TSTP Solution File: SWC030+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC030+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Fe4B1R2ttq true

% Computer : n015.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 21:28:38 EDT 2023

% Result   : Theorem 0.21s 0.80s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   70 (  34 unt;   9 typ;   0 def)
%            Number of atoms       :  133 (  90 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  218 (  56   ~;  53   |;   3   &;  90   @)
%                                         (   1 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $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__7_type,type,
    sk__7: $i ).

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

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__8_type,type,
    sk__8: $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_cl32,plain,
    ( ( app @ sk__8 @ sk__9 )
    = sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl155,plain,
    ( ( app @ sk__8 @ sk__9 )
    = sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl34]) ).

thf(zip_derived_cl31,plain,
    ( ( app @ sk__9 @ sk__8 )
    = sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154,plain,
    ( ( app @ sk__9 @ sk__8 )
    = sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl29]) ).

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

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl159,plain,
    ( ( nil != sk__4 )
    | ~ ( ssList @ sk__9 )
    | ( nil = sk__8 )
    | ~ ( ssList @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl19]) ).

thf(zip_derived_cl33,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl165,plain,
    ( ( nil != sk__4 )
    | ( nil = sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl33,zip_derived_cl30]) ).

thf(zip_derived_cl155_001,plain,
    ( ( app @ sk__8 @ sk__9 )
    = sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl34]) ).

thf(zip_derived_cl19_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl158,plain,
    ( ( nil != sk__5 )
    | ~ ( ssList @ sk__8 )
    | ( nil = sk__9 )
    | ~ ( ssList @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl19]) ).

thf(zip_derived_cl30_003,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33_004,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl164,plain,
    ( ( nil != sk__5 )
    | ( nil = sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl30,zip_derived_cl33]) ).

thf(zip_derived_cl154_005,plain,
    ( ( app @ sk__9 @ sk__8 )
    = sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl29]) ).

thf(zip_derived_cl167,plain,
    ( ( ( app @ nil @ sk__8 )
      = sk__4 )
    | ( nil != sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl154]) ).

thf(ax28,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ nil @ U )
        = U ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl220,plain,
    ( ( sk__4 = sk__8 )
    | ( nil != sk__5 )
    | ~ ( ssList @ sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl14]) ).

thf(zip_derived_cl30_006,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl227,plain,
    ( ( sk__4 = sk__8 )
    | ( nil != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl30]) ).

thf(zip_derived_cl155_007,plain,
    ( ( app @ sk__8 @ sk__9 )
    = sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl34]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl180,plain,
    ( ( nil != sk__5 )
    | ~ ( ssList @ sk__8 )
    | ( nil = sk__8 )
    | ~ ( ssList @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl20]) ).

thf(zip_derived_cl30_008,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33_009,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl186,plain,
    ( ( nil != sk__5 )
    | ( nil = sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl30,zip_derived_cl33]) ).

thf(zip_derived_cl234,plain,
    ( ( nil = sk__4 )
    | ( nil != sk__5 )
    | ( nil != sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl227,zip_derived_cl186]) ).

thf(zip_derived_cl239,plain,
    ( ( nil != sk__5 )
    | ( nil = sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl234]) ).

thf(zip_derived_cl25,plain,
    ( ( nil = sk__5 )
    | ( nil = sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240,plain,
    nil = sk__4,
    inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl25]) ).

thf(zip_derived_cl246,plain,
    ( ( nil != nil )
    | ( nil = sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl240]) ).

thf(zip_derived_cl247,plain,
    nil = sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl246]) ).

thf(zip_derived_cl253,plain,
    ( ( app @ nil @ sk__9 )
    = sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl247]) ).

thf(zip_derived_cl154_010,plain,
    ( ( app @ sk__9 @ sk__8 )
    = sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl29]) ).

thf(zip_derived_cl20_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl181,plain,
    ( ( nil != sk__4 )
    | ~ ( ssList @ sk__9 )
    | ( nil = sk__9 )
    | ~ ( ssList @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl20]) ).

thf(zip_derived_cl33_012,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_013,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl187,plain,
    ( ( nil != sk__4 )
    | ( nil = sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl33,zip_derived_cl30]) ).

thf(zip_derived_cl240_014,plain,
    nil = sk__4,
    inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl25]) ).

thf(zip_derived_cl249,plain,
    ( ( nil != nil )
    | ( nil = sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl240]) ).

thf(zip_derived_cl250,plain,
    nil = sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl249]) ).

thf(zip_derived_cl154_015,plain,
    ( ( app @ sk__9 @ sk__8 )
    = sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl29]) ).

thf(zip_derived_cl240_016,plain,
    nil = sk__4,
    inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl25]) ).

thf(zip_derived_cl245,plain,
    ( ( app @ sk__9 @ sk__8 )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl240]) ).

thf(zip_derived_cl250_017,plain,
    nil = sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl249]) ).

thf(zip_derived_cl247_018,plain,
    nil = sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl246]) ).

thf(zip_derived_cl259,plain,
    ( ( app @ nil @ nil )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl250,zip_derived_cl247]) ).

thf(zip_derived_cl266,plain,
    nil = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl250,zip_derived_cl259]) ).

thf(zip_derived_cl28,plain,
    ( ( nil != sk__4 )
    | ( nil != sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240_019,plain,
    nil = sk__4,
    inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl25]) ).

thf(zip_derived_cl242,plain,
    ( ( nil != nil )
    | ( nil != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl240]) ).

thf(zip_derived_cl243,plain,
    nil != sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl242]) ).

thf(zip_derived_cl267,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl266,zip_derived_cl243]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC030+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Fe4B1R2ttq true
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 15:38:55 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.80  % Solved by fo/fo3_bce.sh.
% 0.21/0.80  % BCE start: 37
% 0.21/0.80  % BCE eliminated: 0
% 0.21/0.80  % PE start: 37
% 0.21/0.80  logic: eq
% 0.21/0.80  % PE eliminated: 0
% 0.21/0.80  % done 55 iterations in 0.025s
% 0.21/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.80  % SZS output start Refutation
% See solution above
% 0.21/0.80  
% 0.21/0.80  
% 0.21/0.80  % Terminating...
% 1.23/0.85  % Runner terminated.
% 1.23/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------