TSTP Solution File: SYO858^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO858^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pmmj6OO44f true

% Computer : n009.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 : Fri Sep  1 05:53:00 EDT 2023

% Result   : Theorem 147.79s 19.46s
% Output   : Refutation 147.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   57
% Syntax   : Number of formulae    :   86 (  43 unt;  32 typ;   0 def)
%            Number of atoms       :   83 (  54 equ;   0 cnn)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  755 (   9   ~;   6   |;   0   &; 717   @)
%                                         (   3 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  649 ( 649   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   36 (  32 usr;   5 con; 0-3 aty)
%                                         (   0  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :  599 ( 436   ^; 162   !;   1   ?; 599   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#l_lift18182_type',type,
    '#l_lift18182': $i > $i > $i > $i ).

thf('#l_lift18191_type',type,
    '#l_lift18191': ( ( $i > $i > $i > $i ) > $i ) > $i > $i ).

thf('#l_lift18190_type',type,
    '#l_lift18190': $i > ( ( $i > $i > $i > $i ) > $i ) > $i > $i ).

thf('#l_lift18180_type',type,
    '#l_lift18180': ( $i > $i > $i ) > $i ).

thf(c_lam_type,type,
    c_lam: $i > ( $i > $i ) > $i ).

thf('#l_lift18179_type',type,
    '#l_lift18179': $i > $i > $i > $i ).

thf(sk__66_type,type,
    sk__66: ( ( ( $i > $i > $i > $i ) > $i ) > $i > $i ) > $i > $i ).

thf(c_Power_type,type,
    c_Power: $i > $i ).

thf(c_Subq_type,type,
    c_Subq: $i > $i > $o ).

thf('#l_lift18183_type',type,
    '#l_lift18183': ( $i > $i ) > ( ( $i > $i > $i > $i ) > $i ) > $i > $i ).

thf('#l_lift18193_type',type,
    '#l_lift18193': $i > ( ( $i > $i > $i > $i ) > $i ) > $i > $i ).

thf(c_iff_type,type,
    c_iff: $o > $o > $o ).

thf(c_Empty_type,type,
    c_Empty: $i ).

thf(c_In_type,type,
    c_In: $i > $i > $o ).

thf(c_Inj1_type,type,
    c_Inj1: $i > $i ).

thf('#l_lift18194_type',type,
    '#l_lift18194': $i > $i > $i ).

thf(sk__65_type,type,
    sk__65: ( $i > $i ) > $i > $i ).

thf(c_setsum_type,type,
    c_setsum: $i > $i > $i ).

thf(c_Inj0_type,type,
    c_Inj0: $i > $i ).

thf('#l_lift18181_type',type,
    '#l_lift18181': ( ( $i > $i > $i > $i ) > $i ) > $i > $i ).

thf('#l_lift18189_type',type,
    '#l_lift18189': ( ( $i > $i > $i > $i ) > $i ) > $i > $i ).

thf(c_not_type,type,
    c_not: $o > $o ).

thf('#l_lift18175_type',type,
    '#l_lift18175': ( ( $i > $i > $i > $i ) > $i ) > $i > $i ).

thf(c_setprod_type,type,
    c_setprod: $i > $i > $i ).

thf(c_False_type,type,
    c_False: $o ).

thf(sk__64_type,type,
    sk__64: ( $i > $i > $i > $i ) > ( $i > $i ) > ( ( $i > $i > $i ) > $i ) > $i ).

thf('#l_lift18178_type',type,
    '#l_lift18178': ( $i > $i > $i ) > $i ).

thf('#l_lift18164_type',type,
    '#l_lift18164': $i > $i > $i ).

thf(sk__67_type,type,
    sk__67: ( $i > $i ) > ( $i > $i ) > $i ).

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

thf('#l_lift18195_type',type,
    '#l_lift18195': $i > $i > $i > $i ).

thf('#l_lift18186_type',type,
    '#l_lift18186': $i > $i > $i ).

thf(ax17,axiom,
    ! [X0: $i,X1: $i] :
      ( ( c_Subq @ X0 @ X1 )
    <=> ! [X2: $i] :
          ( ( c_In @ X2 @ X0 )
         => ( c_In @ X2 @ X1 ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Subq @ X0 @ X1 )
      | ( c_In @ ( sk__10 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[ax17]) ).

