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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO017+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gbyGsBbnSo true

% Computer : n027.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 04:49:24 PM UTC 2025

% Result   : Theorem 32.30s 5.28s
% Output   : Refutation 32.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  158 (  59 unt;   0 typ;   0 def)
%            Number of atoms       :  395 (  31 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives : 1549 ( 162   ~; 195   |;  31   &;1150   @)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   8 con; 0-3 aty)
%            Number of variables   :  168 (   0   ^; 156   !;  12   ?; 168   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__10_type,type,
    sk__10: $i > $i ).

thf(tptp1_type,type,
    tptp1: $i ).

thf(arboreal_type,type,
    arboreal: $i > $o ).

thf(root_type,type,
    root: $i > $i > $o ).

thf(occurrence_of_type,type,
    occurrence_of: $i > $i > $o ).

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(tptp3_type,type,
    tptp3: $i ).

thf(sk__8_type,type,
    sk__8: $i > $i ).

thf(next_subocc_type,type,
    next_subocc: $i > $i > $i > $o ).

thf(tptp4_type,type,
    tptp4: $i ).

thf(sk__9_type,type,
    sk__9: $i > $i ).

thf(tptp0_type,type,
    tptp0: $i ).

thf(min_precedes_type,type,
    min_precedes: $i > $i > $i > $o ).

thf(subactivity_occurrence_type,type,
    subactivity_occurrence: $i > $i > $o ).

thf(leaf_type,type,
    leaf: $i > $i > $o ).

thf(atomic_type,type,
    atomic: $i > $o ).

thf(tptp2_type,type,
    tptp2: $i ).

thf(leaf_occ_type,type,
    leaf_occ: $i > $i > $o ).

thf(sk__4_type,type,
    sk__4: $i > $i > $i > $i ).

thf(goals,conjecture,
    ! [X111: $i,X112: $i] :
      ( ( ( occurrence_of @ X112 @ tptp0 )
        & ( subactivity_occurrence @ X111 @ X112 )
        & ( arboreal @ X111 )
        & ~ ( leaf_occ @ X111 @ X112 ) )
     => ? [X113: $i,X114: $i] :
          ( ( leaf @ X114 @ tptp0 )
          & ( min_precedes @ X113 @ X114 @ tptp0 )
          & ( ( occurrence_of @ X114 @ tptp1 )
            | ( occurrence_of @ X114 @ tptp2 ) )
          & ( next_subocc @ X111 @ X113 @ tptp0 )
          & ( occurrence_of @ X113 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X111: $i,X112: $i] :
        ( ( ( occurrence_of @ X112 @ tptp0 )
          & ( subactivity_occurrence @ X111 @ X112 )
          & ( arboreal @ X111 )
          & ~ ( leaf_occ @ X111 @ X112 ) )
       => ? [X113: $i,X114: $i] :
            ( ( leaf @ X114 @ tptp0 )
            & ( min_precedes @ X113 @ X114 @ tptp0 )
            & ( ( occurrence_of @ X114 @ tptp1 )
              | ( occurrence_of @ X114 @ tptp2 ) )
            & ( next_subocc @ X111 @ X113 @ tptp0 )
            & ( occurrence_of @ X113 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl49,plain,
    subactivity_occurrence @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    occurrence_of @ sk__12 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_35,axiom,
    ! [X105: $i,X106: $i] :
      ( ( ( occurrence_of @ X106 @ tptp0 )
        & ( subactivity_occurrence @ X105 @ X106 )
        & ( arboreal @ X105 )
        & ~ ( leaf_occ @ X105 @ X106 ) )
     => ? [X107: $i,X108: $i,X109: $i] :
          ( ! [X110: $i] :
              ( ( min_precedes @ X107 @ X110 @ tptp0 )
             => ( ( X110 = X108 )
                | ( X110 = X109 ) ) )
          & ( min_precedes @ X108 @ X109 @ tptp0 )
          & ( ( occurrence_of @ X109 @ tptp1 )
            | ( occurrence_of @ X109 @ tptp2 ) )
          & ( min_precedes @ X107 @ X108 @ tptp0 )
          & ( occurrence_of @ X108 @ tptp4 )
          & ( next_subocc @ X105 @ X107 @ tptp0 )
          & ( occurrence_of @ X107 @ tptp3 ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__8 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl1977,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__12 )
      | ~ ( subactivity_occurrence @ X0 @ sk__12 )
      | ~ ( arboreal @ X0 )
      | ( next_subocc @ X0 @ ( sk__8 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl32]) ).

