TSTP Solution File: SEU938^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU938^5 : 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.SmcQach7sM 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 : Thu Aug 31 19:18:55 EDT 2023

% Result   : Theorem 1.46s 0.95s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   44 (  11 unt;   6 typ;   0 def)
%            Number of atoms       :  112 (  26 equ;   1 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  578 (  41   ~;  33   |;  34   &; 353   @)
%                                         (   0 <=>;  65  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  164 ( 164   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   5 con; 0-3 aty)
%                                         (  52  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  195 ( 112   ^;  83   !;   0   ?; 195   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $i ).

thf('#sk32_type',type,
    '#sk32': ( $i > $i ) > ( $i > $i ) > ( $i > $i ) > $o ).

thf(h_type,type,
    h: $i > $i ).

thf('#form86_type',type,
    '#form86': ( $i > $i ) > ( $i > $i ) > $o ).

thf(b_type,type,
    b: $i ).

thf('#sk156_type',type,
    '#sk156': ( $i > $i ) > ( ( $i > $i ) > $o ) > $i > $i ).

thf(cTHM196_pme,conjecture,
    ( ( ! [Xf: $i > $i,Xg: $i > $i] :
          ( ! [Xx: $i] :
              ( ( Xf @ Xx )
              = ( Xg @ Xx ) )
         => ( Xf = Xg ) )
      & ( ( h @ b )
       != a )
      & ( ( h @ a )
        = a ) )
   => ~ ! [Xj: $i > $i,Xk: $i > $i] :
          ( ! [Xp: ( $i > $i ) > $o] :
              ( ( ! [Xj_6: $i > $i] :
                    ( ( Xp @ Xj_6 )
                   => ( Xp
                      @ ^ [Xx: $i] : ( Xj @ ( Xj_6 @ Xx ) ) ) )
                & ( Xp @ Xj ) )
             => ( Xp
                @ ^ [Xx: $i] : ( Xk @ ( Xj @ Xx ) ) ) )
         => ! [Xp: ( $i > $i ) > $o] :
              ( ( ! [Xj_7: $i > $i] :
                    ( ( Xp @ Xj_7 )
                   => ( Xp
                      @ ^ [Xx: $i] : ( Xj @ ( Xj_7 @ Xx ) ) ) )
                & ( Xp @ Xj ) )
             => ( Xp @ Xk ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xf: $i > $i,Xg: $i > $i] :
            ( ! [Xx: $i] :
                ( ( Xf @ Xx )
                = ( Xg @ Xx ) )
           => ( Xf = Xg ) )
        & ( ( h @ b )
         != a )
        & ( ( h @ a )
          = a ) )
     => ~ ! [Xj: $i > $i,Xk: $i > $i] :
            ( ! [Xp: ( $i > $i ) > $o] :
                ( ( ! [Xj_6: $i > $i] :
                      ( ( Xp @ Xj_6 )
                     => ( Xp
                        @ ^ [Xx: $i] : ( Xj @ ( Xj_6 @ Xx ) ) ) )
                  & ( Xp @ Xj ) )
               => ( Xp
                  @ ^ [Xx: $i] : ( Xk @ ( Xj @ Xx ) ) ) )
           => ! [Xp: ( $i > $i ) > $o] :
                ( ( ! [Xj_7: $i > $i] :
                      ( ( Xp @ Xj_7 )
                     => ( Xp
                        @ ^ [Xx: $i] : ( Xj @ ( Xj_7 @ Xx ) ) ) )
                  & ( Xp @ Xj ) )
               => ( Xp @ Xk ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM196_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( !!
          @ ^ [Y0: $i > $i] :
              ( !!
              @ ^ [Y1: $i > $i] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y0 @ Y2 )
                        = ( Y1 @ Y2 ) ) )
                 => ( Y0 = Y1 ) ) ) )
        & ( ( h @ b )
         != a )
        & ( ( h @ a )
          = a ) )
     => ( (~)
        @ ( !!
          @ ^ [Y0: $i > $i] :
              ( !!
              @ ^ [Y1: $i > $i] :
                  ( ( !!
                    @ ^ [Y2: ( $i > $i ) > $o] :
                        ( ( ( !!
                            @ ^ [Y3: $i > $i] :
                                ( ( Y2 @ Y3 )
                               => ( Y2
                                  @ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
                          & ( Y2 @ Y0 ) )
                       => ( Y2
                          @ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
                 => ( !!
                    @ ^ [Y2: ( $i > $i ) > $o] :
                        ( ( ( !!
                            @ ^ [Y3: $i > $i] :
                                ( ( Y2 @ Y3 )
                               => ( Y2
                                  @ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
                          & ( Y2 @ Y0 ) )
                       => ( Y2 @ Y1 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: $i > $i] :
        ( !!
        @ ^ [Y1: $i > $i] :
            ( ( !!
              @ ^ [Y2: ( $i > $i ) > $o] :
                  ( ( ( !!
                      @ ^ [Y3: $i > $i] :
                          ( ( Y2 @ Y3 )
                         => ( Y2
                            @ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
                    & ( Y2 @ Y0 ) )
                 => ( Y2
                    @ ^ [Y3: $i] : ( Y1 @ ( Y0 @ Y3 ) ) ) ) )
           => ( !!
              @ ^ [Y2: ( $i > $i ) > $o] :
                  ( ( ( !!
                      @ ^ [Y3: $i > $i] :
                          ( ( Y2 @ Y3 )
                         => ( Y2
                            @ ^ [Y4: $i] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) )
                    & ( Y2 @ Y0 ) )
                 => ( Y2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $i] :
      ( !!
      @ ^ [Y0: $i > $i] :
          ( ( !!
            @ ^ [Y1: ( $i > $i ) > $o] :
                ( ( ( !!
                    @ ^ [Y2: $i > $i] :
                        ( ( Y1 @ Y2 )
                       => ( Y1
                          @ ^ [Y3: $i] : ( X2 @ ( Y2 @ Y3 ) ) ) ) )
                  & ( Y1 @ X2 ) )
               => ( Y1
                  @ ^ [Y2: $i] : ( Y0 @ ( X2 @ Y2 ) ) ) ) )
         => ( !!
            @ ^ [Y1: ( $i > $i ) > $o] :
                ( ( ( !!
                    @ ^ [Y2: $i > $i] :
                        ( ( Y1 @ Y2 )
                       => ( Y1
                          @ ^ [Y3: $i] : ( X2 @ ( Y2 @ Y3 ) ) ) ) )
