TSTP Solution File: SWV210+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV210+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.UbTkleEo1q true

% Computer : n002.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 00:08:20 EDT 2023

% Result   : Theorem 0.80s 1.02s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   37 (  11 unt;  21 typ;   0 def)
%            Number of atoms       :  110 (  68 equ;   0 cnn)
%            Maximal formula atoms :   42 (   6 avg)
%            Number of connectives :  345 (  16   ~;  12   |;  74   &; 235   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

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

thf(sigma_defuse_type,type,
    sigma_defuse: $i ).

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

thf(n998_type,type,
    n998: $i ).

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

thf(xinit_mean_defuse_type,type,
    xinit_mean_defuse: $i ).

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

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

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

thf(u_defuse_type,type,
    u_defuse: $i ).

thf(n5_type,type,
    n5: $i ).

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

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

thf(rho_defuse_type,type,
    rho_defuse: $i ).

thf(xinit_noise_defuse_type,type,
    xinit_noise_defuse: $i ).

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

thf(xinit_defuse_type,type,
    xinit_defuse: $i ).

thf(z_defuse_type,type,
    z_defuse: $i ).

thf(use_type,type,
    use: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(quaternion_ds1_inuse_0021,conjecture,
    ( ( ( ( a_select2 @ rho_defuse @ n0 )
        = use )
      & ( ( a_select2 @ rho_defuse @ n1 )
        = use )
      & ( ( a_select2 @ rho_defuse @ n2 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n0 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n1 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n2 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n3 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n4 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n5 )
        = use )
      & ( ( a_select3 @ u_defuse @ n0 @ n0 )
        = use )
      & ( ( a_select3 @ u_defuse @ n1 @ n0 )
        = use )
      & ( ( a_select3 @ u_defuse @ n2 @ n0 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n5 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n0 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n1 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n2 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n5 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n0 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n1 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n2 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n5 )
        = use )
      & ! [A: $i,B: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ n0 @ B )
            & ( leq @ A @ n2 )
            & ( leq @ B @ n998 ) )
         => ( ( a_select3 @ u_defuse @ A @ B )
            = use ) )
      & ! [C: $i,D: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ n0 @ D )
            & ( leq @ C @ n2 )
            & ( leq @ D @ n998 ) )
         => ( ( a_select3 @ z_defuse @ C @ D )
            = use ) ) )
   => ! [E: $i,F: $i] :
        ( ( ( leq @ n0 @ E )
          & ( leq @ n0 @ F )
          & ( leq @ E @ n2 )
          & ( leq @ F @ n998 ) )
       => ( ( a_select3 @ z_defuse @ E @ F )
          = use ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( a_select2 @ rho_defuse @ n0 )
          = use )
        & ( ( a_select2 @ rho_defuse @ n1 )
          = use )
        & ( ( a_select2 @ rho_defuse @ n2 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n0 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n1 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n2 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n3 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n4 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n5 )
          = use )
        & ( ( a_select3 @ u_defuse @ n0 @ n0 )
          = use )
        & ( ( a_select3 @ u_defuse @ n1 @ n0 )
          = use )
        & ( ( a_select3 @ u_defuse @ n2 @ n0 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n5 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n0 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n1 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n2 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n5 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n0 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n1 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n2 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n5 )
          = use )
        & ! [A: $i,B: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ n0 @ B )
              & ( leq @ A @ n2 )
              & ( leq @ B @ n998 ) )
           => ( ( a_select3 @ u_defuse @ A @ B )
              = use ) )
        & ! [C: $i,D: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ n0 @ D )
              & ( leq @ C @ n2 )
              & ( leq @ D @ n998 ) )
           => ( ( a_select3 @ z_defuse @ C @ D )
              = use ) ) )
     => ! [E: $i,F: $i] :
          ( ( ( leq @ n0 @ E )
            & ( leq @ n0 @ F )
            & ( leq @ E @ n2 )
            & ( leq @ F @ n998 ) )
         => ( ( a_select3 @ z_defuse @ E @ F )
            = use ) ) ),
    inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0021]) ).

thf(zip_derived_cl89,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( leq @ X2 @ n2 )
      | ~ ( leq @ n0 @ X2 )
      | ~ ( leq @ n0 @ X3 )
      | ~ ( leq @ X3 @ n998 )
      | ( ( a_select3 @ z_defuse @ X2 @ X3 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(successor_2,axiom,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ) ).

thf(zip_derived_cl59,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(zip_derived_cl1767,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( leq @ X2 @ ( succ @ ( succ @ n0 ) ) )
      | ~ ( leq @ n0 @ X2 )
      | ~ ( leq @ n0 @ X3 )
      | ~ ( leq @ X3 @ n998 )
      | ( ( a_select3 @ z_defuse @ X2 @ X3 )
        = use ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl59]) ).

thf(zip_derived_cl94,plain,
    ( ( a_select3 @ z_defuse @ sk__1 @ sk__2 )
   != use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1768,plain,
    ( ( use != use )
    | ~ ( leq @ sk__2 @ n998 )
    | ~ ( leq @ n0 @ sk__2 )
    | ~ ( leq @ n0 @ sk__1 )
    | ~ ( leq @ sk__1 @ ( succ @ ( succ @ n0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1767,zip_derived_cl94]) ).

thf(zip_derived_cl93,plain,
    leq @ sk__2 @ n998,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    leq @ n0 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl91,plain,
    leq @ n0 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    leq @ sk__1 @ n2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59_001,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(zip_derived_cl235,plain,
    leq @ sk__1 @ ( succ @ ( succ @ n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl59]) ).

thf(zip_derived_cl1769,plain,
    use != use,
    inference(demod,[status(thm)],[zip_derived_cl1768,zip_derived_cl93,zip_derived_cl92,zip_derived_cl91,zip_derived_cl235]) ).

thf(zip_derived_cl1770,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1769]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV210+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UbTkleEo1q true
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 03:06:35 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.76/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.76/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.76/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.76/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.76/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.76/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.76/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.80/1.02  % Solved by fo/fo4.sh.
% 0.80/1.02  % done 586 iterations in 0.229s
% 0.80/1.02  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.80/1.02  % SZS output start Refutation
% See solution above
% 0.80/1.03  
% 0.80/1.03  
% 0.80/1.03  % Terminating...
% 0.84/1.15  % Runner terminated.
% 0.84/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------