TSTP Solution File: SYO269^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO269^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QV9TUabxNy true

% Computer : n013.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 05:50:31 EDT 2023

% Result   : Theorem 66.93s 9.21s
% Output   : Refutation 66.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   64 (  28 unt;  11 typ;   0 def)
%            Number of atoms       :   59 (  14 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  684 (  54   ~;  71   |;   8   &; 547   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  311 ( 311   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   1 con; 0-3 aty)
%            Number of variables   :  238 ( 103   ^; 131   !;   4   ?; 238   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#l_lift36313_type',type,
    '#l_lift36313': ( $i > $i ) > $i > $o ).

thf('#l_lift36311_type',type,
    '#l_lift36311': ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i > $i ).

thf('#l_lift36312_type',type,
    '#l_lift36312': ( $i > $i ) > $i > $o ).

thf(sk__type,type,
    sk_: $i > $o ).

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

thf(sk__2_type,type,
    sk__2: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i > $i ).

thf(sk__3_type,type,
    sk__3: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i ).

thf('#l_lift36314_type',type,
    '#l_lift36314': $o > ( $i > $i ) > $i > $o ).

thf('#l_lift36310_type',type,
    '#l_lift36310': $i > $i ).

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

thf(sk__4_type,type,
    sk__4: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i ).

thf(cTHM112D,conjecture,
    ! [P: $i > $o] :
    ? [Xm_9: ( $i > $i ) > $i > $o,Xm_10: ( $i > $i ) > $i > $o] :
      ( ! [G: $i > $i,H: $i > $i] :
          ( ( ! [Xw_1: $i] :
                ( ( Xm_10 @ G @ Xw_1 )
                | ( Xm_9 @ G @ Xw_1 ) )
            & ! [Xw_1: $i] :
                ( ( Xm_10 @ G @ Xw_1 )
                | ( Xm_9 @ G @ Xw_1 ) )
            & ! [Xw_1: $i] :
                ( ( Xm_10 @ H @ Xw_1 )
                | ( Xm_9 @ H @ Xw_1 ) ) )
         => ( ! [Xw_1: $i] :
                ( ( Xm_10
                  @ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
                  @ Xw_1 )
                | ( Xm_9
                  @ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
                  @ Xw_1 ) )
            & ! [Y: $i] :
                ( ( P @ Y )
               => ( P @ ( G @ Y ) ) ) ) )
      & ! [Xw_1: $i] :
          ( ( Xm_10
            @ ^ [Xx: $i] : Xx
            @ Xw_1 )
          | ( Xm_9
            @ ^ [Xx: $i] : Xx
            @ Xw_1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [P: $i > $o] :
      ? [Xm_9: ( $i > $i ) > $i > $o,Xm_10: ( $i > $i ) > $i > $o] :
        ( ! [G: $i > $i,H: $i > $i] :
            ( ( ! [Xw_1: $i] :
                  ( ( Xm_10 @ G @ Xw_1 )
                  | ( Xm_9 @ G @ Xw_1 ) )
              & ! [Xw_1: $i] :
                  ( ( Xm_10 @ G @ Xw_1 )
                  | ( Xm_9 @ G @ Xw_1 ) )
              & ! [Xw_1: $i] :
                  ( ( Xm_10 @ H @ Xw_1 )
                  | ( Xm_9 @ H @ Xw_1 ) ) )
           => ( ! [Xw_1: $i] :
                  ( ( Xm_10
                    @ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
                    @ Xw_1 )
                  | ( Xm_9
                    @ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
                    @ Xw_1 ) )
              & ! [Y: $i] :
                  ( ( P @ Y )
                 => ( P @ ( G @ Y ) ) ) ) )
        & ! [Xw_1: $i] :
            ( ( Xm_10
              @ ^ [Xx: $i] : Xx
              @ Xw_1 )
            | ( Xm_9
              @ ^ [Xx: $i] : Xx
              @ Xw_1 ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM112D]) ).