thf(ax3,axiom,
    ! [X0: $o,X1: $o] :
      ( ( c_iff @ X0 @ X1 )
     => ( X0
      <=> X1 ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $o,X1: $o] :
      ( ~ X0
      | X1
      | ~ ( c_iff @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(ax7,axiom,
    ! [X0: $i,X1: $i] : ( c_iff @ ( c_In @ X1 @ ( c_Power @ X0 ) ) @ ( c_Subq @ X1 @ X0 ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] : ( c_iff @ ( c_In @ X0 @ ( c_Power @ X1 ) ) @ ( c_Subq @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(ax13,axiom,
    ! [X0: $o] :
      ( ( c_not @ X0 )
    <=> ( X0
       => c_False ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $o] :
      ( ~ X0
      | c_False
      | ~ ( c_not @ X0 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(conj,conjecture,
    ! [X0: ( $i > $i > $i > $i ) > ( $i > $i ) > ( ( $i > $i > $i ) > $i ) > $i,X1: ( $i > $i ) > $i > $i,X2: ( ( ( $i > $i > $i > $i ) > $i ) > $i > $i ) > $i > $i,X3: ( $i > $i ) > ( $i > $i ) > $i] :
      ( ! [X4: $i > ( ( $i > $i ) > $i ) > $i,X5: ( $i > $i ) > $i,X6: ( ( $i > $i > $i ) > ( $i > $i ) > $i ) > $i,X7: $i] :
          ( ( X3
            @ ^ [X8: $i] : ( c_Inj1 @ c_Empty )
            @ ^ [X8: $i] : ( c_setsum @ c_Empty @ c_Empty ) )
          = ( c_Inj1 @ c_Empty ) )
     => ( ! [X4: $i,X5: $i,X6: $i,X7: $i] :
            ( ( X3
              @ ^ [X8: $i] : X6
              @ ^ [X8: $i] : X7 )
            = ( c_setsum
              @ ( X2
                @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] : c_Empty
                @ ( X0
                  @ ^ [X8: $i,X9: $i,X10: $i] :
                      ( X3
                      @ ^ [X11: $i] : X10
                      @ ^ [X11: $i] : c_Empty )
                  @ ^ [X8: $i] : c_Empty
                  @ ^ [X8: $i > $i > $i] : c_Empty ) )
              @ c_Empty ) )
       => ( ! [X4: $i > $i,X5: $i > $i > $i,X6: $i > $i,X7: $i] :
              ( ( X2
                @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] : X7
                @ c_Empty )
              = X7 )
         => ( ! [X4: $i > ( $i > $i > $i ) > $i,X5: $i > $i,X6: ( ( ( $i > $i ) > $i ) > $i ) > $i,X7: $i > $i] :
                ( ( X2
                  @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] :
                      ( X7
                      @ ( X2
                        @ ^ [X10: ( $i > $i > $i > $i ) > $i,X11: $i] :
                            ( X0
                            @ ^ [X12: $i,X13: $i,X14: $i] : ( c_Inj1 @ c_Empty )
                            @ ^ [X12: $i] : ( c_Inj0 @ c_Empty )
                            @ ^ [X12: $i > $i > $i] :
                                ( X3
                                @ ^ [X13: $i] : c_Empty
                                @ ^ [X13: $i] : c_Empty ) )
                        @ ( c_Inj0
                          @ ( X0
                            @ ^ [X10: $i,X11: $i,X12: $i] : c_Empty
                            @ ^ [X10: $i] : c_Empty
                            @ ^ [X10: $i > $i > $i] : c_Empty ) ) ) )
                  @ ( X3
                    @ ^ [X8: $i] : ( c_setsum @ X8 @ c_Empty )
                    @ ^ [X8: $i] : c_Empty ) )
                = ( c_setsum
                  @ ( X7
                    @ ( X5
                      @ ( X0
                        @ ^ [X8: $i,X9: $i,X10: $i] : ( c_Inj1 @ c_Empty )
                        @ ^ [X8: $i] :
                            ( X0
                            @ ^ [X9: $i,X10: $i,X11: $i] : c_Empty
                            @ ^ [X9: $i] : c_Empty
                            @ ^ [X9: $i > $i > $i] : c_Empty )
                        @ ^ [X8: $i > $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
                  @ ( X1
                    @ ^ [X8: $i] : ( X7 @ c_Empty )
                    @ ( X5
                      @ ( X4
                        @ ( X1
                          @ ^ [X8: $i] : c_Empty
                          @ c_Empty )
                        @ ^ [X8: $i,X9: $i] : c_Empty ) ) ) ) )
           => ( ! [X4: ( ( $i > $i ) > $i > $i ) > $i,X5: $i,X6: $i,X7: $i] :
                  ( ( X1
                    @ ^ [X8: $i] :
                        ( c_Inj1
                        @ ( X1
                          @ ^ [X9: $i] :
                              ( c_Inj0
                              @ ( X0
                                @ ^ [X10: $i,X11: $i,X12: $i] : c_Empty
                                @ ^ [X10: $i] : c_Empty
                                @ ^ [X10: $i > $i > $i] : c_Empty ) )
                          @ ( c_Inj1 @ X7 ) ) )
                    @ ( c_Inj0
                      @ ( X2
                        @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] : X9
                        @ X5 ) ) )
                  = ( c_Inj0
                    @ ( X2
                      @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] : X7
                      @ ( c_setsum @ c_Empty @ c_Empty ) ) ) )
             => ( ! [X4: ( ( $i > $i ) > $i ) > $i,X5: $i > $i > ( $i > $i ) > $i,X6: $i,X7: ( $i > $i ) > ( $i > $i ) > $i] :
                    ( ( X1
                      @ ^ [X8: $i] :
                          ( X7
                          @ ^ [X9: $i] : ( c_setsum @ X9 @ X8 )
                          @ ^ [X9: $i] : c_Empty )
                      @ c_Empty )
                    = ( X7
                      @ ^ [X8: $i] :
                          ( c_setsum
                          @ ( X2
                            @ ^ [X9: ( $i > $i > $i > $i ) > $i,X10: $i] : c_Empty
                            @ ( X3
                              @ ^ [X9: $i] :
                                  ( X2
                                  @ ^ [X10: ( $i > $i > $i > $i ) > $i,X11: $i] : c_Empty
                                  @ c_Empty )
                              @ ^ [X9: $i] :
                                  ( X1
                                  @ ^ [X10: $i] : c_Empty
                                  @ c_Empty ) ) )
                          @ ( X2
                            @ ^ [X9: ( $i > $i > $i > $i ) > $i,X10: $i] : c_Empty
                            @ ( X2
                              @ ^ [X9: ( $i > $i > $i > $i ) > $i,X10: $i] : ( c_setsum @ c_Empty @ c_Empty )
                              @ ( X2
                                @ ^ [X9: ( $i > $i > $i > $i ) > $i,X10: $i] : c_Empty
                                @ c_Empty ) ) ) )
                      @ ^ [X8: $i] :
                          ( c_Inj1
                          @ ( X1
                            @ ^ [X9: $i] :
                                ( X7
                                @ ^ [X10: $i] :
                                    ( X1
                                    @ ^ [X11: $i] : c_Empty
                                    @ c_Empty )
                                @ ^ [X10: $i] : ( c_Inj1 @ c_Empty ) )
                            @ X6 ) ) ) )
               => ( ! [X4: $i > ( ( $i > $i ) > $i > $i ) > $i,X5: $i,X6: $i,X7: $i] :
                      ( ( X0
                        @ ^ [X8: $i,X9: $i,X10: $i] : X7
                        @ ^ [X8: $i] : X6
                        @ ^ [X8: $i > $i > $i] : c_Empty )
                      = X6 )
                 => ( ! [X4: $i,X5: $i,X6: $i > ( $i > $i ) > $i,X7: $i > $i] :
                        ( ( X0
                          @ ^ [X8: $i,X9: $i,X10: $i] :
                              ( X1
                              @ ^ [X11: $i] :
                                  ( X2
                                  @ ^ [X12: ( $i > $i > $i > $i ) > $i,X13: $i] : X10
                                  @ ( X2
                                    @ ^ [X12: ( $i > $i > $i > $i ) > $i,X13: $i] : ( c_setsum @ c_Empty @ c_Empty )
                                    @ X11 ) )
                              @ ( c_Inj1 @ c_Empty ) )
                          @ ^ [X8: $i] : ( X7 @ c_Empty )
