TSTP Solution File: SEU696^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU696^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hnw9o50eVi true

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 19:16:18 EDT 2023

% Result   : Theorem 64.71s 8.91s
% Output   : Refutation 64.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   73 (  28 unt;  17 typ;   0 def)
%            Number of atoms       :  242 ( 101 equ;   0 cnn)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  944 (  45   ~;  51   |;   0   &; 789   @)
%                                         (   0 <=>;  59  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   66 (  66   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   8 con; 0-4 aty)
%            Number of variables   :  237 (  59   ^; 178   !;   0   ?; 237   :)

% Comments : 
%------------------------------------------------------------------------------
thf(app_type,type,
    app: $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(sk__18_type,type,
    sk__18: ( $i > $i ) > $i > $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(lamp_type,type,
    lamp: $o ).

thf(func_type,type,
    func: $i > $i > $i > $o ).

thf(lam_type,type,
    lam: $i > $i > ( $i > $i ) > $i ).

thf(sk__19_type,type,
    sk__19: ( $i > $i ) > $i > $i > $i ).

thf(funcext_type,type,
    funcext: $o ).

thf(sk__20_type,type,
    sk__20: $i ).

thf('#l_lift8958_type',type,
    '#l_lift8958': ( $i > $i ) > $i > $i > $o ).

thf('#l_lift8957_type',type,
    '#l_lift8957': $i > $i > $o ).

thf(sk__23_type,type,
    sk__23: $i > $i > $i > $i > $i ).

thf(ap_type,type,
    ap: $i > $i > $i > $i > $i ).

thf(dpsetconstr_type,type,
    dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).

thf(beta1_type,type,
    beta1: $o ).

thf(sk__22_type,type,
    sk__22: $i ).

thf(beta1,axiom,
    ( beta1
    = ( ! [A: $i,B: $i,Xf: $i > $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ ( Xf @ Xx ) @ B ) )
         => ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( ( ap @ A @ B
                  @ ( lam @ A @ B
                    @ ^ [Xy: $i] : ( Xf @ Xy ) )
                  @ Xx )
                = ( Xf @ Xx ) ) ) ) ) ) ).

thf('0',plain,
    ( beta1
    = ( ! [X4: $i,X6: $i,X8: $i > $i] :
          ( ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( in @ ( X8 @ X10 ) @ X6 ) )
         => ! [X12: $i] :
              ( ( in @ X12 @ X4 )
             => ( ( ap @ X4 @ X6
                  @ ( lam @ X4 @ X6
                    @ ^ [V_1: $i] : ( X8 @ V_1 ) )
                  @ X12 )
                = ( X8 @ X12 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(funcext,axiom,
    ( funcext
    = ( ! [A: $i,B: $i,Xf: $i] :
          ( ( func @ A @ B @ Xf )
         => ! [Xg: $i] :
              ( ( func @ A @ B @ Xg )
             => ( ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( ap @ A @ B @ Xf @ Xx )
                      = ( ap @ A @ B @ Xg @ Xx ) ) )
               => ( Xf = Xg ) ) ) ) ) ) ).

thf('1',plain,
    ( funcext
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( func @ X4 @ X6 @ X8 )
         => ! [X10: $i] :
              ( ( func @ X4 @ X6 @ X10 )
             => ( ! [X12: $i] :
                    ( ( in @ X12 @ X4 )
                   => ( ( ap @ X4 @ X6 @ X8 @ X12 )
                      = ( ap @ X4 @ X6 @ X10 @ X12 ) ) )
               => ( X8 = X10 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(lamp,axiom,
    ( lamp
    = ( ! [A: $i,B: $i,Xf: $i > $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ ( Xf @ Xx ) @ B ) )
         => ( func @ A @ B
            @ ( lam @ A @ B
              @ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ) ) ).

thf('2',plain,
    ( lamp
    = ( ! [X4: $i,X6: $i,X8: $i > $i] :
          ( ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( in @ ( X8 @ X10 ) @ X6 ) )
         => ( func @ X4 @ X6
            @ ( lam @ X4 @ X6
              @ ^ [V_1: $i] : ( X8 @ V_1 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(lam,axiom,
    ( lam
    = ( ^ [A: $i,B: $i,Xf: $i > $i] :
          ( dpsetconstr @ A @ B
          @ ^ [Xx: $i,Xy: $i] :
              ( ( Xf @ Xx )
              = Xy ) ) ) ) ).