thf(zip_derived_cl10,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( X0
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7188,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( '#l_lift36311' @ X0 @ X1 @ X2 )
      = ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7181,plain,
    ! [X3: $i] :
      ( ( '#l_lift36310' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7193,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( X1 @ ( '#l_lift36311' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1 @ '#l_lift36310' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl10,zip_derived_cl7188,zip_derived_cl7181]) ).

thf(zip_derived_cl4,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X4: $i] :
      ( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X4 )
      | ( X1 @ ( sk__2 @ X1 @ X0 ) @ X4 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7181_001,plain,
    ! [X3: $i] :
      ( ( '#l_lift36310' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7186,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X4: $i] :
      ( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X4 )
      | ( X1 @ ( sk__2 @ X1 @ X0 ) @ X4 )
      | ~ ( X1 @ '#l_lift36310' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl4,zip_derived_cl7181]) ).

thf(zip_derived_cl9,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X0
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7188_002,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( '#l_lift36311' @ X0 @ X1 @ X2 )
      = ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl7181_003,plain,
    ! [X3: $i] :
      ( ( '#l_lift36310' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7192,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X0 @ ( '#l_lift36311' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X0 @ '#l_lift36310' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl9,zip_derived_cl7188,zip_derived_cl7181]) ).

thf(zip_derived_cl7188_004,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( '#l_lift36311' @ X0 @ X1 @ X2 )
      = ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X0
            @ ^ [Y0: $i > $i,Y1: $i] : $false ) )
      | ( X0
        @ ( sk__1 @ X0
          @ ^ [Y0: $i > $i,Y1: $i] : $false )
        @ X1 )
      | ( ^ [Y0: $i > $i,Y1: $i] : $false
        @ ( sk__1 @ X0
          @ ^ [Y0: $i > $i,Y1: $i] : $false )
        @ X1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl56,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X0
            @ ^ [Y0: $i > $i,Y1: $i] : $false ) )
      | ( X0
        @ ( sk__1 @ X0
          @ ^ [Y0: $i > $i,Y1: $i] : $false )
        @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl7181_006,plain,
    ! [X3: $i] :
      ( ( '#l_lift36310' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X4: $i] :
      ( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X4 )
      | ( X1 @ ( sk__2 @ X1 @ X0 ) @ X4 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4872,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ( X0
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X0 )
        @ X1 )
      | ( ^ [Y0: $i > $i,Y1: $i] : $false
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X0 )
        @ X1 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : $false
            @ X0 ) ) ),
    inference(false_elim,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl4894,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ( X0
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X0 )
        @ X1 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : $false
            @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl4872]) ).

thf(zip_derived_cl7197,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift36312' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7197_007,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift36312' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7207,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ~ ( X0 @ '#l_lift36310' @ ( sk__5 @ X0 @ '#l_lift36312' ) )
      | ( X0 @ ( sk__1 @ X0 @ '#l_lift36312' ) @ X1 ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl56,zip_derived_cl7181,zip_derived_cl7197,zip_derived_cl7197]) ).

thf(zip_derived_cl7181_008,plain,
    ! [X3: $i] :
      ( ( '#l_lift36310' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl13,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6337,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: ( $i > $i ) > $i > $o] :
      ( ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X2
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] :
                ( sk_
                @ ( ^ [Y2: $i > $i,Y3: $i] : Y3
                  @ Y0
                  @ Y1 ) )
            @ X2 ) )
      | ( X2
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] :
              ( sk_
              @ ( ^ [Y2: $i > $i,Y3: $i] : Y3
                @ Y0
                @ Y1 ) )
          @ X2 )
        @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl6580,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: ( $i > $i ) > $i > $o] :
      ( ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X2
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i] : sk_
            @ X2 ) )
      | ( X2
        @ ( sk__1
          @ ^ [Y0: $i > $i] : sk_
          @ X2 )
        @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl6337]) ).

