TSTP Solution File: SEU895^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU895^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a8FMHS77Rt true

% Computer : n004.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 19:18:45 EDT 2023

% Result   : Theorem 1.41s 0.80s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   86 (  16 unt;  10 typ;   0 def)
%            Number of atoms       :  333 ( 109 equ;   0 cnn)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  608 (  92   ~; 128   |;  65   &; 271   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   7 con; 0-2 aty)
%                                         (   0  !!;  52  ??;   0 @@+;   0 @@-)
%            Number of variables   :   81 (  60   ^;  15   !;   6   ?;  81   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

thf('#form3_type',type,
    '#form3': $o ).

thf(x_type,type,
    x: b > $o ).

thf('#_fresh_sk1_type',type,
    '#_fresh_sk1': a ).

thf('#sk5_type',type,
    '#sk5': b ).

thf(f_type,type,
    f: b > a ).

thf(y_type,type,
    y: b > $o ).

thf('#sk2_type',type,
    '#sk2': b ).

thf('#sk4_type',type,
    '#sk4': b ).

thf(cX5202_pme,conjecture,
    ( ( ^ [Xz: a] :
        ? [Xt: b] :
          ( ( ( x @ Xt )
            | ( y @ Xt ) )
          & ( Xz
            = ( f @ Xt ) ) ) )
    = ( ^ [Xz: a] :
          ( ? [Xt: b] :
              ( ( y @ Xt )
              & ( Xz
                = ( f @ Xt ) ) )
          | ? [Xt: b] :
              ( ( x @ Xt )
              & ( Xz
                = ( f @ Xt ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ^ [Xz: a] :
        ? [Xt: b] :
          ( ( ( x @ Xt )
            | ( y @ Xt ) )
          & ( Xz
            = ( f @ Xt ) ) ) )
   != ( ^ [Xz: a] :
          ( ? [Xt: b] :
              ( ( y @ Xt )
              & ( Xz
                = ( f @ Xt ) ) )
          | ? [Xt: b] :
              ( ( x @ Xt )
              & ( Xz
                = ( f @ Xt ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cX5202_pme]) ).

