↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL670+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 11:55:40 AM UTC 2026

% Result   : Theorem 11.21s 2.56s
% Output   : Refutation 12.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  126 (  28 unt;   9 def)
%            Number of atoms       : 2481 (   0 equ)
%            Maximal formula atoms :  229 (  19 avg)
%            Number of connectives : 4396 (2041   ~;1705   |; 643   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  103 (  11 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   8 prp; 0-2 aty)
%            Number of functors    :   69 (  69 usr;  41 con; 0-1 aty)
%            Number of variables   : 1566 (   0 sgn1277   !; 289   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ p4(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)
                                                                                      | ~ ( ~ ! [X1] :
                                                                                                ( ~ r1(X0,X1)
                                                                                                | ~ ( ~ ! [X0] :
                                                                                                          ( ~ r1(X1,X0)
                                                                                                          | ~ ( ~ ! [X1] :
                                                                                                                    ( ~ r1(X0,X1)
                                                                                                                    | ~ ! [X0] :
                                                                                                                          ( ~ r1(X1,X0)
                                                                                                                          | ! [X1] :
                                                                                                                              ( ~ r1(X0,X1)
                                                                                                                              | p3(X1) )
                                                                                                                          | ~ p2(X0) ) )
                                                                                                              | ~ ! [X1] :
                                                                                                                    ( ~ r1(X0,X1)
                                                                                                                    | ~ ( ~ ! [X0] :
                                                                                                                              ( ~ r1(X1,X0)
                                                                                                                              | ~ ( ! [X1] :
                                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                                      | p3(X1) )
                                                                                                                                  | ~ p2(X0) ) )
                                                                                                                        & p2(X1)
                                                                                                                        & ~ ! [X0] :
                                                                                                                              ( ~ r1(X1,X0)
                                                                                                                              | ~ ! [X1] :
                                                                                                                                    ( ~ r1(X0,X1)
                                                                                                                                    | ~ ! [X0] :
                                                                                                                                          ( ~ r1(X1,X0)
                                                                                                                                          | ~ p2(X0) ) ) ) ) )
                                                                                                              | ( ~ ! [X1] :
                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                      | ! [X0] :
                                                                                                                          ( ~ r1(X1,X0)
                                                                                                                          | ~ ! [X1] :
                                                                                                                                ( ~ r1(X0,X1)
                                                                                                                                | ! [X0] :
                                                                                                                                    ( ~ r1(X1,X0)
                                                                                                                                    | p3(X0) )
                                                                                                                                | ~ p2(X1) ) ) )
                                                                                                                & ! [X1] :
                                                                                                                    ( ~ r1(X0,X1)
                                                                                                                    | ~ ! [X0] :
                                                                                                                          ( ~ r1(X1,X0)
                                                                                                                          | ~ p2(X0) ) ) ) ) )
                                                                                                    | ~ ! [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)
                                                                                                              | p1(X1) ) )
                                                                                                    & ! [X0] :
                                                                                                        ( ~ r1(X1,X0)
                                                                                                        | p1(X0) ) ) ) ) )
                                                                                | ~ ! [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)
                                                                                          | p1(X1) ) )
                                                                                & ! [X0] :
                                                                                    ( ~ r1(X1,X0)
                                                                                    | p1(X0) ) ) ) ) )
                                                            | ~ ! [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)
                                                                      | p1(X1) ) )
                                                            & ! [X0] :
                                                                ( ~ r1(X1,X0)
                                                                | p1(X0) ) ) ) ) )
                                        | ~ ! [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)
                                                  | p1(X1) ) )
                                        & ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | p1(X0) ) ) ) ) )
                    | ~ ! [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)
                              | p1(X1) ) )
                    & ! [X0] :
                        ( ~ r1(X1,X0)
                        | p1(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) ) )
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | p1(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) ) )
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(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) ) )
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(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) ) )
                                          | ! [X1] :
                                              ( ~ r1(X0,X1)
                                              | p1(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) ) )
                                                  | ! [X1] :
                                                      ( ~ r1(X0,X1)
                                                      | p1(X1) ) )
                                              | ! [X0] :
                                                  ( ~ r1(X1,X0)
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X0,X1)
                                                        | ~ ! [X0] :
                                                              ( ~ r1(X1,X0)
                                                              | p2(X0) ) ) )
                                              | ~ ! [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)
                                                        | ~ p1(X1) ) )
                                                | ~ ! [X0] :
                                                      ( ~ r1(X1,X0)
                                                      | ~ p1(X0) ) ) )
                                      | ~ ! [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)
                                                | ~ p1(X1) ) )
                                        | ~ ! [X0] :
                                              ( ~ r1(X1,X0)
                                              | ~ p1(X0) ) ) )
                              | ~ ! [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)
                                        | ~ p1(X1) ) )
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | ~ p1(X0) ) ) )
                      | ~ ! [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)
                                | ~ p1(X1) ) )
                        | ~ ! [X0] :
                              ( ~ r1(X1,X0)
                              | ~ p1(X0) ) ) )
              | ~ ! [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)
                        | ~ p1(X1) ) )
                | ~ ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ p1(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ p4(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)
                                                                                        | ~ ( ~ ! [X1] :
                                                                                                  ( ~ r1(X0,X1)
                                                                                                  | ~ ( ~ ! [X0] :
                                                                                                            ( ~ r1(X1,X0)
                                                                                                            | ~ ( ~ ! [X1] :
                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                      | ~ ! [X0] :
                                                                                                                            ( ~ r1(X1,X0)
                                                                                                                            | ! [X1] :
                                                                                                                                ( ~ r1(X0,X1)
                                                                                                                                | p3(X1) )
                                                                                                                            | ~ p2(X0) ) )
                                                                                                                | ~ ! [X1] :
                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                      | ~ ( ~ ! [X0] :
                                                                                                                                ( ~ r1(X1,X0)
                                                                                                                                | ~ ( ! [X1] :
                                                                                                                                        ( ~ r1(X0,X1)
                                                                                                                                        | p3(X1) )
                                                                                                                                    | ~ p2(X0) ) )
                                                                                                                          & p2(X1)
                                                                                                                          & ~ ! [X0] :
                                                                                                                                ( ~ r1(X1,X0)
                                                                                                                                | ~ ! [X1] :
                                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                                      | ~ ! [X0] :
                                                                                                                                            ( ~ r1(X1,X0)
                                                                                                                                            | ~ p2(X0) ) ) ) ) )
                                                                                                                | ( ~ ! [X1] :
                                                                                                                        ( ~ r1(X0,X1)
                                                                                                                        | ! [X0] :
                                                                                                                            ( ~ r1(X1,X0)
                                                                                                                            | ~ ! [X1] :
                                                                                                                                  ( ~ r1(X0,X1)
                                                                                                                                  | ! [X0] :
                                                                                                                                      ( ~ r1(X1,X0)
                                                                                                                                      | p3(X0) )
                                                                                                                                  | ~ p2(X1) ) ) )
                                                                                                                  & ! [X1] :
                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                      | ~ ! [X0] :
                                                                                                                            ( ~ r1(X1,X0)
                                                                                                                            | ~ p2(X0) ) ) ) ) )
                                                                                                      | ~ ! [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)
                                                                                                                | p1(X1) ) )
                                                                                                      & ! [X0] :
                                                                                                          ( ~ r1(X1,X0)
                                                                                                          | p1(X0) ) ) ) ) )
                                                                                  | ~ ! [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)
                                                                                            | p1(X1) ) )
                                                                                  & ! [X0] :
                                                                                      ( ~ r1(X1,X0)
                                                                                      | p1(X0) ) ) ) ) )
                                                              | ~ ! [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)
                                                                        | p1(X1) ) )
                                                              & ! [X0] :
                                                                  ( ~ r1(X1,X0)
                                                                  | p1(X0) ) ) ) ) )
                                          | ~ ! [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)
                                                    | p1(X1) ) )
                                          & ! [X0] :
                                              ( ~ r1(X1,X0)
                                              | p1(X0) ) ) ) ) )
                      | ~ ! [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)
                                | p1(X1) ) )
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p1(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) ) )
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | p1(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) ) )
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(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) ) )
                                    | ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | p1(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) ) )
                                            | ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | p1(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) ) )
                                                    | ! [X1] :
                                                        ( ~ r1(X0,X1)
                                                        | p1(X1) ) )
                                                | ! [X0] :
                                                    ( ~ r1(X1,X0)
                                                    | ~ ! [X1] :
                                                          ( ~ r1(X0,X1)
                                                          | ~ ! [X0] :
                                                                ( ~ r1(X1,X0)
                                                                | p2(X0) ) ) )
                                                | ~ ! [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)
                                                          | ~ p1(X1) ) )
                                                  | ~ ! [X0] :
                                                        ( ~ r1(X1,X0)
                                                        | ~ p1(X0) ) ) )
                                        | ~ ! [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)
                                                  | ~ p1(X1) ) )
                                          | ~ ! [X0] :
                                                ( ~ r1(X1,X0)
                                                | ~ p1(X0) ) ) )
                                | ~ ! [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)
                                          | ~ p1(X1) ) )
                                  | ~ ! [X0] :
                                        ( ~ r1(X1,X0)
                                        | ~ p1(X0) ) ) )
                        | ~ ! [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)
                                  | ~ p1(X1) ) )
                          | ~ ! [X0] :
                                ( ~ r1(X1,X0)
                                | ~ p1(X0) ) ) )
                | ~ ! [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)
                          | ~ p1(X1) ) )
                  | ~ ! [X0] :
                        ( ~ r1(X1,X0)
                        | ~ p1(X0) ) ) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ p4(X1) )
            | ~ ! [X2] :
                  ( ~ r1(X0,X2)
                  | ~ ( ~ ! [X3] :
                            ( ~ r1(X2,X3)
                            | ~ ( ~ ! [X4] :
                                      ( ~ r1(X3,X4)
                                      | ~ ( ~ ! [X5] :
                                                ( ~ r1(X4,X5)
                                                | ~ ( ~ ! [X6] :
                                                          ( ~ r1(X5,X6)
                                                          | ~ ( ~ ! [X7] :
                                                                    ( ~ r1(X6,X7)
                                                                    | ~ ( ~ ! [X8] :
                                                                              ( ~ r1(X7,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)
                                                                                                                                | p3(X14) )
                                                                                                                            | ~ p2(X13) ) )
                                                                                                                | ~ ! [X15] :
                                                                                                                      ( ~ r1(X11,X15)
                                                                                                                      | ~ ( ~ ! [X16] :
                                                                                                                                ( ~ r1(X15,X16)
                                                                                                                                | ~ ( ! [X17] :
                                                                                                                                        ( ~ r1(X16,X17)
                                                                                                                                        | p3(X17) )
                                                                                                                                    | ~ p2(X16) ) )
                                                                                                                          & p2(X15)
                                                                                                                          & ~ ! [X18] :
                                                                                                                                ( ~ r1(X15,X18)
                                                                                                                                | ~ ! [X19] :
                                                                                                                                      ( ~ r1(X18,X19)
                                                                                                                                      | ~ ! [X20] :
                                                                                                                                            ( ~ r1(X19,X20)
                                                                                                                                            | ~ p2(X20) ) ) ) ) )
                                                                                                                | ( ~ ! [X21] :
                                                                                                                        ( ~ r1(X11,X21)
                                                                                                                        | ! [X22] :
                                                                                                                            ( ~ r1(X21,X22)
                                                                                                                            | ~ ! [X23] :
                                                                                                                                  ( ~ r1(X22,X23)
                                                                                                                                  | ! [X24] :
                                                                                                                                      ( ~ r1(X23,X24)
                                                                                                                                      | p3(X24) )
                                                                                                                                  | ~ p2(X23) ) ) )
                                                                                                                  & ! [X25] :
                                                                                                                      ( ~ r1(X11,X25)
                                                                                                                      | ~ ! [X26] :
                                                                                                                            ( ~ r1(X25,X26)
                                                                                                                            | ~ p2(X26) ) ) ) ) )
                                                                                                      | ~ ! [X27] :
                                                                                                            ( ~ r1(X10,X27)
                                                                                                            | ~ ( ~ ! [X28] :
                                                                                                                      ( ~ r1(X27,X28)
                                                                                                                      | ! [X29] :
                                                                                                                          ( ~ r1(X28,X29)
                                                                                                                          | p1(X29) ) )
                                                                                                                & ! [X30] :
                                                                                                                    ( ~ r1(X27,X30)
                                                                                                                    | p1(X30) ) ) ) ) )
                                                                                            | ~ ! [X31] :
                                                                                                  ( ~ r1(X9,X31)
                                                                                                  | ~ ( ~ ! [X32] :
                                                                                                            ( ~ r1(X31,X32)
                                                                                                            | ! [X33] :
                                                                                                                ( ~ r1(X32,X33)
                                                                                                                | p1(X33) ) )
                                                                                                      & ! [X34] :
                                                                                                          ( ~ r1(X31,X34)
                                                                                                          | p1(X34) ) ) ) ) )
                                                                                  | ~ ! [X35] :
                                                                                        ( ~ r1(X8,X35)
                                                                                        | ~ ( ~ ! [X36] :
                                                                                                  ( ~ r1(X35,X36)
                                                                                                  | ! [X37] :
                                                                                                      ( ~ r1(X36,X37)
                                                                                                      | p1(X37) ) )
                                                                                            & ! [X38] :
                                                                                                ( ~ r1(X35,X38)
                                                                                                | p1(X38) ) ) ) ) )
                                                                        | ~ ! [X39] :
                                                                              ( ~ r1(X7,X39)
                                                                              | ~ ( ~ ! [X40] :
                                                                                        ( ~ r1(X39,X40)
                                                                                        | ! [X41] :
                                                                                            ( ~ r1(X40,X41)
                                                                                            | p1(X41) ) )
                                                                                  & ! [X42] :
                                                                                      ( ~ r1(X39,X42)
                                                                                      | p1(X42) ) ) ) ) )
                                                              | ~ ! [X43] :
                                                                    ( ~ r1(X6,X43)
                                                                    | ~ ( ~ ! [X44] :
                                                                              ( ~ r1(X43,X44)
                                                                              | ! [X45] :
                                                                                  ( ~ r1(X44,X45)
                                                                                  | p1(X45) ) )
                                                                        & ! [X46] :
                                                                            ( ~ r1(X43,X46)
                                                                            | p1(X46) ) ) ) ) )
                                                    | ~ ! [X47] :
                                                          ( ~ r1(X5,X47)
                                                          | ~ ( ~ ! [X48] :
                                                                    ( ~ r1(X47,X48)
                                                                    | ! [X49] :
                                                                        ( ~ r1(X48,X49)
                                                                        | p1(X49) ) )
                                                              & ! [X50] :
                                                                  ( ~ r1(X47,X50)
                                                                  | p1(X50) ) ) ) ) )
                                          | ~ ! [X51] :
                                                ( ~ r1(X4,X51)
                                                | ~ ( ~ ! [X52] :
                                                          ( ~ r1(X51,X52)
                                                          | ! [X53] :
                                                              ( ~ r1(X52,X53)
                                                              | p1(X53) ) )
                                                    & ! [X54] :
                                                        ( ~ r1(X51,X54)
                                                        | p1(X54) ) ) ) ) )
                                | ~ ! [X55] :
                                      ( ~ r1(X3,X55)
                                      | ~ ( ~ ! [X56] :
                                                ( ~ r1(X55,X56)
                                                | ! [X57] :
                                                    ( ~ r1(X56,X57)
                                                    | p1(X57) ) )
                                          & ! [X58] :
                                              ( ~ r1(X55,X58)
                                              | p1(X58) ) ) ) ) )
                      | ~ ! [X59] :
                            ( ~ r1(X2,X59)
                            | ~ ( ~ ! [X60] :
                                      ( ~ r1(X59,X60)
                                      | ! [X61] :
                                          ( ~ r1(X60,X61)
                                          | p1(X61) ) )
                                & ! [X62] :
                                    ( ~ r1(X59,X62)
                                    | p1(X62) ) ) ) ) )
            | ~ ! [X63] :
                  ( ~ r1(X0,X63)
                  | ~ ( ~ ! [X64] :
                            ( ~ r1(X63,X64)
                            | ! [X65] :
                                ( ~ r1(X64,X65)
                                | p1(X65) ) )
                      & ! [X66] :
                          ( ~ r1(X63,X66)
                          | p1(X66) ) ) )
            | ! [X67] :
                ( ~ r1(X0,X67)
                | ! [X68] :
                    ( ~ r1(X67,X68)
                    | ~ ! [X69] :
                          ( ~ r1(X68,X69)
                          | p1(X69) ) )
                | ! [X70] :
                    ( ~ r1(X67,X70)
                    | p1(X70) ) )
            | ! [X71] :
                ( ~ r1(X0,X71)
                | ! [X72] :
                    ( ~ r1(X71,X72)
                    | ! [X73] :
                        ( ~ r1(X72,X73)
                        | ~ ! [X74] :
                              ( ~ r1(X73,X74)
                              | p1(X74) ) )
                    | ! [X75] :
                        ( ~ r1(X72,X75)
                        | p1(X75) ) )
                | ! [X76] :
                    ( ~ r1(X71,X76)
                    | ! [X77] :
                        ( ~ r1(X76,X77)
                        | ! [X78] :
                            ( ~ r1(X77,X78)
                            | ~ ! [X79] :
                                  ( ~ r1(X78,X79)
                                  | p1(X79) ) )
                        | ! [X80] :
                            ( ~ r1(X77,X80)
                            | p1(X80) ) )
                    | ! [X81] :
                        ( ~ r1(X76,X81)
                        | ! [X82] :
                            ( ~ r1(X81,X82)
                            | ! [X83] :
                                ( ~ r1(X82,X83)
                                | ~ ! [X84] :
                                      ( ~ r1(X83,X84)
                                      | p1(X84) ) )
                            | ! [X85] :
                                ( ~ r1(X82,X85)
                                | p1(X85) ) )
                        | ! [X86] :
                            ( ~ r1(X81,X86)
                            | ! [X87] :
                                ( ~ r1(X86,X87)
                                | ! [X88] :
                                    ( ~ r1(X87,X88)
                                    | ~ ! [X89] :
                                          ( ~ r1(X88,X89)
                                          | p1(X89) ) )
                                | ! [X90] :
                                    ( ~ r1(X87,X90)
                                    | p1(X90) ) )
                            | ! [X91] :
                                ( ~ r1(X86,X91)
                                | ! [X92] :
                                    ( ~ r1(X91,X92)
                                    | ! [X93] :
                                        ( ~ r1(X92,X93)
                                        | ~ ! [X94] :
                                              ( ~ r1(X93,X94)
                                              | p1(X94) ) )
                                    | ! [X95] :
                                        ( ~ r1(X92,X95)
                                        | p1(X95) ) )
                                | ! [X96] :
                                    ( ~ r1(X91,X96)
                                    | ! [X97] :
                                        ( ~ r1(X96,X97)
                                        | ! [X98] :
                                            ( ~ r1(X97,X98)
                                            | ~ ! [X99] :
                                                  ( ~ r1(X98,X99)
                                                  | p1(X99) ) )
                                        | ! [X100] :
                                            ( ~ r1(X97,X100)
                                            | p1(X100) ) )
                                    | ! [X101] :
                                        ( ~ r1(X96,X101)
                                        | ! [X102] :
                                            ( ~ r1(X101,X102)
                                            | ! [X103] :
                                                ( ~ r1(X102,X103)
                                                | ~ ! [X104] :
                                                      ( ~ r1(X103,X104)
                                                      | p1(X104) ) )
                                            | ! [X105] :
                                                ( ~ r1(X102,X105)
                                                | p1(X105) ) )
                                        | ! [X106] :
                                            ( ~ r1(X101,X106)
                                            | ! [X107] :
                                                ( ~ r1(X106,X107)
                                                | ! [X108] :
                                                    ( ~ r1(X107,X108)
                                                    | ~ ! [X109] :
                                                          ( ~ r1(X108,X109)
                                                          | p1(X109) ) )
                                                | ! [X110] :
                                                    ( ~ r1(X107,X110)
                                                    | p1(X110) ) )
                                            | ! [X111] :
                                                ( ~ r1(X106,X111)
                                                | ! [X112] :
                                                    ( ~ r1(X111,X112)
                                                    | ! [X113] :
                                                        ( ~ r1(X112,X113)
                                                        | ~ ! [X114] :
                                                              ( ~ r1(X113,X114)
                                                              | p1(X114) ) )
                                                    | ! [X115] :
                                                        ( ~ r1(X112,X115)
                                                        | p1(X115) ) )
                                                | ! [X116] :
                                                    ( ~ r1(X111,X116)
                                                    | ~ ! [X117] :
                                                          ( ~ r1(X116,X117)
                                                          | ~ ! [X118] :
                                                                ( ~ r1(X117,X118)
                                                                | p2(X118) ) ) )
                                                | ~ ! [X119] :
                                                      ( ~ r1(X111,X119)
                                                      | ! [X120] :
                                                          ( ~ r1(X119,X120)
                                                          | ! [X121] :
                                                              ( ~ r1(X120,X121)
                                                              | ~ p1(X121) ) )
                                                      | ~ ! [X122] :
                                                            ( ~ r1(X119,X122)
                                                            | ~ p1(X122) ) ) )
                                            | ~ ! [X123] :
                                                  ( ~ r1(X106,X123)
                                                  | ! [X124] :
                                                      ( ~ r1(X123,X124)
                                                      | ! [X125] :
                                                          ( ~ r1(X124,X125)
                                                          | ~ p1(X125) ) )
                                                  | ~ ! [X126] :
                                                        ( ~ r1(X123,X126)
                                                        | ~ p1(X126) ) ) )
                                        | ~ ! [X127] :
                                              ( ~ r1(X101,X127)
                                              | ! [X128] :
                                                  ( ~ r1(X127,X128)
                                                  | ! [X129] :
                                                      ( ~ r1(X128,X129)
                                                      | ~ p1(X129) ) )
                                              | ~ ! [X130] :
                                                    ( ~ r1(X127,X130)
                                                    | ~ p1(X130) ) ) )
                                    | ~ ! [X131] :
                                          ( ~ r1(X96,X131)
                                          | ! [X132] :
                                              ( ~ r1(X131,X132)
                                              | ! [X133] :
                                                  ( ~ r1(X132,X133)
                                                  | ~ p1(X133) ) )
                                          | ~ ! [X134] :
                                                ( ~ r1(X131,X134)
                                                | ~ p1(X134) ) ) )
                                | ~ ! [X135] :
                                      ( ~ r1(X91,X135)
                                      | ! [X136] :
                                          ( ~ r1(X135,X136)
                                          | ! [X137] :
                                              ( ~ r1(X136,X137)
                                              | ~ p1(X137) ) )
                                      | ~ ! [X138] :
                                            ( ~ r1(X135,X138)
                                            | ~ p1(X138) ) ) )
                            | ~ ! [X139] :
                                  ( ~ r1(X86,X139)
                                  | ! [X140] :
                                      ( ~ r1(X139,X140)
                                      | ! [X141] :
                                          ( ~ r1(X140,X141)
                                          | ~ p1(X141) ) )
                                  | ~ ! [X142] :
                                        ( ~ r1(X139,X142)
                                        | ~ p1(X142) ) ) )
                        | ~ ! [X143] :
                              ( ~ r1(X81,X143)
                              | ! [X144] :
                                  ( ~ r1(X143,X144)
                                  | ! [X145] :
                                      ( ~ r1(X144,X145)
                                      | ~ p1(X145) ) )
                              | ~ ! [X146] :
                                    ( ~ r1(X143,X146)
                                    | ~ p1(X146) ) ) )
                    | ~ ! [X147] :
                          ( ~ r1(X76,X147)
                          | ! [X148] :
                              ( ~ r1(X147,X148)
                              | ! [X149] :
                                  ( ~ r1(X148,X149)
                                  | ~ p1(X149) ) )
                          | ~ ! [X150] :
                                ( ~ r1(X147,X150)
                                | ~ p1(X150) ) ) )
                | ~ ! [X151] :
                      ( ~ r1(X71,X151)
                      | ! [X152] :
                          ( ~ r1(X151,X152)
                          | ! [X153] :
                              ( ~ r1(X152,X153)
                              | ~ p1(X153) ) )
                      | ~ ! [X154] :
                            ( ~ r1(X151,X154)
                            | ~ p1(X154) ) ) )
            | ~ ! [X155] :
                  ( ~ r1(X0,X155)
                  | ! [X156] :
                      ( ~ r1(X155,X156)
                      | ! [X157] :
                          ( ~ r1(X156,X157)
                          | ~ p1(X157) ) )
                  | ~ ! [X158] :
                        ( ~ r1(X155,X158)
                        | ~ p1(X158) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ~ ! [X1] :
              ( ~ r1(X0,X1)
              | ~ p4(X1) )
        | ~ ! [X2] :
              ( ~ r1(X0,X2)
              | ~ ( ~ ! [X3] :
                        ( ~ r1(X2,X3)
                        | ~ ( ~ ! [X4] :
                                  ( ~ r1(X3,X4)
                                  | ~ ( ~ ! [X5] :
                                            ( ~ r1(X4,X5)
                                            | ~ ( ~ ! [X6] :
                                                      ( ~ r1(X5,X6)
                                                      | ~ ( ~ ! [X7] :
                                                                ( ~ r1(X6,X7)
                                                                | ~ ( ~ ! [X8] :
                                                                          ( ~ r1(X7,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)
                                                                                                                            | p3(X14) )
                                                                                                                        | ~ p2(X13) ) )
                                                                                                            | ~ ! [X15] :
                                                                                                                  ( ~ r1(X11,X15)
                                                                                                                  | ~ ( ~ ! [X16] :
                                                                                                                            ( ~ r1(X15,X16)
                                                                                                                            | ~ ( ! [X17] :
                                                                                                                                    ( ~ r1(X16,X17)
                                                                                                                                    | p3(X17) )
                                                                                                                                | ~ p2(X16) ) )
                                                                                                                      & p2(X15)
                                                                                                                      & ~ ! [X18] :
                                                                                                                            ( ~ r1(X15,X18)
                                                                                                                            | ~ ! [X19] :
                                                                                                                                  ( ~ r1(X18,X19)
                                                                                                                                  | ~ ! [X20] :
                                                                                                                                        ( ~ r1(X19,X20)
                                                                                                                                        | ~ p2(X20) ) ) ) ) )
                                                                                                            | ( ~ ! [X21] :
                                                                                                                    ( ~ r1(X11,X21)
                                                                                                                    | ! [X22] :
                                                                                                                        ( ~ r1(X21,X22)
                                                                                                                        | ~ ! [X23] :
                                                                                                                              ( ~ r1(X22,X23)
                                                                                                                              | ! [X24] :
                                                                                                                                  ( ~ r1(X23,X24)
                                                                                                                                  | p3(X24) )
                                                                                                                              | ~ p2(X23) ) ) )
                                                                                                              & ! [X25] :
                                                                                                                  ( ~ r1(X11,X25)
                                                                                                                  | ~ ! [X26] :
                                                                                                                        ( ~ r1(X25,X26)
                                                                                                                        | ~ p2(X26) ) ) ) ) )
                                                                                                  | ~ ! [X27] :
                                                                                                        ( ~ r1(X10,X27)
                                                                                                        | ~ ( ~ ! [X28] :
                                                                                                                  ( ~ r1(X27,X28)
                                                                                                                  | ! [X29] :
                                                                                                                      ( ~ r1(X28,X29)
                                                                                                                      | p1(X29) ) )
                                                                                                            & ! [X30] :
                                                                                                                ( ~ r1(X27,X30)
                                                                                                                | p1(X30) ) ) ) ) )
                                                                                        | ~ ! [X31] :
                                                                                              ( ~ r1(X9,X31)
                                                                                              | ~ ( ~ ! [X32] :
                                                                                                        ( ~ r1(X31,X32)
                                                                                                        | ! [X33] :
                                                                                                            ( ~ r1(X32,X33)
                                                                                                            | p1(X33) ) )
                                                                                                  & ! [X34] :
                                                                                                      ( ~ r1(X31,X34)
                                                                                                      | p1(X34) ) ) ) ) )
