TSTP Solution File: SYO901^11 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO901^11 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.a43Avl67Om true

% Computer : n012.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 05:53:14 EDT 2023

% Result   : Theorem 1.10s 0.85s
% Output   : Refutation 1.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  105 (  26 unt;  13 typ;   0 def)
%            Number of atoms       :  303 (  16 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  626 (  64   ~;  64   |;   6   &; 376   @)
%                                         (  15 <=>;  61  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   7 con; 0-3 aty)
%                                         (  40  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  119 (  67   ^;  52   !;   0   ?; 119   :)

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

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

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

thf(mactual_type,type,
    mactual: mworld ).

thf(mequiv_type,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf('#sk1_type',type,
    '#sk1': mworld ).

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

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

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

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

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

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

thf(q_type,type,
    q: mworld > $o ).

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

thf('0',plain,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).

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

thf(mequiv_def,axiom,
    ( mequiv
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
        <=> ( B @ W ) ) ) ) ).

thf('2',plain,
    ( mequiv
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
        <=> ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mequiv_def]) ).

thf('3',plain,
    ( mequiv
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
        <=> ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

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

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

thf('5',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(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(con,conjecture,
    mlocal @ ( mimplies @ ( mbox @ ( mequiv @ p @ q ) ) @ ( mbox @ ( mequiv @ ( mbox @ p ) @ ( mbox @ q ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: mworld] :
        ( ( mrel @ mactual @ X4 )
       => ( ( p @ X4 )
        <=> ( q @ X4 ) ) )
   => ! [X6: mworld] :
        ( ( mrel @ mactual @ X6 )
       => ( ! [X8: mworld] :
              ( ( mrel @ X6 @ X8 )
             => ( p @ X8 ) )
        <=> ! [X10: mworld] :
              ( ( mrel @ X6 @ X10 )
             => ( q @ X10 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: mworld] :
          ( ( mrel @ mactual @ X4 )
         => ( ( p @ X4 )
          <=> ( q @ X4 ) ) )
     => ! [X6: mworld] :
          ( ( mrel @ mactual @ X6 )
         => ( ! [X8: mworld] :
                ( ( mrel @ X6 @ X8 )
               => ( p @ X8 ) )
          <=> ! [X10: mworld] :
                ( ( mrel @ X6 @ X10 )
               => ( q @ X10 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( p @ Y0 )
            <=> ( q @ Y0 ) ) ) )
     => ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( p @ Y1 ) ) )
            <=> ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( q @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ~ ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( p @ Y1 ) ) )
          <=> ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( q @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    ~ ( ( mrel @ mactual @ '#sk1' )
     => ( ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( p @ Y0 ) ) )
      <=> ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( q @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl15,plain,
    ~ ( ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( p @ Y0 ) ) )
    <=> ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl17,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( p @ Y0 ) ) )
   != ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( q @ Y0 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl41,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( p @ Y0 ) ) )
    | ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( q @ Y0 ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl94,plain,
    ( ~ '#form3'
    | ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( q @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl95,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( q @ X2 ) )
      | ~ '#form3' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl98,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( q @ X2 )
      | ~ '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: mworld] :
        ( ( mrel @ mactual @ Y0 )
       => ( ( p @ Y0 )
        <=> ( q @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl11,plain,
    ! [X2: mworld] :
      ( ( mrel @ mactual @ X2 )
     => ( ( p @ X2 )
      <=> ( q @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ mactual @ X2 )
      | ( ( p @ X2 )
      <=> ( q @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl16,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ mactual @ X2 )
      | ( ( p @ X2 )
        = ( q @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl39,plain,
    ! [X2: mworld] :
      ( ( p @ X2 )
      | ~ ( q @ X2 )
      | ~ ( mrel @ mactual @ X2 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl101,plain,
    ! [X0: mworld] :
      ( ~ '#form3'
      | ~ ( mrel @ '#sk1' @ X0 )
      | ~ ( mrel @ mactual @ X0 )
      | ( p @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl39]) ).

thf(zip_derived_cl41_001,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( p @ Y0 ) ) )
    | ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( q @ Y0 ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl94_002,plain,
    ( ~ '#form3'
    | ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( q @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl17_003,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( p @ Y0 ) ) )
   != ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( q @ Y0 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl42,plain,
    ( ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( p @ Y0 ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl71,plain,
    ( ~ ( ( mrel @ '#sk1' @ '#sk2' )
       => ( p @ '#sk2' ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl72,plain,
    ( ( mrel @ '#sk1' @ '#sk2' )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl74,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl96,plain,
    ( '#form3'
    | ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( p @ Y0 ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl41,zip_derived_cl94,zip_derived_cl74]) ).

thf(zip_derived_cl97,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( p @ X2 ) )
      | '#form3' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl99,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( p @ X2 )
      | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl208,plain,
    ! [X0: mworld] :
      ( ( p @ X0 )
      | ~ ( mrel @ mactual @ X0 )
      | ~ ( mrel @ '#sk1' @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl99]) ).

thf(zip_derived_cl73,plain,
    ( ~ ( p @ '#sk2' )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl74_004,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl77,plain,
    ( ~ '#form3'
    | ~ ( p @ '#sk2' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl73,zip_derived_cl74]) ).

