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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oMVvrfqGTw true

% Computer : n014.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 : Mon Sep  7 01:36:42 PM UTC 2026

% Result   : Theorem 14.34s 2.69s
% Output   : Refutation 14.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :  453 (   0 equ;   0 cnn)
%            Maximal formula atoms :  225 (  90 avg)
%            Number of connectives : 1324 ( 266   ~; 304   |; 144   &; 610   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (  13 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :  160 (   0   ^; 158   !;   2   ?; 160   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__30_type,type,
    sk__30: $i ).

thf(p4_type,type,
    p4: $i > $o ).

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

thf(p3_type,type,
    p3: $i > $o ).

thf(p5_type,type,
    p5: $i > $o ).

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

thf(p6_type,type,
    p6: $i > $o ).

thf(p2_type,type,
    p2: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ( ! [Y: $i] :
                  ( ( p5 @ Y )
                  | ~ ( ( p6 @ Y )
                      & ! [X: $i] :
                          ( ( p6 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p5 @ Y )
                      & ! [X: $i] :
                          ( ( p5 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p5 @ Y ) )
                  | ( p6 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p5 @ Y )
                          & ! [X: $i] :
                              ( ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p5 @ Y ) )
                      | ( p6 @ Y )
                      | ! [X: $i] :
                          ( ( p5 @ X )
                          | ~ ( ( p6 @ X )
                              & ! [Y: $i] :
                                  ( ( p6 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p5 @ X )
                              & ! [Y: $i] :
                                  ( ( p5 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p5 @ X ) )
                          | ( p6 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p5 @ Y )
                      | ~ ( ( p6 @ Y )
                          & ! [X: $i] :
                              ( ( p6 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p5 @ Y )
                          & ! [X: $i] :
                              ( ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p5 @ Y ) )
                      | ( p6 @ Y )
                      | ( p5 @ Y )
                      | ~ ( ( p6 @ Y )
                          & ! [X: $i] :
                              ( ( p6 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p4 @ Y )
                  | ~ ( ( p5 @ Y )
                      & ! [X: $i] :
                          ( ( p5 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p4 @ Y )
                      & ! [X: $i] :
                          ( ( p4 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p4 @ Y ) )
                  | ( p5 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p4 @ Y )
                          & ! [X: $i] :
                              ( ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p4 @ Y ) )
                      | ( p5 @ Y )
                      | ! [X: $i] :
                          ( ( p4 @ X )
                          | ~ ( ( p5 @ X )
                              & ! [Y: $i] :
                                  ( ( p5 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p4 @ X )
                              & ! [Y: $i] :
                                  ( ( p4 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p4 @ X ) )
                          | ( p5 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p4 @ Y )
                      | ~ ( ( p5 @ Y )
                          & ! [X: $i] :
                              ( ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p4 @ Y )
                          & ! [X: $i] :
                              ( ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p4 @ Y ) )
                      | ( p5 @ Y )
                      | ( p4 @ Y )
                      | ~ ( ( p5 @ Y )
                          & ! [X: $i] :
                              ( ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p3 @ Y )
                  | ~ ( ( p4 @ Y )
                      & ! [X: $i] :
                          ( ( p4 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p3 @ Y )
                      & ! [X: $i] :
                          ( ( p3 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p3 @ Y ) )
                  | ( p4 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p3 @ Y )
                          & ! [X: $i] :
                              ( ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p3 @ Y ) )
                      | ( p4 @ Y )
                      | ! [X: $i] :
                          ( ( p3 @ X )
                          | ~ ( ( p4 @ X )
                              & ! [Y: $i] :
                                  ( ( p4 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p3 @ X )
                              & ! [Y: $i] :
                                  ( ( p3 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p3 @ X ) )
                          | ( p4 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p3 @ Y )
                      | ~ ( ( p4 @ Y )
                          & ! [X: $i] :
                              ( ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p3 @ Y )
                          & ! [X: $i] :
                              ( ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p3 @ Y ) )
                      | ( p4 @ Y )
                      | ( p3 @ Y )
                      | ~ ( ( p4 @ Y )
                          & ! [X: $i] :
                              ( ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p2 @ Y )
                  | ~ ( ( p3 @ Y )
                      & ! [X: $i] :
                          ( ( p3 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p2 @ Y )
                      & ! [X: $i] :
                          ( ( p2 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p2 @ Y ) )
                  | ( p3 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p2 @ Y )
                          & ! [X: $i] :
                              ( ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p2 @ Y ) )
