TSTP Solution File: SWC001+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC001+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.gOyHRpYQPj true

% Computer : n004.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 21:28:23 EDT 2023

% Result   : Theorem 0.57s 0.78s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   38 (  16 unt;   9 typ;   0 def)
%            Number of atoms       :   81 (   9 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  200 (  38   ~;  30   |;  12   &; 110   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  14   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(duplicatefreeP_type,type,
    duplicatefreeP: $i > $o ).

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

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

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

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

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

thf(sk__14_type,type,
    sk__14: $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 )
                    | ~ ( duplicatefreeP @ W )
                    | ? [Y: $i] :
                        ( ( ( ( memberP @ X @ Y )
                            & ~ ( memberP @ W @ Y ) )
                          | ( ( memberP @ W @ Y )
                            & ~ ( memberP @ X @ Y ) ) )
                        & ( ssItem @ Y ) )
                    | ( ! [Z: $i] :
                          ( ( ssItem @ Z )
                         => ( ( ~ ( memberP @ V @ Z )
                              & ~ ( memberP @ U @ Z ) )
                            | ( ( memberP @ V @ Z )
                              & ( memberP @ U @ Z ) ) ) )
                      & ( duplicatefreeP @ U ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl46,plain,
    ( ~ ( memberP @ sk__11 @ sk__15 )
    | ~ ( memberP @ sk__12 @ sk__15 )
    | ~ ( duplicatefreeP @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    duplicatefreeP @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    sk__11 = sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl403,plain,
    duplicatefreeP @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl50]) ).

thf(zip_derived_cl406,plain,
    ( ~ ( memberP @ sk__11 @ sk__15 )
    | ~ ( memberP @ sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl403]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__14 @ X0 )
      | ~ ( memberP @ sk__13 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    sk__12 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_001,plain,
    sk__11 = sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl422,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__12 @ X0 )
      | ~ ( memberP @ sk__11 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl53,zip_derived_cl50]) ).

thf(zip_derived_cl426,plain,
    ( ~ ( memberP @ sk__11 @ sk__15 )
    | ~ ( ssItem @ sk__15 )
    | ~ ( memberP @ sk__11 @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl422]) ).

thf(zip_derived_cl48,plain,
    ( ( ssItem @ sk__15 )
    | ~ ( duplicatefreeP @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl403_002,plain,
    duplicatefreeP @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl50]) ).

thf(zip_derived_cl405,plain,
    ssItem @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl403]) ).

thf(zip_derived_cl428,plain,
    ( ~ ( memberP @ sk__11 @ sk__15 )
    | ~ ( memberP @ sk__11 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl405]) ).

thf(zip_derived_cl429,plain,
    ~ ( memberP @ sk__11 @ sk__15 ),
    inference(simplify,[status(thm)],[zip_derived_cl428]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__13 @ X0 )
      | ~ ( memberP @ sk__14 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_003,plain,
    sk__11 = sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_004,plain,
    sk__12 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl407,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__11 @ X0 )
      | ~ ( memberP @ sk__12 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50,zip_derived_cl53]) ).

thf(zip_derived_cl47,plain,
    ( ( memberP @ sk__11 @ sk__15 )
    | ( memberP @ sk__12 @ sk__15 )
    | ~ ( duplicatefreeP @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl429_005,plain,
    ~ ( memberP @ sk__11 @ sk__15 ),
    inference(simplify,[status(thm)],[zip_derived_cl428]) ).

thf(zip_derived_cl403_006,plain,
    duplicatefreeP @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl50]) ).

thf(zip_derived_cl440,plain,
    memberP @ sk__12 @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl429,zip_derived_cl403]) ).

thf(zip_derived_cl442,plain,
    ( ~ ( ssItem @ sk__15 )
    | ( memberP @ sk__11 @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl407,zip_derived_cl440]) ).

thf(zip_derived_cl405_007,plain,
    ssItem @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl403]) ).

thf(zip_derived_cl443,plain,
    memberP @ sk__11 @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl405]) ).

thf(zip_derived_cl445,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl443]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC001+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gOyHRpYQPj true
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 16:28:07 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
% 0.13/0.35  % Running in FO mode
% 0.52/0.66  % Total configuration time : 435
% 0.52/0.66  % Estimated wc time : 1092
% 0.52/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.78  % Solved by fo/fo3_bce.sh.
% 0.57/0.78  % BCE start: 56
% 0.57/0.78  % BCE eliminated: 0
% 0.57/0.78  % PE start: 56
% 0.57/0.78  logic: eq
% 0.57/0.78  % PE eliminated: 0
% 0.57/0.78  % done 40 iterations in 0.028s
% 0.57/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.78  % SZS output start Refutation
% See solution above
% 0.57/0.78  
% 0.57/0.78  
% 0.57/0.78  % Terminating...
% 0.61/0.85  % Runner terminated.
% 0.61/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------