thf(zip_derived_cl3582,plain,
    ( ( next_subocc @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0 )
    | ~ ( arboreal @ sk__11 )
    | ( leaf_occ @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1977]) ).

thf(zip_derived_cl51,plain,
    arboreal @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ~ ( leaf_occ @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3583,plain,
    next_subocc @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl3582,zip_derived_cl51,zip_derived_cl48]) ).

thf(sos_22,axiom,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( next_subocc @ X60 @ X61 @ X62 )
    <=> ( ( min_precedes @ X60 @ X61 @ X62 )
        & ~ ? [X63: $i] :
              ( ( min_precedes @ X63 @ X61 @ X62 )
              & ( min_precedes @ X60 @ X63 @ X62 ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl3595,plain,
    min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl3583,zip_derived_cl12]) ).

thf(sos_25,axiom,
    ! [X69: $i,X70: $i,X71: $i] :
      ( ( min_precedes @ X70 @ X71 @ X69 )
     => ? [X72: $i] :
          ( ( subactivity_occurrence @ X71 @ X72 )
          & ( subactivity_occurrence @ X70 @ X72 )
          & ( occurrence_of @ X72 @ X69 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__4 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__4 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl32_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__8 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl1961,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( next_subocc @ X2 @ ( sk__8 @ X2 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl32]) ).

thf(zip_derived_cl2950,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( next_subocc @ X1 @ ( sk__8 @ X1 ) @ tptp0 )
      | ~ ( arboreal @ X1 )
      | ( leaf_occ @ X1 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1961]) ).

thf(zip_derived_cl2958,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X1 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X1 )
      | ( next_subocc @ X1 @ ( sk__8 @ X1 ) @ tptp0 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2950]) ).

thf(zip_derived_cl3615,plain,
    ( ( next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 )
    | ~ ( arboreal @ ( sk__8 @ sk__11 ) )
    | ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3595,zip_derived_cl2958]) ).

thf(zip_derived_cl49_002,plain,
    subactivity_occurrence @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_003,plain,
    occurrence_of @ sk__12 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__8 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl2119,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__12 )
      | ~ ( subactivity_occurrence @ X0 @ sk__12 )
      | ~ ( arboreal @ X0 )
      | ( occurrence_of @ ( sk__8 @ X0 ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl33]) ).

thf(zip_derived_cl2207,plain,
    ( ( occurrence_of @ ( sk__8 @ sk__11 ) @ tptp3 )
    | ~ ( arboreal @ sk__11 )
    | ( leaf_occ @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl2119]) ).

thf(zip_derived_cl51_004,plain,
    arboreal @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_005,plain,
    ~ ( leaf_occ @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2208,plain,
    occurrence_of @ ( sk__8 @ sk__11 ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl2207,zip_derived_cl51,zip_derived_cl48]) ).

thf(sos_07,axiom,
    ! [X16: $i,X17: $i] :
      ( ( occurrence_of @ X16 @ X17 )
     => ( ( arboreal @ X16 )
      <=> ( atomic @ X17 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_07]) ).

thf(zip_derived_cl2211,plain,
    ( ( arboreal @ ( sk__8 @ sk__11 ) )
    | ~ ( atomic @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2208,zip_derived_cl1]) ).

thf(sos_41,axiom,
    atomic @ tptp3 ).

thf(zip_derived_cl41,plain,
    atomic @ tptp3,
    inference(cnf,[status(esa)],[sos_41]) ).

thf(zip_derived_cl2218,plain,
    arboreal @ ( sk__8 @ sk__11 ),
    inference(demod,[status(thm)],[zip_derived_cl2211,zip_derived_cl41]) ).

thf(zip_derived_cl3627,plain,
    ( ( next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3615,zip_derived_cl2218]) ).