                                                                              | ~ ! [X35] :
                                                                                    ( ~ r1(X8,X35)
                                                                                    | ~ ( ~ ! [X36] :
                                                                                              ( ~ r1(X35,X36)
                                                                                              | ! [X37] :
                                                                                                  ( ~ r1(X36,X37)
                                                                                                  | p1(X37) ) )
                                                                                        & ! [X38] :
                                                                                            ( ~ r1(X35,X38)
                                                                                            | p1(X38) ) ) ) ) )
                                                                    | ~ ! [X39] :
                                                                          ( ~ r1(X7,X39)
                                                                          | ~ ( ~ ! [X40] :
                                                                                    ( ~ r1(X39,X40)
                                                                                    | ! [X41] :
                                                                                        ( ~ r1(X40,X41)
                                                                                        | p1(X41) ) )
                                                                              & ! [X42] :
                                                                                  ( ~ r1(X39,X42)
                                                                                  | p1(X42) ) ) ) ) )
                                                          | ~ ! [X43] :
                                                                ( ~ r1(X6,X43)
                                                                | ~ ( ~ ! [X44] :
                                                                          ( ~ r1(X43,X44)
                                                                          | ! [X45] :
                                                                              ( ~ r1(X44,X45)
                                                                              | p1(X45) ) )
                                                                    & ! [X46] :
                                                                        ( ~ r1(X43,X46)
                                                                        | p1(X46) ) ) ) ) )
                                                | ~ ! [X47] :
                                                      ( ~ r1(X5,X47)
                                                      | ~ ( ~ ! [X48] :
                                                                ( ~ r1(X47,X48)
                                                                | ! [X49] :
                                                                    ( ~ r1(X48,X49)
                                                                    | p1(X49) ) )
                                                          & ! [X50] :
                                                              ( ~ r1(X47,X50)
                                                              | p1(X50) ) ) ) ) )
                                      | ~ ! [X51] :
                                            ( ~ r1(X4,X51)
                                            | ~ ( ~ ! [X52] :
                                                      ( ~ r1(X51,X52)
                                                      | ! [X53] :
                                                          ( ~ r1(X52,X53)
                                                          | p1(X53) ) )
                                                & ! [X54] :
                                                    ( ~ r1(X51,X54)
                                                    | p1(X54) ) ) ) ) )
                            | ~ ! [X55] :
                                  ( ~ r1(X3,X55)
                                  | ~ ( ~ ! [X56] :
                                            ( ~ r1(X55,X56)
                                            | ! [X57] :
                                                ( ~ r1(X56,X57)
                                                | p1(X57) ) )
                                      & ! [X58] :
                                          ( ~ r1(X55,X58)
                                          | p1(X58) ) ) ) ) )
                  | ~ ! [X59] :
                        ( ~ r1(X2,X59)
                        | ~ ( ~ ! [X60] :
                                  ( ~ r1(X59,X60)
                                  | ! [X61] :
                                      ( ~ r1(X60,X61)
                                      | p1(X61) ) )
                            & ! [X62] :
                                ( ~ r1(X59,X62)
                                | p1(X62) ) ) ) ) )
        | ~ ! [X63] :
              ( ~ r1(X0,X63)
              | ~ ( ~ ! [X64] :
                        ( ~ r1(X63,X64)
                        | ! [X65] :
                            ( ~ r1(X64,X65)
                            | p1(X65) ) )
                  & ! [X66] :
                      ( ~ r1(X63,X66)
                      | p1(X66) ) ) )
        | ! [X67] :
            ( ~ r1(X0,X67)
            | ! [X68] :
                ( ~ r1(X67,X68)
                | ~ ! [X69] :
                      ( ~ r1(X68,X69)
                      | p1(X69) ) )
            | ! [X70] :
                ( ~ r1(X67,X70)
                | p1(X70) ) )
        | ! [X71] :
            ( ~ r1(X0,X71)
            | ! [X72] :
                ( ~ r1(X71,X72)
                | ! [X73] :
                    ( ~ r1(X72,X73)
                    | ~ ! [X74] :
                          ( ~ r1(X73,X74)
                          | p1(X74) ) )
                | ! [X75] :
                    ( ~ r1(X72,X75)
                    | p1(X75) ) )
            | ! [X76] :
                ( ~ r1(X71,X76)
                | ! [X77] :
                    ( ~ r1(X76,X77)
                    | ! [X78] :
                        ( ~ r1(X77,X78)
                        | ~ ! [X79] :
                              ( ~ r1(X78,X79)
                              | p1(X79) ) )
                    | ! [X80] :
                        ( ~ r1(X77,X80)
                        | p1(X80) ) )
                | ! [X81] :
                    ( ~ r1(X76,X81)
                    | ! [X82] :
                        ( ~ r1(X81,X82)
                        | ! [X83] :
                            ( ~ r1(X82,X83)
                            | ~ ! [X84] :
                                  ( ~ r1(X83,X84)
                                  | p1(X84) ) )
                        | ! [X85] :
                            ( ~ r1(X82,X85)
                            | p1(X85) ) )
                    | ! [X86] :
                        ( ~ r1(X81,X86)
                        | ! [X87] :
                            ( ~ r1(X86,X87)
                            | ! [X88] :
                                ( ~ r1(X87,X88)
                                | ~ ! [X89] :
                                      ( ~ r1(X88,X89)
                                      | p1(X89) ) )
                            | ! [X90] :
                                ( ~ r1(X87,X90)
                                | p1(X90) ) )
                        | ! [X91] :
                            ( ~ r1(X86,X91)
                            | ! [X92] :
                                ( ~ r1(X91,X92)
                                | ! [X93] :
                                    ( ~ r1(X92,X93)
                                    | ~ ! [X94] :
                                          ( ~ r1(X93,X94)
                                          | p1(X94) ) )
                                | ! [X95] :
                                    ( ~ r1(X92,X95)
                                    | p1(X95) ) )
                            | ! [X96] :
                                ( ~ r1(X91,X96)
                                | ! [X97] :
                                    ( ~ r1(X96,X97)
                                    | ! [X98] :
                                        ( ~ r1(X97,X98)
                                        | ~ ! [X99] :
                                              ( ~ r1(X98,X99)
                                              | p1(X99) ) )
                                    | ! [X100] :
                                        ( ~ r1(X97,X100)
                                        | p1(X100) ) )
                                | ! [X101] :
                                    ( ~ r1(X96,X101)
                                    | ! [X102] :
                                        ( ~ r1(X101,X102)
                                        | ! [X103] :
                                            ( ~ r1(X102,X103)
                                            | ~ ! [X104] :
                                                  ( ~ r1(X103,X104)
                                                  | p1(X104) ) )
                                        | ! [X105] :
                                            ( ~ r1(X102,X105)
                                            | p1(X105) ) )
                                    | ! [X106] :
                                        ( ~ r1(X101,X106)
                                        | ! [X107] :
                                            ( ~ r1(X106,X107)
                                            | ! [X108] :
                                                ( ~ r1(X107,X108)
                                                | ~ ! [X109] :
                                                      ( ~ r1(X108,X109)
                                                      | p1(X109) ) )
                                            | ! [X110] :
                                                ( ~ r1(X107,X110)
                                                | p1(X110) ) )
                                        | ! [X111] :
                                            ( ~ r1(X106,X111)
                                            | ! [X112] :
                                                ( ~ r1(X111,X112)
                                                | ! [X113] :
                                                    ( ~ r1(X112,X113)
                                                    | ~ ! [X114] :
                                                          ( ~ r1(X113,X114)
                                                          | p1(X114) ) )
                                                | ! [X115] :
                                                    ( ~ r1(X112,X115)
                                                    | p1(X115) ) )
                                            | ! [X116] :
                                                ( ~ r1(X111,X116)
                                                | ~ ! [X117] :
                                                      ( ~ r1(X116,X117)
                                                      | ~ ! [X118] :
                                                            ( ~ r1(X117,X118)
                                                            | p2(X118) ) ) )
                                            | ~ ! [X119] :
                                                  ( ~ r1(X111,X119)
                                                  | ! [X120] :
                                                      ( ~ r1(X119,X120)
                                                      | ! [X121] :
                                                          ( ~ r1(X120,X121)
                                                          | ~ p1(X121) ) )
                                                  | ~ ! [X122] :
                                                        ( ~ r1(X119,X122)
                                                        | ~ p1(X122) ) ) )
                                        | ~ ! [X123] :
                                              ( ~ r1(X106,X123)
                                              | ! [X124] :
                                                  ( ~ r1(X123,X124)
                                                  | ! [X125] :
                                                      ( ~ r1(X124,X125)
                                                      | ~ p1(X125) ) )
                                              | ~ ! [X126] :
                                                    ( ~ r1(X123,X126)
                                                    | ~ p1(X126) ) ) )
                                    | ~ ! [X127] :
                                          ( ~ r1(X101,X127)
                                          | ! [X128] :
                                              ( ~ r1(X127,X128)
                                              | ! [X129] :
                                                  ( ~ r1(X128,X129)
                                                  | ~ p1(X129) ) )
                                          | ~ ! [X130] :
                                                ( ~ r1(X127,X130)
                                                | ~ p1(X130) ) ) )
                                | ~ ! [X131] :
                                      ( ~ r1(X96,X131)
                                      | ! [X132] :
                                          ( ~ r1(X131,X132)
                                          | ! [X133] :
                                              ( ~ r1(X132,X133)
                                              | ~ p1(X133) ) )
                                      | ~ ! [X134] :
                                            ( ~ r1(X131,X134)
                                            | ~ p1(X134) ) ) )
                            | ~ ! [X135] :
                                  ( ~ r1(X91,X135)
                                  | ! [X136] :
                                      ( ~ r1(X135,X136)
                                      | ! [X137] :
                                          ( ~ r1(X136,X137)
                                          | ~ p1(X137) ) )
                                  | ~ ! [X138] :
                                        ( ~ r1(X135,X138)
                                        | ~ p1(X138) ) ) )
                        | ~ ! [X139] :
                              ( ~ r1(X86,X139)
                              | ! [X140] :
                                  ( ~ r1(X139,X140)
                                  | ! [X141] :
                                      ( ~ r1(X140,X141)
                                      | ~ p1(X141) ) )
                              | ~ ! [X142] :
                                    ( ~ r1(X139,X142)
                                    | ~ p1(X142) ) ) )
                    | ~ ! [X143] :
                          ( ~ r1(X81,X143)
                          | ! [X144] :
                              ( ~ r1(X143,X144)
                              | ! [X145] :
                                  ( ~ r1(X144,X145)
                                  | ~ p1(X145) ) )
                          | ~ ! [X146] :
                                ( ~ r1(X143,X146)
                                | ~ p1(X146) ) ) )
                | ~ ! [X147] :
                      ( ~ r1(X76,X147)
                      | ! [X148] :
                          ( ~ r1(X147,X148)
                          | ! [X149] :
                              ( ~ r1(X148,X149)
                              | ~ p1(X149) ) )
                      | ~ ! [X150] :
                            ( ~ r1(X147,X150)
                            | ~ p1(X150) ) ) )
            | ~ ! [X151] :
                  ( ~ r1(X71,X151)
                  | ! [X152] :
                      ( ~ r1(X151,X152)
                      | ! [X153] :
                          ( ~ r1(X152,X153)
                          | ~ p1(X153) ) )
                  | ~ ! [X154] :
                        ( ~ r1(X151,X154)
                        | ~ p1(X154) ) ) )
        | ~ ! [X155] :
              ( ~ r1(X0,X155)
              | ! [X156] :
                  ( ~ r1(X155,X156)
                  | ! [X157] :
                      ( ~ r1(X156,X157)
                      | ~ p1(X157) ) )
              | ~ ! [X158] :
                    ( ~ r1(X155,X158)
                    | ~ p1(X158) ) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ~ p4(X1) )
      & ! [X2] :
          ( ~ r1(X0,X2)
          | ( ! [X3] :
                ( ~ r1(X2,X3)
                | ( ! [X4] :
                      ( ~ r1(X3,X4)
                      | ( ! [X5] :
                            ( ~ r1(X4,X5)
                            | ( ! [X6] :
                                  ( ~ r1(X5,X6)
                                  | ( ! [X7] :
                                        ( ~ r1(X6,X7)
                                        | ( ! [X8] :
                                              ( ~ r1(X7,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)
                                                                              & ~ p3(X14) )
                                                                          & p2(X13) ) )
                                                                  & ! [X15] :
                                                                      ( ~ r1(X11,X15)
                                                                      | ! [X16] :
                                                                          ( ~ r1(X15,X16)
                                                                          | ( ? [X17] :
                                                                                ( r1(X16,X17)
                                                                                & ~ p3(X17) )
                                                                            & p2(X16) ) )
                                                                      | ~ p2(X15)
                                                                      | ! [X18] :
                                                                          ( ~ r1(X15,X18)
                                                                          | ? [X19] :
                                                                              ( r1(X18,X19)
                                                                              & ! [X20] :
                                                                                  ( ~ r1(X19,X20)
                                                                                  | ~ p2(X20) ) ) ) )
                                                                  & ( ! [X21] :
                                                                        ( ~ r1(X11,X21)
                                                                        | ! [X22] :
                                                                            ( ~ r1(X21,X22)
                                                                            | ? [X23] :
                                                                                ( r1(X22,X23)
                                                                                & ? [X24] :
                                                                                    ( r1(X23,X24)
                                                                                    & ~ p3(X24) )
                                                                                & p2(X23) ) ) )
                                                                    | ? [X25] :
                                                                        ( r1(X11,X25)
                                                                        & ! [X26] :
                                                                            ( ~ r1(X25,X26)
                                                                            | ~ p2(X26) ) ) ) ) )
                                                            & ! [X27] :
                                                                ( ~ r1(X10,X27)
                                                                | ! [X28] :
                                                                    ( ~ r1(X27,X28)
                                                                    | ! [X29] :
                                                                        ( ~ r1(X28,X29)
                                                                        | p1(X29) ) )
                                                                | ? [X30] :
                                                                    ( r1(X27,X30)
                                                                    & ~ p1(X30) ) ) ) )
                                                      & ! [X31] :
                                                          ( ~ r1(X9,X31)
                                                          | ! [X32] :
                                                              ( ~ r1(X31,X32)
                                                              | ! [X33] :
                                                                  ( ~ r1(X32,X33)
                                                                  | p1(X33) ) )
                                                          | ? [X34] :
                                                              ( r1(X31,X34)
                                                              & ~ p1(X34) ) ) ) )
                                                & ! [X35] :
                                                    ( ~ r1(X8,X35)
                                                    | ! [X36] :
                                                        ( ~ r1(X35,X36)
                                                        | ! [X37] :
                                                            ( ~ r1(X36,X37)
                                                            | p1(X37) ) )
                                                    | ? [X38] :
                                                        ( r1(X35,X38)
                                                        & ~ p1(X38) ) ) ) )
                                          & ! [X39] :
                                              ( ~ r1(X7,X39)
                                              | ! [X40] :
                                                  ( ~ r1(X39,X40)
                                                  | ! [X41] :
                                                      ( ~ r1(X40,X41)
                                                      | p1(X41) ) )
                                              | ? [X42] :
                                                  ( r1(X39,X42)
                                                  & ~ p1(X42) ) ) ) )
                                    & ! [X43] :
                                        ( ~ r1(X6,X43)
                                        | ! [X44] :
                                            ( ~ r1(X43,X44)
                                            | ! [X45] :
                                                ( ~ r1(X44,X45)
                                                | p1(X45) ) )
                                        | ? [X46] :
                                            ( r1(X43,X46)
                                            & ~ p1(X46) ) ) ) )
                              & ! [X47] :
                                  ( ~ r1(X5,X47)
                                  | ! [X48] :
                                      ( ~ r1(X47,X48)
                                      | ! [X49] :
                                          ( ~ r1(X48,X49)
                                          | p1(X49) ) )
                                  | ? [X50] :
                                      ( r1(X47,X50)
                                      & ~ p1(X50) ) ) ) )
                        & ! [X51] :
                            ( ~ r1(X4,X51)
                            | ! [X52] :
                                ( ~ r1(X51,X52)
                                | ! [X53] :
                                    ( ~ r1(X52,X53)
                                    | p1(X53) ) )
                            | ? [X54] :
                                ( r1(X51,X54)
                                & ~ p1(X54) ) ) ) )
                  & ! [X55] :
                      ( ~ r1(X3,X55)
                      | ! [X56] :
                          ( ~ r1(X55,X56)
                          | ! [X57] :
                              ( ~ r1(X56,X57)
                              | p1(X57) ) )
                      | ? [X58] :
                          ( r1(X55,X58)
                          & ~ p1(X58) ) ) ) )
            & ! [X59] :
                ( ~ r1(X2,X59)
                | ! [X60] :
                    ( ~ r1(X59,X60)
                    | ! [X61] :
                        ( ~ r1(X60,X61)
                        | p1(X61) ) )
                | ? [X62] :
                    ( r1(X59,X62)
                    & ~ p1(X62) ) ) ) )
      & ! [X63] :
          ( ~ r1(X0,X63)
          | ! [X64] :
              ( ~ r1(X63,X64)
              | ! [X65] :
                  ( ~ r1(X64,X65)
                  | p1(X65) ) )
          | ? [X66] :
              ( r1(X63,X66)
              & ~ p1(X66) ) )
      & ? [X67] :
          ( r1(X0,X67)
          & ? [X68] :
              ( r1(X67,X68)
              & ! [X69] :
                  ( ~ r1(X68,X69)
                  | p1(X69) ) )
          & ? [X70] :
              ( r1(X67,X70)
              & ~ p1(X70) ) )
      & ? [X71] :
          ( r1(X0,X71)
          & ? [X72] :
              ( r1(X71,X72)
              & ? [X73] :
                  ( r1(X72,X73)
                  & ! [X74] :
                      ( ~ r1(X73,X74)
                      | p1(X74) ) )
              & ? [X75] :
                  ( r1(X72,X75)
                  & ~ p1(X75) ) )
          & ? [X76] :
              ( r1(X71,X76)
              & ? [X77] :
                  ( r1(X76,X77)
                  & ? [X78] :
                      ( r1(X77,X78)
                      & ! [X79] :
                          ( ~ r1(X78,X79)
                          | p1(X79) ) )
                  & ? [X80] :
                      ( r1(X77,X80)
                      & ~ p1(X80) ) )
              & ? [X81] :
                  ( r1(X76,X81)
                  & ? [X82] :
                      ( r1(X81,X82)
                      & ? [X83] :
                          ( r1(X82,X83)
                          & ! [X84] :
                              ( ~ r1(X83,X84)
                              | p1(X84) ) )
                      & ? [X85] :
                          ( r1(X82,X85)
                          & ~ p1(X85) ) )
                  & ? [X86] :
                      ( r1(X81,X86)
                      & ? [X87] :
                          ( r1(X86,X87)
                          & ? [X88] :
                              ( r1(X87,X88)
                              & ! [X89] :
                                  ( ~ r1(X88,X89)
                                  | p1(X89) ) )
                          & ? [X90] :
                              ( r1(X87,X90)
                              & ~ p1(X90) ) )
                      & ? [X91] :
                          ( r1(X86,X91)
                          & ? [X92] :
                              ( r1(X91,X92)
                              & ? [X93] :
                                  ( r1(X92,X93)
                                  & ! [X94] :
                                      ( ~ r1(X93,X94)
                                      | p1(X94) ) )
                              & ? [X95] :
                                  ( r1(X92,X95)
                                  & ~ p1(X95) ) )
                          & ? [X96] :
                              ( r1(X91,X96)
                              & ? [X97] :
                                  ( r1(X96,X97)
                                  & ? [X98] :
                                      ( r1(X97,X98)
                                      & ! [X99] :
                                          ( ~ r1(X98,X99)
                                          | p1(X99) ) )
                                  & ? [X100] :
                                      ( r1(X97,X100)
                                      & ~ p1(X100) ) )
                              & ? [X101] :
                                  ( r1(X96,X101)
                                  & ? [X102] :
                                      ( r1(X101,X102)
                                      & ? [X103] :
                                          ( r1(X102,X103)
                                          & ! [X104] :
                                              ( ~ r1(X103,X104)
                                              | p1(X104) ) )
                                      & ? [X105] :
                                          ( r1(X102,X105)
                                          & ~ p1(X105) ) )
                                  & ? [X106] :
                                      ( r1(X101,X106)
                                      & ? [X107] :
                                          ( r1(X106,X107)
                                          & ? [X108] :
                                              ( r1(X107,X108)
                                              & ! [X109] :
                                                  ( ~ r1(X108,X109)
                                                  | p1(X109) ) )
                                          & ? [X110] :
                                              ( r1(X107,X110)
                                              & ~ p1(X110) ) )
                                      & ? [X111] :
                                          ( r1(X106,X111)
                                          & ? [X112] :
                                              ( r1(X111,X112)
                                              & ? [X113] :
                                                  ( r1(X112,X113)
                                                  & ! [X114] :
                                                      ( ~ r1(X113,X114)
                                                      | p1(X114) ) )
                                              & ? [X115] :
                                                  ( r1(X112,X115)
                                                  & ~ p1(X115) ) )
                                          & ? [X116] :
                                              ( r1(X111,X116)
                                              & ! [X117] :
                                                  ( ~ r1(X116,X117)
                                                  | ? [X118] :
                                                      ( r1(X117,X118)
                                                      & ~ p2(X118) ) ) )
                                          & ! [X119] :
                                              ( ~ r1(X111,X119)
                                              | ! [X120] :
                                                  ( ~ r1(X119,X120)
                                                  | ! [X121] :
                                                      ( ~ r1(X120,X121)
                                                      | ~ p1(X121) ) )
                                              | ? [X122] :
                                                  ( r1(X119,X122)
                                                  & p1(X122) ) ) )
                                      & ! [X123] :
                                          ( ~ r1(X106,X123)
                                          | ! [X124] :
                                              ( ~ r1(X123,X124)
                                              | ! [X125] :
                                                  ( ~ r1(X124,X125)
                                                  | ~ p1(X125) ) )
                                          | ? [X126] :
                                              ( r1(X123,X126)
                                              & p1(X126) ) ) )
                                  & ! [X127] :
                                      ( ~ r1(X101,X127)
                                      | ! [X128] :
                                          ( ~ r1(X127,X128)
                                          | ! [X129] :
                                              ( ~ r1(X128,X129)
                                              | ~ p1(X129) ) )
                                      | ? [X130] :
                                          ( r1(X127,X130)
                                          & p1(X130) ) ) )
                              & ! [X131] :
                                  ( ~ r1(X96,X131)
                                  | ! [X132] :
                                      ( ~ r1(X131,X132)
                                      | ! [X133] :
                                          ( ~ r1(X132,X133)
                                          | ~ p1(X133) ) )
                                  | ? [X134] :
                                      ( r1(X131,X134)
                                      & p1(X134) ) ) )
                          & ! [X135] :
                              ( ~ r1(X91,X135)
                              | ! [X136] :
                                  ( ~ r1(X135,X136)
                                  | ! [X137] :
                                      ( ~ r1(X136,X137)
                                      | ~ p1(X137) ) )
                              | ? [X138] :
                                  ( r1(X135,X138)
                                  & p1(X138) ) ) )
                      & ! [X139] :
                          ( ~ r1(X86,X139)
                          | ! [X140] :
                              ( ~ r1(X139,X140)
                              | ! [X141] :
                                  ( ~ r1(X140,X141)
                                  | ~ p1(X141) ) )
                          | ? [X142] :
                              ( r1(X139,X142)
                              & p1(X142) ) ) )
                  & ! [X143] :
                      ( ~ r1(X81,X143)
                      | ! [X144] :
                          ( ~ r1(X143,X144)
                          | ! [X145] :
                              ( ~ r1(X144,X145)
                              | ~ p1(X145) ) )
                      | ? [X146] :
                          ( r1(X143,X146)
                          & p1(X146) ) ) )
              & ! [X147] :
                  ( ~ r1(X76,X147)
                  | ! [X148] :
                      ( ~ r1(X147,X148)
                      | ! [X149] :
                          ( ~ r1(X148,X149)
                          | ~ p1(X149) ) )
                  | ? [X150] :
                      ( r1(X147,X150)
                      & p1(X150) ) ) )
          & ! [X151] :
              ( ~ r1(X71,X151)
              | ! [X152] :
                  ( ~ r1(X151,X152)
                  | ! [X153] :
                      ( ~ r1(X152,X153)
                      | ~ p1(X153) ) )
              | ? [X154] :
                  ( r1(X151,X154)
                  & p1(X154) ) ) )
      & ! [X155] :
          ( ~ r1(X0,X155)
          | ! [X156] :
              ( ~ r1(X155,X156)
              | ! [X157] :
                  ( ~ r1(X156,X157)
                  | ~ p1(X157) ) )
          | ? [X158] :
              ( r1(X155,X158)
              & p1(X158) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f7,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ~ p4(X1) )
      & ! [X2] :
          ( ~ r1(X0,X2)
          | ( ! [X3] :
                ( ~ r1(X2,X3)
                | ( ! [X4] :
                      ( ~ r1(X3,X4)
                      | ( ! [X5] :
                            ( ~ r1(X4,X5)
                            | ( ! [X6] :
                                  ( ~ r1(X5,X6)
                                  | ( ! [X7] :
                                        ( ~ r1(X6,X7)
                                        | ( ! [X8] :
                                              ( ~ r1(X7,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)
                                                                              & ~ p3(X14) )
                                                                          & p2(X13) ) )
                                                                  & ! [X15] :
                                                                      ( ~ r1(X11,X15)
                                                                      | ! [X16] :
                                                                          ( ~ r1(X15,X16)
                                                                          | ( ? [X17] :
                                                                                ( r1(X16,X17)
                                                                                & ~ p3(X17) )
                                                                            & p2(X16) ) )
                                                                      | ~ p2(X15)
                                                                      | ! [X18] :
                                                                          ( ~ r1(X15,X18)
                                                                          | ? [X19] :
                                                                              ( r1(X18,X19)
                                                                              & ! [X20] :
                                                                                  ( ~ r1(X19,X20)
                                                                                  | ~ p2(X20) ) ) ) )
                                                                  & ( ! [X21] :
                                                                        ( ~ r1(X11,X21)
                                                                        | ! [X22] :
                                                                            ( ~ r1(X21,X22)
                                                                            | ? [X23] :
                                                                                ( r1(X22,X23)
                                                                                & ? [X24] :
                                                                                    ( r1(X23,X24)
                                                                                    & ~ p3(X24) )
                                                                                & p2(X23) ) ) )
                                                                    | ? [X25] :
                                                                        ( r1(X11,X25)
                                                                        & ! [X26] :
                                                                            ( ~ r1(X25,X26)
                                                                            | ~ p2(X26) ) ) ) ) )
                                                            & ! [X27] :
                                                                ( ~ r1(X10,X27)
                                                                | ! [X28] :
                                                                    ( ~ r1(X27,X28)
                                                                    | ! [X29] :
                                                                        ( ~ r1(X28,X29)
                                                                        | p1(X29) ) )
                                                                | ? [X30] :
                                                                    ( r1(X27,X30)
                                                                    & ~ p1(X30) ) ) ) )
                                                      & ! [X31] :
                                                          ( ~ r1(X9,X31)
                                                          | ! [X32] :
                                                              ( ~ r1(X31,X32)
                                                              | ! [X33] :
                                                                  ( ~ r1(X32,X33)
                                                                  | p1(X33) ) )
                                                          | ? [X34] :
                                                              ( r1(X31,X34)
                                                              & ~ p1(X34) ) ) ) )
                                                & ! [X35] :
                                                    ( ~ r1(X8,X35)
                                                    | ! [X36] :
                                                        ( ~ r1(X35,X36)
                                                        | ! [X37] :
                                                            ( ~ r1(X36,X37)
                                                            | p1(X37) ) )
                                                    | ? [X38] :
                                                        ( r1(X35,X38)
                                                        & ~ p1(X38) ) ) ) )
                                          & ! [X39] :
                                              ( ~ r1(X7,X39)
                                              | ! [X40] :
                                                  ( ~ r1(X39,X40)
                                                  | ! [X41] :
                                                      ( ~ r1(X40,X41)
                                                      | p1(X41) ) )
                                              | ? [X42] :
                                                  ( r1(X39,X42)
                                                  & ~ p1(X42) ) ) ) )
                                    & ! [X43] :
                                        ( ~ r1(X6,X43)
                                        | ! [X44] :
                                            ( ~ r1(X43,X44)
                                            | ! [X45] :
                                                ( ~ r1(X44,X45)
                                                | p1(X45) ) )
                                        | ? [X46] :
                                            ( r1(X43,X46)
                                            & ~ p1(X46) ) ) ) )
                              & ! [X47] :
                                  ( ~ r1(X5,X47)
                                  | ! [X48] :
                                      ( ~ r1(X47,X48)
                                      | ! [X49] :
                                          ( ~ r1(X48,X49)
                                          | p1(X49) ) )
                                  | ? [X50] :
                                      ( r1(X47,X50)
                                      & ~ p1(X50) ) ) ) )
                        & ! [X51] :
                            ( ~ r1(X4,X51)
                            | ! [X52] :
                                ( ~ r1(X51,X52)
                                | ! [X53] :
                                    ( ~ r1(X52,X53)
                                    | p1(X53) ) )
                            | ? [X54] :
                                ( r1(X51,X54)
                                & ~ p1(X54) ) ) ) )
                  & ! [X55] :
                      ( ~ r1(X3,X55)
                      | ! [X56] :
                          ( ~ r1(X55,X56)
                          | ! [X57] :
                              ( ~ r1(X56,X57)
                              | p1(X57) ) )
                      | ? [X58] :
                          ( r1(X55,X58)
                          & ~ p1(X58) ) ) ) )
            & ! [X59] :
                ( ~ r1(X2,X59)
                | ! [X60] :
                    ( ~ r1(X59,X60)
                    | ! [X61] :
                        ( ~ r1(X60,X61)
                        | p1(X61) ) )
                | ? [X62] :
                    ( r1(X59,X62)
                    & ~ p1(X62) ) ) ) )
      & ! [X63] :
          ( ~ r1(X0,X63)
          | ! [X64] :
              ( ~ r1(X63,X64)
              | ! [X65] :
                  ( ~ r1(X64,X65)
                  | p1(X65) ) )
          | ? [X66] :
              ( r1(X63,X66)
              & ~ p1(X66) ) )
      & ? [X67] :
          ( r1(X0,X67)
          & ? [X68] :
              ( r1(X67,X68)
              & ! [X69] :
                  ( ~ r1(X68,X69)
                  | p1(X69) ) )
          & ? [X70] :
              ( r1(X67,X70)
              & ~ p1(X70) ) )
      & ? [X71] :
          ( r1(X0,X71)
          & ? [X72] :
              ( r1(X71,X72)
              & ? [X73] :
                  ( r1(X72,X73)
                  & ! [X74] :
                      ( ~ r1(X73,X74)
                      | p1(X74) ) )
              & ? [X75] :
                  ( r1(X72,X75)
                  & ~ p1(X75) ) )
          & ? [X76] :
              ( r1(X71,X76)
              & ? [X77] :
                  ( r1(X76,X77)
                  & ? [X78] :
                      ( r1(X77,X78)
                      & ! [X79] :
                          ( ~ r1(X78,X79)
                          | p1(X79) ) )
                  & ? [X80] :
                      ( r1(X77,X80)
                      & ~ p1(X80) ) )
              & ? [X81] :
                  ( r1(X76,X81)
                  & ? [X82] :
                      ( r1(X81,X82)
                      & ? [X83] :
                          ( r1(X82,X83)
                          & ! [X84] :
                              ( ~ r1(X83,X84)
                              | p1(X84) ) )
                      & ? [X85] :
                          ( r1(X82,X85)
                          & ~ p1(X85) ) )
                  & ? [X86] :
                      ( r1(X81,X86)
                      & ? [X87] :
                          ( r1(X86,X87)
                          & ? [X88] :
                              ( r1(X87,X88)
                              & ! [X89] :
                                  ( ~ r1(X88,X89)
                                  | p1(X89) ) )
                          & ? [X90] :
                              ( r1(X87,X90)
                              & ~ p1(X90) ) )
                      & ? [X91] :
                          ( r1(X86,X91)
                          & ? [X92] :
                              ( r1(X91,X92)
                              & ? [X93] :
                                  ( r1(X92,X93)
                                  & ! [X94] :
                                      ( ~ r1(X93,X94)
                                      | p1(X94) ) )
                              & ? [X95] :
                                  ( r1(X92,X95)
                                  & ~ p1(X95) ) )
                          & ? [X96] :
                              ( r1(X91,X96)
                              & ? [X97] :
                                  ( r1(X96,X97)
                                  & ? [X98] :
                                      ( r1(X97,X98)
                                      & ! [X99] :
                                          ( ~ r1(X98,X99)
                                          | p1(X99) ) )
                                  & ? [X100] :
                                      ( r1(X97,X100)
                                      & ~ p1(X100) ) )
                              & ? [X101] :
                                  ( r1(X96,X101)
                                  & ? [X102] :
                                      ( r1(X101,X102)
                                      & ? [X103] :
                                          ( r1(X102,X103)
                                          & ! [X104] :
                                              ( ~ r1(X103,X104)
                                              | p1(X104) ) )
                                      & ? [X105] :
                                          ( r1(X102,X105)
                                          & ~ p1(X105) ) )
                                  & ? [X106] :
                                      ( r1(X101,X106)
                                      & ? [X107] :
                                          ( r1(X106,X107)
                                          & ? [X108] :
                                              ( r1(X107,X108)
                                              & ! [X109] :
                                                  ( ~ r1(X108,X109)
                                                  | p1(X109) ) )
                                          & ? [X110] :
                                              ( r1(X107,X110)
                                              & ~ p1(X110) ) )
                                      & ? [X111] :
                                          ( r1(X106,X111)
                                          & ? [X112] :
                                              ( r1(X111,X112)
                                              & ? [X113] :
                                                  ( r1(X112,X113)
                                                  & ! [X114] :
                                                      ( ~ r1(X113,X114)
                                                      | p1(X114) ) )
                                              & ? [X115] :
                                                  ( r1(X112,X115)
                                                  & ~ p1(X115) ) )
                                          & ? [X116] :
                                              ( r1(X111,X116)
                                              & ! [X117] :
                                                  ( ~ r1(X116,X117)
                                                  | ? [X118] :
                                                      ( r1(X117,X118)
                                                      & ~ p2(X118) ) ) )
                                          & ! [X119] :
                                              ( ~ r1(X111,X119)
                                              | ! [X120] :
                                                  ( ~ r1(X119,X120)
                                                  | ! [X121] :
                                                      ( ~ r1(X120,X121)
                                                      | ~ p1(X121) ) )
                                              | ? [X122] :
                                                  ( r1(X119,X122)
                                                  & p1(X122) ) ) )
                                      & ! [X123] :
                                          ( ~ r1(X106,X123)
                                          | ! [X124] :
                                              ( ~ r1(X123,X124)
                                              | ! [X125] :
                                                  ( ~ r1(X124,X125)
                                                  | ~ p1(X125) ) )
                                          | ? [X126] :
                                              ( r1(X123,X126)
                                              & p1(X126) ) ) )
                                  & ! [X127] :
                                      ( ~ r1(X101,X127)
                                      | ! [X128] :
                                          ( ~ r1(X127,X128)
                                          | ! [X129] :
                                              ( ~ r1(X128,X129)
                                              | ~ p1(X129) ) )
                                      | ? [X130] :
                                          ( r1(X127,X130)
                                          & p1(X130) ) ) )
                              & ! [X131] :
                                  ( ~ r1(X96,X131)
                                  | ! [X132] :
                                      ( ~ r1(X131,X132)
                                      | ! [X133] :
                                          ( ~ r1(X132,X133)
                                          | ~ p1(X133) ) )
                                  | ? [X134] :
                                      ( r1(X131,X134)
                                      & p1(X134) ) ) )
                          & ! [X135] :
                              ( ~ r1(X91,X135)
                              | ! [X136] :
                                  ( ~ r1(X135,X136)
                                  | ! [X137] :
                                      ( ~ r1(X136,X137)
                                      | ~ p1(X137) ) )
                              | ? [X138] :
                                  ( r1(X135,X138)
                                  & p1(X138) ) ) )
                      & ! [X139] :
                          ( ~ r1(X86,X139)
                          | ! [X140] :
                              ( ~ r1(X139,X140)
                              | ! [X141] :
                                  ( ~ r1(X140,X141)
                                  | ~ p1(X141) ) )
                          | ? [X142] :
                              ( r1(X139,X142)
                              & p1(X142) ) ) )
                  & ! [X143] :
                      ( ~ r1(X81,X143)
                      | ! [X144] :
                          ( ~ r1(X143,X144)
                          | ! [X145] :
                              ( ~ r1(X144,X145)
                              | ~ p1(X145) ) )
                      | ? [X146] :
                          ( r1(X143,X146)
                          & p1(X146) ) ) )
              & ! [X147] :
                  ( ~ r1(X76,X147)
                  | ! [X148] :
                      ( ~ r1(X147,X148)
                      | ! [X149] :
                          ( ~ r1(X148,X149)
                          | ~ p1(X149) ) )
                  | ? [X150] :
                      ( r1(X147,X150)
                      & p1(X150) ) ) )
          & ! [X151] :
              ( ~ r1(X71,X151)
              | ! [X152] :
                  ( ~ r1(X151,X152)
                  | ! [X153] :
                      ( ~ r1(X152,X153)
                      | ~ p1(X153) ) )
              | ? [X154] :
                  ( r1(X151,X154)
                  & p1(X154) ) ) )
      & ! [X155] :
          ( ~ r1(X0,X155)
          | ! [X156] :
              ( ~ r1(X155,X156)
              | ! [X157] :
                  ( ~ r1(X156,X157)
                  | ~ p1(X157) ) )
          | ? [X158] :
              ( r1(X155,X158)
              & p1(X158) ) ) ),
    inference(flattening,[],[f6]) ).