thf(zip_derived_cl7217,plain,
    ! [X3: $i > $i,X4: $i] :
      ( ( '#l_lift36313' @ X3 @ X4 )
      = ( sk_ @ X4 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X3: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X3 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X3 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7181_009,plain,
    ! [X3: $i] :
      ( ( '#l_lift36310' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7184,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X3: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X3 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X3 )
      | ~ ( X1 @ '#l_lift36310' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl2,zip_derived_cl7181]) ).

thf(zip_derived_cl5_010,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X4: $i] :
      ( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X4 )
      | ( X1 @ ( sk__2 @ X1 @ X0 ) @ X4 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1592,plain,
    ! [X0: $o,X1: ( $i > $i ) > $i > $o,X2: $i,X3: ( $i > $i ) > $i > $o,X4: $i] :
      ( ~ ( X3
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : X0
            @ X3 ) )
      | ( X3
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X3 )
        @ X2 )
      | ( ^ [Y0: $i > $i,Y1: $i] : X0
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X1 )
        @ X4 )
      | ( X1
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X1 )
        @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).

thf(zip_derived_cl1836,plain,
    ! [X0: $o,X1: ( $i > $i ) > $i > $o,X2: $i,X3: ( $i > $i ) > $i > $o,X4: $i] :
      ( ~ ( X3
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : X0
            @ X3 ) )
      | ( X3
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X3 )
        @ X2 )
      | X0
      | ( X1
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X1 )
        @ X4 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1592]) ).

thf(zip_derived_cl7197_012,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift36312' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7235,plain,
    ( ( '#l_lift36314' @ $false )
    = '#l_lift36312' ),
    define([status(thm)]) ).

thf(zip_derived_cl12,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7188_013,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( '#l_lift36311' @ X0 @ X1 @ X2 )
      = ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl7181_014,plain,
    ! [X3: $i] :
      ( ( '#l_lift36310' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7195,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X1 @ ( '#l_lift36311' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1 @ '#l_lift36310' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl12,zip_derived_cl7188,zip_derived_cl7181]) ).

thf(zip_derived_cl1_015,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ! [X0: $i,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : $false
            @ X1 ) )
      | ( ^ [Y0: $i > $i,Y1: $i] : $false
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X1 )
        @ X0 )
      | ( X1
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X1 )
        @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl361,plain,
    ! [X0: $i,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : $false
            @ X1 ) )
      | ( X1
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X1 )
        @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl344]) ).

thf(zip_derived_cl7181_016,plain,
    ! [X3: $i] :
      ( ( '#l_lift36310' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7197_017,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift36312' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7197_018,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift36312' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl7206,plain,
    ! [X0: $i,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( X1 @ '#l_lift36310' @ ( sk__5 @ '#l_lift36312' @ X1 ) )
      | ( X1 @ ( sk__1 @ '#l_lift36312' @ X1 ) @ X0 ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl361,zip_derived_cl7181,zip_derived_cl7197,zip_derived_cl7197]) ).

thf(zip_derived_cl7265,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl7193,zip_derived_cl7186,zip_derived_cl7192,zip_derived_cl7188,zip_derived_cl7207,zip_derived_cl7181,zip_derived_cl7217,zip_derived_cl7184,zip_derived_cl7235,zip_derived_cl7195,zip_derived_cl7206]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO269^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QV9TUabxNy true
% 0.14/0.35  % Computer : n013.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 04:22:17 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/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
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.47/0.82  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 66.93/9.21  % Solved by lams/40_c_ic.sh.
% 66.93/9.21  % done 358 iterations in 8.415s
% 66.93/9.21  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 66.93/9.21  % SZS output start Refutation
% See solution above
% 66.93/9.21  
% 66.93/9.21  
% 66.93/9.21  % Terminating...
% 67.25/9.29  % Runner terminated.
% 67.25/9.30  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------