TSTP Solution File: RNG123+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG123+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wdcyJPv9Ps true

% Computer : n013.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 : Thu Aug 31 14:07:04 EDT 2023

% Result   : Theorem 2.01s 1.01s
% Output   : Refutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   34 (  10 unt;  17 typ;   0 def)
%            Number of atoms       :   53 (  14 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  190 (   6   ~;   6   |;  24   &; 148   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;   8   !;  14   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(smndt0_type,type,
    smndt0: $i > $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(xq_type,type,
    xq: $i ).

thf(sdtpldt1_type,type,
    sdtpldt1: $i > $i > $i ).

thf(xI_type,type,
    xI: $i ).

thf(xa_type,type,
    xa: $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(slsdtgt0_type,type,
    slsdtgt0: $i > $i ).

thf(aIdeal0_type,type,
    aIdeal0: $i > $o ).

thf(xu_type,type,
    xu: $i ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(xb_type,type,
    xb: $i ).

thf(xr_type,type,
    xr: $i ).

thf(m__2718,axiom,
    ( xr
    = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ) ).

thf(zip_derived_cl71,plain,
    ( xr
    = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference(cnf,[status(esa)],[m__2718]) ).

thf(m__2690,axiom,
    ( ( aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zip_derived_cl62,plain,
    ( ( sdtpldt0 @ sk__15 @ sk__16 )
    = ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference(cnf,[status(esa)],[m__2690]) ).

thf(zip_derived_cl367,plain,
    ( xr
    = ( sdtpldt0 @ ( sdtpldt0 @ sk__15 @ sk__16 ) @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl62]) ).

thf(m__2174,axiom,
    ( ( xI
      = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
      <=> ? [W1: $i,W2: $i] :
            ( ( ( sdtpldt0 @ W1 @ W2 )
              = W0 )
            & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
            & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xb ) )
      <=> ? [W1: $i] :
            ( ( ( sdtasdt0 @ xb @ W1 )
              = W0 )
            & ( aElement0 @ W1 ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) )
      <=> ? [W1: $i] :
            ( ( ( sdtasdt0 @ xa @ W1 )
              = W0 )
            & ( aElement0 @ W1 ) ) )
    & ( aIdeal0 @ xI )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xI )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
    & ( aSet0 @ xI ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ xI )
      | ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ xI )
      | ~ ( aElementOf0 @ X1 @ xI ) ),
    inference(cnf,[status(esa)],[m__2174]) ).

thf(zip_derived_cl713,plain,
    ( ( aElementOf0 @ xr @ xI )
    | ~ ( aElementOf0 @ ( sdtpldt0 @ sk__15 @ sk__16 ) @ xI )
    | ~ ( aElementOf0 @ xb @ xI ) ),
    inference('sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl19]) ).

thf(m__,conjecture,
    ( ( aElementOf0 @ xr @ xI )
    | ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xr )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aElementOf0 @ xr @ xI )
      | ? [W0: $i,W1: $i] :
          ( ( ( sdtpldt0 @ W0 @ W1 )
            = xr )
          & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
          & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl73,plain,
    ~ ( aElementOf0 @ xr @ xI ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    aElementOf0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xI,
    inference(cnf,[status(esa)],[m__2690]) ).

thf(zip_derived_cl62_001,plain,
    ( ( sdtpldt0 @ sk__15 @ sk__16 )
    = ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) ),
    inference(cnf,[status(esa)],[m__2690]) ).

thf(zip_derived_cl341,plain,
    aElementOf0 @ ( sdtpldt0 @ sk__15 @ sk__16 ) @ xI,
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl62]) ).

thf(m__2699,axiom,
    ( ( aElementOf0 @ xb @ xI )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xb )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xb )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zip_derived_cl70,plain,
    aElementOf0 @ xb @ xI,
    inference(cnf,[status(esa)],[m__2699]) ).

thf(zip_derived_cl737,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl713,zip_derived_cl73,zip_derived_cl341,zip_derived_cl70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG123+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wdcyJPv9Ps true
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 02:02:47 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.01/1.01  % Solved by fo/fo4.sh.
% 2.01/1.01  % done 261 iterations in 0.181s
% 2.01/1.01  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.01/1.01  % SZS output start Refutation
% See solution above
% 2.01/1.01  
% 2.01/1.01  
% 2.01/1.01  % Terminating...
% 2.01/1.09  % Runner terminated.
% 2.01/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------