fof(f8,definition,
    ! [X11] :
      ( ! [X21] :
          ( ~ r1(X11,X21)
          | ! [X22] :
              ( ~ r1(X21,X22)
              | ? [X23] :
                  ( r1(X22,X23)
                  & ? [X24] :
                      ( r1(X23,X24)
                      & ~ p3(X24) )
                  & p2(X23) ) ) )
      | ? [X25] :
          ( r1(X11,X25)
          & ! [X26] :
              ( ~ r1(X25,X26)
              | ~ p2(X26) ) )
      | ~ sP0(X11) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f9,definition,
    ! [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)
                                    & ~ p3(X14) )
                                & p2(X13) ) )
                        & ! [X15] :
                            ( ~ r1(X11,X15)
                            | ! [X16] :
                                ( ~ r1(X15,X16)
                                | ( ? [X17] :
                                      ( r1(X16,X17)
                                      & ~ p3(X17) )
                                  & p2(X16) ) )
                            | ~ p2(X15)
                            | ! [X18] :
                                ( ~ r1(X15,X18)
                                | ? [X19] :
                                    ( r1(X18,X19)
                                    & ! [X20] :
                                        ( ~ r1(X19,X20)
                                        | ~ p2(X20) ) ) ) )
                        & sP0(X11) ) )
                  & ! [X27] :
                      ( ~ r1(X10,X27)
                      | ! [X28] :
                          ( ~ r1(X27,X28)
                          | ! [X29] :
                              ( ~ r1(X28,X29)
                              | p1(X29) ) )
                      | ? [X30] :
                          ( r1(X27,X30)
                          & ~ p1(X30) ) ) ) )
            & ! [X31] :
                ( ~ r1(X9,X31)
                | ! [X32] :
                    ( ~ r1(X31,X32)
                    | ! [X33] :
                        ( ~ r1(X32,X33)
                        | p1(X33) ) )
                | ? [X34] :
                    ( r1(X31,X34)
                    & ~ p1(X34) ) ) ) )
      | ~ sP1(X8) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f10,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ~ p4(X1) )
      & ! [X2] :
          ( ~ r1(X0,X2)
          | ( ! [X3] :
                ( ~ r1(X2,X3)
                | ( ! [X4] :
                      ( ~ r1(X3,X4)
                      | ( ! [X5] :
                            ( ~ r1(X4,X5)
                            | ( ! [X6] :
                                  ( ~ r1(X5,X6)
                                  | ( ! [X7] :
                                        ( ~ r1(X6,X7)
                                        | ( ! [X8] :
                                              ( ~ r1(X7,X8)
                                              | ( sP1(X8)
                                                & ! [X35] :
                                                    ( ~ r1(X8,X35)
                                                    | ! [X36] :
                                                        ( ~ r1(X35,X36)
                                                        | ! [X37] :
                                                            ( ~ r1(X36,X37)
                                                            | p1(X37) ) )
                                                    | ? [X38] :
                                                        ( r1(X35,X38)
                                                        & ~ p1(X38) ) ) ) )
                                          & ! [X39] :
                                              ( ~ r1(X7,X39)
                                              | ! [X40] :
                                                  ( ~ r1(X39,X40)
                                                  | ! [X41] :
                                                      ( ~ r1(X40,X41)
                                                      | p1(X41) ) )
                                              | ? [X42] :
                                                  ( r1(X39,X42)
                                                  & ~ p1(X42) ) ) ) )
                                    & ! [X43] :
                                        ( ~ r1(X6,X43)
                                        | ! [X44] :
                                            ( ~ r1(X43,X44)
                                            | ! [X45] :
                                                ( ~ r1(X44,X45)
                                                | p1(X45) ) )
                                        | ? [X46] :
                                            ( r1(X43,X46)
                                            & ~ p1(X46) ) ) ) )
                              & ! [X47] :
                                  ( ~ r1(X5,X47)
                                  | ! [X48] :
                                      ( ~ r1(X47,X48)
                                      | ! [X49] :
                                          ( ~ r1(X48,X49)
                                          | p1(X49) ) )
                                  | ? [X50] :
                                      ( r1(X47,X50)
                                      & ~ p1(X50) ) ) ) )
                        & ! [X51] :
                            ( ~ r1(X4,X51)
                            | ! [X52] :
                                ( ~ r1(X51,X52)
                                | ! [X53] :
                                    ( ~ r1(X52,X53)
                                    | p1(X53) ) )
                            | ? [X54] :
                                ( r1(X51,X54)
                                & ~ p1(X54) ) ) ) )
                  & ! [X55] :
                      ( ~ r1(X3,X55)
                      | ! [X56] :
                          ( ~ r1(X55,X56)
                          | ! [X57] :
                              ( ~ r1(X56,X57)
                              | p1(X57) ) )
                      | ? [X58] :
                          ( r1(X55,X58)
                          & ~ p1(X58) ) ) ) )
            & ! [X59] :
                ( ~ r1(X2,X59)
                | ! [X60] :
                    ( ~ r1(X59,X60)
                    | ! [X61] :
                        ( ~ r1(X60,X61)
                        | p1(X61) ) )
                | ? [X62] :
                    ( r1(X59,X62)
                    & ~ p1(X62) ) ) ) )
      & ! [X63] :
          ( ~ r1(X0,X63)
          | ! [X64] :
              ( ~ r1(X63,X64)
              | ! [X65] :
                  ( ~ r1(X64,X65)
                  | p1(X65) ) )
          | ? [X66] :
              ( r1(X63,X66)
              & ~ p1(X66) ) )
      & ? [X67] :
          ( r1(X0,X67)
          & ? [X68] :
              ( r1(X67,X68)
              & ! [X69] :
                  ( ~ r1(X68,X69)
                  | p1(X69) ) )
          & ? [X70] :
              ( r1(X67,X70)
              & ~ p1(X70) ) )
      & ? [X71] :
          ( r1(X0,X71)
          & ? [X72] :
              ( r1(X71,X72)
              & ? [X73] :
                  ( r1(X72,X73)
                  & ! [X74] :
                      ( ~ r1(X73,X74)
                      | p1(X74) ) )
              & ? [X75] :
                  ( r1(X72,X75)
                  & ~ p1(X75) ) )
          & ? [X76] :
              ( r1(X71,X76)
              & ? [X77] :
                  ( r1(X76,X77)
                  & ? [X78] :
                      ( r1(X77,X78)
                      & ! [X79] :
                          ( ~ r1(X78,X79)
                          | p1(X79) ) )
                  & ? [X80] :
                      ( r1(X77,X80)
                      & ~ p1(X80) ) )
              & ? [X81] :
                  ( r1(X76,X81)
                  & ? [X82] :
                      ( r1(X81,X82)
                      & ? [X83] :
                          ( r1(X82,X83)
                          & ! [X84] :
                              ( ~ r1(X83,X84)
                              | p1(X84) ) )
                      & ? [X85] :
                          ( r1(X82,X85)
                          & ~ p1(X85) ) )
                  & ? [X86] :
                      ( r1(X81,X86)
                      & ? [X87] :
                          ( r1(X86,X87)
                          & ? [X88] :
                              ( r1(X87,X88)
                              & ! [X89] :
                                  ( ~ r1(X88,X89)
                                  | p1(X89) ) )
                          & ? [X90] :
                              ( r1(X87,X90)
                              & ~ p1(X90) ) )
                      & ? [X91] :
                          ( r1(X86,X91)
                          & ? [X92] :
                              ( r1(X91,X92)
                              & ? [X93] :
                                  ( r1(X92,X93)
                                  & ! [X94] :
                                      ( ~ r1(X93,X94)
                                      | p1(X94) ) )
                              & ? [X95] :
                                  ( r1(X92,X95)
                                  & ~ p1(X95) ) )
                          & ? [X96] :
                              ( r1(X91,X96)
                              & ? [X97] :
                                  ( r1(X96,X97)
                                  & ? [X98] :
                                      ( r1(X97,X98)
                                      & ! [X99] :
                                          ( ~ r1(X98,X99)
                                          | p1(X99) ) )
                                  & ? [X100] :
                                      ( r1(X97,X100)
                                      & ~ p1(X100) ) )
                              & ? [X101] :
                                  ( r1(X96,X101)
                                  & ? [X102] :
                                      ( r1(X101,X102)
                                      & ? [X103] :
                                          ( r1(X102,X103)
                                          & ! [X104] :
                                              ( ~ r1(X103,X104)
                                              | p1(X104) ) )
                                      & ? [X105] :
                                          ( r1(X102,X105)
                                          & ~ p1(X105) ) )
                                  & ? [X106] :
                                      ( r1(X101,X106)
                                      & ? [X107] :
                                          ( r1(X106,X107)
                                          & ? [X108] :
                                              ( r1(X107,X108)
                                              & ! [X109] :
                                                  ( ~ r1(X108,X109)
                                                  | p1(X109) ) )
                                          & ? [X110] :
                                              ( r1(X107,X110)
                                              & ~ p1(X110) ) )
                                      & ? [X111] :
                                          ( r1(X106,X111)
                                          & ? [X112] :
                                              ( r1(X111,X112)
                                              & ? [X113] :
                                                  ( r1(X112,X113)
                                                  & ! [X114] :
                                                      ( ~ r1(X113,X114)
                                                      | p1(X114) ) )
                                              & ? [X115] :
                                                  ( r1(X112,X115)
                                                  & ~ p1(X115) ) )
                                          & ? [X116] :
                                              ( r1(X111,X116)
                                              & ! [X117] :
                                                  ( ~ r1(X116,X117)
                                                  | ? [X118] :
                                                      ( r1(X117,X118)
                                                      & ~ p2(X118) ) ) )
                                          & ! [X119] :
                                              ( ~ r1(X111,X119)
                                              | ! [X120] :
                                                  ( ~ r1(X119,X120)
                                                  | ! [X121] :
                                                      ( ~ r1(X120,X121)
                                                      | ~ p1(X121) ) )
                                              | ? [X122] :
                                                  ( r1(X119,X122)
                                                  & p1(X122) ) ) )
                                      & ! [X123] :
                                          ( ~ r1(X106,X123)
                                          | ! [X124] :
                                              ( ~ r1(X123,X124)
                                              | ! [X125] :
                                                  ( ~ r1(X124,X125)
                                                  | ~ p1(X125) ) )
                                          | ? [X126] :
                                              ( r1(X123,X126)
                                              & p1(X126) ) ) )
                                  & ! [X127] :
                                      ( ~ r1(X101,X127)
                                      | ! [X128] :
                                          ( ~ r1(X127,X128)
                                          | ! [X129] :
                                              ( ~ r1(X128,X129)
                                              | ~ p1(X129) ) )
                                      | ? [X130] :
                                          ( r1(X127,X130)
                                          & p1(X130) ) ) )
                              & ! [X131] :
                                  ( ~ r1(X96,X131)
                                  | ! [X132] :
                                      ( ~ r1(X131,X132)
                                      | ! [X133] :
                                          ( ~ r1(X132,X133)
                                          | ~ p1(X133) ) )
                                  | ? [X134] :
                                      ( r1(X131,X134)
                                      & p1(X134) ) ) )
                          & ! [X135] :
                              ( ~ r1(X91,X135)
                              | ! [X136] :
                                  ( ~ r1(X135,X136)
                                  | ! [X137] :
                                      ( ~ r1(X136,X137)
                                      | ~ p1(X137) ) )
                              | ? [X138] :
                                  ( r1(X135,X138)
                                  & p1(X138) ) ) )
                      & ! [X139] :
                          ( ~ r1(X86,X139)
                          | ! [X140] :
                              ( ~ r1(X139,X140)
                              | ! [X141] :
                                  ( ~ r1(X140,X141)
                                  | ~ p1(X141) ) )
                          | ? [X142] :
                              ( r1(X139,X142)
                              & p1(X142) ) ) )
                  & ! [X143] :
                      ( ~ r1(X81,X143)
                      | ! [X144] :
                          ( ~ r1(X143,X144)
                          | ! [X145] :
                              ( ~ r1(X144,X145)
                              | ~ p1(X145) ) )
                      | ? [X146] :
                          ( r1(X143,X146)
                          & p1(X146) ) ) )
              & ! [X147] :
                  ( ~ r1(X76,X147)
                  | ! [X148] :
                      ( ~ r1(X147,X148)
                      | ! [X149] :
                          ( ~ r1(X148,X149)
                          | ~ p1(X149) ) )
                  | ? [X150] :
                      ( r1(X147,X150)
                      & p1(X150) ) ) )
          & ! [X151] :
              ( ~ r1(X71,X151)
              | ! [X152] :
                  ( ~ r1(X151,X152)
                  | ! [X153] :
                      ( ~ r1(X152,X153)
                      | ~ p1(X153) ) )
              | ? [X154] :
                  ( r1(X151,X154)
                  & p1(X154) ) ) )
      & ! [X155] :
          ( ~ r1(X0,X155)
          | ! [X156] :
              ( ~ r1(X155,X156)
              | ! [X157] :
                  ( ~ r1(X156,X157)
                  | ~ p1(X157) ) )
          | ? [X158] :
              ( r1(X155,X158)
              & p1(X158) ) ) ),
    inference(definition_folding,[],[f7,f9,f8]) ).