thf(zip_derived_cl74_005,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl75,plain,
    ( ~ ( ( mrel @ '#sk1' @ '#sk4' )
       => ( q @ '#sk4' ) )
    | '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl79,plain,
    ( ~ ( q @ '#sk4' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl16_006,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ mactual @ X2 )
      | ( ( p @ X2 )
        = ( q @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl40,plain,
    ! [X2: mworld] :
      ( ~ ( p @ X2 )
      | ( q @ X2 )
      | ~ ( mrel @ mactual @ X2 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl86,plain,
    ( '#form3'
    | ~ ( mrel @ mactual @ '#sk4' )
    | ~ ( p @ '#sk4' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl40]) ).

thf(zip_derived_cl78,plain,
    ( ( mrel @ '#sk1' @ '#sk4' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl99_007,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( p @ X2 )
      | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl180,plain,
    ( '#form3'
    | '#form3'
    | ( p @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl99]) ).

thf(zip_derived_cl188,plain,
    ( ( p @ '#sk4' )
    | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl180]) ).

thf(zip_derived_cl201,plain,
    ( ~ ( mrel @ mactual @ '#sk4' )
    | '#form3'
    | '#form3' ),
    inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl188]) ).

thf(zip_derived_cl204,plain,
    ( '#form3'
    | ~ ( mrel @ mactual @ '#sk4' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl201]) ).

thf(zip_derived_cl78_008,plain,
    ( ( mrel @ '#sk1' @ '#sk4' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl14,plain,
    mrel @ mactual @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

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

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) ),
    inference(cnf,[status(esa)],[mrel_reflexive]) ).

thf(zip_derived_cl3,plain,
    ! [X2: mworld] : ( mrel @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

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

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: mworld] :
        ( !!
        @ ^ [Y1: mworld] :
            ( !!
            @ ^ [Y2: mworld] :
                ( ( ( mrel @ Y0 @ Y1 )
                  & ( mrel @ Y0 @ Y2 ) )
               => ( mrel @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[mrel_euclidean]) ).

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

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

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

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

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

thf(zip_derived_cl18,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ X1 @ X0 )
      | ~ ( mrel @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).

thf(zip_derived_cl31,plain,
    mrel @ '#sk1' @ mactual,
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).

thf(zip_derived_cl8_009,plain,
    ! [X2: mworld,X4: mworld,X6: mworld] :
      ( ~ ( mrel @ X2 @ X4 )
      | ~ ( mrel @ X2 @ X6 )
      | ( mrel @ X6 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl36,plain,
    ! [X0: mworld] :
      ( ( mrel @ X0 @ mactual )
      | ~ ( mrel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl8]) ).

thf(zip_derived_cl110,plain,
    ( '#form3'
    | ( mrel @ '#sk4' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl36]) ).

thf(zip_derived_cl18_010,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ X1 @ X0 )
      | ~ ( mrel @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).

thf(zip_derived_cl116,plain,
    ( '#form3'
    | ( mrel @ mactual @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl18]) ).

thf(zip_derived_cl221,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl116]) ).

thf(zip_derived_cl223,plain,
    ~ ( p @ '#sk2' ),
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl221]) ).

thf(zip_derived_cl230,plain,
    ( ~ ( mrel @ '#sk1' @ '#sk2' )
    | ~ ( mrel @ mactual @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl223]) ).

thf(zip_derived_cl72_011,plain,
    ( ( mrel @ '#sk1' @ '#sk2' )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl74_012,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( q @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl76,plain,
    ( ~ '#form3'
    | ( mrel @ '#sk1' @ '#sk2' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl72,zip_derived_cl74]) ).

thf(zip_derived_cl221_013,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl116]) ).

thf(zip_derived_cl222,plain,
    mrel @ '#sk1' @ '#sk2',
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl221]) ).

thf(zip_derived_cl235,plain,
    ~ ( mrel @ mactual @ '#sk2' ),
    inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl222]) ).

thf(zip_derived_cl76_014,plain,
    ( ~ '#form3'
    | ( mrel @ '#sk1' @ '#sk2' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl72,zip_derived_cl74]) ).

thf(zip_derived_cl36_015,plain,
    ! [X0: mworld] :
      ( ( mrel @ X0 @ mactual )
      | ~ ( mrel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl8]) ).

thf(zip_derived_cl80,plain,
    ( ~ '#form3'
    | ( mrel @ '#sk2' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl36]) ).

thf(zip_derived_cl18_016,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ X1 @ X0 )
      | ~ ( mrel @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).

thf(zip_derived_cl144,plain,
    ( ~ '#form3'
    | ( mrel @ mactual @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl18]) ).

thf(zip_derived_cl221_017,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl116]) ).

thf(zip_derived_cl228,plain,
    mrel @ mactual @ '#sk2',
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl221]) ).

thf(zip_derived_cl251,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl228]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO901^11 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.a43Avl67Om true
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 05:53:25 EDT 2023
% 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
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.36  % Running in HO mode
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.10/0.85  % Solved by lams/20_acsne_simpl.sh.
% 1.10/0.85  % done 110 iterations in 0.050s
% 1.10/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.10/0.85  % SZS output start Refutation
% See solution above
% 1.10/0.85  
% 1.10/0.85  
% 1.10/0.85  % Terminating...
% 1.93/0.96  % Runner terminated.
% 1.93/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------