                      | ( p3 @ Y )
                      | ! [X: $i] :
                          ( ( p2 @ X )
                          | ~ ( ( p3 @ X )
                              & ! [Y: $i] :
                                  ( ( p3 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p2 @ X )
                              & ! [Y: $i] :
                                  ( ( p2 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p2 @ X ) )
                          | ( p3 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p2 @ Y )
                      | ~ ( ( p3 @ Y )
                          & ! [X: $i] :
                              ( ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p2 @ Y )
                          & ! [X: $i] :
                              ( ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p2 @ Y ) )
                      | ( p3 @ Y )
                      | ( p2 @ Y )
                      | ~ ( ( p3 @ Y )
                          & ! [X: $i] :
                              ( ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ! [Y: $i] :
              ( ~ ( ! [X: $i] :
                      ( ( p5 @ X )
                      | ~ ( r1 @ Y @ X ) )
                  & ( p5 @ Y ) )
              | ( p5 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ~ ( ! [X: $i] :
                      ( ( p5 @ X )
                      | ~ ( r1 @ Y @ X ) )
                  & ( p5 @ Y ) )
              | ( p5 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ~ ( ! [Y: $i] :
                  ( ( p1 @ Y )
                  | ~ ( ( p2 @ Y )
                      & ! [X: $i] :
                          ( ( p2 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p1 @ Y )
                      & ! [X: $i] :
                          ( ( p1 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p1 @ Y ) )
                  | ( p2 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p1 @ Y )
                          & ! [X: $i] :
                              ( ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p1 @ Y ) )
                      | ( p2 @ Y )
                      | ! [X: $i] :
                          ( ( p1 @ X )
                          | ~ ( ( p2 @ X )
                              & ! [Y: $i] :
                                  ( ( p2 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p1 @ X )
                              & ! [Y: $i] :
                                  ( ( p1 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p1 @ X ) )
                          | ( p2 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p1 @ Y )
                      | ~ ( ( p2 @ Y )
                          & ! [X: $i] :
                              ( ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p1 @ Y )
                          & ! [X: $i] :
                              ( ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p1 @ Y ) )
                      | ( p2 @ Y )
                      | ( p1 @ Y )
                      | ~ ( ( p2 @ Y )
                          & ! [X: $i] :
                              ( ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ( ! [Y: $i] :
                ( ( p5 @ Y )
                | ~ ( ( p6 @ Y )
                    & ! [X: $i] :
                        ( ( p6 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p5 @ Y )
                    & ! [X: $i] :
                        ( ( p5 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p5 @ Y ) )
                | ( p6 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p5 @ Y )
                        & ! [X: $i] :
                            ( ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p5 @ Y ) )
                    | ( p6 @ Y )
                    | ! [X: $i] :
                        ( ( p5 @ X )
                        | ~ ( ( p6 @ X )
                            & ! [Y: $i] :
                                ( ( p6 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p5 @ X )
                            & ! [Y: $i] :
                                ( ( p5 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p5 @ X ) )
                        | ( p6 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p5 @ Y )
                    | ~ ( ( p6 @ Y )
                        & ! [X: $i] :
                            ( ( p6 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p5 @ Y )
                        & ! [X: $i] :
                            ( ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p5 @ Y ) )
                    | ( p6 @ Y )
                    | ( p5 @ Y )
                    | ~ ( ( p6 @ Y )
                        & ! [X: $i] :
                            ( ( p6 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p4 @ Y )
                | ~ ( ( p5 @ Y )
                    & ! [X: $i] :
                        ( ( p5 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p4 @ Y )
                    & ! [X: $i] :
                        ( ( p4 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p4 @ Y ) )
                | ( p5 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p4 @ Y )
                        & ! [X: $i] :
                            ( ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p4 @ Y ) )
                    | ( p5 @ Y )
                    | ! [X: $i] :
                        ( ( p4 @ X )
                        | ~ ( ( p5 @ X )
                            & ! [Y: $i] :
                                ( ( p5 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p4 @ X )
                            & ! [Y: $i] :
                                ( ( p4 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p4 @ X ) )
                        | ( p5 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p4 @ Y )
                    | ~ ( ( p5 @ Y )
                        & ! [X: $i] :
                            ( ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p4 @ Y )
                        & ! [X: $i] :
                            ( ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p4 @ Y ) )
                    | ( p5 @ Y )
                    | ( p4 @ Y )
                    | ~ ( ( p5 @ Y )
                        & ! [X: $i] :
                            ( ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p3 @ Y )
                | ~ ( ( p4 @ Y )
                    & ! [X: $i] :
                        ( ( p4 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p3 @ Y )
