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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NLP266^4 : TPTP v9.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6uOyBiy9Qk true

% Computer : n006.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 04:45:42 PM UTC 2025

% Result   : Theorem 0.56s 0.94s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   81 (  31 unt;   0 typ;   0 def)
%            Number of atoms       :  294 (  18 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives : 1286 ( 126   ~; 124   |;  13   &;1001   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   8 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;   6 con; 0-4 aty)
%            Number of variables   :  209 (  51   ^; 144   !;  14   ?; 209   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mworld_type,type,
    mworld: $tType ).

thf(in_type,type,
    in: $i > $i > $i > mworld > $o ).

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

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

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

thf(sk__8_type,type,
    sk__8: $i > $i > mworld ).

thf(sk__10_type,type,
    sk__10: $i > $i > $i > $i > $i ).

thf(mbox_type,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(string_type,type,
    string: $i > mworld > $o ).

thf(number_type,type,
    number: $i > $i > mworld > $o ).

thf(mactual_type,type,
    mactual: mworld ).

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

thf(sk__7_type,type,
    sk__7: mworld ).

thf(mforall_di_type,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(userid_type,type,
    userid: $i > $i > mworld > $o ).

thf(sk__9_type,type,
    sk__9: $i > $i > $i > $i > mworld ).

thf(entry_box_type,type,
    entry_box: $i > mworld > $o ).

thf(sk__6_type,type,
    sk__6: $i > $i > $i > mworld > $i ).

thf(one_type,type,
    one: $i ).

thf(mlocal_type,type,
    mlocal: ( mworld > $o ) > $o ).

thf(mexists_di_type,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(do_type,type,
    do: $i > $i > $i > mworld > $o ).

thf(mrel_type,type,
    mrel: mworld > mworld > $o ).

thf(u_type,type,
    u: $i ).

thf(mexists_di_def,axiom,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] : ( A @ X @ W ) ) ) ).

thf('0',plain,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] : ( A @ X @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).

thf('1',plain,
    ( mexists_di
    = ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
        ? [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ) ).

thf('2',plain,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).

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

thf(mand_def,axiom,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ) ).

thf('4',plain,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand_def]) ).

thf('5',plain,
    ( mand
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).

thf('6',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('7',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(ax1,axiom,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [I: $i] : ( mbox @ ( mand @ ( userid @ u @ I ) @ ( string @ I ) ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ? [X6: $i] :
        ! [X8: mworld] :
          ( ( mrel @ X4 @ X8 )
         => ( ( userid @ u @ X6 @ X8 )
            & ( string @ X6 @ X8 ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: mworld,X1: mworld] :
      ( ~ ( mrel @ X0 @ X1 )
      | ( string @ ( sk__4 @ X0 ) @ X1 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax2,axiom,
    ( mlocal
    @ ( mexists_di
      @ ^ [B: $i] : ( mbox @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) ) ).

thf(zf_stmt_1,axiom,
    ? [X4: $i] :
    ! [X6: mworld] :
      ( ( mrel @ mactual @ X6 )
     => ( ( entry_box @ X4 @ X6 )
        & ( number @ X4 @ one @ X6 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: mworld] :
      ( ( entry_box @ sk__5 @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(mforall_di_def,axiom,
    ( mforall_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ! [X: $i] : ( A @ X @ W ) ) ) ).

thf('8',plain,
    ( mforall_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ! [X: $i] : ( A @ X @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).

thf('9',plain,
    ( mforall_di
    = ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
        ! [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mimplies_def,axiom,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ) ).

thf('10',plain,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).

