TSTP Solution File: LCL638+1.005 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL638+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UyY1CQsqV5 true

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 09:00:30 EDT 2023

% Result   : Theorem 254.40s 37.02s
% Output   : Refutation 255.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   90 (  38 unt;  11 typ;   0 def)
%            Number of atoms       :  664 (   0 equ;   0 cnn)
%            Maximal formula atoms :  220 (   8 avg)
%            Number of connectives : 2529 ( 710   ~; 545   |;  40   &;1234   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  461 (   0   ^; 459   !;   2   ?; 461   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(sk__5_type,type,
    sk__5: $i > $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__6_type,type,
    sk__6: $i > $i ).

thf(r1_type,type,
    r1: $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(p1_type,type,
    p1: $i > $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ! [Y: $i] :
                                ( ~ ( ~ ! [X: $i] :
                                          ( ~ ! [Y: $i] :
                                                ( ( p1 @ Y )
                                                | ~ ( r1 @ X @ Y ) )
                                          | ~ ( r1 @ Y @ X ) )
                                    & ~ ( p1 @ Y ) )
                                | ~ ( r1 @ X @ Y ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ! [Y: $i] :
                                ( ~ ( ~ ! [X: $i] :
                                          ( ~ ! [Y: $i] :
                                                ( ~ ( p1 @ Y )
                                                | ~ ( r1 @ X @ Y ) )
                                          | ~ ( r1 @ Y @ X ) )
                                    & ( p1 @ Y ) )
                                | ~ ( r1 @ X @ Y ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ! [Y: $i] :
                                ( ~ ( ~ ! [X: $i] :
                                          ( ! [Y: $i] :
                                              ( ~ ! [X: $i] :
                                                    ( ~ ( p1 @ X )
                                                    | ~ ( r1 @ Y @ X ) )
                                              | ~ ( r1 @ X @ Y ) )
                                          | ~ ( r1 @ Y @ X ) )
                                    & ! [X: $i] :
                                        ( ~ ! [Y: $i] :
                                              ( ~ ( p1 @ Y )
                                              | ~ ( r1 @ X @ Y ) )
                                        | ~ ( r1 @ Y @ X ) ) )
                                | ~ ( r1 @ X @ Y ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ! [Y: $i] :
                                ( ~ ( ~ ! [X: $i] :
                                          ( ! [Y: $i] :
                                              ( ( p1 @ Y )
                                              | ~ ( r1 @ X @ Y ) )
                                          | ~ ( r1 @ Y @ X ) )
                                    & ! [X: $i] :
                                        ( ( p1 @ X )
                                        | ~ ( r1 @ Y @ X ) ) )
                                | ~ ( r1 @ X @ Y ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ! [Y: $i] :
                                ( ~ ! [X: $i] :
                                      ~ ( r1 @ Y @ X )
                                | ~ ( r1 @ X @ Y ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ~ ( ~ ! [Y: $i] :
                                      ( ~ ! [X: $i] :
                                            ( ( p1 @ X )
                                            | ~ ( r1 @ Y @ X ) )
                                      | ~ ( r1 @ X @ Y ) )
                                & ~ ( p1 @ X ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ~ ( ~ ! [Y: $i] :
                                      ( ~ ! [X: $i] :
                                            ( ~ ( p1 @ X )
                                            | ~ ( r1 @ Y @ X ) )
                                      | ~ ( r1 @ X @ Y ) )
                                & ( p1 @ X ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ~ ( ~ ! [Y: $i] :
                                      ( ! [X: $i] :
                                          ( ~ ! [Y: $i] :
                                                ( ~ ( p1 @ Y )
                                                | ~ ( r1 @ X @ Y ) )
                                          | ~ ( r1 @ Y @ X ) )
                                      | ~ ( r1 @ X @ Y ) )
                                & ! [Y: $i] :
                                    ( ~ ! [X: $i] :
                                          ( ~ ( p1 @ X )
                                          | ~ ( r1 @ Y @ X ) )
                                    | ~ ( r1 @ X @ Y ) ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ~ ( ~ ! [Y: $i] :
                                      ( ! [X: $i] :
                                          ( ( p1 @ X )
                                          | ~ ( r1 @ Y @ X ) )
                                      | ~ ( r1 @ X @ Y ) )
                                & ! [Y: $i] :
                                    ( ( p1 @ Y )
                                    | ~ ( r1 @ X @ Y ) ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ~ ! [Y: $i] :
                                  ~ ( r1 @ X @ Y )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ~ ( ~ ! [X: $i] :
                                  ( ~ ! [Y: $i] :
                                        ( ( p1 @ Y )
                                        | ~ ( r1 @ X @ Y ) )
                                  | ~ ( r1 @ Y @ X ) )
                            & ~ ( p1 @ Y ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ~ ( ~ ! [X: $i] :
                                  ( ~ ! [Y: $i] :
                                        ( ~ ( p1 @ Y )
