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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL654+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 11:54:19 AM UTC 2026

% Result   : Theorem 4.87s 1.39s
% Output   : Refutation 6.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  125 (  22 unt;   9 def)
%            Number of atoms       : 2149 (   0 equ)
%            Maximal formula atoms :  205 (  17 avg)
%            Number of connectives : 4102 (2078   ~;1688   |; 327   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   82 (  10 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  11 usr;  10 prp; 0-2 aty)
%            Number of functors    :   61 (  61 usr;  36 con; 0-1 aty)
%            Number of variables   : 1485 (   0 sgn1358   !; 127   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ( ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | ~ p1(X1) ) )
                                    & p1(X1) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X0,X1)
                                              | ~ ! [X0] :
                                                    ( ~ r1(X1,X0)
                                                    | p1(X0) ) )
                                        & ~ ! [X1] :
                                              ( ~ r1(X0,X1)
                                              | p1(X1) ) ) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ( ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | ~ ! [X0] :
                                                      ( ~ r1(X1,X0)
                                                      | p1(X0) ) ) )
                                    & ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | p1(X1) ) ) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | $false ) ) ) ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(X1) ) )
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ p1(X0) ) )
                                & p1(X0) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ( ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | p1(X1) ) )
                                    & ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | p1(X0) ) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ ! [X1] :
                                                  ( ~ r1(X0,X1)
                                                  | p1(X1) ) ) )
                                & ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | p1(X0) ) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | $false ) ) ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(X1) ) )
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ p1(X1) ) )
                            & p1(X1) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | p1(X0) ) )
                                & ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(X1) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ ! [X0] :
                                              ( ~ r1(X1,X0)
                                              | p1(X0) ) ) )
                            & ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | p1(X1) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ! [X0] :
                              ( ~ r1(X1,X0)
                              | $false ) ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(X1) ) )
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ p1(X0) ) )
                        & p1(X0) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ ( ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | p1(X1) ) )
                            & ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | p1(X0) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ ! [X1] :
                                          ( ~ r1(X0,X1)
                                          | p1(X1) ) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ! [X1] :
                          ( ~ r1(X0,X1)
                          | $false ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(X1) ) )
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ p1(X1) ) )
                    & p1(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | p1(X0) ) ) )
                    & ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ! [X0] :
                      ( ~ r1(X1,X0)
                      | $false ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ! [X1] :
                      ( ~ r1(X0,X1)
                      | ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | p1(X1) ) )
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p1(X0) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

