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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO006+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rpgh8m1cAE true

% Computer : n009.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 04:49:19 PM UTC 2025

% Result   : Theorem 271.79s 39.44s
% Output   : Refutation 271.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  263 ( 119 unt;   0 typ;   0 def)
%            Number of atoms       :  538 (  71 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 2219 ( 194   ~; 221   |;  35   &;1750   @)
%                                         (   5 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  27 usr;   6 con; 0-3 aty)
%            Number of variables   :  234 (   0   ^; 219   !;  15   ?; 234   :)

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

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

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

thf(activity_type,type,
    activity: $i > $o ).

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

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

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

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

thf(sk__3_type,type,
    sk__3: $i > $i > $i ).

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

thf(sk__2_type,type,
    sk__2: $i > $i > $i > $i ).

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

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

thf(activity_occurrence_type,type,
    activity_occurrence: $i > $o ).

thf(sk__14_type,type,
    sk__14: $i > $i ).

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

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

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

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

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

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

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

thf(root_occ_type,type,
    root_occ: $i > $i > $o ).

thf(sk__6_type,type,
    sk__6: $i > $i > $i ).

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

thf(sk__15_type,type,
    sk__15: $i ).

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

thf(sos_12,axiom,
    ! [X41: $i] :
      ( ( activity_occurrence @ X41 )
     => ? [X42: $i] :
          ( ( occurrence_of @ X41 @ X42 )
          & ( activity @ X42 ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(sos,axiom,
    ! [X0: $i,X1: $i] :
      ( ( ( occurrence_of @ X1 @ X0 )
        & ~ ( atomic @ X0 ) )
     => ? [X2: $i] :
          ( ( subactivity_occurrence @ X2 @ X1 )
          & ( root @ X2 @ X0 ) ) ) ).

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

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).

thf(goals,conjecture,
    ~ ? [X107: $i] : ( occurrence_of @ X107 @ tptp0 ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X107: $i] : ( occurrence_of @ X107 @ tptp0 ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl79,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_45,axiom,
    ! [X104: $i,X105: $i] :
      ( ( ( occurrence_of @ X105 @ tptp0 )
        & ( subactivity_occurrence @ X104 @ X105 )
        & ( arboreal @ X104 )
        & ~ ( leaf_occ @ X104 @ X105 ) )
     => ? [X106: $i] :
          ( ( next_subocc @ X104 @ X106 @ tptp0 )
          & ( occurrence_of @ X106 @ tptp1 ) ) ) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__14 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_45]) ).

thf(zip_derived_cl2124,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__15 )
      | ~ ( subactivity_occurrence @ X0 @ sk__15 )
      | ~ ( arboreal @ X0 )
      | ( next_subocc @ X0 @ ( sk__14 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl77]) ).

thf(zip_derived_cl4160,plain,
    ( ( atomic @ ( sk__4 @ sk__15 ) )
    | ~ ( activity_occurrence @ sk__15 )
    | ( next_subocc @ ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) ) @ ( sk__14 @ ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) ) ) @ tptp0 )
    | ~ ( arboreal @ ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) ) )
    | ( leaf_occ @ ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) ) @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl2124]) ).

thf(zip_derived_cl19_001,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(zip_derived_cl79_002,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_08,axiom,
    ! [X28: $i,X29: $i,X30: $i] :
      ( ( ( occurrence_of @ X28 @ X29 )
        & ( occurrence_of @ X28 @ X30 ) )
     => ( X29 = X30 ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_08]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( ( tptp0 = X0 )
      | ~ ( occurrence_of @ sk__15 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl14]) ).

thf(zip_derived_cl98,plain,
    ( ~ ( activity_occurrence @ sk__15 )
    | ( tptp0
      = ( sk__4 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl96]) ).

thf(zip_derived_cl79_003,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_03,axiom,
    ! [X12: $i,X13: $i] :
      ( ( occurrence_of @ X13 @ X12 )
     => ( ( activity @ X12 )
        & ( activity_occurrence @ X13 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_03]) ).

