TSTP Solution File: SWV174+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV174+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fgPr7kYNlS true

% Computer : n025.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 00:08:10 EDT 2023

% Result   : Theorem 1.63s 0.89s
% Output   : Refutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   28 (   8 unt;  13 typ;   0 def)
%            Number of atoms       :   56 (  10 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  179 (  16   ~;  10   |;  18   &; 122   @)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;  10 con; 0-3 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

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

thf(sk__type,type,
    sk_: $i ).

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

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

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

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

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

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

thf(pv10_type,type,
    pv10: $i ).

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

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

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

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

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

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ ( pred @ X1 ) )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt_pred]) ).

thf(cl5_nebula_init_0046,conjecture,
    ( ( ( leq @ n0 @ pv10 )
      & ( leq @ pv10 @ n135299 )
      & ! [A: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ A @ ( pred @ pv10 ) ) )
         => ! [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 ) ) )
   => ! [D: $i,E: $i] :
        ( ( ( leq @ n0 @ D )
          & ( leq @ n0 @ E )
          & ( leq @ D @ n135299 )
          & ( leq @ E @ n4 ) )
       => ( ( gt @ pv10 @ D )
         => ( ( a_select3 @ q_init @ D @ E )
            = init ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( leq @ n0 @ pv10 )
        & ( leq @ pv10 @ n135299 )
        & ! [A: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ A @ ( pred @ pv10 ) ) )
           => ! [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 ) ) )
     => ! [D: $i,E: $i] :
          ( ( ( leq @ n0 @ D )
            & ( leq @ n0 @ E )
            & ( leq @ D @ n135299 )
            & ( leq @ E @ n4 ) )
         => ( ( gt @ pv10 @ D )
           => ( ( a_select3 @ q_init @ D @ E )
              = init ) ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_init_0046]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n4 )
      | ( ( a_select3 @ q_init @ X1 @ X0 )
        = init )
      | ~ ( leq @ X1 @ ( pred @ pv10 ) )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ( ( a_select3 @ q_init @ sk_ @ sk__1 )
   != init ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl789,plain,
    ( ( init != init )
    | ~ ( leq @ n0 @ sk_ )
    | ~ ( leq @ sk_ @ ( pred @ pv10 ) )
    | ~ ( leq @ sk__1 @ n4 )
    | ~ ( leq @ n0 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl45]) ).

thf(zip_derived_cl42,plain,
    leq @ n0 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    leq @ sk__1 @ n4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    leq @ n0 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl806,plain,
    ( ( init != init )
    | ~ ( leq @ sk_ @ ( pred @ pv10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl789,zip_derived_cl42,zip_derived_cl44,zip_derived_cl43]) ).

thf(zip_derived_cl807,plain,
    ~ ( leq @ sk_ @ ( pred @ pv10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl806]) ).

thf(zip_derived_cl812,plain,
    ~ ( gt @ pv10 @ sk_ ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl807]) ).

thf(zip_derived_cl40,plain,
    gt @ pv10 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl814,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV174+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fgPr7kYNlS true
% 0.13/0.34  % Computer : n025.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 : Tue Aug 29 07:32:25 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
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.63/0.89  % Solved by fo/fo4.sh.
% 1.63/0.89  % done 312 iterations in 0.120s
% 1.63/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.63/0.89  % SZS output start Refutation
% See solution above
% 1.63/0.89  
% 1.63/0.89  
% 1.63/0.89  % Terminating...
% 1.85/0.95  % Runner terminated.
% 1.85/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------