thf(zip_derived_cl18_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__4 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(sos_34,axiom,
    ! [X102: $i,X103: $i] :
      ( ( leaf_occ @ X102 @ X103 )
    <=> ? [X104: $i] :
          ( ( leaf @ X102 @ X104 )
          & ( subactivity_occurrence @ X102 @ X103 )
          & ( occurrence_of @ X103 @ X104 ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__7 @ X0 @ X1 ) )
      | ~ ( leaf_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(sos_02,axiom,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ( ( occurrence_of @ X4 @ X5 )
        & ( occurrence_of @ X4 @ X6 ) )
     => ( X5 = X6 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_02]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ( ( sk__7 @ X1 @ X0 )
        = X2 )
      | ~ ( occurrence_of @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl0]) ).

thf(zip_derived_cl1102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X1 @ X2 @ X0 )
      | ( ( sk__7 @ ( sk__4 @ X2 @ X1 @ X0 ) @ X3 )
        = X0 )
      | ~ ( leaf_occ @ X3 @ ( sk__4 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl70]) ).

thf(zip_derived_cl3627_007,plain,
    ( ( next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3615,zip_derived_cl2218]) ).

thf(zip_derived_cl9603,plain,
    ( ( ( sk__7 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) @ ( sk__8 @ sk__11 ) )
      = tptp0 )
    | ~ ( min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0 )
    | ( next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1102,zip_derived_cl3627]) ).

thf(zip_derived_cl3595_008,plain,
    min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl3583,zip_derived_cl12]) ).

thf(zip_derived_cl9607,plain,
    ( ( ( sk__7 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) @ ( sk__8 @ sk__11 ) )
      = tptp0 )
    | ( next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9603,zip_derived_cl3595]) ).

thf(zip_derived_cl49_009,plain,
    subactivity_occurrence @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_010,plain,
    occurrence_of @ sk__12 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl1563,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__12 )
      | ~ ( subactivity_occurrence @ X0 @ sk__12 )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl30]) ).

thf(zip_derived_cl4805,plain,
    ( ( min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__9 @ sk__11 ) @ tptp0 )
    | ~ ( arboreal @ sk__11 )
    | ( leaf_occ @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1563]) ).

thf(zip_derived_cl51_011,plain,
    arboreal @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_012,plain,
    ~ ( leaf_occ @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4807,plain,
    min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__9 @ sk__11 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4805,zip_derived_cl51,zip_derived_cl48]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( min_precedes @ X1 @ X3 @ X2 )
      | ~ ( next_subocc @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl4822,plain,
    ! [X0: $i] :
      ( ~ ( next_subocc @ ( sk__8 @ sk__11 ) @ X0 @ tptp0 )
      | ~ ( min_precedes @ ( sk__9 @ sk__11 ) @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4807,zip_derived_cl13]) ).

thf(zip_derived_cl11450,plain,
    ( ( ( sk__7 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) @ ( sk__8 @ sk__11 ) )
      = tptp0 )
    | ~ ( min_precedes @ ( sk__9 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9607,zip_derived_cl4822]) ).

thf(zip_derived_cl49_013,plain,
    subactivity_occurrence @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_014,plain,
    occurrence_of @ sk__12 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__9 @ X0 ) @ ( sk__10 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl2844,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__12 )
      | ~ ( subactivity_occurrence @ X0 @ sk__12 )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ ( sk__9 @ X0 ) @ ( sk__10 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl35]) ).

thf(zip_derived_cl4813,plain,
    ( ( min_precedes @ ( sk__9 @ sk__11 ) @ ( sk__10 @ sk__11 ) @ tptp0 )
    | ~ ( arboreal @ sk__11 )
    | ( leaf_occ @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl2844]) ).

thf(zip_derived_cl51_015,plain,
    arboreal @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_016,plain,
    ~ ( leaf_occ @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4815,plain,
    min_precedes @ ( sk__9 @ sk__11 ) @ ( sk__10 @ sk__11 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4813,zip_derived_cl51,zip_derived_cl48]) ).

thf(zip_derived_cl18_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__4 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl3595_018,plain,
    min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl3583,zip_derived_cl12]) ).

thf(zip_derived_cl16_019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__4 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl18_020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__4 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl33_021,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__8 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl2103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( occurrence_of @ ( sk__8 @ X2 ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl33]) ).

thf(zip_derived_cl2164,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( occurrence_of @ ( sk__8 @ X1 ) @ tptp3 )
      | ~ ( arboreal @ X1 )
      | ( leaf_occ @ X1 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2103]) ).