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

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

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

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

fof(f8,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1(X0,X1)
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X3] :
                  ( ~ r1(X2,X3)
                  | ! [X4] :
                      ( ~ r1(X3,X4)
                      | ! [X5] :
                          ( ~ r1(X4,X5)
                          | ! [X6] :
                              ( ~ r1(X5,X6)
                              | ? [X7] :
                                  ( r1(X6,X7)
                                  & p1(X7) ) )
                          | ~ p1(X5) ) ) ) ) )
      & ! [X8] :
          ( ~ r1(X0,X8)
          | ! [X9] :
              ( ~ r1(X8,X9)
              | ! [X10] :
                  ( ~ r1(X9,X10)
                  | ! [X11] :
                      ( ~ r1(X10,X11)
                      | ! [X12] :
                          ( ~ r1(X11,X12)
                          | ! [X13] :
                              ( ~ r1(X12,X13)
                              | ! [X14] :
                                  ( ~ r1(X13,X14)
                                  | ? [X15] :
                                      ( r1(X14,X15)
                                      & ~ p1(X15) ) )
                              | ! [X16] :
                                  ( ~ r1(X13,X16)
                                  | p1(X16) ) ) ) ) ) ) )
      & ! [X17] :
          ( ~ r1(X0,X17)
          | ! [X18] :
              ( ~ r1(X17,X18)
              | ! [X19] :
                  ( ~ r1(X18,X19)
                  | ! [X20] :
                      ( ~ r1(X19,X20)
                      | ! [X21] :
                          ( ~ r1(X20,X21)
                          | ! [X22] :
                              ( ~ r1(X21,X22)
                              | ? [X23] :
                                  ( r1(X22,X23)
                                  & ! [X24] :
                                      ( ~ r1(X23,X24)
                                      | p1(X24) ) ) )
                          | ! [X25] :
                              ( ~ r1(X21,X25)
                              | ? [X26] :
                                  ( r1(X25,X26)
                                  & ~ p1(X26) ) ) ) ) ) ) )
      & ! [X27] :
          ( ~ r1(X0,X27)
          | ! [X28] :
              ( ~ r1(X27,X28)
              | ! [X29] :
                  ( ~ r1(X28,X29)
                  | ! [X30] :
                      ( ~ r1(X29,X30)
                      | ! [X31] :
                          ( ~ r1(X30,X31)
                          | ? [X32] : r1(X31,X32) ) ) ) ) )
      & ? [X33] :
          ( r1(X0,X33)
          & ? [X34] :
              ( r1(X33,X34)
              & ? [X35] :
                  ( r1(X34,X35)
                  & ? [X36] :
                      ( r1(X35,X36)
                      & ? [X37] :
                          ( r1(X36,X37)
                          & ? [X38] :
                              ( r1(X37,X38)
                              & ? [X39] :
                                  ( r1(X38,X39)
                                  & ~ p1(X39) ) )
                          & ! [X40] :
                              ( ~ r1(X37,X40)
                              | p1(X40) ) ) ) ) ) )
      & ! [X41] :
          ( ~ r1(X0,X41)
          | ! [X42] :
              ( ~ r1(X41,X42)
              | ! [X43] :
                  ( ~ r1(X42,X43)
                  | ! [X44] :
                      ( ~ r1(X43,X44)
                      | ! [X45] :
                          ( ~ r1(X44,X45)
                          | ? [X46] :
                              ( r1(X45,X46)
                              & p1(X46) ) )
                      | ~ p1(X44) ) ) ) )
      & ! [X47] :
          ( ~ r1(X0,X47)
          | ! [X48] :
              ( ~ r1(X47,X48)
              | ! [X49] :
                  ( ~ r1(X48,X49)
                  | ! [X50] :
                      ( ~ r1(X49,X50)
                      | ! [X51] :
                          ( ~ r1(X50,X51)
                          | ! [X52] :
                              ( ~ r1(X51,X52)
                              | ? [X53] :
                                  ( r1(X52,X53)
                                  & ~ p1(X53) ) )
                          | ! [X54] :
                              ( ~ r1(X51,X54)
                              | p1(X54) ) ) ) ) ) )
      & ! [X55] :
          ( ~ r1(X0,X55)
          | ! [X56] :
              ( ~ r1(X55,X56)
              | ! [X57] :
                  ( ~ r1(X56,X57)
                  | ! [X58] :
                      ( ~ r1(X57,X58)
                      | ! [X59] :
                          ( ~ r1(X58,X59)
                          | ? [X60] :
                              ( r1(X59,X60)
                              & ! [X61] :
                                  ( ~ r1(X60,X61)
                                  | p1(X61) ) ) )
                      | ! [X62] :
                          ( ~ r1(X58,X62)
                          | ? [X63] :
                              ( r1(X62,X63)
                              & ~ p1(X63) ) ) ) ) ) )
      & ! [X64] :
          ( ~ r1(X0,X64)
          | ! [X65] :
              ( ~ r1(X64,X65)
              | ! [X66] :
                  ( ~ r1(X65,X66)
                  | ! [X67] :
                      ( ~ r1(X66,X67)
                      | ? [X68] : r1(X67,X68) ) ) ) )
      & ? [X69] :
          ( r1(X0,X69)
          & ? [X70] :
              ( r1(X69,X70)
              & ? [X71] :
                  ( r1(X70,X71)
                  & ? [X72] :
                      ( r1(X71,X72)
                      & ? [X73] :
                          ( r1(X72,X73)
                          & ? [X74] :
                              ( r1(X73,X74)
                              & ? [X75] :
                                  ( r1(X74,X75)
                                  & ~ p1(X75) ) )
                          & ! [X76] :
                              ( ~ r1(X73,X76)
                              | p1(X76) ) ) ) ) ) )
      & ! [X77] :
          ( ~ r1(X0,X77)
          | ! [X78] :
              ( ~ r1(X77,X78)
              | ! [X79] :
                  ( ~ r1(X78,X79)
                  | ! [X80] :
                      ( ~ r1(X79,X80)
                      | ? [X81] :
                          ( r1(X80,X81)
                          & p1(X81) ) )
                  | ~ p1(X79) ) ) )
      & ! [X82] :
          ( ~ r1(X0,X82)
          | ! [X83] :
              ( ~ r1(X82,X83)
              | ! [X84] :
                  ( ~ r1(X83,X84)
                  | ! [X85] :
                      ( ~ r1(X84,X85)
                      | ! [X86] :
                          ( ~ r1(X85,X86)
                          | ? [X87] :
                              ( r1(X86,X87)
                              & ~ p1(X87) ) )
                      | ! [X88] :
                          ( ~ r1(X85,X88)
                          | p1(X88) ) ) ) ) )
      & ! [X89] :
          ( ~ r1(X0,X89)
          | ! [X90] :
              ( ~ r1(X89,X90)
              | ! [X91] :
                  ( ~ r1(X90,X91)
                  | ! [X92] :
                      ( ~ r1(X91,X92)
                      | ? [X93] :
                          ( r1(X92,X93)
                          & ! [X94] :
                              ( ~ r1(X93,X94)
                              | p1(X94) ) ) )
                  | ! [X95] :
                      ( ~ r1(X91,X95)
                      | ? [X96] :
                          ( r1(X95,X96)
                          & ~ p1(X96) ) ) ) ) )
      & ! [X97] :
          ( ~ r1(X0,X97)
          | ! [X98] :
              ( ~ r1(X97,X98)
              | ! [X99] :
                  ( ~ r1(X98,X99)
                  | ? [X100] : r1(X99,X100) ) ) )
      & ? [X101] :
          ( r1(X0,X101)
          & ? [X102] :
              ( r1(X101,X102)
              & ? [X103] :
                  ( r1(X102,X103)
                  & ? [X104] :
                      ( r1(X103,X104)
                      & ? [X105] :
                          ( r1(X104,X105)
                          & ? [X106] :
                              ( r1(X105,X106)
                              & ? [X107] :
                                  ( r1(X106,X107)
                                  & ~ p1(X107) ) )
                          & ! [X108] :
                              ( ~ r1(X105,X108)
                              | p1(X108) ) ) ) ) ) )
      & ! [X109] :
          ( ~ r1(X0,X109)
          | ! [X110] :
              ( ~ r1(X109,X110)
              | ! [X111] :
                  ( ~ r1(X110,X111)
                  | ? [X112] :
                      ( r1(X111,X112)
                      & p1(X112) ) )
              | ~ p1(X110) ) )
      & ! [X113] :
          ( ~ r1(X0,X113)
          | ! [X114] :
              ( ~ r1(X113,X114)
              | ! [X115] :
                  ( ~ r1(X114,X115)
                  | ! [X116] :
                      ( ~ r1(X115,X116)
                      | ? [X117] :
                          ( r1(X116,X117)
                          & ~ p1(X117) ) )
                  | ! [X118] :
                      ( ~ r1(X115,X118)
                      | p1(X118) ) ) ) )
      & ! [X119] :
          ( ~ r1(X0,X119)
          | ! [X120] :
              ( ~ r1(X119,X120)
              | ! [X121] :
                  ( ~ r1(X120,X121)
                  | ? [X122] :
                      ( r1(X121,X122)
                      & ! [X123] :
                          ( ~ r1(X122,X123)
                          | p1(X123) ) ) )
              | ! [X124] :
                  ( ~ r1(X120,X124)
                  | ? [X125] :
                      ( r1(X124,X125)
                      & ~ p1(X125) ) ) ) )
      & ! [X126] :
          ( ~ r1(X0,X126)
          | ! [X127] :
              ( ~ r1(X126,X127)
              | ? [X128] : r1(X127,X128) ) )
      & ? [X129] :
          ( r1(X0,X129)
          & ? [X130] :
              ( r1(X129,X130)
              & ? [X131] :
                  ( r1(X130,X131)
                  & ? [X132] :
                      ( r1(X131,X132)
                      & ? [X133] :
                          ( r1(X132,X133)
                          & ? [X134] :
                              ( r1(X133,X134)
                              & ? [X135] :
                                  ( r1(X134,X135)
                                  & ~ p1(X135) ) )
                          & ! [X136] :
                              ( ~ r1(X133,X136)
                              | p1(X136) ) ) ) ) ) )
      & ! [X137] :
          ( ~ r1(X0,X137)
          | ! [X138] :
              ( ~ r1(X137,X138)
              | ? [X139] :
                  ( r1(X138,X139)
                  & p1(X139) ) )
          | ~ p1(X137) )
      & ! [X140] :
          ( ~ r1(X0,X140)
          | ! [X141] :
              ( ~ r1(X140,X141)
              | ! [X142] :
                  ( ~ r1(X141,X142)
                  | ? [X143] :
                      ( r1(X142,X143)
                      & ~ p1(X143) ) )
              | ! [X144] :
                  ( ~ r1(X141,X144)
                  | p1(X144) ) ) )
      & ! [X145] :
          ( ~ r1(X0,X145)
          | ! [X146] :
              ( ~ r1(X145,X146)
              | ? [X147] :
                  ( r1(X146,X147)
                  & ! [X148] :
                      ( ~ r1(X147,X148)
                      | p1(X148) ) ) )
          | ! [X149] :
              ( ~ r1(X145,X149)
              | ? [X150] :
                  ( r1(X149,X150)
                  & ~ p1(X150) ) ) )
      & ! [X151] :
          ( ~ r1(X0,X151)
          | ? [X152] : r1(X151,X152) )
      & ? [X153] :
          ( r1(X0,X153)
          & ? [X154] :
              ( r1(X153,X154)
              & ? [X155] :
                  ( r1(X154,X155)
                  & ? [X156] :
                      ( r1(X155,X156)
                      & ? [X157] :
                          ( r1(X156,X157)
                          & ? [X158] :
                              ( r1(X157,X158)
                              & ? [X159] :
                                  ( r1(X158,X159)
                                  & ~ p1(X159) ) )
                          & ! [X160] :
                              ( ~ r1(X157,X160)
                              | p1(X160) ) ) ) ) ) ) ),
    inference(flattening,[],[f7]) ).

