TSTP Solution File: NLP267^3 by Zipperpin---2.1.9999

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NLP267^3 : 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.qhKM2ykYI0 true

% Computer : n014.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 10:20:10 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   54 (  16 unt;  14 typ;   0 def)
%            Number of atoms       :  104 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  220 (  16   ~;  11   |;   8   &; 158   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   41 (  41   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   7 con; 0-3 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   49 (  31   ^;  18   !;   0   ?;  49   :)

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

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

thf(class_type,type,
    class: $i > mworld > $o ).

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

thf(mactual_type,type,
    mactual: mworld ).

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

thf(second_type,type,
    second: $i ).

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

thf(dest_type,type,
    dest: $i > mworld > $o ).

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

thf(paris_type,type,
    paris: $i ).

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

thf(seventy_type,type,
    seventy: $i ).

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

thf('2',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('3',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(con,conjecture,
    mlocal @ ( mbox @ ( price @ seventy ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ( price @ seventy @ X4 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: mworld] :
        ( ( mrel @ mactual @ X4 )
       => ( price @ seventy @ X4 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ~ ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ~ ( ( mrel @ mactual @ '#sk1' )
     => ( price @ seventy @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl10,plain,
    ~ ( price @ seventy @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

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

thf('6',plain,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand_def]) ).

thf('7',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(law2,axiom,
    mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) ).

thf(zf_stmt_2,axiom,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ( ( ( class @ second @ X4 )
          & ( dest @ paris @ X4 ) )
       => ( price @ seventy @ X4 ) ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: mworld] :
        ( ( mrel @ mactual @ Y0 )
       => ( ( ( class @ second @ Y0 )
            & ( dest @ paris @ Y0 ) )
         => ( price @ seventy @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl30,plain,
    ! [X2: mworld] :
      ( ( mrel @ mactual @ X2 )
     => ( ( ( class @ second @ X2 )
          & ( dest @ paris @ X2 ) )
       => ( price @ seventy @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl31,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ mactual @ X2 )
      | ( ( ( class @ second @ X2 )
          & ( dest @ paris @ X2 ) )
       => ( price @ seventy @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl32,plain,
    ! [X2: mworld] :
      ( ~ ( ( class @ second @ X2 )
          & ( dest @ paris @ X2 ) )
      | ( price @ seventy @ X2 )
      | ~ ( mrel @ mactual @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl33,plain,
    ! [X2: mworld] :
      ( ~ ( class @ second @ X2 )
      | ~ ( dest @ paris @ X2 )
      | ~ ( mrel @ mactual @ X2 )
      | ( price @ seventy @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl32]) ).

thf(belief2,axiom,
    mlocal @ ( mbox @ ( class @ second ) ) ).

thf(zf_stmt_3,axiom,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ( class @ second @ X4 ) ) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: mworld] :
        ( ( mrel @ mactual @ Y0 )
       => ( class @ second @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl15,plain,
    ! [X2: mworld] :
      ( ( mrel @ mactual @ X2 )
     => ( class @ second @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl16,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ mactual @ X2 )
      | ( class @ second @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl34,plain,
    ! [X2: mworld] :
      ( ( price @ seventy @ X2 )
      | ~ ( mrel @ mactual @ X2 )
      | ~ ( dest @ paris @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl33,zip_derived_cl16]) ).

thf(belief1,axiom,
    mlocal @ ( mbox @ ( dest @ paris ) ) ).

thf(zf_stmt_4,axiom,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ( dest @ paris @ X4 ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: mworld] :
        ( ( mrel @ mactual @ Y0 )
       => ( dest @ paris @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl13,plain,
    ! [X2: mworld] :
      ( ( mrel @ mactual @ X2 )
     => ( dest @ paris @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ mactual @ X2 )
      | ( dest @ paris @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl35,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ mactual @ X2 )
      | ( price @ seventy @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl14]) ).

thf(zip_derived_cl37,plain,
    ~ ( mrel @ mactual @ '#sk1' ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl35]) ).

thf(zip_derived_cl9,plain,
    mrel @ mactual @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl40,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP267^3 : 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.qhKM2ykYI0 true
% 0.13/0.35  % Computer : n014.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 : Thu Aug 24 11:45:18 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
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.21/0.63  % Total configuration time : 828
% 0.21/0.63  % Estimated wc time : 1656
% 0.21/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % Solved by lams/35_full_unif4.sh.
% 0.21/0.76  % done 8 iterations in 0.015s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 0.21/0.84  % Runner terminated.
% 0.21/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------