~ r1(X148,X149)
                                  | p1(X149) ) )
                      & ~ p1(X147) ) )
            | ~ ! [X150] :
                  ( ~ r1(X0,X150)
                  | ~ ( ~ ! [X151] :
                            ( ~ r1(X150,X151)
                            | ~ ! [X152] :
                                  ( ~ r1(X151,X152)
                                  | ~ p1(X152) ) )
                      & p1(X150) ) )
            | ~ ! [X153] :
                  ( ~ r1(X0,X153)
                  | ~ ( ~ ! [X154] :
                            ( ~ r1(X153,X154)
                            | ! [X155] :
                                ( ~ r1(X154,X155)
                                | ~ ! [X156] :
                                      ( ~ r1(X155,X156)
                                      | ~ p1(X156) ) ) )
                      & ! [X157] :
                          ( ~ r1(X153,X157)
                          | ~ ! [X158] :
                                ( ~ r1(X157,X158)
                                | ~ p1(X158) ) ) ) )
            | ~ ! [X159] :
                  ( ~ r1(X0,X159)
                  | ~ ( ~ ! [X160] :
                            ( ~ r1(X159,X160)
                            | ! [X161] :
                                ( ~ r1(X160,X161)
                                | p1(X161) ) )
                      & ! [X162] :
                          ( ~ r1(X159,X162)
                          | p1(X162) ) ) )
            | ~ ! [X163] :
                  ( ~ r1(X0,X163)
                  | ~ ! [X164] :
                        ( ~ r1(X163,X164)
                        | $false ) )
            | ! [X165] :
                ( ~ r1(X0,X165)
                | ! [X166] :
                    ( ~ r1(X165,X166)
                    | ! [X167] :
                        ( ~ r1(X166,X167)
                        | ! [X168] :
                            ( ~ r1(X167,X168)
                            | ! [X169] :
                                ( ~ r1(X168,X169)
                                | p1(X169)
                                | ~ ! [X170] :
                                      ( ~ r1(X169,X170)
                                      | p1(X170) ) ) ) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X3] :
                          ( ~ r1(X2,X3)
                          | ! [X4] :
                              ( ~ r1(X3,X4)
                              | ! [X5] :
                                  ( ~ r1(X4,X5)
                                  | ~ ( ~ ! [X6] :
                                            ( ~ r1(X5,X6)
                                            | ~ ! [X7] :
                                                  ( ~ r1(X6,X7)
                                                  | p1(X7) ) )
                                      & ~ p1(X5) ) ) ) ) ) )
            | ~ ! [X8] :
                  ( ~ r1(X0,X8)
                  | ! [X9] :
                      ( ~ r1(X8,X9)
                      | ! [X10] :
                          ( ~ r1(X9,X10)
                          | ! [X11] :
                              ( ~ r1(X10,X11)
                              | ! [X12] :
                                  ( ~ r1(X11,X12)
                                  | ~ ( ~ ! [X13] :
                                            ( ~ r1(X12,X13)
                                            | ~ ! [X14] :
                                                  ( ~ r1(X13,X14)
                                                  | ~ p1(X14) ) )
                                      & p1(X12) ) ) ) ) ) )
            | ~ ! [X15] :
                  ( ~ r1(X0,X15)
                  | ! [X16] :
                      ( ~ r1(X15,X16)
                      | ! [X17] :
                          ( ~ r1(X16,X17)
                          | ! [X18] :
                              ( ~ r1(X17,X18)
                              | ! [X19] :
                                  ( ~ r1(X18,X19)
                                  | ~ ( ~ ! [X20] :
                                            ( ~ r1(X19,X20)
                                            | ! [X21] :
                                                ( ~ r1(X20,X21)
                                                | ~ ! [X22] :
                                                      ( ~ r1(X21,X22)
                                                      | ~ p1(X22) ) ) )
                                      & ! [X23] :
                                          ( ~ r1(X19,X23)
                                          | ~ ! [X24] :
                                                ( ~ r1(X23,X24)
                                                | ~ p1(X24) ) ) ) ) ) ) ) )
            | ~ ! [X25] :
                  ( ~ r1(X0,X25)
                  | ! [X26] :
                      ( ~ r1(X25,X26)
                      | ! [X27] :
                          ( ~ r1(X26,X27)
                          | ! [X28] :
                              ( ~ r1(X27,X28)
                              | ! [X29] :
                                  ( ~ r1(X28,X29)
                                  | ~ ( ~ ! [X30] :
                                            ( ~ r1(X29,X30)
                                            | ! [X31] :
                                                ( ~ r1(X30,X31)
                                                | p1(X31) ) )
                                      & ! [X32] :
                                          ( ~ r1(X29,X32)
                                          | p1(X32) ) ) ) ) ) ) )
            | ~ ! [X33] :
                  ( ~ r1(X0,X33)
                  | ! [X34] :
                      ( ~ r1(X33,X34)
                      | ! [X35] :
                          ( ~ r1(X34,X35)
                          | ! [X36] :
                              ( ~ r1(X35,X36)
                              | ! [X37] :
                                  ( ~ r1(X36,X37)
                                  | ~ ! [X38] : ~ r1(X37,X38) ) ) ) ) )
            | ! [X39] :
                ( ~ r1(X0,X39)
                | ! [X40] :
                    ( ~ r1(X39,X40)
                    | ! [X41] :
                        ( ~ r1(X40,X41)
                        | ! [X42] :
                            ( ~ r1(X41,X42)
                            | ! [X43] :
                                ( ~ r1(X42,X43)
                                | p1(X43)
                                | ~ ! [X44] :
                                      ( ~ r1(X43,X44)
                                      | p1(X44) ) ) ) ) ) )
            | ~ ! [X45] :
                  ( ~ r1(X0,X45)
                  | ! [X46] :
                      ( ~ r1(X45,X46)
                      | ! [X47] :
                          ( ~ r1(X46,X47)
                          | ! [X48] :
                              ( ~ r1(X47,X48)
                              | ~ ( ~ ! [X49] :
                                        ( ~ r1(X48,X49)
                                        | ~ ! [X50] :
                                              ( ~ r1(X49,X50)
                                              | p1(X50) ) )
                                  & ~ p1(X48) ) ) ) ) )
            | ~ ! [X51] :
                  ( ~ r1(X0,X51)
                  | ! [X52] :
                      ( ~ r1(X51,X52)
                      | ! [X53] :
                          ( ~ r1(X52,X53)
                          | ! [X54] :
                              ( ~ r1(X53,X54)
                              | ~ ( ~ ! [X55] :
                                        ( ~ r1(X54,X55)
                                        | ~ ! [X56] :
                                              ( ~ r1(X55,X56)
                                              | ~ p1(X56) ) )
                                  & p1(X54) ) ) ) ) )
            | ~ ! [X57] :
                  ( ~ r1(X0,X57)
                  | ! [X58] :
                      ( ~ r1(X57,X58)
                      | ! [X59] :
                          ( ~ r1(X58,X59)
                          | ! [X60] :
                              ( ~ r1(X59,X60)
                              | ~ ( ~ ! [X61] :
                                        ( ~ r1(X60,X61)
                                        | ! [X62] :
                                            ( ~ r1(X61,X62)
                                            | ~ ! [X63] :
                                                  ( ~ r1(X62,X63)
                                                  | ~ p1(X63) ) ) )
                                  & ! [X64] :
                                      ( ~ r1(X60,X64)
                                      | ~ ! [X65] :
                                            ( ~ r1(X64,X65)
                                            | ~ p1(X65) ) ) ) ) ) ) )
            | ~ ! [X66] :
                  ( ~ r1(X0,X66)
                  | ! [X67] :
                      ( ~ r1(X66,X67)
                      | ! [X68] :
                          ( ~ r1(X67,X68)
                          | ! [X69] :
                              ( ~ r1(X68,X69)
                              | ~ ( ~ ! [X70] :
                                        ( ~ r1(X69,X70)
                                        | ! [X71] :
                                            ( ~ r1(X70,X71)
                                            | p1(X71) ) )
                                  & ! [X72] :
                                      ( ~ r1(X69,X72)
                                      | p1(X72) ) ) ) ) ) )
            | ~ ! [X73] :
                  ( ~ r1(X0,X73)
                  | ! [X74] :
                      ( ~ r1(X73,X74)
                      | ! [X75] :
                          ( ~ r1(X74,X75)
                          | ! [X76] :
                              ( ~ r1(X75,X76)
                              | ~ ! [X77] : ~ r1(X76,X77) ) ) ) )
            | ! [X78] :
                ( ~ r1(X0,X78)
                | ! [X79] :
                    ( ~ r1(X78,X79)
                    | ! [X80] :
                        ( ~ r1(X79,X80)
                        | ! [X81] :
                            ( ~ r1(X80,X81)
                            | ! [X82] :
                                ( ~ r1(X81,X82)
                                | p1(X82)
                                | ~ ! [X83] :
                                      ( ~ r1(X82,X83)
                                      | p1(X83) ) ) ) ) ) )
            | ~ ! [X84] :
                  ( ~ r1(X0,X84)
                  | ! [X85] :
                      ( ~ r1(X84,X85)
                      | ! [X86] :
                          ( ~ r1(X85,X86)
                          | ~ ( ~ ! [X87] :
                                    ( ~ r1(X86,X87)
                                    | ~ ! [X88] :
                                          ( ~ r1(X87,X88)
                                          | p1(X88) ) )
                              & ~ p1(X86) ) ) ) )
            | ~ ! [X89] :
                  ( ~ r1(X0,X89)
                  | ! [X90] :
                      ( ~ r1(X89,X90)
                      | ! [X91] :
                          ( ~ r1(X90,X91)
                          | ~ ( ~ ! [X92] :
                                    ( ~ r1(X91,X92)
                                    | ~ ! [X93] :
                                          ( ~ r1(X92,X93)
                                          | ~ p1(X93) ) )
                              & p1(X91) ) ) ) )
            | ~ ! [X94] :
                  ( ~ r1(X0,X94)
                  | ! [X95] :
                      ( ~ r1(X94,X95)
                      | ! [X96] :
                          ( ~ r1(X95,X96)
                          | ~ ( ~ ! [X97] :
                                    ( ~ r1(X96,X97)
                                    | ! [X98] :
                                        ( ~ r1(X97,X98)
                                        | ~ ! [X99] :