thf(zip_derived_cl2171,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X1 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X1 )
      | ( occurrence_of @ ( sk__8 @ X1 ) @ tptp3 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2164]) ).

thf(zip_derived_cl3611,plain,
    ( ( occurrence_of @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp3 )
    | ~ ( arboreal @ ( sk__8 @ sk__11 ) )
    | ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3595,zip_derived_cl2171]) ).

thf(zip_derived_cl2218_022,plain,
    arboreal @ ( sk__8 @ sk__11 ),
    inference(demod,[status(thm)],[zip_derived_cl2211,zip_derived_cl41]) ).

thf(zip_derived_cl3623,plain,
    ( ( occurrence_of @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp3 )
    | ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3611,zip_derived_cl2218]) ).

thf(zip_derived_cl70_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ( ( sk__7 @ X1 @ X0 )
        = X2 )
      | ~ ( occurrence_of @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl0]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__7 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leaf @ X1 @ X0 )
      | ~ ( occurrence_of @ X2 @ X0 )
      | ~ ( leaf_occ @ X1 @ X2 )
      | ~ ( leaf_occ @ X1 @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl28]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leaf_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X0 )
      | ( leaf @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl4738,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp3 )
      | ( leaf @ ( sk__8 @ sk__11 ) @ X0 )
      | ~ ( occurrence_of @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3623,zip_derived_cl117]) ).

thf(zip_derived_cl11918,plain,
    ( ~ ( min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0 )
    | ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 )
    | ( occurrence_of @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl4738]) ).

thf(zip_derived_cl3595_024,plain,
    min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl3583,zip_derived_cl12]) ).

thf(zip_derived_cl18_025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__4 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl3595_026,plain,
    min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl3583,zip_derived_cl12]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__4 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl18_027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__4 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl30_028,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl1550,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( min_precedes @ ( sk__8 @ X2 ) @ ( sk__9 @ X2 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl30]) ).

thf(zip_derived_cl3301,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( min_precedes @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ( leaf_occ @ X0 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1550]) ).

thf(zip_derived_cl3310,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X0 @ ( sk__4 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) @ tptp0 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3301]) ).

thf(zip_derived_cl3618,plain,
    ( ( min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__9 @ sk__11 ) @ tptp0 )
    | ~ ( arboreal @ sk__11 )
    | ( leaf_occ @ sk__11 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3595,zip_derived_cl3310]) ).

thf(zip_derived_cl51_029,plain,
    arboreal @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3630,plain,
    ( ( min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__9 @ sk__11 ) @ tptp0 )
    | ( leaf_occ @ sk__11 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl51]) ).

thf(sos_21,axiom,
    ! [X56: $i,X57: $i] :
      ( ( leaf @ X56 @ X57 )
    <=> ( ( ( root @ X56 @ X57 )
          | ? [X58: $i] : ( min_precedes @ X58 @ X56 @ X57 ) )
        & ~ ? [X59: $i] : ( min_precedes @ X56 @ X59 @ X57 ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( leaf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_21]) ).

thf(zip_derived_cl4018,plain,
    ( ( leaf_occ @ sk__11 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) )
    | ~ ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3630,zip_derived_cl9]) ).

thf(zip_derived_cl117_030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leaf_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X0 )
      | ( leaf @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl4060,plain,
    ! [X0: $i] :
      ( ~ ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 )
      | ( leaf @ sk__11 @ X0 )
      | ~ ( occurrence_of @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4018,zip_derived_cl117]) ).

thf(zip_derived_cl4126,plain,
    ( ~ ( min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0 )
    | ( leaf @ sk__11 @ tptp0 )
    | ~ ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl4060]) ).

thf(zip_derived_cl3595_031,plain,
    min_precedes @ sk__11 @ ( sk__8 @ sk__11 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl3583,zip_derived_cl12]) ).

thf(zip_derived_cl50_032,plain,
    occurrence_of @ sk__12 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leaf_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( leaf @ X0 @ X2 )
      | ~ ( subactivity_occurrence @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ~ ( subactivity_occurrence @ X0 @ sk__12 )
      | ~ ( leaf @ X0 @ tptp0 )
      | ( leaf_occ @ X0 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl29]) ).

