TSTP Solution File: SWC179+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC179+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.TS5nM6LDTn true

% Computer : n012.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 21:29:41 EDT 2023

% Result   : Theorem 1.35s 0.83s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   44 (  13 unt;  13 typ;   0 def)
%            Number of atoms       :   85 (  36 equ;   0 cnn)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  163 (  19   ~;  23   |;  10   &;  90   @)
%                                         (   0 <=>;  15  =>;   6  <=;   0 <~>)
%            Maximal formula depth :   28 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  16   !;   4   ?;  20   :)

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

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

thf(sk__50_type,type,
    sk__50: $i ).

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

thf(lt_type,type,
    lt: $i > $i > $o ).

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

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

thf(sk__51_type,type,
    sk__51: $i ).

thf(sk__52_type,type,
    sk__52: $i ).

thf(sk__49_type,type,
    sk__49: $i ).

thf(sk__47_type,type,
    sk__47: $i ).

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

thf(zip_derived_cl192,plain,
    ~ ( duplicatefreeP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl219,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl193,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl249,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__47 )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl193]) ).

thf(zip_derived_cl195,plain,
    ( ( ssList @ sk__52 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ( nil = sk__49 )
   <= ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl195]) ).

thf(zip_derived_cl193_001,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl243,plain,
    ( ( sk__47 = nil )
   <= ( nil = sk__49 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl193]) ).

thf(zip_derived_cl192_002,plain,
    ~ ( duplicatefreeP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl244,plain,
    ( ~ ( duplicatefreeP @ nil )
   <= ( nil = sk__49 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl192]) ).

thf(ax72,axiom,
    duplicatefreeP @ nil ).

thf(zip_derived_cl160,plain,
    duplicatefreeP @ nil,
    inference(cnf,[status(esa)],[ax72]) ).

thf('0',plain,
    nil != sk__49,
    inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl160]) ).

thf(zip_derived_cl199,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf('2',plain,
    ( ( cons @ sk__51 @ nil )
    = sk__49 ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl250,plain,
    ( ( cons @ sk__51 @ nil )
    = sk__47 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl249,'2']) ).

thf(ax71,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ( duplicatefreeP @ ( cons @ U @ nil ) ) ) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i] :
      ( ( duplicatefreeP @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax71]) ).

thf(zip_derived_cl267,plain,
    ( ( duplicatefreeP @ sk__47 )
    | ~ ( ssItem @ sk__51 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl250,zip_derived_cl159]) ).

thf(zip_derived_cl206,plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl235,plain,
    ( ( ssItem @ sk__51 )
   <= ( ssItem @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl206]) ).

thf(zip_derived_cl207,plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('3',plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl207]) ).

thf('4',plain,
    ssItem @ sk__51,
    inference('sat_resolution*',[status(thm)],['0','3']) ).

thf(zip_derived_cl255,plain,
    ssItem @ sk__51,
    inference(simpl_trail,[status(thm)],[zip_derived_cl235,'4']) ).

thf(zip_derived_cl268,plain,
    duplicatefreeP @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl255]) ).

thf(zip_derived_cl269,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl268]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC179+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TS5nM6LDTn true
% 0.13/0.36  % Computer : n012.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Mon Aug 28 16:34:25 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.69  % Total configuration time : 435
% 0.21/0.69  % Estimated wc time : 1092
% 0.21/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.83  % Solved by fo/fo1_av.sh.
% 1.35/0.83  % done 79 iterations in 0.040s
% 1.35/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.83  % SZS output start Refutation
% See solution above
% 1.35/0.83  
% 1.35/0.83  
% 1.35/0.83  % Terminating...
% 1.68/0.89  % Runner terminated.
% 1.68/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------