                                              ( ~ r1(X98,X99)
                                              | ~ p1(X99) ) ) )
                              & ! [X100] :
                                  ( ~ r1(X96,X100)
                                  | ~ ! [X101] :
                                        ( ~ r1(X100,X101)
                                        | ~ p1(X101) ) ) ) ) ) )
            | ~ ! [X102] :
                  ( ~ r1(X0,X102)
                  | ! [X103] :
                      ( ~ r1(X102,X103)
                      | ! [X104] :
                          ( ~ r1(X103,X104)
                          | ~ ( ~ ! [X105] :
                                    ( ~ r1(X104,X105)
                                    | ! [X106] :
                                        ( ~ r1(X105,X106)
                                        | p1(X106) ) )
                              & ! [X107] :
                                  ( ~ r1(X104,X107)
                                  | p1(X107) ) ) ) ) )
            | ~ ! [X108] :
                  ( ~ r1(X0,X108)
                  | ! [X109] :
                      ( ~ r1(X108,X109)
                      | ! [X110] :
                          ( ~ r1(X109,X110)
                          | ~ ! [X111] : ~ r1(X110,X111) ) ) )
            | ! [X112] :
                ( ~ r1(X0,X112)
                | ! [X113] :
                    ( ~ r1(X112,X113)
                    | ! [X114] :
                        ( ~ r1(X113,X114)
                        | ! [X115] :
                            ( ~ r1(X114,X115)
                            | ! [X116] :
                                ( ~ r1(X115,X116)
                                | p1(X116)
                                | ~ ! [X117] :
                                      ( ~ r1(X116,X117)
                                      | p1(X117) ) ) ) ) ) )
            | ~ ! [X118] :
                  ( ~ r1(X0,X118)
                  | ! [X119] :
                      ( ~ r1(X118,X119)
                      | ~ ( ~ ! [X120] :
                                ( ~ r1(X119,X120)
                                | ~ ! [X121] :
                                      ( ~ r1(X120,X121)
                                      | p1(X121) ) )
                          & ~ p1(X119) ) ) )
            | ~ ! [X122] :
                  ( ~ r1(X0,X122)
                  | ! [X123] :
                      ( ~ r1(X122,X123)
                      | ~ ( ~ ! [X124] :
                                ( ~ r1(X123,X124)
                                | ~ ! [X125] :
                                      ( ~ r1(X124,X125)
                                      | ~ p1(X125) ) )
                          & p1(X123) ) ) )
            | ~ ! [X126] :
                  ( ~ r1(X0,X126)
                  | ! [X127] :
                      ( ~ r1(X126,X127)
                      | ~ ( ~ ! [X128] :
                                ( ~ r1(X127,X128)
                                | ! [X129] :
                                    ( ~ r1(X128,X129)
                                    | ~ ! [X130] :
                                          ( ~ r1(X129,X130)
                                          | ~ p1(X130) ) ) )
                          & ! [X131] :
                              ( ~ r1(X127,X131)
                              | ~ ! [X132] :
                                    ( ~ r1(X131,X132)
                                    | ~ p1(X132) ) ) ) ) )
            | ~ ! [X133] :
                  ( ~ r1(X0,X133)
                  | ! [X134] :
                      ( ~ r1(X133,X134)
                      | ~ ( ~ ! [X135] :
                                ( ~ r1(X134,X135)
                                | ! [X136] :
                                    ( ~ r1(X135,X136)
                                    | p1(X136) ) )
                          & ! [X137] :
                              ( ~ r1(X134,X137)
                              | p1(X137) ) ) ) )
            | ~ ! [X138] :
                  ( ~ r1(X0,X138)
                  | ! [X139] :
                      ( ~ r1(X138,X139)
                      | ~ ! [X140] : ~ r1(X139,X140) ) )
            | ! [X141] :
                ( ~ r1(X0,X141)
                | ! [X142] :
                    ( ~ r1(X141,X142)
                    | ! [X143] :
                        ( ~ r1(X142,X143)
                        | ! [X144] :
                            ( ~ r1(X143,X144)
                            | ! [X145] :
                                ( ~ r1(X144,X145)
                                | p1(X145)
                                | ~ ! [X146] :
                                      ( ~ r1(X145,X146)
                                      | p1(X146) ) ) ) ) ) )
            | ~ ! [X147] :
                  ( ~ r1(X0,X147)
                  | ~ ( ~ ! [X148] :
                            ( ~ r1(X147,X148)
                            | ~ ! [X149] :
                                  ( ~ r1(X148,X149)
                                  | p1(X149) ) )
                      & ~ p1(X147) ) )
            | ~ ! [X150] :
                  ( ~ r1(X0,X150)
                  | ~ ( ~ ! [X151] :
                            ( ~ r1(X150,X151)
                            | ~ ! [X152] :
                                  ( ~ r1(X151,X152)
                                  | ~ p1(X152) ) )
                      & p1(X150) ) )
            | ~ ! [X153] :
                  ( ~ r1(X0,X153)
                  | ~ ( ~ ! [X154] :
                            ( ~ r1(X153,X154)
                            | ! [X155] :
                                ( ~ r1(X154,X155)
                                | ~ ! [X156] :
                                      ( ~ r1(X155,X156)
                                      | ~ p1(X156) ) ) )
                      & ! [X157] :
                          ( ~ r1(X153,X157)
                          | ~ ! [X158] :
                                ( ~ r1(X157,X158)
                                | ~ p1(X158) ) ) ) )
            | ~ ! [X159] :
                  ( ~ r1(X0,X159)
                  | ~ ( ~ ! [X160] :
                            ( ~ r1(X159,X160)
                            | ! [X161] :
                                ( ~ r1(X160,X161)
                                | p1(X161) ) )
                      & ! [X162] :
                          ( ~ r1(X159,X162)
                          | p1(X162) ) ) )
            | ~ ! [X163] :
                  ( ~ r1(X0,X163)
                  | ~ ! [X164] : ~ r1(X163,X164) )
            | ! [X165] :
                ( ~ r1(X0,X165)
                | ! [X166] :
                    ( ~ r1(X165,X166)
                    | ! [X167] :
                        ( ~ r1(X166,X167)
                        | ! [X168] :
                            ( ~ r1(X167,X168)
                            | ! [X169] :
                                ( ~ r1(X168,X169)
                                | p1(X169)
                                | ~ ! [X170] :
                                      ( ~ r1(X169,X170)
                                      | p1(X170) ) ) ) ) ) ) ),
    inference(true_and_false_elimination,[],[f3]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ~ ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X3] :
                      ( ~ r1(X2,X3)
                      | ! [X4] :
                          ( ~ r1(X3,X4)
                          | ! [X5] :
                              ( ~ r1(X4,X5)
                              | ~ ( ~ ! [X6] :
                                        ( ~ r1(X5,X6)
                                        | ~ ! [X7] :
                                              ( ~ r1(X6,X7)
                                              | p1(X7) ) )
                                  & ~ p1(X5) ) ) ) ) ) )
        | ~ ! [X8] :
              ( ~ r1(X0,X8)
              | ! [X9] :
                  ( ~ r1(X8,X9)
                  | ! [X10] :
                      ( ~ r1(X9,X10)
                      | ! [X11] :
                          ( ~ r1(X10,X11)
                          | ! [X12] :
                              ( ~ r1(X11,X12)
                              | ~ ( ~ ! [X13] :
                                        ( ~ r1(X12,X13)
                                        | ~ ! [X14] :
                                              ( ~ r1(X13,X14)
                                              | ~ p1(X14) ) )
                                  & p1(X12) ) ) ) ) ) )
        | ~ ! [X15] :
              ( ~ r1(X0,X15)
              | ! [X16] :
                  ( ~ r1(X15,X16)
                  | ! [X17] :
                      ( ~ r1(X16,X17)
                      | ! [X18] :
                          ( ~ r1(X17,X18)
                          | ! [X19] :
                              ( ~ r1(X18,X19)
                              | ~ ( ~ ! [X20] :
                                        ( ~ r1(X19,X20)
                                        | ! [X21] :
                                            ( ~ r1(X20,X21)
                                            | ~ ! [X22] :
                                                  ( ~ r1(X21,X22)
                                                  | ~ p1(X22) ) ) )
                                  & ! [X23] :
                                      ( ~ r1(X19,X23)
                                      | ~ ! [X24] :
                                            ( ~ r1(X23,X24)
                                            | ~ p1(X24) ) ) ) ) ) ) ) )
        | ~ ! [X25] :
              ( ~ r1(X0,X25)
              | ! [X26] :
                  ( ~ r1(X25,X26)
                  | ! [X27] :
                      ( ~ r1(X26,X27)
                      | ! [X28] :
                          ( ~ r1(X27,X28)
                          | ! [X29] :
                              ( ~ r1(X28,X29)
                              | ~ ( ~ ! [X30] :
                                        ( ~ r1(X29,X30)
                                        | ! [X31] :
                                            ( ~ r1(X30,X31)
                                            | p1(X31) ) )
                                  & ! [X32] :
                                      ( ~ r1(X29,X32)
                                      | p1(X32) ) ) ) ) ) ) )
        | ~ ! [X33] :
              ( ~ r1(X0,X33)
              | ! [X34] :
                  ( ~ r1(X33,X34)
                  | ! [X35] :
                      ( ~ r1(X34,X35)
                      | ! [X36] :
                          ( ~ r1(X35,X36)
                          | ! [X37] :
                              ( ~ r1(X36,X37)
                              | ~ ! [X38] : ~ r1(X37,X38) ) ) ) ) )
        | ! [X39] :
            ( ~ r1(X0,X39)
            | ! [X40] :
                ( ~ r1(X39,X40)
                | ! [X41] :
                    ( ~ r1(X40,X41)
                    | ! [X42] :
                        ( ~ r1(X41,X42)
                        | ! [X43] :
                            ( ~ r1(X42,X43)
                            | p1(X43)
                            | ~ ! [X44] :
                                  ( ~ r1(X43,X44)
                                  | p1(X44) ) ) ) ) ) )
        | ~ ! [X45] :
              ( ~ r1(X0,X45)
              | ! [X46] :
                  ( ~ r1(X45,X46)
                  | ! [X47] :
                      ( ~ r1(X46,X47)
                      | ! [X48] :
                          ( ~ r1(X47,X48)
                          | ~ ( ~ ! [X49] :
                                    ( ~ r1(X48,X49)
                                    | ~ ! [X50] :
                                          ( ~ r1(X49,X50)
                                          | p1(X50) ) )
                              & ~ p1(X48) ) ) ) ) )
        | ~ ! [X51] :
              ( ~ r1(X0,X51)
              | ! [X52] :
                  ( ~ r1(X51,X52)
                  | ! [X53] :
