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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU483^1 : TPTP v9.2.0. Bugfixed v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SUYNBV9dfo 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 Oct  2 04:54:46 PM UTC 2025

% Result   : Theorem 240.68s 31.01s
% Output   : Refutation 240.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   47 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  337 (   6 equ;  59 cnn)
%            Maximal formula atoms :   31 (   7 avg)
%            Number of connectives :  898 (  75   ~;   2   |;  57   &; 543   @)
%                                         (   0 <=>; 102  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   5 usr;   7 con; 0-2 aty)
%                                         (  67  !!;  52  ??;   0 @@+;   0 @@-)
%            Number of variables   :  181 ( 131   ^;  34   !;  16   ?; 181   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1_type',type,
    '#sk1': $i > $i > $o ).

thf(symm_type,type,
    symm: ( $i > $i > $o ) > $o ).

thf('#sk54_type',type,
    '#sk54': $i ).

thf(term_type,type,
    term: ( $i > $i > $o ) > $o ).

thf('#sk11_type',type,
    '#sk11': $i ).

thf(terminating,axiom,
    ( term
    = ( ^ [R: $i > $i > $o] :
        ! [A: $i > $o] :
          ( ? [X: $i] : ( A @ X )
         => ? [X: $i] :
              ( ! [Y: $i] :
                  ( ( A @ Y )
                 => ~ ( R @ X @ Y ) )
              & ( A @ X ) ) ) ) ) ).

thf('0',plain,
    ( term
    = ( ^ [R: $i > $i > $o] :
        ! [A: $i > $o] :
          ( ? [X: $i] : ( A @ X )
         => ? [X: $i] :
              ( ! [Y: $i] :
                  ( ( A @ Y )
                 => ~ ( R @ X @ Y ) )
              & ( A @ X ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[terminating]) ).

thf('1',plain,
    ( term
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i > $o] :
          ( ? [X6: $i] : ( X4 @ X6 )
         => ? [X8: $i] :
              ( ! [X10: $i] :
                  ( ( X4 @ X10 )
                 => ~ ( V_1 @ X8 @ X10 ) )
              & ( X4 @ X8 ) ) ) ) ),
    define([status(thm)]) ).

thf(symmetric,axiom,
    ( symm
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R @ X @ Y )
         => ( R @ Y @ X ) ) ) ) ).

thf('2',plain,
    ( symm
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R @ X @ Y )
         => ( R @ Y @ X ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[symmetric]) ).

