TSTP Solution File: SWV197+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV197+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.WNeeD26pXv true

% Computer : n005.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 00:08:16 EDT 2023

% Result   : Theorem 1.23s 0.83s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   42 (  10 unt;  22 typ;   0 def)
%            Number of atoms       :  132 (  76 equ;   0 cnn)
%            Maximal formula atoms :   51 (   6 avg)
%            Number of connectives :  380 (  16   ~;   7   |;  92   &; 252   @)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;  18 con; 0-3 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

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

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

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

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

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

thf(pv5_type,type,
    pv5: $i ).

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

thf(sk__18_type,type,
    sk__18: $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(gt_type,type,
    gt: $i > $i > $o ).

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(xinit_defuse_type,type,
    xinit_defuse: $i ).

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

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

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

thf(quaternion_ds1_inuse_0008,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 )
      & ( leq @ n0 @ pv5 )
      & ( leq @ pv5 @ n0 )
      & ( leq @ pv5 @ n998 )
      & ! [A: $i,B: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ n0 @ B )
            & ( leq @ A @ n2 )
            & ( leq @ B @ ( pred @ pv5 ) ) )
         => ( ( a_select3 @ u_defuse @ A @ B )
            = use ) )
      & ! [C: $i,D: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ n0 @ D )
            & ( leq @ C @ n2 )
            & ( leq @ D @ ( pred @ pv5 ) ) )
         => ( ( a_select3 @ z_defuse @ C @ D )
            = use ) ) )
   => ! [E: $i,F: $i] :
        ( ( ( leq @ n0 @ E )
          & ( leq @ n0 @ F )
          & ( leq @ E @ n2 )
          & ( leq @ F @ ( pred @ pv5 ) ) )
       => ( ( ~ ( ( n0 = E )
                & ( pv5 = F ) )
            & ~ ( ( n1 = E )
                & ( pv5 = F ) )
            & ~ ( ( n2 = E )
                & ( pv5 = F ) ) )
         => ( ( 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 )
        & ( leq @ n0 @ pv5 )
        & ( leq @ pv5 @ n0 )
        & ( leq @ pv5 @ n998 )
        & ! [A: $i,B: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ n0 @ B )
              & ( leq @ A @ n2 )
              & ( leq @ B @ ( pred @ pv5 ) ) )
           => ( ( a_select3 @ u_defuse @ A @ B )
              = use ) )
        & ! [C: $i,D: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ n0 @ D )
              & ( leq @ C @ n2 )
              & ( leq @ D @ ( pred @ pv5 ) ) )
           => ( ( a_select3 @ z_defuse @ C @ D )
              = use ) ) )
     => ! [E: $i,F: $i] :
          ( ( ( leq @ n0 @ E )
            & ( leq @ n0 @ F )
            & ( leq @ E @ n2 )
            & ( leq @ F @ ( pred @ pv5 ) ) )
         => ( ( ~ ( ( n0 = E )
                  & ( pv5 = F ) )
              & ~ ( ( n1 = E )
                  & ( pv5 = F ) )
              & ~ ( ( n2 = E )
                  & ( pv5 = F ) ) )
           => ( ( a_select3 @ z_defuse @ E @ F )
              = use ) ) ) ),
    inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0008]) ).

thf(zip_derived_cl150,plain,
    leq @ n0 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(transitivity_leq,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ Z ) )
     => ( leq @ X @ Z ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity_leq]) ).

thf(zip_derived_cl775,plain,
    ! [X0: $i] :
      ( ( leq @ n0 @ X0 )
      | ~ ( leq @ sk__18 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl4]) ).

thf(zip_derived_cl151,plain,
    leq @ sk__18 @ ( pred @ pv5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl866,plain,
    leq @ n0 @ ( pred @ pv5 ),
    inference('sup+',[status(thm)],[zip_derived_cl775,zip_derived_cl151]) ).

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

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

thf(zip_derived_cl875,plain,
    gt @ pv5 @ n0,
    inference('sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl7]) ).

thf(zip_derived_cl144,plain,
    leq @ pv5 @ n0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ ( leq @ X0 @ n0 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_0]) ).

thf(zip_derived_cl1064,plain,
    ( ~ ( leq @ n0 @ pv5 )
    | ( pv5 = n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl107]) ).

thf(zip_derived_cl143,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1068,plain,
    pv5 = n0,
    inference(demod,[status(thm)],[zip_derived_cl1064,zip_derived_cl143]) ).

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_cl1086,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl875,zip_derived_cl1068,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV197+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WNeeD26pXv true
% 0.13/0.34  % Computer : n005.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 09:47:38 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.90/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.90/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.23/0.83  % Solved by fo/fo3_bce.sh.
% 1.23/0.83  % BCE start: 156
% 1.23/0.83  % BCE eliminated: 0
% 1.23/0.83  % PE start: 156
% 1.23/0.83  logic: eq
% 1.23/0.83  % PE eliminated: 3
% 1.23/0.83  % done 151 iterations in 0.112s
% 1.23/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.23/0.83  % SZS output start Refutation
% See solution above
% 1.23/0.83  
% 1.23/0.83  
% 1.23/0.83  % Terminating...
% 1.38/0.93  % Runner terminated.
% 1.38/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------