thf('11',plain,
    ( mimplies
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
         => ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(con,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [I: $i] :
            ( mexists_di
            @ ^ [B: $i] :
                ( mexists_di
                @ ^ [A: $i] :
                    ( mexists_di
                    @ ^ [S: $i] :
                        ( mand @ ( mbox @ ( mand @ ( userid @ u @ I ) @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_2,conjecture,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ? [X6: $i,X8: $i,X10: $i,X12: $i] :
          ( ! [X14: mworld] :
              ( ( mrel @ X4 @ X14 )
             => ( ( userid @ u @ X6 @ X14 )
                & ( entry_box @ X8 @ X14 )
                & ( number @ X8 @ one @ X14 ) ) )
          & ! [X16: mworld] :
              ( ( mrel @ X4 @ X16 )
             => ! [X18: $i] :
                  ( ( do @ X12 @ X10 @ X18 @ X16 )
                 => ( in @ X6 @ X8 @ X18 @ X16 ) ) ) ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ! [X4: mworld] :
        ( ( mrel @ mactual @ X4 )
       => ? [X6: $i,X8: $i,X10: $i,X12: $i] :
            ( ! [X14: mworld] :
                ( ( mrel @ X4 @ X14 )
               => ( ( userid @ u @ X6 @ X14 )
                  & ( entry_box @ X8 @ X14 )
                  & ( number @ X8 @ one @ X14 ) ) )
            & ! [X16: mworld] :
                ( ( mrel @ X4 @ X16 )
               => ! [X18: $i] :
                    ( ( do @ X12 @ X10 @ X18 @ X16 )
                   => ( in @ X6 @ X8 @ X18 @ X16 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7,plain,
    mrel @ mactual @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: mworld,X1: mworld] :
      ( ~ ( mrel @ X0 @ X1 )
      | ( string @ ( sk__4 @ X0 ) @ X1 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( mrel @ sk__7 @ ( sk__8 @ X0 @ X1 ) )
      | ( mrel @ sk__7 @ ( sk__9 @ X2 @ X3 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( mrel @ sk__7 @ ( sk__8 @ X0 @ X1 ) )
      | ( do @ X2 @ X3 @ ( sk__10 @ X2 @ X3 @ X0 @ X1 ) @ ( sk__9 @ X2 @ X3 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(ax3,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [S: $i] :
            ( mforall_di
            @ ^ [I: $i] :
                ( mforall_di
                @ ^ [B: $i] :
                    ( mimplies @ ( mand @ ( string @ I ) @ ( entry_box @ B ) )
                    @ ( mexists_di
                      @ ^ [A: $i] :
                          ( mbox
                          @ ( mforall_di
                            @ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_4,axiom,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ! [X6: $i,X8: $i,X10: $i] :
          ( ( ( string @ X8 @ X4 )
            & ( entry_box @ X10 @ X4 ) )
         => ? [X12: $i] :
            ! [X14: mworld] :
              ( ( mrel @ X4 @ X14 )
             => ! [X16: $i] :
                  ( ( do @ X6 @ X12 @ X16 @ X14 )
                 => ( in @ X8 @ X10 @ X16 @ X14 ) ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( mrel @ X0 @ X1 )
      | ( in @ X2 @ X3 @ X4 @ X1 )
      | ~ ( do @ X5 @ ( sk__6 @ X3 @ X2 @ X5 @ X0 ) @ X4 @ X1 )
      | ~ ( entry_box @ X3 @ X0 )
      | ~ ( string @ X2 @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: mworld,X3: $i,X4: $i,X5: $i] :
      ( ( mrel @ sk__7 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( mrel @ mactual @ X2 )
      | ~ ( string @ X4 @ X2 )
      | ~ ( entry_box @ X5 @ X2 )
      | ( in @ X4 @ X5 @ ( sk__10 @ X3 @ ( sk__6 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 ) @ ( sk__9 @ X3 @ ( sk__6 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 ) )
      | ~ ( mrel @ X2 @ ( sk__9 @ X3 @ ( sk__6 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).

thf(zip_derived_cl285,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( mrel @ sk__7 @ ( sk__8 @ X1 @ X0 ) )
      | ( in @ X3 @ X4 @ ( sk__10 @ X2 @ ( sk__6 @ X4 @ X3 @ X2 @ sk__7 ) @ X1 @ X0 ) @ ( sk__9 @ X2 @ ( sk__6 @ X4 @ X3 @ X2 @ sk__7 ) @ X1 @ X0 ) )
      | ~ ( entry_box @ X4 @ sk__7 )
      | ~ ( string @ X3 @ sk__7 )
      | ~ ( mrel @ mactual @ sk__7 )
      | ( mrel @ sk__7 @ ( sk__8 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl70]) ).