fof(f9,plain,
    ( ! [X1] :
        ( ~ r1(sK0,X1)
        | ! [X2] :
            ( ~ r1(X1,X2)
            | ! [X3] :
                ( ~ r1(X2,X3)
                | ! [X4] :
                    ( ~ r1(X3,X4)
                    | ! [X5] :
                        ( ~ r1(X4,X5)
                        | ! [X6] :
                            ( ~ r1(X5,X6)
                            | ( r1(X6,sK1(X6))
                              & p1(sK1(X6)) ) )
                        | ~ p1(X5) ) ) ) ) )
    & ! [X8] :
        ( ~ r1(sK0,X8)
        | ! [X9] :
            ( ~ r1(X8,X9)
            | ! [X10] :
                ( ~ r1(X9,X10)
                | ! [X11] :
                    ( ~ r1(X10,X11)
                    | ! [X12] :
                        ( ~ r1(X11,X12)
                        | ! [X13] :
                            ( ~ r1(X12,X13)
                            | ! [X14] :
                                ( ~ r1(X13,X14)
                                | ( r1(X14,sK2(X14))
                                  & ~ p1(sK2(X14)) ) )
                            | ! [X16] :
                                ( ~ r1(X13,X16)
                                | p1(X16) ) ) ) ) ) ) )
    & ! [X17] :
        ( ~ r1(sK0,X17)
        | ! [X18] :
            ( ~ r1(X17,X18)
            | ! [X19] :
                ( ~ r1(X18,X19)
                | ! [X20] :
                    ( ~ r1(X19,X20)
                    | ! [X21] :
                        ( ~ r1(X20,X21)
                        | ! [X22] :
                            ( ~ r1(X21,X22)
                            | ( r1(X22,sK3(X22))
                              & ! [X24] :
                                  ( ~ r1(sK3(X22),X24)
                                  | p1(X24) ) ) )
                        | ! [X25] :
                            ( ~ r1(X21,X25)
                            | ( r1(X25,sK4(X25))
                              & ~ p1(sK4(X25)) ) ) ) ) ) ) )
    & ! [X27] :
        ( ~ r1(sK0,X27)
        | ! [X28] :
            ( ~ r1(X27,X28)
            | ! [X29] :
                ( ~ r1(X28,X29)
                | ! [X30] :
                    ( ~ r1(X29,X30)
                    | ! [X31] :
                        ( ~ r1(X30,X31)
                        | r1(X31,sK5(X31)) ) ) ) ) )
    & r1(sK0,sK6)
    & r1(sK6,sK7)
    & r1(sK7,sK8)
    & r1(sK8,sK9)
    & r1(sK9,sK10)
    & r1(sK10,sK11)
    & r1(sK11,sK12)
    & ~ p1(sK12)
    & ! [X40] :
        ( ~ r1(sK10,X40)
        | p1(X40) )
    & ! [X41] :
        ( ~ r1(sK0,X41)
        | ! [X42] :
            ( ~ r1(X41,X42)
            | ! [X43] :
                ( ~ r1(X42,X43)
                | ! [X44] :
                    ( ~ r1(X43,X44)
                    | ! [X45] :
                        ( ~ r1(X44,X45)
                        | ( r1(X45,sK13(X45))
                          & p1(sK13(X45)) ) )
                    | ~ p1(X44) ) ) ) )
    & ! [X47] :
        ( ~ r1(sK0,X47)
        | ! [X48] :
            ( ~ r1(X47,X48)
            | ! [X49] :
                ( ~ r1(X48,X49)
                | ! [X50] :
                    ( ~ r1(X49,X50)
                    | ! [X51] :
                        ( ~ r1(X50,X51)
                        | ! [X52] :
                            ( ~ r1(X51,X52)
                            | ( r1(X52,sK14(X52))
                              & ~ p1(sK14(X52)) ) )
                        | ! [X54] :
                            ( ~ r1(X51,X54)
                            | p1(X54) ) ) ) ) ) )
    & ! [X55] :
        ( ~ r1(sK0,X55)
        | ! [X56] :
            ( ~ r1(X55,X56)
            | ! [X57] :
                ( ~ r1(X56,X57)
                | ! [X58] :
                    ( ~ r1(X57,X58)
                    | ! [X59] :
                        ( ~ r1(X58,X59)
                        | ( r1(X59,sK15(X59))
                          & ! [X61] :
                              ( ~ r1(sK15(X59),X61)
                              | p1(X61) ) ) )
                    | ! [X62] :
                        ( ~ r1(X58,X62)
                        | ( r1(X62,sK16(X62))
                          & ~ p1(sK16(X62)) ) ) ) ) ) )
    & ! [X64] :
        ( ~ r1(sK0,X64)
        | ! [X65] :
            ( ~ r1(X64,X65)
            | ! [X66] :
                ( ~ r1(X65,X66)
                | ! [X67] :
                    ( ~ r1(X66,X67)
                    | r1(X67,sK17(X67)) ) ) ) )
    & r1(sK0,sK18)
    & r1(sK18,sK19)
    & r1(sK19,sK20)
    & r1(sK20,sK21)
    & r1(sK21,sK22)
    & r1(sK22,sK23)
    & r1(sK23,sK24)
    & ~ p1(sK24)
    & ! [X76] :
        ( ~ r1(sK22,X76)
        | p1(X76) )
    & ! [X77] :
        ( ~ r1(sK0,X77)
        | ! [X78] :
            ( ~ r1(X77,X78)
            | ! [X79] :
                ( ~ r1(X78,X79)
                | ! [X80] :
                    ( ~ r1(X79,X80)
                    | ( r1(X80,sK25(X80))
                      & p1(sK25(X80)) ) )
                | ~ p1(X79) ) ) )
    & ! [X82] :
        ( ~ r1(sK0,X82)
        | ! [X83] :
            ( ~ r1(X82,X83)
            | ! [X84] :
                ( ~ r1(X83,X84)
                | ! [X85] :
                    ( ~ r1(X84,X85)
                    | ! [X86] :
                        ( ~ r1(X85,X86)
                        | ( r1(X86,sK26(X86))
                          & ~ p1(sK26(X86)) ) )
                    | ! [X88] :
                        ( ~ r1(X85,X88)
                        | p1(X88) ) ) ) ) )
    & ! [X89] :
        ( ~ r1(sK0,X89)
        | ! [X90] :
            ( ~ r1(X89,X90)
            | ! [X91] :
                ( ~ r1(X90,X91)
                | ! [X92] :
                    ( ~ r1(X91,X92)
                    | ( r1(X92,sK27(X92))
                      & ! [X94] :
                          ( ~ r1(sK27(X92),X94)
                          | p1(X94) ) ) )
                | ! [X95] :
                    ( ~ r1(X91,X95)
                    | ( r1(X95,sK28(X95))
                      & ~ p1(sK28(X95)) ) ) ) ) )
    & ! [X97] :
        ( ~ r1(sK0,X97)
        | ! [X98] :
            ( ~ r1(X97,X98)
            | ! [X99] :
                ( ~ r1(X98,X99)
                | r1(X99,sK29(X99)) ) ) )
    & r1(sK0,sK30)
    & r1(sK30,sK31)
    & r1(sK31,sK32)
    & r1(sK32,sK33)
    & r1(sK33,sK34)
    & r1(sK34,sK35)
    & r1(sK35,sK36)
    & ~ p1(sK36)
    & ! [X108] :
        ( ~ r1(sK34,X108)
        | p1(X108) )
    & ! [X109] :
        ( ~ r1(sK0,X109)
        | ! [X110] :
            ( ~ r1(X109,X110)
            | ! [X111] :
                ( ~ r1(X110,X111)
                | ( r1(X111,sK37(X111))
                  & p1(sK37(X111)) ) )
            | ~ p1(X110) ) )
    & ! [X113] :
        ( ~ r1(sK0,X113)
        | ! [X114] :
            ( ~ r1(X113,X114)
            | ! [X115] :
                ( ~ r1(X114,X115)
                | ! [X116] :
                    ( ~ r1(X115,X116)
                    | ( r1(X116,sK38(X116))
                      & ~ p1(sK38(X116)) ) )
                | ! [X118] :
                    ( ~ r1(X115,X118)
                    | p1(X118) ) ) ) )
    & ! [X119] :
        ( ~ r1(sK0,X119)
        | ! [X120] :
            ( ~ r1(X119,X120)
            | ! [X121] :
                ( ~ r1(X120,X121)
                | ( r1(X121,sK39(X121))
                  & ! [X123] :
                      ( ~ r1(sK39(X121),X123)
                      | p1(X123) ) ) )
            | ! [X124] :
                ( ~ r1(X120,X124)
                | ( r1(X124,sK40(X124))
                  & ~ p1(sK40(X124)) ) ) ) )
    & ! [X126] :
        ( ~ r1(sK0,X126)
        | ! [X127] :
            ( ~ r1(X126,X127)
            | r1(X127,sK41(X127)) ) )
    & r1(sK0,sK42)
    & r1(sK42,sK43)
    & r1(sK43,sK44)
    & r1(sK44,sK45)
    & r1(sK45,sK46)
    & r1(sK46,sK47)
    & r1(sK47,sK48)
    & ~ p1(sK48)
    & ! [X136] :
        ( ~ r1(sK46,X136)
        | p1(X136) )
    & ! [X137] :
        ( ~ r1(sK0,X137)
        | ! [X138] :
            ( ~ r1(X137,X138)
            | ( r1(X138,sK49(X138))
              & p1(sK49(X138)) ) )
        | ~ p1(X137) )
    & ! [X140] :
        ( ~ r1(sK0,X140)
        | ! [X141] :
            ( ~ r1(X140,X141)
            | ! [X142] :
                ( ~ r1(X141,X142)
                | ( r1(X142,sK50(X142))
                  & ~ p1(sK50(X142)) ) )
            | ! [X144] :
                ( ~ r1(X141,X144)
                | p1(X144) ) ) )
    & ! [X145] :
        ( ~ r1(sK0,X145)
        | ! [X146] :
            ( ~ r1(X145,X146)
            | ( r1(X146,sK51(X146))
              & ! [X148] :
                  ( ~ r1(sK51(X146),X148)
                  | p1(X148) ) ) )
        | ! [X149] :
            ( ~ r1(X145,X149)
            | ( r1(X149,sK52(X149))
              & ~ p1(sK52(X149)) ) ) )
    & ! [X151] :
        ( ~ r1(sK0,X151)
        | r1(X151,sK53(X151)) )
    & r1(sK0,sK54)
    & r1(sK54,sK55)
    & r1(sK55,sK56)
    & r1(sK56,sK57)
    & r1(sK57,sK58)
    & r1(sK58,sK59)
    & r1(sK59,sK60)
    & ~ p1(sK60)
    & ! [X160] :
        ( ~ r1(sK58,X160)
        | p1(X160) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60]),skolemize(X0,sK0),skolemize(X7,sK1(X6)),skolemize(X15,sK2(X14)),skolemize(X23,sK3(X22)),skolemize(X26,sK4(X25)),skolemize(X32,sK5(X31)),skolemize(X33,sK6),skolemize(X34,sK7),skolemize(X35,sK8),skolemize(X36,sK9),skolemize(X37,sK10),skolemize(X38,sK11),skolemize(X39,sK12),skolemize(X46,sK13(X45)),skolemize(X53,sK14(X52)),skolemize(X60,sK15(X59)),skolemize(X63,sK16(X62)),skolemize(X68,sK17(X67)),skolemize(X69,sK18),skolemize(X70,sK19),skolemize(X71,sK20),skolemize(X72,sK21),skolemize(X73,sK22),skolemize(X74,sK23),skolemize(X75,sK24),skolemize(X81,sK25(X80)),skolemize(X87,sK26(X86)),skolemize(X93,sK27(X92)),skolemize(X96,sK28(X95)),skolemize(X100,sK29(X99)),skolemize(X101,sK30),skolemize(X102,sK31),skolemize(X103,sK32),skolemize(X104,sK33),skolemize(X105,sK34),skolemize(X106,sK35),skolemize(X107,sK36),skolemize(X112,sK37(X111)),skolemize(X117,sK38(X116)),skolemize(X122,sK39(X121)),skolemize(X125,sK40(X124)),skolemize(X128,sK41(X127)),skolemize(X129,sK42),skolemize(X130,sK43),skolemize(X131,sK44),skolemize(X132,sK45),skolemize(X133,sK46),skolemize(X134,sK47),skolemize(X135,sK48),skolemize(X139,sK49(X138)),skolemize(X143,sK50(X142)),skolemize(X147,sK51(X146)),skolemize(X150,sK52(X149)),skolemize(X152,sK53(X151)),skolemize(X153,sK54),skolemize(X154,sK55),skolemize(X155,sK56),skolemize(X156,sK57),skolemize(X157,sK58),skolemize(X158,sK59),skolemize(X159,sK60)],[f8]) ).

