TSTP Solution File: SWC406+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC406+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.3GlwOuxdKz true

% Computer : n024.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 21:31:22 EDT 2023

% Result   : Theorem 1.33s 0.79s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   58 (  10 equ;   0 cnn)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  145 (  24   ~;  21   |;  14   &;  74   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  14   !;   4   ?;  18   :)

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

thf(sk__22_type,type,
    sk__22: $i ).

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

thf(sk__19_type,type,
    sk__19: $i ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(sk__18_type,type,
    sk__18: $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] :
                        ( ( ( ( ? [Z: $i] :
                                  ( ( leq @ Z @ Y )
                                  & ( memberP @ X @ Z )
                                  & ( Y != Z )
                                  & ( ssItem @ Z ) )
                              | ~ ( memberP @ X @ Y ) )
                            & ( memberP @ W @ Y ) )
                          | ( ( memberP @ X @ Y )
                            & ! [Z: $i] :
                                ( ( ssItem @ Z )
                               => ( ~ ( memberP @ X @ Z )
                                  | ~ ( leq @ Z @ Y )
                                  | ( Y = Z ) ) )
                            & ~ ( memberP @ W @ Y ) ) )
                        & ( ssItem @ Y ) )
                    | ! [X1: $i] :
                        ( ( ssItem @ X1 )
                       => ( ~ ( memberP @ U @ X1 )
                          | ( memberP @ V @ X1 ) ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl87,plain,
    ~ ( memberP @ sk__18 @ sk__22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__19 @ X0 )
      | ( memberP @ sk__20 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl736,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__17 @ X0 )
      | ( memberP @ sk__18 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl90,zip_derived_cl97]) ).

thf(zip_derived_cl738,plain,
    ( ~ ( ssItem @ sk__22 )
    | ~ ( memberP @ sk__17 @ sk__22 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl736]) ).

thf(zip_derived_cl89,plain,
    ssItem @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    memberP @ sk__17 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl739,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl738,zip_derived_cl89,zip_derived_cl88]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC406+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3GlwOuxdKz true
% 0.14/0.35  % Computer : n024.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 18:21:38 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
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.33/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.79  % Solved by fo/fo3_bce.sh.
% 1.33/0.79  % BCE start: 100
% 1.33/0.79  % BCE eliminated: 2
% 1.33/0.79  % PE start: 98
% 1.33/0.79  logic: eq
% 1.33/0.79  % PE eliminated: 0
% 1.33/0.79  % done 36 iterations in 0.035s
% 1.33/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.79  % SZS output start Refutation
% See solution above
% 1.33/0.79  
% 1.33/0.79  
% 1.33/0.79  % Terminating...
% 1.33/0.85  % Runner terminated.
% 1.33/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------