                  & ( Y1 @ X2 ) )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0
              @ ^ [Y1: $i] : ( X4 @ ( X2 @ Y1 ) ) ) ) )
     => ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ~ ( !!
          @ ^ [Y0: ( $i > $i ) > $o] :
              ( ( ( !!
                  @ ^ [Y1: $i > $i] :
                      ( ( Y0 @ Y1 )
                     => ( Y0
                        @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
                & ( Y0 @ X2 ) )
             => ( Y0
                @ ^ [Y1: $i] : ( X4 @ ( X2 @ Y1 ) ) ) ) )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ~ ( ( ( !!
              @ ^ [Y0: $i > $i] :
                  ( ( '#sk32' @ X2 @ X4 @ Y0 )
                 => ( '#sk32' @ X2 @ X4
                    @ ^ [Y1: $i] : ( X2 @ ( Y0 @ Y1 ) ) ) ) )
            & ( '#sk32' @ X2 @ X4 @ X2 ) )
         => ( '#sk32' @ X2 @ X4
            @ ^ [Y0: $i] : ( X4 @ ( X2 @ Y0 ) ) ) )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ~ ( '#sk32' @ X2 @ X4
          @ ^ [Y0: $i] : ( X4 @ ( X2 @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl23,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ~ ( '#form86' @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl24,plain,
    ! [X2: $i > $i,X4: $i > $i,X6: ( $i > $i ) > $o] :
      ( ( ( ( !!
            @ ^ [Y0: $i > $i] :
                ( ( X6 @ Y0 )
               => ( X6
                  @ ^ [Y1: $i] : ( X2 @ ( Y0 @ Y1 ) ) ) ) )
          & ( X6 @ X2 ) )
       => ( X6 @ X4 ) )
      | ~ ( '#form86' @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl29,plain,
    ! [X2: $i > $i,X4: $i > $i,X6: ( $i > $i ) > $o] :
      ( ~ ( ( !!
            @ ^ [Y0: $i > $i] :
                ( ( X6 @ Y0 )
               => ( X6
                  @ ^ [Y1: $i] : ( X2 @ ( Y0 @ Y1 ) ) ) ) )
          & ( X6 @ X2 ) )
      | ( X6 @ X4 )
      | ~ ( '#form86' @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl31,plain,
    ! [X2: $i > $i,X4: $i > $i,X6: ( $i > $i ) > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i > $i] :
              ( ( X6 @ Y0 )
             => ( X6
                @ ^ [Y1: $i] : ( X2 @ ( Y0 @ Y1 ) ) ) ) )
      | ~ ( X6 @ X2 )
      | ~ ( '#form86' @ X2 @ X4 )
      | ( X6 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl33,plain,
    ! [X2: $i > $i,X4: $i > $i,X6: ( $i > $i ) > $o] :
      ( ~ ( ( X6 @ ( '#sk156' @ X2 @ X6 ) )
         => ( X6
            @ ^ [Y0: $i] : ( X2 @ ( '#sk156' @ X2 @ X6 @ Y0 ) ) ) )
      | ( X6 @ X4 )
      | ~ ( '#form86' @ X2 @ X4 )
      | ~ ( X6 @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $i > $i,X4: $i > $i,X6: ( $i > $i ) > $o] :
      ( ~ ( X6
          @ ^ [Y0: $i] : ( X2 @ ( '#sk156' @ X2 @ X6 @ Y0 ) ) )
      | ~ ( X6 @ X2 )
      | ~ ( '#form86' @ X2 @ X4 )
      | ( X6 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl45,plain,
    ! [X0: ( $i > $i ) > $o,X1: $i,X2: $i > $i] :
      ( ( X0 @ X2 )
      | ~ ( '#form86'
          @ ^ [Y0: $i] : X1
          @ X2 )
      | ~ ( X0
          @ ^ [Y0: $i] :
              ( ^ [Y1: $i] : X1
              @ ( '#sk156'
                @ ^ [Y1: $i] : X1
                @ X0
                @ Y0 ) ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl52,plain,
    ! [X0: ( $i > $i ) > $o,X1: $i,X2: $i > $i] :
      ( ( X0 @ X2 )
      | ~ ( '#form86'
          @ ^ [Y0: $i] : X1
          @ X2 )
      | ~ ( X0
          @ ^ [Y0: $i] : X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i > $i,X1: $i] :
      ( ~ ( '#form86'
          @ ^ [Y0: $i] : X1
          @ X0 )
      | ( ^ [Y0: $i > $i] :
            ( Y0
            = ( ^ [Y1: $i] : X1 ) )
        @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i > $i,X1: $i] :
      ( ~ ( '#form86'
          @ ^ [Y0: $i] : X1
          @ X0 )
      | ( X0
        = ( ^ [Y0: $i] : X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i > $i,X1: $i] :
      ( ~ ( '#form86'
          @ ^ [Y0: $i] : X1
          @ X0 )
      | ( X0
        = ( ^ [Y0: $i] : X1 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i > $i,X1: $i,X3: $i] :
      ( ~ ( '#form86'
          @ ^ [Y0: $i] : X1
          @ X0 )
      | ( ( X0 @ X3 )
        = ( ^ [Y0: $i] : X1
          @ X3 ) ) ),
    inference(arg_cong_simpl,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i > $i,X1: $i,X3: $i] :
      ( ~ ( '#form86'
          @ ^ [Y0: $i] : X1
          @ X0 )
      | ( ( X0 @ X3 )
        = X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl19_001,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ~ ( '#sk32' @ X2 @ X4
          @ ^ [Y0: $i] : ( X4 @ ( X2 @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl23_002,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ~ ( '#form86' @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl26,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ( '#form86' @ X2 @ X4 )
      | ~ ( '#sk32' @ X2 @ X4
          @ ^ [Y0: $i] : ( X4 @ ( X2 @ Y0 ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl19,zip_derived_cl23]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ( ( !!
          @ ^ [Y0: $i > $i] :
              ( ( '#sk32' @ X2 @ X4 @ Y0 )
             => ( '#sk32' @ X2 @ X4
                @ ^ [Y1: $i] : ( X2 @ ( Y0 @ Y1 ) ) ) ) )
        & ( '#sk32' @ X2 @ X4 @ X2 ) )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ( '#sk32' @ X2 @ X4 @ X2 )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl23_003,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ~ ( '#form86' @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: ( $i > $i ) > $o] :
            ( ( ( !!
                @ ^ [Y1: $i > $i] :
                    ( ( Y0 @ Y1 )
                   => ( Y0
                      @ ^ [Y2: $i] : ( X2 @ ( Y1 @ Y2 ) ) ) ) )
              & ( Y0 @ X2 ) )
           => ( Y0 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl28,plain,
    ! [X2: $i > $i,X4: $i > $i] :
      ( ( '#form86' @ X2 @ X4 )
      | ( '#sk32' @ X2 @ X4 @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl22,zip_derived_cl23]) ).