thf('3',plain,
    ( symm
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i] :
          ( ( V_1 @ X4 @ X6 )
         => ( V_1 @ X6 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(symmetric_implies_non_terminating,conjecture,
    ! [R: $i > $i > $o] :
      ( ? [X: $i,Y: $i] : ( R @ X @ Y )
     => ( ( symm @ R )
       => ~ ( term @ R ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o] :
      ( ? [X6: $i,X8: $i] : ( X4 @ X6 @ X8 )
     => ( ! [X10: $i,X12: $i] :
            ( ( X4 @ X10 @ X12 )
           => ( X4 @ X12 @ X10 ) )
       => ~ ! [X14: $i > $o] :
              ( ? [X16: $i] : ( X14 @ X16 )
             => ? [X18: $i] :
                  ( ( X14 @ X18 )
                  & ! [X20: $i] :
                      ( ( X14 @ X20 )
                     => ~ ( X4 @ X18 @ X20 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o] :
        ( ? [X6: $i,X8: $i] : ( X4 @ X6 @ X8 )
       => ( ! [X10: $i,X12: $i] :
              ( ( X4 @ X10 @ X12 )
             => ( X4 @ X12 @ X10 ) )
         => ~ ! [X14: $i > $o] :
                ( ? [X16: $i] : ( X14 @ X16 )
               => ? [X18: $i] :
                    ( ( X14 @ X18 )
                    & ! [X20: $i] :
                        ( ( X14 @ X20 )
                       => ~ ( X4 @ X18 @ X20 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i > $i > $o] :
          ( ( ??
            @ ^ [Y1: $i] :
                ( ??
                @ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
         => ( ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y1 @ Y2 )
                     => ( Y0 @ Y2 @ Y1 ) ) ) )
           => ( (~)
              @ ( !!
                @ ^ [Y1: $i > $o] :
                    ( ( ??
                      @ ^ [Y2: $i] : ( Y1 @ Y2 ) )
                   => ( ??
                      @ ^ [Y2: $i] :
                          ( ( Y1 @ Y2 )
                          & ( !!
                            @ ^ [Y3: $i] :
                                ( ( Y1 @ Y3 )
                               => ( (~) @ ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( ( ??
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( '#sk1' @ Y1 @ Y0 ) ) ) )
       => ( (~)
          @ ( !!
            @ ^ [Y0: $i > $o] :
                ( ( ??
                  @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
               => ( ??
                  @ ^ [Y1: $i] :
                      ( ( Y0 @ Y1 )
                      & ( !!
                        @ ^ [Y2: $i] :
                            ( ( Y0 @ Y2 )
                           => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) )
     => ( (~)
        @ ( !!
          @ ^ [Y0: $i > $o] :
              ( ( ??
                @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( Y0 @ Y1 )
                    & ( !!
                      @ ^ [Y2: $i] :
                          ( ( Y0 @ Y2 )
                         => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( ( ??
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
       => ( ??
          @ ^ [Y1: $i] :
              ( ( Y0 @ Y1 )
              & ( !!
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y2 )
                   => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i > $o] :
      ( ( ??
        @ ^ [Y0: $i] : ( X2 @ Y0 ) )
     => ( ??
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( X2 @ Y1 )
                 => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl24,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
   => ( ??
      @ ^ [Y0: $i] :
          ( ( ??
            @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( ??
                  @ ^ [Y2: $i] : ( '#sk1' @ Y1 @ Y2 ) )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl95,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( ??
            @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( ??
                  @ ^ [Y2: $i] : ( '#sk1' @ Y1 @ Y2 ) )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl2,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl96,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( ( ??
          @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) )
        & ( !!
          @ ^ [Y1: $i] :
              ( ( ??
                @ ^ [Y2: $i] : ( '#sk1' @ Y1 @ Y2 ) )
             => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl2]) ).

thf(zip_derived_cl98,plain,
    ( ( ??
      @ ^ [Y0: $i] : ( '#sk1' @ '#sk11' @ Y0 ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( ??
            @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) )
         => ( (~) @ ( '#sk1' @ '#sk11' @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl100,plain,
    ( ??
    @ ^ [Y0: $i] : ( '#sk1' @ '#sk11' @ Y0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl21_001,plain,
    ! [X2: $i > $o] :
      ( ( ??
        @ ^ [Y0: $i] : ( X2 @ Y0 ) )
     => ( ??
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( X2 @ Y1 )
                 => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl125,plain,
    ( $true
   => ( ??
      @ ^ [Y0: $i] :
          ( ( ^ [Y1: $i] : ( '#sk1' @ '#sk11' @ Y1 )
            @ Y0 )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( ^ [Y2: $i] : ( '#sk1' @ '#sk11' @ Y2 )
                  @ Y1 )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl21]) ).

thf(zip_derived_cl128,plain,
    ( $true
   => ( ??
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ '#sk11' @ Y0 )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ '#sk11' @ Y1 )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl125]) ).

thf(zip_derived_cl129,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( ( '#sk1' @ '#sk11' @ Y0 )
        & ( !!
          @ ^ [Y1: $i] :
              ( ( '#sk1' @ '#sk11' @ Y1 )
             => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl21_002,plain,
    ! [X2: $i > $o] :
      ( ( ??
        @ ^ [Y0: $i] : ( X2 @ Y0 ) )
     => ( ??
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( X2 @ Y1 )
                 => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl162,plain,
    ( $true
   => ( ??
      @ ^ [Y0: $i] :
          ( ( ^ [Y1: $i] :
                ( ( '#sk1' @ '#sk11' @ Y1 )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( '#sk1' @ '#sk11' @ Y2 )
                     => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
            @ Y0 )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( ^ [Y2: $i] :
                      ( ( '#sk1' @ '#sk11' @ Y2 )
                      & ( !!
                        @ ^ [Y3: $i] :
                            ( ( '#sk1' @ '#sk11' @ Y3 )
                           => ( (~) @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) )
                  @ Y1 )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl21]) ).

