TSTP Solution File: LCL955^24 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL955^24 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FAkIRYd66A true

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 09:02:49 EDT 2023

% Result   : Theorem 5.77s 1.49s
% Output   : Refutation 5.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   66 (  20 unt;  21 typ;   0 def)
%            Number of atoms       :  314 (  15 equ;  12 cnn)
%            Maximal formula atoms :   24 (   6 avg)
%            Number of connectives :  788 (  44   ~;  11   |;   9   &; 517   @)
%                                         (   0 <=>; 132  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   8 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   50 (  50   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  20 usr;  14 con; 0-3 aty)
%                                         (  75  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  139 ( 108   ^;  31   !;   0   ?; 139   :)

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

thf(loopcounter_type,type,
    loopcounter: $i ).

thf(pv65_type,type,
    pv65: $i ).

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

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

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

thf(plus_type,type,
    plus: $i > $i > $i ).

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

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

thf(mactual_type,type,
    mactual: mworld ).

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

thf(n1_type,type,
    n1: $i ).

thf(gt_type,type,
    gt: $i > $i > mworld > $o ).

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

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

thf('#sk5_type',type,
    '#sk5': mworld ).

thf(true_type,type,
    true: mworld > $o ).

thf(geq_type,type,
    geq: $i > $i > mworld > $o ).

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

thf('#sk3_type',type,
    '#sk3': mworld ).

thf(tptp_float_0_001_type,type,
    tptp_float_0_001: $i ).

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

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

thf('3',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(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(mnot_def,axiom,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ) ).

thf('6',plain,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).

thf('7',plain,
    ( mnot
    = ( ^ [V_1: mworld > $o,V_2: mworld] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

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

thf('8',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('9',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(cl5_nebula_array_0028,conjecture,
    mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( geq @ pv65 @ tptp_float_0_001 ) ) @ ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) ) ) @ ( mbox @ true ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ ( gt @ ( plus @ n1 @ loopcounter ) @ n1 ) ) @ ( mbox @ true ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ( ! [X6: mworld] :
            ( ( mrel @ X4 @ X6 )
           => ( geq @ pv65 @ tptp_float_0_001 @ X6 ) )
       => ( ! [X16: mworld] :
              ( ( mrel @ X4 @ X16 )
             => ( ! [X18: mworld] :
                    ( ( mrel @ X16 @ X18 )
                   => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ X18 ) )
               => ! [X20: mworld] :
                    ( ( mrel @ X16 @ X20 )
                   => ( true @ X20 ) ) ) )
          & ! [X8: mworld] :
              ( ( mrel @ X4 @ X8 )
             => ( ! [X10: mworld] :
                    ( ( mrel @ X8 @ X10 )
                   => ~ ! [X12: mworld] :
                          ( ( mrel @ X10 @ X12 )
                         => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ X12 ) ) )
               => ! [X14: mworld] :
                    ( ( mrel @ X8 @ X14 )
                   => ( true @ X14 ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: mworld] :
        ( ( mrel @ mactual @ X4 )
       => ( ! [X6: mworld] :
              ( ( mrel @ X4 @ X6 )
             => ( geq @ pv65 @ tptp_float_0_001 @ X6 ) )
         => ( ! [X16: mworld] :
                ( ( mrel @ X4 @ X16 )
               => ( ! [X18: mworld] :
                      ( ( mrel @ X16 @ X18 )
                     => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ X18 ) )
                 => ! [X20: mworld] :
                      ( ( mrel @ X16 @ X20 )
                     => ( true @ X20 ) ) ) )
            & ! [X8: mworld] :
                ( ( mrel @ X4 @ X8 )
               => ( ! [X10: mworld] :
                      ( ( mrel @ X8 @ X10 )
                     => ~ ! [X12: mworld] :
                            ( ( mrel @ X10 @ X12 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ X12 ) ) )
                 => ! [X14: mworld] :
                      ( ( mrel @ X8 @ X14 )
                     => ( true @ X14 ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    ~ ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( geq @ pv65 @ tptp_float_0_001 @ Y1 ) ) )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) )
                     => ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( true @ Y2 ) ) ) ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( (~)
                              @ ( !!
                                @ ^ [Y3: mworld] :
                                    ( ( mrel @ Y2 @ Y3 )
                                   => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y3 ) ) ) ) ) )
                     => ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( true @ Y2 ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl139,plain,
    ~ ( ( mrel @ mactual @ '#sk1' )
     => ( ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( geq @ pv65 @ tptp_float_0_001 @ Y0 ) ) )
       => ( ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( ( !!
                    @ ^ [Y1: mworld] :
                        ( ( mrel @ Y0 @ Y1 )
                       => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
                 => ( !!
                    @ ^ [Y1: mworld] :
                        ( ( mrel @ Y0 @ Y1 )
                       => ( true @ Y1 ) ) ) ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( ( !!
                    @ ^ [Y1: mworld] :
                        ( ( mrel @ Y0 @ Y1 )
                       => ( (~)
                          @ ( !!
                            @ ^ [Y2: mworld] :
                                ( ( mrel @ Y1 @ Y2 )
                               => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
                 => ( !!
                    @ ^ [Y1: mworld] :
                        ( ( mrel @ Y0 @ Y1 )
                       => ( true @ Y1 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl141,plain,
    ~ ( ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( geq @ pv65 @ tptp_float_0_001 @ Y0 ) ) )
     => ( ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
               => ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( true @ Y1 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( (~)
                        @ ( !!
                          @ ^ [Y2: mworld] :
                              ( ( mrel @ Y1 @ Y2 )
                             => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
               => ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( true @ Y1 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl143,plain,
    ~ ( ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl141]) ).