                      ( ~ r1(X52,X53)
                      | ! [X54] :
                          ( ~ r1(X53,X54)
                          | ~ ( ~ ! [X55] :
                                    ( ~ r1(X54,X55)
                                    | ~ ! [X56] :
                                          ( ~ r1(X55,X56)
                                          | ~ p1(X56) ) )
                              & p1(X54) ) ) ) ) )
        | ~ ! [X57] :
              ( ~ r1(X0,X57)
              | ! [X58] :
                  ( ~ r1(X57,X58)
                  | ! [X59] :
                      ( ~ r1(X58,X59)
                      | ! [X60] :
                          ( ~ r1(X59,X60)
                          | ~ ( ~ ! [X61] :
                                    ( ~ r1(X60,X61)
                                    | ! [X62] :
                                        ( ~ r1(X61,X62)
                                        | ~ ! [X63] :
                                              ( ~ r1(X62,X63)
                                              | ~ p1(X63) ) ) )
                              & ! [X64] :
                                  ( ~ r1(X60,X64)
                                  | ~ ! [X65] :
                                        ( ~ r1(X64,X65)
                                        | ~ p1(X65) ) ) ) ) ) ) )
        | ~ ! [X66] :
              ( ~ r1(X0,X66)
              | ! [X67] :
                  ( ~ r1(X66,X67)
                  | ! [X68] :
                      ( ~ r1(X67,X68)
                      | ! [X69] :
                          ( ~ r1(X68,X69)
                          | ~ ( ~ ! [X70] :
                                    ( ~ r1(X69,X70)
                                    | ! [X71] :
                                        ( ~ r1(X70,X71)
                                        | p1(X71) ) )
                              & ! [X72] :
                                  ( ~ r1(X69,X72)
                                  | p1(X72) ) ) ) ) ) )
        | ~ ! [X73] :
              ( ~ r1(X0,X73)
              | ! [X74] :
                  ( ~ r1(X73,X74)
                  | ! [X75] :
                      ( ~ r1(X74,X75)
                      | ! [X76] :
                          ( ~ r1(X75,X76)
                          | ~ ! [X77] : ~ r1(X76,X77) ) ) ) )
        | ! [X78] :
            ( ~ r1(X0,X78)
            | ! [X79] :
                ( ~ r1(X78,X79)
                | ! [X80] :
                    ( ~ r1(X79,X80)
                    | ! [X81] :
                        ( ~ r1(X80,X81)
                        | ! [X82] :
                            ( ~ r1(X81,X82)
                            | p1(X82)
                            | ~ ! [X83] :
                                  ( ~ r1(X82,X83)
                                  | p1(X83) ) ) ) ) ) )
        | ~ ! [X84] :
              ( ~ r1(X0,X84)
              | ! [X85] :
                  ( ~ r1(X84,X85)
                  | ! [X86] :
                      ( ~ r1(X85,X86)
                      | ~ ( ~ ! [X87] :
                                ( ~ r1(X86,X87)
                                | ~ ! [X88] :
                                      ( ~ r1(X87,X88)
                                      | p1(X88) ) )
                          & ~ p1(X86) ) ) ) )
        | ~ ! [X89] :
              ( ~ r1(X0,X89)
              | ! [X90] :
                  ( ~ r1(X89,X90)
                  | ! [X91] :
                      ( ~ r1(X90,X91)
                      | ~ ( ~ ! [X92] :
                                ( ~ r1(X91,X92)
                                | ~ ! [X93] :
                                      ( ~ r1(X92,X93)
                                      | ~ p1(X93) ) )
                          & p1(X91) ) ) ) )
        | ~ ! [X94] :
              ( ~ r1(X0,X94)
              | ! [X95] :
                  ( ~ r1(X94,X95)
                  | ! [X96] :
                      ( ~ r1(X95,X96)
                      | ~ ( ~ ! [X97] :
                                ( ~ r1(X96,X97)
                                | ! [X98] :
                                    ( ~ r1(X97,X98)
                                    | ~ ! [X99] :
                                          ( ~ r1(X98,X99)
                                          | ~ p1(X99) ) ) )
                          & ! [X100] :
                              ( ~ r1(X96,X100)
                              | ~ ! [X101] :
                                    ( ~ r1(X100,X101)
                                    | ~ p1(X101) ) ) ) ) ) )
        | ~ ! [X102] :
              ( ~ r1(X0,X102)
              | ! [X103] :
                  ( ~ r1(X102,X103)
                  | ! [X104] :
                      ( ~ r1(X103,X104)
                      | ~ ( ~ ! [X105] :
                                ( ~ r1(X104,X105)
                                | ! [X106] :
                                    ( ~ r1(X105,X106)
                                    | p1(X106) ) )
                          & ! [X107] :
                              ( ~ r1(X104,X107)
                              | p1(X107) ) ) ) ) )
        | ~ ! [X108] :
              ( ~ r1(X0,X108)
              | ! [X109] :
                  ( ~ r1(X108,X109)
                  | ! [X110] :
                      ( ~ r1(X109,X110)
                      | ~ ! [X111] : ~ r1(X110,X111) ) ) )
        | ! [X112] :
            ( ~ r1(X0,X112)
            | ! [X113] :
                ( ~ r1(X112,X113)
                | ! [X114] :
                    ( ~ r1(X113,X114)
                    | ! [X115] :
                        ( ~ r1(X114,X115)
                        | ! [X116] :
                            ( ~ r1(X115,X116)
                            | p1(X116)
                            | ~ ! [X117] :
                                  ( ~ r1(X116,X117)
                                  | p1(X117) ) ) ) ) ) )
        | ~ ! [X118] :
              ( ~ r1(X0,X118)
              | ! [X119] :
                  ( ~ r1(X118,X119)
                  | ~ ( ~ ! [X120] :
                            ( ~ r1(X119,X120)
                            | ~ ! [X121] :
                                  ( ~ r1(X120,X121)
                                  | p1(X121) ) )
                      & ~ p1(X119) ) ) )
        | ~ ! [X122] :
              ( ~ r1(X0,X122)
              | ! [X123] :
                  ( ~ r1(X122,X123)
                  | ~ ( ~ ! [X124] :
                            ( ~ r1(X123,X124)
                            | ~ ! [X125] :
                                  ( ~ r1(X124,X125)
                                  | ~ p1(X125) ) )
                      & p1(X123) ) ) )
        | ~ ! [X126] :
              ( ~ r1(X0,X126)
              | ! [X127] :
                  ( ~ r1(X126,X127)
                  | ~ ( ~ ! [X128] :
                            ( ~ r1(X127,X128)
                            | ! [X129] :
                                ( ~ r1(X128,X129)
                                | ~ ! [X130] :
                                      ( ~ r1(X129,X130)
                                      | ~ p1(X130) ) ) )
                      & ! [X131] :
                          ( ~ r1(X127,X131)
                          | ~ ! [X132] :
                                ( ~ r1(X131,X132)
                                | ~ p1(X132) ) ) ) ) )
        | ~ ! [X133] :
              ( ~ r1(X0,X133)
              | ! [X134] :
                  ( ~ r1(X133,X134)
                  | ~ ( ~ ! [X135] :
                            ( ~ r1(X134,X135)
                            | ! [X136] :
                                ( ~ r1(X135,X136)
                                | p1(X136) ) )
                      & ! [X137] :
                          ( ~ r1(X134,X137)
                          | p1(X137) ) ) ) )
        | ~ ! [X138] :
              ( ~ r1(X0,X138)
              | ! [X139] :
                  ( ~ r1(X138,X139)
                  | ~ ! [X140] : ~ r1(X139,X140) ) )
        | ! [X141] :
            ( ~ r1(X0,X141)
            | ! [X142] :
                ( ~ r1(X141,X142)
                | ! [X143] :
                    ( ~ r1(X142,X143)
                    | ! [X144] :
                        ( ~ r1(X143,X144)
                        | ! [X145] :
                            ( ~ r1(X144,X145)
                            | p1(X145)
                            | ~ ! [X146] :
                                  ( ~ r1(X145,X146)
                                  | p1(X146) ) ) ) ) ) )
        | ~ ! [X147] :
              ( ~ r1(X0,X147)
              | ~ ( ~ ! [X148] :
                        ( ~ r1(X147,X148)
                        | ~ ! [X149] :
                              ( ~ r1(X148,X149)
                              | p1(X149) ) )
                  & ~ p1(X147) ) )
        | ~ ! [X150] :
              ( ~ r1(X0,X150)
              | ~ ( ~ ! [X151] :
                        ( ~ r1(X150,X151)
                        | ~ ! [X152] :
                              ( ~ r1(X151,X152)
                              | ~ p1(X152) ) )
                  & p1(X150) ) )
        | ~ ! [X153] :
              ( ~ r1(X0,X153)
              | ~ ( ~ ! [X154] :
                        ( ~ r1(X153,X154)
                        | ! [X155] :
                            ( ~ r1(X154,X155)
                            | ~ ! [X156] :
                                  ( ~ r1(X155,X156)
                                  | ~ p1(X156) ) ) )
                  & ! [X157] :
                      ( ~ r1(X153,X157)
                      | ~ ! [X158] :
                            ( ~ r1(X157,X158)
                            | ~ p1(X158) ) ) ) )
        | ~ ! [X159] :
              ( ~ r1(X0,X159)
              | ~ ( ~ ! [X160] :
                        ( ~ r1(X159,X160)
                        | ! [X161] :
                            ( ~ r1(X160,X161)
                            | p1(X161) ) )
                  & ! [X162] :
                      ( ~ r1(X159,X162)
                      | p1(X162) ) ) )
        | ~ ! [X163] :
              ( ~ r1(X0,X163)
              | ~ ! [X164] : ~ r1(X163,X164) )
        | ! [X165] :
            ( ~ r1(X0,X165)
            | ! [X166] :
                ( ~ r1(X165,X166)
                | ! [X167] :
                    ( ~ r1(X166,X167)
                    | ! [X168] :
                        ( ~ r1(X167,X168)
                        | ! [X169] :
                            ( ~ r1(X168,X169)
                            | p1(X169)
                            | ~ ! [X170] :
                                  ( ~ r1(X169,X170)
                                  | p1(X170) ) ) ) ) ) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X3] :
                  ( ~ r1(X2,X3)
                  | ! [X4] :
                      ( ~ r1(X3,X4)
                      | ! [X5] :
                          ( ~ r1(X4,X5)
                          | ! [X6] :
                              ( ~ r1(X5,X6)
                              | ? [X7] :
                                  ( r1(X6,X7)
                                  & ~ p1(X7) ) )
                          | p1(X5) ) ) ) ) )
      & ! [X8] :
          ( ~ r1(X0,X8)
          | ! [X9] :
              ( ~ r1(X8,X9)
              | ! [X10] :
                  ( ~ r1(X9,X10)
                  | ! [X11] :
                      ( ~ r1(X10,X11)
                      | ! [X12] :
                          ( ~ r1(X11,X12)
                          | ! [X13] :
                              ( ~ r1(X12,X13)
                              | ? [X14] :
                                  ( r1(X13,X14)
                                  & p1(X14) ) )
                          | ~ p1(X12) ) ) ) ) )
      & ! [X15] :
          ( ~ r1(X0,X15)
          | ! [X16] :
              ( ~ r1(X15,X16)
              | ! [X17] :
                  ( ~ r1(X16,X17)
                  | ! [X18] :
                      ( ~ r1(X17,X18)
                      | ! [X19] :
