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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO450^4 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NewJ4C5ur3 true

% Computer : n019.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 Oct  2 05:07:31 PM UTC 2025

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   60 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :  325 (  21 equ;  79 cnn)
%            Maximal formula atoms :   33 (   5 avg)
%            Number of connectives :  697 ( 163   ~; 111   |;   0   &; 398   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  13 usr;   4 con; 0-3 aty)
%                                         (  25  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  114 (  61   ^;  53   !;   0   ?; 114   :)

% Comments : 
%------------------------------------------------------------------------------
thf(q_type,type,
    q: $i > $o ).

thf(rel_b_type,type,
    rel_b: $i > $i > $o ).

thf(mreflexive_type,type,
    mreflexive: ( $i > $i > $o ) > $o ).

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

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

thf(mimplies_type,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(p_type,type,
    p: $i > $o ).

thf(mdia_b_type,type,
    mdia_b: ( $i > $o ) > $i > $o ).

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

thf(mbox_b_type,type,
    mbox_b: ( $i > $o ) > $i > $o ).

thf(r_type,type,
    r: $i > $o ).

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

thf(mvalid_type,type,
    mvalid: ( $i > $o ) > $o ).

thf(mreflexive,axiom,
    ( mreflexive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] : ( R @ S @ S ) ) ) ).

thf('0',plain,
    ( mreflexive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] : ( R @ S @ S ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).

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

thf(a1,axiom,
    mreflexive @ rel_b ).

thf(zf_stmt_0,axiom,
    ! [X4: $i] : ( rel_b @ X4 @ X4 ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $i] : ( rel_b @ Y0 @ Y0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(mdia_b,axiom,
    ( mdia_b
    = ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ Phi ) ) ) ) ) ).

thf(mbox_b,axiom,
    ( mbox_b
    = ( ^ [Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ( Phi @ V )
          | ~ ( rel_b @ W @ V ) ) ) ) ).

thf('2',plain,
    ( mbox_b
    = ( ^ [Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ( Phi @ V )
          | ~ ( rel_b @ W @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_b]) ).

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

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

thf('4',plain,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

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

thf('6',plain,
    ( mdia_b
    = ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ Phi ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mdia_b,'3','5']) ).

thf('7',plain,
    ( mdia_b
    = ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ V_1 ) ) ) ) ),
    define([status(thm)]) ).

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

thf('8',plain,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mvalid]) ).

thf('9',plain,
    ( mvalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).

thf(mor,axiom,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ) ).

thf('10',plain,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('11',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('12',plain,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies,'11','5']) ).

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

thf(prove,conjecture,
    mvalid @ ( mimplies @ ( mbox_b @ ( mimplies @ p @ ( mdia_b @ ( mimplies @ q @ r ) ) ) ) @ ( mdia_b @ ( mimplies @ q @ ( mimplies @ ( mbox_b @ p ) @ ( mdia_b @ r ) ) ) ) ) ).

thf(zf_stmt_1,conjecture,
    ! [X4: $i] :
      ( ~ ! [X10: $i] :
            ( ~ ( rel_b @ X4 @ X10 )
            | ~ ( ~ ! [X14: $i] :
                      ( ~ ( rel_b @ X10 @ X14 )
                      | ~ ( r @ X14 ) )
                | ~ ! [X12: $i] :
                      ( ~ ( rel_b @ X10 @ X12 )
                      | ( p @ X12 ) )
                | ~ ( q @ X10 ) ) )
      | ~ ! [X6: $i] :
            ( ~ ( rel_b @ X4 @ X6 )
            | ~ ! [X8: $i] :
                  ( ~ ( rel_b @ X6 @ X8 )
                  | ~ ( ( r @ X8 )
                      | ~ ( q @ X8 ) ) )
            | ~ ( p @ X6 ) ) ) ).