fof(f10,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f65,plain,
    ! [X76] :
      ( ~ r1(sK22,X76)
      | p1(X76) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f66,plain,
    ~ p1(sK24),
    inference(cnf_transformation,[],[f9]) ).

fof(f67,plain,
    r1(sK23,sK24),
    inference(cnf_transformation,[],[f9]) ).

fof(f68,plain,
    r1(sK22,sK23),
    inference(cnf_transformation,[],[f9]) ).

fof(f69,plain,
    r1(sK21,sK22),
    inference(cnf_transformation,[],[f9]) ).

fof(f70,plain,
    r1(sK20,sK21),
    inference(cnf_transformation,[],[f9]) ).

fof(f71,plain,
    r1(sK19,sK20),
    inference(cnf_transformation,[],[f9]) ).

fof(f72,plain,
    r1(sK18,sK19),
    inference(cnf_transformation,[],[f9]) ).

fof(f73,plain,
    r1(sK0,sK18),
    inference(cnf_transformation,[],[f9]) ).

fof(f93,plain,
    ! [X21,X18,X19,X17,X24,X22,X25,X20] :
      ( ~ r1(sK3(X22),X24)
      | ~ r1(X17,X18)
      | ~ r1(X18,X19)
      | ~ r1(X19,X20)
      | ~ r1(X20,X21)
      | ~ r1(X21,X22)
      | ~ r1(sK0,X17)
      | p1(X24)
      | ~ r1(X21,X25)
      | ~ p1(sK4(X25)) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f94,plain,
    ! [X21,X18,X19,X17,X24,X22,X25,X20] :
      ( ~ r1(sK3(X22),X24)
      | ~ r1(X17,X18)
      | ~ r1(X18,X19)
      | ~ r1(X19,X20)
      | ~ r1(X20,X21)
      | ~ r1(X21,X22)
      | ~ r1(sK0,X17)
      | p1(X24)
      | ~ r1(X21,X25)
      | r1(X25,sK4(X25)) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f95,plain,
    ! [X21,X18,X19,X17,X22,X25,X20] :
      ( ~ p1(sK4(X25))
      | ~ r1(X17,X18)
      | ~ r1(X18,X19)
      | ~ r1(X19,X20)
      | ~ r1(X20,X21)
      | ~ r1(X21,X22)
      | r1(X22,sK3(X22))
      | ~ r1(X21,X25)
      | ~ r1(sK0,X17) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f96,plain,
    ! [X21,X18,X19,X17,X22,X25,X20] :
      ( ~ r1(sK0,X17)
      | ~ r1(X17,X18)
      | ~ r1(X18,X19)
      | ~ r1(X19,X20)
      | ~ r1(X20,X21)
      | ~ r1(X21,X22)
      | r1(X22,sK3(X22))
      | ~ r1(X21,X25)
      | r1(X25,sK4(X25)) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f97,plain,
    ! [X10,X11,X8,X9,X16,X14,X12,X13] :
      ( ~ p1(sK2(X14))
      | ~ r1(X8,X9)
      | ~ r1(X9,X10)
      | ~ r1(X10,X11)
      | ~ r1(X11,X12)
      | ~ r1(X12,X13)
      | ~ r1(X13,X14)
      | ~ r1(sK0,X8)
      | ~ r1(X13,X16)
      | p1(X16) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f98,plain,
    ! [X10,X11,X8,X9,X16,X14,X12,X13] :
      ( ~ r1(sK0,X8)
      | ~ r1(X8,X9)
      | ~ r1(X9,X10)
      | ~ r1(X10,X11)
      | ~ r1(X11,X12)
      | ~ r1(X12,X13)
      | ~ r1(X13,X14)
      | r1(X14,sK2(X14))
      | ~ r1(X13,X16)
      | p1(X16) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ r1(sK18,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | ~ r1(X4,X5)
      | r1(X5,sK2(X5))
      | ~ r1(X4,X6)
      | p1(X6) ),
    inference(resolution,[],[f98,f73]) ).

fof(f124,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r1(sK18,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | r1(X4,sK3(X4))
      | ~ r1(X3,X5)
      | r1(X5,sK4(X5)) ),
    inference(resolution,[],[f96,f73]) ).

fof(f215,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r1(sK19,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | ~ r1(X3,X4)
      | r1(X4,sK2(X4))
      | ~ r1(X3,X5)
      | p1(X5) ),
    inference(resolution,[],[f112,f72]) ).