thf(zip_derived_cl83,plain,
    activity_occurrence @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl5]) ).

thf(zip_derived_cl100,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(sos_34,axiom,
    ~ ( atomic @ tptp0 ) ).

thf(zip_derived_cl66,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl83_004,plain,
    activity_occurrence @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl5]) ).

thf(zip_derived_cl100_005,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl89_006,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).

thf(zip_derived_cl19_007,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( atomic @ X0 )
      | ~ ( occurrence_of @ X1 @ X0 )
      | ( root @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[sos]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( root @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__4 @ X0 ) )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).

thf(zip_derived_cl19_008,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(sos_19,axiom,
    ! [X58: $i,X59: $i] :
      ( ( root_occ @ X58 @ X59 )
    <=> ? [X60: $i] :
          ( ( root @ X58 @ X60 )
          & ( subactivity_occurrence @ X58 @ X59 )
          & ( occurrence_of @ X59 @ X60 ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( root_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( root @ X0 @ X2 )
      | ~ ( subactivity_occurrence @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl1098,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ X1 @ X0 )
      | ~ ( root @ X1 @ ( sk__4 @ X0 ) )
      | ( root_occ @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl40]) ).

thf(sos_11,axiom,
    ! [X39: $i,X40: $i] :
      ( ( subactivity_occurrence @ X39 @ X40 )
     => ( ( activity_occurrence @ X39 )
        & ( activity_occurrence @ X40 ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(zip_derived_cl1108,plain,
    ! [X0: $i,X1: $i] :
      ( ( root_occ @ X1 @ X0 )
      | ~ ( root @ X1 @ ( sk__4 @ X0 ) )
      | ~ ( subactivity_occurrence @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1098,zip_derived_cl18]) ).

thf(zip_derived_cl1109,plain,
    ! [X0: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1108]) ).

thf(zip_derived_cl18_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(zip_derived_cl1116,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ~ ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1109,zip_derived_cl18]) ).

thf(zip_derived_cl1117,plain,
    ! [X0: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl1116]) ).

thf(zip_derived_cl1124,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1117]) ).

thf(zip_derived_cl79_010,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79_011,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_32,axiom,
    ! [X101: $i] :
      ( ( occurrence_of @ X101 @ tptp0 )
     => ? [X102: $i,X103: $i] :
          ( ( next_subocc @ X102 @ X103 @ tptp0 )
          & ( leaf_occ @ X103 @ X101 )
          & ( occurrence_of @ X103 @ tptp3 )
          & ( root_occ @ X102 @ X101 )
          & ( occurrence_of @ X102 @ tptp4 ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__12 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl154,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl60]) ).

thf(sos_29,axiom,
    ! [X90: $i,X91: $i,X92: $i,X93: $i] :
      ( ( ( occurrence_of @ X92 @ X93 )
        & ( root_occ @ X90 @ X92 )
        & ( root_occ @ X91 @ X92 ) )
     => ( X90 = X91 ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( root_occ @ X0 @ X2 )
      | ~ ( root_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_29]) ).

thf(zip_derived_cl649,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ sk__15 @ X0 )
      | ~ ( root_occ @ X1 @ sk__15 )
      | ( X1
        = ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl57]) ).

thf(zip_derived_cl657,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root_occ @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl649]) ).

thf(zip_derived_cl1135,plain,
    ( ( atomic @ ( sk__4 @ sk__15 ) )
    | ~ ( activity_occurrence @ sk__15 )
    | ( ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) )
      = ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1124,zip_derived_cl657]) ).

thf(zip_derived_cl100_012,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl66_013,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl83_014,plain,
    activity_occurrence @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl5]) ).

thf(zip_derived_cl100_015,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl1148,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl100,zip_derived_cl66,zip_derived_cl83,zip_derived_cl100]) ).

thf(zip_derived_cl100_016,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl1148_017,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl100,zip_derived_cl66,zip_derived_cl83,zip_derived_cl100]) ).