thf(zf_stmt_2,negated_conjecture,
    ~ ! [X4: $i] :
        ( ~ ! [X10: $i] :
              ( ~ ( rel_b @ X4 @ X10 )
              | ~ ( ~ ! [X14: $i] :
                        ( ~ ( rel_b @ X10 @ X14 )
                        | ~ ( r @ X14 ) )
                  | ~ ! [X12: $i] :
                        ( ~ ( rel_b @ X10 @ X12 )
                        | ( p @ X12 ) )
                  | ~ ( q @ X10 ) ) )
        | ~ ! [X6: $i] :
              ( ~ ( rel_b @ X4 @ X6 )
              | ~ ! [X8: $i] :
                    ( ~ ( rel_b @ X6 @ X8 )
                    | ~ ( ( r @ X8 )
                        | ~ ( q @ X8 ) ) )
              | ~ ( p @ X6 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( (~)
            @ ( !!
              @ ^ [Y1: $i] :
                  ( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
                  | ( (~)
                    @ ( ( (~)
                        @ ( !!
                          @ ^ [Y2: $i] :
                              ( ( (~) @ ( rel_b @ Y1 @ Y2 ) )
                              | ( (~) @ ( r @ Y2 ) ) ) ) )
                      | ( (~)
                        @ ( !!
                          @ ^ [Y2: $i] :
                              ( ( (~) @ ( rel_b @ Y1 @ Y2 ) )
                              | ( p @ Y2 ) ) ) )
                      | ( (~) @ ( q @ Y1 ) ) ) ) ) ) )
          | ( (~)
            @ ( !!
              @ ^ [Y1: $i] :
                  ( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
                  | ( (~)
                    @ ( !!
                      @ ^ [Y2: $i] :
                          ( ( (~) @ ( rel_b @ Y1 @ Y2 ) )
                          | ( (~)
                            @ ( ( r @ Y2 )
                              | ( (~) @ ( q @ Y2 ) ) ) ) ) ) )
                  | ( (~) @ ( p @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl11,plain,
    ~ ( ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
              | ( (~)
                @ ( ( (~)
                    @ ( !!
                      @ ^ [Y1: $i] :
                          ( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
                          | ( (~) @ ( r @ Y1 ) ) ) ) )
                  | ( (~)
                    @ ( !!
                      @ ^ [Y1: $i] :
                          ( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
                          | ( p @ Y1 ) ) ) )
                  | ( (~) @ ( q @ Y0 ) ) ) ) ) ) )
      | ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
              | ( (~)
                @ ( !!
                  @ ^ [Y1: $i] :
                      ( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
                      | ( (~)
                        @ ( ( r @ Y1 )
                          | ( (~) @ ( q @ Y1 ) ) ) ) ) ) )
              | ( (~) @ ( p @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
        | ( (~)
          @ ( ( (~)
              @ ( !!
                @ ^ [Y1: $i] :
                    ( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
                    | ( (~) @ ( r @ Y1 ) ) ) ) )
            | ( (~)
              @ ( !!
                @ ^ [Y1: $i] :
                    ( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
                    | ( p @ Y1 ) ) ) )
            | ( (~) @ ( q @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i] :
      ( ( (~) @ ( rel_b @ '#sk1' @ X2 ) )
      | ( (~)
        @ ( ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( ( (~) @ ( rel_b @ X2 @ Y0 ) )
                  | ( (~) @ ( r @ Y0 ) ) ) ) )
          | ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( ( (~) @ ( rel_b @ X2 @ Y0 ) )
                  | ( p @ Y0 ) ) ) )
          | ( (~) @ ( q @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i] :
      ( ~ ( rel_b @ '#sk1' @ X2 )
      | ~ ( ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( ( (~) @ ( rel_b @ X2 @ Y0 ) )
                  | ( (~) @ ( r @ Y0 ) ) ) ) )
          | ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( ( (~) @ ( rel_b @ X2 @ Y0 ) )
                  | ( p @ Y0 ) ) ) )
          | ( (~) @ ( q @ X2 ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( (~) @ ( rel_b @ X2 @ Y0 ) )
            | ( (~) @ ( r @ Y0 ) ) ) )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i,X4: $i] :
      ( ( (~) @ ( rel_b @ X2 @ X4 ) )
      | ( (~) @ ( r @ X4 ) )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl26,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( rel_b @ X2 @ X4 )
      | ~ ( r @ X4 )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ~ ( rel_b @ '#sk1' @ X0 )
      | ~ ( r @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl26]) ).