thf(zip_derived_cl0,plain,
    ( ( ^ [Y0: a] :
          ( ??
          @ ^ [Y1: b] :
              ( ( ( x @ Y1 )
                | ( y @ Y1 ) )
              & ( Y0
                = ( f @ Y1 ) ) ) ) )
   != ( ^ [Y0: a] :
          ( ( ??
            @ ^ [Y1: b] :
                ( ( y @ Y1 )
                & ( Y0
                  = ( f @ Y1 ) ) ) )
          | ( ??
            @ ^ [Y1: b] :
                ( ( x @ Y1 )
                & ( Y0
                  = ( f @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( ^ [Y0: a] :
          ( ??
          @ ^ [Y1: b] :
              ( ( ( x @ Y1 )
                | ( y @ Y1 ) )
              & ( Y0
                = ( f @ Y1 ) ) ) )
      @ '#_fresh_sk1' )
   != ( ^ [Y0: a] :
          ( ( ??
            @ ^ [Y1: b] :
                ( ( y @ Y1 )
                & ( Y0
                  = ( f @ Y1 ) ) ) )
          | ( ??
            @ ^ [Y1: b] :
                ( ( x @ Y1 )
                & ( Y0
                  = ( f @ Y1 ) ) ) ) )
      @ '#_fresh_sk1' ) ),
    inference(neg_ext_simpl,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ( ??
      @ ^ [Y0: b] :
          ( ( ( x @ Y0 )
            | ( y @ Y0 ) )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
   != ( ( ??
        @ ^ [Y0: b] :
            ( ( y @ Y0 )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) )
      | ( ??
        @ ^ [Y0: b] :
            ( ( x @ Y0 )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( ??
      @ ^ [Y0: b] :
          ( ( ( x @ Y0 )
            | ( y @ Y0 ) )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( ( ( ( x @ '#sk2' )
        | ( y @ '#sk2' ) )
      & ( '#_fresh_sk1'
        = ( f @ '#sk2' ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ( ( x @ '#sk2' )
    | ( y @ '#sk2' )
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl6_001,plain,
    ( ( x @ '#sk2' )
    | ( y @ '#sk2' )
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ( ~ '#form3'
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl10,plain,
    ( '#form3'
    | ( x @ '#sk2' )
    | ( y @ '#sk2' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ( ( x @ '#sk2' )
    | ( y @ '#sk2' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl8_002,plain,
    ( ~ '#form3'
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl9,plain,
    ( ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    ( ( ( y @ '#sk4' )
      & ( '#_fresh_sk1'
        = ( f @ '#sk4' ) ) )
    | ~ '#form3'
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    ( ( '#_fresh_sk1'
      = ( f @ '#sk4' ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl18,plain,
    ( ( '#_fresh_sk1'
      = ( f @ '#sk4' ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ~ '#form3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl19,plain,
    ( ( ( x @ '#sk5' )
      & ( '#_fresh_sk1'
        = ( f @ '#sk5' ) ) )
    | ~ '#form3'
    | ( '#_fresh_sk1'
      = ( f @ '#sk4' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl23,plain,
    ( ( '#_fresh_sk1'
      = ( f @ '#sk5' ) )
    | ( '#_fresh_sk1'
      = ( f @ '#sk4' ) )
    | ~ '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl25,plain,
    ( ( '#_fresh_sk1'
      = ( f @ '#sk5' ) )
    | ( '#_fresh_sk1'
      = ( f @ '#sk4' ) )
    | ~ '#form3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl22,plain,
    ( ( x @ '#sk5' )
    | ( '#_fresh_sk1'
      = ( f @ '#sk4' ) )
    | ~ '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl2_003,plain,
    ( ( ??
      @ ^ [Y0: b] :
          ( ( ( x @ Y0 )
            | ( y @ Y0 ) )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
   != ( ( ??
        @ ^ [Y0: b] :
            ( ( y @ Y0 )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) )
      | ( ??
        @ ^ [Y0: b] :
            ( ( x @ Y0 )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( ??
        @ ^ [Y0: b] :
            ( ( ( x @ Y0 )
              | ( y @ Y0 ) )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: b] :
              ( ( y @ Y0 )
              & ( '#_fresh_sk1'
                = ( f @ Y0 ) ) ) )
        | ( ??
          @ ^ [Y0: b] :
              ( ( x @ Y0 )
              & ( '#_fresh_sk1'
                = ( f @ Y0 ) ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4_004,plain,
    ( ~ ( ??
        @ ^ [Y0: b] :
            ( ( ( x @ Y0 )
              | ( y @ Y0 ) )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: b] :
              ( ( y @ Y0 )
              & ( '#_fresh_sk1'
                = ( f @ Y0 ) ) ) )
        | ( ??
          @ ^ [Y0: b] :
              ( ( x @ Y0 )
              & ( '#_fresh_sk1'
                = ( f @ Y0 ) ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl26,plain,
    ( '#form3'
    | ~ ( ( ??
          @ ^ [Y0: b] :
              ( ( y @ Y0 )
              & ( '#_fresh_sk1'
                = ( f @ Y0 ) ) ) )
        | ( ??
          @ ^ [Y0: b] :
              ( ( x @ Y0 )
              & ( '#_fresh_sk1'
                = ( f @ Y0 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl8_005,plain,
    ( ~ '#form3'
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl29,plain,
    ( ~ '#form3'
    | ~ ( ??
        @ ^ [Y0: b] :
            ( ( ( x @ Y0 )
              | ( y @ Y0 ) )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl4,zip_derived_cl26,zip_derived_cl8]) ).

