TSTP Solution File: SWC398+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC398+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.6Yp39SY6fE true

% Computer : n001.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 21:31:19 EDT 2023

% Result   : Theorem 0.60s 0.85s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (  10 unt;  13 typ;   0 def)
%            Number of atoms       :   69 (  18 equ;   0 cnn)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  172 (  26   ~;  26   |;  10   &;  94   @)
%                                         (   1 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  20   !;   6   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__14_type,type,
    sk__14: $i ).

thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

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

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

thf(equalelemsP_type,type,
    equalelemsP: $i > $o ).

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

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(memberP_type,type,
    memberP: $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 )
                    | ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ( ( ( app @ W @ Y )
                           != X )
                          | ~ ( equalelemsP @ W )
                          | ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ? [X2: $i] :
                                      ( ( ( app @ X2 @ ( cons @ Z @ nil ) )
                                        = W )
                                      & ( ssList @ X2 ) )
                                  & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                    = Y )
                                  & ( ssList @ X1 ) )
                              & ( ssItem @ Z ) ) ) )
                    | ! [X3: $i] :
                        ( ( ssItem @ X3 )
                       => ( ~ ( memberP @ U @ X3 )
                          | ( memberP @ V @ X3 ) ) )
                    | ( ( nil != X )
                      & ( nil = W ) ) ) ) ) ) ) ).

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 )
                         => ( ( ( app @ W @ Y )
                             != X )
                            | ~ ( equalelemsP @ W )
                            | ? [Z: $i] :
                                ( ? [X1: $i] :
                                    ( ? [X2: $i] :
                                        ( ( ( app @ X2 @ ( cons @ Z @ nil ) )
                                          = W )
                                        & ( ssList @ X2 ) )
                                    & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                      = Y )
                                    & ( ssList @ X1 ) )
                                & ( ssItem @ Z ) ) ) )
                      | ! [X3: $i] :
                          ( ( ssItem @ X3 )
                         => ( ~ ( memberP @ U @ X3 )
                            | ( memberP @ V @ X3 ) ) )
                      | ( ( nil != X )
                        & ( nil = W ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl45,plain,
    ~ ( memberP @ sk__11 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ( ( app @ sk__12 @ sk__14 )
    = sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    sk__10 = sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    sk__11 = sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl339,plain,
    ( ( app @ sk__10 @ sk__14 )
    = sk__11 ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl48,zip_derived_cl54]) ).

thf(ax36,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( app @ V @ W ) @ U )
              <=> ( ( memberP @ V @ U )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X0 @ X1 )
      | ( memberP @ ( app @ X0 @ X2 ) @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl828,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__11 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__14 )
      | ~ ( memberP @ sk__10 @ X0 )
      | ~ ( ssList @ sk__10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl339,zip_derived_cl27]) ).

thf(zip_derived_cl50,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl837,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__11 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__10 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl828,zip_derived_cl50,zip_derived_cl43]) ).

thf(zip_derived_cl903,plain,
    ( ~ ( memberP @ sk__10 @ sk__15 )
    | ~ ( ssItem @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl837]) ).

thf(zip_derived_cl46,plain,
    memberP @ sk__10 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ssItem @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl905,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl903,zip_derived_cl46,zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC398+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6Yp39SY6fE true
% 0.14/0.36  % Computer : n001.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 15:32:20 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.85  % Solved by fo/fo3_bce.sh.
% 0.60/0.85  % BCE start: 57
% 0.60/0.85  % BCE eliminated: 0
% 0.60/0.85  % PE start: 57
% 0.60/0.85  logic: eq
% 0.60/0.85  % PE eliminated: 1
% 0.60/0.85  % done 130 iterations in 0.068s
% 0.60/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.85  % SZS output start Refutation
% See solution above
% 0.60/0.85  
% 0.60/0.85  
% 0.60/0.85  % Terminating...
% 1.56/0.94  % Runner terminated.
% 1.56/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------