thf(zip_derived_cl48_033,plain,
    ~ ( leaf_occ @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( leaf @ sk__11 @ tptp0 )
    | ~ ( subactivity_occurrence @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl48]) ).

thf(zip_derived_cl49_034,plain,
    subactivity_occurrence @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ~ ( leaf @ sk__11 @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl49]) ).

thf(zip_derived_cl4129,plain,
    ~ ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl4126,zip_derived_cl3595,zip_derived_cl69]) ).

thf(zip_derived_cl11922,plain,
    occurrence_of @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl11918,zip_derived_cl3595,zip_derived_cl4129]) ).

thf(zip_derived_cl0_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_02]) ).

thf(zip_derived_cl11923,plain,
    ! [X0: $i] :
      ( ( tptp3 = X0 )
      | ~ ( occurrence_of @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11922,zip_derived_cl0]) ).

thf(zip_derived_cl49_036,plain,
    subactivity_occurrence @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9607_037,plain,
    ( ( ( sk__7 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) @ ( sk__8 @ sk__11 ) )
      = tptp0 )
    | ( next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9603,zip_derived_cl3595]) ).

thf(zip_derived_cl12_038,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl11449,plain,
    ( ( ( sk__7 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) @ ( sk__8 @ sk__11 ) )
      = tptp0 )
    | ( min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9607,zip_derived_cl12]) ).

thf(zip_derived_cl28_039,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__7 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl17258,plain,
    ( ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 )
    | ( min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 )
    | ~ ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11449,zip_derived_cl28]) ).

thf(zip_derived_cl4129_040,plain,
    ~ ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl4126,zip_derived_cl3595,zip_derived_cl69]) ).

thf(zip_derived_cl17347,plain,
    ( ( min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 )
    | ~ ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl17258,zip_derived_cl4129]) ).

thf(zip_derived_cl3627_041,plain,
    ( ( next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3615,zip_derived_cl2218]) ).

thf(zip_derived_cl17369,plain,
    ( ( min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 )
    | ( next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17347,zip_derived_cl3627]) ).

thf(zip_derived_cl12_042,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl17380,plain,
    min_precedes @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0,
    inference(clc,[status(thm)],[zip_derived_cl17369,zip_derived_cl12]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ ( sk__8 @ X0 ) @ X1 @ tptp0 )
      | ( X1
        = ( sk__9 @ X0 ) )
      | ( X1
        = ( sk__10 @ X0 ) )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X2 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X2 )
      | ( leaf_occ @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl17410,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ sk__11 @ X0 )
      | ~ ( subactivity_occurrence @ sk__11 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( arboreal @ sk__11 )
      | ( ( sk__8 @ ( sk__8 @ sk__11 ) )
        = ( sk__10 @ sk__11 ) )
      | ( ( sk__8 @ ( sk__8 @ sk__11 ) )
        = ( sk__9 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17380,zip_derived_cl36]) ).

thf(zip_derived_cl51_043,plain,
    arboreal @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17427,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ sk__11 @ X0 )
      | ~ ( subactivity_occurrence @ sk__11 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ( ( sk__8 @ ( sk__8 @ sk__11 ) )
        = ( sk__10 @ sk__11 ) )
      | ( ( sk__8 @ ( sk__8 @ sk__11 ) )
        = ( sk__9 @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl17410,zip_derived_cl51]) ).

thf(zip_derived_cl18494,plain,
    ( ( ( sk__8 @ ( sk__8 @ sk__11 ) )
      = ( sk__9 @ sk__11 ) )
    | ( ( sk__8 @ ( sk__8 @ sk__11 ) )
      = ( sk__10 @ sk__11 ) )
    | ~ ( occurrence_of @ sk__12 @ tptp0 )
    | ( leaf_occ @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl17427]) ).

thf(zip_derived_cl50_044,plain,
    occurrence_of @ sk__12 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_045,plain,
    ~ ( leaf_occ @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18495,plain,
    ( ( ( sk__8 @ ( sk__8 @ sk__11 ) )
      = ( sk__9 @ sk__11 ) )
    | ( ( sk__8 @ ( sk__8 @ sk__11 ) )
      = ( sk__10 @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18494,zip_derived_cl50,zip_derived_cl48]) ).

