TSTP Solution File: SYO062^4.003 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO062^4.003 : 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.suSZkYy5xR true

% Computer : n015.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 05:49:28 EDT 2023

% Result   : Theorem 10.76s 1.99s
% Output   : Refutation 10.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  133 (  31 unt;  18 typ;   0 def)
%            Number of atoms       :  525 (  27 equ;  26 cnn)
%            Maximal formula atoms :   25 (   4 avg)
%            Number of connectives : 1397 ( 179   ~; 142   |;  20   &; 888   @)
%                                         (   0 <=>;  96  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   82 (  82   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  18 usr;   4 con; 0-3 aty)
%                                         (  72  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  268 ( 123   ^; 145   !;   0   ?; 268   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iatom_type,type,
    iatom: ( $i > $o ) > $i > $o ).

thf(ivalid_type,type,
    ivalid: ( $i > $o ) > $o ).

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

thf(irel_type,type,
    irel: $i > $i > $o ).

thf(mor_type,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf('#sk3_type',type,
    '#sk3': $i > $i ).

thf(ior_type,type,
    ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf('#sk5_type',type,
    '#sk5': $i > $i ).

thf(mbox_s4_type,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

thf(a_type,type,
    a: $i > $o ).

thf('#sk6_type',type,
    '#sk6': $i > $i ).

thf(iand_type,type,
    iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf('#sk4_type',type,
    '#sk4': $i > $i ).

thf(mnot_type,type,
    mnot: ( $i > $o ) > $i > $o ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf('#sk2_type',type,
    '#sk2': $i > $i ).

thf(inot_type,type,
    inot: ( $i > $o ) > $i > $o ).

thf(mand_type,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(ivalid,axiom,
    ( ivalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ) ).

thf('0',plain,
    ( ivalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[ivalid]) ).

thf('1',plain,
    ( ivalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf(ior,axiom,
    ( ior
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( irel @ X @ Y )
         => ( P @ Y ) ) ) ) ).

thf('2',plain,
    ( mbox_s4
    = ( ^ [P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( irel @ X @ Y )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).

thf('3',plain,
    ( mbox_s4
    = ( ^ [V_1: $i > $o,V_2: $i] :
        ! [X4: $i] :
          ( ( irel @ V_2 @ X4 )
         => ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ) ).

thf('4',plain,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('5',plain,
    ( mor
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          | ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf('6',plain,
    ( ior
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[ior,'3','5']) ).

thf('7',plain,
    ( ior
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(iand,axiom,
    ( iand
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ) ).

thf(mand,axiom,
    ( mand
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ) ).

thf('8',plain,
    ( mand
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand]) ).

thf('9',plain,
    ( mand
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf('10',plain,
    ( iand
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ),
    inference(simplify_rw_rule,[status(thm)],[iand,'9']) ).

thf('11',plain,
    ( iand
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(inot,axiom,
    ( inot
    = ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ) ).

thf('12',plain,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('13',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('14',plain,
    ( inot
    = ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[inot,'3','13']) ).

thf('15',plain,
    ( inot
    = ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(iatom,axiom,
    ( iatom
    = ( ^ [P: $i > $o] : P ) ) ).

thf('16',plain,
    ( iatom
    = ( ^ [P: $i > $o] : P ) ),
    inference(simplify_rw_rule,[status(thm)],[iatom]) ).

thf('17',plain,
    ( iatom
    = ( ^ [V_1: $i > $o] : V_1 ) ),
    define([status(thm)]) ).