thf(zip_derived_cl7_002,plain,
    mrel @ mactual @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( mrel @ sk__7 @ ( sk__8 @ X1 @ X0 ) )
      | ( in @ X3 @ X4 @ ( sk__10 @ X2 @ ( sk__6 @ X4 @ X3 @ X2 @ sk__7 ) @ X1 @ X0 ) @ ( sk__9 @ X2 @ ( sk__6 @ X4 @ X3 @ X2 @ sk__7 ) @ X1 @ X0 ) )
      | ~ ( entry_box @ X4 @ sk__7 )
      | ~ ( string @ X3 @ sk__7 )
      | ( mrel @ sk__7 @ ( sk__8 @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl7]) ).

thf(zip_derived_cl306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( string @ X3 @ sk__7 )
      | ~ ( entry_box @ X4 @ sk__7 )
      | ( in @ X3 @ X4 @ ( sk__10 @ X2 @ ( sk__6 @ X4 @ X3 @ X2 @ sk__7 ) @ X1 @ X0 ) @ ( sk__9 @ X2 @ ( sk__6 @ X4 @ X3 @ X2 @ sk__7 ) @ X1 @ X0 ) )
      | ( mrel @ sk__7 @ ( sk__8 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl305]) ).

thf(zip_derived_cl326,plain,
    ! [X0: mworld,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( mrel @ mactual @ X0 )
      | ~ ( mrel @ X0 @ sk__7 )
      | ( mrel @ sk__7 @ ( sk__8 @ X2 @ X1 ) )
      | ( in @ ( sk__4 @ X0 ) @ X4 @ ( sk__10 @ X3 @ ( sk__6 @ X4 @ ( sk__4 @ X0 ) @ X3 @ sk__7 ) @ X2 @ X1 ) @ ( sk__9 @ X3 @ ( sk__6 @ X4 @ ( sk__4 @ X0 ) @ X3 @ sk__7 ) @ X2 @ X1 ) )
      | ~ ( entry_box @ X4 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl306]) ).

thf(zip_derived_cl335,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( entry_box @ X0 @ sk__7 )
      | ( in @ ( sk__4 @ sk__7 ) @ X0 @ ( sk__10 @ X3 @ ( sk__6 @ X0 @ ( sk__4 @ sk__7 ) @ X3 @ sk__7 ) @ X2 @ X1 ) @ ( sk__9 @ X3 @ ( sk__6 @ X0 @ ( sk__4 @ sk__7 ) @ X3 @ sk__7 ) @ X2 @ X1 ) )
      | ( mrel @ sk__7 @ ( sk__8 @ X2 @ X1 ) )
      | ~ ( mrel @ sk__7 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl326]) ).

thf(mrel_reflexive,axiom,
    ! [W: mworld] : ( mrel @ W @ W ) ).

thf(zip_derived_cl0,plain,
    ! [X0: mworld] : ( mrel @ X0 @ X0 ),
    inference(cnf,[status(esa)],[mrel_reflexive]) ).

thf(zip_derived_cl344,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( entry_box @ X0 @ sk__7 )
      | ( in @ ( sk__4 @ sk__7 ) @ X0 @ ( sk__10 @ X3 @ ( sk__6 @ X0 @ ( sk__4 @ sk__7 ) @ X3 @ sk__7 ) @ X2 @ X1 ) @ ( sk__9 @ X3 @ ( sk__6 @ X0 @ ( sk__4 @ sk__7 ) @ X3 @ sk__7 ) @ X2 @ X1 ) )
      | ( mrel @ sk__7 @ ( sk__8 @ X2 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl0]) ).

thf(zip_derived_cl348,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( mrel @ mactual @ sk__7 )
      | ( mrel @ sk__7 @ ( sk__8 @ X1 @ X0 ) )
      | ( in @ ( sk__4 @ sk__7 ) @ sk__5 @ ( sk__10 @ X2 @ ( sk__6 @ sk__5 @ ( sk__4 @ sk__7 ) @ X2 @ sk__7 ) @ X1 @ X0 ) @ ( sk__9 @ X2 @ ( sk__6 @ sk__5 @ ( sk__4 @ sk__7 ) @ X2 @ sk__7 ) @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl344]) ).