fof(f219,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(sK20,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | r1(X3,sK2(X3))
      | ~ r1(X2,X4)
      | p1(X4) ),
    inference(resolution,[],[f215,f71]) ).

fof(f230,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK21,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | r1(X2,sK2(X2))
      | ~ r1(X1,X3)
      | p1(X3) ),
    inference(resolution,[],[f219,f70]) ).

fof(f241,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK22,X0)
      | ~ r1(X0,X1)
      | r1(X1,sK2(X1))
      | ~ r1(X0,X2)
      | p1(X2) ),
    inference(resolution,[],[f230,f69]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( ~ r1(sK23,X0)
      | r1(X0,sK2(X0))
      | ~ r1(sK23,X1)
      | p1(X1) ),
    inference(resolution,[],[f241,f68]) ).

fof(f256,definition,
    ( spl61_17
  <=> ! [X1] :
        ( ~ r1(sK23,X1)
        | p1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl61_17])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X1] :
        ( ~ r1(sK23,X1)
        | p1(X1) )
    | ~ spl61_17 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f259,definition,
    ( spl61_18
  <=> ! [X0] :
        ( ~ r1(sK23,X0)
        | r1(X0,sK2(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl61_18])],[avatar_definition]) ).

fof(f260,plain,
    ( ! [X0] :
        ( r1(X0,sK2(X0))
        | ~ r1(sK23,X0) )
    | ~ spl61_18 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f261,plain,
    ( spl61_17
    | spl61_18 ),
    inference(avatar_split_clause,[],[f252,f259,f256]) ).

fof(f262,plain,
    ( p1(sK24)
    | ~ spl61_17 ),
    inference(resolution,[],[f257,f67]) ).

fof(f274,plain,
    ( $false
    | ~ spl61_17 ),
    inference(forward_subsumption_resolution,[],[f262,f66]) ).

fof(f275,plain,
    ~ spl61_17,
    inference(avatar_contradiction_clause,[],[f274]) ).

fof(f292,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( ~ r1(sK23,sK3(X0))
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | ~ r1(X4,X5)
        | ~ r1(X5,X0)
        | ~ r1(sK0,X1)
        | p1(sK2(sK3(X0)))
        | ~ r1(X5,X6)
        | r1(X6,sK4(X6)) )
    | ~ spl61_18 ),
    inference(resolution,[],[f260,f94]) ).

fof(f293,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( ~ r1(sK23,sK3(X0))
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | ~ r1(X4,X5)
        | ~ r1(X5,X0)
        | ~ r1(sK0,X1)
        | p1(sK2(sK3(X0)))
        | ~ r1(X5,X6)
        | ~ p1(sK4(X6)) )
    | ~ spl61_18 ),
    inference(resolution,[],[f260,f93]) ).

fof(f1900,definition,
    ( spl61_286
  <=> p1(sK4(sK22)) ),
    introduced(definition,[new_symbols(definition,[spl61_286])],[avatar_definition]) ).

fof(f1902,plain,
    ( p1(sK4(sK22))
    | ~ spl61_286 ),
    inference(avatar_component_clause,[],[f1900]) ).

fof(f2346,definition,
    ( spl61_383
  <=> p1(sK2(sK3(sK23))) ),
    introduced(definition,[new_symbols(definition,[spl61_383])],[avatar_definition]) ).

fof(f2348,plain,
    ( p1(sK2(sK3(sK23)))
    | ~ spl61_383 ),
    inference(avatar_component_clause,[],[f2346]) ).

fof(f2350,definition,
    ( spl61_384
  <=> ! [X2,X3,X4,X0,X5,X1] :
        ( ~ r1(X0,X1)
        | ~ p1(sK4(X5))
        | ~ r1(X4,X5)
        | ~ r1(sK0,X0)
        | ~ r1(X4,sK23)
        | ~ r1(X3,X4)
        | ~ r1(X2,X3)
        | ~ r1(X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl61_384])],[avatar_definition]) ).

fof(f2351,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ p1(sK4(X5))
        | ~ r1(X0,X1)
        | ~ r1(X4,X5)
        | ~ r1(sK0,X0)
        | ~ r1(X4,sK23)
        | ~ r1(X3,X4)
        | ~ r1(X2,X3)
        | ~ r1(X1,X2) )
    | ~ spl61_384 ),
    inference(avatar_component_clause,[],[f2350]) ).

fof(f2358,definition,
    ( spl61_386
  <=> ! [X2,X3,X4,X0,X5,X1] :
        ( ~ r1(X0,X1)
        | r1(X5,sK4(X5))
        | ~ r1(X4,X5)
        | ~ r1(sK0,X0)
        | ~ r1(X4,sK23)
        | ~ r1(X3,X4)
        | ~ r1(X2,X3)
        | ~ r1(X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl61_386])],[avatar_definition]) ).

fof(f2359,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(sK0,X0)
        | r1(X5,sK4(X5))
        | ~ r1(X4,X5)
        | ~ r1(X0,X1)
        | ~ r1(X4,sK23)
        | ~ r1(X3,X4)
        | ~ r1(X2,X3)
        | ~ r1(X1,X2) )
    | ~ spl61_386 ),
    inference(avatar_component_clause,[],[f2358]) ).

fof(f2495,definition,
    ( spl61_399
  <=> ! [X0] :
        ( r1(X0,sK3(X0))
        | ~ r1(sK22,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl61_399])],[avatar_definition]) ).

fof(f2496,plain,
    ( ! [X0] :
        ( r1(X0,sK3(X0))
        | ~ r1(sK22,X0) )
    | ~ spl61_399 ),
    inference(avatar_component_clause,[],[f2495]) ).

fof(f3516,definition,
    ( spl61_473
  <=> ! [X0] :
        ( r1(X0,sK4(X0))
        | ~ r1(sK22,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl61_473])],[avatar_definition]) ).

fof(f3517,plain,
    ( ! [X0] :
        ( r1(X0,sK4(X0))
        | ~ r1(sK22,X0) )
    | ~ spl61_473 ),
    inference(avatar_component_clause,[],[f3516]) ).

fof(f3675,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r1(sK19,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | ~ r1(X2,X3)
      | r1(X3,sK3(X3))
      | ~ r1(X2,X4)
      | r1(X4,sK4(X4)) ),
    inference(resolution,[],[f124,f72]) ).

fof(f3686,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK20,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | r1(X2,sK3(X2))
      | ~ r1(X1,X3)
      | r1(X3,sK4(X3)) ),
    inference(resolution,[],[f3675,f71]) ).

fof(f3696,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK21,X0)
      | ~ r1(X0,X1)
      | r1(X1,sK3(X1))
      | ~ r1(X0,X2)
      | r1(X2,sK4(X2)) ),
    inference(resolution,[],[f3686,f70]) ).

fof(f3706,plain,
    ! [X0,X1] :
      ( ~ r1(sK22,X0)
      | r1(X0,sK3(X0))
      | ~ r1(sK22,X1)
      | r1(X1,sK4(X1)) ),
    inference(resolution,[],[f3696,f69]) ).

fof(f3717,plain,
    ( spl61_473
    | spl61_399 ),
    inference(avatar_split_clause,[],[f3706,f2495,f3516]) ).

fof(f3723,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(sK22,sK23)
        | ~ r1(X0,X1)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | ~ r1(X4,sK23)
        | ~ r1(sK0,X0)
        | p1(sK2(sK3(sK23)))
        | ~ r1(X4,X5)
        | r1(X5,sK4(X5)) )
    | ~ spl61_18
    | ~ spl61_399 ),
    inference(resolution,[],[f2496,f292]) ).

fof(f3724,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(sK22,sK23)
        | ~ r1(X0,X1)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | ~ r1(X4,sK23)
        | ~ r1(sK0,X0)
        | p1(sK2(sK3(sK23)))
        | ~ r1(X4,X5)
        | ~ p1(sK4(X5)) )
    | ~ spl61_18
    | ~ spl61_399 ),
    inference(resolution,[],[f2496,f293]) ).

