TSTP Solution File: SWV199+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV199+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.S0LmfGZUBM true

% Computer : n016.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 00:08:17 EDT 2023

% Result   : Theorem 0.55s 0.94s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   78 (  29 unt;  23 typ;   0 def)
%            Number of atoms       :  197 ( 132 equ;   0 cnn)
%            Maximal formula atoms :   51 (   3 avg)
%            Number of connectives :  495 (  47   ~;  36   |;  93   &; 306   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;  19 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(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(sk__2_type,type,
    sk__2: $i ).

thf(succ_type,type,
    succ: $i > $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_0010,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 @ 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 @ 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_0010]) ).

thf(zip_derived_cl97,plain,
    leq @ sk__1 @ n2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl63,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(zip_derived_cl320,plain,
    leq @ sk__1 @ ( succ @ ( succ @ n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl63]) ).

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

thf(zip_derived_cl1,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_cl321,plain,
    ! [X0: $i] :
      ( ( leq @ sk__1 @ X0 )
      | ~ ( leq @ ( succ @ ( succ @ n0 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl1]) ).

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

thf(zip_derived_cl58,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_cl63_001,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(successor_1,axiom,
    ( ( succ @ n0 )
    = n1 ) ).

thf(zip_derived_cl62,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl63_002,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(zip_derived_cl1259,plain,
    ! [X0: $i] :
      ( ( X0
        = ( succ @ ( succ @ n0 ) ) )
      | ( X0
        = ( succ @ n0 ) )
      | ( X0 = n0 )
      | ~ ( leq @ X0 @ ( succ @ ( succ @ n0 ) ) )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl63,zip_derived_cl62,zip_derived_cl63]) ).

thf(zip_derived_cl1268,plain,
    ( ~ ( leq @ ( succ @ ( succ @ n0 ) ) @ ( succ @ ( succ @ n0 ) ) )
    | ~ ( leq @ n0 @ sk__1 )
    | ( sk__1 = n0 )
    | ( sk__1
      = ( succ @ n0 ) )
    | ( sk__1
      = ( succ @ ( succ @ n0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl1259]) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_leq]) ).

thf(zip_derived_cl98,plain,
    leq @ n0 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1275,plain,
    ( ( sk__1 = n0 )
    | ( sk__1
      = ( succ @ n0 ) )
    | ( sk__1
      = ( succ @ ( succ @ n0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1268,zip_derived_cl0,zip_derived_cl98]) ).

thf(zip_derived_cl102,plain,
    ( ( n2 != sk__1 )
    | ( pv5 != sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93,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_cl56,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ ( leq @ X0 @ n0 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_0]) ).

thf(zip_derived_cl149,plain,
    ( ~ ( leq @ n0 @ pv5 )
    | ( pv5 = n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl56]) ).

thf(zip_derived_cl92,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154,plain,
    pv5 = n0,
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl92]) ).

thf(zip_derived_cl162,plain,
    ( ( n2 != sk__1 )
    | ( n0 != sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl154]) ).

thf(zip_derived_cl63_003,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(zip_derived_cl195,plain,
    ( ( ( succ @ ( succ @ n0 ) )
     != sk__1 )
    | ( n0 != sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl63]) ).

thf(zip_derived_cl56_004,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ ( leq @ X0 @ n0 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_0]) ).

thf(zip_derived_cl100,plain,
    leq @ sk__2 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154_005,plain,
    pv5 = n0,
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl92]) ).

thf(zip_derived_cl414,plain,
    leq @ sk__2 @ n0,
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl154]) ).

thf(zip_derived_cl420,plain,
    ( ~ ( leq @ n0 @ sk__2 )
    | ( sk__2 = n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl414]) ).

thf(zip_derived_cl99,plain,
    leq @ n0 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    sk__2 = n0,
    inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl99]) ).

thf(zip_derived_cl431,plain,
    ( ( ( succ @ ( succ @ n0 ) )
     != sk__1 )
    | ( n0 != n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl423]) ).

thf(zip_derived_cl432,plain,
    ( ( succ @ ( succ @ n0 ) )
   != sk__1 ),
    inference(simplify,[status(thm)],[zip_derived_cl431]) ).

thf(zip_derived_cl103,plain,
    ( ( n1 != sk__1 )
    | ( pv5 != sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62_006,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl105,plain,
    ( ( ( succ @ n0 )
     != sk__1 )
    | ( pv5 != sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl62]) ).

thf(zip_derived_cl154_007,plain,
    pv5 = n0,
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl92]) ).

thf(zip_derived_cl164,plain,
    ( ( ( succ @ n0 )
     != sk__1 )
    | ( n0 != sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl154]) ).

thf(zip_derived_cl423_008,plain,
    sk__2 = n0,
    inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl99]) ).

thf(zip_derived_cl429,plain,
    ( ( ( succ @ n0 )
     != sk__1 )
    | ( n0 != n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl423]) ).

thf(zip_derived_cl430,plain,
    ( ( succ @ n0 )
   != sk__1 ),
    inference(simplify,[status(thm)],[zip_derived_cl429]) ).

thf(zip_derived_cl104,plain,
    ( ( n0 != sk__1 )
    | ( pv5 != sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154_009,plain,
    pv5 = n0,
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl92]) ).

thf(zip_derived_cl163,plain,
    ( ( n0 != sk__1 )
    | ( n0 != sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl154]) ).

thf(zip_derived_cl423_010,plain,
    sk__2 = n0,
    inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl99]) ).

thf(zip_derived_cl427,plain,
    ( ( n0 != sk__1 )
    | ( n0 != n0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl423]) ).

thf(zip_derived_cl428,plain,
    n0 != sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl427]) ).

thf(zip_derived_cl1276,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1275,zip_derived_cl432,zip_derived_cl430,zip_derived_cl428]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.S0LmfGZUBM true
% 0.12/0.34  % Computer : n016.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 08:26:30 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/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
% 0.53/0.64  % Total configuration time : 435
% 0.53/0.64  % Estimated wc time : 1092
% 0.53/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.94  % Solved by fo/fo4.sh.
% 0.55/0.94  % done 511 iterations in 0.166s
% 0.55/0.94  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.94  % SZS output start Refutation
% See solution above
% 0.55/0.94  
% 0.55/0.94  
% 0.55/0.94  % Terminating...
% 0.58/1.05  % Runner terminated.
% 0.58/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------