thf(zip_derived_cl164,plain,
    ( $true
   => ( ??
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ '#sk11' @ Y0 )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ '#sk11' @ Y1 )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk11' @ Y1 )
                  & ( !!
                    @ ^ [Y2: $i] :
                        ( ( '#sk1' @ '#sk11' @ Y2 )
                       => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl162]) ).

thf(zip_derived_cl165,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( ( '#sk1' @ '#sk11' @ Y0 )
        & ( !!
          @ ^ [Y1: $i] :
              ( ( '#sk1' @ '#sk11' @ Y1 )
             => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) )
        & ( !!
          @ ^ [Y1: $i] :
              ( ( ( '#sk1' @ '#sk11' @ Y1 )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( '#sk1' @ '#sk11' @ Y2 )
                     => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
             => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl164]) ).

thf(zip_derived_cl21_003,plain,
    ! [X2: $i > $o] :
      ( ( ??
        @ ^ [Y0: $i] : ( X2 @ Y0 ) )
     => ( ??
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( X2 @ Y1 )
                 => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl197,plain,
    ( $true
   => ( ??
      @ ^ [Y0: $i] :
          ( ( ^ [Y1: $i] :
                ( ( '#sk1' @ '#sk11' @ Y1 )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( '#sk1' @ '#sk11' @ Y2 )
                     => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( ( '#sk1' @ '#sk11' @ Y2 )
                        & ( !!
                          @ ^ [Y3: $i] :
                              ( ( '#sk1' @ '#sk11' @ Y3 )
                             => ( (~) @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) )
                     => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
            @ Y0 )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( ^ [Y2: $i] :
                      ( ( '#sk1' @ '#sk11' @ Y2 )
                      & ( !!
                        @ ^ [Y3: $i] :
                            ( ( '#sk1' @ '#sk11' @ Y3 )
                           => ( (~) @ ( '#sk1' @ Y2 @ Y3 ) ) ) )
                      & ( !!
                        @ ^ [Y3: $i] :
                            ( ( ( '#sk1' @ '#sk11' @ Y3 )
                              & ( !!
                                @ ^ [Y4: $i] :
                                    ( ( '#sk1' @ '#sk11' @ Y4 )
                                   => ( (~) @ ( '#sk1' @ Y3 @ Y4 ) ) ) ) )
                           => ( (~) @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) )
                  @ Y1 )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl21]) ).

thf(zip_derived_cl199,plain,
    ( $true
   => ( ??
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ '#sk11' @ Y0 )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ '#sk11' @ Y1 )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk11' @ Y1 )
                  & ( !!
                    @ ^ [Y2: $i] :
                        ( ( '#sk1' @ '#sk11' @ Y2 )
                       => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) )
          & ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk11' @ Y1 )
                  & ( !!
                    @ ^ [Y2: $i] :
                        ( ( '#sk1' @ '#sk11' @ Y2 )
                       => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) )
                  & ( !!
                    @ ^ [Y2: $i] :
                        ( ( ( '#sk1' @ '#sk11' @ Y2 )
                          & ( !!
                            @ ^ [Y3: $i] :
                                ( ( '#sk1' @ '#sk11' @ Y3 )
                               => ( (~) @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) )
                       => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
               => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl197]) ).

thf(zip_derived_cl200,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( ( '#sk1' @ '#sk11' @ Y0 )
        & ( !!
          @ ^ [Y1: $i] :
              ( ( '#sk1' @ '#sk11' @ Y1 )
             => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) )
        & ( !!
          @ ^ [Y1: $i] :
              ( ( ( '#sk1' @ '#sk11' @ Y1 )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( '#sk1' @ '#sk11' @ Y2 )
                     => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
             => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) )
        & ( !!
          @ ^ [Y1: $i] :
              ( ( ( '#sk1' @ '#sk11' @ Y1 )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( '#sk1' @ '#sk11' @ Y2 )
                     => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) )
                & ( !!
                  @ ^ [Y2: $i] :
                      ( ( ( '#sk1' @ '#sk11' @ Y2 )
                        & ( !!
                          @ ^ [Y3: $i] :
                              ( ( '#sk1' @ '#sk11' @ Y3 )
                             => ( (~) @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) )
                     => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
             => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl199]) ).

