↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC415+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yhfkvWirZF true

% Computer : n026.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 04:59:43 PM UTC 2025

% Result   : Theorem 1.03s 2.30s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   44 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :  132 (  52 equ;   0 cnn)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  273 (  62   ~;  61   |;  14   &; 123   @)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  29   !;   4   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nil_type,type,
    nil: $i ).

thf(sk__47_type,type,
    sk__47: $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(tl_type,type,
    tl: $i > $i ).

thf(sk__50_type,type,
    sk__50: $i ).

thf(sk__49_type,type,
    sk__49: $i ).

thf(sk__48_type,type,
    sk__48: $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ( ( ~ ( neq @ V @ nil )
                        | ? [Y: $i] :
                            ( ( neq @ nil @ X )
                            & ( ( tl @ X )
                              = Y )
                            & ( W != Y )
                            & ( ssList @ Y ) )
                        | ? [Z: $i] :
                            ( ( neq @ nil @ V )
                            & ( U = Z )
                            & ( ( tl @ V )
                              = Z )
                            & ( ssList @ Z ) ) )
                      & ( ~ ( neq @ V @ nil )
                        | ( neq @ X @ nil ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ( ( ~ ( neq @ V @ nil )
                          | ? [Y: $i] :
                              ( ( neq @ nil @ X )
                              & ( ( tl @ X )
                                = Y )
                              & ( W != Y )
                              & ( ssList @ Y ) )
                          | ? [Z: $i] :
                              ( ( neq @ nil @ V )
                              & ( U = Z )
                              & ( ( tl @ V )
                                = Z )
                              & ( ssList @ Z ) ) )
                        & ( ~ ( neq @ V @ nil )
                          | ( neq @ X @ nil ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl193,plain,
    ( ( neq @ sk__48 @ nil )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1566,plain,
    neq @ sk__48 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

thf(ax24,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( nil != U )
       => ( ssList @ ( tl @ U ) ) ) ) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] :
      ( ( nil = X0 )
      | ( ssList @ ( tl @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax24]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i] :
      ( ( ( tl @ sk__50 )
       != X0 )
      | ( sk__49 = X0 )
      | ~ ( ssList @ X0 )
      | ~ ( neq @ nil @ sk__50 )
      | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199_002,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1566_003,plain,
    neq @ sk__48 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl1603,plain,
    ! [X0: $i] :
      ( ( ( tl @ sk__48 )
       != X0 )
      | ( sk__47 = X0 )
      | ~ ( ssList @ X0 )
      | ~ ( neq @ nil @ sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl199,zip_derived_cl192,zip_derived_cl199,zip_derived_cl199,zip_derived_cl1566]) ).

thf(zip_derived_cl1712,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__48 )
      | ~ ( ssList @ sk__48 )
      | ( ( tl @ sk__48 )
       != X0 )
      | ( sk__47 = X0 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl1603]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl83,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl200,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199_004,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1559,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).

thf(zip_derived_cl1716,plain,
    ! [X0: $i] :
      ( ( nil = sk__48 )
      | ( ( tl @ sk__48 )
       != X0 )
      | ( sk__47 = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1712,zip_derived_cl83,zip_derived_cl1559]) ).

thf(zip_derived_cl81_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl198,plain,
    ! [X1: $i] :
      ( ( sk__47 != X1 )
      | ( ( tl @ sk__48 )
       != X1 )
      | ~ ( ssList @ X1 )
      | ~ ( neq @ nil @ sk__48 )
      | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199_006,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1566_007,plain,
    neq @ sk__48 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl1630,plain,
    ! [X1: $i] :
      ( ( sk__47 != X1 )
      | ( ( tl @ sk__48 )
       != X1 )
      | ~ ( ssList @ X1 )
      | ~ ( neq @ nil @ sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl199,zip_derived_cl1566]) ).

thf(zip_derived_cl1713,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ( nil = sk__48 )
      | ~ ( ssList @ sk__48 )
      | ( sk__47 != X0 )
      | ( ( tl @ sk__48 )
       != X0 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl1630]) ).

thf(zip_derived_cl83_008,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1559_009,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).

thf(zip_derived_cl1717,plain,
    ! [X0: $i] :
      ( ( nil = sk__48 )
      | ( sk__47 != X0 )
      | ( ( tl @ sk__48 )
       != X0 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1713,zip_derived_cl83,zip_derived_cl1559]) ).

thf(zip_derived_cl1738,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( tl @ sk__48 )
       != X0 )
      | ( nil = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1716,zip_derived_cl1717]) ).

thf(zip_derived_cl1739,plain,
    ( ( nil = sk__48 )
    | ~ ( ssList @ ( tl @ sk__48 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1738]) ).

thf(zip_derived_cl1740,plain,
    ( ~ ( ssList @ sk__48 )
    | ( nil = sk__48 )
    | ( nil = sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1739]) ).

thf(zip_derived_cl1559_010,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).

thf(zip_derived_cl1741,plain,
    ( ( nil = sk__48 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1740,zip_derived_cl1559]) ).

thf(zip_derived_cl1742,plain,
    nil = sk__48,
    inference(simplify,[status(thm)],[zip_derived_cl1741]) ).

thf(zip_derived_cl1745,plain,
    neq @ nil @ nil,
    inference(demod,[status(thm)],[zip_derived_cl1566,zip_derived_cl1742]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl1587,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl1588,plain,
    ! [X0: $i] :
      ( ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1587]) ).

thf(zip_derived_cl1757,plain,
    ~ ( ssList @ nil ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl1588]) ).

thf(zip_derived_cl83_011,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1758,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1757,zip_derived_cl83]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.95  % Problem  : SWC415+1 : TPTP v9.2.0. Released v2.4.0.
% 0.09/0.99  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yhfkvWirZF true
% 0.11/1.33  % Computer : n026.cluster.edu
% 0.11/1.33  % Model    : x86_64 x86_64
% 0.11/1.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.33  % Memory   : 8042.1875MB
% 0.11/1.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/1.33  % CPULimit : 300
% 0.11/1.33  % WCLimit  : 300
% 0.11/1.33  % DateTime : Wed Oct  1 17:10:24 EDT 2025
% 0.11/1.35  % CPUTime  : 
% 0.11/1.35  % Running portfolio for 300 s
% 0.11/1.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/1.36  % Number of cores: 8
% 0.14/1.38  % Python version: Python 3.6.8
% 0.14/1.39  % Running in FO mode
% 0.36/1.83  % Total configuration time : 435
% 0.36/1.83  % Estimated wc time : 1092
% 0.36/1.83  % Estimated cpu time (7 cpus) : 156.0
% 0.36/2.02  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.90/2.16  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.90/2.16  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.90/2.18  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.90/2.19  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.90/2.19  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.90/2.21  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.03/2.30  % Solved by fo/fo6_bce.sh.
% 1.03/2.30  % BCE start: 202
% 1.03/2.30  % BCE eliminated: 2
% 1.03/2.30  % PE start: 200
% 1.03/2.30  logic: eq
% 1.03/2.30  % PE eliminated: 6
% 1.03/2.30  % done 108 iterations in 0.160s
% 1.03/2.30  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.03/2.30  % SZS output start Refutation
% See solution above
% 1.03/2.31  
% 1.03/2.31  
% 1.03/2.31  % Terminating...
% 1.24/2.51  % Runner terminated.
% 1.24/2.53  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------