TSTP Solution File: SWC006+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC006+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.YSjHZQCrce true

% Computer : n003.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 21:28:26 EDT 2023

% Result   : Theorem 1.27s 0.76s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   57 (  24 equ;   0 cnn)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  149 (  30   ~;  25   |;   8   &;  76   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 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   :   26 (   0   ^;  20   !;   6   ?;  26   :)

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

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

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

thf(sk__type,type,
    sk_: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

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

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

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ! [X2: $i] :
                      ( ( ssList @ X2 )
                     => ! [X3: $i] :
                          ( ( ssList @ X3 )
                         => ! [X4: $i] :
                              ( ( ( app @ X2 @ X4 )
                               != W )
                              | ( ( app @ ( app @ X2 @ X3 ) @ X4 )
                               != X )
                              | ~ ( ssList @ X4 ) ) ) )
                  | ? [Y: $i] :
                      ( ? [Z: $i] :
                          ( ? [X1: $i] :
                              ( ( ( app @ Y @ X1 )
                                = U )
                              & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                = V )
                              & ( ssList @ X1 ) )
                          & ( ssList @ Z ) )
                      & ( ssList @ Y ) )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ! [X2: $i] :
                        ( ( ssList @ X2 )
                       => ! [X3: $i] :
                            ( ( ssList @ X3 )
                           => ! [X4: $i] :
                                ( ( ( app @ X2 @ X4 )
                                 != W )
                                | ( ( app @ ( app @ X2 @ X3 ) @ X4 )
                                 != X )
                                | ~ ( ssList @ X4 ) ) ) )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ( ( app @ Y @ X1 )
                                  = U )
                                & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                  = V )
                                & ( ssList @ X1 ) )
                            & ( ssList @ Z ) )
                        & ( ssList @ Y ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl17,plain,
    ( ( app @ ( app @ sk__4 @ sk__5 ) @ sk__6 )
    = sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X1 @ X2 )
       != sk_ )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
       != sk__1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    sk_ = sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    sk__1 = sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X1 @ X2 )
       != sk__2 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
       != sk__3 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl14,zip_derived_cl20]) ).

thf(zip_derived_cl79,plain,
    ( ( sk__3 != sk__3 )
    | ~ ( ssList @ sk__4 )
    | ~ ( ssList @ sk__6 )
    | ( ( app @ sk__4 @ sk__6 )
     != sk__2 )
    | ~ ( ssList @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl77]) ).

thf(zip_derived_cl15,plain,
    ssList @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ( ( app @ sk__4 @ sk__6 )
    = sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    ( ( sk__3 != sk__3 )
    | ( sk__2 != sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl15,zip_derived_cl16,zip_derived_cl18,zip_derived_cl19]) ).

thf(zip_derived_cl85,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC006+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YSjHZQCrce true
% 0.13/0.35  % Computer : n003.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 18:20:10 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
% 0.55/0.60  % Total configuration time : 435
% 0.55/0.60  % Estimated wc time : 1092
% 0.55/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.76  % Solved by fo/fo4.sh.
% 1.27/0.76  % done 26 iterations in 0.036s
% 1.27/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.76  % SZS output start Refutation
% See solution above
% 1.27/0.76  
% 1.27/0.76  
% 1.27/0.76  % Terminating...
% 1.27/0.81  % Runner terminated.
% 1.27/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------