                                        | ~ ( r1 @ X @ Y ) )
                                  | ~ ( r1 @ Y @ X ) )
                            & ( p1 @ Y ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ~ ( ~ ! [X: $i] :
                                  ( ! [Y: $i] :
                                      ( ~ ! [X: $i] :
                                            ( ~ ( p1 @ X )
                                            | ~ ( r1 @ Y @ X ) )
                                      | ~ ( r1 @ X @ Y ) )
                                  | ~ ( r1 @ Y @ X ) )
                            & ! [X: $i] :
                                ( ~ ! [Y: $i] :
                                      ( ~ ( p1 @ Y )
                                      | ~ ( r1 @ X @ Y ) )
                                | ~ ( r1 @ Y @ X ) ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ~ ( ~ ! [X: $i] :
                                  ( ! [Y: $i] :
                                      ( ( p1 @ Y )
                                      | ~ ( r1 @ X @ Y ) )
                                  | ~ ( r1 @ Y @ X ) )
                            & ! [X: $i] :
                                ( ( p1 @ X )
                                | ~ ( r1 @ Y @ X ) ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ~ ! [X: $i] :
                              ~ ( r1 @ Y @ X )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ~ ( ~ ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ~ ( r1 @ X @ Y ) )
                        & ~ ( p1 @ X ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ~ ( ~ ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ~ ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ~ ( r1 @ X @ Y ) )
                        & ( p1 @ X ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ~ ( ~ ! [Y: $i] :
                              ( ! [X: $i] :
                                  ( ~ ! [Y: $i] :
                                        ( ~ ( p1 @ Y )
                                        | ~ ( r1 @ X @ Y ) )
                                  | ~ ( r1 @ Y @ X ) )
                              | ~ ( r1 @ X @ Y ) )
                        & ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ~ ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ~ ( r1 @ X @ Y ) ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ~ ( ~ ! [Y: $i] :
                              ( ! [X: $i] :
                                  ( ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                              | ~ ( r1 @ X @ Y ) )
                        & ! [Y: $i] :
                            ( ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ~ ! [Y: $i] :
                          ~ ( r1 @ X @ Y )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ~ ! [Y: $i] :
                                ( ( p1 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ~ ( p1 @ Y ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ~ ! [Y: $i] :
                                ( ~ ( p1 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ( p1 @ Y ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ~ ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ! [X: $i] :
                        ( ~ ! [Y: $i] :
                              ( ~ ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ! [X: $i] :
                        ( ( p1 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ! [X: $i] :
                      ~ ( r1 @ Y @ X )
                | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ( ~ ! [X: $i] :
                                        ( ~ ! [Y: $i] :
                                              ( ( p1 @ Y )
                                              | ~ ( r1 @ X @ Y ) )
                                        | ~ ( r1 @ Y @ X ) )
                                  & ~ ( p1 @ Y ) )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ( ~ ! [X: $i] :
                                        ( ~ ! [Y: $i] :
                                              ( ~ ( p1 @ Y )
                                              | ~ ( r1 @ X @ Y ) )
                                        | ~ ( r1 @ Y @ X ) )
                                  & ( p1 @ Y ) )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ( ~ ! [X: $i] :
                                        ( ! [Y: $i] :
                                            ( ~ ! [X: $i] :
                                                  ( ~ ( p1 @ X )
                                                  | ~ ( r1 @ Y @ X ) )
                                            | ~ ( r1 @ X @ Y ) )
                                        | ~ ( r1 @ Y @ X ) )
                                  & ! [X: $i] :
                                      ( ~ ! [Y: $i] :
                                            ( ~ ( p1 @ Y )
                                            | ~ ( r1 @ X @ Y ) )
                                      | ~ ( r1 @ Y @ X ) ) )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ( ~ ! [X: $i] :
                                        ( ! [Y: $i] :
                                            ( ( p1 @ Y )
                                            | ~ ( r1 @ X @ Y ) )
                                        | ~ ( r1 @ Y @ X ) )
                                  & ! [X: $i] :
                                      ( ( p1 @ X )
                                      | ~ ( r1 @ Y @ X ) ) )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ~ ( r1 @ Y @ X )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ~ ! [Y: $i] :
                                    ( ~ ! [X: $i] :
                                          ( ( p1 @ X )
                                          | ~ ( r1 @ Y @ X ) )
                                    | ~ ( r1 @ X @ Y ) )
                              & ~ ( p1 @ X ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ~ ! [Y: $i] :
                                    ( ~ ! [X: $i] :
                                          ( ~ ( p1 @ X )
                                          | ~ ( r1 @ Y @ X ) )
