TSTP Solution File: RNG104+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG104+2 : 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.BQ6HXTqg64 true

% Computer : n024.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 14:06:55 EDT 2023

% Result   : Theorem 0.56s 0.80s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   38 (  16 unt;   9 typ;   0 def)
%            Number of atoms       :   59 (  18 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  180 (  22   ~;  16   |;  11   &; 128   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  16   !;   2   ?;  18   :)

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

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

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

thf(xc_type,type,
    xc: $i ).

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

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

thf(xz_type,type,
    xz: $i ).

thf(xx_type,type,
    xx: $i ).

thf(xy_type,type,
    xy: $i ).

thf(mMulComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( sdtasdt0 @ W0 @ W1 )
        = ( sdtasdt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ X0 @ X1 )
        = ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMulComm]) ).

thf(m__1956,axiom,
    ( ( ( sdtasdt0 @ xc @ xu )
      = xx )
    & ( aElement0 @ xu ) ) ).

thf(zip_derived_cl101,plain,
    ( ( sdtasdt0 @ xc @ xu )
    = xx ),
    inference(cnf,[status(esa)],[m__1956]) ).

thf(mMulAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
        = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mMulAsso]) ).

thf(zip_derived_cl858,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ xu )
      | ~ ( aElement0 @ xc )
      | ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ xx @ X0 )
        = ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl13]) ).

thf(zip_derived_cl102,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__1956]) ).

thf(m__1905,axiom,
    aElement0 @ xc ).

thf(zip_derived_cl93,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl876,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ xx @ X0 )
        = ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl858,zip_derived_cl102,zip_derived_cl93]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ xz @ xx )
    = ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ xz ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtasdt0 @ xz @ xx )
   != ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ xz ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl106,plain,
    ( ( sdtasdt0 @ xz @ xx )
   != ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ xz ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl950,plain,
    ( ~ ( aElement0 @ xz )
    | ( ( sdtasdt0 @ xz @ xx )
     != ( sdtasdt0 @ xx @ xz ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl876,zip_derived_cl106]) ).

thf(m__1933,axiom,
    ( ( aElement0 @ xz )
    & ( aElementOf0 @ xy @ ( slsdtgt0 @ xc ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xc @ W0 )
          = xy )
        & ( aElement0 @ W0 ) )
    & ( aElementOf0 @ xx @ ( slsdtgt0 @ xc ) )
    & ? [W0: $i] :
        ( ( ( sdtasdt0 @ xc @ W0 )
          = xx )
        & ( aElement0 @ W0 ) ) ) ).

thf(zip_derived_cl100,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__1933]) ).

thf(zip_derived_cl965,plain,
    ( ( sdtasdt0 @ xz @ xx )
   != ( sdtasdt0 @ xx @ xz ) ),
    inference(demod,[status(thm)],[zip_derived_cl950,zip_derived_cl100]) ).

thf(zip_derived_cl966,plain,
    ( ~ ( aElement0 @ xx )
    | ~ ( aElement0 @ xz )
    | ( ( sdtasdt0 @ xx @ xz )
     != ( sdtasdt0 @ xx @ xz ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl965]) ).

thf(zip_derived_cl101_001,plain,
    ( ( sdtasdt0 @ xc @ xu )
    = xx ),
    inference(cnf,[status(esa)],[m__1956]) ).

thf(mSortsB_02,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aElement0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl705,plain,
    ( ~ ( aElement0 @ xc )
    | ~ ( aElement0 @ xu )
    | ( aElement0 @ xx ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl5]) ).

thf(zip_derived_cl93_002,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl102_003,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__1956]) ).

thf(zip_derived_cl709,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl705,zip_derived_cl93,zip_derived_cl102]) ).

thf(zip_derived_cl100_004,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__1933]) ).

thf(zip_derived_cl968,plain,
    ( ( sdtasdt0 @ xx @ xz )
   != ( sdtasdt0 @ xx @ xz ) ),
    inference(demod,[status(thm)],[zip_derived_cl966,zip_derived_cl709,zip_derived_cl100]) ).

thf(zip_derived_cl969,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl968]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BQ6HXTqg64 true
% 0.14/0.36  % Computer : n024.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 01:30:23 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
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.80  % Solved by fo/fo6_bce.sh.
% 0.56/0.80  % BCE start: 107
% 0.56/0.80  % BCE eliminated: 2
% 0.56/0.80  % PE start: 105
% 0.56/0.80  logic: eq
% 0.56/0.80  % PE eliminated: 8
% 0.56/0.80  % done 59 iterations in 0.064s
% 0.56/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.80  % SZS output start Refutation
% See solution above
% 0.56/0.80  
% 0.56/0.80  
% 0.56/0.80  % Terminating...
% 0.59/0.88  % Runner terminated.
% 0.59/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------