TSTP Solution File: RNG105+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG105+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.DzrcWsdMKV true

% Computer : n023.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 14:06:56 EDT 2023

% Result   : Theorem 0.52s 0.76s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   44 (  10 unt;  11 typ;   0 def)
%            Number of atoms       :   91 (  31 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  340 (  53   ~;  33   |;  16   &; 229   @)
%                                         (   0 <=>;   2  =>;   7  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  25   !;   6   ?;  31   :)

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

thf(xv_type,type,
    xv: $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(m__2043,axiom,
    ( ( sdtasdt0 @ xz @ xx )
    = ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ xz ) ) ) ).

thf(zip_derived_cl106,plain,
    ( ( sdtasdt0 @ xz @ xx )
    = ( sdtasdt0 @ xc @ ( sdtasdt0 @ xu @ xz ) ) ),
    inference(cnf,[status(esa)],[m__2043]) ).

thf(m__,conjecture,
    ( ( ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( slsdtgt0 @ xc ) )
      | ? [W0: $i] :
          ( ( ( sdtasdt0 @ xc @ W0 )
            = ( sdtpldt0 @ xx @ xy ) )
          & ( aElement0 @ W0 ) ) )
    & ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) )
      | ? [W0: $i] :
          ( ( ( sdtasdt0 @ xc @ W0 )
            = ( sdtasdt0 @ xz @ xx ) )
          & ( aElement0 @ W0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( slsdtgt0 @ xc ) )
        | ? [W0: $i] :
            ( ( ( sdtasdt0 @ xc @ W0 )
              = ( sdtpldt0 @ xx @ xy ) )
            & ( aElement0 @ W0 ) ) )
      & ( ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) )
        | ? [W0: $i] :
            ( ( ( sdtasdt0 @ xc @ W0 )
              = ( sdtasdt0 @ xz @ xx ) )
            & ( aElement0 @ W0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sdtpldt0 @ xx @ xy ) @ ( slsdtgt0 @ xc ) )
      | ( ( sdtasdt0 @ xc @ X0 )
       != ( sdtasdt0 @ xz @ xx ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl113,plain,
    ( ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xc @ X0 )
         != ( sdtasdt0 @ xz @ xx ) ) )
   <= ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xc @ X0 )
         != ( sdtasdt0 @ xz @ xx ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl108]) ).

thf(zip_derived_cl125,plain,
    ( ( ~ ( aElement0 @ ( sdtasdt0 @ xu @ xz ) )
      | ( ( sdtasdt0 @ xz @ xx )
       != ( sdtasdt0 @ xz @ xx ) ) )
   <= ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xc @ X0 )
         != ( sdtasdt0 @ xz @ xx ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl113]) ).

thf(zip_derived_cl127,plain,
    ( ~ ( aElement0 @ ( sdtasdt0 @ xu @ xz ) )
   <= ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xc @ X0 )
         != ( sdtasdt0 @ xz @ xx ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl125]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( aElement0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(m__2010,axiom,
    ( ( sdtpldt0 @ xx @ xy )
    = ( sdtasdt0 @ xc @ ( sdtpldt0 @ xu @ xv ) ) ) ).

thf(zip_derived_cl105,plain,
    ( ( sdtpldt0 @ xx @ xy )
    = ( sdtasdt0 @ xc @ ( sdtpldt0 @ xu @ xv ) ) ),
    inference(cnf,[status(esa)],[m__2010]) ).

thf(zip_derived_cl109,plain,
    ! [X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ xc @ X1 )
       != ( sdtpldt0 @ xx @ xy ) )
      | ~ ( aElementOf0 @ ( sdtasdt0 @ xz @ xx ) @ ( slsdtgt0 @ xc ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl115,plain,
    ( ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xc @ X1 )
         != ( sdtpldt0 @ xx @ xy ) ) )
   <= ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xc @ X1 )
         != ( sdtpldt0 @ xx @ xy ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl131,plain,
    ( ( ~ ( aElement0 @ ( sdtpldt0 @ xu @ xv ) )
      | ( ( sdtpldt0 @ xx @ xy )
       != ( sdtpldt0 @ xx @ xy ) ) )
   <= ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xc @ X1 )
         != ( sdtpldt0 @ xx @ xy ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl115]) ).

thf(zip_derived_cl132,plain,
    ( ~ ( aElement0 @ ( sdtpldt0 @ xu @ xv ) )
   <= ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xc @ X1 )
         != ( sdtpldt0 @ xx @ xy ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl131]) ).

thf(zip_derived_cl134,plain,
    ( ( ~ ( aElement0 @ xv )
      | ~ ( aElement0 @ xu ) )
   <= ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xc @ X1 )
         != ( sdtpldt0 @ xx @ xy ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl132]) ).

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

thf(zip_derived_cl104,plain,
    aElement0 @ xv,
    inference(cnf,[status(esa)],[m__1979]) ).

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

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

thf('0',plain,
    ~ ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xc @ X1 )
         != ( sdtpldt0 @ xx @ xy ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl104,zip_derived_cl102]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X1 )
      | ( ( sdtasdt0 @ xc @ X1 )
       != ( sdtpldt0 @ xx @ xy ) )
      | ( ( sdtasdt0 @ xc @ X0 )
       != ( sdtasdt0 @ xz @ xx ) )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ! [X0: $i] :
        ( ~ ( aElement0 @ X0 )
        | ( ( sdtasdt0 @ xc @ X0 )
         != ( sdtasdt0 @ xz @ xx ) ) )
    | ! [X1: $i] :
        ( ~ ( aElement0 @ X1 )
        | ( ( sdtasdt0 @ xc @ X1 )
         != ( sdtpldt0 @ xx @ xy ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl110]) ).

thf('2',plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( ( sdtasdt0 @ xc @ X0 )
       != ( sdtasdt0 @ xz @ xx ) ) ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl142,plain,
    ~ ( aElement0 @ ( sdtasdt0 @ xu @ xz ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl127,'2']) ).

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_cl152,plain,
    ( ~ ( aElement0 @ xu )
    | ~ ( aElement0 @ xz ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl142,zip_derived_cl5]) ).

thf(zip_derived_cl102_001,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__1956]) ).

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_cl159,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl102,zip_derived_cl100]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : RNG105+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DzrcWsdMKV true
% 0.12/0.32  % Computer : n023.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Aug 27 03:01:56 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
% 0.48/0.58  % Total configuration time : 435
% 0.48/0.58  % Estimated wc time : 1092
% 0.48/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.76  % Solved by fo/fo1_av.sh.
% 0.52/0.76  % done 49 iterations in 0.038s
% 0.52/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.76  % SZS output start Refutation
% See solution above
% 0.52/0.76  
% 0.52/0.76  
% 0.52/0.76  % Terminating...
% 0.52/0.81  % Runner terminated.
% 0.52/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------