thf(con,conjecture,
    ivalid @ ( inot @ ( inot @ ( ior @ ( iand @ ( iatom @ a ) @ ( iatom @ b ) ) @ ( ior @ ( inot @ ( iatom @ a ) ) @ ( inot @ ( iatom @ b ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i] :
      ~ ! [X6: $i] :
          ( ( irel @ X4 @ X6 )
         => ~ ! [X8: $i] :
                ( ( irel @ X6 @ X8 )
               => ( ! [X12: $i] :
                      ( ( irel @ X8 @ X12 )
                     => ( ! [X18: $i] :
                            ( ( irel @ X12 @ X18 )
                           => ~ ! [X20: $i] :
                                  ( ( irel @ X18 @ X20 )
                                 => ( b @ X20 ) ) )
                        | ! [X14: $i] :
                            ( ( irel @ X12 @ X14 )
                           => ~ ! [X16: $i] :
                                  ( ( irel @ X14 @ X16 )
                                 => ( a @ X16 ) ) ) ) )
                  | ! [X10: $i] :
                      ( ( irel @ X8 @ X10 )
                     => ( ( b @ X10 )
                        & ( a @ X10 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i] :
        ~ ! [X6: $i] :
            ( ( irel @ X4 @ X6 )
           => ~ ! [X8: $i] :
                  ( ( irel @ X6 @ X8 )
                 => ( ! [X12: $i] :
                        ( ( irel @ X8 @ X12 )
                       => ( ! [X18: $i] :
                              ( ( irel @ X12 @ X18 )
                             => ~ ! [X20: $i] :
                                    ( ( irel @ X18 @ X20 )
                                   => ( b @ X20 ) ) )
                          | ! [X14: $i] :
                              ( ( irel @ X12 @ X14 )
                             => ~ ! [X16: $i] :
                                    ( ( irel @ X14 @ X16 )
                                   => ( a @ X16 ) ) ) ) )
                    | ! [X10: $i] :
                        ( ( irel @ X8 @ X10 )
                       => ( ( b @ X10 )
                          & ( a @ X10 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( (~)
          @ ( !!
            @ ^ [Y1: $i] :
                ( ( irel @ Y0 @ Y1 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y2: $i] :
                        ( ( irel @ Y1 @ Y2 )
                       => ( ( !!
                            @ ^ [Y3: $i] :
                                ( ( irel @ Y2 @ Y3 )
                               => ( ( !!
                                    @ ^ [Y4: $i] :
                                        ( ( irel @ Y3 @ Y4 )
                                       => ( (~)
                                          @ ( !!
                                            @ ^ [Y5: $i] :
                                                ( ( irel @ Y4 @ Y5 )
                                               => ( b @ Y5 ) ) ) ) ) )
                                  | ( !!
                                    @ ^ [Y4: $i] :
                                        ( ( irel @ Y3 @ Y4 )
                                       => ( (~)
                                          @ ( !!
                                            @ ^ [Y5: $i] :
                                                ( ( irel @ Y4 @ Y5 )
                                               => ( a @ Y5 ) ) ) ) ) ) ) ) )
                          | ( !!
                            @ ^ [Y3: $i] :
                                ( ( irel @ Y2 @ Y3 )
                               => ( ( b @ Y3 )
                                  & ( a @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl17,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( irel @ '#sk1' @ Y0 )
       => ( (~)
          @ ( !!
            @ ^ [Y1: $i] :
                ( ( irel @ Y0 @ Y1 )
               => ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( irel @ Y1 @ Y2 )
                       => ( ( !!
                            @ ^ [Y3: $i] :
                                ( ( irel @ Y2 @ Y3 )
                               => ( (~)
                                  @ ( !!
                                    @ ^ [Y4: $i] :
                                        ( ( irel @ Y3 @ Y4 )
                                       => ( b @ Y4 ) ) ) ) ) )
                          | ( !!
                            @ ^ [Y3: $i] :
                                ( ( irel @ Y2 @ Y3 )
                               => ( (~)
                                  @ ( !!
                                    @ ^ [Y4: $i] :
                                        ( ( irel @ Y3 @ Y4 )
                                       => ( a @ Y4 ) ) ) ) ) ) ) ) )
                  | ( !!
                    @ ^ [Y2: $i] :
                        ( ( irel @ Y1 @ Y2 )
                       => ( ( b @ Y2 )
                          & ( a @ Y2 ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i] :
      ( ( irel @ '#sk1' @ X2 )
     => ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ X2 @ Y0 )
             => ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( ( !!
                          @ ^ [Y2: $i] :
                              ( ( irel @ Y1 @ Y2 )
                             => ( (~)
                                @ ( !!
                                  @ ^ [Y3: $i] :
                                      ( ( irel @ Y2 @ Y3 )
                                     => ( b @ Y3 ) ) ) ) ) )
                        | ( !!
                          @ ^ [Y2: $i] :
                              ( ( irel @ Y1 @ Y2 )
                             => ( (~)
                                @ ( !!
                                  @ ^ [Y3: $i] :
                                      ( ( irel @ Y2 @ Y3 )
                                     => ( a @ Y3 ) ) ) ) ) ) ) ) )
                | ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( ( b @ Y1 )
                        & ( a @ Y1 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i] :
      ( ~ ( irel @ '#sk1' @ X2 )
      | ~ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ X2 @ Y0 )
             => ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( ( !!
                          @ ^ [Y2: $i] :
                              ( ( irel @ Y1 @ Y2 )
                             => ( (~)
                                @ ( !!
                                  @ ^ [Y3: $i] :
                                      ( ( irel @ Y2 @ Y3 )
                                     => ( b @ Y3 ) ) ) ) ) )
                        | ( !!
                          @ ^ [Y2: $i] :
                              ( ( irel @ Y1 @ Y2 )
                             => ( (~)
                                @ ( !!
                                  @ ^ [Y3: $i] :