thf(zip_derived_cl271,plain,
    ( ( '#sk1' @ '#sk11' @ '#sk54' )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ '#sk11' @ Y0 )
         => ( (~) @ ( '#sk1' @ '#sk54' @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( ( '#sk1' @ '#sk11' @ Y0 )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1' @ '#sk11' @ Y1 )
                 => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
         => ( (~) @ ( '#sk1' @ '#sk54' @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( ( '#sk1' @ '#sk11' @ Y0 )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1' @ '#sk11' @ Y1 )
                 => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) )
            & ( !!
              @ ^ [Y1: $i] :
                  ( ( ( '#sk1' @ '#sk11' @ Y1 )
                    & ( !!
                      @ ^ [Y2: $i] :
                          ( ( '#sk1' @ '#sk11' @ Y2 )
                         => ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
                 => ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
         => ( (~) @ ( '#sk1' @ '#sk54' @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl200]) ).

thf(zip_derived_cl300,plain,
    '#sk1' @ '#sk11' @ '#sk54',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl271]) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( '#sk1' @ Y0 @ Y1 )
           => ( '#sk1' @ Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ X2 @ Y0 )
         => ( '#sk1' @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl33,plain,
    ! [X2: $i,X4: $i] :
      ( ( '#sk1' @ X2 @ X4 )
     => ( '#sk1' @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl36,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl310,plain,
    '#sk1' @ '#sk54' @ '#sk11',
    inference('sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl36]) ).

thf(zip_derived_cl300_004,plain,
    '#sk1' @ '#sk11' @ '#sk54',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl271]) ).

thf(zip_derived_cl101,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ??
          @ ^ [Y1: $i] : ( '#sk1' @ Y0 @ Y1 ) )
       => ( (~) @ ( '#sk1' @ '#sk11' @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl160,plain,
    ! [X2: $i] :
      ( ( ??
        @ ^ [Y0: $i] : ( '#sk1' @ X2 @ Y0 ) )
     => ( (~) @ ( '#sk1' @ '#sk11' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl330,plain,
    ( ( ??
      @ ^ [Y0: $i] : ( '#sk1' @ '#sk54' @ Y0 ) )
   => ( (~) @ $true ) ),
    inference('sup+',[status(thm)],[zip_derived_cl300,zip_derived_cl160]) ).

thf(zip_derived_cl339,plain,
    ( (~)
    @ ( ??
      @ ^ [Y0: $i] : ( '#sk1' @ '#sk54' @ Y0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl330]) ).

thf(zip_derived_cl340,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( '#sk1' @ '#sk54' @ Y0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl339]) ).

thf(zip_derived_cl369,plain,
    ! [X2: $i] :
      ~ ( '#sk1' @ '#sk54' @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl340]) ).

thf(zip_derived_cl374,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl369]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU483^1 : TPTP v9.2.0. Bugfixed v3.7.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SUYNBV9dfo true
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 16:12:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.68/0.61  % Total configuration time : 828
% 0.68/0.61  % Estimated wc time : 1656
% 0.68/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.83/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.83/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.83/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.83/0.70  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.83/0.70  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.83/0.70  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.83/0.70  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.83/0.70  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.34/0.84  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.82/1.09  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 239.60/30.83  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 240.68/31.01  % Solved by lams/15_old_s4.sh.
% 240.68/31.01  % done 140 iterations in 0.139s
% 240.68/31.01  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 240.68/31.01  % SZS output start Refutation
% See solution above
% 240.68/31.01  
% 240.68/31.01  
% 240.68/31.01  % Terminating...
% 241.45/31.09  % Runner terminated.
% 241.45/31.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------