                                    | ~ ( r1 @ X @ Y ) )
                              & ( p1 @ X ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ~ ! [Y: $i] :
                                    ( ! [X: $i] :
                                        ( ~ ! [Y: $i] :
                                              ( ~ ( p1 @ Y )
                                              | ~ ( r1 @ X @ Y ) )
                                        | ~ ( r1 @ Y @ X ) )
                                    | ~ ( r1 @ X @ Y ) )
                              & ! [Y: $i] :
                                  ( ~ ! [X: $i] :
                                        ( ~ ( p1 @ X )
                                        | ~ ( r1 @ Y @ X ) )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ~ ! [Y: $i] :
                                    ( ! [X: $i] :
                                        ( ( p1 @ X )
                                        | ~ ( r1 @ Y @ X ) )
                                    | ~ ( r1 @ X @ Y ) )
                              & ! [Y: $i] :
                                  ( ( p1 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ! [Y: $i] :
                                ~ ( r1 @ X @ Y )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ~ ( ~ ! [X: $i] :
                                ( ~ ! [Y: $i] :
                                      ( ( p1 @ Y )
                                      | ~ ( r1 @ X @ Y ) )
                                | ~ ( r1 @ Y @ X ) )
                          & ~ ( p1 @ Y ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ~ ( ~ ! [X: $i] :
                                ( ~ ! [Y: $i] :
                                      ( ~ ( p1 @ Y )
                                      | ~ ( r1 @ X @ Y ) )
                                | ~ ( r1 @ Y @ X ) )
                          & ( p1 @ Y ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ~ ( ~ ! [X: $i] :
                                ( ! [Y: $i] :
                                    ( ~ ! [X: $i] :
                                          ( ~ ( p1 @ X )
                                          | ~ ( r1 @ Y @ X ) )
                                    | ~ ( r1 @ X @ Y ) )
                                | ~ ( r1 @ Y @ X ) )
                          & ! [X: $i] :
                              ( ~ ! [Y: $i] :
                                    ( ~ ( p1 @ Y )
                                    | ~ ( r1 @ X @ Y ) )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ~ ( ~ ! [X: $i] :
                                ( ! [Y: $i] :
                                    ( ( p1 @ Y )
                                    | ~ ( r1 @ X @ Y ) )
                                | ~ ( r1 @ Y @ X ) )
                          & ! [X: $i] :
                              ( ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ~ ! [X: $i] :
                            ~ ( r1 @ Y @ X )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ~ ( ~ ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ~ ( r1 @ X @ Y ) )
                      & ~ ( p1 @ X ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ~ ( ~ ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ~ ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ~ ( r1 @ X @ Y ) )
                      & ( p1 @ X ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ~ ( ~ ! [Y: $i] :
                            ( ! [X: $i] :
                                ( ~ ! [Y: $i] :
                                      ( ~ ( p1 @ Y )
                                      | ~ ( r1 @ X @ Y ) )
                                | ~ ( r1 @ Y @ X ) )
                            | ~ ( r1 @ X @ Y ) )
                      & ! [Y: $i] :
                          ( ~ ! [X: $i] :
                                ( ~ ( p1 @ X )
                                | ~ ( r1 @ Y @ X ) )
                          | ~ ( r1 @ X @ Y ) ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ~ ( ~ ! [Y: $i] :
                            ( ! [X: $i] :
                                ( ( p1 @ X )
                                | ~ ( r1 @ Y @ X ) )
                            | ~ ( r1 @ X @ Y ) )
                      & ! [Y: $i] :
                          ( ( p1 @ Y )
                          | ~ ( r1 @ X @ Y ) ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ~ ! [Y: $i] :
                        ~ ( r1 @ X @ Y )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ~ ! [Y: $i] :
                              ( ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ~ ( p1 @ Y ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ~ ! [Y: $i] :
                              ( ~ ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ( p1 @ Y ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ~ ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ! [X: $i] :
                      ( ~ ! [Y: $i] :
                            ( ~ ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                      | ~ ( r1 @ Y @ X ) ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ! [X: $i] :
                      ( ( p1 @ X )
                      | ~ ( r1 @ Y @ X ) ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ! [X: $i] :
                    ~ ( r1 @ Y @ X )
              | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl76,plain,
    r1 @ sk__10 @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73,plain,
    r1 @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    r1 @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72,plain,
    r1 @ sk__7 @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79,plain,
    ! [X83: $i,X84: $i,X85: $i,X86: $i,X87: $i] :
      ( ~ ( r1 @ X83 @ X84 )
      | ~ ( r1 @ X85 @ X86 )
      | ( r1 @ X87 @ ( sk__6 @ X87 ) )
      | ~ ( r1 @ X86 @ X87 )
      | ~ ( r1 @ X84 @ X85 )
      | ~ ( r1 @ sk_ @ X83 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ( r1 @ X2 @ ( sk__6 @ X2 ) )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk__7 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl79]) ).

