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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO560^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9J4uop6E4o 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 Oct  2 05:07:56 PM UTC 2025

% Result   : Theorem 0.51s 0.81s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   58 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  161 (   9 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  204 (  34   ~;  15   |;   0   &; 136   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   6 usr;   7 con; 0-2 aty)
%                                         (   2  !!;   9  ??;   0 @@+;   0 @@-)
%            Number of variables   :   60 (  42   ^;  16   !;   2   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk3_type',type,
    '#sk3': $o ).

thf('#sk1_type',type,
    '#sk1': $o ).

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

thf(q_type,type,
    q: ( $o > $o ) > $o ).

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

thf('#sk2_type',type,
    '#sk2': $o ).

thf(qkf,axiom,
    ( q
    @ ^ [X: $o] : $false ) ).

thf(zip_derived_cl3,plain,
    ( q
    @ ^ [Y0: $o] : $false ),
    inference(cnf,[status(esa)],[qkf]) ).

thf(c,conjecture,
    q @ ( epsoo @ epso ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( q @ ( epsoo @ epso ) ),
    inference('cnf.neg',[status(esa)],[c]) ).

thf(zip_derived_cl5,plain,
    ~ ( q @ ( epsoo @ epso ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ( ( ^ [Y0: $o] : $false )
   != ( ^ [Y0: $o] :
          ( epsoo
          @ ^ [Y1: $o > $o] :
              ( epso
              @ ^ [Y2: $o] : ( Y1 @ Y2 ) )
          @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ( ( ^ [Y0: $o] : $false )
   != ( epsoo @ epso ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl21,plain,
    ( epsoo
    @ ^ [Y0: $o > $o] :
        ( epso
        @ ^ [Y1: $o] : ( Y0 @ Y1 ) )
    @ '#sk2' ),
    inference(neg_ext,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl22,plain,
    epsoo @ epso @ '#sk2',
    inference(ho_norm,[status(thm)],[zip_derived_cl21]) ).

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_cl31,plain,
    ! [X2: $o > $o] :
      ( ( ??
        @ ^ [Y0: $o] : ( X2 @ Y0 ) )
     => ( X2 @ ( epso @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $o > $o] :
      ( ~ ( ??
          @ ^ [Y0: $o] : ( X2 @ Y0 ) )
      | ( X2 @ ( epso @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $o > $o,X4: $o] :
      ( ~ ( X2 @ X4 )
      | ( X2 @ ( epso @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl31_001,plain,
    ! [X2: $o > $o] :
      ( ( ??
        @ ^ [Y0: $o] : ( X2 @ Y0 ) )
     => ( X2 @ ( epso @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl32,plain,
    ( ( ??
      @ ^ [Y0: $o] : Y0 )
   => ( epso
      @ ^ [Y0: $o] : Y0 ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl85,plain,
    ( ~ ( ??
        @ ^ [Y0: $o] : Y0 )
    | ( epso
      @ ^ [Y0: $o] : Y0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl86,plain,
    ! [X2: $o] :
      ( ~ X2
      | ( epso
        @ ^ [Y0: $o] : Y0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl89,plain,
    ( epso
    @ ^ [Y0: $o] : Y0 ),
    inference('ho.refine',[status(thm)],[zip_derived_cl86]) ).

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

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: ( $o > $o ) > $o] :
        ( ( ??
          @ ^ [Y1: $o > $o] : ( Y0 @ Y1 ) )
       => ( Y0 @ ( epsoo @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[choiceaxoo]) ).

thf(zip_derived_cl51,plain,
    ! [X2: ( $o > $o ) > $o] :
      ( ( ??
        @ ^ [Y0: $o > $o] : ( X2 @ Y0 ) )
     => ( X2 @ ( epsoo @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl53,plain,
    ! [X2: ( $o > $o ) > $o] :
      ( ~ ( ??
          @ ^ [Y0: $o > $o] : ( X2 @ Y0 ) )
      | ( X2 @ ( epsoo @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl54,plain,
    ! [X2: ( $o > $o ) > $o,X4: $o > $o] :
      ( ~ ( X2 @ X4 )
      | ( X2 @ ( epsoo @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl5_002,plain,
    ~ ( q @ ( epsoo @ epso ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    ! [X2: $o > $o] :
      ( ~ ( epso @ X2 )
      | ( epso @ ( epsoo @ epso ) ) ),
    inference('inst_choice((epso))',[status(thm)],[zip_derived_cl54,zip_derived_cl5]) ).

thf(zip_derived_cl97,plain,
    epso @ ( epsoo @ epso ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl58]) ).