fof(f11,plain,
    ! [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)
                                    & ~ p3(X14) )
                                & p2(X13) ) )
                        & ! [X15] :
                            ( ~ r1(X11,X15)
                            | ! [X16] :
                                ( ~ r1(X15,X16)
                                | ( ? [X17] :
                                      ( r1(X16,X17)
                                      & ~ p3(X17) )
                                  & p2(X16) ) )
                            | ~ p2(X15)
                            | ! [X18] :
                                ( ~ r1(X15,X18)
                                | ? [X19] :
                                    ( r1(X18,X19)
                                    & ! [X20] :
                                        ( ~ r1(X19,X20)
                                        | ~ p2(X20) ) ) ) )
                        & sP0(X11) ) )
                  & ! [X27] :
                      ( ~ r1(X10,X27)
                      | ! [X28] :
                          ( ~ r1(X27,X28)
                          | ! [X29] :
                              ( ~ r1(X28,X29)
                              | p1(X29) ) )
                      | ? [X30] :
                          ( r1(X27,X30)
                          & ~ p1(X30) ) ) ) )
            & ! [X31] :
                ( ~ r1(X9,X31)
                | ! [X32] :
                    ( ~ r1(X31,X32)
                    | ! [X33] :
                        ( ~ r1(X32,X33)
                        | p1(X33) ) )
                | ? [X34] :
                    ( r1(X31,X34)
                    & ~ p1(X34) ) ) ) )
      | ~ sP1(X8) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f12,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)
                                    & ~ p3(X6) )
                                & p2(X5) ) )
                        & ! [X7] :
                            ( ~ r1(X3,X7)
                            | ! [X8] :
                                ( ~ r1(X7,X8)
                                | ( ? [X9] :
                                      ( r1(X8,X9)
                                      & ~ p3(X9) )
                                  & p2(X8) ) )
                            | ~ p2(X7)
                            | ! [X10] :
                                ( ~ r1(X7,X10)
                                | ? [X11] :
                                    ( r1(X10,X11)
                                    & ! [X12] :
                                        ( ~ r1(X11,X12)
                                        | ~ p2(X12) ) ) ) )
                        & sP0(X3) ) )
                  & ! [X13] :
                      ( ~ r1(X2,X13)
                      | ! [X14] :
                          ( ~ r1(X13,X14)
                          | ! [X15] :
                              ( ~ r1(X14,X15)
                              | p1(X15) ) )
                      | ? [X16] :
                          ( r1(X13,X16)
                          & ~ p1(X16) ) ) ) )
            & ! [X17] :
                ( ~ r1(X1,X17)
                | ! [X18] :
                    ( ~ r1(X17,X18)
                    | ! [X19] :
                        ( ~ r1(X18,X19)
                        | p1(X19) ) )
                | ? [X20] :
                    ( r1(X17,X20)
                    & ~ p1(X20) ) ) ) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f11]) ).