thf(zip_derived_cl49_046,plain,
    subactivity_occurrence @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_047,plain,
    occurrence_of @ sk__12 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__9 @ X0 ) @ tptp4 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl1726,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__12 )
      | ~ ( subactivity_occurrence @ X0 @ sk__12 )
      | ~ ( arboreal @ X0 )
      | ( occurrence_of @ ( sk__9 @ X0 ) @ tptp4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl31]) ).

thf(zip_derived_cl1945,plain,
    ( ( occurrence_of @ ( sk__9 @ sk__11 ) @ tptp4 )
    | ~ ( arboreal @ sk__11 )
    | ( leaf_occ @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1726]) ).

thf(zip_derived_cl51_048,plain,
    arboreal @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_049,plain,
    ~ ( leaf_occ @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1946,plain,
    occurrence_of @ ( sk__9 @ sk__11 ) @ tptp4,
    inference(demod,[status(thm)],[zip_derived_cl1945,zip_derived_cl51,zip_derived_cl48]) ).

thf(zip_derived_cl18496,plain,
    ( ( occurrence_of @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp4 )
    | ( ( sk__8 @ ( sk__8 @ sk__11 ) )
      = ( sk__10 @ sk__11 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18495,zip_derived_cl1946]) ).

thf(zip_derived_cl18843,plain,
    ( ( tptp3 = tptp4 )
    | ( ( sk__8 @ ( sk__8 @ sk__11 ) )
      = ( sk__10 @ sk__11 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11923,zip_derived_cl18496]) ).

thf(sos_42,axiom,
    tptp4 != tptp3 ).

thf(zip_derived_cl42,plain,
    tptp4 != tptp3,
    inference(cnf,[status(esa)],[sos_42]) ).

thf(zip_derived_cl18847,plain,
    ( ( sk__8 @ ( sk__8 @ sk__11 ) )
    = ( sk__10 @ sk__11 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl18843,zip_derived_cl42]) ).

thf(zip_derived_cl18853,plain,
    min_precedes @ ( sk__9 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4815,zip_derived_cl18847]) ).

thf(zip_derived_cl19252,plain,
    ( ( sk__7 @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) @ ( sk__8 @ sk__11 ) )
    = tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl11450,zip_derived_cl18853]) ).

thf(zip_derived_cl28_050,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__7 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl19417,plain,
    ( ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 )
    | ~ ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19252,zip_derived_cl28]) ).

thf(zip_derived_cl4129_051,plain,
    ~ ( leaf @ ( sk__8 @ sk__11 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl4126,zip_derived_cl3595,zip_derived_cl69]) ).

thf(zip_derived_cl19513,plain,
    ~ ( leaf_occ @ ( sk__8 @ sk__11 ) @ ( sk__4 @ ( sk__8 @ sk__11 ) @ sk__11 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl19417,zip_derived_cl4129]) ).

thf(zip_derived_cl19566,plain,
    next_subocc @ ( sk__8 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl3627,zip_derived_cl19513]) ).

thf(zip_derived_cl4822_052,plain,
    ! [X0: $i] :
      ( ~ ( next_subocc @ ( sk__8 @ sk__11 ) @ X0 @ tptp0 )
      | ~ ( min_precedes @ ( sk__9 @ sk__11 ) @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4807,zip_derived_cl13]) ).

thf(zip_derived_cl19810,plain,
    ~ ( min_precedes @ ( sk__9 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl19566,zip_derived_cl4822]) ).

thf(zip_derived_cl18853_053,plain,
    min_precedes @ ( sk__9 @ sk__11 ) @ ( sk__8 @ ( sk__8 @ sk__11 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4815,zip_derived_cl18847]) ).

thf(zip_derived_cl19812,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl19810,zip_derived_cl18853]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : PRO017+1 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gbyGsBbnSo true
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 10:49:23 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 32.30/5.28  % Solved by fo/fo4.sh.
% 32.30/5.28  % done 1689 iterations in 4.493s
% 32.30/5.28  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 32.30/5.28  % SZS output start Refutation
% See solution above
% 32.30/5.29  
% 32.30/5.29  
% 32.30/5.29  % Terminating...
% 32.86/5.37  % Runner terminated.
% 32.86/5.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------