TSTP Solution File: SWV041+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV041+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.aX9DkkVdbc 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 00:07:22 EDT 2023

% Result   : Theorem 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   38 (  11 unt;  17 typ;   0 def)
%            Number of atoms       :   44 (   9 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  144 (  10   ~;   7   |;   7   &; 111   @)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  10 con; 0-3 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n3_type,type,
    n3: $i ).

thf(pred_type,type,
    pred: $i > $i ).

thf(n410_type,type,
    n410: $i ).

thf(tptp_const_array2_type,type,
    tptp_const_array2: $i > $i > $i > $i ).

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

thf(minus_type,type,
    minus: $i > $i > $i ).

thf(n2_type,type,
    n2: $i ).

thf(uninit_type,type,
    uninit: $i ).

thf(dim_type,type,
    dim: $i > $i > $i ).

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

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

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

thf(sk__18_type,type,
    sk__18: $i ).

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

thf(n330_type,type,
    n330: $i ).

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

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

thf(leq_gt_pred,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ ( pred @ Y ) )
    <=> ( gt @ Y @ X ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ X0 @ X1 )
      | ~ ( leq @ X1 @ ( pred @ X0 ) ) ),
    inference(cnf,[status(esa)],[leq_gt_pred]) ).

thf(gauss_init_0077,conjecture,
    ( ( ( geq @ ( minus @ n330 @ n1 ) @ n0 )
      & ( geq @ ( minus @ n410 @ n1 ) @ n0 ) )
   => ! [A: $i] :
        ( ( ( leq @ n0 @ A )
          & ( leq @ A @ n2 ) )
       => ! [B: $i] :
            ( ( ( leq @ n0 @ B )
              & ( leq @ B @ ( minus @ n0 @ n1 ) ) )
           => ( ( a_select3 @ ( tptp_const_array2 @ ( dim @ n0 @ n3 ) @ ( dim @ n0 @ n2 ) @ uninit ) @ B @ A )
              = init ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( geq @ ( minus @ n330 @ n1 ) @ n0 )
        & ( geq @ ( minus @ n410 @ n1 ) @ n0 ) )
     => ! [A: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ A @ n2 ) )
         => ! [B: $i] :
              ( ( ( leq @ n0 @ B )
                & ( leq @ B @ ( minus @ n0 @ n1 ) ) )
             => ( ( a_select3 @ ( tptp_const_array2 @ ( dim @ n0 @ n3 ) @ ( dim @ n0 @ n2 ) @ uninit ) @ B @ A )
                = init ) ) ) ),
    inference('cnf.neg',[status(esa)],[gauss_init_0077]) ).

thf(zip_derived_cl130,plain,
    leq @ sk__18 @ ( minus @ n0 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pred_minus_1,axiom,
    ! [X: $i] :
      ( ( minus @ X @ n1 )
      = ( pred @ X ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl755,plain,
    leq @ sk__18 @ ( pred @ n0 ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl61]) ).

thf(zip_derived_cl803,plain,
    gt @ n0 @ sk__18,
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl755]) ).

thf(leq_gt1,axiom,
    ! [X: $i,Y: $i] :
      ( ( gt @ Y @ X )
     => ( leq @ X @ Y ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt1]) ).

thf(finite_domain_0,axiom,
    ! [X: $i] :
      ( ( ( leq @ n0 @ X )
        & ( leq @ X @ n0 ) )
     => ( X = n0 ) ) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ ( leq @ X0 @ n0 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_0]) ).

thf(zip_derived_cl781,plain,
    ! [X0: $i] :
      ( ~ ( gt @ n0 @ X0 )
      | ~ ( leq @ n0 @ X0 )
      | ( X0 = n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl118]) ).

thf(zip_derived_cl129,plain,
    leq @ n0 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl792,plain,
    ( ( sk__18 = n0 )
    | ~ ( gt @ n0 @ sk__18 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl781,zip_derived_cl129]) ).

thf(zip_derived_cl803_001,plain,
    gt @ n0 @ sk__18,
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl755]) ).

thf(zip_derived_cl816,plain,
    sk__18 = n0,
    inference(demod,[status(thm)],[zip_derived_cl792,zip_derived_cl803]) ).

thf(irreflexivity_gt,axiom,
    ! [X: $i] :
      ~ ( gt @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl821,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl803,zip_derived_cl816,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV041+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aX9DkkVdbc true
% 0.13/0.35  % Computer : n009.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 : Tue Aug 29 08:19:35 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 FO mode
% 0.57/0.67  % Total configuration time : 435
% 0.57/0.67  % Estimated wc time : 1092
% 0.57/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.83  % Solved by fo/fo3_bce.sh.
% 0.61/0.83  % BCE start: 134
% 0.61/0.83  % BCE eliminated: 0
% 0.61/0.83  % PE start: 134
% 0.61/0.83  logic: eq
% 0.61/0.83  % PE eliminated: 5
% 0.61/0.83  % done 73 iterations in 0.060s
% 0.61/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.83  % SZS output start Refutation
% See solution above
% 0.61/0.83  
% 0.61/0.83  
% 0.61/0.83  % Terminating...
% 0.62/0.89  % Runner terminated.
% 0.62/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------