fof(f4238,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(X0,X1)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | ~ r1(X4,sK23)
        | ~ r1(sK0,X0)
        | p1(sK2(sK3(sK23)))
        | ~ r1(X4,X5)
        | ~ p1(sK4(X5)) )
    | ~ spl61_18
    | ~ spl61_399 ),
    inference(forward_subsumption_resolution,[],[f3724,f68]) ).

fof(f4239,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(X0,X1)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | ~ r1(X4,sK23)
        | ~ r1(sK0,X0)
        | p1(sK2(sK3(sK23)))
        | ~ r1(X4,X5)
        | r1(X5,sK4(X5)) )
    | ~ spl61_18
    | ~ spl61_399 ),
    inference(forward_subsumption_resolution,[],[f3723,f68]) ).

fof(f4242,plain,
    ( spl61_383
    | spl61_384
    | ~ spl61_18
    | ~ spl61_399 ),
    inference(avatar_split_clause,[],[f4238,f2495,f259,f2350,f2346]) ).

fof(f4243,plain,
    ( spl61_383
    | spl61_386
    | ~ spl61_18
    | ~ spl61_399 ),
    inference(avatar_split_clause,[],[f4239,f2495,f259,f2358,f2346]) ).

fof(f4302,plain,
    ( ~ r1(sK22,sK22)
    | p1(sK4(sK22))
    | ~ spl61_473 ),
    inference(resolution,[],[f3517,f65]) ).

fof(f4355,plain,
    ( p1(sK4(sK22))
    | ~ spl61_473 ),
    inference(forward_subsumption_resolution,[],[f4302,f10]) ).

fof(f4357,plain,
    ( spl61_286
    | ~ spl61_473 ),
    inference(avatar_split_clause,[],[f4355,f3516,f1900]) ).

fof(f4360,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(sK0,X0)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | ~ r1(X4,X5)
        | r1(X5,sK3(X5))
        | ~ r1(X4,sK22)
        | ~ r1(X0,X1) )
    | ~ spl61_286 ),
    inference(resolution,[],[f1902,f95]) ).

fof(f4362,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ r1(sK18,X0)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | r1(X4,sK3(X4))
        | ~ r1(X3,sK22)
        | ~ r1(X0,X1) )
    | ~ spl61_286 ),
    inference(resolution,[],[f4360,f73]) ).

fof(f4432,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ r1(sK19,X0)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | r1(X3,sK3(X3))
        | ~ r1(X2,sK22)
        | ~ r1(X0,X1) )
    | ~ spl61_286 ),
    inference(resolution,[],[f4362,f72]) ).

fof(f4444,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1(sK20,X0)
        | ~ r1(X1,X2)
        | r1(X2,sK3(X2))
        | ~ r1(X1,sK22)
        | ~ r1(X0,X1) )
    | ~ spl61_286 ),
    inference(resolution,[],[f4432,f71]) ).

fof(f4455,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK21,X0)
        | r1(X1,sK3(X1))
        | ~ r1(X0,sK22)
        | ~ r1(X0,X1) )
    | ~ spl61_286 ),
    inference(resolution,[],[f4444,f70]) ).

fof(f4466,plain,
    ( ! [X0] :
        ( r1(X0,sK3(X0))
        | ~ r1(sK22,sK22)
        | ~ r1(sK22,X0) )
    | ~ spl61_286 ),
    inference(resolution,[],[f4455,f69]) ).

fof(f4477,plain,
    ( ! [X0] :
        ( r1(X0,sK3(X0))
        | ~ r1(sK22,X0) )
    | ~ spl61_286 ),
    inference(forward_subsumption_resolution,[],[f4466,f10]) ).

fof(f4478,plain,
    ( spl61_399
    | ~ spl61_286 ),
    inference(avatar_split_clause,[],[f4477,f1900,f2495]) ).

fof(f4598,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( ~ r1(X5,sK3(sK23))
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,X4)
        | ~ r1(X4,X5)
        | ~ r1(X0,X1)
        | ~ r1(sK0,X0)
        | ~ r1(X5,X6)
        | p1(X6) )
    | ~ spl61_383 ),
    inference(resolution,[],[f2348,f97]) ).

fof(f4599,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(X0,X1)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,sK23)
        | ~ r1(X4,X0)
        | ~ r1(sK0,X4)
        | ~ r1(sK23,X5)
        | p1(X5)
        | ~ r1(sK22,sK23) )
    | ~ spl61_383
    | ~ spl61_399 ),
    inference(resolution,[],[f4598,f2496]) ).

fof(f4609,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ r1(X0,X1)
        | ~ r1(X1,X2)
        | ~ r1(X2,X3)
        | ~ r1(X3,sK23)
        | ~ r1(X4,X0)
        | ~ r1(sK0,X4)
        | ~ r1(sK23,X5)
        | p1(X5) )
    | ~ spl61_383
    | ~ spl61_399 ),
    inference(forward_subsumption_resolution,[],[f4599,f68]) ).

fof(f4611,definition,
    ( spl61_592
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ r1(X0,X1)
        | ~ r1(sK0,X4)
        | ~ r1(X4,X0)
        | ~ r1(X3,sK23)
        | ~ r1(X2,X3)
        | ~ r1(X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl61_592])],[avatar_definition]) ).

fof(f4612,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ r1(sK0,X4)
        | ~ r1(X0,X1)
        | ~ r1(X4,X0)
        | ~ r1(X3,sK23)
        | ~ r1(X2,X3)
        | ~ r1(X1,X2) )
    | ~ spl61_592 ),
    inference(avatar_component_clause,[],[f4611]) ).

fof(f4613,plain,
    ( spl61_17
    | spl61_592
    | ~ spl61_383
    | ~ spl61_399 ),
    inference(avatar_split_clause,[],[f4609,f2495,f2346,f4611,f256]) ).

fof(f4615,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ r1(sK18,X0)
        | ~ r1(X0,X1)
        | ~ r1(X2,sK23)
        | ~ r1(X3,X2)
        | ~ r1(X1,X3) )
    | ~ spl61_592 ),
    inference(resolution,[],[f4612,f73]) ).

fof(f4630,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1(sK19,X0)
        | ~ r1(X1,sK23)
        | ~ r1(X2,X1)
        | ~ r1(X0,X2) )
    | ~ spl61_592 ),
    inference(resolution,[],[f4615,f72]) ).

fof(f4712,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK20,X1)
        | ~ r1(X1,X0)
        | ~ r1(X0,sK23) )
    | ~ spl61_592 ),
    inference(resolution,[],[f4630,f71]) ).

fof(f4745,plain,
    ( ! [X0] :
        ( ~ r1(sK21,X0)
        | ~ r1(X0,sK23) )
    | ~ spl61_592 ),
    inference(resolution,[],[f4712,f70]) ).

fof(f4811,plain,
    ( ~ r1(sK22,sK23)
    | ~ spl61_592 ),
    inference(resolution,[],[f4745,f69]) ).

fof(f4822,plain,
    ( $false
    | ~ spl61_592 ),
    inference(forward_subsumption_resolution,[],[f4811,f68]) ).

fof(f4823,plain,
    ~ spl61_592,
    inference(avatar_contradiction_clause,[],[f4822]) ).

fof(f4835,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ r1(sK18,X2)
        | ~ r1(X1,X0)
        | r1(X0,sK4(X0))
        | ~ r1(X1,sK23)
        | ~ r1(X3,X1)
        | ~ r1(X4,X3)
        | ~ r1(X2,X4) )
    | ~ spl61_386 ),
    inference(resolution,[],[f2359,f73]) ).

fof(f4905,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ r1(sK19,X3)
        | r1(X1,sK4(X1))
        | ~ r1(X0,sK23)
        | ~ r1(X2,X0)
        | ~ r1(X3,X2)
        | ~ r1(X0,X1) )
    | ~ spl61_386 ),
    inference(resolution,[],[f4835,f72]) ).