thf(zip_derived_cl100_018,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl1148_019,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl100,zip_derived_cl66,zip_derived_cl83,zip_derived_cl100]) ).

thf(zip_derived_cl79_020,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__12 @ X0 ) @ tptp4 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl118,plain,
    occurrence_of @ ( sk__12 @ sk__15 ) @ tptp4,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl61]) ).

thf(sos_16,axiom,
    ! [X51: $i,X52: $i] :
      ( ( occurrence_of @ X51 @ X52 )
     => ( ( arboreal @ X51 )
      <=> ( atomic @ X52 ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_16]) ).

thf(zip_derived_cl131,plain,
    ( ( arboreal @ ( sk__12 @ sk__15 ) )
    | ~ ( atomic @ tptp4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl30]) ).

thf(sos_35,axiom,
    atomic @ tptp4 ).

thf(zip_derived_cl67,plain,
    atomic @ tptp4,
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl137,plain,
    arboreal @ ( sk__12 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl67]) ).

thf(zip_derived_cl100_021,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl1148_022,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl100,zip_derived_cl66,zip_derived_cl83,zip_derived_cl100]) ).

thf(zip_derived_cl4165,plain,
    ( ( next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4160,zip_derived_cl100,zip_derived_cl66,zip_derived_cl83,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl137,zip_derived_cl100,zip_derived_cl1148]) ).

thf(sos_26,axiom,
    ! [X78: $i,X79: $i,X80: $i] :
      ( ( next_subocc @ X78 @ X79 @ X80 )
    <=> ( ( min_precedes @ X78 @ X79 @ X80 )
        & ~ ? [X81: $i] :
              ( ( min_precedes @ X81 @ X79 @ X80 )
              & ( min_precedes @ X78 @ X81 @ X80 ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_26]) ).

thf(zip_derived_cl4358,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4165,zip_derived_cl51]) ).

thf(sos_06,axiom,
    ! [X21: $i,X22: $i,X23: $i] :
      ( ( min_precedes @ X22 @ X23 @ X21 )
     => ? [X24: $i] :
          ( ( subactivity_occurrence @ X23 @ X24 )
          & ( subactivity_occurrence @ X22 @ X24 )
          & ( occurrence_of @ X24 @ X21 ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__2 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl4449,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4358,zip_derived_cl11]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__13 @ X0 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl9860,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( occurrence_of @ ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4449,zip_derived_cl62]) ).

thf(zip_derived_cl19_023,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(zip_derived_cl14_024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_08]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( ( sk__4 @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl14]) ).

thf(zip_derived_cl5_025,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_03]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk__4 @ X0 )
        = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl5]) ).

thf(zip_derived_cl13001,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( ( sk__4 @ ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) )
      = tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9860,zip_derived_cl119]) ).

thf(zip_derived_cl100_026,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl1124_027,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1117]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__9 @ X0 @ X1 ) )
      | ~ ( root_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl1133,plain,
    ! [X0: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ( occurrence_of @ X0 @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1124,zip_derived_cl38]) ).

thf(zip_derived_cl1124_028,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1117]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( root @ X0 @ ( sk__9 @ X1 @ X0 ) )
      | ~ ( root_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl1132,plain,
    ! [X0: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ( root @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1124,zip_derived_cl39]) ).

thf(sos_15,axiom,
    ! [X47: $i,X48: $i] :
      ( ( leaf @ X47 @ X48 )
    <=> ( ( ( root @ X47 @ X48 )
          | ? [X49: $i] : ( min_precedes @ X49 @ X47 @ X48 ) )
        & ~ ? [X50: $i] : ( min_precedes @ X47 @ X50 @ X48 ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ X1 )
      | ( min_precedes @ X0 @ ( sk__6 @ X1 @ X0 ) @ X1 )
      | ~ ( root @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl1474,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ( min_precedes @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__6 @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) )
      | ( leaf @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1132,zip_derived_cl29]) ).