                                      ( ( irel @ Y2 @ Y3 )
                                     => ( a @ Y3 ) ) ) ) ) ) ) ) )
                | ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( ( b @ Y1 )
                        & ( a @ Y1 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i] :
      ( ~ ( ( irel @ X2 @ ( '#sk2' @ X2 ) )
         => ( ( !!
              @ ^ [Y0: $i] :
                  ( ( irel @ ( '#sk2' @ X2 ) @ Y0 )
                 => ( ( !!
                      @ ^ [Y1: $i] :
                          ( ( irel @ Y0 @ Y1 )
                         => ( (~)
                            @ ( !!
                              @ ^ [Y2: $i] :
                                  ( ( irel @ Y1 @ Y2 )
                                 => ( b @ Y2 ) ) ) ) ) )
                    | ( !!
                      @ ^ [Y1: $i] :
                          ( ( irel @ Y0 @ Y1 )
                         => ( (~)
                            @ ( !!
                              @ ^ [Y2: $i] :
                                  ( ( irel @ Y1 @ Y2 )
                                 => ( a @ Y2 ) ) ) ) ) ) ) ) )
            | ( !!
              @ ^ [Y0: $i] :
                  ( ( irel @ ( '#sk2' @ X2 ) @ Y0 )
                 => ( ( b @ Y0 )
                    & ( a @ Y0 ) ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i] :
      ( ( irel @ X2 @ ( '#sk2' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i] :
      ( ~ ( ( !!
            @ ^ [Y0: $i] :
                ( ( irel @ ( '#sk2' @ X2 ) @ Y0 )
               => ( ( !!
                    @ ^ [Y1: $i] :
                        ( ( irel @ Y0 @ Y1 )
                       => ( (~)
                          @ ( !!
                            @ ^ [Y2: $i] :
                                ( ( irel @ Y1 @ Y2 )
                               => ( b @ Y2 ) ) ) ) ) )
                  | ( !!
                    @ ^ [Y1: $i] :
                        ( ( irel @ Y0 @ Y1 )
                       => ( (~)
                          @ ( !!
                            @ ^ [Y2: $i] :
                                ( ( irel @ Y1 @ Y2 )
                               => ( a @ Y2 ) ) ) ) ) ) ) ) )
          | ( !!
            @ ^ [Y0: $i] :
                ( ( irel @ ( '#sk2' @ X2 ) @ Y0 )
               => ( ( b @ Y0 )
                  & ( a @ Y0 ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl23,plain,
    ! [X2: $i] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ ( '#sk2' @ X2 ) @ Y0 )
             => ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( (~)
                        @ ( !!
                          @ ^ [Y2: $i] :
                              ( ( irel @ Y1 @ Y2 )
                             => ( b @ Y2 ) ) ) ) ) )
                | ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( (~)
                        @ ( !!
                          @ ^ [Y2: $i] :
                              ( ( irel @ Y1 @ Y2 )
                             => ( a @ Y2 ) ) ) ) ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl25,plain,
    ! [X2: $i] :
      ( ~ ( ( irel @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) )
         => ( ( !!
              @ ^ [Y0: $i] :
                  ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
                 => ( (~)
                    @ ( !!
                      @ ^ [Y1: $i] :
                          ( ( irel @ Y0 @ Y1 )
                         => ( b @ Y1 ) ) ) ) ) )
            | ( !!
              @ ^ [Y0: $i] :
                  ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
                 => ( (~)
                    @ ( !!
                      @ ^ [Y1: $i] :
                          ( ( irel @ Y0 @ Y1 )
                         => ( a @ Y1 ) ) ) ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl27,plain,
    ! [X2: $i] :
      ( ( irel @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(trans_axiom,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( irel @ Y @ Z )
        & ( irel @ X @ Y ) )
     => ( irel @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( ( irel @ Y1 @ Y2 )
                  & ( irel @ Y0 @ Y1 ) )
               => ( irel @ Y0 @ Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[trans_axiom]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( irel @ Y0 @ Y1 )
                & ( irel @ X2 @ Y0 ) )
             => ( irel @ X2 @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( irel @ X4 @ Y0 )
            & ( irel @ X2 @ X4 ) )
         => ( irel @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( irel @ X4 @ X6 )
        & ( irel @ X2 @ X4 ) )
     => ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( irel @ X4 @ X6 )
          & ( irel @ X2 @ X4 ) )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( irel @ X4 @ X6 )
      | ~ ( irel @ X2 @ X4 )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk3' @ X0 ) )
      | ~ ( irel @ X1 @ ( '#sk2' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl8]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X0 @ ( '#sk3' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl46]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( '#sk3' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl28,plain,
    ! [X2: $i] :
      ( ~ ( ( !!
            @ ^ [Y0: $i] :
                ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y1: $i] :
                        ( ( irel @ Y0 @ Y1 )
                       => ( b @ Y1 ) ) ) ) ) )
          | ( !!
            @ ^ [Y0: $i] :
                ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y1: $i] :
                        ( ( irel @ Y0 @ Y1 )
                       => ( a @ Y1 ) ) ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl32,plain,
    ! [X2: $i] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( a @ Y1 ) ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $i] :
      ( ~ ( ( irel @ ( '#sk3' @ X2 ) @ ( '#sk6' @ X2 ) )
         => ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( ( irel @ ( '#sk6' @ X2 ) @ Y0 )
                 => ( a @ Y0 ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl38,plain,
    ! [X2: $i] :
      ( ( irel @ ( '#sk3' @ X2 ) @ ( '#sk6' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl8_001,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( irel @ X4 @ X6 )
      | ~ ( irel @ X2 @ X4 )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk6' @ X0 ) )
      | ~ ( irel @ X1 @ ( '#sk3' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X0 @ ( '#sk6' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl52]) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( '#sk6' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl149]) ).

