↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG116+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k3Bt9HdKd2 true

% Computer : n029.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 Oct  2 04:50:35 PM UTC 2025

% Result   : Theorem 87.16s 13.10s
% Output   : Refutation 87.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   34 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   70 (  20 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  221 (  30   ~;  24   |;   9   &; 155   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  21   !;   5   ?;  26   :)

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

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

thf(xk_type,type,
    xk: $i ).

thf(xa_type,type,
    xa: $i ).

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

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

thf(sk__19_type,type,
    sk__19: $i > $i > $i ).

thf(xl_type,type,
    xl: $i ).

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(m__2456,axiom,
    ( ( xu
      = ( sdtpldt0 @ xk @ xl ) )
    & ( aElementOf0 @ xl @ ( slsdtgt0 @ xb ) )
    & ( aElementOf0 @ xk @ ( slsdtgt0 @ xa ) ) ) ).

thf(zip_derived_cl111,plain,
    aElementOf0 @ xl @ ( slsdtgt0 @ xb ),
    inference(cnf,[status(esa)],[m__2456]) ).

thf(mDefPrIdeal,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ! [W1: $i] :
          ( ( W1
            = ( slsdtgt0 @ W0 ) )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
              <=> ? [W3: $i] :
                    ( ( ( sdtasdt0 @ W0 @ W3 )
                      = W2 )
                    & ( aElement0 @ W3 ) ) ) ) ) ) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( slsdtgt0 @ X0 ) )
      | ( ( sdtasdt0 @ X0 @ ( sk__19 @ X2 @ X0 ) )
        = X2 )
      | ~ ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefPrIdeal]) ).

thf(zip_derived_cl2245,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( slsdtgt0 @ X0 ) )
      | ( ( sdtasdt0 @ X0 @ ( sk__19 @ X1 @ X0 ) )
        = X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl43265,plain,
    ( ~ ( aElement0 @ xb )
    | ( ( sdtasdt0 @ xb @ ( sk__19 @ xl @ xb ) )
      = xl ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl2245]) ).

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

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

thf(zip_derived_cl43301,plain,
    ( ( sdtasdt0 @ xb @ ( sk__19 @ xl @ xb ) )
    = xl ),
    inference(demod,[status(thm)],[zip_derived_cl43265,zip_derived_cl94]) ).

thf(zip_derived_cl112,plain,
    aElementOf0 @ xk @ ( slsdtgt0 @ xa ),
    inference(cnf,[status(esa)],[m__2456]) ).

thf(zip_derived_cl2245_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( slsdtgt0 @ X0 ) )
      | ( ( sdtasdt0 @ X0 @ ( sk__19 @ X1 @ X0 ) )
        = X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl43264,plain,
    ( ~ ( aElement0 @ xa )
    | ( ( sdtasdt0 @ xa @ ( sk__19 @ xk @ xa ) )
      = xk ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl2245]) ).

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

thf(zip_derived_cl43300,plain,
    ( ( sdtasdt0 @ xa @ ( sk__19 @ xk @ xa ) )
    = xk ),
    inference(demod,[status(thm)],[zip_derived_cl43264,zip_derived_cl95]) ).

thf(m__,conjecture,
    ? [W0: $i,W1: $i] :
      ( ( xu
        = ( sdtpldt0 @ ( sdtasdt0 @ xa @ W0 ) @ ( sdtasdt0 @ xb @ W1 ) ) )
      & ( aElement0 @ W1 )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i,W1: $i] :
        ( ( xu
          = ( sdtpldt0 @ ( sdtasdt0 @ xa @ W0 ) @ ( sdtasdt0 @ xb @ W1 ) ) )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( xu
       != ( sdtpldt0 @ ( sdtasdt0 @ xa @ X0 ) @ ( sdtasdt0 @ xb @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80974,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ ( sk__19 @ xk @ xa ) )
      | ~ ( aElement0 @ X0 )
      | ( xu
       != ( sdtpldt0 @ xk @ ( sdtasdt0 @ xb @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43300,zip_derived_cl113]) ).

thf(zip_derived_cl112_002,plain,
    aElementOf0 @ xk @ ( slsdtgt0 @ xa ),
    inference(cnf,[status(esa)],[m__2456]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( slsdtgt0 @ X0 ) )
      | ( aElement0 @ ( sk__19 @ X2 @ X0 ) )
      | ~ ( aElementOf0 @ X2 @ X1 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefPrIdeal]) ).

thf(zip_derived_cl2257,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( slsdtgt0 @ X0 ) )
      | ( aElement0 @ ( sk__19 @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl43314,plain,
    ( ~ ( aElement0 @ xa )
    | ( aElement0 @ ( sk__19 @ xk @ xa ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl2257]) ).

thf(zip_derived_cl95_003,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl43349,plain,
    aElement0 @ ( sk__19 @ xk @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl43314,zip_derived_cl95]) ).

thf(zip_derived_cl81082,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ( xu
       != ( sdtpldt0 @ xk @ ( sdtasdt0 @ xb @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl80974,zip_derived_cl43349]) ).

thf(zip_derived_cl85081,plain,
    ( ~ ( aElement0 @ ( sk__19 @ xl @ xb ) )
    | ( xu
     != ( sdtpldt0 @ xk @ xl ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43301,zip_derived_cl81082]) ).

thf(zip_derived_cl111_004,plain,
    aElementOf0 @ xl @ ( slsdtgt0 @ xb ),
    inference(cnf,[status(esa)],[m__2456]) ).

thf(zip_derived_cl2257_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElementOf0 @ X1 @ ( slsdtgt0 @ X0 ) )
      | ( aElement0 @ ( sk__19 @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl43315,plain,
    ( ~ ( aElement0 @ xb )
    | ( aElement0 @ ( sk__19 @ xl @ xb ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl2257]) ).

thf(zip_derived_cl94_006,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__2091]) ).

thf(zip_derived_cl43350,plain,
    aElement0 @ ( sk__19 @ xl @ xb ),
    inference(demod,[status(thm)],[zip_derived_cl43315,zip_derived_cl94]) ).

thf(zip_derived_cl110,plain,
    ( xu
    = ( sdtpldt0 @ xk @ xl ) ),
    inference(cnf,[status(esa)],[m__2456]) ).

thf(zip_derived_cl85177,plain,
    xu != xu,
    inference(demod,[status(thm)],[zip_derived_cl85081,zip_derived_cl43350,zip_derived_cl110]) ).

thf(zip_derived_cl85178,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl85177]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : RNG116+1 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k3Bt9HdKd2 true
% 0.13/0.34  % Computer : n029.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 : Wed Oct  1 17:24:53 EDT 2025
% 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 87.16/13.10  % Solved by fo/fo13.sh.
% 87.16/13.10  % done 6778 iterations in 12.341s
% 87.16/13.10  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 87.16/13.10  % SZS output start Refutation
% See solution above
% 87.16/13.10  
% 87.16/13.10  
% 87.16/13.10  % Terminating...
% 87.65/13.19  % Runner terminated.
% 87.65/13.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------