fof(f4917,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1(sK20,X2)
        | ~ r1(X1,sK23)
        | ~ r1(X2,X1)
        | r1(X0,sK4(X0))
        | ~ r1(X1,X0) )
    | ~ spl61_386 ),
    inference(resolution,[],[f4905,f71]) ).

fof(f4928,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK21,X0)
        | ~ r1(X0,sK23)
        | r1(X1,sK4(X1))
        | ~ r1(X0,X1) )
    | ~ spl61_386 ),
    inference(resolution,[],[f4917,f70]) ).

fof(f4939,plain,
    ( ! [X0] :
        ( ~ r1(sK22,sK23)
        | r1(X0,sK4(X0))
        | ~ r1(sK22,X0) )
    | ~ spl61_386 ),
    inference(resolution,[],[f4928,f69]) ).

fof(f4955,plain,
    ( ! [X0] :
        ( r1(X0,sK4(X0))
        | ~ r1(sK22,X0) )
    | ~ spl61_386 ),
    inference(forward_subsumption_resolution,[],[f4939,f68]) ).

fof(f4956,plain,
    ( spl61_473
    | ~ spl61_386 ),
    inference(avatar_split_clause,[],[f4955,f2358,f3516]) ).

fof(f5112,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ r1(sK0,X0)
        | ~ r1(X2,sK22)
        | ~ r1(X0,X1)
        | ~ r1(X2,sK23)
        | ~ r1(X3,X2)
        | ~ r1(X4,X3)
        | ~ r1(X1,X4) )
    | ~ spl61_286
    | ~ spl61_384 ),
    inference(resolution,[],[f1902,f2351]) ).

fof(f6198,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ r1(sK18,X1)
        | ~ r1(X0,sK22)
        | ~ r1(X0,sK23)
        | ~ r1(X2,X0)
        | ~ r1(X3,X2)
        | ~ r1(X1,X3) )
    | ~ spl61_286
    | ~ spl61_384 ),
    inference(resolution,[],[f5112,f73]) ).

fof(f6288,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1(sK19,X2)
        | ~ r1(X0,sK23)
        | ~ r1(X1,X0)
        | ~ r1(X2,X1)
        | ~ r1(X0,sK22) )
    | ~ spl61_286
    | ~ spl61_384 ),
    inference(resolution,[],[f6198,f72]) ).

fof(f6301,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK20,X1)
        | ~ r1(X1,X0)
        | ~ r1(X0,sK23)
        | ~ r1(X0,sK22) )
    | ~ spl61_286
    | ~ spl61_384 ),
    inference(resolution,[],[f6288,f71]) ).

fof(f6313,plain,
    ( ! [X0] :
        ( ~ r1(sK21,X0)
        | ~ r1(X0,sK23)
        | ~ r1(X0,sK22) )
    | ~ spl61_286
    | ~ spl61_384 ),
    inference(resolution,[],[f6301,f70]) ).

fof(f6411,plain,
    ( ~ r1(sK22,sK23)
    | ~ r1(sK22,sK22)
    | ~ spl61_286
    | ~ spl61_384 ),
    inference(resolution,[],[f6313,f69]) ).

fof(f6423,plain,
    ( ~ r1(sK22,sK22)
    | ~ spl61_286
    | ~ spl61_384 ),
    inference(forward_subsumption_resolution,[],[f6411,f68]) ).

fof(f6424,plain,
    ( $false
    | ~ spl61_286
    | ~ spl61_384 ),
    inference(forward_subsumption_resolution,[],[f6423,f10]) ).

fof(f6425,plain,
    ( ~ spl61_286
    | ~ spl61_384 ),
    inference(avatar_contradiction_clause,[],[f6424]) ).

cnf(s9,plain,
    ( spl61_17
    | spl61_18 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s11,plain,
    ~ spl61_17,
    inference(sat_conversion,[],[f275]) ).

cnf(s393,plain,
    ( spl61_399
    | spl61_473 ),
    inference(sat_conversion,[],[f3717]) ).

cnf(s495,plain,
    ( ~ spl61_18
    | spl61_383
    | spl61_384
    | ~ spl61_399 ),
    inference(sat_conversion,[],[f4242]) ).

cnf(s496,plain,
    ( ~ spl61_18
    | spl61_383
    | spl61_386
    | ~ spl61_399 ),
    inference(sat_conversion,[],[f4243]) ).

cnf(s498,plain,
    ( spl61_286
    | ~ spl61_473 ),
    inference(sat_conversion,[],[f4357]) ).

cnf(s502,plain,
    ( ~ spl61_286
    | spl61_399 ),
    inference(sat_conversion,[],[f4478]) ).

cnf(s504,plain,
    ( spl61_17
    | ~ spl61_383
    | ~ spl61_399
    | spl61_592 ),
    inference(sat_conversion,[],[f4613]) ).

cnf(s505,plain,
    ~ spl61_592,
    inference(sat_conversion,[],[f4823]) ).

cnf(s510,plain,
    ( ~ spl61_386
    | spl61_473 ),
    inference(sat_conversion,[],[f4956]) ).

cnf(s536,plain,
    ( ~ spl61_286
    | ~ spl61_384 ),
    inference(sat_conversion,[],[f6425]) ).

cnf(s537,plain,
    ( spl61_17
    | ~ spl61_383
    | ~ spl61_399 ),
    inference(rat,[],[s504,s505]) ).

cnf(s542,plain,
    spl61_18,
    inference(rat,[],[s9,s11]) ).

cnf(s543,plain,
    spl61_473,
    inference(rat,[],[s496,s537,s393,s510,s542,s11]) ).

cnf(s544,plain,
    spl61_286,
    inference(rat,[],[s498,s543]) ).

cnf(s545,plain,
    ~ spl61_384,
    inference(rat,[],[s536,s544]) ).

cnf(s547,plain,
    spl61_399,
    inference(rat,[],[s502,s544]) ).

cnf(s549,plain,
    ~ spl61_383,
    inference(rat,[],[s537,s11,s547]) ).

cnf(s551,plain,
    $false,
    inference(rat,[],[s495,s545,s542,s549,s547]) ).

