TSTP Solution File: SWV046+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV046+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.aNcvEv6m2L 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 00:07:25 EDT 2023

% Result   : Theorem 1.33s 0.84s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   62 (  23 unt;  26 typ;   0 def)
%            Number of atoms       :   76 (  43 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  588 (  35   ~;  14   |;  14   &; 513   @)
%                                         (   0 <=>;   6  =>;   6  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  26 usr;  17 con; 0-3 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pv44_type,type,
    pv44: $i ).

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

thf(n135300_type,type,
    n135300: $i ).

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

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

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

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

thf(pv81_type,type,
    pv81: $i ).

thf(pv35_type,type,
    pv35: $i ).

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

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

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

thf(q_type,type,
    q: $i ).

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

thf(tptp_update2_type,type,
    tptp_update2: $i > $i > $i > $i ).

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

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

thf(pv78_type,type,
    pv78: $i ).

thf(pv80_type,type,
    pv80: $i ).

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

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

thf(pv79_type,type,
    pv79: $i ).

thf(pv83_type,type,
    pv83: $i ).

thf(times_type,type,
    times: $i > $i > $i ).

thf(x_type,type,
    x: $i ).

thf(true_type,type,
    true: $o ).

thf(cl5_nebula_norm_0010,conjecture,
    ( ( ( pv78
        = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
      & ( pv80
        = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
      & ( leq @ n0 @ pv35 )
      & ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) )
   => ( ( ( n0 != pv44 )
       => ( ( n0
            = ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
          & ( pv78
            = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
          & ( leq @ n0 @ pv35 )
          & ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ) )
      & ( ( n0 = pv44 )
       => true ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( pv78
          = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
        & ( pv80
          = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( times @ ( a_select3 @ q @ pv81 @ pv35 ) @ ( a_select2 @ x @ pv81 ) ) ) )
        & ( leq @ n0 @ pv35 )
        & ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) )
     => ( ( ( n0 != pv44 )
         => ( ( n0
              = ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
            & ( pv78
              = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
            & ( leq @ n0 @ pv35 )
            & ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ) )
        & ( ( n0 = pv44 )
         => true ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0010]) ).

thf(zip_derived_cl123,plain,
    ( ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
    | ~ ( leq @ n0 @ pv35 )
    | ( pv78
     != ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
    | ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
    | ~ true ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl170,plain,
    ( ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
   <= ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl121,plain,
    leq @ n0 @ pv35,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl167,plain,
    ( ~ ( leq @ n0 @ pv35 )
   <= ~ ( leq @ n0 @ pv35 ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('0',plain,
    leq @ n0 @ pv35,
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl167]) ).

thf(zip_derived_cl119,plain,
    ( pv78
    = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl168,plain,
    ( ( pv78
     != ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
   <= ( pv78
     != ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf(zip_derived_cl194,plain,
    ( ( pv78 != pv78 )
   <= ( pv78
     != ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl168]) ).

thf('1',plain,
    ( pv78
    = ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl194]) ).

thf(ttrue,axiom,
    true ).

thf(zip_derived_cl117,plain,
    true,
    inference(cnf,[status(esa)],[ttrue]) ).

thf(zip_derived_cl169,plain,
    ( ~ true
   <= ~ true ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('2',plain,
    true,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl169]) ).

thf(zip_derived_cl125,plain,
    ( ( n0 != pv44 )
    | ~ true ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ( n0 != pv44 )
    | ~ true ),
    inference(split,[status(esa)],[zip_derived_cl125]) ).

thf(zip_derived_cl122,plain,
    leq @ pv35 @ ( minus @ n5 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166,plain,
    ( ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
   <= ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl123]) ).

thf('4',plain,
    leq @ pv35 @ ( minus @ n5 @ n1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl166]) ).

thf(zip_derived_cl124,plain,
    ( ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
    | ~ ( leq @ n0 @ pv35 )
    | ( pv78
     != ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
    | ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
    | ( n0 = pv44 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    ( ( n0
     != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) )
    | ~ ( leq @ pv35 @ ( minus @ n5 @ n1 ) )
    | ( n0 = pv44 )
    | ( pv78
     != ( sum @ n0 @ ( minus @ n135300 @ n1 ) @ ( a_select3 @ q @ pv79 @ pv35 ) ) )
    | ~ ( leq @ n0 @ pv35 ) ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf('6',plain,
    ( n0
   != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5']) ).

thf(zip_derived_cl216,plain,
    ( n0
   != ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( times @ ( minus @ ( a_select2 @ x @ pv83 ) @ ( a_select2 @ ( tptp_update2 @ mu @ pv35 @ ( divide @ pv80 @ pv44 ) ) @ pv35 ) ) @ ( a_select3 @ q @ pv83 @ pv35 ) ) ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl170,'6']) ).

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

thf(zip_derived_cl87,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_cl99,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl405,plain,
    ( ( pred @ n0 )
    = tptp_minus_1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl99]) ).

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

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl409,plain,
    ( ( minus @ n0 @ n1 )
    = tptp_minus_1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl405,zip_derived_cl98]) ).

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

thf(zip_derived_cl85,plain,
    ! [X0: $i] :
      ( ( sum @ n0 @ tptp_minus_1 @ X0 )
      = n0 ),
    inference(cnf,[status(esa)],[sum_plus_base]) ).

thf(zip_derived_cl421,plain,
    n0 != n0,
    inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl409,zip_derived_cl85]) ).

thf(zip_derived_cl422,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl421]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV046+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aNcvEv6m2L true
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 03:22:50 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 1.07/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.33/0.84  % Solved by fo/fo1_av.sh.
% 1.33/0.84  % done 157 iterations in 0.073s
% 1.33/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.84  % SZS output start Refutation
% See solution above
% 1.33/0.84  
% 1.33/0.84  
% 1.33/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.84  % Terminating...
% 1.33/0.87  % Runner terminated.
% 1.56/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------