thf(zip_derived_cl157_002,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( '#sk6' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl149]) ).

thf(zip_derived_cl21_003,plain,
    ! [X2: $i] :
      ( ( irel @ X2 @ ( '#sk2' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl8_004,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( irel @ X4 @ X6 )
      | ~ ( irel @ X2 @ X4 )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk2' @ X0 ) )
      | ~ ( irel @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).

thf(zip_derived_cl8_005,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( irel @ X4 @ X6 )
      | ~ ( irel @ X2 @ X4 )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( irel @ X1 @ X0 )
      | ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X2 @ ( '#sk2' @ X0 ) )
      | ~ ( irel @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl8]) ).

thf(zip_derived_cl250,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ X1 @ X0 )
      | ( irel @ X1 @ ( '#sk2' @ ( '#sk6' @ X0 ) ) )
      | ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl64]) ).

thf(zip_derived_cl27_006,plain,
    ! [X2: $i] :
      ( ( irel @ ( '#sk2' @ X2 ) @ ( '#sk3' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl31,plain,
    ! [X2: $i] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( b @ Y1 ) ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i] :
      ( ~ ( ( irel @ ( '#sk3' @ X2 ) @ ( '#sk5' @ X2 ) )
         => ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( ( irel @ ( '#sk5' @ X2 ) @ Y0 )
                 => ( b @ Y0 ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl36,plain,
    ! [X2: $i] :
      ( ( irel @ ( '#sk3' @ X2 ) @ ( '#sk5' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl8_007,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( irel @ X4 @ X6 )
      | ~ ( irel @ X2 @ X4 )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ X1 @ ( '#sk3' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl8]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ ( '#sk2' @ X0 ) @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl50]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i] :
      ( ( irel @ ( '#sk2' @ X0 ) @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl8_008,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( irel @ X4 @ X6 )
      | ~ ( irel @ X2 @ X4 )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ X1 @ ( '#sk2' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl8]) ).

thf(zip_derived_cl283,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) )
      | ~ ( irel @ X1 @ X0 )
      | ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk5' @ ( '#sk6' @ X0 ) ) )
      | ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl140]) ).

thf(zip_derived_cl299,plain,
    ! [X0: $i,X1: $i] :
      ( ( irel @ X1 @ ( '#sk5' @ ( '#sk6' @ X0 ) ) )
      | ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ X1 @ X0 )
      | ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl283]) ).

thf(zip_derived_cl75_009,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( '#sk3' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl50_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ X1 @ ( '#sk3' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl8]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X0 @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl50]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl44_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk2' @ X0 ) )
      | ~ ( irel @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).