fof(f13,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ( ! [X2] :
                ( ~ r1(X1,X2)
                | ( ! [X3] :
                      ( ~ r1(X2,X3)
                      | ( ! [X4] :
                            ( ~ r1(X3,X4)
                            | ( r1(X4,sK2(X4))
                              & r1(sK2(X4),sK3(X4))
                              & ~ p3(sK3(X4))
                              & p2(sK2(X4)) ) )
                        & ! [X7] :
                            ( ~ r1(X3,X7)
                            | ! [X8] :
                                ( ~ r1(X7,X8)
                                | ( r1(X8,sK4(X8))
                                  & ~ p3(sK4(X8))
                                  & p2(X8) ) )
                            | ~ p2(X7)
                            | ! [X10] :
                                ( ~ r1(X7,X10)
                                | ( r1(X10,sK5(X10))
                                  & ! [X12] :
                                      ( ~ r1(sK5(X10),X12)
                                      | ~ p2(X12) ) ) ) )
                        & sP0(X3) ) )
                  & ! [X13] :
                      ( ~ r1(X2,X13)
                      | ! [X14] :
                          ( ~ r1(X13,X14)
                          | ! [X15] :
                              ( ~ r1(X14,X15)
                              | p1(X15) ) )
                      | ( r1(X13,sK6(X13))
                        & ~ p1(sK6(X13)) ) ) ) )
            & ! [X17] :
                ( ~ r1(X1,X17)
                | ! [X18] :
                    ( ~ r1(X17,X18)
                    | ! [X19] :
                        ( ~ r1(X18,X19)
                        | p1(X19) ) )
                | ( r1(X17,sK7(X17))
                  & ~ p1(sK7(X17)) ) ) ) )
      | ~ sP1(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X5,sK2(X4)),skolemize(X6,sK3(X4)),skolemize(X9,sK4(X8)),skolemize(X11,sK5(X10)),skolemize(X16,sK6(X13)),skolemize(X20,sK7(X17))],[f12]) ).

fof(f14,plain,
    ! [X11] :
      ( ! [X21] :
          ( ~ r1(X11,X21)
          | ! [X22] :
              ( ~ r1(X21,X22)
              | ? [X23] :
                  ( r1(X22,X23)
                  & ? [X24] :
                      ( r1(X23,X24)
                      & ~ p3(X24) )
                  & p2(X23) ) ) )
      | ? [X25] :
          ( r1(X11,X25)
          & ! [X26] :
              ( ~ r1(X25,X26)
              | ~ p2(X26) ) )
      | ~ sP0(X11) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f15,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ? [X3] :
                  ( r1(X2,X3)
                  & ? [X4] :
                      ( r1(X3,X4)
                      & ~ p3(X4) )
                  & p2(X3) ) ) )
      | ? [X5] :
          ( r1(X0,X5)
          & ! [X6] :
              ( ~ r1(X5,X6)
              | ~ p2(X6) ) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f14]) ).