                          ( ~ r1(X18,X19)
                          | ! [X20] :
                              ( ~ r1(X19,X20)
                              | ! [X21] :
                                  ( ~ r1(X20,X21)
                                  | ? [X22] :
                                      ( r1(X21,X22)
                                      & p1(X22) ) ) )
                          | ? [X23] :
                              ( r1(X19,X23)
                              & ! [X24] :
                                  ( ~ r1(X23,X24)
                                  | ~ p1(X24) ) ) ) ) ) ) )
      & ! [X25] :
          ( ~ r1(X0,X25)
          | ! [X26] :
              ( ~ r1(X25,X26)
              | ! [X27] :
                  ( ~ r1(X26,X27)
                  | ! [X28] :
                      ( ~ r1(X27,X28)
                      | ! [X29] :
                          ( ~ r1(X28,X29)
                          | ! [X30] :
                              ( ~ r1(X29,X30)
                              | ! [X31] :
                                  ( ~ r1(X30,X31)
                                  | p1(X31) ) )
                          | ? [X32] :
                              ( r1(X29,X32)
                              & ~ p1(X32) ) ) ) ) ) )
      & ! [X33] :
          ( ~ r1(X0,X33)
          | ! [X34] :
              ( ~ r1(X33,X34)
              | ! [X35] :
                  ( ~ r1(X34,X35)
                  | ! [X36] :
                      ( ~ r1(X35,X36)
                      | ! [X37] :
                          ( ~ r1(X36,X37)
                          | ? [X38] : r1(X37,X38) ) ) ) ) )
      & ? [X39] :
          ( r1(X0,X39)
          & ? [X40] :
              ( r1(X39,X40)
              & ? [X41] :
                  ( r1(X40,X41)
                  & ? [X42] :
                      ( r1(X41,X42)
                      & ? [X43] :
                          ( r1(X42,X43)
                          & ~ p1(X43)
                          & ! [X44] :
                              ( ~ r1(X43,X44)
                              | p1(X44) ) ) ) ) ) )
      & ! [X45] :
          ( ~ r1(X0,X45)
          | ! [X46] :
              ( ~ r1(X45,X46)
              | ! [X47] :
                  ( ~ r1(X46,X47)
                  | ! [X48] :
                      ( ~ r1(X47,X48)
                      | ! [X49] :
                          ( ~ r1(X48,X49)
                          | ? [X50] :
                              ( r1(X49,X50)
                              & ~ p1(X50) ) )
                      | p1(X48) ) ) ) )
      & ! [X51] :
          ( ~ r1(X0,X51)
          | ! [X52] :
              ( ~ r1(X51,X52)
              | ! [X53] :
                  ( ~ r1(X52,X53)
                  | ! [X54] :
                      ( ~ r1(X53,X54)
                      | ! [X55] :
                          ( ~ r1(X54,X55)
                          | ? [X56] :
                              ( r1(X55,X56)
                              & p1(X56) ) )
                      | ~ p1(X54) ) ) ) )
      & ! [X57] :
          ( ~ r1(X0,X57)
          | ! [X58] :
              ( ~ r1(X57,X58)
              | ! [X59] :
                  ( ~ r1(X58,X59)
                  | ! [X60] :
                      ( ~ r1(X59,X60)
                      | ! [X61] :
                          ( ~ r1(X60,X61)
                          | ! [X62] :
                              ( ~ r1(X61,X62)
                              | ? [X63] :
                                  ( r1(X62,X63)
                                  & p1(X63) ) ) )
                      | ? [X64] :
                          ( r1(X60,X64)
                          & ! [X65] :
                              ( ~ r1(X64,X65)
                              | ~ p1(X65) ) ) ) ) ) )
      & ! [X66] :
          ( ~ r1(X0,X66)
          | ! [X67] :
              ( ~ r1(X66,X67)
              | ! [X68] :
                  ( ~ r1(X67,X68)
                  | ! [X69] :
                      ( ~ r1(X68,X69)
                      | ! [X70] :
                          ( ~ r1(X69,X70)
                          | ! [X71] :
                              ( ~ r1(X70,X71)
                              | p1(X71) ) )
                      | ? [X72] :
                          ( r1(X69,X72)
                          & ~ p1(X72) ) ) ) ) )
      & ! [X73] :
          ( ~ r1(X0,X73)
          | ! [X74] :
              ( ~ r1(X73,X74)
              | ! [X75] :
                  ( ~ r1(X74,X75)
                  | ! [X76] :
                      ( ~ r1(X75,X76)
                      | ? [X77] : r1(X76,X77) ) ) ) )
      & ? [X78] :
          ( r1(X0,X78)
          & ? [X79] :
              ( r1(X78,X79)
              & ? [X80] :
                  ( r1(X79,X80)
                  & ? [X81] :
                      ( r1(X80,X81)
                      & ? [X82] :
                          ( r1(X81,X82)
                          & ~ p1(X82)
                          & ! [X83] :
                              ( ~ r1(X82,X83)
                              | p1(X83) ) ) ) ) ) )
      & ! [X84] :
          ( ~ r1(X0,X84)
          | ! [X85] :
              ( ~ r1(X84,X85)
              | ! [X86] :
                  ( ~ r1(X85,X86)
                  | ! [X87] :
                      ( ~ r1(X86,X87)
                      | ? [X88] :
                          ( r1(X87,X88)
                          & ~ p1(X88) ) )
                  | p1(X86) ) ) )
      & ! [X89] :
          ( ~ r1(X0,X89)
          | ! [X90] :
              ( ~ r1(X89,X90)
              | ! [X91] :
                  ( ~ r1(X90,X91)
                  | ! [X92] :
                      ( ~ r1(X91,X92)
                      | ? [X93] :
                          ( r1(X92,X93)
                          & p1(X93) ) )
                  | ~ p1(X91) ) ) )
      & ! [X94] :
          ( ~ r1(X0,X94)
          | ! [X95] :
              ( ~ r1(X94,X95)
              | ! [X96] :
                  ( ~ r1(X95,X96)
                  | ! [X97] :
                      ( ~ r1(X96,X97)
                      | ! [X98] :
                          ( ~ r1(X97,X98)
                          | ? [X99] :
                              ( r1(X98,X99)
                              & p1(X99) ) ) )
                  | ? [X100] :
                      ( r1(X96,X100)
                      & ! [X101] :
                          ( ~ r1(X100,X101)
                          | ~ p1(X101) ) ) ) ) )
      & ! [X102] :
          ( ~ r1(X0,X102)
          | ! [X103] :
              ( ~ r1(X102,X103)
              | ! [X104] :
                  ( ~ r1(X103,X104)
                  | ! [X105] :
                      ( ~ r1(X104,X105)
                      | ! [X106] :
                          ( ~ r1(X105,X106)
                          | p1(X106) ) )
                  | ? [X107] :
                      ( r1(X104,X107)
                      & ~ p1(X107) ) ) ) )
      & ! [X108] :
          ( ~ r1(X0,X108)
          | ! [X109] :
              ( ~ r1(X108,X109)
              | ! [X110] :
                  ( ~ r1(X109,X110)
                  | ? [X111] : r1(X110,X111) ) ) )
      & ? [X112] :
          ( r1(X0,X112)
          & ? [X113] :
              ( r1(X112,X113)
              & ? [X114] :
                  ( r1(X113,X114)
                  & ? [X115] :
                      ( r1(X114,X115)
                      & ? [X116] :
                          ( r1(X115,X116)
                          & ~ p1(X116)
                          & ! [X117] :
                              ( ~ r1(X116,X117)
                              | p1(X117) ) ) ) ) ) )
      & ! [X118] :
          ( ~ r1(X0,X118)
          | ! [X119] :
              ( ~ r1(X118,X119)
              | ! [X120] :
                  ( ~ r1(X119,X120)
                  | ? [X121] :
                      ( r1(X120,X121)
                      & ~ p1(X121) ) )
              | p1(X119) ) )
      & ! [X122] :
          ( ~ r1(X0,X122)
          | ! [X123] :
              ( ~ r1(X122,X123)
              | ! [X124] :
                  ( ~ r1(X123,X124)
                  | ? [X125] :
                      ( r1(X124,X125)
                      & p1(X125) ) )
              | ~ p1(X123) ) )
      & ! [X126] :
          ( ~ r1(X0,X126)
          | ! [X127] :
              ( ~ r1(X126,X127)
              | ! [X128] :
                  ( ~ r1(X127,X128)
                  | ! [X129] :
                      ( ~ r1(X128,X129)
                      | ? [X130] :
                          ( r1(X129,X130)
                          & p1(X130) ) ) )
              | ? [X131] :
                  ( r1(X127,X131)
                  & ! [X132] :
                      ( ~ r1(X131,X132)
                      | ~ p1(X132) ) ) ) )
      & ! [X133] :
          ( ~ r1(X0,X133)
          | ! [X134] :
              ( ~ r1(X133,X134)
              | ! [X135] :
                  ( ~ r1(X134,X135)
                  | ! [X136] :
                      ( ~ r1(X135,X136)
                      | p1(X136) ) )
              | ? [X137] :
                  ( r1(X134,X137)
                  & ~ p1(X137) ) ) )
      & ! [X138] :
          ( ~ r1(X0,X138)
          | ! [X139] :
              ( ~ r1(X138,X139)
              | ? [X140] : r1(X139,X140) ) )
      & ? [X141] :
          ( r1(X0,X141)
          & ? [X142] :
              ( r1(X141,X142)
              & ? [X143] :
                  ( r1(X142,X143)
                  & ? [X144] :
                      ( r1(X143,X144)
                      & ? [X145] :
                          ( r1(X144,X145)
                          & ~ p1(X145)
                          & ! [X146] :
                              ( ~ r1(X145,X146)
                              | p1(X146) ) ) ) ) ) )
      & ! [X147] :
          ( ~ r1(X0,X147)
          | ! [X148] :
              ( ~ r1(X147,X148)
              | ? [X149] :
                  ( r1(X148,X149)
                  & ~ p1(X149) ) )
          | p1(X147) )
      & ! [X150] :
          ( ~ r1(X0,X150)
          | ! [X151] :
              ( ~ r1(X150,X151)
              | ? [X152] :
                  ( r1(X151,X152)
                  & p1(X152) ) )
          | ~ p1(X150) )
      & ! [X153] :
          ( ~ r1(X0,X153)
          | ! [X154] :
              ( ~ r1(X153,X154)
              | ! [X155] :
                  ( ~ r1(X154,X155)
                  | ? [X156] :
                      ( r1(X155,X156)
                      & p1(X156) ) ) )
          | ? [X157] :
              ( r1(X153,X157)
              & ! [X158] :
                  ( ~ r1(X157,X158)
                  | ~ p1(X158) ) ) )
      & ! [X159] :
          ( ~ r1(X0,X159)
          | ! [X160] :
              ( ~ r1(X159,X160)
              | ! [X161] :
                  ( ~ r1(X160,X161)
                  | p1(X161) ) )
          | ? [X162] :
              ( r1(X159,X162)
              & ~ p1(X162) ) )
      & ! [X163] :
          ( ~ r1(X0,X163)
          | ? [X164] : r1(X163,X164) )
      & ? [X165] :
          ( r1(X0,X165)
          & ? [X166] :
              ( r1(X165,X166)
              & ? [X167] :
                  ( r1(X166,X167)
                  & ? [X168] :
                      ( r1(X167,X168)
                      & ? [X169] :
                          ( r1(X168,X169)
                          & ~ p1(X169)
                          & ! [X170] :
                              ( ~ r1(X169,X170)
                              | p1(X170) ) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f7,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X3] :
                  ( ~ r1(X2,X3)
                  | ! [X4] :
                      ( ~ r1(X3,X4)
                      | ! [X5] :
                          ( ~ r1(X4,X5)
                          | ! [X6] :
                              ( ~ r1(X5,X6)
                              | ? [X7] :
                                  ( r1(X6,X7)