thf(zip_derived_cl13,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
        | ( (~)
          @ ( !!
            @ ^ [Y1: $i] :
                ( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
                | ( (~)
                  @ ( ( r @ Y1 )
                    | ( (~) @ ( q @ Y1 ) ) ) ) ) ) )
        | ( (~) @ ( p @ Y0 ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i] :
      ( ( (~) @ ( rel_b @ '#sk1' @ X2 ) )
      | ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( (~) @ ( rel_b @ X2 @ Y0 ) )
              | ( (~)
                @ ( ( r @ Y0 )
                  | ( (~) @ ( q @ Y0 ) ) ) ) ) ) )
      | ( (~) @ ( p @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i] :
      ( ~ ( rel_b @ '#sk1' @ X2 )
      | ~ ( !!
          @ ^ [Y0: $i] :
              ( ( (~) @ ( rel_b @ X2 @ Y0 ) )
              | ( (~)
                @ ( ( r @ Y0 )
                  | ( (~) @ ( q @ Y0 ) ) ) ) ) )
      | ~ ( p @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i] :
      ( ~ ( ( (~) @ ( rel_b @ X2 @ ( '#sk2' @ X2 ) ) )
          | ( (~)
            @ ( ( r @ ( '#sk2' @ X2 ) )
              | ( (~) @ ( q @ ( '#sk2' @ X2 ) ) ) ) ) )
      | ~ ( p @ X2 )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ! [X2: $i] :
      ( ( r @ ( '#sk2' @ X2 ) )
      | ( (~) @ ( q @ ( '#sk2' @ X2 ) ) )
      | ~ ( rel_b @ '#sk1' @ X2 )
      | ~ ( p @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl28,plain,
    ! [X2: $i] :
      ( ( r @ ( '#sk2' @ X2 ) )
      | ~ ( q @ ( '#sk2' @ X2 ) )
      | ~ ( p @ X2 )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ~ ( rel_b @ '#sk1' @ ( '#sk2' @ X0 ) )
      | ~ ( rel_b @ '#sk1' @ X0 )
      | ~ ( p @ X0 )
      | ~ ( q @ ( '#sk2' @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl28]) ).

thf(zip_derived_cl3_001,plain,
    ! [X2: $i] : ( rel_b @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( (~) @ ( rel_b @ X2 @ Y0 ) )
            | ( p @ Y0 ) ) )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl23,plain,
    ! [X2: $i,X4: $i] :
      ( ( (~) @ ( rel_b @ X2 @ X4 ) )
      | ( p @ X4 )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl27,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( rel_b @ X2 @ X4 )
      | ( p @ X4 )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ~ ( rel_b @ '#sk1' @ X0 )
      | ( p @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl27]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( q @ ( '#sk2' @ X0 ) )
      | ~ ( rel_b @ '#sk1' @ X0 )
      | ~ ( rel_b @ '#sk1' @ ( '#sk2' @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl35]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i] :
      ( ( q @ X2 )
      | ~ ( rel_b @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ~ ( rel_b @ '#sk1' @ ( '#sk2' @ X0 ) )
      | ~ ( rel_b @ '#sk1' @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl41,zip_derived_cl20]) ).

thf(zip_derived_cl35_002,plain,
    ! [X0: $i] :
      ( ~ ( rel_b @ '#sk1' @ X0 )
      | ( p @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl27]) ).

thf(zip_derived_cl24,plain,
    ! [X2: $i] :
      ( ( rel_b @ X2 @ ( '#sk2' @ X2 ) )
      | ~ ( rel_b @ '#sk1' @ X2 )
      | ~ ( p @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ~ ( rel_b @ '#sk1' @ X0 )
      | ~ ( rel_b @ '#sk1' @ X0 )
      | ( rel_b @ X0 @ ( '#sk2' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl24]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( rel_b @ X0 @ ( '#sk2' @ X0 ) )
      | ~ ( rel_b @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl47,plain,
    ( ~ ( rel_b @ '#sk1' @ '#sk1' )
    | ~ ( rel_b @ '#sk1' @ '#sk1' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).

thf(zip_derived_cl3_003,plain,
    ! [X2: $i] : ( rel_b @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3_004,plain,
    ! [X2: $i] : ( rel_b @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl53,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl3,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO450^4 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NewJ4C5ur3 true
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 18:14:40 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.54/0.65  % Total configuration time : 828
% 0.54/0.65  % Estimated wc time : 1656
% 0.54/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.76  % Solved by lams/35_full_unif4.sh.
% 0.56/0.76  % done 14 iterations in 0.034s
% 0.56/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.76  % SZS output start Refutation
% See solution above
% 0.56/0.76  
% 0.56/0.76  
% 0.56/0.76  % Terminating...
% 0.63/0.83  % Runner terminated.
% 0.63/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------