                          @ ^ [X8: $i > $i > $i] : c_Empty )
                        = ( X7 @ X4 ) )
                   => c_False ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: ( $i > $i > $i > $i ) > ( $i > $i ) > ( ( $i > $i > $i ) > $i ) > $i,X1: ( $i > $i ) > $i > $i,X2: ( ( ( $i > $i > $i > $i ) > $i ) > $i > $i ) > $i > $i,X3: ( $i > $i ) > ( $i > $i ) > $i] :
        ( ! [X4: $i > ( ( $i > $i ) > $i ) > $i,X5: ( $i > $i ) > $i,X6: ( ( $i > $i > $i ) > ( $i > $i ) > $i ) > $i,X7: $i] :
            ( ( X3
              @ ^ [X8: $i] : ( c_Inj1 @ c_Empty )
              @ ^ [X8: $i] : ( c_setsum @ c_Empty @ c_Empty ) )
            = ( c_Inj1 @ c_Empty ) )
       => ( ! [X4: $i,X5: $i,X6: $i,X7: $i] :
              ( ( X3
                @ ^ [X8: $i] : X6
                @ ^ [X8: $i] : X7 )
              = ( c_setsum
                @ ( X2
                  @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] : c_Empty
                  @ ( X0
                    @ ^ [X8: $i,X9: $i,X10: $i] :
                        ( X3
                        @ ^ [X11: $i] : X10
                        @ ^ [X11: $i] : c_Empty )
                    @ ^ [X8: $i] : c_Empty
                    @ ^ [X8: $i > $i > $i] : c_Empty ) )
                @ c_Empty ) )
         => ( ! [X4: $i > $i,X5: $i > $i > $i,X6: $i > $i,X7: $i] :
                ( ( X2
                  @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] : X7
                  @ c_Empty )
                = X7 )
           => ( ! [X4: $i > ( $i > $i > $i ) > $i,X5: $i > $i,X6: ( ( ( $i > $i ) > $i ) > $i ) > $i,X7: $i > $i] :
                  ( ( X2
                    @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] :
                        ( X7
                        @ ( X2
                          @ ^ [X10: ( $i > $i > $i > $i ) > $i,X11: $i] :
                              ( X0
                              @ ^ [X12: $i,X13: $i,X14: $i] : ( c_Inj1 @ c_Empty )
                              @ ^ [X12: $i] : ( c_Inj0 @ c_Empty )
                              @ ^ [X12: $i > $i > $i] :
                                  ( X3
                                  @ ^ [X13: $i] : c_Empty
                                  @ ^ [X13: $i] : c_Empty ) )
                          @ ( c_Inj0
                            @ ( X0
                              @ ^ [X10: $i,X11: $i,X12: $i] : c_Empty
                              @ ^ [X10: $i] : c_Empty
                              @ ^ [X10: $i > $i > $i] : c_Empty ) ) ) )
                    @ ( X3
                      @ ^ [X8: $i] : ( c_setsum @ X8 @ c_Empty )
                      @ ^ [X8: $i] : c_Empty ) )
                  = ( c_setsum
                    @ ( X7
                      @ ( X5
                        @ ( X0
                          @ ^ [X8: $i,X9: $i,X10: $i] : ( c_Inj1 @ c_Empty )
                          @ ^ [X8: $i] :
                              ( X0
                              @ ^ [X9: $i,X10: $i,X11: $i] : c_Empty
                              @ ^ [X9: $i] : c_Empty
                              @ ^ [X9: $i > $i > $i] : c_Empty )
                          @ ^ [X8: $i > $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
                    @ ( X1
                      @ ^ [X8: $i] : ( X7 @ c_Empty )
                      @ ( X5
                        @ ( X4
                          @ ( X1
                            @ ^ [X8: $i] : c_Empty
                            @ c_Empty )
                          @ ^ [X8: $i,X9: $i] : c_Empty ) ) ) ) )
             => ( ! [X4: ( ( $i > $i ) > $i > $i ) > $i,X5: $i,X6: $i,X7: $i] :
                    ( ( X1
                      @ ^ [X8: $i] :
                          ( c_Inj1
                          @ ( X1
                            @ ^ [X9: $i] :
                                ( c_Inj0
                                @ ( X0
                                  @ ^ [X10: $i,X11: $i,X12: $i] : c_Empty
                                  @ ^ [X10: $i] : c_Empty
                                  @ ^ [X10: $i > $i > $i] : c_Empty ) )
                            @ ( c_Inj1 @ X7 ) ) )
                      @ ( c_Inj0
                        @ ( X2
                          @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] : X9
                          @ X5 ) ) )
                    = ( c_Inj0
                      @ ( X2
                        @ ^ [X8: ( $i > $i > $i > $i ) > $i,X9: $i] : X7
                        @ ( c_setsum @ c_Empty @ c_Empty ) ) ) )
               => ( ! [X4: ( ( $i > $i ) > $i ) > $i,X5: $i > $i > ( $i > $i ) > $i,X6: $i,X7: ( $i > $i ) > ( $i > $i ) > $i] :
                      ( ( X1
                        @ ^ [X8: $i] :
                            ( X7
                            @ ^ [X9: $i] : ( c_setsum @ X9 @ X8 )
                            @ ^ [X9: $i] : c_Empty )
                        @ c_Empty )
                      = ( X7
                        @ ^ [X8: $i] :
                            ( c_setsum
                            @ ( X2
                              @ ^ [X9: ( $i > $i > $i > $i ) > $i,X10: $i] : c_Empty
                              @ ( X3
                                @ ^ [X9: $i] :
                                    ( X2
                                    @ ^ [X10: ( $i > $i > $i > $i ) > $i,X11: $i] : c_Empty
                                    @ c_Empty )
                                @ ^ [X9: $i] :
                                    ( X1
                                    @ ^ [X10: $i] : c_Empty
                                    @ c_Empty ) ) )
                            @ ( X2
                              @ ^ [X9: ( $i > $i > $i > $i ) > $i,X10: $i] : c_Empty
                              @ ( X2
                                @ ^ [X9: ( $i > $i > $i > $i ) > $i,X10: $i] : ( c_setsum @ c_Empty @ c_Empty )
                                @ ( X2
                                  @ ^ [X9: ( $i > $i > $i > $i ) > $i,X10: $i] : c_Empty
                                  @ c_Empty ) ) ) )
                        @ ^ [X8: $i] :
                            ( c_Inj1
                            @ ( X1
                              @ ^ [X9: $i] :
                                  ( X7
                                  @ ^ [X10: $i] :
                                      ( X1
                                      @ ^ [X11: $i] : c_Empty
                                      @ c_Empty )
                                  @ ^ [X10: $i] : ( c_Inj1 @ c_Empty ) )
                              @ X6 ) ) ) )
                 => ( ! [X4: $i > ( ( $i > $i ) > $i > $i ) > $i,X5: $i,X6: $i,X7: $i] :
                        ( ( X0
                          @ ^ [X8: $i,X9: $i,X10: $i] : X7
                          @ ^ [X8: $i] : X6
                          @ ^ [X8: $i > $i > $i] : c_Empty )
                        = X6 )
                   => ( ! [X4: $i,X5: $i,X6: $i > ( $i > $i ) > $i,X7: $i > $i] :
                          ( ( X0
                            @ ^ [X8: $i,X9: $i,X10: $i] :
                                ( X1
                                @ ^ [X11: $i] :
                                    ( X2
                                    @ ^ [X12: ( $i > $i > $i > $i ) > $i,X13: $i] : X10
                                    @ ( X2
                                      @ ^ [X12: ( $i > $i > $i > $i ) > $i,X13: $i] : ( c_setsum @ c_Empty @ c_Empty )
                                      @ X11 ) )
                                @ ( c_Inj1 @ c_Empty ) )
                            @ ^ [X8: $i] : ( X7 @ c_Empty )
                            @ ^ [X8: $i > $i > $i] : c_Empty )
                          = ( X7 @ X4 ) )
                     => c_False ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl227,plain,
    ~ c_False,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl231,plain,
    ! [X0: $o] :
      ( ~ ( c_not @ X0 )
      | ~ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl227]) ).