                                  & ~ p1(X7) ) )
                          | p1(X5) ) ) ) ) )
      & ! [X8] :
          ( ~ r1(X0,X8)
          | ! [X9] :
              ( ~ r1(X8,X9)
              | ! [X10] :
                  ( ~ r1(X9,X10)
                  | ! [X11] :
                      ( ~ r1(X10,X11)
                      | ! [X12] :
                          ( ~ r1(X11,X12)
                          | ! [X13] :
                              ( ~ r1(X12,X13)
                              | ? [X14] :
                                  ( r1(X13,X14)
                                  & p1(X14) ) )
                          | ~ p1(X12) ) ) ) ) )
      & ! [X15] :
          ( ~ r1(X0,X15)
          | ! [X16] :
              ( ~ r1(X15,X16)
              | ! [X17] :
                  ( ~ r1(X16,X17)
                  | ! [X18] :
                      ( ~ r1(X17,X18)
                      | ! [X19] :
                          ( ~ r1(X18,X19)
                          | ! [X20] :
                              ( ~ r1(X19,X20)
                              | ! [X21] :
                                  ( ~ r1(X20,X21)
                                  | ? [X22] :
                                      ( r1(X21,X22)
                                      & p1(X22) ) ) )
                          | ? [X23] :
                              ( r1(X19,X23)
                              & ! [X24] :
                                  ( ~ r1(X23,X24)
                                  | ~ p1(X24) ) ) ) ) ) ) )
      & ! [X25] :
          ( ~ r1(X0,X25)
          | ! [X26] :
              ( ~ r1(X25,X26)
              | ! [X27] :
                  ( ~ r1(X26,X27)
                  | ! [X28] :
                      ( ~ r1(X27,X28)
                      | ! [X29] :
                          ( ~ r1(X28,X29)
                          | ! [X30] :
                              ( ~ r1(X29,X30)
                              | ! [X31] :
                                  ( ~ r1(X30,X31)
                                  | p1(X31) ) )
                          | ? [X32] :
                              ( r1(X29,X32)
                              & ~ p1(X32) ) ) ) ) ) )
      & ! [X33] :
          ( ~ r1(X0,X33)
          | ! [X34] :
              ( ~ r1(X33,X34)
              | ! [X35] :
                  ( ~ r1(X34,X35)
                  | ! [X36] :
                      ( ~ r1(X35,X36)
                      | ! [X37] :
                          ( ~ r1(X36,X37)
                          | ? [X38] : r1(X37,X38) ) ) ) ) )
      & ? [X39] :
          ( r1(X0,X39)
          & ? [X40] :
              ( r1(X39,X40)
              & ? [X41] :
                  ( r1(X40,X41)
                  & ? [X42] :
                      ( r1(X41,X42)
                      & ? [X43] :
                          ( r1(X42,X43)
                          & ~ p1(X43)
                          & ! [X44] :
                              ( ~ r1(X43,X44)
                              | p1(X44) ) ) ) ) ) )
      & ! [X45] :
          ( ~ r1(X0,X45)
          | ! [X46] :
              ( ~ r1(X45,X46)
              | ! [X47] :
                  ( ~ r1(X46,X47)
                  | ! [X48] :
                      ( ~ r1(X47,X48)
                      | ! [X49] :
                          ( ~ r1(X48,X49)
                          | ? [X50] :
                              ( r1(X49,X50)
                              & ~ p1(X50) ) )
                      | p1(X48) ) ) ) )
      & ! [X51] :
          ( ~ r1(X0,X51)
          | ! [X52] :
              ( ~ r1(X51,X52)
              | ! [X53] :
                  ( ~ r1(X52,X53)
                  | ! [X54] :
                      ( ~ r1(X53,X54)
                      | ! [X55] :
                          ( ~ r1(X54,X55)
                          | ? [X56] :
                              ( r1(X55,X56)
                              & p1(X56) ) )
                      | ~ p1(X54) ) ) ) )
      & ! [X57] :
          ( ~ r1(X0,X57)
          | ! [X58] :
              ( ~ r1(X57,X58)
              | ! [X59] :
                  ( ~ r1(X58,X59)
                  | ! [X60] :
                      ( ~ r1(X59,X60)
                      | ! [X61] :
                          ( ~ r1(X60,X61)
                          | ! [X62] :
                              ( ~ r1(X61,X62)
                              | ? [X63] :
                                  ( r1(X62,X63)
                                  & p1(X63) ) ) )
                      | ? [X64] :
                          ( r1(X60,X64)
                          & ! [X65] :
                              ( ~ r1(X64,X65)
                              | ~ p1(X65) ) ) ) ) ) )
      & ! [X66] :
          ( ~ r1(X0,X66)
          | ! [X67] :
              ( ~ r1(X66,X67)
              | ! [X68] :
                  ( ~ r1(X67,X68)
                  | ! [X69] :
                      ( ~ r1(X68,X69)
                      | ! [X70] :
                          ( ~ r1(X69,X70)
                          | ! [X71] :
                              ( ~ r1(X70,X71)
                              | p1(X71) ) )
                      | ? [X72] :
                          ( r1(X69,X72)
                          & ~ p1(X72) ) ) ) ) )
      & ! [X73] :
          ( ~ r1(X0,X73)
          | ! [X74] :
              ( ~ r1(X73,X74)
              | ! [X75] :
                  ( ~ r1(X74,X75)
                  | ! [X76] :
                      ( ~ r1(X75,X76)
                      | ? [X77] : r1(X76,X77) ) ) ) )
      & ? [X78] :
          ( r1(X0,X78)
          & ? [X79] :
              ( r1(X78,X79)
              & ? [X80] :
                  ( r1(X79,X80)
                  & ? [X81] :
                      ( r1(X80,X81)
                      & ? [X82] :
                          ( r1(X81,X82)
                          & ~ p1(X82)
                          & ! [X83] :
                              ( ~ r1(X82,X83)
                              | p1(X83) ) ) ) ) ) )
      & ! [X84] :
          ( ~ r1(X0,X84)
          | ! [X85] :
              ( ~ r1(X84,X85)
              | ! [X86] :
                  ( ~ r1(X85,X86)
                  | ! [X87] :
                      ( ~ r1(X86,X87)
                      | ? [X88] :
                          ( r1(X87,X88)
                          & ~ p1(X88) ) )
                  | p1(X86) ) ) )
      & ! [X89] :
          ( ~ r1(X0,X89)
          | ! [X90] :
              ( ~ r1(X89,X90)
              | ! [X91] :
                  ( ~ r1(X90,X91)
                  | ! [X92] :
                      ( ~ r1(X91,X92)
                      | ? [X93] :
                          ( r1(X92,X93)
                          & p1(X93) ) )
                  | ~ p1(X91) ) ) )
      & ! [X94] :
          ( ~ r1(X0,X94)
          | ! [X95] :
              ( ~ r1(X94,X95)
              | ! [X96] :
                  ( ~ r1(X95,X96)
                  | ! [X97] :
                      ( ~ r1(X96,X97)
                      | ! [X98] :
                          ( ~ r1(X97,X98)
                          | ? [X99] :
                              ( r1(X98,X99)
                              & p1(X99) ) ) )
                  | ? [X100] :
                      ( r1(X96,X100)
                      & ! [X101] :
                          ( ~ r1(X100,X101)
                          | ~ p1(X101) ) ) ) ) )
      & ! [X102] :
          ( ~ r1(X0,X102)
          | ! [X103] :
              ( ~ r1(X102,X103)
              | ! [X104] :
                  ( ~ r1(X103,X104)
                  | ! [X105] :
                      ( ~ r1(X104,X105)
                      | ! [X106] :
                          ( ~ r1(X105,X106)
                          | p1(X106) ) )
                  | ? [X107] :
                      ( r1(X104,X107)
                      & ~ p1(X107) ) ) ) )
      & ! [X108] :
          ( ~ r1(X0,X108)
          | ! [X109] :
              ( ~ r1(X108,X109)
              | ! [X110] :
                  ( ~ r1(X109,X110)
                  | ? [X111] : r1(X110,X111) ) ) )
      & ? [X112] :
          ( r1(X0,X112)
          & ? [X113] :
              ( r1(X112,X113)
              & ? [X114] :
                  ( r1(X113,X114)
                  & ? [X115] :
                      ( r1(X114,X115)
                      & ? [X116] :
                          ( r1(X115,X116)
                          & ~ p1(X116)
                          & ! [X117] :
                              ( ~ r1(X116,X117)
                              | p1(X117) ) ) ) ) ) )
      & ! [X118] :
          ( ~ r1(X0,X118)
          | ! [X119] :
              ( ~ r1(X118,X119)
              | ! [X120] :
                  ( ~ r1(X119,X120)
                  | ? [X121] :
                      ( r1(X120,X121)
                      & ~ p1(X121) ) )
              | p1(X119) ) )
      & ! [X122] :
          ( ~ r1(X0,X122)
          | ! [X123] :
              ( ~ r1(X122,X123)
              | ! [X124] :
                  ( ~ r1(X123,X124)
                  | ? [X125] :
                      ( r1(X124,X125)
                      & p1(X125) ) )
              | ~ p1(X123) ) )
      & ! [X126] :
          ( ~ r1(X0,X126)
          | ! [X127] :
              ( ~ r1(X126,X127)
              | ! [X128] :
                  ( ~ r1(X127,X128)
                  | ! [X129] :
                      ( ~ r1(X128,X129)
                      | ? [X130] :
                          ( r1(X129,X130)
                          & p1(X130) ) ) )
              | ? [X131] :
                  ( r1(X127,X131)
                  & ! [X132] :
                      ( ~ r1(X131,X132)
                      | ~ p1(X132) ) ) ) )
      & ! [X133] :
          ( ~ r1(X0,X133)
          | ! [X134] :
              ( ~ r1(X133,X134)
              | ! [X135] :
                  ( ~ r1(X134,X135)
                  | ! [X136] :
                      ( ~ r1(X135,X136)
                      | p1(X136) ) )
              | ? [X137] :
                  ( r1(X134,X137)
                  & ~ p1(X137) ) ) )
      & ! [X138] :
          ( ~ r1(X0,X138)
          | ! [X139] :
              ( ~ r1(X138,X139)
              | ? [X140] : r1(X139,X140) ) )
      & ? [X141] :
          ( r1(X0,X141)
          & ? [X142] :
              ( r1(X141,X142)
              & ? [X143] :
                  ( r1(X142,X143)
                  & ? [X144] :
                      ( r1(X143,X144)
                      & ? [X145] :
                          ( r1(X144,X145)
                          & ~ p1(X145)
                          & ! [X146] :
                              ( ~ r1(X145,X146)
                              | p1(X146) ) ) ) ) ) )
      & ! [X147] :
          ( ~ r1(X0,X147)
          | ! [X148] :
              ( ~ r1(X147,X148)
              | ? [X149] :
                  ( r1(X148,X149)
                  & ~ p1(X149) ) )
          | p1(X147) )
      & ! [X150] :
          ( ~ r1(X0,X150)
          | ! [X151] :
              ( ~ r1(X150,X151)
              | ? [X152] :
                  ( r1(X151,X152)
                  & p1(X152) ) )
          | ~ p1(X150) )
      & ! [X153] :
          ( ~ r1(X0,X153)
          | ! [X154] :
              ( ~ r1(X153,X154)
              | ! [X155] :
                  ( ~ r1(X154,X155)
                  | ? [X156] :
                      ( r1(X155,X156)
                      & p1(X156) ) ) )
          | ? [X157] :
              ( r1(X153,X157)
              & ! [X158] :
                  ( ~ r1(X157,X158)
                  | ~ p1(X158) ) ) )
      & ! [X159] :
          ( ~ r1(X0,X159)
          | ! [X160] :
              ( ~ r1(X159,X160)
              | ! [X161] :
                  ( ~ r1(X160,X161)
                  | p1(X161) ) )
          | ? [X162] :
              ( r1(X159,X162)
              & ~ p1(X162) ) )
      & ! [X163] :
          ( ~ r1(X0,X163)
          | ? [X164] : r1(X163,X164) )
      & ? [X165] :
          ( r1(X0,X165)
          & ? [X166] :
