TSTP Solution File: RNG103+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG103+2 : 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.9iDkCaQE4F 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 1.29s 0.80s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   49 (  24 unt;   8 typ;   0 def)
%            Number of atoms       :   75 (  24 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  245 (  31   ~;  24   |;   7   &; 180   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

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

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

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

thf(xv_type,type,
    xv: $i ).

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

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

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

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

thf(mAddComm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( sdtpldt0 @ W0 @ W1 )
        = ( sdtpldt0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( ( sdtpldt0 @ X0 @ X1 )
        = ( sdtpldt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mAddComm]) ).

thf(m__,conjecture,
    ( ( sdtpldt0 @ xx @ xy )
    = ( sdtasdt0 @ xc @ ( sdtpldt0 @ xu @ xv ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtpldt0 @ xx @ xy )
   != ( sdtasdt0 @ xc @ ( sdtpldt0 @ xu @ xv ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl15,plain,
    ( ( sdtpldt0 @ xx @ xy )
   != ( sdtasdt0 @ xc @ ( sdtpldt0 @ xu @ xv ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ( ( ( sdtpldt0 @ xx @ xy )
     != ( sdtasdt0 @ xc @ ( sdtpldt0 @ xv @ xu ) ) )
    | ~ ( aElement0 @ xu )
    | ~ ( aElement0 @ xv ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).

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

thf(zip_derived_cl12,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__1956]) ).

thf(m__1979,axiom,
    ( ( ( sdtasdt0 @ xc @ xv )
      = xy )
    & ( aElement0 @ xv ) ) ).

thf(zip_derived_cl14,plain,
    aElement0 @ xv,
    inference(cnf,[status(esa)],[m__1979]) ).

thf(zip_derived_cl33,plain,
    ( ( sdtpldt0 @ xx @ xy )
   != ( sdtasdt0 @ xc @ ( sdtpldt0 @ xv @ xu ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl12,zip_derived_cl14]) ).

thf(zip_derived_cl13,plain,
    ( ( sdtasdt0 @ xc @ xv )
    = xy ),
    inference(cnf,[status(esa)],[m__1979]) ).

thf(zip_derived_cl11,plain,
    ( ( sdtasdt0 @ xc @ xu )
    = xx ),
    inference(cnf,[status(esa)],[m__1956]) ).

thf(mAMDistr,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
        & ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
          = ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAMDistr]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xc @ ( sdtpldt0 @ X0 @ xu ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ xc @ X0 ) @ xx ) )
      | ~ ( aElement0 @ xu )
      | ~ ( aElement0 @ xc )
      | ~ ( aElement0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).

thf(zip_derived_cl12_002,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__1956]) ).

thf(m__1905,axiom,
    aElement0 @ xc ).

thf(zip_derived_cl10,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ xc @ ( sdtpldt0 @ X0 @ xu ) )
        = ( sdtpldt0 @ ( sdtasdt0 @ xc @ X0 ) @ xx ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl12,zip_derived_cl10]) ).

thf(zip_derived_cl202,plain,
    ( ( ( sdtasdt0 @ xc @ ( sdtpldt0 @ xv @ xu ) )
      = ( sdtpldt0 @ xy @ xx ) )
    | ~ ( aElement0 @ xv ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl102]) ).

thf(zip_derived_cl14_003,plain,
    aElement0 @ xv,
    inference(cnf,[status(esa)],[m__1979]) ).

thf(zip_derived_cl208,plain,
    ( ( sdtasdt0 @ xc @ ( sdtpldt0 @ xv @ xu ) )
    = ( sdtpldt0 @ xy @ xx ) ),
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl14]) ).

thf(zip_derived_cl238,plain,
    ( ( sdtpldt0 @ xx @ xy )
   != ( sdtpldt0 @ xy @ xx ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl208]) ).

thf(zip_derived_cl252,plain,
    ( ( ( sdtpldt0 @ xy @ xx )
     != ( sdtpldt0 @ xy @ xx ) )
    | ~ ( aElement0 @ xy )
    | ~ ( aElement0 @ xx ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl238]) ).

thf(zip_derived_cl13_004,plain,
    ( ( sdtasdt0 @ xc @ xv )
    = xy ),
    inference(cnf,[status(esa)],[m__1979]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl37,plain,
    ( ( aElement0 @ xy )
    | ~ ( aElement0 @ xv )
    | ~ ( aElement0 @ xc ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl14_005,plain,
    aElement0 @ xv,
    inference(cnf,[status(esa)],[m__1979]) ).

thf(zip_derived_cl10_006,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl39,plain,
    aElement0 @ xy,
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl14,zip_derived_cl10]) ).

thf(zip_derived_cl11_007,plain,
    ( ( sdtasdt0 @ xc @ xu )
    = xx ),
    inference(cnf,[status(esa)],[m__1956]) ).

thf(zip_derived_cl1_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl36,plain,
    ( ( aElement0 @ xx )
    | ~ ( aElement0 @ xu )
    | ~ ( aElement0 @ xc ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).

thf(zip_derived_cl12_009,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__1956]) ).

thf(zip_derived_cl10_010,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__1905]) ).

thf(zip_derived_cl38,plain,
    aElement0 @ xx,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl12,zip_derived_cl10]) ).

thf(zip_derived_cl254,plain,
    ( ( sdtpldt0 @ xy @ xx )
   != ( sdtpldt0 @ xy @ xx ) ),
    inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl39,zip_derived_cl38]) ).

thf(zip_derived_cl255,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl254]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : RNG103+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9iDkCaQE4F true
% 0.12/0.32  % Computer : n024.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sun Aug 27 02:09:38 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.18/0.59  % Total configuration time : 435
% 0.18/0.59  % Estimated wc time : 1092
% 0.18/0.59  % Estimated cpu time (7 cpus) : 156.0
% 1.07/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.80  % Solved by fo/fo4.sh.
% 1.29/0.80  % done 41 iterations in 0.059s
% 1.29/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.80  % SZS output start Refutation
% See solution above
% 1.29/0.80  
% 1.29/0.80  
% 1.29/0.80  % Terminating...
% 1.65/0.92  % Runner terminated.
% 1.65/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------