thf(zip_derived_cl396,plain,
    ! [X0: $i > $i] :
      ( ( '#form86' @ X0
        @ ^ [Y0: $i] : Y0 )
      | ( '#form86' @ X0
        @ ^ [Y0: $i] : Y0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl28]) ).

thf(zip_derived_cl431,plain,
    ! [X0: $i > $i] :
      ( '#form86' @ X0
      @ ^ [Y0: $i] : Y0 ),
    inference(simplify,[status(thm)],[zip_derived_cl396]) ).

thf(zip_derived_cl474,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i] : Y0
        @ X1 )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl431]) ).

thf(zip_derived_cl480,plain,
    ! [X0: $i,X1: $i] : ( X1 = X0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl474]) ).

thf(zip_derived_cl1,plain,
    ( ( !!
      @ ^ [Y0: $i > $i] :
          ( !!
          @ ^ [Y1: $i > $i] :
              ( ( !!
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y2 )
                    = ( Y1 @ Y2 ) ) )
             => ( Y0 = Y1 ) ) ) )
    & ( ( h @ b )
     != a )
    & ( ( h @ a )
      = a ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( ( h @ b )
   != a ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8,plain,
    ( ( h @ b )
   != a ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl493,plain,
    ! [X0: $i] : ( X0 != a ),
    inference('sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl8]) ).

thf(zip_derived_cl505,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl493]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU938^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SmcQach7sM true
% 0.14/0.36  % Computer : n013.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 12:56:32 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/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
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/0.95  % Solved by lams/20_acsne_simpl.sh.
% 1.46/0.95  % done 12 iterations in 0.135s
% 1.46/0.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/0.95  % SZS output start Refutation
% See solution above
% 1.46/0.95  
% 1.46/0.95  
% 1.46/0.95  % Terminating...
% 1.75/1.04  % Runner terminated.
% 1.75/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------