              ( r1(X165,X166)
              & ? [X167] :
                  ( r1(X166,X167)
                  & ? [X168] :
                      ( r1(X167,X168)
                      & ? [X169] :
                          ( r1(X168,X169)
                          & ~ p1(X169)
                          & ! [X170] :
                              ( ~ r1(X169,X170)
                              | p1(X170) ) ) ) ) ) ) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ( ! [X1] :
        ( ~ r1(sK0,X1)
        | ! [X2] :
            ( ~ r1(X1,X2)
            | ! [X3] :
                ( ~ r1(X2,X3)
                | ! [X4] :
                    ( ~ r1(X3,X4)
                    | ! [X5] :
                        ( ~ r1(X4,X5)
                        | ! [X6] :
                            ( ~ r1(X5,X6)
                            | ( r1(X6,sK1(X6))
                              & ~ p1(sK1(X6)) ) )
                        | p1(X5) ) ) ) ) )
    & ! [X8] :
        ( ~ r1(sK0,X8)
        | ! [X9] :
            ( ~ r1(X8,X9)
            | ! [X10] :
                ( ~ r1(X9,X10)
                | ! [X11] :
                    ( ~ r1(X10,X11)
                    | ! [X12] :
                        ( ~ r1(X11,X12)
                        | ! [X13] :
                            ( ~ r1(X12,X13)
                            | ( r1(X13,sK2(X13))
                              & p1(sK2(X13)) ) )
                        | ~ p1(X12) ) ) ) ) )
    & ! [X15] :
        ( ~ r1(sK0,X15)
        | ! [X16] :
            ( ~ r1(X15,X16)
            | ! [X17] :
                ( ~ r1(X16,X17)
                | ! [X18] :
                    ( ~ r1(X17,X18)
                    | ! [X19] :
                        ( ~ r1(X18,X19)
                        | ! [X20] :
                            ( ~ r1(X19,X20)
                            | ! [X21] :
                                ( ~ r1(X20,X21)
                                | ( r1(X21,sK3(X21))
                                  & p1(sK3(X21)) ) ) )
                        | ( r1(X19,sK4(X19))
                          & ! [X24] :
                              ( ~ r1(sK4(X19),X24)
                              | ~ p1(X24) ) ) ) ) ) ) )
    & ! [X25] :
        ( ~ r1(sK0,X25)
        | ! [X26] :
            ( ~ r1(X25,X26)
            | ! [X27] :
                ( ~ r1(X26,X27)
                | ! [X28] :
                    ( ~ r1(X27,X28)
                    | ! [X29] :
                        ( ~ r1(X28,X29)
                        | ! [X30] :
                            ( ~ r1(X29,X30)
                            | ! [X31] :
                                ( ~ r1(X30,X31)
                                | p1(X31) ) )
                        | ( r1(X29,sK5(X29))
                          & ~ p1(sK5(X29)) ) ) ) ) ) )
    & ! [X33] :
        ( ~ r1(sK0,X33)
        | ! [X34] :
            ( ~ r1(X33,X34)
            | ! [X35] :
                ( ~ r1(X34,X35)
                | ! [X36] :
                    ( ~ r1(X35,X36)
                    | ! [X37] :
                        ( ~ r1(X36,X37)
                        | r1(X37,sK6(X37)) ) ) ) ) )
    & r1(sK0,sK7)
    & r1(sK7,sK8)
    & r1(sK8,sK9)
    & r1(sK9,sK10)
    & r1(sK10,sK11)
    & ~ p1(sK11)
    & ! [X44] :
        ( ~ r1(sK11,X44)
        | p1(X44) )
    & ! [X45] :
        ( ~ r1(sK0,X45)
        | ! [X46] :
            ( ~ r1(X45,X46)
            | ! [X47] :
                ( ~ r1(X46,X47)
                | ! [X48] :
                    ( ~ r1(X47,X48)
                    | ! [X49] :
                        ( ~ r1(X48,X49)
                        | ( r1(X49,sK12(X49))
                          & ~ p1(sK12(X49)) ) )
                    | p1(X48) ) ) ) )
    & ! [X51] :
        ( ~ r1(sK0,X51)
        | ! [X52] :
            ( ~ r1(X51,X52)
            | ! [X53] :
                ( ~ r1(X52,X53)
                | ! [X54] :
                    ( ~ r1(X53,X54)
                    | ! [X55] :
                        ( ~ r1(X54,X55)
                        | ( r1(X55,sK13(X55))
                          & p1(sK13(X55)) ) )
                    | ~ p1(X54) ) ) ) )
    & ! [X57] :
        ( ~ r1(sK0,X57)
        | ! [X58] :
            ( ~ r1(X57,X58)
            | ! [X59] :
                ( ~ r1(X58,X59)
                | ! [X60] :
                    ( ~ r1(X59,X60)
                    | ! [X61] :
                        ( ~ r1(X60,X61)
                        | ! [X62] :
                            ( ~ r1(X61,X62)
                            | ( r1(X62,sK14(X62))
                              & p1(sK14(X62)) ) ) )
                    | ( r1(X60,sK15(X60))
                      & ! [X65] :
                          ( ~ r1(sK15(X60),X65)
                          | ~ p1(X65) ) ) ) ) ) )
    & ! [X66] :
        ( ~ r1(sK0,X66)
        | ! [X67] :
            ( ~ r1(X66,X67)
            | ! [X68] :
                ( ~ r1(X67,X68)
                | ! [X69] :
                    ( ~ r1(X68,X69)
                    | ! [X70] :
                        ( ~ r1(X69,X70)
                        | ! [X71] :
                            ( ~ r1(X70,X71)
                            | p1(X71) ) )
                    | ( r1(X69,sK16(X69))
                      & ~ p1(sK16(X69)) ) ) ) ) )
    & ! [X73] :
        ( ~ r1(sK0,X73)
        | ! [X74] :
            ( ~ r1(X73,X74)
            | ! [X75] :
                ( ~ r1(X74,X75)
                | ! [X76] :
                    ( ~ r1(X75,X76)
                    | r1(X76,sK17(X76)) ) ) ) )
    & r1(sK0,sK18)
    & r1(sK18,sK19)
    & r1(sK19,sK20)
    & r1(sK20,sK21)
    & r1(sK21,sK22)
    & ~ p1(sK22)
    & ! [X83] :
        ( ~ r1(sK22,X83)
        | p1(X83) )
    & ! [X84] :
        ( ~ r1(sK0,X84)
        | ! [X85] :
            ( ~ r1(X84,X85)
            | ! [X86] :
                ( ~ r1(X85,X86)
                | ! [X87] :
                    ( ~ r1(X86,X87)
                    | ( r1(X87,sK23(X87))
                      & ~ p1(sK23(X87)) ) )
                | p1(X86) ) ) )
    & ! [X89] :
        ( ~ r1(sK0,X89)
        | ! [X90] :
            ( ~ r1(X89,X90)
            | ! [X91] :
                ( ~ r1(X90,X91)
                | ! [X92] :
                    ( ~ r1(X91,X92)
                    | ( r1(X92,sK24(X92))
                      & p1(sK24(X92)) ) )
                | ~ p1(X91) ) ) )
    & ! [X94] :
        ( ~ r1(sK0,X94)
        | ! [X95] :
            ( ~ r1(X94,X95)
            | ! [X96] :
                ( ~ r1(X95,X96)
                | ! [X97] :
                    ( ~ r1(X96,X97)
                    | ! [X98] :
                        ( ~ r1(X97,X98)
                        | ( r1(X98,sK25(X98))
                          & p1(sK25(X98)) ) ) )
                | ( r1(X96,sK26(X96))
                  & ! [X101] :
                      ( ~ r1(sK26(X96),X101)
                      | ~ p1(X101) ) ) ) ) )
    & ! [X102] :
        ( ~ r1(sK0,X102)
        | ! [X103] :
            ( ~ r1(X102,X103)
            | ! [X104] :
                ( ~ r1(X103,X104)
                | ! [X105] :
                    ( ~ r1(X104,X105)
                    | ! [X106] :
                        ( ~ r1(X105,X106)
                        | p1(X106) ) )
                | ( r1(X104,sK27(X104))
                  & ~ p1(sK27(X104)) ) ) ) )
    & ! [X108] :
        ( ~ r1(sK0,X108)
        | ! [X109] :
            ( ~ r1(X108,X109)
            | ! [X110] :
                ( ~ r1(X109,X110)
                | r1(X110,sK28(X110)) ) ) )
    & r1(sK0,sK29)
    & r1(sK29,sK30)
    & r1(sK30,sK31)
    & r1(sK31,sK32)
    & r1(sK32,sK33)
    & ~ p1(sK33)
    & ! [X117] :
        ( ~ r1(sK33,X117)
        | p1(X117) )
    & ! [X118] :
        ( ~ r1(sK0,X118)
        | ! [X119] :
            ( ~ r1(X118,X119)
            | ! [X120] :
                ( ~ r1(X119,X120)
                | ( r1(X120,sK34(X120))
                  & ~ p1(sK34(X120)) ) )
            | p1(X119) ) )
    & ! [X122] :
        ( ~ r1(sK0,X122)
        | ! [X123] :
            ( ~ r1(X122,X123)
            | ! [X124] :
                ( ~ r1(X123,X124)
                | ( r1(X124,sK35(X124))
                  & p1(sK35(X124)) ) )
            | ~ p1(X123) ) )
    & ! [X126] :
        ( ~ r1(sK0,X126)
        | ! [X127] :
            ( ~ r1(X126,X127)
            | ! [X128] :
                ( ~ r1(X127,X128)
                | ! [X129] :
                    ( ~ r1(X128,X129)
                    | ( r1(X129,sK36(X129))
                      & p1(sK36(X129)) ) ) )
            | ( r1(X127,sK37(X127))
              & ! [X132] :
                  ( ~ r1(sK37(X127),X132)
                  | ~ p1(X132) ) ) ) )
    & ! [X133] :
        ( ~ r1(sK0,X133)
        | ! [X134] :
            ( ~ r1(X133,X134)
            | ! [X135] :
                ( ~ r1(X134,X135)
                | ! [X136] :
                    ( ~ r1(X135,X136)
                    | p1(X136) ) )
            | ( r1(X134,sK38(X134))
              & ~ p1(sK38(X134)) ) ) )
    & ! [X138] :
        ( ~ r1(sK0,X138)
        | ! [X139] :
            ( ~ r1(X138,X139)
            | r1(X139,sK39(X139)) ) )
    & r1(sK0,sK40)
    & r1(sK40,sK41)
    & r1(sK41,sK42)
    & r1(sK42,sK43)
    & r1(sK43,sK44)
    & ~ p1(sK44)
    & ! [X146] :
        ( ~ r1(sK44,X146)
        | p1(X146) )
    & ! [X147] :
        ( ~ r1(sK0,X147)
        | ! [X148] :
            ( ~ r1(X147,X148)
            | ( r1(X148,sK45(X148))
              & ~ p1(sK45(X148)) ) )
        | p1(X147) )
    & ! [X150] :
        ( ~ r1(sK0,X150)
        | ! [X151] :
            ( ~ r1(X150,X151)
            | ( r1(X151,sK46(X151))
              & p1(sK46(X151)) ) )
        | ~ p1(X150) )
    & ! [X153] :
        ( ~ r1(sK0,X153)
        | ! [X154] :
            ( ~ r1(X153,X154)
            | ! [X155] :
                ( ~ r1(X154,X155)
                | ( r1(X155,sK47(X155))
                  & p1(sK47(X155)) ) ) )
        | ( r1(X153,sK48(X153))
          & ! [X158] :
              ( ~ r1(sK48(X153),X158)
              | ~ p1(X158) ) ) )
    & ! [X159] :
        ( ~ r1(sK0,X159)
        | ! [X160] :
            ( ~ r1(X159,X160)
            | ! [X161] :
                ( ~ r1(X160,X161)
                | p1(X161) ) )
        | ( r1(X159,sK49(X159))
          & ~ p1(sK49(X159)) ) )
    & ! [X163] :
        ( ~ r1(sK0,X163)
        | r1(X163,sK50(X163)) )
    & r1(sK0,sK51)
    & r1(sK51,sK52)
    & r1(sK52,sK53)
    & r1(sK53,sK54)
    & r1(sK54,sK55)
    & ~ p1(sK55)
    & ! [X170] :
        ( ~ r1(sK55,X170)
        | p1(X170) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55]),skolemize(X0,sK0),skolemize(X7,sK1(X6)),skolemize(X14,sK2(X13)),skolemize(X22,sK3(X21)),skolemize(X23,sK4(X19)),skolemize(X32,sK5(X29)),skolemize(X38,sK6(X37)),skolemize(X39,sK7),skolemize(X40,sK8),skolemize(X41,sK9),skolemize(X42,sK10),skolemize(X43,sK11),skolemize(X50,sK12(X49)),skolemize(X56,sK13(X55)),skolemize(X63,sK14(X62)),skolemize(X64,sK15(X60)),skolemize(X72,sK16(X69)),skolemize(X77,sK17(X76)),skolemize(X78,sK18),skolemize(X79,sK19),skolemize(X80,sK20),skolemize(X81,sK21),skolemize(X82,sK22),skolemize(X88,sK23(X87)),skolemize(X93,sK24(X92)),skolemize(X99,sK25(X98)),skolemize(X100,sK26(X96)),skolemize(X107,sK27(X104)),skolemize(X111,sK28(X110)),skolemize(X112,sK29),skolemize(X113,sK30),skolemize(X114,sK31),skolemize(X115,sK32),skolemize(X116,sK33),skolemize(X121,sK34(X120)),skolemize(X125,sK35(X124)),skolemize(X130,sK36(X129)),skolemize(X131,sK37(X127)),skolemize(X137,sK38(X134)),skolemize(X140,sK39(X139)),skolemize(X141,sK40),skolemize(X142,sK41),skolemize(X143,sK42),skolemize(X144,sK43),skolemize(X145,sK44),skolemize(X149,sK45(X148)),skolemize(X152,sK46(X151)),skolemize(X156,sK47(X155)),skolemize(X157,sK48(X153)),skolemize(X162,sK49(X159)),skolemize(X164,sK50(X163)),skolemize(X165,sK51),skolemize(X166,sK52),skolemize(X167,sK53),skolemize(X168,sK54),skolemize(X169,sK55)],[f7]) ).

