TSTP Solution File: RNG124+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG124+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.HutlvYLJKI true

% Computer : n028.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 0.22s 0.85s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   43 (  16 unt;  18 typ;   0 def)
%            Number of atoms       :   66 (  28 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  258 (  12   ~;   9   |;  25   &; 205   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;   9   !;  10   ?;  19   :)

% 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(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

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

thf(sz00_type,type,
    sz00: $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(iLess0_type,type,
    iLess0: $i > $i > $o ).

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__2666,axiom,
    ( ( ( iLess0 @ ( sbrdtbr0 @ xr ) @ ( sbrdtbr0 @ xu ) )
      | ( xr = sz00 ) )
    & ( xb
      = ( sdtpldt0 @ ( sdtasdt0 @ xq @ xu ) @ xr ) )
    & ( aElement0 @ xr )
    & ( aElement0 @ xq ) ) ).

thf(zip_derived_cl179,plain,
    ( ( iLess0 @ ( sbrdtbr0 @ xr ) @ ( sbrdtbr0 @ xu ) )
    | ( xr = sz00 ) ),
    inference(cnf,[status(esa)],[m__2666]) ).

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

thf(zip_derived_cl195,plain,
    ( xr
    = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference(cnf,[status(esa)],[m__2718]) ).

thf(zip_derived_cl195_001,plain,
    ( xr
    = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference(cnf,[status(esa)],[m__2718]) ).

thf(zip_derived_cl341,plain,
    ( ( iLess0 @ ( sbrdtbr0 @ ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ) @ ( sbrdtbr0 @ xu ) )
    | ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb )
      = sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl195,zip_derived_cl195]) ).

thf(m__2673,axiom,
    xr != sz00 ).

thf(zip_derived_cl183,plain,
    xr != sz00,
    inference(cnf,[status(esa)],[m__2673]) ).

thf(zip_derived_cl195_002,plain,
    ( xr
    = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference(cnf,[status(esa)],[m__2718]) ).

thf(zip_derived_cl201,plain,
    ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb )
   != sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl195]) ).

thf(zip_derived_cl342,plain,
    iLess0 @ ( sbrdtbr0 @ ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ) @ ( sbrdtbr0 @ xu ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl341,zip_derived_cl201]) ).

thf(m__2273,axiom,
    ( ! [W0: $i] :
        ( ( ( ? [W1: $i,W2: $i] :
                ( ( ( sdtpldt0 @ W1 @ W2 )
                  = W0 )
                & ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
                & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
            | ( aElementOf0 @ W0 @ xI ) )
          & ( W0 != sz00 ) )
       => ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
    & ( xu != sz00 )
    & ( aElementOf0 @ xu @ xI )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xu )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zip_derived_cl162,plain,
    ! [X0: $i] :
      ( ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ xu ) )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ xI ) ),
    inference(cnf,[status(esa)],[m__2273]) ).

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_cl133,plain,
    ( xI
    = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[m__2174]) ).

thf(zip_derived_cl252,plain,
    ! [X0: $i] :
      ( ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ xu ) )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl133]) ).

thf(zip_derived_cl343,plain,
    ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
    | ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb )
      = sz00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl252]) ).

thf(m__2729,axiom,
    ( ( aElementOf0 @ xr @ xI )
    & ? [W0: $i,W1: $i] :
        ( ( ( sdtpldt0 @ W0 @ W1 )
          = xr )
        & ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
        & ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).

thf(zip_derived_cl199,plain,
    aElementOf0 @ xr @ xI,
    inference(cnf,[status(esa)],[m__2729]) ).

thf(zip_derived_cl195_003,plain,
    ( xr
    = ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) ),
    inference(cnf,[status(esa)],[m__2718]) ).

thf(zip_derived_cl133_004,plain,
    ( xI
    = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
    inference(cnf,[status(esa)],[m__2174]) ).

thf(zip_derived_cl278,plain,
    aElementOf0 @ ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb ) @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl195,zip_derived_cl133]) ).

thf(zip_derived_cl344,plain,
    ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb )
    = sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl278]) ).

thf(zip_derived_cl201_005,plain,
    ( ( sdtpldt0 @ ( smndt0 @ ( sdtasdt0 @ xq @ xu ) ) @ xb )
   != sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl195]) ).

thf(zip_derived_cl345,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl344,zip_derived_cl201]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HutlvYLJKI true
% 0.14/0.35  % Computer : n028.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 : Sun Aug 27 02:05:38 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
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.22/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 0.22/0.85  % Solved by fo/fo7.sh.
% 0.22/0.85  % done 169 iterations in 0.053s
% 0.22/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.85  % SZS output start Refutation
% See solution above
% 0.22/0.85  
% 0.22/0.85  
% 0.22/0.85  % Terminating...
% 2.21/0.96  % Runner terminated.
% 2.21/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------