thf(zip_derived_cl234,plain,
    ~ ( c_not @ $true ),
    inference('ho.refine',[status(thm)],[zip_derived_cl231]) ).

thf(zip_derived_cl225,plain,
    ! [X8: $i,X9: $i] :
      ( ( sk__65
        @ ^ [Y0: $i] :
            ( c_Inj1
            @ ( sk__65
              @ ^ [Y1: $i] :
                  ( c_Inj0
                  @ ( sk__64
                    @ ^ [Y2: $i,Y3: $i,Y4: $i] : c_Empty
                    @ ^ [Y2: $i] : c_Empty
                    @ ^ [Y2: $i > $i > $i] : c_Empty ) )
              @ ( c_Inj1 @ X8 ) ) )
        @ ( c_Inj0
          @ ( sk__66
            @ ^ [Y0: ( $i > $i > $i > $i ) > $i,Y1: $i] : Y1
            @ X9 ) ) )
      = ( c_Inj0
        @ ( sk__66
          @ ^ [Y0: ( $i > $i > $i > $i ) > $i,Y1: $i] : X8
          @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30929,plain,
    ! [X10: ( $i > $i > $i > $i ) > $i,X11: $i] :
      ( ( '#l_lift18191' @ X10 @ X11 )
      = X11 ),
    define([status(thm)]) ).

