TSTP Solution File: SWC095+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC095+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.GgRjUZC5Mo true

% Computer : n021.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 21:29:07 EDT 2023

% Result   : Theorem 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (  11 unt;   9 typ;   0 def)
%            Number of atoms       :   60 (  27 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  159 (  31   ~;  24   |;   8   &;  86   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 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(sk__5_type,type,
    sk__5: $i ).

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

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

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

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

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

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

thf(sk__10_type,type,
    sk__10: $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] :
                  ( ! [X2: $i] :
                      ( ( ssList @ X2 )
                     => ! [X3: $i] :
                          ( ( ssList @ X3 )
                         => ! [X4: $i] :
                              ( ( ( app @ X2 @ X4 )
                               != X )
                              | ( ( app @ ( app @ X2 @ X3 ) @ X4 )
                               != W )
                              | ~ ( ssList @ X4 ) ) ) )
                  | ? [Y: $i] :
                      ( ? [Z: $i] :
                          ( ? [X1: $i] :
                              ( ( ( app @ Y @ X1 )
                                = V )
                              & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                = U )
                              & ( 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 )
                                 != X )
                                | ( ( app @ ( app @ X2 @ X3 ) @ X4 )
                                 != W )
                                | ~ ( ssList @ X4 ) ) ) )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ( ( app @ Y @ X1 )
                                  = V )
                                & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                  = U )
                                & ( ssList @ X1 ) )
                            & ( ssList @ Z ) )
                        & ( ssList @ Y ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl29,plain,
    ( ( app @ ( app @ sk__8 @ sk__9 ) @ sk__10 )
    = sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    ( ( app @ ( app @ sk__8 @ sk__9 ) @ sk__10 )
    = sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl26]) ).

thf(zip_derived_cl30,plain,
    ( ( app @ sk__8 @ sk__10 )
    = sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ( ( app @ sk__8 @ sk__10 )
    = sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl32]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X1 @ X2 )
       != sk__5 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
       != sk__4 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( sk__5 != sk__5 )
      | ~ ( ssList @ sk__8 )
      | ~ ( ssList @ sk__10 )
      | ( ( app @ ( app @ sk__8 @ X0 ) @ sk__10 )
       != sk__4 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl25]) ).

thf(zip_derived_cl27,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( sk__5 != sk__5 )
      | ( ( app @ ( app @ sk__8 @ X0 ) @ sk__10 )
       != sk__4 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl27,zip_derived_cl28]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ ( app @ sk__8 @ X0 ) @ sk__10 )
       != sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl45,plain,
    ( ( sk__4 != sk__4 )
    | ~ ( ssList @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).

thf(zip_derived_cl31,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    sk__4 != sk__4,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl31]) ).

thf(zip_derived_cl48,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC095+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GgRjUZC5Mo true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 14:45:58 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.48/0.66  % Total configuration time : 435
% 0.48/0.66  % Estimated wc time : 1092
% 0.48/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.79  % Solved by fo/fo7.sh.
% 0.59/0.79  % done 19 iterations in 0.012s
% 0.59/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.79  % SZS output start Refutation
% See solution above
% 0.59/0.79  
% 0.59/0.79  
% 0.59/0.79  % Terminating...
% 0.59/0.87  % Runner terminated.
% 0.59/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------