thf('3',plain,
    ( lam
    = ( ^ [A: $i,B: $i,Xf: $i > $i] :
          ( dpsetconstr @ A @ B
          @ ^ [Xx: $i,Xy: $i] :
              ( ( Xf @ Xx )
              = Xy ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[lam]) ).

thf('4',plain,
    ( lam
    = ( ^ [V_1: $i,V_2: $i,V_3: $i > $i] :
          ( dpsetconstr @ V_1 @ V_2
          @ ^ [V_4: $i,V_5: $i] :
              ( ( V_3 @ V_4 )
              = V_5 ) ) ) ),
    define([status(thm)]) ).

thf(app,axiom,
    ( app
    = ( ! [A: $i,B: $i,Xf: $i] :
          ( ( func @ A @ B @ Xf )
         => ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).

thf('5',plain,
    ( app
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( func @ X4 @ X6 @ X8 )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(eta1,conjecture,
    ( app
   => ( lamp
     => ( funcext
       => ( beta1
         => ! [A: $i,B: $i,Xf: $i] :
              ( ( func @ A @ B @ Xf )
             => ( ( lam @ A @ B
                  @ ^ [Xx: $i] : ( ap @ A @ B @ Xf @ Xx ) )
                = Xf ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( func @ X4 @ X6 @ X8 )
       => ! [X10: $i] :
            ( ( in @ X10 @ X4 )
           => ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) )
   => ( ! [X12: $i,X14: $i,X16: $i > $i] :
          ( ! [X18: $i] :
              ( ( in @ X18 @ X12 )
             => ( in @ ( X16 @ X18 ) @ X14 ) )
         => ( func @ X12 @ X14
            @ ( dpsetconstr @ X12 @ X14
              @ ^ [V_1: $i,V_2: $i] :
                  ( ( X16 @ V_1 )
                  = V_2 ) ) ) )
     => ( ! [X20: $i,X22: $i,X24: $i] :
            ( ( func @ X20 @ X22 @ X24 )
           => ! [X26: $i] :
                ( ( func @ X20 @ X22 @ X26 )
               => ( ! [X28: $i] :
                      ( ( in @ X28 @ X20 )
                     => ( ( ap @ X20 @ X22 @ X24 @ X28 )
                        = ( ap @ X20 @ X22 @ X26 @ X28 ) ) )
                 => ( X24 = X26 ) ) ) )
       => ( ! [X30: $i,X32: $i,X34: $i > $i] :
              ( ! [X36: $i] :
                  ( ( in @ X36 @ X30 )
                 => ( in @ ( X34 @ X36 ) @ X32 ) )
             => ! [X38: $i] :
                  ( ( in @ X38 @ X30 )
                 => ( ( ap @ X30 @ X32
                      @ ( dpsetconstr @ X30 @ X32
                        @ ^ [V_3: $i,V_4: $i] :
                            ( ( X34 @ V_3 )
                            = V_4 ) )
                      @ X38 )
                    = ( X34 @ X38 ) ) ) )
         => ! [X40: $i,X42: $i,X44: $i] :
              ( ( func @ X40 @ X42 @ X44 )
             => ( ( dpsetconstr @ X40 @ X42
                  @ ^ [V_5: $i,V_6: $i] :
                      ( ( ap @ X40 @ X42 @ X44 @ V_5 )
                      = V_6 ) )
                = X44 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( func @ X4 @ X6 @ X8 )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) )
     => ( ! [X12: $i,X14: $i,X16: $i > $i] :
            ( ! [X18: $i] :
                ( ( in @ X18 @ X12 )
               => ( in @ ( X16 @ X18 ) @ X14 ) )
           => ( func @ X12 @ X14
              @ ( dpsetconstr @ X12 @ X14
                @ ^ [V_1: $i,V_2: $i] :
                    ( ( X16 @ V_1 )
                    = V_2 ) ) ) )
       => ( ! [X20: $i,X22: $i,X24: $i] :
              ( ( func @ X20 @ X22 @ X24 )
             => ! [X26: $i] :
                  ( ( func @ X20 @ X22 @ X26 )
                 => ( ! [X28: $i] :
                        ( ( in @ X28 @ X20 )
                       => ( ( ap @ X20 @ X22 @ X24 @ X28 )
                          = ( ap @ X20 @ X22 @ X26 @ X28 ) ) )
                   => ( X24 = X26 ) ) ) )
         => ( ! [X30: $i,X32: $i,X34: $i > $i] :
                ( ! [X36: $i] :
                    ( ( in @ X36 @ X30 )
                   => ( in @ ( X34 @ X36 ) @ X32 ) )
               => ! [X38: $i] :
                    ( ( in @ X38 @ X30 )
                   => ( ( ap @ X30 @ X32
                        @ ( dpsetconstr @ X30 @ X32
                          @ ^ [V_3: $i,V_4: $i] :
                              ( ( X34 @ V_3 )
                              = V_4 ) )
                        @ X38 )
                      = ( X34 @ X38 ) ) ) )
           => ! [X40: $i,X42: $i,X44: $i] :
                ( ( func @ X40 @ X42 @ X44 )
               => ( ( dpsetconstr @ X40 @ X42
                    @ ^ [V_5: $i,V_6: $i] :
                        ( ( ap @ X40 @ X42 @ X44 @ V_5 )
                        = V_6 ) )
                  = X44 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    func @ sk__20 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( func @ X4 @ X5 @ X6 )
      | ( X7 = X6 )
      | ( ( ap @ X4 @ X5 @ X7 @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) )
       != ( ap @ X4 @ X5 @ X6 @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) ) )
      | ~ ( func @ X4 @ X5 @ X7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3732,plain,
    ! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
      ( ~ ( in @ X8 @ X9 )
      | ( ( ap @ X9 @ X11
          @ ( dpsetconstr @ X9 @ X11
            @ ^ [Y0: $i] :
                ( $i
                = ( X10 @ Y0 ) ) )
          @ X8 )
        = ( X10 @ X8 ) )
      | ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3732_001,plain,
    ! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
      ( ~ ( in @ X8 @ X9 )
      | ( ( ap @ X9 @ X11
          @ ( dpsetconstr @ X9 @ X11
            @ ^ [Y0: $i] :
                ( $i
                = ( X10 @ Y0 ) ) )
          @ X8 )
        = ( X10 @ X8 ) )
      | ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3729,plain,
    ( ( dpsetconstr @ sk__20 @ sk__21
      @ ^ [Y0: $i] :
          ( $i
          = ( ap @ sk__20 @ sk__21 @ sk__22 @ Y0 ) ) )
   != sk__22 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3730,plain,
    ! [X1: $i,X2: $i] :
      ( ( '#l_lift8957' @ X1 @ X2 )
      = ( ( ap @ sk__20 @ sk__21 @ sk__22 @ X1 )
        = X2 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl3734,plain,
    ( ( '#l_lift8958' @ ( ap @ sk__20 @ sk__21 @ sk__22 ) )
    = '#l_lift8957' ),
    define([status(thm)]) ).