thf(ax5,axiom,
    ( c_not
    @ ? [X0: $i] : ( c_In @ X0 @ c_Empty ) ) ).

thf(zip_derived_cl5,plain,
    ( c_not
    @ ( ??
      @ ^ [Y0: $i] : ( c_In @ Y0 @ c_Empty ) ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl228,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ! [X7: $i] :
      ( ( sk__66
        @ ^ [Y0: ( $i > $i > $i > $i ) > $i,Y1: $i] : X7
        @ c_Empty )
      = X7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30923,plain,
    ! [X7: $i,X8: ( $i > $i > $i > $i ) > $i,X9: $i] :
      ( ( '#l_lift18190' @ X7 @ X8 @ X9 )
      = X7 ),
    define([status(thm)]) ).

thf(ax78,axiom,
    ! [X0: $i,X1: $i] :
      ( ( c_setprod @ X0 @ X1 )
      = ( c_lam @ X0
        @ ^ [X2: $i] : X1 ) ) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_setprod @ X0 @ X1 )
      = ( c_lam @ X0
        @ ^ [Y0: $i] : X1 ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(zip_derived_cl30869,plain,
    ! [X1: $i,X2: $i] :
      ( ( '#l_lift18164' @ X1 @ X2 )
      = X1 ),
    define([status(thm)]) ).

thf(zip_derived_cl220,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__67
        @ ^ [Y0: $i] : X0
        @ ^ [Y0: $i] : X1 )
      = ( c_setsum
        @ ( sk__66
          @ ^ [Y0: ( $i > $i > $i > $i ) > $i,Y1: $i] : c_Empty
          @ ( sk__64
            @ ^ [Y0: $i,Y1: $i,Y2: $i] :
                ( sk__67
                @ ^ [Y3: $i] : Y2
                @ ^ [Y3: $i] : c_Empty )
            @ ^ [Y0: $i] : c_Empty
            @ ^ [Y0: $i > $i > $i] : c_Empty ) )
        @ c_Empty ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30906,plain,
    ! [X9: $i > $i > $i] :
      ( ( '#l_lift18178' @ X9 )
      = c_Empty ),
    define([status(thm)]) ).