thf(zip_derived_cl6079,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( r1 @ X2 @ ( sk__6 @ X2 ) )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk__8 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl1190]) ).

thf(zip_derived_cl6095,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( r1 @ X0 @ ( sk__6 @ X0 ) )
      | ~ ( r1 @ sk__9 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl6079]) ).

thf(zip_derived_cl6105,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__6 @ X0 ) )
      | ~ ( r1 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl6095]) ).

thf(zip_derived_cl6109,plain,
    r1 @ sk__11 @ ( sk__6 @ sk__11 ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl6105]) ).

thf(zip_derived_cl76_001,plain,
    r1 @ sk__10 @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_002,plain,
    r1 @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77_003,plain,
    r1 @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72_004,plain,
    r1 @ sk__7 @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78_005,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    ! [X109: $i,X110: $i,X111: $i,X112: $i,X113: $i,X114: $i] :
      ( ~ ( r1 @ X109 @ X110 )
      | ~ ( r1 @ X111 @ X112 )
      | ( p1 @ X113 )
      | ~ ( r1 @ X113 @ X114 )
      | ( r1 @ X114 @ ( sk__1 @ X114 ) )
      | ~ ( r1 @ X112 @ X113 )
      | ~ ( r1 @ X110 @ X111 )
      | ~ ( r1 @ sk_ @ X109 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1495,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ( r1 @ X4 @ ( sk__1 @ X4 ) )
      | ~ ( r1 @ X2 @ X4 )
      | ( p1 @ X2 )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk__7 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl89]) ).

thf(zip_derived_cl20004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( p1 @ X2 )
      | ~ ( r1 @ X2 @ X3 )
      | ( r1 @ X3 @ ( sk__1 @ X3 ) )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk__8 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl1495]) ).

thf(zip_derived_cl38746,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( r1 @ X2 @ ( sk__1 @ X2 ) )
      | ~ ( r1 @ X0 @ X2 )
      | ( p1 @ X0 )
      | ~ ( r1 @ sk__9 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl20004]) ).

thf(zip_derived_cl38825,plain,
    ! [X0: $i,X1: $i] :
      ( ( p1 @ X0 )
      | ~ ( r1 @ X0 @ X1 )
      | ( r1 @ X1 @ ( sk__1 @ X1 ) )
      | ~ ( r1 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl38746]) ).

thf(zip_derived_cl38834,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__11 @ X0 )
      | ( p1 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl38825]) ).

thf(zip_derived_cl75,plain,
    ~ ( p1 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38840,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__11 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl38834,zip_derived_cl75]) ).

thf(zip_derived_cl38841,plain,
    r1 @ ( sk__6 @ sk__11 ) @ ( sk__1 @ ( sk__6 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6109,zip_derived_cl38840]) ).

thf(zip_derived_cl6109_006,plain,
    r1 @ sk__11 @ ( sk__6 @ sk__11 ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl6105]) ).

