TSTP Solution File: RNG125+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wjbXRtdhNm true

% Computer : n032.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 14:07:05 EDT 2023

% Result   : Theorem 0.15s 0.61s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   52 (  17 unt;  17 typ;   0 def)
%            Number of atoms       :   71 (   3 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  178 (  28   ~;  16   |;   9   &; 114   @)
%                                         (   2 <=>;   7  =>;   2  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

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

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

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

thf(aDivisorOf0_type,type,
    aDivisorOf0: $i > $i > $o ).

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

thf(doDivides0_type,type,
    doDivides0: $i > $i > $o ).

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

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

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

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

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

thf(m__2383,axiom,
    ~ ( ( aDivisorOf0 @ xu @ xa )
      & ( aDivisorOf0 @ xu @ xb ) ) ).

thf(zip_derived_cl109,plain,
    ( ~ ( aDivisorOf0 @ xu @ xa )
    | ~ ( aDivisorOf0 @ xu @ xb ) ),
    inference(cnf,[status(esa)],[m__2383]) ).

thf(zip_derived_cl118,plain,
    ( ~ ( aDivisorOf0 @ xu @ xb )
   <= ~ ( aDivisorOf0 @ xu @ xb ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(m__2479,axiom,
    doDivides0 @ xu @ xa ).

thf(zip_derived_cl113,plain,
    doDivides0 @ xu @ xa,
    inference(cnf,[status(esa)],[m__2479]) ).

thf(mDefDvs,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ! [W1: $i] :
          ( ( aDivisorOf0 @ W1 @ W0 )
        <=> ( ( aElement0 @ W1 )
            & ( doDivides0 @ W1 @ W0 ) ) ) ) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( doDivides0 @ X0 @ X1 )
      | ( aDivisorOf0 @ X0 @ X1 )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDvs]) ).

thf(zip_derived_cl217,plain,
    ( ~ ( aElement0 @ xu )
    | ( aDivisorOf0 @ xu @ xa )
    | ~ ( aElement0 @ xa ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl75]) ).

thf(m__2273,axiom,
    ( ! [W0: $i] :
        ( ( ( aElementOf0 @ W0 @ xI )
          & ( W0 != sz00 ) )
       => ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
    & ( xu != sz00 )
    & ( aElementOf0 @ xu @ xI ) ) ).

thf(zip_derived_cl106,plain,
    aElementOf0 @ xu @ xI,
    inference(cnf,[status(esa)],[m__2273]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl123,plain,
    ( ( aElement0 @ xu )
    | ~ ( aSet0 @ xI ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl25]) ).

thf(m__2174,axiom,
    ( ( xI
      = ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
    & ( aIdeal0 @ xI ) ) ).

thf(zip_derived_cl99,plain,
    aIdeal0 @ xI,
    inference(cnf,[status(esa)],[m__2174]) ).

thf(mDefIdeal,axiom,
    ! [W0: $i] :
      ( ( aIdeal0 @ W0 )
    <=> ( ( aSet0 @ W0 )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ W0 )
           => ( ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ W0 )
                 => ( aElementOf0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 ) )
              & ! [W2: $i] :
                  ( ( aElement0 @ W2 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ~ ( aIdeal0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefIdeal]) ).

thf(zip_derived_cl120,plain,
    aSet0 @ xI,
    inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl47]) ).

thf(zip_derived_cl125,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl120]) ).

thf(m__2091,axiom,
    ( ( aElement0 @ xb )
    & ( aElement0 @ xa ) ) ).

thf(zip_derived_cl95,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl220,plain,
    aDivisorOf0 @ xu @ xa,
    inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl125,zip_derived_cl95]) ).

thf(zip_derived_cl119,plain,
    ( ~ ( aDivisorOf0 @ xu @ xa )
   <= ~ ( aDivisorOf0 @ xu @ xa ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('0',plain,
    aDivisorOf0 @ xu @ xa,
    inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl119]) ).

thf('1',plain,
    ( ~ ( aDivisorOf0 @ xu @ xb )
    | ~ ( aDivisorOf0 @ xu @ xa ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf('2',plain,
    ~ ( aDivisorOf0 @ xu @ xb ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl225,plain,
    ~ ( aDivisorOf0 @ xu @ xb ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl118,'2']) ).

thf(m__2612,axiom,
    doDivides0 @ xu @ xb ).

thf(zip_derived_cl114,plain,
    doDivides0 @ xu @ xb,
    inference(cnf,[status(esa)],[m__2612]) ).

thf(zip_derived_cl75_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( doDivides0 @ X0 @ X1 )
      | ( aDivisorOf0 @ X0 @ X1 )
      | ~ ( aElement0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDvs]) ).

thf(zip_derived_cl218,plain,
    ( ~ ( aElement0 @ xu )
    | ( aDivisorOf0 @ xu @ xb )
    | ~ ( aElement0 @ xb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl75]) ).

thf(zip_derived_cl125_002,plain,
    aElement0 @ xu,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl120]) ).

thf(zip_derived_cl94,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl221,plain,
    aDivisorOf0 @ xu @ xb,
    inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl125,zip_derived_cl94]) ).

thf(zip_derived_cl239,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl221]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wjbXRtdhNm true
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Sun Aug 27 01:30:14 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30  % Number of cores: 8
% 0.10/0.30  % Python version: Python 3.6.8
% 0.10/0.31  % Running in FO mode
% 0.15/0.49  % Total configuration time : 435
% 0.15/0.49  % Estimated wc time : 1092
% 0.15/0.49  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.56  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.56  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.56  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.57  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.58  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.58  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.61  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.61  % Solved by fo/fo1_av.sh.
% 0.15/0.61  % done 68 iterations in 0.034s
% 0.15/0.61  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.15/0.61  % SZS output start Refutation
% See solution above
% 0.15/0.61  
% 0.15/0.61  
% 0.15/0.61  % Terminating...
% 0.15/0.70  % Runner terminated.
% 0.15/0.71  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------