TSTP Solution File: SWV050+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV050+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.bpXsGQlAbu true

% Computer : n011.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 00:07:26 EDT 2023

% Result   : Theorem 0.56s 0.81s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   75 (  45 unt;  26 typ;   0 def)
%            Number of atoms       :   61 (  60 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  508 (   7   ~;   4   |;   6   &; 489   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  26 usr;  19 con; 0-3 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rho_type,type,
    rho: $i ).

thf(n3_type,type,
    n3: $i ).

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

thf(tptp_minus_1_type,type,
    tptp_minus_1: $i ).

thf(plus_type,type,
    plus: $i > $i > $i ).

thf(minus_type,type,
    minus: $i > $i > $i ).

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

thf(sum_type,type,
    sum: $i > $i > $i > $i ).

thf(muold_type,type,
    muold: $i ).

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

thf(rhoold_type,type,
    rhoold: $i ).

thf(divide_type,type,
    divide: $i > $i > $i ).

thf(sigmaold_type,type,
    sigmaold: $i ).

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

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

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

thf(pv86_type,type,
    pv86: $i ).

thf(pv87_type,type,
    pv87: $i ).

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

thf(pv88_type,type,
    pv88: $i ).

thf(mu_type,type,
    mu: $i ).

thf(sigma_type,type,
    sigma: $i ).

thf(pv89_type,type,
    pv89: $i ).

thf(pv91_type,type,
    pv91: $i ).

thf(abs_type,type,
    abs: $i > $i ).

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

thf(cl5_nebula_norm_0022,conjecture,
    ( ( ( pv86
        = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
      & ( pv88
        = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) )
   => ( ( n0
        = ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ sigma @ pv91 ) @ ( a_select2 @ sigmaold @ pv91 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ sigma @ pv91 ) ) @ ( abs @ ( a_select2 @ sigmaold @ pv91 ) ) ) ) ) )
      & ( pv86
        = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
      & ( pv88
        = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( pv86
          = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
        & ( pv88
          = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) )
     => ( ( n0
          = ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ sigma @ pv91 ) @ ( a_select2 @ sigmaold @ pv91 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ sigma @ pv91 ) ) @ ( abs @ ( a_select2 @ sigmaold @ pv91 ) ) ) ) ) )
        & ( pv86
          = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
        & ( pv88
          = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0022]) ).

thf(zip_derived_cl72,plain,
    ( ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ sigma @ pv91 ) @ ( a_select2 @ sigmaold @ pv91 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ sigma @ pv91 ) ) @ ( abs @ ( a_select2 @ sigmaold @ pv91 ) ) ) ) ) )
    | ( pv86
     != ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
    | ( pv88
     != ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pred_minus_1,axiom,
    ! [X: $i] :
      ( ( minus @ X @ n1 )
      = ( pred @ X ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(succ_tptp_minus_1,axiom,
    ( ( succ @ tptp_minus_1 )
    = n0 ) ).

thf(zip_derived_cl15,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(pred_succ,axiom,
    ! [X: $i] :
      ( ( pred @ ( succ @ X ) )
      = X ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl291,plain,
    ( ( pred @ n0 )
    = tptp_minus_1 ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl27]) ).

thf(sum_plus_base,axiom,
    ! [Body: $i] :
      ( ( sum @ n0 @ tptp_minus_1 @ Body )
      = n0 ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( sum @ n0 @ tptp_minus_1 @ X0 )
      = n0 ),
    inference(cnf,[status(esa)],[sum_plus_base]) ).

thf(zip_derived_cl26_001,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(successor_5,axiom,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
    = n5 ) ).

thf(zip_derived_cl66,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
    = n5 ),
    inference(cnf,[status(esa)],[successor_5]) ).

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

thf(zip_derived_cl67,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

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

thf(zip_derived_cl68,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(zip_derived_cl67_002,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl287,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).

thf(successor_3,axiom,
    ( ( succ @ ( succ @ ( succ @ n0 ) ) )
    = n3 ) ).

thf(zip_derived_cl69,plain,
    ( ( succ @ ( succ @ ( succ @ n0 ) ) )
    = n3 ),
    inference(cnf,[status(esa)],[successor_3]) ).

thf(zip_derived_cl67_003,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl287_004,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).

thf(zip_derived_cl313,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl67,zip_derived_cl287]) ).

thf(successor_4,axiom,
    ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
    = n4 ) ).

thf(zip_derived_cl65,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
    = n4 ),
    inference(cnf,[status(esa)],[successor_4]) ).

thf(zip_derived_cl67_005,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl287_006,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).

thf(zip_derived_cl313_007,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl67,zip_derived_cl287]) ).

thf(zip_derived_cl478,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl67,zip_derived_cl287,zip_derived_cl313]) ).

thf(zip_derived_cl519,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl67,zip_derived_cl287,zip_derived_cl313,zip_derived_cl478]) ).

thf(zip_derived_cl27_008,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl521,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).

thf(zip_derived_cl70,plain,
    ( pv86
    = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_009,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl274,plain,
    ( pv86
    = ( sum @ n0 @ ( pred @ n5 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl26]) ).

thf(zip_derived_cl521_010,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).

thf(zip_derived_cl532,plain,
    ( pv86
    = ( sum @ n0 @ n4 @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl521]) ).

thf(zip_derived_cl26_011,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl521_012,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).

thf(zip_derived_cl71,plain,
    ( pv88
    = ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_013,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl275,plain,
    ( pv88
    = ( sum @ n0 @ ( pred @ n5 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl26]) ).

thf(zip_derived_cl521_014,plain,
    ( ( pred @ n5 )
    = n4 ),
    inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).

thf(zip_derived_cl533,plain,
    ( pv88
    = ( sum @ n0 @ n4 @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl275,zip_derived_cl521]) ).

thf(zip_derived_cl561,plain,
    ( ( n0 != n0 )
    | ( pv86 != pv86 )
    | ( pv88 != pv88 ) ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl26,zip_derived_cl291,zip_derived_cl13,zip_derived_cl26,zip_derived_cl521,zip_derived_cl532,zip_derived_cl26,zip_derived_cl521,zip_derived_cl533]) ).

thf(zip_derived_cl562,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl561]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV050+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bpXsGQlAbu true
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 03:26:26 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.81  % Solved by fo/fo3_bce.sh.
% 0.56/0.81  % BCE start: 73
% 0.56/0.81  % BCE eliminated: 0
% 0.56/0.81  % PE start: 73
% 0.56/0.81  logic: eq
% 0.56/0.81  % PE eliminated: 0
% 0.56/0.81  % done 104 iterations in 0.056s
% 0.56/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.81  % SZS output start Refutation
% See solution above
% 0.56/0.81  
% 0.56/0.81  
% 0.56/0.81  % Terminating...
% 0.58/0.86  % Runner terminated.
% 0.58/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------