thf(zip_derived_cl3732_002,plain,
    ! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
      ( ~ ( in @ X8 @ X9 )
      | ( ( ap @ X9 @ X11
          @ ( dpsetconstr @ X9 @ X11
            @ ^ [Y0: $i] :
                ( $i
                = ( X10 @ Y0 ) ) )
          @ X8 )
        = ( X10 @ X8 ) )
      | ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3733,plain,
    ! [X10: $i > $i,X12: $i,X13: $i] :
      ( ( '#l_lift8958' @ X10 @ X12 @ X13 )
      = ( ( X10 @ X12 )
        = X13 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl3735,plain,
    ! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
      ( ~ ( in @ X8 @ X9 )
      | ( ( ap @ X9 @ X11 @ ( dpsetconstr @ X9 @ X11 @ ( '#l_lift8958' @ X10 ) ) @ X8 )
        = ( X10 @ X8 ) )
      | ( in @ ( sk__19 @ X10 @ X11 @ X9 ) @ X9 ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl3732,zip_derived_cl3734,zip_derived_cl3733]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ ( ap @ X1 @ X2 @ X3 @ X0 ) @ X2 )
      | ~ ( func @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3734_003,plain,
    ( ( '#l_lift8958' @ ( ap @ sk__20 @ sk__21 @ sk__22 ) )
    = '#l_lift8957' ),
    define([status(thm)]) ).

