TSTP Solution File: SWV203+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV203+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.e67DnlqCNe 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 00:08:18 EDT 2023

% Result   : Theorem 4.32s 1.19s
% Output   : Refutation 4.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   66 (  18 unt;  23 typ;   0 def)
%            Number of atoms       :  187 ( 114 equ;   0 cnn)
%            Maximal formula atoms :   51 (   4 avg)
%            Number of connectives :  483 (  47   ~;  37   |;  93   &; 292   @)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;  19 con; 0-3 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

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

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

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

thf(sk__17_type,type,
    sk__17: $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_0014,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 @ n998 )
      & ( gt @ pv5 @ n0 )
      & ! [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 @ 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 @ n998 )
        & ( gt @ pv5 @ n0 )
        & ! [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 @ 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_0014]) ).

thf(zip_derived_cl148,plain,
    leq @ sk__17 @ n2,
    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_cl766,plain,
    ! [X0: $i] :
      ( ( leq @ sk__17 @ X0 )
      | ~ ( leq @ n2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl4]) ).

thf(finite_domain_2,axiom,
    ! [X: $i] :
      ( ( ( leq @ n0 @ X )
        & ( leq @ X @ n2 ) )
     => ( ( X = n0 )
        | ( X = n1 )
        | ( X = n2 ) ) ) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i] :
      ( ( X0 = n2 )
      | ( X0 = n1 )
      | ( X0 = n0 )
      | ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_2]) ).

thf(zip_derived_cl3633,plain,
    ( ~ ( leq @ n2 @ n2 )
    | ~ ( leq @ n0 @ sk__17 )
    | ( sk__17 = n0 )
    | ( sk__17 = n1 )
    | ( sk__17 = n2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl766,zip_derived_cl109]) ).

thf(reflexivity_leq,axiom,
    ! [X: $i] : ( leq @ X @ X ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_leq]) ).

thf(zip_derived_cl149,plain,
    leq @ n0 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3646,plain,
    ( ( sk__17 = n0 )
    | ( sk__17 = n1 )
    | ( sk__17 = n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3633,zip_derived_cl3,zip_derived_cl149]) ).

thf(zip_derived_cl153,plain,
    ( ( n2 != sk__17 )
    | ( pv5 != sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl147,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( leq @ X2 @ n2 )
      | ~ ( leq @ n0 @ X2 )
      | ~ ( leq @ n0 @ X3 )
      | ~ ( leq @ X3 @ ( pred @ pv5 ) )
      | ( ( a_select3 @ z_defuse @ X2 @ X3 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152,plain,
    ( ( a_select3 @ z_defuse @ sk__17 @ sk__18 )
   != use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4015,plain,
    ( ( use != use )
    | ~ ( leq @ sk__18 @ ( pred @ pv5 ) )
    | ~ ( leq @ n0 @ sk__18 )
    | ~ ( leq @ n0 @ sk__17 )
    | ~ ( leq @ sk__17 @ n2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl152]) ).

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

thf(zip_derived_cl149_001,plain,
    leq @ n0 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_002,plain,
    leq @ sk__17 @ n2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4016,plain,
    ( ( use != use )
    | ~ ( leq @ sk__18 @ ( pred @ pv5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4015,zip_derived_cl150,zip_derived_cl149,zip_derived_cl148]) ).

thf(zip_derived_cl4017,plain,
    ~ ( leq @ sk__18 @ ( pred @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4016]) ).

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(zip_derived_cl4021,plain,
    ~ ( gt @ pv5 @ sk__18 ),
    inference('sup+',[status(thm)],[zip_derived_cl4017,zip_derived_cl8]) ).

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

thf(leq_gt2,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( leq @ X @ Y )
        & ( X != Y ) )
     => ( gt @ Y @ X ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ X0 @ X1 )
      | ( X1 = X0 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt2]) ).

thf(zip_derived_cl776,plain,
    ( ( sk__18 = pv5 )
    | ( gt @ pv5 @ sk__18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl6]) ).

thf(zip_derived_cl4031,plain,
    sk__18 = pv5,
    inference('sup+',[status(thm)],[zip_derived_cl4021,zip_derived_cl776]) ).

thf(zip_derived_cl4038,plain,
    ( ( n2 != sk__17 )
    | ( pv5 != pv5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl4031]) ).

thf(zip_derived_cl4039,plain,
    n2 != sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl4038]) ).

thf(zip_derived_cl4079,plain,
    ( ( n2 != n2 )
    | ( sk__17 = n1 )
    | ( sk__17 = n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3646,zip_derived_cl4039]) ).

thf(zip_derived_cl4081,plain,
    ( ( sk__17 = n0 )
    | ( sk__17 = n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4079]) ).

thf(zip_derived_cl154,plain,
    ( ( n1 != sk__17 )
    | ( pv5 != sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4031_003,plain,
    sk__18 = pv5,
    inference('sup+',[status(thm)],[zip_derived_cl4021,zip_derived_cl776]) ).

thf(zip_derived_cl4040,plain,
    ( ( n1 != sk__17 )
    | ( pv5 != pv5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl4031]) ).

thf(zip_derived_cl4041,plain,
    n1 != sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl4040]) ).

thf(zip_derived_cl155,plain,
    ( ( n0 != sk__17 )
    | ( pv5 != sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4031_004,plain,
    sk__18 = pv5,
    inference('sup+',[status(thm)],[zip_derived_cl4021,zip_derived_cl776]) ).

thf(zip_derived_cl4042,plain,
    ( ( n0 != sk__17 )
    | ( pv5 != pv5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl4031]) ).

thf(zip_derived_cl4043,plain,
    n0 != sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl4042]) ).

thf(zip_derived_cl4136,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4081,zip_derived_cl4041,zip_derived_cl4043]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV203+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.e67DnlqCNe true
% 0.12/0.34  % Computer : n009.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 04:36:35 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
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.32/1.19  % Solved by fo/fo3_bce.sh.
% 4.32/1.19  % BCE start: 156
% 4.32/1.19  % BCE eliminated: 0
% 4.32/1.19  % PE start: 156
% 4.32/1.19  logic: eq
% 4.32/1.19  % PE eliminated: 3
% 4.32/1.19  % done 732 iterations in 0.472s
% 4.32/1.19  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.32/1.19  % SZS output start Refutation
% See solution above
% 4.32/1.19  
% 4.32/1.19  
% 4.32/1.19  % Terminating...
% 4.73/1.25  % Runner terminated.
% 4.73/1.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------