thf(zip_derived_cl228_001,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30942,plain,
    ! [X19: $i,X20: $i,X21: $i] :
      ( ( '#l_lift18195' @ X19 @ X20 @ X21 )
      = ( sk__65 @ ( '#l_lift18194' @ X21 ) @ ( c_Inj1 @ c_Empty ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl228_002,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30941,plain,
    ! [X17: $i,X18: $i] :
      ( ( '#l_lift18194' @ X17 @ X18 )
      = ( sk__66 @ ( '#l_lift18193' @ X17 ) @ ( sk__66 @ ( '#l_lift18190' @ ( c_setsum @ c_Empty @ c_Empty ) ) @ X18 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl228_003,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl221,plain,
    ! [X2: $i > $i,X3: $i > $i,X4: $i > ( $i > $i > $i ) > $i] :
      ( ( sk__66
        @ ^ [Y0: ( $i > $i > $i > $i ) > $i,Y1: $i] :
            ( X2
            @ ( sk__66
              @ ^ [Y2: ( $i > $i > $i > $i ) > $i,Y3: $i] :
                  ( sk__64
                  @ ^ [Y4: $i,Y5: $i,Y6: $i] : ( c_Inj1 @ c_Empty )
                  @ ^ [Y4: $i] : ( c_Inj0 @ c_Empty )
                  @ ^ [Y4: $i > $i > $i] :
                      ( sk__67
                      @ ^ [Y5: $i] : c_Empty
                      @ ^ [Y5: $i] : c_Empty ) )
              @ ( c_Inj0
                @ ( sk__64
                  @ ^ [Y2: $i,Y3: $i,Y4: $i] : c_Empty
                  @ ^ [Y2: $i] : c_Empty
                  @ ^ [Y2: $i > $i > $i] : c_Empty ) ) ) )
        @ ( sk__67
          @ ^ [Y0: $i] : ( c_setsum @ Y0 @ c_Empty )
          @ ^ [Y0: $i] : c_Empty ) )
      = ( c_setsum
        @ ( X2
          @ ( X3
            @ ( sk__64
              @ ^ [Y0: $i,Y1: $i,Y2: $i] : ( c_Inj1 @ c_Empty )
              @ ^ [Y0: $i] :
                  ( sk__64
                  @ ^ [Y1: $i,Y2: $i,Y3: $i] : c_Empty
                  @ ^ [Y1: $i] : c_Empty
                  @ ^ [Y1: $i > $i > $i] : c_Empty )
              @ ^ [Y0: $i > $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
        @ ( sk__65
          @ ^ [Y0: $i] : ( X2 @ c_Empty )
          @ ( X3
            @ ( X4
              @ ( sk__65
                @ ^ [Y0: $i] : c_Empty
                @ c_Empty )
              @ ^ [Y0: $i,Y1: $i] : c_Empty ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30910,plain,
    ! [X9: ( $i > $i > $i > $i ) > $i,X10: $i] :
      ( ( '#l_lift18181' @ X9 @ X10 )
      = ( sk__64 @ '#l_lift18179' @ ( '#l_lift18164' @ ( c_Inj0 @ c_Empty ) ) @ '#l_lift18180' ) ),
    define([status(thm)]) ).

thf(zip_derived_cl30940,plain,
    ( ( '#l_lift18193' @ ( sk__64 @ '#l_lift18179' @ ( '#l_lift18164' @ ( c_Inj0 @ c_Empty ) ) @ '#l_lift18180' ) )
    = '#l_lift18181' ),
    define([status(thm)]) ).

thf(zip_derived_cl228_004,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl222,plain,
    ! [X5: ( $i > $i ) > ( $i > $i ) > $i,X6: $i] :
      ( ( sk__65
        @ ^ [Y0: $i] :
            ( X5
            @ ^ [Y1: $i] : ( c_setsum @ Y1 @ Y0 )
            @ ^ [Y1: $i] : c_Empty )
        @ c_Empty )
      = ( X5
        @ ^ [Y0: $i] :
            ( c_setsum
            @ ( sk__66
              @ ^ [Y1: ( $i > $i > $i > $i ) > $i,Y2: $i] : c_Empty
              @ ( sk__67
                @ ^ [Y1: $i] :
                    ( sk__66
                    @ ^ [Y2: ( $i > $i > $i > $i ) > $i,Y3: $i] : c_Empty
                    @ c_Empty )
                @ ^ [Y1: $i] :
                    ( sk__65
                    @ ^ [Y2: $i] : c_Empty
                    @ c_Empty ) ) )
            @ ( sk__66
              @ ^ [Y1: ( $i > $i > $i > $i ) > $i,Y2: $i] : c_Empty
              @ ( sk__66
                @ ^ [Y1: ( $i > $i > $i > $i ) > $i,Y2: $i] : ( c_setsum @ c_Empty @ c_Empty )
                @ ( sk__66
                  @ ^ [Y1: ( $i > $i > $i > $i ) > $i,Y2: $i] : c_Empty
                  @ c_Empty ) ) ) )
        @ ^ [Y0: $i] :
            ( c_Inj1
            @ ( sk__65
              @ ^ [Y1: $i] :
                  ( X5
                  @ ^ [Y2: $i] :
                      ( sk__65
                      @ ^ [Y3: $i] : c_Empty
                      @ c_Empty )
                  @ ^ [Y2: $i] : ( c_Inj1 @ c_Empty ) )
              @ X6 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30920,plain,
    ! [X10: ( $i > $i > $i > $i ) > $i,X11: $i] :
      ( ( '#l_lift18189' @ X10 @ X11 )
      = ( c_setsum @ c_Empty @ c_Empty ) ),
    define([status(thm)]) ).