fof(f16,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ( r1(X2,sK8(X2))
                & r1(sK8(X2),sK9(X2))
                & ~ p3(sK9(X2))
                & p2(sK8(X2)) ) ) )
      | ( r1(X0,sK10(X0))
        & ! [X6] :
            ( ~ r1(sK10(X0),X6)
            | ~ p2(X6) ) )
      | ~ sP0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X3,sK8(X2)),skolemize(X4,sK9(X2)),skolemize(X5,sK10(X0))],[f15]) ).

fof(f17,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ~ p4(X1) )
      & ! [X2] :
          ( ~ r1(X0,X2)
          | ( ! [X3] :
                ( ~ r1(X2,X3)
                | ( ! [X4] :
                      ( ~ r1(X3,X4)
                      | ( ! [X5] :
                            ( ~ r1(X4,X5)
                            | ( ! [X6] :
                                  ( ~ r1(X5,X6)
                                  | ( ! [X7] :
                                        ( ~ r1(X6,X7)
                                        | ( ! [X8] :
                                              ( ~ r1(X7,X8)
                                              | ( sP1(X8)
                                                & ! [X9] :
                                                    ( ~ r1(X8,X9)
                                                    | ! [X10] :
                                                        ( ~ r1(X9,X10)
                                                        | ! [X11] :
                                                            ( ~ r1(X10,X11)
                                                            | p1(X11) ) )
                                                    | ? [X12] :
                                                        ( r1(X9,X12)
                                                        & ~ p1(X12) ) ) ) )
                                          & ! [X13] :
                                              ( ~ r1(X7,X13)
                                              | ! [X14] :
                                                  ( ~ r1(X13,X14)
                                                  | ! [X15] :
                                                      ( ~ r1(X14,X15)
                                                      | p1(X15) ) )
                                              | ? [X16] :
                                                  ( r1(X13,X16)
                                                  & ~ p1(X16) ) ) ) )
                                    & ! [X17] :
                                        ( ~ r1(X6,X17)
                                        | ! [X18] :
                                            ( ~ r1(X17,X18)
                                            | ! [X19] :
                                                ( ~ r1(X18,X19)
                                                | p1(X19) ) )
                                        | ? [X20] :
                                            ( r1(X17,X20)
                                            & ~ p1(X20) ) ) ) )
                              & ! [X21] :
                                  ( ~ r1(X5,X21)
                                  | ! [X22] :
                                      ( ~ r1(X21,X22)
                                      | ! [X23] :
                                          ( ~ r1(X22,X23)
                                          | p1(X23) ) )
                                  | ? [X24] :
                                      ( r1(X21,X24)
                                      & ~ p1(X24) ) ) ) )
                        & ! [X25] :
                            ( ~ r1(X4,X25)
                            | ! [X26] :
                                ( ~ r1(X25,X26)
                                | ! [X27] :
                                    ( ~ r1(X26,X27)
                                    | p1(X27) ) )
                            | ? [X28] :
                                ( r1(X25,X28)
                                & ~ p1(X28) ) ) ) )
                  & ! [X29] :
                      ( ~ r1(X3,X29)
                      | ! [X30] :
                          ( ~ r1(X29,X30)
                          | ! [X31] :
                              ( ~ r1(X30,X31)
                              | p1(X31) ) )
                      | ? [X32] :
                          ( r1(X29,X32)
                          & ~ p1(X32) ) ) ) )
            & ! [X33] :
                ( ~ r1(X2,X33)
                | ! [X34] :
                    ( ~ r1(X33,X34)
                    | ! [X35] :
                        ( ~ r1(X34,X35)
                        | p1(X35) ) )
                | ? [X36] :
                    ( r1(X33,X36)
                    & ~ p1(X36) ) ) ) )
      & ! [X37] :
          ( ~ r1(X0,X37)
          | ! [X38] :
              ( ~ r1(X37,X38)
              | ! [X39] :
                  ( ~ r1(X38,X39)
                  | p1(X39) ) )
          | ? [X40] :
              ( r1(X37,X40)
              & ~ p1(X40) ) )
      & ? [X41] :
          ( r1(X0,X41)
          & ? [X42] :
              ( r1(X41,X42)
              & ! [X43] :
                  ( ~ r1(X42,X43)
                  | p1(X43) ) )
          & ? [X44] :
              ( r1(X41,X44)
              & ~ p1(X44) ) )
      & ? [X45] :
          ( r1(X0,X45)
          & ? [X46] :
              ( r1(X45,X46)
              & ? [X47] :
                  ( r1(X46,X47)
                  & ! [X48] :
                      ( ~ r1(X47,X48)
                      | p1(X48) ) )
              & ? [X49] :
                  ( r1(X46,X49)
                  & ~ p1(X49) ) )
          & ? [X50] :
              ( r1(X45,X50)
              & ? [X51] :
                  ( r1(X50,X51)
                  & ? [X52] :
                      ( r1(X51,X52)
                      & ! [X53] :
                          ( ~ r1(X52,X53)
                          | p1(X53) ) )
                  & ? [X54] :
                      ( r1(X51,X54)
                      & ~ p1(X54) ) )
              & ? [X55] :
                  ( r1(X50,X55)
                  & ? [X56] :
                      ( r1(X55,X56)
                      & ? [X57] :
                          ( r1(X56,X57)
                          & ! [X58] :
                              ( ~ r1(X57,X58)
                              | p1(X58) ) )
                      & ? [X59] :
                          ( r1(X56,X59)
                          & ~ p1(X59) ) )
                  & ? [X60] :
                      ( r1(X55,X60)
                      & ? [X61] :
                          ( r1(X60,X61)
                          & ? [X62] :
                              ( r1(X61,X62)
                              & ! [X63] :
                                  ( ~ r1(X62,X63)
                                  | p1(X63) ) )
                          & ? [X64] :
                              ( r1(X61,X64)
                              & ~ p1(X64) ) )
                      & ? [X65] :
                          ( r1(X60,X65)
                          & ? [X66] :
                              ( r1(X65,X66)
                              & ? [X67] :
                                  ( r1(X66,X67)
                                  & ! [X68] :
                                      ( ~ r1(X67,X68)
                                      | p1(X68) ) )
                              & ? [X69] :
                                  ( r1(X66,X69)
                                  & ~ p1(X69) ) )
                          & ? [X70] :
                              ( r1(X65,X70)
                              & ? [X71] :
                                  ( r1(X70,X71)
                                  & ? [X72] :
                                      ( r1(X71,X72)
                                      & ! [X73] :
                                          ( ~ r1(X72,X73)
                                          | p1(X73) ) )
                                  & ? [X74] :
                                      ( r1(X71,X74)
                                      & ~ p1(X74) ) )
                              & ? [X75] :
                                  ( r1(X70,X75)
                                  & ? [X76] :
                                      ( r1(X75,X76)
                                      & ? [X77] :
                                          ( r1(X76,X77)
                                          & ! [X78] :
                                              ( ~ r1(X77,X78)
                                              | p1(X78) ) )
                                      & ? [X79] :
                                          ( r1(X76,X79)
                                          & ~ p1(X79) ) )
                                  & ? [X80] :
                                      ( r1(X75,X80)
                                      & ? [X81] :
                                          ( r1(X80,X81)
                                          & ? [X82] :
                                              ( r1(X81,X82)
                                              & ! [X83] :
                                                  ( ~ r1(X82,X83)
                                                  | p1(X83) ) )
                                          & ? [X84] :
                                              ( r1(X81,X84)
                                              & ~ p1(X84) ) )
                                      & ? [X85] :
                                          ( r1(X80,X85)
                                          & ? [X86] :
                                              ( r1(X85,X86)
                                              & ? [X87] :
                                                  ( r1(X86,X87)
                                                  & ! [X88] :
                                                      ( ~ r1(X87,X88)
                                                      | p1(X88) ) )
                                              & ? [X89] :
                                                  ( r1(X86,X89)
                                                  & ~ p1(X89) ) )
                                          & ? [X90] :
                                              ( r1(X85,X90)
                                              & ! [X91] :
                                                  ( ~ r1(X90,X91)
                                                  | ? [X92] :
                                                      ( r1(X91,X92)
                                                      & ~ p2(X92) ) ) )
                                          & ! [X93] :
                                              ( ~ r1(X85,X93)
                                              | ! [X94] :
                                                  ( ~ r1(X93,X94)
                                                  | ! [X95] :
                                                      ( ~ r1(X94,X95)
                                                      | ~ p1(X95) ) )
                                              | ? [X96] :
                                                  ( r1(X93,X96)
                                                  & p1(X96) ) ) )
                                      & ! [X97] :
                                          ( ~ r1(X80,X97)
                                          | ! [X98] :
                                              ( ~ r1(X97,X98)
                                              | ! [X99] :
                                                  ( ~ r1(X98,X99)
                                                  | ~ p1(X99) ) )
                                          | ? [X100] :
                                              ( r1(X97,X100)
                                              & p1(X100) ) ) )
                                  & ! [X101] :
                                      ( ~ r1(X75,X101)
                                      | ! [X102] :
                                          ( ~ r1(X101,X102)
                                          | ! [X103] :
                                              ( ~ r1(X102,X103)
                                              | ~ p1(X103) ) )
                                      | ? [X104] :
                                          ( r1(X101,X104)
                                          & p1(X104) ) ) )
                              & ! [X105] :
                                  ( ~ r1(X70,X105)
                                  | ! [X106] :
                                      ( ~ r1(X105,X106)
                                      | ! [X107] :
                                          ( ~ r1(X106,X107)
                                          | ~ p1(X107) ) )
                                  | ? [X108] :
                                      ( r1(X105,X108)
                                      & p1(X108) ) ) )
                          & ! [X109] :
                              ( ~ r1(X65,X109)
                              | ! [X110] :
                                  ( ~ r1(X109,X110)
                                  | ! [X111] :
                                      ( ~ r1(X110,X111)
                                      | ~ p1(X111) ) )
                              | ? [X112] :
                                  ( r1(X109,X112)
                                  & p1(X112) ) ) )
                      & ! [X113] :
                          ( ~ r1(X60,X113)
                          | ! [X114] :
                              ( ~ r1(X113,X114)
                              | ! [X115] :
                                  ( ~ r1(X114,X115)
                                  | ~ p1(X115) ) )
                          | ? [X116] :
                              ( r1(X113,X116)
                              & p1(X116) ) ) )
                  & ! [X117] :
                      ( ~ r1(X55,X117)
                      | ! [X118] :
                          ( ~ r1(X117,X118)
                          | ! [X119] :
                              ( ~ r1(X118,X119)
                              | ~ p1(X119) ) )
                      | ? [X120] :
                          ( r1(X117,X120)
                          & p1(X120) ) ) )
              & ! [X121] :
                  ( ~ r1(X50,X121)
                  | ! [X122] :
                      ( ~ r1(X121,X122)
                      | ! [X123] :
                          ( ~ r1(X122,X123)
                          | ~ p1(X123) ) )
                  | ? [X124] :
                      ( r1(X121,X124)
                      & p1(X124) ) ) )
          & ! [X125] :
              ( ~ r1(X45,X125)
              | ! [X126] :
                  ( ~ r1(X125,X126)
                  | ! [X127] :
                      ( ~ r1(X126,X127)
                      | ~ p1(X127) ) )
              | ? [X128] :
                  ( r1(X125,X128)
                  & p1(X128) ) ) )
      & ! [X129] :
          ( ~ r1(X0,X129)
          | ! [X130] :
              ( ~ r1(X129,X130)
              | ! [X131] :
                  ( ~ r1(X130,X131)
                  | ~ p1(X131) ) )
          | ? [X132] :
              ( r1(X129,X132)
              & p1(X132) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f18,plain,
    ( ! [X1] :
        ( ~ r1(sK11,X1)
        | ~ p4(X1) )
    & ! [X2] :
        ( ~ r1(sK11,X2)
        | ( ! [X3] :
              ( ~ r1(X2,X3)
              | ( ! [X4] :
                    ( ~ r1(X3,X4)
                    | ( ! [X5] :
                          ( ~ r1(X4,X5)
                          | ( ! [X6] :
                                ( ~ r1(X5,X6)
                                | ( ! [X7] :
                                      ( ~ r1(X6,X7)
                                      | ( ! [X8] :
                                            ( ~ r1(X7,X8)
                                            | ( sP1(X8)
                                              & ! [X9] :
                                                  ( ~ r1(X8,X9)
                                                  | ! [X10] :
                                                      ( ~ r1(X9,X10)
                                                      | ! [X11] :
                                                          ( ~ r1(X10,X11)
                                                          | p1(X11) ) )
                                                  | ( r1(X9,sK12(X9))
                                                    & ~ p1(sK12(X9)) ) ) ) )
                                        & ! [X13] :
                                            ( ~ r1(X7,X13)
                                            | ! [X14] :
                                                ( ~ r1(X13,X14)
                                                | ! [X15] :
                                                    ( ~ r1(X14,X15)
                                                    | p1(X15) ) )
                                            | ( r1(X13,sK13(X13))
                                              & ~ p1(sK13(X13)) ) ) ) )
                                  & ! [X17] :
                                      ( ~ r1(X6,X17)
                                      | ! [X18] :
                                          ( ~ r1(X17,X18)
                                          | ! [X19] :
                                              ( ~ r1(X18,X19)
                                              | p1(X19) ) )
                                      | ( r1(X17,sK14(X17))
                                        & ~ p1(sK14(X17)) ) ) ) )
                            & ! [X21] :
                                ( ~ r1(X5,X21)
                                | ! [X22] :
                                    ( ~ r1(X21,X22)
                                    | ! [X23] :
                                        ( ~ r1(X22,X23)
                                        | p1(X23) ) )
                                | ( r1(X21,sK15(X21))
                                  & ~ p1(sK15(X21)) ) ) ) )
                      & ! [X25] :
                          ( ~ r1(X4,X25)
                          | ! [X26] :
                              ( ~ r1(X25,X26)
                              | ! [X27] :
                                  ( ~ r1(X26,X27)
                                  | p1(X27) ) )
                          | ( r1(X25,sK16(X25))
                            & ~ p1(sK16(X25)) ) ) ) )
                & ! [X29] :
                    ( ~ r1(X3,X29)
                    | ! [X30] :
                        ( ~ r1(X29,X30)
                        | ! [X31] :
                            ( ~ r1(X30,X31)
                            | p1(X31) ) )
                    | ( r1(X29,sK17(X29))
                      & ~ p1(sK17(X29)) ) ) ) )
          & ! [X33] :
              ( ~ r1(X2,X33)
              | ! [X34] :
                  ( ~ r1(X33,X34)
                  | ! [X35] :
                      ( ~ r1(X34,X35)
                      | p1(X35) ) )
              | ( r1(X33,sK18(X33))
                & ~ p1(sK18(X33)) ) ) ) )
    & ! [X37] :
        ( ~ r1(sK11,X37)
        | ! [X38] :
            ( ~ r1(X37,X38)
            | ! [X39] :
                ( ~ r1(X38,X39)
                | p1(X39) ) )
        | ( r1(X37,sK19(X37))
          & ~ p1(sK19(X37)) ) )
    & r1(sK11,sK20)
    & r1(sK20,sK21)
    & ! [X43] :
        ( ~ r1(sK21,X43)
        | p1(X43) )
    & r1(sK20,sK22)
    & ~ p1(sK22)
    & r1(sK11,sK23)
    & r1(sK23,sK24)
    & r1(sK24,sK25)
    & ! [X48] :
        ( ~ r1(sK25,X48)
        | p1(X48) )
    & r1(sK24,sK26)
    & ~ p1(sK26)
    & r1(sK23,sK27)
    & r1(sK27,sK28)
    & r1(sK28,sK29)
    & ! [X53] :
        ( ~ r1(sK29,X53)
        | p1(X53) )
    & r1(sK28,sK30)
    & ~ p1(sK30)
    & r1(sK27,sK31)
    & r1(sK31,sK32)
    & r1(sK32,sK33)
    & ! [X58] :
        ( ~ r1(sK33,X58)
        | p1(X58) )
    & r1(sK32,sK34)
    & ~ p1(sK34)
    & r1(sK31,sK35)
    & r1(sK35,sK36)
    & r1(sK36,sK37)
    & ! [X63] :
        ( ~ r1(sK37,X63)
        | p1(X63) )
    & r1(sK36,sK38)
    & ~ p1(sK38)
    & r1(sK35,sK39)
    & r1(sK39,sK40)
    & r1(sK40,sK41)
    & ! [X68] :
        ( ~ r1(sK41,X68)
        | p1(X68) )
    & r1(sK40,sK42)
    & ~ p1(sK42)
    & r1(sK39,sK43)
    & r1(sK43,sK44)
    & r1(sK44,sK45)
    & ! [X73] :
        ( ~ r1(sK45,X73)
        | p1(X73) )
    & r1(sK44,sK46)
    & ~ p1(sK46)
    & r1(sK43,sK47)
    & r1(sK47,sK48)
    & r1(sK48,sK49)
    & ! [X78] :
        ( ~ r1(sK49,X78)
        | p1(X78) )
    & r1(sK48,sK50)
    & ~ p1(sK50)
    & r1(sK47,sK51)
    & r1(sK51,sK52)
    & r1(sK52,sK53)
    & ! [X83] :
        ( ~ r1(sK53,X83)
        | p1(X83) )
    & r1(sK52,sK54)
    & ~ p1(sK54)
    & r1(sK51,sK55)
    & r1(sK55,sK56)
    & r1(sK56,sK57)
    & ! [X88] :
        ( ~ r1(sK57,X88)
        | p1(X88) )
    & r1(sK56,sK58)
    & ~ p1(sK58)
    & r1(sK55,sK59)
    & ! [X91] :
        ( ~ r1(sK59,X91)
        | ( r1(X91,sK60(X91))
          & ~ p2(sK60(X91)) ) )
    & ! [X93] :
        ( ~ r1(sK55,X93)
        | ! [X94] :
            ( ~ r1(X93,X94)
            | ! [X95] :
                ( ~ r1(X94,X95)
                | ~ p1(X95) ) )
        | ( r1(X93,sK61(X93))
          & p1(sK61(X93)) ) )
    & ! [X97] :
        ( ~ r1(sK51,X97)
        | ! [X98] :
            ( ~ r1(X97,X98)
            | ! [X99] :
                ( ~ r1(X98,X99)
                | ~ p1(X99) ) )
        | ( r1(X97,sK62(X97))
          & p1(sK62(X97)) ) )
    & ! [X101] :
        ( ~ r1(sK47,X101)
        | ! [X102] :
            ( ~ r1(X101,X102)
            | ! [X103] :
                ( ~ r1(X102,X103)
                | ~ p1(X103) ) )
        | ( r1(X101,sK63(X101))
          & p1(sK63(X101)) ) )
    & ! [X105] :
        ( ~ r1(sK43,X105)
        | ! [X106] :
            ( ~ r1(X105,X106)
            | ! [X107] :
                ( ~ r1(X106,X107)
                | ~ p1(X107) ) )
        | ( r1(X105,sK64(X105))
          & p1(sK64(X105)) ) )
    & ! [X109] :
        ( ~ r1(sK39,X109)
        | ! [X110] :
            ( ~ r1(X109,X110)
            | ! [X111] :
                ( ~ r1(X110,X111)
                | ~ p1(X111) ) )
        | ( r1(X109,sK65(X109))
          & p1(sK65(X109)) ) )
    & ! [X113] :
        ( ~ r1(sK35,X113)
        | ! [X114] :
            ( ~ r1(X113,X114)
            | ! [X115] :
                ( ~ r1(X114,X115)
                | ~ p1(X115) ) )
        | ( r1(X113,sK66(X113))
          & p1(sK66(X113)) ) )
    & ! [X117] :
        ( ~ r1(sK31,X117)
        | ! [X118] :
            ( ~ r1(X117,X118)
            | ! [X119] :
                ( ~ r1(X118,X119)
                | ~ p1(X119) ) )
        | ( r1(X117,sK67(X117))
          & p1(sK67(X117)) ) )
    & ! [X121] :
        ( ~ r1(sK27,X121)
        | ! [X122] :
            ( ~ r1(X121,X122)
            | ! [X123] :
                ( ~ r1(X122,X123)
                | ~ p1(X123) ) )
        | ( r1(X121,sK68(X121))
          & p1(sK68(X121)) ) )
    & ! [X125] :
        ( ~ r1(sK23,X125)
        | ! [X126] :
            ( ~ r1(X125,X126)
            | ! [X127] :
                ( ~ r1(X126,X127)
                | ~ p1(X127) ) )
        | ( r1(X125,sK69(X125))
          & p1(sK69(X125)) ) )
    & ! [X129] :
        ( ~ r1(sK11,X129)
        | ! [X130] :
            ( ~ r1(X129,X130)
            | ! [X131] :
                ( ~ r1(X130,X131)
                | ~ p1(X131) ) )
        | ( r1(X129,sK70(X129))
          & p1(sK70(X129)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[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,sK56,sK57,sK58,sK59,sK60,sK61,sK62,sK63,sK64,sK65,sK66,sK67,sK68,sK69,sK70]),skolemize(X0,sK11),skolemize(X12,sK12(X9)),skolemize(X16,sK13(X13)),skolemize(X20,sK14(X17)),skolemize(X24,sK15(X21)),skolemize(X28,sK16(X25)),skolemize(X32,sK17(X29)),skolemize(X36,sK18(X33)),skolemize(X40,sK19(X37)),skolemize(X41,sK20),skolemize(X42,sK21),skolemize(X44,sK22),skolemize(X45,sK23),skolemize(X46,sK24),skolemize(X47,sK25),skolemize(X49,sK26),skolemize(X50,sK27),skolemize(X51,sK28),skolemize(X52,sK29),skolemize(X54,sK30),skolemize(X55,sK31),skolemize(X56,sK32),skolemize(X57,sK33),skolemize(X59,sK34),skolemize(X60,sK35),skolemize(X61,sK36),skolemize(X62,sK37),skolemize(X64,sK38),skolemize(X65,sK39),skolemize(X66,sK40),skolemize(X67,sK41),skolemize(X69,sK42),skolemize(X70,sK43),skolemize(X71,sK44),skolemize(X72,sK45),skolemize(X74,sK46),skolemize(X75,sK47),skolemize(X76,sK48),skolemize(X77,sK49),skolemize(X79,sK50),skolemize(X80,sK51),skolemize(X81,sK52),skolemize(X82,sK53),skolemize(X84,sK54),skolemize(X85,sK55),skolemize(X86,sK56),skolemize(X87,sK57),skolemize(X89,sK58),skolemize(X90,sK59),skolemize(X92,sK60(X91)),skolemize(X96,sK61(X93)),skolemize(X100,sK62(X97)),skolemize(X104,sK63(X101)),skolemize(X108,sK64(X105)),skolemize(X112,sK65(X109)),skolemize(X116,sK66(X113)),skolemize(X120,sK67(X117)),skolemize(X124,sK68(X121)),skolemize(X128,sK69(X125)),skolemize(X132,sK70(X129))],[f17]) ).

