TSTP Solution File: SWV182+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E32IBbtA5K true

% Computer : n009.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 00:08:12 EDT 2023

% Result   : Theorem 1.27s 1.07s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   36 (   9 unt;  19 typ;   0 def)
%            Number of atoms       :   74 (  19 equ;   0 cnn)
%            Maximal formula atoms :   25 (   4 avg)
%            Number of connectives :  217 (  10   ~;   8   |;  26   &; 150   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;  15 con; 0-3 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pv76_type,type,
    pv76: $i ).

thf(a_select3_type,type,
    a_select3: $i > $i > $i > $i ).

thf(q_init_type,type,
    q_init: $i ).

thf(sigma_init_type,type,
    sigma_init: $i ).

thf(n135299_type,type,
    n135299: $i ).

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

thf(rho_init_type,type,
    rho_init: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

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

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

thf(sk__1_type,type,
    sk__1: $i ).

thf(n0_type,type,
    n0: $i ).

thf(a_select2_type,type,
    a_select2: $i > $i > $i ).

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

thf(succ_type,type,
    succ: $i > $i ).

thf(mu_init_type,type,
    mu_init: $i ).

thf(init_type,type,
    init: $i ).

thf(center_init_type,type,
    center_init: $i ).

thf(n4_type,type,
    n4: $i ).

thf(cl5_nebula_init_0086,conjecture,
    ( ( ( leq @ tptp_float_0_001 @ pv76 )
      & ( leq @ n1 @ loopcounter )
      & ! [A: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ A @ n135299 ) )
         => ! [B: $i] :
              ( ( ( leq @ n0 @ B )
                & ( leq @ B @ n4 ) )
             => ( ( a_select3 @ q_init @ A @ B )
                = init ) ) )
      & ! [C: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ C @ n4 ) )
         => ( ( a_select3 @ center_init @ C @ n0 )
            = init ) )
      & ( ( gt @ loopcounter @ n0 )
       => ! [D: $i] :
            ( ( ( leq @ n0 @ D )
              & ( leq @ D @ n4 ) )
           => ( ( a_select2 @ mu_init @ D )
              = init ) ) )
      & ( ( gt @ loopcounter @ n0 )
       => ! [E: $i] :
            ( ( ( leq @ n0 @ E )
              & ( leq @ E @ n4 ) )
           => ( ( a_select2 @ rho_init @ E )
              = init ) ) )
      & ( ( gt @ loopcounter @ n0 )
       => ! [F: $i] :
            ( ( ( leq @ n0 @ F )
              & ( leq @ F @ n4 ) )
           => ( ( a_select2 @ sigma_init @ F )
              = init ) ) ) )
   => ! [G: $i] :
        ( ( ( leq @ n0 @ G )
          & ( leq @ G @ n4 ) )
       => ( ( a_select2 @ rho_init @ G )
          = init ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( leq @ tptp_float_0_001 @ pv76 )
        & ( leq @ n1 @ loopcounter )
        & ! [A: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ A @ n135299 ) )
           => ! [B: $i] :
                ( ( ( leq @ n0 @ B )
                  & ( leq @ B @ n4 ) )
               => ( ( a_select3 @ q_init @ A @ B )
                  = init ) ) )
        & ! [C: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ C @ n4 ) )
           => ( ( a_select3 @ center_init @ C @ n0 )
              = init ) )
        & ( ( gt @ loopcounter @ n0 )
         => ! [D: $i] :
              ( ( ( leq @ n0 @ D )
                & ( leq @ D @ n4 ) )
             => ( ( a_select2 @ mu_init @ D )
                = init ) ) )
        & ( ( gt @ loopcounter @ n0 )
         => ! [E: $i] :
              ( ( ( leq @ n0 @ E )
                & ( leq @ E @ n4 ) )
             => ( ( a_select2 @ rho_init @ E )
                = init ) ) )
        & ( ( gt @ loopcounter @ n0 )
         => ! [F: $i] :
              ( ( ( leq @ n0 @ F )
                & ( leq @ F @ n4 ) )
             => ( ( a_select2 @ sigma_init @ F )
                = init ) ) ) )
     => ! [G: $i] :
          ( ( ( leq @ n0 @ G )
            & ( leq @ G @ n4 ) )
         => ( ( a_select2 @ rho_init @ G )
            = init ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_init_0086]) ).

thf(zip_derived_cl53,plain,
    leq @ sk__1 @ n4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ! [X4: $i] :
      ( ~ ( leq @ n0 @ X4 )
      | ~ ( leq @ X4 @ n4 )
      | ( ( a_select2 @ rho_init @ X4 )
        = init )
      | ~ ( gt @ loopcounter @ n0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(successor_1,axiom,
    ( ( succ @ n0 )
    = n1 ) ).

thf(zip_derived_cl44,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(leq_succ_gt,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ ( succ @ X ) @ Y )
     => ( gt @ Y @ X ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ X0 @ X1 )
      | ~ ( leq @ ( succ @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[leq_succ_gt]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ~ ( leq @ n1 @ X0 )
      | ( gt @ X0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl14]) ).

thf(zip_derived_cl46,plain,
    leq @ n1 @ loopcounter,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    gt @ loopcounter @ n0,
    inference('sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl46]) ).

thf(zip_derived_cl1920,plain,
    ! [X4: $i] :
      ( ~ ( leq @ n0 @ X4 )
      | ~ ( leq @ X4 @ n4 )
      | ( ( a_select2 @ rho_init @ X4 )
        = init ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl230]) ).

thf(zip_derived_cl1956,plain,
    ( ( ( a_select2 @ rho_init @ sk__1 )
      = init )
    | ~ ( leq @ n0 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl1920]) ).

thf(zip_derived_cl54,plain,
    leq @ n0 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1969,plain,
    ( ( a_select2 @ rho_init @ sk__1 )
    = init ),
    inference(demod,[status(thm)],[zip_derived_cl1956,zip_derived_cl54]) ).

thf(zip_derived_cl52,plain,
    ( ( a_select2 @ rho_init @ sk__1 )
   != init ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1970,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1969,zip_derived_cl52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E32IBbtA5K true
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue Aug 29 03:00:05 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.17/0.59  % Total configuration time : 435
% 0.17/0.59  % Estimated wc time : 1092
% 0.17/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.87/0.69  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.87/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.87/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.87/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.87/0.70  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.07  % Solved by fo/fo4.sh.
% 1.27/1.07  % done 511 iterations in 0.324s
% 1.27/1.07  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/1.07  % SZS output start Refutation
% See solution above
% 1.61/1.07  
% 1.61/1.07  
% 1.61/1.07  % Terminating...
% 1.61/1.11  % Runner terminated.
% 1.61/1.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------