fof(f6426,plain,
    $false,
    inference(avatar_sat_refutation,[],[s551]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LCL654+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32  % Computer : n012.cluster.edu
% 0.04/0.32  % Model    : x86_64 x86_64
% 0.04/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32  % Memory   : 8046.5625MB
% 0.04/0.32  % OS       : Linux 6.8.0-71-generic
% 0.04/0.32  % CPULimit : 300
% 0.04/0.32  % WCLimit  : 300
% 0.04/0.32  % DateTime : Sun Sep 27 16:18:05 UTC 2026
% 0.04/0.32  % CPUTime  : 
% 0.04/0.32  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34  Running first-order theorem proving
% 0.08/0.34  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.87/1.39  % (2562413)Detected formulas, will run a generic FOF schedule.
% 4.87/1.39  % (2562420)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=2700144141:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.87/1.39  % (2562419)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=3299043528:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.87/1.39  % (2562422)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=803323725:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.87/1.39  % (2562424)dis-21_1_sil=8000:lcm=predicate:random_seed=1878114410: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)
% 4.87/1.39  % (2562423)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=714420363:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.87/1.39  % (2562421)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3509373476:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.87/1.39  % (2562418)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=1509134912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.87/1.39  % (2562424)Instruction limit reached! 
% 4.87/1.39  % (2562424)------------------------------
% 4.87/1.39  % (2562424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562424)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562424)Termination reason: Instruction limit
% 4.87/1.39  % (2562424)Termination phase: Saturation
% 4.87/1.39  % (2562424)Time elapsed: 0.028 s
% 4.87/1.39  % (2562424)Peak memory usage: 88 MB
% 4.87/1.39  % (2562424)Instructions burned: 130 (million)
% 4.87/1.39  % (2562422)Instruction limit reached! 
% 4.87/1.39  % (2562422)------------------------------
% 4.87/1.39  % (2562422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562422)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562422)Termination reason: Instruction limit
% 4.87/1.39  % (2562422)Termination phase: Saturation
% 4.87/1.39  % (2562422)Time elapsed: 0.031 s
% 4.87/1.39  % (2562422)Peak memory usage: 88 MB
% 4.87/1.39  % (2562422)Instructions burned: 119 (million)
% 4.87/1.39  % (2562421)Instruction limit reached! 
% 4.87/1.39  % (2562421)------------------------------
% 4.87/1.39  % (2562421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562421)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562421)Termination reason: Instruction limit
% 4.87/1.39  % (2562421)Termination phase: Saturation
% 4.87/1.39  % (2562421)Time elapsed: 0.034 s
% 4.87/1.39  % (2562421)Peak memory usage: 94 MB
% 4.87/1.39  % (2562421)Instructions burned: 109 (million)
% 4.87/1.39  % (2562423)Instruction limit reached! 
% 4.87/1.39  % (2562423)------------------------------
% 4.87/1.39  % (2562423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562423)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562423)Termination reason: Instruction limit
% 4.87/1.39  % (2562423)Termination phase: Saturation
% 4.87/1.39  % (2562423)Time elapsed: 0.042 s
% 4.87/1.39  % (2562423)Peak memory usage: 89 MB
% 4.87/1.39  % (2562423)Instructions burned: 139 (million)
% 4.87/1.39  % (2562432)lrs+10_1_sil=8000:sp=occurrence:random_seed=2088810147:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.87/1.39  % (2562433)lrs+10_1_sil=32000:urr=on:br=off:random_seed=628614286:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.87/1.39  % (2562435)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=424282653:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.87/1.39  % (2562434)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3972532634:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.87/1.39  % (2562433)Instruction limit reached! 
% 4.87/1.39  % (2562433)------------------------------
% 4.87/1.39  % (2562433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562433)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562433)Termination reason: Instruction limit
% 4.87/1.39  % (2562433)Termination phase: Saturation
% 4.87/1.39  % (2562433)Time elapsed: 0.039 s
% 4.87/1.39  % (2562433)Peak memory usage: 88 MB
% 4.87/1.39  % (2562433)Instructions burned: 157 (million)
% 4.87/1.39  % (2562435)Instruction limit reached! 
% 4.87/1.39  % (2562435)------------------------------
% 4.87/1.39  % (2562435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562435)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562435)Termination reason: Instruction limit
% 4.87/1.39  % (2562435)Termination phase: Saturation
% 4.87/1.39  % (2562435)Time elapsed: 0.062 s
% 4.87/1.39  % (2562435)Peak memory usage: 88 MB
% 4.87/1.39  % (2562435)Instructions burned: 250 (million)
% 4.87/1.39  % (2562432)Instruction limit reached! 
% 4.87/1.39  % (2562432)------------------------------
% 4.87/1.39  % (2562432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562432)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562432)Termination reason: Instruction limit
% 4.87/1.39  % (2562432)Termination phase: Saturation
% 4.87/1.39  % (2562432)Time elapsed: 0.081 s
% 4.87/1.39  % (2562432)Peak memory usage: 90 MB
% 4.87/1.39  % (2562432)Instructions burned: 287 (million)
% 4.87/1.39  % (2562434)Instruction limit reached! 
% 4.87/1.39  % (2562434)------------------------------
% 4.87/1.39  % (2562434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562434)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562434)Termination reason: Instruction limit
% 4.87/1.39  % (2562434)Termination phase: Saturation
% 4.87/1.39  % (2562434)Time elapsed: 0.089 s
% 4.87/1.39  % (2562434)Peak memory usage: 90 MB
% 4.87/1.39  % (2562434)Instructions burned: 327 (million)
% 4.87/1.39  % (2562440)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4152743873:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.87/1.39  % (2562442)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3386888312:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.87/1.39  % (2562441)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3641364548:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.87/1.39  % (2562440)Instruction limit reached! 
% 4.87/1.39  % (2562440)------------------------------
% 4.87/1.39  % (2562440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562440)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562440)Termination reason: Instruction limit
% 4.87/1.39  % (2562440)Termination phase: Saturation
% 4.87/1.39  % (2562440)Time elapsed: 0.071 s
% 4.87/1.39  % (2562440)Peak memory usage: 88 MB
% 4.87/1.39  % (2562440)Instructions burned: 294 (million)
% 4.87/1.39  % (2562442)Instruction limit reached! 
% 4.87/1.39  % (2562442)------------------------------
% 4.87/1.39  % (2562442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562442)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562442)Termination reason: Instruction limit
% 4.87/1.39  % (2562442)Termination phase: Saturation
% 4.87/1.39  % (2562442)Time elapsed: 0.033 s
% 4.87/1.39  % (2562442)Peak memory usage: 90 MB
% 4.87/1.39  % (2562442)Instructions burned: 116 (million)
% 4.87/1.39  % (2562443)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1926462992:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 4.87/1.39  % (2562443)Instruction limit reached! 
% 4.87/1.39  % (2562443)------------------------------
% 4.87/1.39  % (2562443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562443)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562443)Termination reason: Instruction limit
% 4.87/1.39  % (2562443)Termination phase: Saturation
% 4.87/1.39  % (2562443)Time elapsed: 0.038 s
% 4.87/1.39  % (2562443)Peak memory usage: 89 MB
% 4.87/1.39  % (2562443)Instructions burned: 130 (million)
% 4.87/1.39  % (2562448)lrs+10_1_sil=8000:sp=occurrence:random_seed=4077501877:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 4.87/1.39  % (2562447)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=653053696:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 4.87/1.39  % (2562447)Instruction limit reached! 
% 4.87/1.39  % (2562447)------------------------------
% 4.87/1.39  % (2562447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562447)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562447)Termination reason: Instruction limit
% 4.87/1.39  % (2562447)Termination phase: Saturation
% 4.87/1.39  % (2562447)Time elapsed: 0.032 s
% 4.87/1.39  % (2562447)Peak memory usage: 89 MB
% 4.87/1.39  % (2562447)Instructions burned: 115 (million)
% 4.87/1.39  % (2562450)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3932875079:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 4.87/1.39  % (2562418)First to succeed.
% 4.87/1.39  % (2562418)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2562413"
% 4.87/1.39  % (2562450)Instruction limit reached! 
% 4.87/1.39  % (2562450)------------------------------
% 4.87/1.39  % (2562450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.39  % (2562450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.39  % (2562450)CaDiCaL version: 2.1.3
% 4.87/1.39  % (2562450)Termination reason: Instruction limit
% 4.87/1.39  % (2562450)Termination phase: Saturation
% 4.87/1.39  % (2562450)Time elapsed: 0.105 s
% 4.87/1.39  % (2562450)Peak memory usage: 91 MB
% 4.87/1.39  % (2562450)Instructions burned: 438 (million)
% 4.87/1.39  % (2562453)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3703784178:i=5202:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/5202Mi)
% 4.87/1.39  % (2562418)Refutation found. Thanks to Tanya!
% 4.87/1.39  % SZS status Theorem for theBenchmark
% 4.87/1.39  % SZS output start Proof for theBenchmark
% See solution above
% 6.15/1.49  % (2562418)------------------------------
% 6.15/1.49  % (2562418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.49  % (2562418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.49  % (2562418)CaDiCaL version: 2.1.3
% 6.15/1.49  % (2562418)Termination reason: Refutation
% 6.15/1.49  % (2562418)Time elapsed: 0.550 s
% 6.15/1.49  % (2562418)Peak memory usage: 132 MB
% 6.15/1.49  % (2562418)Instructions burned: 1460 (million)
% 6.15/1.49  % (2562418)------------------------------
% 6.15/1.49  % (2562418)------------------------------
% 6.15/1.49  % (2562413)Success in time 0.852 s
% 6.15/1.49  % Vampire exiting
%------------------------------------------------------------------------------