thf(sos_09,axiom,
    ! [X31: $i,X32: $i,X33: $i] :
      ( ( ( occurrence_of @ X31 @ X33 )
        & ( leaf_occ @ X32 @ X31 ) )
     => ~ ? [X34: $i] : ( min_precedes @ X32 @ X34 @ X33 ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( min_precedes @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_09]) ).

thf(zip_derived_cl39475,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X1 @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) )
      | ~ ( leaf_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1474,zip_derived_cl15]) ).

thf(zip_derived_cl39653,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( leaf_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ( leaf @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1133,zip_derived_cl39475]) ).

thf(zip_derived_cl39681,plain,
    ! [X0: $i] :
      ( ( leaf @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__9 @ X0 @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) )
      | ~ ( leaf_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl39653]) ).

thf(zip_derived_cl39723,plain,
    ( ~ ( leaf_occ @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15 )
    | ~ ( activity_occurrence @ sk__15 )
    | ( atomic @ ( sk__4 @ sk__15 ) )
    | ( leaf @ ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) ) @ ( sk__9 @ sk__15 @ ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl39681]) ).

thf(zip_derived_cl1148_029,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl100,zip_derived_cl66,zip_derived_cl83,zip_derived_cl100]) ).

thf(zip_derived_cl83_030,plain,
    activity_occurrence @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl5]) ).

thf(zip_derived_cl100_031,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl66_032,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl100_033,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl1148_034,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl100,zip_derived_cl66,zip_derived_cl83,zip_derived_cl100]) ).

thf(zip_derived_cl100_035,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl83]) ).

thf(zip_derived_cl1148_036,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl100,zip_derived_cl66,zip_derived_cl83,zip_derived_cl100]) ).

thf(zip_derived_cl154_037,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl60]) ).

thf(zip_derived_cl38_038,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__9 @ X0 @ X1 ) )
      | ~ ( root_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl386,plain,
    occurrence_of @ sk__15 @ ( sk__9 @ sk__15 @ ( sk__12 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl38]) ).

thf(zip_derived_cl96_039,plain,
    ! [X0: $i] :
      ( ( tptp0 = X0 )
      | ~ ( occurrence_of @ sk__15 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl14]) ).

thf(zip_derived_cl490,plain,
    ( tptp0
    = ( sk__9 @ sk__15 @ ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl96]) ).

thf(zip_derived_cl79_040,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( next_subocc @ ( sk__12 @ X0 ) @ ( sk__13 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl267,plain,
    next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl64]) ).

thf(zip_derived_cl51_041,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_26]) ).

thf(zip_derived_cl603,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl51]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( leaf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl606,plain,
    ~ ( leaf @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl27]) ).

thf(zip_derived_cl39738,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl39723,zip_derived_cl1148,zip_derived_cl83,zip_derived_cl100,zip_derived_cl66,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl490,zip_derived_cl606]) ).

thf(zip_derived_cl39826,plain,
    ( ( sk__4 @ ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) )
    = tptp3 ),
    inference(demod,[status(thm)],[zip_derived_cl13001,zip_derived_cl39738]) ).

thf(zip_derived_cl4449_042,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4358,zip_derived_cl11]) ).

thf(zip_derived_cl39738_043,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl39723,zip_derived_cl1148,zip_derived_cl83,zip_derived_cl100,zip_derived_cl66,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl490,zip_derived_cl606]) ).

thf(zip_derived_cl39792,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4449,zip_derived_cl39738]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__13 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl42707,plain,
    leaf_occ @ ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl39792,zip_derived_cl63]) ).

thf(zip_derived_cl4358_044,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4165,zip_derived_cl51]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__2 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl4448,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( subactivity_occurrence @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4358,zip_derived_cl9]) ).

thf(zip_derived_cl39738_045,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl39723,zip_derived_cl1148,zip_derived_cl83,zip_derived_cl100,zip_derived_cl66,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl490,zip_derived_cl606]) ).

thf(zip_derived_cl39791,plain,
    subactivity_occurrence @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl4448,zip_derived_cl39738]) ).

