TSTP Solution File: NUN069+1 by Zipperpin---2.1.9999

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m9oq44oGtp true

% Computer : n008.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 12:54:20 EDT 2023

% Result   : Theorem 0.20s 0.75s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   43 (   7 unt;  13 typ;   0 def)
%            Number of atoms       :   64 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  185 (  25   ~;  18   |;  12   &; 126   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :   54 (   0   ^;  46   !;   8   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(id_type,type,
    id: $i > $i > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $o ).

thf(r1_type,type,
    r1: $i > $o ).

thf(r2_type,type,
    r2: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(axiom_2,axiom,
    ! [X11: $i] :
    ? [Y21: $i] :
    ! [X12: $i] :
      ( ( ( id @ X12 @ Y21 )
        & ( r2 @ X11 @ X12 ) )
      | ( ~ ( r2 @ X11 @ X12 )
        & ~ ( id @ X12 @ Y21 ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [X12: $i,Y21: $i,X11: $i] :
      ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
     => ( ~ ( id @ X12 @ Y21 )
        & ~ ( r2 @ X11 @ X12 ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X12: $i,Y21: $i,X11: $i] :
      ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 )
     => ( ( r2 @ X11 @ X12 )
        & ( id @ X12 @ Y21 ) ) ) ).

thf(zf_stmt_4,axiom,
    ! [X11: $i] :
    ? [Y21: $i] :
    ! [X12: $i] :
      ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
      | ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ ( sk__1 @ X1 ) @ X1 )
      | ( zip_tseitin_2 @ X0 @ ( sk__1 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( r2 @ X0 @ X1 )
      | ~ ( zip_tseitin_2 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ ( sk__1 @ X1 ) @ X1 )
      | ( r2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( id @ X0 @ X1 )
      | ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i,X1: $i] :
      ( ( r2 @ X0 @ X1 )
      | ~ ( id @ X1 @ ( sk__1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl72,zip_derived_cl7]) ).

thf(oneidone,conjecture,
    ? [Y1: $i] :
      ( ? [Y2: $i] :
          ( ( r2 @ Y2 @ Y1 )
          & ( r1 @ Y2 ) )
      & ( id @ Y1 @ Y1 ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ? [Y1: $i] :
        ( ? [Y2: $i] :
            ( ( r2 @ Y2 @ Y1 )
            & ( r1 @ Y2 ) )
        & ( id @ Y1 @ Y1 ) ),
    inference('cnf.neg',[status(esa)],[oneidone]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( r2 @ X0 @ X1 )
      | ~ ( id @ X1 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(axiom_5,axiom,
    ! [X20: $i] : ( id @ X20 @ X20 ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] : ( id @ X0 @ X0 ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( r2 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl20]) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( id @ X0 @ ( sk__1 @ X1 ) )
      | ~ ( r1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl126]) ).

thf(zip_derived_cl20_001,plain,
    ! [X0: $i] : ( id @ X0 @ X0 ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ~ ( r1 @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl161,zip_derived_cl20]) ).

thf(axiom_1,axiom,
    ? [Y24: $i] :
    ! [X19: $i] :
      ( ( ( id @ X19 @ Y24 )
        & ( r1 @ X19 ) )
      | ( ~ ( r1 @ X19 )
        & ~ ( id @ X19 @ Y24 ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
     => ( ~ ( id @ X19 @ Y24 )
        & ~ ( r1 @ X19 ) ) ) ).

thf(zf_stmt_8,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_9,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_0 @ X19 @ Y24 )
     => ( ( r1 @ X19 )
        & ( id @ X19 @ Y24 ) ) ) ).

thf(zf_stmt_10,axiom,
    ? [Y24: $i] :
    ! [X19: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
      | ( zip_tseitin_0 @ X19 @ Y24 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ( zip_tseitin_0 @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1 @ X0 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ( r1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( id @ X0 @ X1 )
      | ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 )
      | ~ ( id @ X0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl2]) ).

thf(zip_derived_cl20_002,plain,
    ! [X0: $i] : ( id @ X0 @ X0 ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl122,plain,
    r1 @ sk_,
    inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl20]) ).

thf(zip_derived_cl170,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl122]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m9oq44oGtp true
% 0.13/0.34  % Computer : n008.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 : Sun Aug 27 10:02:32 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % Solved by fo/fo3_bce.sh.
% 0.20/0.75  % BCE start: 68
% 0.20/0.75  % BCE eliminated: 0
% 0.20/0.75  % PE start: 68
% 0.20/0.75  logic: neq
% 0.20/0.75  % PE eliminated: 25
% 0.20/0.75  % done 22 iterations in 0.020s
% 0.20/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.75  % SZS output start Refutation
% See solution above
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % Terminating...
% 0.20/0.86  % Runner terminated.
% 1.44/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------