↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC030+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.liWuiDB3KW true

% Computer : n013.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 04:58:20 PM UTC 2025

% Result   : Theorem 0.53s 0.86s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   70 (  39 unt;   0 typ;   0 def)
%            Number of atoms       :  146 ( 107 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  206 (  54   ~;  58   |;   3   &;  76   @)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

thf(nil_type,type,
    nil: $i ).

thf(app_type,type,
    app: $i > $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

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

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 )
                      | ! [Y: $i] :
                          ( ( ssList @ Y )
                         => ! [Z: $i] :
                              ( ( ssList @ Z )
                             => ( ( ( app @ Y @ Z )
                                 != X )
                                | ( ( app @ Z @ Y )
                                 != W ) ) ) )
                      | ( ( ( nil != V )
                          | ( nil = U ) )
                        & ( ( nil != U )
                          | ( nil = V ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl24,plain,
    ( ( app @ sk__7 @ sk__6 )
    = sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    sk__2 = sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ( ( app @ sk__7 @ sk__6 )
    = sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl18,plain,
    ( ( nil = sk__3 )
    | ( nil = sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ( ( app @ sk__6 @ sk__7 )
    = sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    sk__3 = sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ( ( app @ sk__6 @ sk__7 )
    = sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl27]) ).

thf(ax83,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( nil
              = ( app @ U @ V ) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl58,plain,
    ( ( nil != sk__3 )
    | ~ ( ssList @ sk__6 )
    | ( nil = sk__6 )
    | ~ ( ssList @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl13]) ).

thf(zip_derived_cl23,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ( ( nil != sk__3 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl23,zip_derived_cl26]) ).

thf(zip_derived_cl18_001,plain,
    ( ( nil = sk__3 )
    | ( nil = sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41_002,plain,
    ( ( app @ sk__7 @ sk__6 )
    = sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl46,plain,
    ( ( nil != sk__2 )
    | ~ ( ssList @ sk__7 )
    | ( nil = sk__6 )
    | ~ ( ssList @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl12]) ).

thf(zip_derived_cl26_003,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23_004,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ( ( nil != sk__2 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl26,zip_derived_cl23]) ).

thf(zip_derived_cl51,plain,
    ( ( nil != nil )
    | ( nil = sk__3 )
    | ( nil = sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl50]) ).

thf(zip_derived_cl52,plain,
    ( ( nil = sk__6 )
    | ( nil = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl64,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl64_005,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl71,plain,
    ( ( sk__6 = sk__3 )
    | ( sk__6 = sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl64,zip_derived_cl64]) ).

thf(zip_derived_cl41_006,plain,
    ( ( app @ sk__7 @ sk__6 )
    = sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl13_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl59,plain,
    ( ( nil != sk__2 )
    | ~ ( ssList @ sk__7 )
    | ( nil = sk__7 )
    | ~ ( ssList @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl13]) ).

thf(zip_derived_cl26_008,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23_009,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ( ( nil != sk__2 )
    | ( nil = sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl26,zip_derived_cl23]) ).

thf(zip_derived_cl64_010,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl64_011,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl75,plain,
    ( ( sk__6 != sk__2 )
    | ( sk__6 = sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl64,zip_derived_cl64]) ).

thf(zip_derived_cl79,plain,
    ( ( sk__6 != sk__6 )
    | ( sk__6 = sk__3 )
    | ( sk__6 = sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl75]) ).

thf(zip_derived_cl81,plain,
    ( ( sk__6 = sk__7 )
    | ( sk__6 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl42_012,plain,
    ( ( app @ sk__6 @ sk__7 )
    = sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl27]) ).

thf(zip_derived_cl12_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl45,plain,
    ( ( nil != sk__3 )
    | ~ ( ssList @ sk__6 )
    | ( nil = sk__7 )
    | ~ ( ssList @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl12]) ).

thf(zip_derived_cl23_014,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_015,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ( ( nil != sk__3 )
    | ( nil = sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl23,zip_derived_cl26]) ).

thf(zip_derived_cl64_016,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl64_017,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl74,plain,
    ( ( sk__6 != sk__3 )
    | ( sk__6 = sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl64,zip_derived_cl64]) ).

thf(zip_derived_cl82,plain,
    sk__6 = sk__7,
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl74]) ).

thf(zip_derived_cl84,plain,
    ( ( app @ sk__7 @ sk__7 )
    = sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl82]) ).

thf(zip_derived_cl42_018,plain,
    ( ( app @ sk__6 @ sk__7 )
    = sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl27]) ).

thf(zip_derived_cl82_019,plain,
    sk__6 = sk__7,
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl74]) ).

thf(zip_derived_cl85,plain,
    ( ( app @ sk__7 @ sk__7 )
    = sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl82]) ).

thf(zip_derived_cl98,plain,
    sk__3 = sk__2,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).

thf(zip_derived_cl71_020,plain,
    ( ( sk__6 = sk__3 )
    | ( sk__6 = sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl64,zip_derived_cl64]) ).

thf(zip_derived_cl82_021,plain,
    sk__6 = sk__7,
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl74]) ).

thf(zip_derived_cl82_022,plain,
    sk__6 = sk__7,
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl74]) ).

thf(zip_derived_cl88,plain,
    ( ( sk__7 = sk__3 )
    | ( sk__7 = sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl82,zip_derived_cl82]) ).

thf(zip_derived_cl103,plain,
    ( ( sk__7 = sk__3 )
    | ( sk__7 = sk__3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl88]) ).

thf(zip_derived_cl104,plain,
    sk__7 = sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl21,plain,
    ( ( nil != sk__2 )
    | ( nil != sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64_023,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl64_024,plain,
    nil = sk__6,
    inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl52]) ).

thf(zip_derived_cl72,plain,
    ( ( sk__6 != sk__2 )
    | ( sk__6 != sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl64,zip_derived_cl64]) ).

thf(zip_derived_cl82_025,plain,
    sk__6 = sk__7,
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl74]) ).

thf(zip_derived_cl82_026,plain,
    sk__6 = sk__7,
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl74]) ).

thf(zip_derived_cl89,plain,
    ( ( sk__7 != sk__2 )
    | ( sk__7 != sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl82,zip_derived_cl82]) ).

thf(zip_derived_cl98_027,plain,
    sk__3 = sk__2,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).

thf(zip_derived_cl101,plain,
    ( ( sk__7 != sk__3 )
    | ( sk__7 != sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl98]) ).

thf(zip_derived_cl102,plain,
    sk__7 != sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl105,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl104,zip_derived_cl102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SWC030+1 : TPTP v9.2.0. Released v2.4.0.
% 0.02/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.liWuiDB3KW true
% 0.12/0.32  % Computer : n013.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 : Wed Oct  1 17:12:23 EDT 2025
% 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
% 0.51/0.64  % Total configuration time : 435
% 0.51/0.64  % Estimated wc time : 1092
% 0.51/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.80  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.86  % Solved by fo/fo4.sh.
% 0.53/0.86  % done 47 iterations in 0.028s
% 0.53/0.86  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.86  % SZS output start Refutation
% See solution above
% 0.53/0.87  
% 0.53/0.87  
% 0.53/0.87  % Terminating...
% 1.70/1.03  % Runner terminated.
% 1.70/1.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------