fof(f81,plain,
    ! [X44] :
      ( ~ r1(sK11,X44)
      | p1(X44) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f82,plain,
    ~ p1(sK11),
    inference(cnf_transformation,[],[f8]) ).

fof(f83,plain,
    r1(sK10,sK11),
    inference(cnf_transformation,[],[f8]) ).

fof(f84,plain,
    r1(sK9,sK10),
    inference(cnf_transformation,[],[f8]) ).

fof(f85,plain,
    r1(sK8,sK9),
    inference(cnf_transformation,[],[f8]) ).

fof(f86,plain,
    r1(sK7,sK8),
    inference(cnf_transformation,[],[f8]) ).

fof(f87,plain,
    r1(sK0,sK7),
    inference(cnf_transformation,[],[f8]) ).

fof(f88,plain,
    ! [X36,X37,X34,X35,X33] :
      ( ~ r1(sK0,X33)
      | ~ r1(X33,X34)
      | ~ r1(X34,X35)
      | ~ r1(X35,X36)
      | ~ r1(X36,X37)
      | r1(X37,sK6(X37)) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f89,plain,
    ! [X31,X28,X29,X26,X27,X25,X30] :
      ( ~ p1(sK5(X29))
      | ~ r1(X25,X26)
      | ~ r1(X26,X27)
      | ~ r1(X27,X28)
      | ~ r1(X28,X29)
      | ~ r1(X29,X30)
      | ~ r1(X30,X31)
      | p1(X31)
      | ~ r1(sK0,X25) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f90,plain,
    ! [X31,X28,X29,X26,X27,X25,X30] :
      ( ~ r1(sK0,X25)
      | ~ r1(X25,X26)
      | ~ r1(X26,X27)
      | ~ r1(X27,X28)
      | ~ r1(X28,X29)
      | ~ r1(X29,X30)
      | ~ r1(X30,X31)
      | p1(X31)
      | r1(X29,sK5(X29)) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f97,plain,
    ! [X2,X3,X1,X6,X4,X5] :
      ( ~ p1(sK1(X6))
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | ~ r1(X4,X5)
      | ~ r1(X5,X6)
      | ~ r1(sK0,X1)
      | p1(X5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f98,plain,
    ! [X2,X3,X1,X6,X4,X5] :
      ( ~ r1(sK0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | ~ r1(X4,X5)
      | ~ r1(X5,X6)
      | r1(X6,sK1(X6))
      | p1(X5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f139,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(sK7,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | r1(X4,sK1(X4))
      | p1(X3) ),
    inference(resolution,[],[f98,f87]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r1(sK7,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | ~ r1(X4,X5)
      | p1(X5)
      | r1(X3,sK5(X3)) ),
    inference(resolution,[],[f90,f87]) ).

fof(f230,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK7,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | r1(X3,sK6(X3)) ),
    inference(resolution,[],[f88,f87]) ).

fof(f257,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(sK8,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | p1(X4)
      | r1(X2,sK5(X2)) ),
    inference(resolution,[],[f144,f86]) ).

fof(f259,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK9,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | p1(X3)
      | r1(X1,sK5(X1)) ),
    inference(resolution,[],[f257,f85]) ).

fof(f260,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK10,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | p1(X2)
      | r1(X0,sK5(X0)) ),
    inference(resolution,[],[f259,f84]) ).

fof(f261,plain,
    ! [X0,X1] :
      ( ~ r1(sK11,X0)
      | ~ r1(X0,X1)
      | p1(X1)
      | r1(sK11,sK5(sK11)) ),
    inference(resolution,[],[f260,f83]) ).

fof(f263,definition,
    ( spl56_23
  <=> r1(sK11,sK5(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl56_23])],[avatar_definition]) ).

fof(f264,plain,
    ( r1(sK11,sK5(sK11))
    | ~ spl56_23 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f266,definition,
    ( spl56_24
  <=> ! [X0,X1] :
        ( ~ r1(sK11,X0)
        | p1(X1)
        | ~ r1(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl56_24])],[avatar_definition]) ).

fof(f267,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK11,X0)
        | p1(X1)
        | ~ r1(X0,X1) )
    | ~ spl56_24 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f268,plain,
    ( spl56_23
    | spl56_24 ),
    inference(avatar_split_clause,[],[f261,f266,f263]) ).

fof(f269,plain,
    ( p1(sK5(sK11))
    | ~ spl56_23 ),
    inference(resolution,[],[f264,f81]) ).

fof(f270,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(X0,X1)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,sK11)
        | ~ r1(sK11,X4)
        | ~ r1(X4,X5)
        | p1(X5)
        | ~ r1(sK0,X0) )
    | ~ spl56_23 ),
    inference(resolution,[],[f269,f89]) ).

fof(f281,definition,
    ( spl56_27
  <=> ! [X0,X3,X2,X1] :
        ( ~ r1(X0,X1)
        | ~ r1(sK0,X0)
        | ~ r1(X3,sK11)
        | ~ r1(X2,X3)
        | ~ r1(X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl56_27])],[avatar_definition]) ).

fof(f282,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ r1(X3,sK11)
        | ~ r1(sK0,X0)
        | ~ r1(X0,X1)
        | ~ r1(X2,X3)
        | ~ r1(X1,X2) )
    | ~ spl56_27 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f283,plain,
    ( spl56_24
    | spl56_27
    | ~ spl56_23 ),
    inference(avatar_split_clause,[],[f270,f263,f281,f266]) ).

fof(f451,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK8,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | r1(X3,sK1(X3))
      | p1(X2) ),
    inference(resolution,[],[f139,f86]) ).

fof(f453,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK9,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | r1(X2,sK1(X2))
      | p1(X1) ),
    inference(resolution,[],[f451,f85]) ).

fof(f454,plain,
    ! [X0,X1] :
      ( ~ r1(sK10,X0)
      | ~ r1(X0,X1)
      | r1(X1,sK1(X1))
      | p1(X0) ),
    inference(resolution,[],[f453,f84]) ).

fof(f455,plain,
    ! [X0] :
      ( ~ r1(sK11,X0)
      | r1(X0,sK1(X0))
      | p1(sK11) ),
    inference(resolution,[],[f454,f83]) ).

fof(f456,plain,
    ! [X0] :
      ( ~ r1(sK11,X0)
      | r1(X0,sK1(X0)) ),
    inference(forward_subsumption_resolution,[],[f455,f82]) ).

fof(f2002,plain,
    ( $false
    | ~ spl56_27 ),
    inference(unit_resulting_resolution,[],[f282,f85,f84,f86,f87,f83]) ).

fof(f2004,plain,
    ~ spl56_27,
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2723,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK8,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | r1(X2,sK6(X2)) ),
    inference(resolution,[],[f230,f86]) ).

fof(f2725,plain,
    ! [X0,X1] :
      ( ~ r1(sK9,X0)
      | ~ r1(X0,X1)
      | r1(X1,sK6(X1)) ),
    inference(resolution,[],[f2723,f85]) ).

fof(f2727,plain,
    ! [X0] :
      ( ~ r1(sK10,X0)
      | r1(X0,sK6(X0)) ),
    inference(resolution,[],[f2725,f84]) ).

fof(f2729,plain,
    r1(sK11,sK6(sK11)),
    inference(resolution,[],[f2727,f83]) ).

fof(f2730,plain,
    ( ! [X0] :
        ( ~ r1(sK6(sK11),X0)
        | p1(X0) )
    | ~ spl56_24 ),
    inference(resolution,[],[f2729,f267]) ).

fof(f2731,plain,
    r1(sK6(sK11),sK1(sK6(sK11))),
    inference(resolution,[],[f2729,f456]) ).

fof(f2765,plain,
    ( p1(sK1(sK6(sK11)))
    | ~ spl56_24 ),
    inference(resolution,[],[f2730,f2731]) ).

fof(f2766,plain,
    ( $false
    | ~ spl56_24 ),
    inference(unit_resulting_resolution,[],[f97,f82,f87,f86,f85,f84,f83,f2729,f2765]) ).