thf(zip_derived_cl30,plain,
    ! [X2: b] :
      ( ~ ( ( ( x @ X2 )
            | ( y @ X2 ) )
          & ( '#_fresh_sk1'
            = ( f @ X2 ) ) )
      | ~ '#form3' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl33,plain,
    ! [X2: b] :
      ( ~ ( ( x @ X2 )
          | ( y @ X2 ) )
      | ( '#_fresh_sk1'
       != ( f @ X2 ) )
      | ~ '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl36,plain,
    ! [X2: b] :
      ( ~ ( ( x @ X2 )
          | ( y @ X2 ) )
      | ( '#_fresh_sk1'
       != ( f @ X2 ) )
      | ~ '#form3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl37,plain,
    ! [X2: b] :
      ( ~ ( x @ X2 )
      | ~ '#form3'
      | ( '#_fresh_sk1'
       != ( f @ X2 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl41,plain,
    ( ~ '#form3'
    | ( '#_fresh_sk1'
      = ( f @ '#sk4' ) )
    | ( '#_fresh_sk1'
     != ( f @ '#sk5' ) )
    | ~ '#form3' ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl37]) ).

thf(zip_derived_cl47,plain,
    ( ( '#_fresh_sk1'
     != ( f @ '#sk5' ) )
    | ( '#_fresh_sk1'
      = ( f @ '#sk4' ) )
    | ~ '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl62,plain,
    ( ~ '#form3'
    | ( '#_fresh_sk1'
      = ( f @ '#sk4' ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl25,zip_derived_cl47]) ).

thf(zip_derived_cl26_006,plain,
    ( '#form3'
    | ~ ( ( ??
          @ ^ [Y0: b] :
              ( ( y @ Y0 )
              & ( '#_fresh_sk1'
                = ( f @ Y0 ) ) ) )
        | ( ??
          @ ^ [Y0: b] :
              ( ( x @ Y0 )
              & ( '#_fresh_sk1'
                = ( f @ Y0 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl27,plain,
    ( ~ ( ??
        @ ^ [Y0: b] :
            ( ( y @ Y0 )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl31,plain,
    ! [X2: b] :
      ( ~ ( ( y @ X2 )
          & ( '#_fresh_sk1'
            = ( f @ X2 ) ) )
      | '#form3' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl34,plain,
    ! [X2: b] :
      ( ~ ( y @ X2 )
      | ( '#_fresh_sk1'
       != ( f @ X2 ) )
      | '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl39,plain,
    ! [X2: b] :
      ( ~ ( y @ X2 )
      | ( '#_fresh_sk1'
       != ( f @ X2 ) )
      | '#form3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl38,plain,
    ! [X2: b] :
      ( ~ ( y @ X2 )
      | ~ '#form3'
      | ( '#_fresh_sk1'
       != ( f @ X2 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl55,plain,
    ! [X2: b] :
      ( ( '#_fresh_sk1'
       != ( f @ X2 ) )
      | ~ ( y @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl38]) ).

thf(zip_derived_cl64,plain,
    ( ( '#_fresh_sk1' != '#_fresh_sk1' )
    | ~ '#form3'
    | ~ ( y @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl55]) ).

thf(zip_derived_cl68,plain,
    ( ~ ( y @ '#sk4' )
    | ~ '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl15,plain,
    ( ( y @ '#sk4' )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl17,plain,
    ( ( ( x @ '#sk5' )
      & ( '#_fresh_sk1'
        = ( f @ '#sk5' ) ) )
    | ~ '#form3'
    | ( y @ '#sk4' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl20,plain,
    ( ( x @ '#sk5' )
    | ( y @ '#sk4' )
    | ~ '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl37_007,plain,
    ! [X2: b] :
      ( ~ ( x @ X2 )
      | ~ '#form3'
      | ( '#_fresh_sk1'
       != ( f @ X2 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl42,plain,
    ( ~ '#form3'
    | ( y @ '#sk4' )
    | ( '#_fresh_sk1'
     != ( f @ '#sk5' ) )
    | ~ '#form3' ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl37]) ).