thf(zip_derived_cl4358_046,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4165,zip_derived_cl51]) ).

thf(zip_derived_cl39738_047,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl39723,zip_derived_cl1148,zip_derived_cl83,zip_derived_cl100,zip_derived_cl66,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl490,zip_derived_cl606]) ).

thf(zip_derived_cl39785,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4358,zip_derived_cl39738]) ).

thf(sos_01,axiom,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( ( occurrence_of @ X4 @ X3 )
        & ( root_occ @ X6 @ X4 )
        & ( leaf_occ @ X7 @ X4 )
        & ( subactivity_occurrence @ X5 @ X4 )
        & ( min_precedes @ X6 @ X5 @ X3 )
        & ( X5 != X7 ) )
     => ( min_precedes @ X5 @ X7 @ X3 ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( subactivity_occurrence @ X1 @ X3 )
      | ~ ( root_occ @ X0 @ X3 )
      | ~ ( occurrence_of @ X3 @ X2 )
      | ~ ( leaf_occ @ X4 @ X3 )
      | ( X1 = X4 )
      | ( min_precedes @ X1 @ X4 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_01]) ).

thf(zip_derived_cl39866,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X0 @ tptp0 )
      | ( ( sk__14 @ ( sk__12 @ sk__15 ) )
        = X0 )
      | ~ ( leaf_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( root_occ @ ( sk__12 @ sk__15 ) @ X1 )
      | ~ ( subactivity_occurrence @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39785,zip_derived_cl2]) ).

thf(zip_derived_cl157195,plain,
    ! [X0: $i] :
      ( ~ ( root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ~ ( occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0 )
      | ~ ( leaf_occ @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ( ( sk__14 @ ( sk__12 @ sk__15 ) )
        = X0 )
      | ( min_precedes @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39791,zip_derived_cl39866]) ).

thf(zip_derived_cl4358_048,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4165,zip_derived_cl51]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl4439,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4358,zip_derived_cl10]) ).

thf(zip_derived_cl39738_049,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl39723,zip_derived_cl1148,zip_derived_cl83,zip_derived_cl100,zip_derived_cl66,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl490,zip_derived_cl606]) ).

thf(zip_derived_cl39787,plain,
    subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl4439,zip_derived_cl39738]) ).

thf(zip_derived_cl4449_050,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4358,zip_derived_cl11]) ).

thf(zip_derived_cl119_051,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk__4 @ X0 )
        = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl5]) ).

thf(zip_derived_cl9853,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( ( sk__4 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      = tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4449,zip_derived_cl119]) ).

thf(zip_derived_cl39738_052,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl39723,zip_derived_cl1148,zip_derived_cl83,zip_derived_cl100,zip_derived_cl66,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl490,zip_derived_cl606]) ).

thf(zip_derived_cl39803,plain,
    ( ( sk__4 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
    = tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl9853,zip_derived_cl39738]) ).

thf(zip_derived_cl1108_053,plain,
    ! [X0: $i,X1: $i] :
      ( ( root_occ @ X1 @ X0 )
      | ~ ( root @ X1 @ ( sk__4 @ X0 ) )
      | ~ ( subactivity_occurrence @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1098,zip_derived_cl18]) ).

thf(zip_derived_cl40910,plain,
    ! [X0: $i] :
      ( ~ ( root @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ( root_occ @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39803,zip_derived_cl1108]) ).

thf(zip_derived_cl73522,plain,
    ( ( root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
    | ~ ( root @ ( sk__12 @ sk__15 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39787,zip_derived_cl40910]) ).

thf(zip_derived_cl154_054,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl60]) ).

thf(zip_derived_cl39_055,plain,
    ! [X0: $i,X1: $i] :
      ( ( root @ X0 @ ( sk__9 @ X1 @ X0 ) )
      | ~ ( root_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl598,plain,
    root @ ( sk__12 @ sk__15 ) @ ( sk__9 @ sk__15 @ ( sk__12 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl39]) ).

