TSTP Solution File: NLP267^17 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NLP267^17 : 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.JmrWrbL4Pa true

% Computer : n028.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 10:20:09 EDT 2023

% Result   : Theorem 0.20s 0.77s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   44 (  16 unt;  16 typ;   0 def)
%            Number of atoms       :   70 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  148 (  11   ~;   8   |;   5   &; 113   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   43 (  43   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :   42 (  30   ^;  12   !;   0   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mindex_type,type,
    mindex: $tType ).

thf(mworld_type,type,
    mworld: $tType ).

thf('#b_s_type',type,
    '#b_s': mindex ).

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

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

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

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

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

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

thf(sk__2_type,type,
    sk__2: mworld ).

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

thf(price_type,type,
    price: $i > mworld > $o ).

thf(mactual_type,type,
    mactual: mworld ).

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

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

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

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

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

thf('1',plain,
    ( mbox
    = ( ^ [V_1: mindex,V_2: mworld > $o,V_3: mworld] :
        ! [X4: mworld] :
          ( ( mrel @ V_1 @ V_3 @ X4 )
         => ( V_2 @ 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(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(axiom_2,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [X4: mworld] :
      ( ( mrel @ '#b_s' @ mactual @ X4 )
     => ( ( ( dest @ paris @ X4 )
          & ( class @ second @ X4 ) )
       => ( price @ seventy @ X4 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: mworld] :
      ( ~ ( dest @ paris @ X0 )
      | ~ ( class @ second @ X0 )
      | ( price @ seventy @ X0 )
      | ~ ( mrel @ '#b_s' @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(axiom_5,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) ).

thf(zf_stmt_1,axiom,
    ! [X4: mworld] :
      ( ( mrel @ '#b_s' @ mactual @ X4 )
     => ( ( dest @ paris @ X4 )
        & ( class @ second @ X4 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: mworld] :
      ( ( dest @ paris @ X0 )
      | ~ ( mrel @ '#b_s' @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl39,plain,
    ! [X0: mworld] :
      ( ~ ( mrel @ '#b_s' @ mactual @ X0 )
      | ( price @ seventy @ X0 )
      | ~ ( class @ second @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl10]) ).

thf(zip_derived_cl11,plain,
    ! [X0: mworld] :
      ( ( class @ second @ X0 )
      | ~ ( mrel @ '#b_s' @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl40,plain,
    ! [X0: mworld] :
      ( ( price @ seventy @ X0 )
      | ~ ( mrel @ '#b_s' @ mactual @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl11]) ).

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

thf(zf_stmt_2,conjecture,
    ! [X4: mworld] :
      ( ( mrel @ '#b_s' @ mactual @ X4 )
     => ( price @ seventy @ X4 ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ! [X4: mworld] :
        ( ( mrel @ '#b_s' @ mactual @ X4 )
       => ( price @ seventy @ X4 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl13,plain,
    ~ ( price @ seventy @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl41,plain,
    ~ ( mrel @ '#b_s' @ mactual @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl13]) ).

thf(zip_derived_cl12,plain,
    mrel @ '#b_s' @ mactual @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl45,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl12]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP267^17 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JmrWrbL4Pa true
% 0.13/0.34  % Computer : n028.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 : Thu Aug 24 12:32:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.20/0.65  % Total configuration time : 828
% 0.20/0.65  % Estimated wc time : 1656
% 0.20/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77  % Solved by lams/40_c_ic.sh.
% 0.20/0.77  % done 20 iterations in 0.016s
% 0.20/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.77  % SZS output start Refutation
% See solution above
% 0.20/0.77  
% 0.20/0.77  
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.77  % Terminating...
% 1.80/0.86  % Runner terminated.
% 1.80/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------