%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wGpj9UBbZP true

% Computer : n028.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 12:54:21 EDT 2023

% Result   : Theorem 0.21s 0.72s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   31 (   7 unt;  10 typ;   0 def)
%            Number of atoms       :   45 (  11 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   96 (  13   ~;   8   |;  14   &;  59   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :   36 (   0   ^;  24   !;  12   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r3_type,type,
    r3: $i > $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i > $i > $i ).

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

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

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

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

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

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

thf(axiom_1a,axiom,
    ! [X1: $i,X8: $i] :
    ? [Y4: $i] :
      ( ? [Y7: $i] :
          ( ( r3 @ X1 @ X8 @ Y7 )
          & ( r2 @ Y7 @ Y4 ) )
      & ? [Y5: $i] :
          ( ( Y5 = Y4 )
          & ? [Y15: $i] :
              ( ( r3 @ X1 @ Y15 @ Y5 )
              & ( r2 @ X8 @ Y15 ) ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

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

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y1: $i] :
        ( ? [Y2: $i] :
            ( ( r2 @ Y2 @ Y1 )
            & ( r1 @ Y2 ) )
        & ( Y1 = Y1 ) ),
    inference('cnf.neg',[status(esa)],[oneeqone]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2 @ X0 @ X1 )
      | ~ ( r1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    ! [X1: $i] :
      ~ ( r1 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl44]) ).

thf(axiom_4a,axiom,
    ! [X4: $i] :
    ? [Y9: $i] :
      ( ( Y9 = X4 )
      & ? [Y16: $i] :
          ( ( r3 @ X4 @ Y16 @ Y9 )
          & ( r1 @ Y16 ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

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

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
     => ( ( X19 = Y24 )
        & ( r1 @ X19 ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_0 @ X19 @ Y24 )
     => ( ( X19 != Y24 )
        & ~ ( r1 @ X19 ) ) ) ).

thf(zf_stmt_5,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_5]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ~ ( r1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl175,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ X0 )
      | ( X0 = sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl164,zip_derived_cl2]) ).

thf(zip_derived_cl32_001,plain,
    ! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(zip_derived_cl220,plain,
    ! [X0: $i] :
      ( ( sk__13 @ X0 )
      = sk_ ),
    inference('s_sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl32]) ).

thf(zip_derived_cl224,plain,
    r1 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl220]) ).

thf(zip_derived_cl228,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl224]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wGpj9UBbZP true
% 0.13/0.34  % Computer : n028.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 09:32:38 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
% 0.21/0.61  % Total configuration time : 435
% 0.21/0.61  % Estimated wc time : 1092
% 0.21/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % Solved by fo/fo6_bce.sh.
% 0.21/0.72  % BCE start: 45
% 0.21/0.72  % BCE eliminated: 0
% 0.21/0.72  % PE start: 45
% 0.21/0.72  logic: eq
% 0.21/0.72  % PE eliminated: 17
% 0.21/0.72  % done 9 iterations in 0.013s
% 0.21/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.72  % SZS output start Refutation
% See solution above
% 0.21/0.72  
% 0.21/0.72  
% 0.21/0.72  % Terminating...
% 0.21/0.84  % Runner terminated.
% 0.21/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------