thf(zip_derived_cl3729_004,plain,
    ( ( dpsetconstr @ sk__20 @ sk__21
      @ ^ [Y0: $i] :
          ( $i
          = ( ap @ sk__20 @ sk__21 @ sk__22 @ Y0 ) ) )
   != sk__22 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3730_005,plain,
    ! [X1: $i,X2: $i] :
      ( ( '#l_lift8957' @ X1 @ X2 )
      = ( ( ap @ sk__20 @ sk__21 @ sk__22 @ X1 )
        = X2 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl3731,plain,
    ( ( dpsetconstr @ sk__20 @ sk__21 @ '#l_lift8957' )
   != sk__22 ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl3729,zip_derived_cl3730]) ).

thf(zip_derived_cl6,plain,
    ! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
      ( ~ ( in @ X8 @ X9 )
      | ( ( ap @ X9 @ X11
          @ ( dpsetconstr @ X9 @ X11
            @ ^ [Y0: $i,Y1: $i] :
                ( ( X10 @ Y0 )
                = Y1 ) )
          @ X8 )
        = ( X10 @ X8 ) )
      | ~ ( in @ ( X10 @ ( sk__19 @ X10 @ X11 @ X9 ) ) @ X11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl34,plain,
    ! [X8: $i,X9: $i,X10: $i > $i,X11: $i] :
      ( ~ ( in @ X8 @ X9 )
      | ( ( ap @ X9 @ X11
          @ ( dpsetconstr @ X9 @ X11
            @ ^ [Y0: $i] :
                ( $i
                = ( X10 @ Y0 ) ) )
          @ X8 )
        = ( X10 @ X8 ) )
      | ~ ( in @ ( X10 @ ( sk__19 @ X10 @ X11 @ X9 ) ) @ X11 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl4_006,plain,
    func @ sk__20 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_007,plain,
    ! [X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( func @ X4 @ X5 @ X6 )
      | ( X7 = X6 )
      | ( ( ap @ X4 @ X5 @ X7 @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) )
       != ( ap @ X4 @ X5 @ X6 @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) ) )
      | ~ ( func @ X4 @ X5 @ X7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ~ ( func @ sk__20 @ sk__21 @ X0 )
      | ( ( ap @ sk__20 @ sk__21 @ X0 @ ( sk__23 @ sk__22 @ X0 @ sk__21 @ sk__20 ) )
       != ( ap @ sk__20 @ sk__21 @ sk__22 @ ( sk__23 @ sk__22 @ X0 @ sk__21 @ sk__20 ) ) )
      | ( X0 = sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i > $i] :
      ( ( ( X0
          @ ( sk__23 @ sk__22
            @ ( dpsetconstr @ sk__20 @ sk__21
              @ ^ [Y0: $i] :
                  ( $i
                  = ( X0 @ Y0 ) ) )
            @ sk__21
            @ sk__20 ) )
       != ( ap @ sk__20 @ sk__21 @ sk__22
          @ ( sk__23 @ sk__22
            @ ( dpsetconstr @ sk__20 @ sk__21
              @ ^ [Y0: $i] :
                  ( $i
                  = ( X0 @ Y0 ) ) )
            @ sk__21
            @ sk__20 ) ) )
      | ~ ( in @ ( X0 @ ( sk__19 @ X0 @ sk__21 @ sk__20 ) ) @ sk__21 )
      | ~ ( in
          @ ( sk__23 @ sk__22
            @ ( dpsetconstr @ sk__20 @ sk__21
              @ ^ [Y0: $i] :
                  ( $i
                  = ( X0 @ Y0 ) ) )
            @ sk__21
            @ sk__20 )
          @ sk__20 )
      | ( ( dpsetconstr @ sk__20 @ sk__21
          @ ^ [Y0: $i] :
              ( $i
              = ( X0 @ Y0 ) ) )
        = sk__22 )
      | ~ ( func @ sk__20 @ sk__21
          @ ( dpsetconstr @ sk__20 @ sk__21
            @ ^ [Y0: $i] :
                ( $i
                = ( X0 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl22]) ).