fof(f2774,plain,
    ~ spl56_24,
    inference(avatar_contradiction_clause,[],[f2766]) ).

cnf(s12,plain,
    ( spl56_23
    | spl56_24 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s14,plain,
    ( ~ spl56_23
    | spl56_24
    | spl56_27 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s200,plain,
    ~ spl56_27,
    inference(sat_conversion,[],[f2004]) ).

cnf(s287,plain,
    ~ spl56_24,
    inference(sat_conversion,[],[f2774]) ).

cnf(s301,plain,
    ~ spl56_23,
    inference(rat,[],[s14,s200,s287]) ).

cnf(s302,plain,
    $false,
    inference(rat,[],[s12,s287,s301]) ).

fof(f2800,plain,
    $false,
    inference(avatar_sat_refutation,[],[s302]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL638+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n020.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 16:09:49 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45  Running first-order theorem proving
% 0.13/0.45  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.61/3.42  % (3574138)Detected formulas, will run a generic FOF schedule.
% 14.61/3.42  % (3574146)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2551234421:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.61/3.42  % (3574149)dis-21_1_sil=8000:lcm=predicate:random_seed=2353468103: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)
% 14.61/3.42  % (3574146)Instruction limit reached! 
% 14.61/3.42  % (3574146)------------------------------
% 14.61/3.42  % (3574146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574146)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574146)Termination reason: Instruction limit
% 14.61/3.42  % (3574146)Termination phase: Saturation
% 14.61/3.42  % (3574146)Time elapsed: 0.055 s
% 14.61/3.42  % (3574146)Peak memory usage: 94 MB
% 14.61/3.42  % (3574146)Instructions burned: 110 (million)
% 14.61/3.42  % (3574145)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=18393621:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.61/3.42  % (3574143)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=3225292186:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.61/3.42  % (3574144)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=667489063:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.61/3.42  % (3574148)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=510235215:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.61/3.42  % (3574147)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2137530465:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.61/3.42  % (3574149)Instruction limit reached! 
% 14.61/3.42  % (3574149)------------------------------
% 14.61/3.42  % (3574149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574149)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574149)Termination reason: Instruction limit
% 14.61/3.42  % (3574149)Termination phase: Saturation
% 14.61/3.42  % (3574149)Time elapsed: 0.103 s
% 14.61/3.42  % (3574149)Peak memory usage: 89 MB
% 14.61/3.42  % (3574149)Instructions burned: 129 (million)
% 14.61/3.42  % (3574147)Instruction limit reached! 
% 14.61/3.42  % (3574147)------------------------------
% 14.61/3.42  % (3574147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574147)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574147)Termination reason: Instruction limit
% 14.61/3.42  % (3574147)Termination phase: Saturation
% 14.61/3.42  % (3574147)Time elapsed: 0.095 s
% 14.61/3.42  % (3574147)Peak memory usage: 88 MB
% 14.61/3.42  % (3574147)Instructions burned: 119 (million)
% 14.61/3.42  % (3574148)Instruction limit reached! 
% 14.61/3.42  % (3574148)------------------------------
% 14.61/3.42  % (3574148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574148)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574148)Termination reason: Instruction limit
% 14.61/3.42  % (3574148)Termination phase: Saturation
% 14.61/3.42  % (3574148)Time elapsed: 0.119 s
% 14.61/3.42  % (3574148)Peak memory usage: 89 MB
% 14.61/3.42  % (3574148)Instructions burned: 140 (million)
% 14.61/3.42  % (3574155)lrs+10_1_sil=8000:sp=occurrence:random_seed=2240727442:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.61/3.42  % (3574158)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3524582010:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 14.61/3.42  % (3574159)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3322057764:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 14.61/3.42  % (3574155)Instruction limit reached! 
% 14.61/3.42  % (3574155)------------------------------
% 14.61/3.42  % (3574155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574155)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574155)Termination reason: Instruction limit
% 14.61/3.42  % (3574155)Termination phase: Saturation
% 14.61/3.42  % (3574155)Time elapsed: 0.136 s
% 14.61/3.42  % (3574155)Peak memory usage: 93 MB
% 14.61/3.42  % (3574155)Instructions burned: 288 (million)
% 14.61/3.42  % (3574160)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1946092267:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 14.61/3.42  % (3574158)Instruction limit reached! 
% 14.61/3.42  % (3574158)------------------------------
% 14.61/3.42  % (3574158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574158)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574158)Termination reason: Instruction limit
% 14.61/3.42  % (3574158)Termination phase: Saturation
% 14.61/3.42  % (3574158)Time elapsed: 0.130 s
% 14.61/3.42  % (3574158)Peak memory usage: 88 MB
% 14.61/3.42  % (3574158)Instructions burned: 157 (million)
% 14.61/3.42  % (3574159)Instruction limit reached! 
% 14.61/3.42  % (3574159)------------------------------
% 14.61/3.42  % (3574159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574159)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574159)Termination reason: Instruction limit
% 14.61/3.42  % (3574159)Termination phase: Saturation
% 14.61/3.42  % (3574159)Time elapsed: 0.251 s
% 14.61/3.42  % (3574159)Peak memory usage: 90 MB
% 14.61/3.42  % (3574159)Instructions burned: 326 (million)
% 14.61/3.42  % (3574164)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1917602596:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.61/3.42  % (3574160)Instruction limit reached! 
% 14.61/3.42  % (3574160)------------------------------
% 14.61/3.42  % (3574160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574160)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574160)Termination reason: Instruction limit
% 14.61/3.42  % (3574160)Termination phase: Saturation
% 14.61/3.42  % (3574160)Time elapsed: 0.203 s
% 14.61/3.42  % (3574160)Peak memory usage: 89 MB
% 14.61/3.42  % (3574160)Instructions burned: 248 (million)
% 14.61/3.42  % (3574166)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4136108130:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 14.61/3.42  % (3574164)Instruction limit reached! 
% 14.61/3.42  % (3574164)------------------------------
% 14.61/3.42  % (3574164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574164)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574164)Termination reason: Instruction limit
% 14.61/3.42  % (3574164)Termination phase: Saturation
% 14.61/3.42  % (3574164)Time elapsed: 0.113 s
% 14.61/3.42  % (3574164)Peak memory usage: 89 MB
% 14.61/3.42  % (3574164)Instructions burned: 295 (million)
% 14.61/3.42  % (3574167)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3472857540:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 14.61/3.42  % (3574169)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2884682055:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 14.61/3.42  % (3574171)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1090444863:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 14.61/3.42  % (3574167)Instruction limit reached! 
% 14.61/3.42  % (3574167)------------------------------
% 14.61/3.42  % (3574167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574167)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574167)Termination reason: Instruction limit
% 14.61/3.42  % (3574167)Termination phase: Saturation
% 14.61/3.42  % (3574167)Time elapsed: 0.103 s
% 14.61/3.42  % (3574167)Peak memory usage: 90 MB
% 14.61/3.42  % (3574167)Instructions burned: 113 (million)
% 14.61/3.42  % (3574171)Instruction limit reached! 
% 14.61/3.42  % (3574171)------------------------------
% 14.61/3.42  % (3574171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574171)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574171)Termination reason: Instruction limit
% 14.61/3.42  % (3574171)Termination phase: Saturation
% 14.61/3.42  % (3574171)Time elapsed: 0.052 s
% 14.61/3.42  % (3574171)Peak memory usage: 89 MB
% 14.61/3.42  % (3574171)Instructions burned: 115 (million)
% 14.61/3.42  % (3574169)Instruction limit reached! 
% 14.61/3.42  % (3574169)------------------------------
% 14.61/3.42  % (3574169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.42  % (3574169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.42  % (3574169)CaDiCaL version: 2.1.3
% 14.61/3.42  % (3574169)Termination reason: Instruction limit
% 14.61/3.42  % (3574169)Termination phase: Saturation
% 14.61/3.42  % (3574169)Time elapsed: 0.124 s
% 14.61/3.42  % (3574169)Peak memory usage: 89 MB
% 14.61/3.42  % (3574169)Instructions burned: 127 (million)
% 14.61/3.42  % (3574176)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=22079050:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 14.61/3.42  % (3574175)lrs+10_1_sil=8000:sp=occurrence:random_seed=119644454:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 14.61/3.43  % (3574177)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4285156828:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 14.61/3.43  % (3574176)Instruction limit reached! 
% 14.61/3.43  % (3574176)------------------------------
% 14.61/3.43  % (3574176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.43  % (3574176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.43  % (3574176)CaDiCaL version: 2.1.3
% 14.61/3.43  % (3574176)Termination reason: Instruction limit
% 14.61/3.43  % (3574176)Termination phase: Saturation
% 14.61/3.43  % (3574176)Time elapsed: 0.180 s
% 14.61/3.43  % (3574176)Peak memory usage: 91 MB
% 14.61/3.43  % (3574176)Instructions burned: 439 (million)
% 14.61/3.43  % (3574181)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1485211236:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 14.61/3.43  % (3574144)First to succeed.
% 14.61/3.43  % (3574144)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3574138"
% 14.61/3.43  % (3574181)Instruction limit reached! 
% 14.61/3.43  % (3574181)------------------------------
% 14.61/3.43  % (3574181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.43  % (3574181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.43  % (3574181)CaDiCaL version: 2.1.3
% 14.61/3.43  % (3574181)Termination reason: Instruction limit
% 14.61/3.43  % (3574181)Termination phase: Saturation
% 14.61/3.43  % (3574181)Time elapsed: 0.111 s
% 14.61/3.43  % (3574181)Peak memory usage: 89 MB
% 14.61/3.43  % (3574181)Instructions burned: 134 (million)
% 14.61/3.43  % (3574166)Also succeeded, but the first one will report.
% 14.61/3.43  % (3574143)Also succeeded, but the first one will report.
% 14.61/3.43  % (3574175)Instruction limit reached! 
% 14.61/3.43  % (3574175)------------------------------
% 14.61/3.43  % (3574175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.61/3.43  % (3574175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.61/3.43  % (3574175)CaDiCaL version: 2.1.3
% 14.61/3.43  % (3574175)Termination reason: Instruction limit
% 14.61/3.43  % (3574175)Termination phase: Saturation
% 14.61/3.43  % (3574175)Time elapsed: 0.798 s
% 14.61/3.43  % (3574175)Peak memory usage: 103 MB
% 14.61/3.43  % (3574175)Instructions burned: 908 (million)
% 14.61/3.43  % (3574183)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2086077628:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 14.61/3.43  % (3574144)Refutation found. Thanks to Tanya!
% 14.61/3.43  % SZS status Theorem for theBenchmark
% 14.61/3.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/3.71  % (3574144)------------------------------
% 0.21/3.71  % (3574144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/3.71  % (3574144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/3.71  % (3574144)CaDiCaL version: 2.1.3
% 0.21/3.71  % (3574144)Termination reason: Refutation
% 0.21/3.71  % (3574144)Time elapsed: 1.735 s
% 0.21/3.71  % (3574144)Peak memory usage: 133 MB
% 0.21/3.71  % (3574144)Instructions burned: 1697 (million)
% 0.21/3.71  % (3574144)------------------------------
% 0.21/3.71  % (3574144)------------------------------
% 0.21/3.71  % (3574138)Success in time 2.429 s
% 0.21/3.71  % Vampire exiting
%------------------------------------------------------------------------------