thf(zip_derived_cl30939,plain,
    ( ( '#l_lift18193' @ ( c_setsum @ c_Empty @ c_Empty ) )
    = '#l_lift18189' ),
    define([status(thm)]) ).

thf(zip_derived_cl228_005,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl220_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__67
        @ ^ [Y0: $i] : X0
        @ ^ [Y0: $i] : X1 )
      = ( c_setsum
        @ ( sk__66
          @ ^ [Y0: ( $i > $i > $i > $i ) > $i,Y1: $i] : c_Empty
          @ ( sk__64
            @ ^ [Y0: $i,Y1: $i,Y2: $i] :
                ( sk__67
                @ ^ [Y3: $i] : Y2
                @ ^ [Y3: $i] : c_Empty )
            @ ^ [Y0: $i] : c_Empty
            @ ^ [Y0: $i > $i > $i] : c_Empty ) )
        @ c_Empty ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30902,plain,
    ! [X2: ( $i > $i > $i > $i ) > $i,X3: $i] :
      ( ( '#l_lift18175' @ X2 @ X3 )
      = c_Empty ),
    define([status(thm)]) ).

thf(zip_derived_cl30938,plain,
    ( ( '#l_lift18193' @ c_Empty )
    = '#l_lift18175' ),
    define([status(thm)]) ).

thf(zip_derived_cl228_007,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl221_008,plain,
    ! [X2: $i > $i,X3: $i > $i,X4: $i > ( $i > $i > $i ) > $i] :
      ( ( sk__66
        @ ^ [Y0: ( $i > $i > $i > $i ) > $i,Y1: $i] :
            ( X2
            @ ( sk__66
              @ ^ [Y2: ( $i > $i > $i > $i ) > $i,Y3: $i] :
                  ( sk__64
                  @ ^ [Y4: $i,Y5: $i,Y6: $i] : ( c_Inj1 @ c_Empty )
                  @ ^ [Y4: $i] : ( c_Inj0 @ c_Empty )
                  @ ^ [Y4: $i > $i > $i] :
                      ( sk__67
                      @ ^ [Y5: $i] : c_Empty
                      @ ^ [Y5: $i] : c_Empty ) )
              @ ( c_Inj0
                @ ( sk__64
                  @ ^ [Y2: $i,Y3: $i,Y4: $i] : c_Empty
                  @ ^ [Y2: $i] : c_Empty
                  @ ^ [Y2: $i > $i > $i] : c_Empty ) ) ) )
        @ ( sk__67
          @ ^ [Y0: $i] : ( c_setsum @ Y0 @ c_Empty )
          @ ^ [Y0: $i] : c_Empty ) )
      = ( c_setsum
        @ ( X2
          @ ( X3
            @ ( sk__64
              @ ^ [Y0: $i,Y1: $i,Y2: $i] : ( c_Inj1 @ c_Empty )
              @ ^ [Y0: $i] :
                  ( sk__64
                  @ ^ [Y1: $i,Y2: $i,Y3: $i] : c_Empty
                  @ ^ [Y1: $i] : c_Empty
                  @ ^ [Y1: $i > $i > $i] : c_Empty )
              @ ^ [Y0: $i > $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
        @ ( sk__65
          @ ^ [Y0: $i] : ( X2 @ c_Empty )
          @ ( X3
            @ ( X4
              @ ( sk__65
                @ ^ [Y0: $i] : c_Empty
                @ c_Empty )
              @ ^ [Y0: $i,Y1: $i] : c_Empty ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30912,plain,
    ! [X2: $i > $i,X14: ( $i > $i > $i > $i ) > $i,X15: $i] :
      ( ( '#l_lift18183' @ X2 @ X14 @ X15 )
      = ( X2 @ ( sk__66 @ '#l_lift18181' @ ( c_Inj0 @ ( sk__64 @ '#l_lift18182' @ ( '#l_lift18164' @ c_Empty ) @ '#l_lift18178' ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl30937,plain,
    ! [X0: $i > $i] :
      ( ( '#l_lift18193' @ ( X0 @ ( sk__66 @ '#l_lift18181' @ ( c_Inj0 @ ( sk__64 @ '#l_lift18182' @ ( '#l_lift18164' @ c_Empty ) @ '#l_lift18178' ) ) ) ) )
      = ( '#l_lift18183' @ X0 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl228_009,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30923_010,plain,
    ! [X7: $i,X8: ( $i > $i > $i > $i ) > $i,X9: $i] :
      ( ( '#l_lift18190' @ X7 @ X8 @ X9 )
      = X7 ),
    define([status(thm)]) ).