thf(zip_derived_cl76_007,plain,
    r1 @ sk__10 @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_008,plain,
    r1 @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77_009,plain,
    r1 @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72_010,plain,
    r1 @ sk__7 @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78_011,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80,plain,
    ! [X88: $i,X89: $i,X90: $i,X91: $i,X92: $i,X93: $i,X94: $i] :
      ( ~ ( r1 @ X88 @ X89 )
      | ~ ( r1 @ X90 @ X91 )
      | ~ ( p1 @ ( sk__5 @ X92 ) )
      | ~ ( r1 @ X92 @ X93 )
      | ( p1 @ X94 )
      | ~ ( r1 @ X93 @ X94 )
      | ~ ( r1 @ X91 @ X92 )
      | ~ ( r1 @ X89 @ X90 )
      | ~ ( r1 @ sk_ @ X88 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ~ ( r1 @ X5 @ X4 )
      | ( p1 @ X4 )
      | ~ ( r1 @ X2 @ X5 )
      | ~ ( p1 @ ( sk__5 @ X2 ) )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk__7 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl80]) ).

thf(zip_derived_cl14950,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( p1 @ ( sk__5 @ X2 ) )
      | ~ ( r1 @ X2 @ X3 )
      | ( p1 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk__8 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl1222]) ).

thf(zip_derived_cl18628,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ( p1 @ X2 )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( p1 @ ( sk__5 @ X0 ) )
      | ~ ( r1 @ sk__9 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl14950]) ).

thf(zip_derived_cl18642,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p1 @ ( sk__5 @ X0 ) )
      | ~ ( r1 @ X0 @ X1 )
      | ( p1 @ X2 )
      | ~ ( r1 @ X1 @ X2 )
      | ~ ( r1 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl18628]) ).

thf(zip_derived_cl18650,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( p1 @ X0 )
      | ~ ( r1 @ sk__11 @ X1 )
      | ~ ( p1 @ ( sk__5 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl18642]) ).

thf(zip_derived_cl38841_012,plain,
    r1 @ ( sk__6 @ sk__11 ) @ ( sk__1 @ ( sk__6 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6109,zip_derived_cl38840]) ).

thf(zip_derived_cl6109_013,plain,
    r1 @ sk__11 @ ( sk__6 @ sk__11 ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl6105]) ).

thf(zip_derived_cl76_014,plain,
    r1 @ sk__10 @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_015,plain,
    r1 @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77_016,plain,
    r1 @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72_017,plain,
    r1 @ sk__7 @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78_018,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    ! [X88: $i,X89: $i,X90: $i,X91: $i,X92: $i,X93: $i,X94: $i] :
      ( ~ ( r1 @ X88 @ X89 )
      | ~ ( r1 @ X90 @ X91 )
      | ( r1 @ X92 @ ( sk__5 @ X92 ) )
      | ~ ( r1 @ X92 @ X93 )
      | ( p1 @ X94 )
      | ~ ( r1 @ X93 @ X94 )
      | ~ ( r1 @ X91 @ X92 )
      | ~ ( r1 @ X89 @ X90 )
      | ~ ( r1 @ sk_ @ X88 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ~ ( r1 @ X5 @ X4 )
      | ( p1 @ X4 )
      | ~ ( r1 @ X2 @ X5 )
      | ( r1 @ X2 @ ( sk__5 @ X2 ) )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk__7 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl81]) ).

thf(zip_derived_cl15411,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( r1 @ X2 @ ( sk__5 @ X2 ) )
      | ~ ( r1 @ X2 @ X3 )
      | ( p1 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk__8 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl1242]) ).

thf(zip_derived_cl80565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ( p1 @ X2 )
      | ~ ( r1 @ X0 @ X3 )
      | ( r1 @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( r1 @ sk__9 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl15411]) ).

thf(zip_derived_cl80680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( r1 @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( r1 @ X0 @ X1 )
      | ( p1 @ X2 )
      | ~ ( r1 @ X1 @ X2 )
      | ~ ( r1 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl80565]) ).

thf(zip_derived_cl80752,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( p1 @ X0 )
      | ~ ( r1 @ sk__11 @ X1 )
      | ( r1 @ sk__11 @ ( sk__5 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl80680]) ).

thf(zip_derived_cl80768,plain,
    ! [X0: $i] :
      ( ( r1 @ sk__11 @ ( sk__5 @ sk__11 ) )
      | ( p1 @ X0 )
      | ~ ( r1 @ ( sk__6 @ sk__11 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6109,zip_derived_cl80752]) ).

thf(zip_derived_cl80772,plain,
    ( ( p1 @ ( sk__1 @ ( sk__6 @ sk__11 ) ) )
    | ( r1 @ sk__11 @ ( sk__5 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38841,zip_derived_cl80768]) ).