thf(zip_derived_cl7_003,plain,
    mrel @ mactual @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl350,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mrel @ sk__7 @ ( sk__8 @ X1 @ X0 ) )
      | ( in @ ( sk__4 @ sk__7 ) @ sk__5 @ ( sk__10 @ X2 @ ( sk__6 @ sk__5 @ ( sk__4 @ sk__7 ) @ X2 @ sk__7 ) @ X1 @ X0 ) @ ( sk__9 @ X2 @ ( sk__6 @ sk__5 @ ( sk__4 @ sk__7 ) @ X2 @ sk__7 ) @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl348,zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( mrel @ sk__7 @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( in @ X1 @ X0 @ ( sk__10 @ X2 @ X3 @ X0 @ X1 ) @ ( sk__9 @ X2 @ X3 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl356,plain,
    ( ( mrel @ sk__7 @ ( sk__8 @ sk__5 @ ( sk__4 @ sk__7 ) ) )
    | ( mrel @ sk__7 @ ( sk__8 @ sk__5 @ ( sk__4 @ sk__7 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl12]) ).

thf(zip_derived_cl360,plain,
    mrel @ sk__7 @ ( sk__8 @ sk__5 @ ( sk__4 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl356]) ).

thf(zip_derived_cl3,plain,
    ! [X0: mworld,X1: mworld] :
      ( ~ ( mrel @ X0 @ X1 )
      | ( userid @ u @ ( sk__4 @ X0 ) @ X1 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_004,plain,
    ! [X0: mworld] :
      ( ( entry_box @ sk__5 @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: mworld] :
      ( ( number @ sk__5 @ one @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( number @ X0 @ one @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( entry_box @ X0 @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( userid @ u @ X1 @ ( sk__8 @ X0 @ X1 ) )
      | ( mrel @ sk__7 @ ( sk__9 @ X2 @ X3 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( number @ X0 @ one @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( entry_box @ X0 @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( userid @ u @ X1 @ ( sk__8 @ X0 @ X1 ) )
      | ( do @ X2 @ X3 @ ( sk__10 @ X2 @ X3 @ X0 @ X1 ) @ ( sk__9 @ X2 @ X3 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl6_005,plain,
    ! [X0: mworld,X1: mworld,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( mrel @ X0 @ X1 )
      | ( in @ X2 @ X3 @ X4 @ X1 )
      | ~ ( do @ X5 @ ( sk__6 @ X3 @ X2 @ X5 @ X0 ) @ X4 @ X1 )
      | ~ ( entry_box @ X3 @ X0 )
      | ~ ( string @ X2 @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: mworld,X3: $i,X4: $i,X5: $i] :
      ( ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( mrel @ mactual @ X2 )
      | ~ ( string @ X4 @ X2 )
      | ~ ( entry_box @ X5 @ X2 )
      | ( in @ X4 @ X5 @ ( sk__10 @ X3 @ ( sk__6 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 ) @ ( sk__9 @ X3 @ ( sk__6 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 ) )
      | ~ ( mrel @ X2 @ ( sk__9 @ X3 @ ( sk__6 @ X5 @ X4 @ X3 @ X2 ) @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( number @ X0 @ one @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( entry_box @ X0 @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( userid @ u @ X1 @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( in @ X1 @ X0 @ ( sk__10 @ X2 @ X3 @ X0 @ X1 ) @ ( sk__9 @ X2 @ X3 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i,X1: $i,X2: mworld,X3: $i] :
      ( ~ ( mrel @ X2 @ ( sk__9 @ X3 @ ( sk__6 @ X1 @ X0 @ X3 @ X2 ) @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ X2 )
      | ~ ( string @ X0 @ X2 )
      | ~ ( mrel @ mactual @ X2 )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl9]) ).

thf(zip_derived_cl160,plain,
    ! [X0: $i,X1: $i,X2: mworld,X3: $i] :
      ( ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( mrel @ mactual @ X2 )
      | ~ ( string @ X0 @ X2 )
      | ~ ( entry_box @ X1 @ X2 )
      | ~ ( mrel @ X2 @ ( sk__9 @ X3 @ ( sk__6 @ X1 @ X0 @ X3 @ X2 ) @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl157]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ sk__7 )
      | ~ ( string @ X0 @ sk__7 )
      | ~ ( mrel @ mactual @ sk__7 )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl160]) ).

thf(zip_derived_cl7_006,plain,
    mrel @ mactual @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ sk__7 )
      | ~ ( string @ X0 @ sk__7 )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl7]) ).

thf(zip_derived_cl189,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( string @ X0 @ sk__7 )
      | ~ ( entry_box @ X1 @ sk__7 )
      | ~ ( number @ X1 @ one @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( entry_box @ X1 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl188]) ).

