%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO559^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wh330fJmnb true

% Computer : n002.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 : Fri Sep  1 05:52:04 EDT 2023

% Result   : Theorem 1.02s 0.83s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :   85 (  10 equ;   2 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  137 (  15   ~;   9   |;   0   &;  90   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   45 (  45   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (   7 usr;   5 con; 0-6 aty)
%                                         (   4  !!;   8  ??;   0 @@+;   0 @@-)
%            Number of variables   :   40 (   7   ^;  19   !;   2   ?;  40   :)
%                                         (  12  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(epso_type,type,
    epso: ( $o > $o ) > $o ).

thf(epsoo_type,type,
    epsoo: ( ( $o > $o ) > $o ) > $o > $o ).

thf(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

thf(choiceaxo,axiom,
    ! [P: $o > $o] :
      ( ? [X: $o] : ( P @ X )
     => ( P @ ( epso @ P ) ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $o > $o] :
        ( ( ??
          @ ^ [Y1: $o] : ( Y0 @ Y1 ) )
       => ( Y0 @ ( epso @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[choiceaxo]) ).

thf(zip_derived_cl1,plain,
    !! @ ( '#S' @ ( '#B' @ (=>) @ ?? ) @ ( '#S' @ '#I' @ epso ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $o > $o] :
      ( ( ?? @ X2 )
     => ( X2 @ ( epso @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $o > $o] :
      ( ~ ( ?? @ X2 )
      | ( X2 @ ( epso @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $o > $o,X4: $o] :
      ( ~ ( X2 @ X4 )
      | ( X2 @ ( epso @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(c,conjecture,
    ( ( epsoo @ epso @ $false )
   => ( epsoo @ epso @ $true ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( epsoo @ epso @ $false )
     => ( epsoo @ epso @ $true ) ),
    inference('cnf.neg',[status(esa)],[c]) ).

thf(zip_derived_cl4,plain,
    ~ ( ( epsoo @ epso @ $false )
     => ( epsoo @ epso @ $true ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ~ ( epsoo @ epso @ $true ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $o > $o,X1: $o] :
      ( ~ ( epsoo @ epso @ ( X0 @ ( epso @ X0 ) ) )
      | ~ ( X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).

thf(zip_derived_cl100,plain,
    ~ ( epsoo @ epso @ ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl14]) ).

thf(choiceaxoo,axiom,
    ! [P: ( $o > $o ) > $o] :
      ( ? [X: $o > $o] : ( P @ X )
     => ( P @ ( epsoo @ P ) ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: ( $o > $o ) > $o] :
        ( ( ??
          @ ^ [Y1: $o > $o] : ( Y0 @ Y1 ) )
       => ( Y0 @ ( epsoo @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[choiceaxoo]) ).

thf(zip_derived_cl3,plain,
    !! @ ( '#S' @ ( '#B' @ (=>) @ ?? ) @ ( '#S' @ '#I' @ epsoo ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl10,plain,
    ! [X2: ( $o > $o ) > $o] :
      ( ( ?? @ X2 )
     => ( X2 @ ( epsoo @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl11,plain,
    ! [X2: ( $o > $o ) > $o] :
      ( ~ ( ?? @ X2 )
      | ( X2 @ ( epsoo @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ! [X2: ( $o > $o ) > $o,X4: $o > $o] :
      ( ~ ( X2 @ X4 )
      | ( X2 @ ( epsoo @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl9_001,plain,
    ! [X2: $o > $o,X4: $o] :
      ( ~ ( X2 @ X4 )
      | ( X2 @ ( epso @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $o] :
      ( ~ ( ^ [Y0: $o] : ( X0 = Y0 )
          @ X0 )
      | ( ^ [Y0: $o] : ( X0 = Y0 )
        @ ( epso
          @ ^ [Y0: $o] : ( X0 = Y0 ) ) ) ),
    inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $o] :
      ( ( X0 != X0 )
      | ( X0
        = ( epso @ ( $o = X0 ) ) ) ),
    inference('comb-normalize',[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $o] :
      ( X0
      = ( epso @ ( $o = X0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $o] :
      ( X0
      = ( epso @ ( $o = X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $o] :
      ( ~ X0
      | ( epso @ ( epsoo @ epso ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl45]) ).

thf(zip_derived_cl144,plain,
    epso @ ( epsoo @ epso ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl6_002,plain,
    ~ ( epsoo @ epso @ $true ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    epsoo @ epso @ $false,
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl153,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl144,zip_derived_cl6,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYO559^1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wh330fJmnb true
% 0.15/0.34  % Computer : n002.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Sat Aug 26 04:45:18 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in HO mode
% 0.21/0.64  % Total configuration time : 828
% 0.21/0.64  % Estimated wc time : 1656
% 0.21/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.71/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.87/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.87/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.87/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.87/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.87/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.87/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.87/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.87/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.87/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.87/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.87/0.80  % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 1.02/0.83  % Solved by lams/40_b.comb.sh.
% 1.02/0.83  % done 16 iterations in 0.043s
% 1.02/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.02/0.83  % SZS output start Refutation
% See solution above
% 1.02/0.83  
% 1.02/0.83  
% 1.02/0.83  % Terminating...
% 1.02/0.86  % Runner terminated.
% 1.02/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------