thf(zip_derived_cl30936,plain,
    ! [X0: $i] :
      ( ( '#l_lift18193' @ X0 )
      = ( '#l_lift18190' @ X0 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl228_011,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64
        @ ^ [Y0: $i,Y1: $i,Y2: $i] :
            ( sk__65
            @ ^ [Y3: $i] :
                ( sk__66
                @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : Y2
                @ ( sk__66
                  @ ^ [Y4: ( $i > $i > $i > $i ) > $i,Y5: $i] : ( c_setsum @ c_Empty @ c_Empty )
                  @ Y3 ) )
            @ ( c_Inj1 @ c_Empty ) )
        @ ^ [Y0: $i] : ( X12 @ c_Empty )
        @ ^ [Y0: $i > $i > $i] : c_Empty )
      = ( X12 @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30935,plain,
    ! [X14: $i,X15: ( $i > $i > $i > $i ) > $i,X16: $i] :
      ( ( '#l_lift18193' @ X14 @ X15 @ X16 )
      = X14 ),
    define([status(thm)]) ).

thf(zip_derived_cl30943,plain,
    ! [X12: $i > $i,X13: $i] :
      ( ( sk__64 @ '#l_lift18195' @ ( '#l_lift18164' @ ( X12 @ c_Empty ) ) @ '#l_lift18178' )
      = ( X12 @ X13 ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl228,zip_derived_cl30923,zip_derived_cl30869,zip_derived_cl30906,zip_derived_cl30942,zip_derived_cl30941,zip_derived_cl30940,zip_derived_cl30939,zip_derived_cl30938,zip_derived_cl30937,zip_derived_cl30936,zip_derived_cl30935]) ).

thf(zip_derived_cl221_012,plain,
    ! [X2: $i > $i,X3: $i > $i,X4: $i > ( $i > $i > $i ) > $i] :
      ( ( sk__66
        @ ^ [Y0: ( $i > $i > $i > $i ) > $i,Y1: $i] :
            ( X2
            @ ( sk__66
              @ ^ [Y2: ( $i > $i > $i > $i ) > $i,Y3: $i] :
                  ( sk__64
                  @ ^ [Y4: $i,Y5: $i,Y6: $i] : ( c_Inj1 @ c_Empty )
                  @ ^ [Y4: $i] : ( c_Inj0 @ c_Empty )
                  @ ^ [Y4: $i > $i > $i] :
                      ( sk__67
                      @ ^ [Y5: $i] : c_Empty
                      @ ^ [Y5: $i] : c_Empty ) )
              @ ( c_Inj0
                @ ( sk__64
                  @ ^ [Y2: $i,Y3: $i,Y4: $i] : c_Empty
                  @ ^ [Y2: $i] : c_Empty
                  @ ^ [Y2: $i > $i > $i] : c_Empty ) ) ) )
        @ ( sk__67
          @ ^ [Y0: $i] : ( c_setsum @ Y0 @ c_Empty )
          @ ^ [Y0: $i] : c_Empty ) )
      = ( c_setsum
        @ ( X2
          @ ( X3
            @ ( sk__64
              @ ^ [Y0: $i,Y1: $i,Y2: $i] : ( c_Inj1 @ c_Empty )
              @ ^ [Y0: $i] :
                  ( sk__64
                  @ ^ [Y1: $i,Y2: $i,Y3: $i] : c_Empty
                  @ ^ [Y1: $i] : c_Empty
                  @ ^ [Y1: $i > $i > $i] : c_Empty )
              @ ^ [Y0: $i > $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) ) )
        @ ( sk__65
          @ ^ [Y0: $i] : ( X2 @ c_Empty )
          @ ( X3
            @ ( X4
              @ ( sk__65
                @ ^ [Y0: $i] : c_Empty
                @ c_Empty )
              @ ^ [Y0: $i,Y1: $i] : c_Empty ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30915,plain,
    ! [X18: $i,X19: $i] :
      ( ( '#l_lift18186' @ X18 @ X19 )
      = c_Empty ),
    define([status(thm)]) ).

thf(zip_derived_cl30993,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl45,zip_derived_cl2,zip_derived_cl7,zip_derived_cl234,zip_derived_cl30929,zip_derived_cl5,zip_derived_cl30943,zip_derived_cl30915]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO858^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pmmj6OO44f true
% 0.14/0.35  % Computer : n009.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 : Sat Aug 26 05:05:36 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
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.44/0.67  % Total configuration time : 828
% 0.44/0.67  % Estimated wc time : 1656
% 0.44/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/1.28  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 14.92/2.53  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 147.79/19.46  % Solved by lams/40_noforms.sh.
% 147.79/19.46  % done 1115 iterations in 18.642s
% 147.79/19.46  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 147.79/19.46  % SZS output start Refutation
% See solution above
% 147.79/19.46  
% 147.79/19.46  
% 147.79/19.46  % Terminating...
% 147.79/19.54  % Runner terminated.
% 147.79/19.55  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------