fof(f19,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP1(X0)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | sP0(X3)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f25,plain,
    ! [X2,X3,X10,X0,X1,X8,X7,X12] :
      ( ~ sP1(X0)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X7)
      | ~ r1(X7,X8)
      | p2(X8)
      | ~ p2(X7)
      | ~ r1(X7,X10)
      | ~ r1(sK5(X10),X12)
      | ~ p2(X12)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f26,plain,
    ! [X2,X3,X10,X0,X1,X8,X7] :
      ( ~ sP1(X0)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X7)
      | ~ r1(X7,X8)
      | p2(X8)
      | ~ p2(X7)
      | ~ r1(X7,X10)
      | r1(X10,sK5(X10))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP1(X0)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | p2(sK2(X4))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP1(X0)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | r1(X4,sK2(X4))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f35,plain,
    ! [X2,X0,X1,X6] :
      ( ~ sP0(X0)
      | ~ r1(X1,X2)
      | p2(sK8(X2))
      | ~ r1(sK10(X0),X6)
      | ~ p2(X6)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0)
      | ~ r1(X1,X2)
      | p2(sK8(X2))
      | r1(X0,sK10(X0))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f41,plain,
    ! [X2,X0,X1,X6] :
      ( ~ sP0(X0)
      | ~ r1(X1,X2)
      | r1(X2,sK8(X2))
      | ~ r1(sK10(X0),X6)
      | ~ p2(X6)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0)
      | ~ r1(X1,X2)
      | r1(X2,sK8(X2))
      | r1(X0,sK10(X0))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f63,plain,
    ! [X91] :
      ( ~ p2(sK60(X91))
      | ~ r1(sK59,X91) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f64,plain,
    ! [X91] :
      ( ~ r1(sK59,X91)
      | r1(X91,sK60(X91)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f65,plain,
    r1(sK55,sK59),
    inference(cnf_transformation,[],[f18]) ).

fof(f71,plain,
    r1(sK51,sK55),
    inference(cnf_transformation,[],[f18]) ).

fof(f77,plain,
    r1(sK47,sK51),
    inference(cnf_transformation,[],[f18]) ).

fof(f83,plain,
    r1(sK43,sK47),
    inference(cnf_transformation,[],[f18]) ).

fof(f89,plain,
    r1(sK39,sK43),
    inference(cnf_transformation,[],[f18]) ).

fof(f95,plain,
    r1(sK35,sK39),
    inference(cnf_transformation,[],[f18]) ).

fof(f101,plain,
    r1(sK31,sK35),
    inference(cnf_transformation,[],[f18]) ).

fof(f107,plain,
    r1(sK27,sK31),
    inference(cnf_transformation,[],[f18]) ).

fof(f113,plain,
    r1(sK23,sK27),
    inference(cnf_transformation,[],[f18]) ).

fof(f119,plain,
    r1(sK11,sK23),
    inference(cnf_transformation,[],[f18]) ).

fof(f141,plain,
    ! [X2,X3,X8,X6,X7,X4,X5] :
      ( ~ r1(sK11,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | ~ r1(X4,X5)
      | ~ r1(X5,X6)
      | ~ r1(X6,X7)
      | ~ r1(X7,X8)
      | sP1(X8) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r1(sK23,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | ~ r1(X4,X5)
      | sP1(X5) ),
    inference(resolution,[],[f141,f119]) ).

fof(f165,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(sK27,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | sP1(X4) ),
    inference(resolution,[],[f143,f113]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK31,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | sP1(X3) ),
    inference(resolution,[],[f165,f107]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK35,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | sP1(X2) ),
    inference(resolution,[],[f171,f101]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ r1(sK39,X0)
      | ~ r1(X0,X1)
      | sP1(X1) ),
    inference(resolution,[],[f181,f95]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ r1(sK43,X0)
      | sP1(X0) ),
    inference(resolution,[],[f189,f89]) ).

fof(f214,plain,
    sP1(sK47),
    inference(resolution,[],[f211,f83]) ).

fof(f219,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK47,X0)
      | ~ r1(X1,X2)
      | sP0(X2)
      | ~ r1(X0,X1) ),
    inference(resolution,[],[f214,f24]) ).

fof(f220,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p2(X6)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | p2(X4)
      | ~ p2(X3)
      | ~ r1(X3,X5)
      | ~ r1(sK5(X5),X6)
      | ~ r1(X0,X1)
      | ~ r1(sK47,X0) ),
    inference(resolution,[],[f214,f25]) ).

fof(f221,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ p2(X3)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | p2(X4)
      | ~ r1(X0,X1)
      | ~ r1(X3,X5)
      | r1(X5,sK5(X5))
      | ~ r1(sK47,X0) ),
    inference(resolution,[],[f214,f26]) ).

fof(f222,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK47,X0)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | p2(sK2(X3))
      | ~ r1(X0,X1) ),
    inference(resolution,[],[f214,f31]) ).

fof(f223,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK47,X0)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | r1(X3,sK2(X3))
      | ~ r1(X0,X1) ),
    inference(resolution,[],[f214,f34]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( ~ r1(sK51,X0)
      | sP0(X1)
      | ~ r1(X0,X1) ),
    inference(resolution,[],[f219,f77]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ r1(sK55,X0)
      | sP0(X0) ),
    inference(resolution,[],[f250,f71]) ).

fof(f262,plain,
    sP0(sK59),
    inference(resolution,[],[f258,f65]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( ~ r1(X0,X1)
      | r1(X1,sK8(X1))
      | r1(sK59,sK10(sK59))
      | ~ r1(sK59,X0) ),
    inference(resolution,[],[f262,f42]) ).

fof(f265,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X0,X1)
      | r1(X1,sK8(X1))
      | ~ r1(sK10(sK59),X2)
      | ~ p2(X2)
      | ~ r1(sK59,X0) ),
    inference(resolution,[],[f262,f41]) ).

fof(f266,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X0,X1)
      | p2(sK8(X1))
      | ~ r1(sK10(sK59),X2)
      | ~ p2(X2)
      | ~ r1(sK59,X0) ),
    inference(resolution,[],[f262,f35]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ r1(X0,X1)
      | p2(sK8(X1))
      | r1(sK59,sK10(sK59))
      | ~ r1(sK59,X0) ),
    inference(resolution,[],[f262,f36]) ).

fof(f269,definition,
    ( spl71_1
  <=> r1(sK59,sK10(sK59)) ),
    introduced(definition,[new_symbols(definition,[spl71_1])],[avatar_definition]) ).

fof(f270,plain,
    ( r1(sK59,sK10(sK59))
    | ~ spl71_1 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f272,definition,
    ( spl71_2
  <=> ! [X0,X1] :
        ( ~ r1(X0,X1)
        | ~ r1(sK59,X0)
        | p2(sK8(X1)) ) ),
    introduced(definition,[new_symbols(definition,[spl71_2])],[avatar_definition]) ).

fof(f273,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK59,X0)
        | ~ r1(X0,X1)
        | p2(sK8(X1)) )
    | ~ spl71_2 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f274,plain,
    ( spl71_1
    | spl71_2 ),
    inference(avatar_split_clause,[],[f267,f272,f269]) ).

fof(f276,definition,
    ( spl71_3
  <=> ! [X2] :
        ( ~ r1(sK10(sK59),X2)
        | ~ p2(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl71_3])],[avatar_definition]) ).

fof(f277,plain,
    ( ! [X2] :
        ( ~ r1(sK10(sK59),X2)
        | ~ p2(X2) )
    | ~ spl71_3 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f278,plain,
    ( spl71_3
    | spl71_2 ),
    inference(avatar_split_clause,[],[f266,f272,f276]) ).

fof(f280,definition,
    ( spl71_4
  <=> ! [X0,X1] :
        ( ~ r1(X0,X1)
        | ~ r1(sK59,X0)
        | r1(X1,sK8(X1)) ) ),
    introduced(definition,[new_symbols(definition,[spl71_4])],[avatar_definition]) ).

fof(f281,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK59,X0)
        | ~ r1(X0,X1)
        | r1(X1,sK8(X1)) )
    | ~ spl71_4 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f282,plain,
    ( spl71_3
    | spl71_4 ),
    inference(avatar_split_clause,[],[f265,f280,f276]) ).

fof(f283,plain,
    ( spl71_1
    | spl71_4 ),
    inference(avatar_split_clause,[],[f264,f280,f269]) ).

fof(f513,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK51,X0)
      | ~ r1(X1,X2)
      | p2(sK2(X2))
      | ~ r1(X0,X1) ),
    inference(resolution,[],[f222,f77]) ).

fof(f523,plain,
    ! [X0,X1] :
      ( ~ r1(sK55,X0)
      | p2(sK2(X1))
      | ~ r1(X0,X1) ),
    inference(resolution,[],[f513,f71]) ).

fof(f686,plain,
    ! [X0] :
      ( ~ r1(sK59,X0)
      | p2(sK2(X0)) ),
    inference(resolution,[],[f523,f65]) ).

fof(f688,plain,
    p2(sK2(sK59)),
    inference(resolution,[],[f686,f19]) ).

fof(f692,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(X0,X1)
      | ~ r1(X1,sK2(sK59))
      | ~ r1(sK2(sK59),X2)
      | p2(X2)
      | ~ r1(X3,X0)
      | ~ r1(sK2(sK59),X4)
      | r1(X4,sK5(X4))
      | ~ r1(sK47,X3) ),
    inference(resolution,[],[f688,f221]) ).

fof(f705,definition,
    ( spl71_63
  <=> ! [X4] :
        ( ~ r1(sK2(sK59),X4)
        | r1(X4,sK5(X4)) ) ),
    introduced(definition,[new_symbols(definition,[spl71_63])],[avatar_definition]) ).

fof(f706,plain,
    ( ! [X4] :
        ( ~ r1(sK2(sK59),X4)
        | r1(X4,sK5(X4)) )
    | ~ spl71_63 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f708,definition,
    ( spl71_64
  <=> ! [X2] :
        ( ~ r1(sK2(sK59),X2)
        | p2(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl71_64])],[avatar_definition]) ).

fof(f709,plain,
    ( ! [X2] :
        ( ~ r1(sK2(sK59),X2)
        | p2(X2) )
    | ~ spl71_64 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f723,definition,
    ( spl71_68
  <=> ! [X0,X1,X3] :
        ( ~ r1(X0,X1)
        | ~ r1(sK47,X3)
        | ~ r1(X3,X0)
        | ~ r1(X1,sK2(sK59)) ) ),
    introduced(definition,[new_symbols(definition,[spl71_68])],[avatar_definition]) ).

fof(f724,plain,
    ( ! [X3,X0,X1] :
        ( ~ r1(X1,sK2(sK59))
        | ~ r1(sK47,X3)
        | ~ r1(X3,X0)
        | ~ r1(X0,X1) )
    | ~ spl71_68 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f725,plain,
    ( spl71_63
    | spl71_64
    | spl71_68 ),
    inference(avatar_split_clause,[],[f692,f723,f708,f705]) ).

fof(f865,plain,
    ( p2(sK2(sK10(sK59)))
    | ~ spl71_1 ),
    inference(resolution,[],[f270,f686]) ).

fof(f1323,plain,
    ( r1(sK2(sK59),sK5(sK2(sK59)))
    | ~ spl71_63 ),
    inference(resolution,[],[f706,f19]) ).