thf(zip_derived_cl74,plain,
    ! [X82: $i] :
      ( ( p1 @ X82 )
      | ~ ( r1 @ sk__11 @ X82 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80774,plain,
    ( ( p1 @ ( sk__1 @ ( sk__6 @ sk__11 ) ) )
    | ( p1 @ ( sk__5 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl80772,zip_derived_cl74]) ).

thf(zip_derived_cl76_019,plain,
    r1 @ sk__10 @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_020,plain,
    r1 @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77_021,plain,
    r1 @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72_022,plain,
    r1 @ sk__7 @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78_023,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    ! [X109: $i,X110: $i,X111: $i,X112: $i,X113: $i,X114: $i] :
      ( ~ ( r1 @ X109 @ X110 )
      | ~ ( r1 @ X111 @ X112 )
      | ( p1 @ X113 )
      | ~ ( r1 @ X113 @ X114 )
      | ~ ( p1 @ ( sk__1 @ X114 ) )
      | ~ ( r1 @ X112 @ X113 )
      | ~ ( r1 @ X110 @ X111 )
      | ~ ( r1 @ sk_ @ X109 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ~ ( p1 @ ( sk__1 @ X4 ) )
      | ~ ( r1 @ X2 @ X4 )
      | ( p1 @ X2 )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk__7 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl88]) ).

thf(zip_derived_cl12186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( p1 @ X2 )
      | ~ ( r1 @ X2 @ X3 )
      | ~ ( p1 @ ( sk__1 @ X3 ) )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk__8 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl1457]) ).

thf(zip_derived_cl12243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( p1 @ ( sk__1 @ X2 ) )
      | ~ ( r1 @ X0 @ X2 )
      | ( p1 @ X0 )
      | ~ ( r1 @ sk__9 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl12186]) ).

thf(zip_derived_cl12257,plain,
    ! [X0: $i,X1: $i] :
      ( ( p1 @ X0 )
      | ~ ( r1 @ X0 @ X1 )
      | ~ ( p1 @ ( sk__1 @ X1 ) )
      | ~ ( r1 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl12243]) ).

thf(zip_derived_cl12264,plain,
    ! [X0: $i] :
      ( ~ ( p1 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__11 @ X0 )
      | ( p1 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl12257]) ).

thf(zip_derived_cl75_024,plain,
    ~ ( p1 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12268,plain,
    ! [X0: $i] :
      ( ~ ( p1 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__11 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12264,zip_derived_cl75]) ).

thf(zip_derived_cl80778,plain,
    ( ( p1 @ ( sk__5 @ sk__11 ) )
    | ~ ( r1 @ sk__11 @ ( sk__6 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl80774,zip_derived_cl12268]) ).

thf(zip_derived_cl6109_025,plain,
    r1 @ sk__11 @ ( sk__6 @ sk__11 ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl6105]) ).

thf(zip_derived_cl80783,plain,
    p1 @ ( sk__5 @ sk__11 ),
    inference(demod,[status(thm)],[zip_derived_cl80778,zip_derived_cl6109]) ).

thf(zip_derived_cl80784,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( p1 @ X0 )
      | ~ ( r1 @ sk__11 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18650,zip_derived_cl80783]) ).

thf(zip_derived_cl80811,plain,
    ! [X0: $i] :
      ( ( p1 @ X0 )
      | ~ ( r1 @ ( sk__6 @ sk__11 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6109,zip_derived_cl80784]) ).

thf(zip_derived_cl80816,plain,
    p1 @ ( sk__1 @ ( sk__6 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38841,zip_derived_cl80811]) ).

thf(zip_derived_cl12268_026,plain,
    ! [X0: $i] :
      ( ~ ( p1 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__11 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12264,zip_derived_cl75]) ).

thf(zip_derived_cl80818,plain,
    ~ ( r1 @ sk__11 @ ( sk__6 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl80816,zip_derived_cl12268]) ).

thf(zip_derived_cl6109_027,plain,
    r1 @ sk__11 @ ( sk__6 @ sk__11 ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl6105]) ).

thf(zip_derived_cl80823,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl80818,zip_derived_cl6109]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL638+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UyY1CQsqV5 true
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 18:20:06 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 254.40/37.02  % Solved by fo/fo5.sh.
% 254.40/37.02  % done 18501 iterations in 36.238s
% 254.40/37.02  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 254.40/37.02  % SZS output start Refutation
% See solution above
% 255.06/37.03  
% 255.06/37.03  
% 255.06/37.03  % Terminating...
% 255.48/37.14  % Runner terminated.
% 255.48/37.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------