thf(zip_derived_cl490_056,plain,
    ( tptp0
    = ( sk__9 @ sk__15 @ ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl96]) ).

thf(zip_derived_cl599,plain,
    root @ ( sk__12 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl598,zip_derived_cl490]) ).

thf(zip_derived_cl73528,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl73522,zip_derived_cl599]) ).

thf(zip_derived_cl39792_057,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4449,zip_derived_cl39738]) ).

thf(zip_derived_cl157197,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ( ( sk__14 @ ( sk__12 @ sk__15 ) )
        = X0 )
      | ( min_precedes @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl157195,zip_derived_cl73528,zip_derived_cl39792]) ).

thf(zip_derived_cl157763,plain,
    ( ( min_precedes @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ tptp0 )
    | ( ( sk__14 @ ( sk__12 @ sk__15 ) )
      = ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42707,zip_derived_cl157197]) ).

thf(zip_derived_cl4358_058,plain,
    ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
    | ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4165,zip_derived_cl51]) ).

thf(zip_derived_cl52,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_26]) ).

thf(zip_derived_cl4442,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 )
      | ~ ( next_subocc @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 )
      | ~ ( min_precedes @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4358,zip_derived_cl52]) ).

thf(zip_derived_cl39738_059,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl39723,zip_derived_cl1148,zip_derived_cl83,zip_derived_cl100,zip_derived_cl66,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl100,zip_derived_cl1148,zip_derived_cl490,zip_derived_cl606]) ).

thf(zip_derived_cl39788,plain,
    ! [X0: $i] :
      ( ~ ( next_subocc @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 )
      | ~ ( min_precedes @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4442,zip_derived_cl39738]) ).

thf(zip_derived_cl158630,plain,
    ( ( ( sk__14 @ ( sk__12 @ sk__15 ) )
      = ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) )
    | ~ ( next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl157763,zip_derived_cl39788]) ).

thf(zip_derived_cl39792_060,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4449,zip_derived_cl39738]) ).

thf(zip_derived_cl64_061,plain,
    ! [X0: $i] :
      ( ( next_subocc @ ( sk__12 @ X0 ) @ ( sk__13 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl42708,plain,
    next_subocc @ ( sk__12 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl39792,zip_derived_cl64]) ).

thf(zip_derived_cl39792_062,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4449,zip_derived_cl39738]) ).

thf(zip_derived_cl60_063,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__12 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl42704,plain,
    root_occ @ ( sk__12 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl39792,zip_derived_cl60]) ).

thf(zip_derived_cl39792_064,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4449,zip_derived_cl39738]) ).

thf(zip_derived_cl73528_065,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl73522,zip_derived_cl599]) ).

thf(zip_derived_cl57_066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( root_occ @ X0 @ X2 )
      | ~ ( root_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_29]) ).

thf(zip_derived_cl74121,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ X0 )
      | ~ ( root_occ @ X1 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ( X1
        = ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73528,zip_derived_cl57]) ).

thf(zip_derived_cl74131,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root_occ @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39792,zip_derived_cl74121]) ).

thf(zip_derived_cl74137,plain,
    ( ( sk__12 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
    = ( sk__12 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42704,zip_derived_cl74131]) ).

thf(zip_derived_cl92479,plain,
    next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl42708,zip_derived_cl74137]) ).

thf(zip_derived_cl158631,plain,
    ( ( sk__14 @ ( sk__12 @ sk__15 ) )
    = ( sk__13 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl158630,zip_derived_cl92479]) ).

thf(zip_derived_cl89_067,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).

thf(zip_derived_cl79_068,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63_069,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__13 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl252,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl63]) ).

thf(sos_18,axiom,
    ! [X55: $i,X56: $i] :
      ( ( leaf_occ @ X55 @ X56 )
    <=> ? [X57: $i] :
          ( ( leaf @ X55 @ X57 )
          & ( subactivity_occurrence @ X55 @ X56 )
          & ( occurrence_of @ X56 @ X57 ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl526,plain,
    leaf @ ( sk__13 @ sk__15 ) @ ( sk__8 @ sk__15 @ ( sk__13 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl35]) ).