thf(zip_derived_cl145,plain,
    ( ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl147,plain,
    ( ~ ( ( mrel @ '#sk1' @ '#sk2' )
       => ( ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y0 ) ) )
         => ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( true @ Y0 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl145]) ).

thf(zip_derived_cl149,plain,
    ( ~ ( ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y0 ) ) )
       => ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( true @ Y0 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl147]) ).

thf(zip_derived_cl152,plain,
    ( ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( true @ Y0 ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl149]) ).

thf(zip_derived_cl156,plain,
    ( ~ ( ( mrel @ '#sk2' @ '#sk4' )
       => ( true @ '#sk4' ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl152]) ).

thf(zip_derived_cl161,plain,
    ( ~ ( true @ '#sk4' )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y2 ) ) ) ) ) )
             => ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( true @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl156]) ).

thf(zip_derived_cl166,plain,
    ( ~ ( ( mrel @ '#sk1' @ '#sk3' )
       => ( ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk3' @ Y0 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y1: mworld] :
                        ( ( mrel @ Y0 @ Y1 )
                       => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) ) ) ) )
         => ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk3' @ Y0 )
               => ( true @ Y0 ) ) ) ) )
    | ~ ( true @ '#sk4' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl161]) ).

thf(zip_derived_cl175,plain,
    ( ~ ( ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk3' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( gt @ ( plus @ n1 @ loopcounter ) @ n1 @ Y1 ) ) ) ) ) )
       => ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk3' @ Y0 )
             => ( true @ Y0 ) ) ) )
    | ~ ( true @ '#sk4' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl166]) ).

thf(zip_derived_cl182,plain,
    ( ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk3' @ Y0 )
           => ( true @ Y0 ) ) )
    | ~ ( true @ '#sk4' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl175]) ).

thf(zip_derived_cl190,plain,
    ( ~ ( ( mrel @ '#sk3' @ '#sk5' )
       => ( true @ '#sk5' ) )
    | ~ ( true @ '#sk4' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl182]) ).

thf(zip_derived_cl199,plain,
    ( ~ ( true @ '#sk5' )
    | ~ ( true @ '#sk4' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl190]) ).

thf(ttrue,axiom,
    mlocal @ ( mbox @ true ) ).

thf(zf_stmt_2,axiom,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ( true @ X4 ) ) ).

thf(zip_derived_cl102,plain,
    ( !!
    @ ^ [Y0: mworld] :
        ( ( mrel @ mactual @ Y0 )
       => ( true @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl319,plain,
    ! [X2: mworld] :
      ( ( mrel @ mactual @ X2 )
     => ( true @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl102]) ).

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

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: mworld] :
        ( !!
        @ ^ [Y1: mworld] : ( mrel @ Y0 @ Y1 ) ) ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl229,plain,
    ! [X2: mworld] :
      ( !!
      @ ^ [Y0: mworld] : ( mrel @ X2 @ Y0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl230,plain,
    ! [X2: mworld,X4: mworld] : ( mrel @ X2 @ X4 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl320,plain,
    ! [X2: mworld] :
      ( $true
     => ( true @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl230]) ).

thf(zip_derived_cl321,plain,
    ! [X2: mworld] : ( true @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl320]) ).

thf(zip_derived_cl321_001,plain,
    ! [X2: mworld] : ( true @ X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl320]) ).

thf(zip_derived_cl322,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl321,zip_derived_cl321]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL955^24 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FAkIRYd66A true
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 18:05:10 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 5.77/1.49  % Solved by lams/15_e_short1.sh.
% 5.77/1.49  % done 35 iterations in 0.697s
% 5.77/1.49  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.77/1.49  % SZS output start Refutation
% See solution above
% 5.77/1.49  
% 5.77/1.49  
% 5.77/1.49  % Terminating...
% 6.92/1.62  % Runner terminated.
% 6.92/1.63  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------