thf(zip_derived_cl4_008,plain,
    func @ sk__20 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( func @ X4 @ X5 @ X6 )
      | ( X7 = X6 )
      | ( in @ ( sk__23 @ X6 @ X7 @ X5 @ X4 ) @ X4 )
      | ~ ( func @ X4 @ X5 @ X7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ~ ( func @ sk__20 @ sk__21 @ X0 )
      | ( in @ ( sk__23 @ sk__22 @ X0 @ sk__21 @ sk__20 ) @ sk__20 )
      | ( X0 = sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl906,plain,
    ! [X0: $i > $i] :
      ( ~ ( func @ sk__20 @ sk__21
          @ ( dpsetconstr @ sk__20 @ sk__21
            @ ^ [Y0: $i] :
                ( $i
                = ( X0 @ Y0 ) ) ) )
      | ( ( dpsetconstr @ sk__20 @ sk__21
          @ ^ [Y0: $i] :
              ( $i
              = ( X0 @ Y0 ) ) )
        = sk__22 )
      | ~ ( in @ ( X0 @ ( sk__19 @ X0 @ sk__21 @ sk__20 ) ) @ sk__21 )
      | ( ( X0
          @ ( sk__23 @ sk__22
            @ ( dpsetconstr @ sk__20 @ sk__21
              @ ^ [Y0: $i] :
                  ( $i
                  = ( X0 @ Y0 ) ) )
            @ sk__21
            @ sk__20 ) )
       != ( ap @ sk__20 @ sk__21 @ sk__22
          @ ( sk__23 @ sk__22
            @ ( dpsetconstr @ sk__20 @ sk__21
              @ ^ [Y0: $i] :
                  ( $i
                  = ( X0 @ Y0 ) ) )
            @ sk__21
            @ sk__20 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl15]) ).

thf(zip_derived_cl3733_009,plain,
    ! [X10: $i > $i,X12: $i,X13: $i] :
      ( ( '#l_lift8958' @ X10 @ X12 @ X13 )
      = ( ( X10 @ X12 )
        = X13 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl3733_010,plain,
    ! [X10: $i > $i,X12: $i,X13: $i] :
      ( ( '#l_lift8958' @ X10 @ X12 @ X13 )
      = ( ( X10 @ X12 )
        = X13 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl3733_011,plain,
    ! [X10: $i > $i,X12: $i,X13: $i] :
      ( ( '#l_lift8958' @ X10 @ X12 @ X13 )
      = ( ( X10 @ X12 )
        = X13 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl3733_012,plain,
    ! [X10: $i > $i,X12: $i,X13: $i] :
      ( ( '#l_lift8958' @ X10 @ X12 @ X13 )
      = ( ( X10 @ X12 )
        = X13 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl3834,plain,
    ! [X0: $i > $i] :
      ( ~ ( func @ sk__20 @ sk__21 @ ( dpsetconstr @ sk__20 @ sk__21 @ ( '#l_lift8958' @ X0 ) ) )
      | ( ( dpsetconstr @ sk__20 @ sk__21 @ ( '#l_lift8958' @ X0 ) )
        = sk__22 )
      | ~ ( in @ ( X0 @ ( sk__19 @ X0 @ sk__21 @ sk__20 ) ) @ sk__21 )
      | ( ( X0 @ ( sk__23 @ sk__22 @ ( dpsetconstr @ sk__20 @ sk__21 @ ( '#l_lift8958' @ X0 ) ) @ sk__21 @ sk__20 ) )
       != ( ap @ sk__20 @ sk__21 @ sk__22 @ ( sk__23 @ sk__22 @ ( dpsetconstr @ sk__20 @ sk__21 @ ( '#l_lift8958' @ X0 ) ) @ sk__21 @ sk__20 ) ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl906,zip_derived_cl3733,zip_derived_cl3733,zip_derived_cl3733,zip_derived_cl3733]) ).