thf(zip_derived_cl48,plain,
    ( ( '#_fresh_sk1'
     != ( f @ '#sk5' ) )
    | ( y @ '#sk4' )
    | ~ '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl21,plain,
    ( ( '#_fresh_sk1'
      = ( f @ '#sk5' ) )
    | ( y @ '#sk4' )
    | ~ '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl24,plain,
    ( ( '#_fresh_sk1'
      = ( f @ '#sk5' ) )
    | ( y @ '#sk4' )
    | ~ '#form3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl60,plain,
    ( ~ '#form3'
    | ( y @ '#sk4' ) ),
    inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl24]) ).

thf(zip_derived_cl75,plain,
    ~ '#form3',
    inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl60]) ).

thf(zip_derived_cl77,plain,
    ( ( x @ '#sk2' )
    | ( y @ '#sk2' ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl75]) ).

thf(zip_derived_cl7,plain,
    ( ( '#_fresh_sk1'
      = ( f @ '#sk2' ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    ( ( '#_fresh_sk1'
      = ( f @ '#sk2' ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl8_008,plain,
    ( ~ '#form3'
    | ( ??
      @ ^ [Y0: b] :
          ( ( y @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) )
    | ( ??
      @ ^ [Y0: b] :
          ( ( x @ Y0 )
          & ( '#_fresh_sk1'
            = ( f @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl12,plain,
    ( '#form3'
    | ( '#_fresh_sk1'
      = ( f @ '#sk2' ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).

thf(zip_derived_cl55_009,plain,
    ! [X2: b] :
      ( ( '#_fresh_sk1'
       != ( f @ X2 ) )
      | ~ ( y @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl38]) ).

thf(zip_derived_cl56,plain,
    ( ( '#_fresh_sk1' != '#_fresh_sk1' )
    | '#form3'
    | ~ ( y @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl55]) ).

thf(zip_derived_cl58,plain,
    ( ~ ( y @ '#sk2' )
    | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl75_010,plain,
    ~ '#form3',
    inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl60]) ).

thf(zip_derived_cl78,plain,
    ~ ( y @ '#sk2' ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl75]) ).

thf(zip_derived_cl83,plain,
    x @ '#sk2',
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl78]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( ??
        @ ^ [Y0: b] :
            ( ( x @ Y0 )
            & ( '#_fresh_sk1'
              = ( f @ Y0 ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl32,plain,
    ! [X2: b] :
      ( ~ ( ( x @ X2 )
          & ( '#_fresh_sk1'
            = ( f @ X2 ) ) )
      | '#form3' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl35,plain,
    ! [X2: b] :
      ( ~ ( x @ X2 )
      | ( '#_fresh_sk1'
       != ( f @ X2 ) )
      | '#form3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl40,plain,
    ! [X2: b] :
      ( ~ ( x @ X2 )
      | ( '#_fresh_sk1'
       != ( f @ X2 ) )
      | '#form3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl75_011,plain,
    ~ '#form3',
    inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl60]) ).

thf(zip_derived_cl87,plain,
    ! [X2: b] :
      ( ~ ( x @ X2 )
      | ( '#_fresh_sk1'
       != ( f @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl75]) ).

thf(zip_derived_cl88,plain,
    ( '#_fresh_sk1'
   != ( f @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl87]) ).

thf(zip_derived_cl12_012,plain,
    ( '#form3'
    | ( '#_fresh_sk1'
      = ( f @ '#sk2' ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).

thf(zip_derived_cl75_013,plain,
    ~ '#form3',
    inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl60]) ).

thf(zip_derived_cl76,plain,
    ( '#_fresh_sk1'
    = ( f @ '#sk2' ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl75]) ).

thf(zip_derived_cl90,plain,
    '#_fresh_sk1' != '#_fresh_sk1',
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl76]) ).

thf(zip_derived_cl91,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl90]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU895^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a8FMHS77Rt true
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Aug 23 19:53:23 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.07/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.07/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.80  % Solved by lams/20_acsne_simpl.sh.
% 1.41/0.80  % done 30 iterations in 0.024s
% 1.41/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.41/0.80  % SZS output start Refutation
% See solution above
% 1.41/0.80  
% 1.41/0.80  
% 1.41/0.80  % Terminating...
% 1.41/0.85  % Runner terminated.
% 1.41/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------