thf(zip_derived_cl24,plain,
    ! [X2: $i] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ ( '#sk2' @ X2 ) @ Y0 )
             => ( ( b @ Y0 )
                & ( a @ Y0 ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl26,plain,
    ! [X2: $i] :
      ( ~ ( ( irel @ ( '#sk2' @ X2 ) @ ( '#sk4' @ X2 ) )
         => ( ( b @ ( '#sk4' @ X2 ) )
            & ( a @ ( '#sk4' @ X2 ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl29,plain,
    ! [X2: $i] :
      ( ( irel @ ( '#sk2' @ X2 ) @ ( '#sk4' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl8_012,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( irel @ X4 @ X6 )
      | ~ ( irel @ X2 @ X4 )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk4' @ X0 ) )
      | ~ ( irel @ X1 @ ( '#sk2' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl8]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ X1 @ X0 )
      | ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk4' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl48]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i] :
      ( ( irel @ X1 @ ( '#sk4' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl39,plain,
    ! [X2: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( irel @ ( '#sk6' @ X2 ) @ Y0 )
           => ( a @ Y0 ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl41,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( irel @ ( '#sk6' @ X2 ) @ X4 )
       => ( a @ X4 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl43,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( irel @ ( '#sk6' @ X2 ) @ X4 )
      | ( a @ X4 )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ ( '#sk6' @ X1 ) @ X0 )
      | ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ '#sk1' @ X1 )
      | ( a @ ( '#sk4' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl43]) ).

thf(zip_derived_cl452,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) )
      | ( a @ ( '#sk4' @ ( '#sk5' @ ( '#sk6' @ X0 ) ) ) )
      | ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ '#sk1' @ ( '#sk5' @ ( '#sk6' @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl114]) ).

thf(zip_derived_cl30,plain,
    ! [X2: $i] :
      ( ~ ( ( b @ ( '#sk4' @ X2 ) )
          & ( a @ ( '#sk4' @ X2 ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl33,plain,
    ! [X2: $i] :
      ( ~ ( b @ ( '#sk4' @ X2 ) )
      | ~ ( a @ ( '#sk4' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl21_013,plain,
    ! [X2: $i] :
      ( ( irel @ X2 @ ( '#sk2' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl48_014,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk4' @ X0 ) )
      | ~ ( irel @ X1 @ ( '#sk2' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl8]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X0 @ ( '#sk4' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl48]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( '#sk4' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl37,plain,
    ! [X2: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( irel @ ( '#sk5' @ X2 ) @ Y0 )
           => ( b @ Y0 ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl40,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( irel @ ( '#sk5' @ X2 ) @ X4 )
       => ( b @ X4 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl42,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( irel @ ( '#sk5' @ X2 ) @ X4 )
      | ( b @ X4 )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 )
      | ( b @ ( '#sk4' @ ( '#sk5' @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl42]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ ( '#sk5' @ X0 ) )
      | ~ ( a @ ( '#sk4' @ ( '#sk5' @ X0 ) ) )
      | ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ '#sk1' @ ( '#sk5' @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl101]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ~ ( a @ ( '#sk4' @ ( '#sk5' @ X0 ) ) )
      | ~ ( irel @ '#sk1' @ ( '#sk5' @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl3711,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ ( '#sk5' @ ( '#sk6' @ X0 ) ) )
      | ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl452,zip_derived_cl110]) ).

thf(zip_derived_cl3714,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl3711]) ).

thf(zip_derived_cl3746,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ '#sk1' @ ( '#sk6' @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3714]) ).

thf(zip_derived_cl3760,plain,
    ( ~ ( irel @ '#sk1' @ '#sk1' )
    | ~ ( irel @ '#sk1' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl3746]) ).

thf(refl_axiom,axiom,
    ! [X: $i] : ( irel @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) ),
    inference(cnf,[status(esa)],[refl_axiom]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] : ( irel @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3_015,plain,
    ! [X2: $i] : ( irel @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3783,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3760,zip_derived_cl3,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO062^4.003 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.suSZkYy5xR true
% 0.14/0.35  % Computer : n015.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 04:40:22 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
% 0.14/0.35  % Running in HO mode
% 0.22/0.62  % Total configuration time : 828
% 0.22/0.62  % Estimated wc time : 1656
% 0.22/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.29/0.86  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 10.76/1.99  % Solved by lams/35_full_unif4.sh.
% 10.76/1.99  % done 395 iterations in 1.264s
% 10.76/1.99  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.76/1.99  % SZS output start Refutation
% See solution above
% 10.76/1.99  
% 10.76/1.99  
% 10.76/1.99  % Terminating...
% 10.76/2.04  % Runner terminated.
% 10.76/2.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------