                    & ! [X: $i] :
                        ( ( p3 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p3 @ Y ) )
                | ( p4 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p3 @ Y )
                        & ! [X: $i] :
                            ( ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p3 @ Y ) )
                    | ( p4 @ Y )
                    | ! [X: $i] :
                        ( ( p3 @ X )
                        | ~ ( ( p4 @ X )
                            & ! [Y: $i] :
                                ( ( p4 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p3 @ X )
                            & ! [Y: $i] :
                                ( ( p3 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p3 @ X ) )
                        | ( p4 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p3 @ Y )
                    | ~ ( ( p4 @ Y )
                        & ! [X: $i] :
                            ( ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p3 @ Y )
                        & ! [X: $i] :
                            ( ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p3 @ Y ) )
                    | ( p4 @ Y )
                    | ( p3 @ Y )
                    | ~ ( ( p4 @ Y )
                        & ! [X: $i] :
                            ( ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p2 @ Y )
                | ~ ( ( p3 @ Y )
                    & ! [X: $i] :
                        ( ( p3 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p2 @ Y )
                    & ! [X: $i] :
                        ( ( p2 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p2 @ Y ) )
                | ( p3 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p2 @ Y )
                        & ! [X: $i] :
                            ( ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p2 @ Y ) )
                    | ( p3 @ Y )
                    | ! [X: $i] :
                        ( ( p2 @ X )
                        | ~ ( ( p3 @ X )
                            & ! [Y: $i] :
                                ( ( p3 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p2 @ X )
                            & ! [Y: $i] :
                                ( ( p2 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p2 @ X ) )
                        | ( p3 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p2 @ Y )
                    | ~ ( ( p3 @ Y )
                        & ! [X: $i] :
                            ( ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p2 @ Y )
                        & ! [X: $i] :
                            ( ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p2 @ Y ) )
                    | ( p3 @ Y )
                    | ( p2 @ Y )
                    | ~ ( ( p3 @ Y )
                        & ! [X: $i] :
                            ( ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ! [Y: $i] :
            ( ~ ( ! [X: $i] :
                    ( ( p5 @ X )
                    | ~ ( r1 @ Y @ X ) )
                & ( p5 @ Y ) )
            | ( p5 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ~ ( ! [X: $i] :
                    ( ( p5 @ X )
                    | ~ ( r1 @ Y @ X ) )
                & ( p5 @ Y ) )
            | ( p5 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ~ ( ! [Y: $i] :
                ( ( p1 @ Y )
                | ~ ( ( p2 @ Y )
                    & ! [X: $i] :
                        ( ( p2 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p1 @ Y )
                    & ! [X: $i] :
                        ( ( p1 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p1 @ Y ) )
                | ( p2 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p1 @ Y )
                        & ! [X: $i] :
                            ( ( p1 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p1 @ Y ) )
                    | ( p2 @ Y )
                    | ! [X: $i] :
                        ( ( p1 @ X )
                        | ~ ( ( p2 @ X )
                            & ! [Y: $i] :
                                ( ( p2 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p1 @ X )
                            & ! [Y: $i] :
                                ( ( p1 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p1 @ X ) )
                        | ( p2 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p1 @ Y )
                    | ~ ( ( p2 @ Y )
                        & ! [X: $i] :
                            ( ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p1 @ Y )
                        & ! [X: $i] :
                            ( ( p1 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p1 @ Y ) )
                    | ( p2 @ Y )
                    | ( p1 @ Y )
                    | ~ ( ( p2 @ Y )
                        & ! [X: $i] :
                            ( ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl2594,plain,
    ~ ( p5 @ sk__30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2592,plain,
    p5 @ sk__30,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12968,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2594,zip_derived_cl2592]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oMVvrfqGTw true
% 0.09/0.35  % Computer : n014.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep  5 07:08:27 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  % Running portfolio for 300 s
% 0.09/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.12.3
% 0.13/0.36  % Running in FO mode
% 0.39/0.58  % Total configuration time : 435
% 0.39/0.58  % Estimated wc time : 1092
% 0.39/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.65  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.41/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.41/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.41/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 14.34/2.69  % Solved by fo/fo6_bce.sh.
% 14.34/2.69  % BCE start: 12968
% 14.34/2.69  % BCE eliminated: 0
% 14.34/2.69  % PE start: 12968
% 14.34/2.69  logic: neq
% 14.34/2.69  % PE eliminated: 0
% 14.34/2.69  % done 2 iterations in 2.014s
% 14.34/2.69  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.34/2.69  % SZS output start Refutation
% See solution above
% 14.34/2.69  
% 14.34/2.69  
% 14.34/2.69  % Terminating...
% 4.62/2.72  % Runner terminated.
% 4.62/2.75  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------