thf(zip_derived_cl102,plain,
    ! [X2: $o] :
      ( ~ ( epsoo @ epso @ X2 )
      | ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) ) ),
    inference('inst_choice((epsoo @ epso))',[status(thm)],[zip_derived_cl35,zip_derived_cl97]) ).

thf(zip_derived_cl97_003,plain,
    epso @ ( epsoo @ epso ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl58]) ).

thf(qid,axiom,
    ( q
    @ ^ [X: $o] : X ) ).

thf(zip_derived_cl4,plain,
    ( q
    @ ^ [Y0: $o] : Y0 ),
    inference(cnf,[status(esa)],[qid]) ).

thf(zip_derived_cl5_004,plain,
    ~ ( q @ ( epsoo @ epso ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ( ( ^ [Y0: $o] : Y0 )
   != ( ^ [Y0: $o] :
          ( epsoo
          @ ^ [Y1: $o > $o] :
              ( epso
              @ ^ [Y2: $o] : ( Y1 @ Y2 ) )
          @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl19,plain,
    ( ( ^ [Y0: $o] : Y0 )
   != ( epsoo @ epso ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl24,plain,
    ( '#sk3'
   != ( epsoo
      @ ^ [Y0: $o > $o] :
          ( epso
          @ ^ [Y1: $o] : ( Y0 @ Y1 ) )
      @ '#sk3' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl25,plain,
    ( '#sk3'
   != ( epsoo @ epso @ '#sk3' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl28,plain,
    ( '#sk3'
    | ( epsoo @ epso @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl25]) ).

thf(qkt,axiom,
    ( q
    @ ^ [X: $o] : $true ) ).

thf(zip_derived_cl2,plain,
    ( q
    @ ^ [Y0: $o] : $true ),
    inference(cnf,[status(esa)],[qkt]) ).

thf(zip_derived_cl5_005,plain,
    ~ ( q @ ( epsoo @ epso ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ( ( ^ [Y0: $o] : $true )
   != ( ^ [Y0: $o] :
          ( epsoo
          @ ^ [Y1: $o > $o] :
              ( epso
              @ ^ [Y2: $o] : ( Y1 @ Y2 ) )
          @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ( ( ^ [Y0: $o] : $true )
   != ( epsoo @ epso ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ~ ( epsoo
      @ ^ [Y0: $o > $o] :
          ( epso
          @ ^ [Y1: $o] : ( Y0 @ Y1 ) )
      @ '#sk1' ),
    inference(neg_ext,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ~ ( epsoo @ epso @ '#sk1' ),
    inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl20,plain,
    ( '#sk1'
    | ~ ( epsoo @ epso @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl42,plain,
    ( '#sk3'
    | '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl20]) ).

thf(zip_derived_cl9_006,plain,
    ~ ( epsoo @ epso @ '#sk1' ),
    inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( epsoo @ epso @ $true )
    | '#sk3' ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl9]) ).

thf(zip_derived_cl25_007,plain,
    ( '#sk3'
   != ( epsoo @ epso @ '#sk3' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl27,plain,
    ( ~ '#sk3'
    | ~ ( epsoo @ epso @ '#sk3' ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl30,plain,
    ( ~ '#sk3'
    | ~ ( epsoo @ epso @ $true ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl73,plain,
    ~ ( epsoo @ epso @ $true ),
    inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl30]) ).

thf(zip_derived_cl105,plain,
    ! [X2: $o] :
      ~ ( epsoo @ epso @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl97,zip_derived_cl73]) ).

thf(zip_derived_cl22_008,plain,
    epsoo @ epso @ '#sk2',
    inference(ho_norm,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl23,plain,
    ( '#sk2'
    | ( epsoo @ epso @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl110,plain,
    '#sk2',
    inference('sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl23]) ).

thf(zip_derived_cl105_009,plain,
    ! [X2: $o] :
      ~ ( epsoo @ epso @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl97,zip_derived_cl73]) ).

thf(zip_derived_cl121,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl110,zip_derived_cl105]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SYO560^1 : TPTP v9.2.0. Released v5.2.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9J4uop6E4o true
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 17:58:23 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in HO mode
% 0.50/0.62  % Total configuration time : 828
% 0.50/0.62  % Estimated wc time : 1656
% 0.50/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.51/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.81  % Solved by lams/35_full_unif4.sh.
% 0.51/0.81  % done 39 iterations in 0.073s
% 0.51/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.81  % SZS output start Refutation
% See solution above
% 0.51/0.81  
% 0.51/0.81  
% 0.51/0.81  % Terminating...
% 1.59/0.98  % Runner terminated.
% 1.59/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------