fof(f2059,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK51,X0)
      | ~ r1(X1,X2)
      | r1(X2,sK2(X2))
      | ~ r1(X0,X1) ),
    inference(resolution,[],[f223,f77]) ).

fof(f2069,plain,
    ! [X0,X1] :
      ( ~ r1(sK55,X0)
      | r1(X1,sK2(X1))
      | ~ r1(X0,X1) ),
    inference(resolution,[],[f2059,f71]) ).

fof(f2129,plain,
    ! [X0] :
      ( ~ r1(sK59,X0)
      | r1(X0,sK2(X0)) ),
    inference(resolution,[],[f2069,f65]) ).

fof(f2131,plain,
    ( r1(sK10(sK59),sK2(sK10(sK59)))
    | ~ spl71_1 ),
    inference(resolution,[],[f2129,f270]) ).

fof(f2132,plain,
    r1(sK59,sK2(sK59)),
    inference(resolution,[],[f2129,f19]) ).

fof(f2135,plain,
    r1(sK2(sK59),sK60(sK2(sK59))),
    inference(resolution,[],[f2132,f64]) ).

fof(f2262,plain,
    ( ~ p2(sK2(sK10(sK59)))
    | ~ spl71_1
    | ~ spl71_3 ),
    inference(resolution,[],[f2131,f277]) ).

fof(f2264,plain,
    ( $false
    | ~ spl71_1
    | ~ spl71_3 ),
    inference(forward_subsumption_resolution,[],[f2262,f865]) ).

fof(f2265,plain,
    ( ~ spl71_1
    | ~ spl71_3 ),
    inference(avatar_contradiction_clause,[],[f2264]) ).

fof(f2281,plain,
    ( ! [X0] :
        ( ~ r1(sK2(sK59),X0)
        | p2(sK8(X0)) )
    | ~ spl71_2 ),
    inference(resolution,[],[f273,f2132]) ).

fof(f2284,plain,
    ( ! [X0] :
        ( ~ r1(sK2(sK59),X0)
        | r1(X0,sK8(X0)) )
    | ~ spl71_4 ),
    inference(resolution,[],[f281,f2132]) ).

fof(f2286,plain,
    ( r1(sK5(sK2(sK59)),sK8(sK5(sK2(sK59))))
    | ~ spl71_4
    | ~ spl71_63 ),
    inference(resolution,[],[f2284,f1323]) ).

fof(f2294,plain,
    ( p2(sK8(sK5(sK2(sK59))))
    | ~ spl71_2
    | ~ spl71_63 ),
    inference(resolution,[],[f2281,f1323]) ).

fof(f2299,plain,
    ( p2(sK60(sK2(sK59)))
    | ~ spl71_64 ),
    inference(resolution,[],[f709,f2135]) ).

fof(f2302,plain,
    ( ~ r1(sK59,sK2(sK59))
    | ~ spl71_64 ),
    inference(resolution,[],[f2299,f63]) ).

fof(f2340,plain,
    ( $false
    | ~ spl71_64 ),
    inference(forward_subsumption_resolution,[],[f2302,f2132]) ).

fof(f2341,plain,
    ~ spl71_64,
    inference(avatar_contradiction_clause,[],[f2340]) ).

fof(f2445,plain,
    ( $false
    | ~ spl71_68 ),
    inference(unit_resulting_resolution,[],[f724,f65,f71,f77,f2132]) ).

fof(f2448,plain,
    ~ spl71_68,
    inference(avatar_contradiction_clause,[],[f2445]) ).

fof(f2452,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(sK5(X4),sK8(sK5(sK2(sK59))))
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | p2(X3)
        | ~ p2(X2)
        | ~ r1(X2,X4)
        | ~ r1(X0,X1)
        | ~ r1(X5,X0)
        | ~ r1(sK47,X5) )
    | ~ spl71_2
    | ~ spl71_63 ),
    inference(resolution,[],[f2294,f220]) ).

fof(f2492,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ r1(X1,sK2(sK59))
        | ~ r1(X1,X2)
        | p2(X2)
        | ~ p2(X1)
        | ~ r1(X0,X1)
        | ~ r1(X3,X0)
        | ~ r1(X4,X3)
        | ~ r1(sK47,X4) )
    | ~ spl71_2
    | ~ spl71_4
    | ~ spl71_63 ),
    inference(resolution,[],[f2452,f2286]) ).

fof(f2493,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ r1(sK2(sK59),X0)
        | p2(X0)
        | ~ p2(sK2(sK59))
        | ~ r1(X1,sK2(sK59))
        | ~ r1(X2,X1)
        | ~ r1(X3,X2)
        | ~ r1(sK47,X3) )
    | ~ spl71_2
    | ~ spl71_4
    | ~ spl71_63 ),
    inference(resolution,[],[f2492,f19]) ).

fof(f2495,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ r1(sK2(sK59),X0)
        | p2(X0)
        | ~ r1(X1,sK2(sK59))
        | ~ r1(X2,X1)
        | ~ r1(X3,X2)
        | ~ r1(sK47,X3) )
    | ~ spl71_2
    | ~ spl71_4
    | ~ spl71_63 ),
    inference(forward_subsumption_resolution,[],[f2493,f688]) ).

fof(f2496,plain,
    ( spl71_68
    | spl71_64
    | ~ spl71_2
    | ~ spl71_4
    | ~ spl71_63 ),
    inference(avatar_split_clause,[],[f2495,f705,f280,f272,f708,f723]) ).

cnf(s1,plain,
    ( spl71_1
    | spl71_2 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s2,plain,
    ( spl71_2
    | spl71_3 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s3,plain,
    ( spl71_3
    | spl71_4 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s4,plain,
    ( spl71_1
    | spl71_4 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s56,plain,
    ( spl71_63
    | spl71_64
    | spl71_68 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s191,plain,
    ( ~ spl71_1
    | ~ spl71_3 ),
    inference(sat_conversion,[],[f2265]) ).

cnf(s199,plain,
    ~ spl71_64,
    inference(sat_conversion,[],[f2341]) ).

cnf(s208,plain,
    ~ spl71_68,
    inference(sat_conversion,[],[f2448]) ).

cnf(s213,plain,
    ( ~ spl71_2
    | ~ spl71_4
    | ~ spl71_63
    | spl71_64
    | spl71_68 ),
    inference(sat_conversion,[],[f2496]) ).

cnf(s214,plain,
    spl71_63,
    inference(rat,[],[s56,s208,s199]) ).

cnf(s215,plain,
    spl71_1,
    inference(rat,[],[s213,s1,s4,s214,s199,s208]) ).

cnf(s216,plain,
    ~ spl71_3,
    inference(rat,[],[s191,s215]) ).

cnf(s217,plain,
    spl71_4,
    inference(rat,[],[s3,s216]) ).

cnf(s218,plain,
    spl71_2,
    inference(rat,[],[s2,s216]) ).

cnf(s219,plain,
    $false,
    inference(rat,[],[s213,s208,s199,s214,s217,s218]) ).

fof(f2497,plain,
    $false,
    inference(avatar_sat_refutation,[],[s219]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL670+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n003.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 16:30:11 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.21/2.56  % (764798)Detected formulas, will run a generic FOF schedule.
% 11.21/2.56  % (764803)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=4183039926:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.21/2.56  % (764806)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1214037822:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.21/2.56  % (764808)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1096340269:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.21/2.56  % (764805)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=2642750829:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.21/2.56  % (764804)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=71264707:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.21/2.56  % (764807)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=100609816:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.21/2.56  % (764809)dis-21_1_sil=8000:lcm=predicate:random_seed=690478723: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)
% 11.21/2.56  % (764806)Instruction limit reached! 
% 11.21/2.56  % (764806)------------------------------
% 11.21/2.56  % (764806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764806)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764806)Termination reason: Instruction limit
% 11.21/2.56  % (764806)Termination phase: Saturation
% 11.21/2.56  % (764806)Time elapsed: 0.064 s
% 11.21/2.56  % (764806)Peak memory usage: 94 MB
% 11.21/2.56  % (764806)Instructions burned: 111 (million)
% 11.21/2.56  % (764807)Instruction limit reached! 
% 11.21/2.56  % (764807)------------------------------
% 11.21/2.56  % (764807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764807)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764807)Termination reason: Instruction limit
% 11.21/2.56  % (764807)Termination phase: Saturation
% 11.21/2.56  % (764807)Time elapsed: 0.060 s
% 11.21/2.56  % (764807)Peak memory usage: 88 MB
% 11.21/2.56  % (764807)Instructions burned: 121 (million)
% 11.21/2.56  % (764809)Instruction limit reached! 
% 11.21/2.56  % (764809)------------------------------
% 11.21/2.56  % (764809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764809)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764809)Termination reason: Instruction limit
% 11.21/2.56  % (764809)Termination phase: Saturation
% 11.21/2.56  % (764809)Time elapsed: 0.060 s
% 11.21/2.56  % (764809)Peak memory usage: 89 MB
% 11.21/2.56  % (764809)Instructions burned: 131 (million)
% 11.21/2.56  % (764808)Instruction limit reached! 
% 11.21/2.56  % (764808)------------------------------
% 11.21/2.56  % (764808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764808)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764808)Termination reason: Instruction limit
% 11.21/2.56  % (764808)Termination phase: Saturation
% 11.21/2.56  % (764808)Time elapsed: 0.091 s
% 11.21/2.56  % (764808)Peak memory usage: 90 MB
% 11.21/2.56  % (764808)Instructions burned: 140 (million)
% 11.21/2.56  % (764817)lrs+10_1_sil=8000:sp=occurrence:random_seed=795070166:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.21/2.56  % (764819)lrs+1011_1_sil=32000:sp=occurrence:random_seed=718114565:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.21/2.56  % (764818)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3183596937:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.21/2.56  % (764820)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=2676286627:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.21/2.56  % (764818)Instruction limit reached! 
% 11.21/2.56  % (764818)------------------------------
% 11.21/2.56  % (764818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764818)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764818)Termination reason: Instruction limit
% 11.21/2.56  % (764818)Termination phase: Saturation
% 11.21/2.56  % (764818)Time elapsed: 0.068 s
% 11.21/2.56  % (764818)Peak memory usage: 88 MB
% 11.21/2.56  % (764818)Instructions burned: 157 (million)
% 11.21/2.56  % (764817)Instruction limit reached! 
% 11.21/2.56  % (764817)------------------------------
% 11.21/2.56  % (764817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764817)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764817)Termination reason: Instruction limit
% 11.21/2.56  % (764817)Termination phase: Saturation
% 11.21/2.56  % (764817)Time elapsed: 0.149 s
% 11.21/2.56  % (764817)Peak memory usage: 94 MB
% 11.21/2.56  % (764817)Instructions burned: 285 (million)
% 11.21/2.56  % (764820)Instruction limit reached! 
% 11.21/2.56  % (764820)------------------------------
% 11.21/2.56  % (764820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764820)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764820)Termination reason: Instruction limit
% 11.21/2.56  % (764820)Termination phase: Saturation
% 11.21/2.56  % (764820)Time elapsed: 0.111 s
% 11.21/2.56  % (764820)Peak memory usage: 89 MB
% 11.21/2.56  % (764820)Instructions burned: 248 (million)
% 11.21/2.56  % (764819)Instruction limit reached! 
% 11.21/2.56  % (764819)------------------------------
% 11.21/2.56  % (764819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764819)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764819)Termination reason: Instruction limit
% 11.21/2.56  % (764819)Termination phase: Saturation
% 11.21/2.56  % (764819)Time elapsed: 0.160 s
% 11.21/2.56  % (764819)Peak memory usage: 91 MB
% 11.21/2.56  % (764819)Instructions burned: 326 (million)
% 11.21/2.56  % (764825)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1975161494:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.21/2.56  % (764826)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=848538482:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.21/2.56  % (764827)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1744035362:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 11.21/2.56  % (764828)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1550819395:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.21/2.56  % (764827)Instruction limit reached! 
% 11.21/2.56  % (764827)------------------------------
% 11.21/2.56  % (764827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764827)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764827)Termination reason: Instruction limit
% 11.21/2.56  % (764827)Termination phase: Saturation
% 11.21/2.56  % (764827)Time elapsed: 0.065 s
% 11.21/2.56  % (764827)Peak memory usage: 92 MB
% 11.21/2.56  % (764827)Instructions burned: 115 (million)
% 11.21/2.56  % (764825)Instruction limit reached! 
% 11.21/2.56  % (764825)------------------------------
% 11.21/2.56  % (764825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764825)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764825)Termination reason: Instruction limit
% 11.21/2.56  % (764825)Termination phase: Saturation
% 11.21/2.56  % (764825)Time elapsed: 0.152 s
% 11.21/2.56  % (764825)Peak memory usage: 91 MB
% 11.21/2.56  % (764825)Instructions burned: 295 (million)
% 11.21/2.56  % (764828)Instruction limit reached! 
% 11.21/2.56  % (764828)------------------------------
% 11.21/2.56  % (764828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764828)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764828)Termination reason: Instruction limit
% 11.21/2.56  % (764828)Termination phase: Saturation
% 11.21/2.56  % (764828)Time elapsed: 0.067 s
% 11.21/2.56  % (764828)Peak memory usage: 89 MB
% 11.21/2.56  % (764828)Instructions burned: 127 (million)
% 11.21/2.56  % (764833)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1017106865:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 11.21/2.56  % (764834)lrs+10_1_sil=8000:sp=occurrence:random_seed=3938264833:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 11.21/2.56  % (764835)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=319475480:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 11.21/2.56  % (764833)Instruction limit reached! 
% 11.21/2.56  % (764833)------------------------------
% 11.21/2.56  % (764833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764833)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764833)Termination reason: Instruction limit
% 11.21/2.56  % (764833)Termination phase: Saturation
% 11.21/2.56  % (764833)Time elapsed: 0.048 s
% 11.21/2.56  % (764833)Peak memory usage: 89 MB
% 11.21/2.56  % (764833)Instructions burned: 115 (million)
% 11.21/2.56  % (764839)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3320194000:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 11.21/2.56  % (764835)Instruction limit reached! 
% 11.21/2.56  % (764835)------------------------------
% 11.21/2.56  % (764835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764835)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764835)Termination reason: Instruction limit
% 11.21/2.56  % (764835)Termination phase: Saturation
% 11.21/2.56  % (764835)Time elapsed: 0.228 s
% 11.21/2.56  % (764835)Peak memory usage: 93 MB
% 11.21/2.56  % (764835)Instructions burned: 438 (million)
% 11.21/2.56  % (764841)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1115604067:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 11.21/2.56  % (764834)Instruction limit reached! 
% 11.21/2.56  % (764834)------------------------------
% 11.21/2.56  % (764834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764834)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764834)Termination reason: Instruction limit
% 11.21/2.56  % (764834)Termination phase: Saturation
% 11.21/2.56  % (764834)Time elapsed: 0.425 s
% 11.21/2.56  % (764834)Peak memory usage: 99 MB
% 11.21/2.56  % (764834)Instructions burned: 907 (million)
% 11.21/2.56  % (764841)Instruction limit reached! 
% 11.21/2.56  % (764841)------------------------------
% 11.21/2.56  % (764841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764841)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764841)Termination reason: Instruction limit
% 11.21/2.56  % (764841)Termination phase: Saturation
% 11.21/2.56  % (764841)Time elapsed: 0.061 s
% 11.21/2.56  % (764841)Peak memory usage: 89 MB
% 11.21/2.56  % (764841)Instructions burned: 136 (million)
% 11.21/2.56  % (764843)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3882718076:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 11.21/2.56  % (764844)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3044192733:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 11.21/2.56  % (764804)First to succeed.
% 11.21/2.56  % (764804)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-764798"
% 11.21/2.56  % (764843)Instruction limit reached! 
% 11.21/2.56  % (764843)------------------------------
% 11.21/2.56  % (764843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56  % (764843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56  % (764843)CaDiCaL version: 2.1.3
% 11.21/2.56  % (764843)Termination reason: Instruction limit
% 11.21/2.56  % (764843)Termination phase: Saturation
% 11.21/2.56  % (764843)Time elapsed: 0.297 s
% 11.21/2.56  % (764843)Peak memory usage: 92 MB
% 11.21/2.56  % (764843)Instructions burned: 593 (million)
% 11.21/2.56  % (764804)Refutation found. Thanks to Tanya!
% 11.21/2.56  % SZS status Theorem for theBenchmark
% 11.21/2.56  % SZS output start Proof for theBenchmark
% See solution above
% 12.61/2.74  % (764804)------------------------------
% 12.61/2.74  % (764804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.61/2.74  % (764804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.74  % (764804)CaDiCaL version: 2.1.3
% 12.61/2.74  % (764804)Termination reason: Refutation
% 12.61/2.74  % (764804)Time elapsed: 1.301 s
% 12.61/2.74  % (764804)Peak memory usage: 133 MB
% 12.61/2.74  % (764804)Instructions burned: 2222 (million)
% 12.61/2.74  % (764804)------------------------------
% 12.61/2.74  % (764804)------------------------------
% 12.61/2.74  % (764798)Success in time 1.701 s
% 12.61/2.74  % Vampire exiting
%------------------------------------------------------------------------------