thf(zip_derived_cl214,plain,
    ! [X0: $i] :
      ( ~ ( mrel @ mactual @ ( sk__8 @ sk__5 @ X0 ) )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ sk__5 @ X0 ) )
      | ~ ( entry_box @ sk__5 @ ( sk__8 @ sk__5 @ X0 ) )
      | ~ ( entry_box @ sk__5 @ sk__7 )
      | ~ ( string @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl189]) ).

thf(zip_derived_cl4_007,plain,
    ! [X0: mworld] :
      ( ( entry_box @ sk__5 @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl218,plain,
    ! [X0: $i] :
      ( ~ ( string @ X0 @ sk__7 )
      | ~ ( entry_box @ sk__5 @ sk__7 )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ sk__5 @ X0 ) )
      | ~ ( mrel @ mactual @ ( sk__8 @ sk__5 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl214,zip_derived_cl4]) ).

thf(zip_derived_cl219,plain,
    ! [X0: $i] :
      ( ~ ( mrel @ mactual @ sk__7 )
      | ~ ( mrel @ mactual @ ( sk__8 @ sk__5 @ X0 ) )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ sk__5 @ X0 ) )
      | ~ ( string @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl218]) ).

thf(zip_derived_cl7_008,plain,
    mrel @ mactual @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i] :
      ( ~ ( mrel @ mactual @ ( sk__8 @ sk__5 @ X0 ) )
      | ~ ( userid @ u @ X0 @ ( sk__8 @ sk__5 @ X0 ) )
      | ~ ( string @ X0 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl7]) ).

thf(zip_derived_cl223,plain,
    ! [X0: mworld] :
      ( ~ ( mrel @ mactual @ X0 )
      | ~ ( mrel @ X0 @ ( sk__8 @ sk__5 @ ( sk__4 @ X0 ) ) )
      | ~ ( string @ ( sk__4 @ X0 ) @ sk__7 )
      | ~ ( mrel @ mactual @ ( sk__8 @ sk__5 @ ( sk__4 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl221]) ).

thf(mrel_transitive,axiom,
    ! [W: mworld,V: mworld,U: mworld] :
      ( ( ( mrel @ W @ V )
        & ( mrel @ V @ U ) )
     => ( mrel @ W @ U ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: mworld,X1: mworld,X2: mworld] :
      ( ~ ( mrel @ X0 @ X1 )
      | ~ ( mrel @ X1 @ X2 )
      | ( mrel @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mrel_transitive]) ).

thf(zip_derived_cl227,plain,
    ! [X0: mworld] :
      ( ~ ( string @ ( sk__4 @ X0 ) @ sk__7 )
      | ~ ( mrel @ X0 @ ( sk__8 @ sk__5 @ ( sk__4 @ X0 ) ) )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl223,zip_derived_cl1]) ).

thf(zip_derived_cl364,plain,
    ( ~ ( mrel @ mactual @ sk__7 )
    | ~ ( string @ ( sk__4 @ sk__7 ) @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl227]) ).

thf(zip_derived_cl7_009,plain,
    mrel @ mactual @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl373,plain,
    ~ ( string @ ( sk__4 @ sk__7 ) @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl7]) ).

thf(zip_derived_cl380,plain,
    ( ~ ( mrel @ mactual @ sk__7 )
    | ~ ( mrel @ sk__7 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl373]) ).

thf(zip_derived_cl7_010,plain,
    mrel @ mactual @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: mworld] : ( mrel @ X0 @ X0 ),
    inference(cnf,[status(esa)],[mrel_reflexive]) ).

thf(zip_derived_cl382,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl380,zip_derived_cl7,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP266^4 : TPTP v9.2.0. Released v8.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6uOyBiy9Qk true
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 11:42:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.50/0.61  % Total configuration time : 828
% 0.50/0.61  % Estimated wc time : 1656
% 0.50/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.94  % Solved by lams/40_c.s.sh.
% 0.56/0.94  % done 171 iterations in 0.201s
% 0.56/0.94  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.94  % SZS output start Refutation
% See solution above
% 0.56/0.94  
% 0.56/0.94  
% 0.56/0.94  % Terminating...
% 1.96/1.03  % Runner terminated.
% 1.96/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------