thf(zip_derived_cl8,plain,
    ! [X12: $i,X13: $i,X14: $i > $i] :
      ( ( func @ X12 @ X13
        @ ( dpsetconstr @ X12 @ X13
          @ ^ [Y0: $i,Y1: $i] :
              ( ( X14 @ Y0 )
              = Y1 ) ) )
      | ( in @ ( sk__18 @ X14 @ X13 @ X12 ) @ X12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X12: $i,X13: $i,X14: $i > $i] :
      ( ( func @ X12 @ X13
        @ ( dpsetconstr @ X12 @ X13
          @ ^ [Y0: $i] :
              ( $i
              = ( X14 @ Y0 ) ) ) )
      | ( in @ ( sk__18 @ X14 @ X13 @ X12 ) @ X12 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl7,plain,
    ! [X12: $i,X13: $i,X14: $i > $i] :
      ( ( func @ X12 @ X13
        @ ( dpsetconstr @ X12 @ X13
          @ ^ [Y0: $i,Y1: $i] :
              ( ( X14 @ Y0 )
              = Y1 ) ) )
      | ~ ( in @ ( X14 @ ( sk__18 @ X14 @ X13 @ X12 ) ) @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl28,plain,
    ! [X12: $i,X13: $i,X14: $i > $i] :
      ( ( func @ X12 @ X13
        @ ( dpsetconstr @ X12 @ X13
          @ ^ [Y0: $i] :
              ( $i
              = ( X14 @ Y0 ) ) ) )
      | ~ ( in @ ( X14 @ ( sk__18 @ X14 @ X13 @ X12 ) ) @ X13 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ ( ap @ X1 @ X2 @ X3 @ X0 ) @ X2 )
      | ~ ( func @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( func @ X1 @ X0
        @ ( dpsetconstr @ X1 @ X0
          @ ^ [Y0: $i] :
              ( $i
              = ( ap @ X3 @ X0 @ X2 @ Y0 ) ) ) )
      | ~ ( func @ X3 @ X0 @ X2 )
      | ~ ( in @ ( sk__18 @ ( ap @ X3 @ X0 @ X2 ) @ X0 @ X1 ) @ X3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl0]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( func @ X0 @ X1
        @ ( dpsetconstr @ X0 @ X1
          @ ^ [Y0: $i] :
              ( $i
              = ( ap @ X0 @ X1 @ X2 @ Y0 ) ) ) )
      | ~ ( func @ X0 @ X1 @ X2 )
      | ( func @ X0 @ X1
        @ ( dpsetconstr @ X0 @ X1
          @ ^ [Y0: $i] :
              ( $i
              = ( ap @ X0 @ X1 @ X2 @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl29]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( func @ X0 @ X1 @ X2 )
      | ( func @ X0 @ X1
        @ ( dpsetconstr @ X0 @ X1
          @ ^ [Y0: $i] :
              ( $i
              = ( ap @ X0 @ X1 @ X2 @ Y0 ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl3733_014,plain,
    ! [X10: $i > $i,X12: $i,X13: $i] :
      ( ( '#l_lift8958' @ X10 @ X12 @ X13 )
      = ( ( X10 @ X12 )
        = X13 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl3824,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( func @ X0 @ X1 @ X2 )
      | ( func @ X0 @ X1 @ ( dpsetconstr @ X0 @ X1 @ ( '#l_lift8958' @ ( ap @ X0 @ X1 @ X2 ) ) ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl78,zip_derived_cl3733]) ).

thf(zip_derived_cl15_015,plain,
    ! [X0: $i] :
      ( ~ ( func @ sk__20 @ sk__21 @ X0 )
      | ( in @ ( sk__23 @ sk__22 @ X0 @ sk__21 @ sk__20 ) @ sk__20 )
      | ( X0 = sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl3949,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl4,zip_derived_cl1,zip_derived_cl3735,zip_derived_cl0,zip_derived_cl3734,zip_derived_cl3731,zip_derived_cl3834,zip_derived_cl3824,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU696^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hnw9o50eVi true
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Aug 23 13:20:24 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 64.71/8.91  % Solved by lams/40_c_ic.sh.
% 64.71/8.91  % done 381 iterations in 8.090s
% 64.71/8.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 64.71/8.91  % SZS output start Refutation
% See solution above
% 64.71/8.91  
% 64.71/8.91  
% 64.71/8.91  % Terminating...
% 65.09/9.05  % Runner terminated.
% 65.09/9.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------