TSTP Solution File: RNG050+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG050+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.TnZEDb7IwC true

% Computer : n009.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 14:06:31 EDT 2023

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (  15 unt;  11 typ;   0 def)
%            Number of atoms       :   64 (  29 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  173 (  21   ~;  15   |;   9   &; 118   @)
%                                         (   0 <=>;   8  =>;   2  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aVector0_type,type,
    aVector0: $i > $o ).

thf(sz00_type,type,
    sz00: $i ).

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

thf(sz0z00_type,type,
    sz0z00: $i ).

thf(xs_type,type,
    xs: $i ).

thf(aDimensionOf0_type,type,
    aDimensionOf0: $i > $i ).

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

thf(aScalar0_type,type,
    aScalar0: $i > $o ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

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

thf(sdtasasdt0_type,type,
    sdtasasdt0: $i > $i > $i ).

thf(mDefSPZ,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aVector0 @ W0 )
        & ( aVector0 @ W1 ) )
     => ( ( ( ( aDimensionOf0 @ W0 )
            = ( aDimensionOf0 @ W1 ) )
          & ( ( aDimensionOf0 @ W1 )
            = sz00 ) )
       => ( ( sdtasasdt0 @ W0 @ W1 )
          = sz0z00 ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aVector0 @ X0 )
      | ~ ( aVector0 @ X1 )
      | ( ( sdtasasdt0 @ X0 @ X1 )
        = sz0z00 )
      | ( ( aDimensionOf0 @ X1 )
       != sz00 )
      | ( ( aDimensionOf0 @ X0 )
       != ( aDimensionOf0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mDefSPZ]) ).

thf(m__,conjecture,
    ( ( ( ( aDimensionOf0 @ xs )
       != sz00 )
     => ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) )
   => ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( aDimensionOf0 @ xs )
         != sz00 )
       => ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) )
     => ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl58,plain,
    ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151,plain,
    ( ( ( aDimensionOf0 @ xs )
     != ( aDimensionOf0 @ xs ) )
    | ( ( aDimensionOf0 @ xs )
     != sz00 )
    | ~ ( aVector0 @ xs )
    | ~ ( aVector0 @ xs )
    | ~ ( sdtlseqdt0 @ sz0z00 @ sz0z00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl58]) ).

thf(zip_derived_cl57,plain,
    ( ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) )
    | ( ( aDimensionOf0 @ xs )
      = sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ( ( ( aDimensionOf0 @ xs )
      = sz00 )
   <= ( ( aDimensionOf0 @ xs )
      = sz00 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl65,plain,
    ( ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) )
   <= ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl58_001,plain,
    ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl58]) ).

thf('1',plain,
    ( ( ( aDimensionOf0 @ xs )
      = sz00 )
    | ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf('2',plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl68,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl66,'2']) ).

thf(zip_derived_cl68_002,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl66,'2']) ).

thf(zip_derived_cl68_003,plain,
    ( ( aDimensionOf0 @ xs )
    = sz00 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl66,'2']) ).

thf(m__1542,axiom,
    aVector0 @ xs ).

thf(zip_derived_cl55,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1542]) ).

thf(zip_derived_cl55_004,plain,
    aVector0 @ xs,
    inference(cnf,[status(esa)],[m__1542]) ).

thf(mScZero,axiom,
    ! [W0: $i] :
      ( ( aScalar0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz0z00 )
          = W0 )
        & ( ( sdtpldt0 @ sz0z00 @ W0 )
          = W0 )
        & ( ( sdtasdt0 @ W0 @ sz0z00 )
          = sz0z00 )
        & ( ( sdtasdt0 @ sz0z00 @ W0 )
          = sz0z00 )
        & ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
          = sz0z00 )
        & ( ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 )
          = sz0z00 )
        & ( ( smndt0 @ ( smndt0 @ W0 ) )
          = W0 )
        & ( ( smndt0 @ sz0z00 )
          = sz0z00 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz0z00 )
        = sz0z00 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mScZero]) ).

thf(mSqPos,axiom,
    ! [W0: $i] :
      ( ( aScalar0 @ W0 )
     => ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W0 ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X0 ) )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSqPos]) ).

thf(zip_derived_cl91,plain,
    ( ~ ( aScalar0 @ sz0z00 )
    | ( sdtlseqdt0 @ sz0z00 @ sz0z00 )
    | ~ ( aScalar0 @ sz0z00 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl41]) ).

thf(mSZeroSc,axiom,
    aScalar0 @ sz0z00 ).

thf(zip_derived_cl10,plain,
    aScalar0 @ sz0z00,
    inference(cnf,[status(esa)],[mSZeroSc]) ).

thf(zip_derived_cl10_005,plain,
    aScalar0 @ sz0z00,
    inference(cnf,[status(esa)],[mSZeroSc]) ).

thf(zip_derived_cl93,plain,
    sdtlseqdt0 @ sz0z00 @ sz0z00,
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl10,zip_derived_cl10]) ).

thf(zip_derived_cl154,plain,
    ( ( sz00 != sz00 )
    | ( sz00 != sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl68,zip_derived_cl68,zip_derived_cl68,zip_derived_cl55,zip_derived_cl55,zip_derived_cl93]) ).

thf(zip_derived_cl155,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl154]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TnZEDb7IwC true
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 02:26:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.75  % Solved by fo/fo1_av.sh.
% 0.54/0.75  % done 55 iterations in 0.027s
% 0.54/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.75  % SZS output start Refutation
% See solution above
% 0.54/0.75  
% 0.54/0.75  
% 0.54/0.75  % Terminating...
% 0.57/0.83  % Runner terminated.
% 1.68/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------