thf(zip_derived_cl252_070,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl63]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( leaf_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl385,plain,
    occurrence_of @ sk__15 @ ( sk__8 @ sk__15 @ ( sk__13 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl34]) ).

thf(zip_derived_cl96_071,plain,
    ! [X0: $i] :
      ( ( tptp0 = X0 )
      | ~ ( occurrence_of @ sk__15 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl14]) ).

thf(zip_derived_cl405,plain,
    ( tptp0
    = ( sk__8 @ sk__15 @ ( sk__13 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl96]) ).

thf(zip_derived_cl527,plain,
    leaf @ ( sk__13 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl405]) ).

thf(sos_07,axiom,
    ! [X25: $i,X26: $i] :
      ( ( ( leaf @ X25 @ X26 )
        & ~ ( atomic @ X26 ) )
     => ? [X27: $i] :
          ( ( leaf_occ @ X25 @ X27 )
          & ( occurrence_of @ X27 @ X26 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 @ X1 ) @ X0 )
      | ( atomic @ X0 )
      | ~ ( leaf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_07]) ).

thf(zip_derived_cl647,plain,
    ( ( atomic @ tptp0 )
    | ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl13]) ).

thf(zip_derived_cl66_072,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl648,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl66]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__14 @ X0 ) @ tptp1 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_45]) ).

thf(zip_derived_cl2333,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
      | ~ ( arboreal @ X0 )
      | ( occurrence_of @ ( sk__14 @ X0 ) @ tptp1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl78]) ).

thf(zip_derived_cl13809,plain,
    ( ( atomic @ ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) )
    | ~ ( activity_occurrence @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    | ( occurrence_of @ ( sk__14 @ ( sk_ @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ) ) @ tptp1 )
    | ~ ( arboreal @ ( sk_ @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ) )
    | ( leaf_occ @ ( sk_ @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl2333]) ).

thf(zip_derived_cl648_073,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl66]) ).

thf(zip_derived_cl119_074,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk__4 @ X0 )
        = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl5]) ).

thf(zip_derived_cl667,plain,
    ( ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl119]) ).

thf(zip_derived_cl66_075,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl527_076,plain,
    leaf @ ( sk__13 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl405]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X0 @ ( sk__3 @ X1 @ X0 ) )
      | ( atomic @ X1 )
      | ~ ( leaf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_07]) ).

thf(zip_derived_cl618,plain,
    ( ( atomic @ tptp0 )
    | ( leaf_occ @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl12]) ).

thf(zip_derived_cl66_077,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl619,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl618,zip_derived_cl66]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ( subactivity_occurrence @ X0 @ X1 )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl635,plain,
    subactivity_occurrence @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl33]) ).

thf(zip_derived_cl18_078,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(zip_derived_cl642,plain,
    activity_occurrence @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl18]) ).

thf(zip_derived_cl667_079,plain,
    ( ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl119]) ).

thf(zip_derived_cl1124_080,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1117]) ).

thf(zip_derived_cl648_081,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl66]) ).

thf(zip_derived_cl635_082,plain,
    subactivity_occurrence @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl33]) ).

thf(zip_derived_cl603_083,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl51]) ).

thf(sos_27,axiom,
    ! [X82: $i,X83: $i,X84: $i,X85: $i] :
      ( ( ( min_precedes @ X82 @ X83 @ X84 )
        & ( occurrence_of @ X85 @ X84 )
        & ( subactivity_occurrence @ X83 @ X85 ) )
     => ( subactivity_occurrence @ X82 @ X85 ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( occurrence_of @ X3 @ X2 )
      | ~ ( subactivity_occurrence @ X1 @ X3 )
      | ( subactivity_occurrence @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_27]) ).

thf(zip_derived_cl1640,plain,
    ! [X0: $i] :
      ( ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ X0 )
      | ~ ( subactivity_occurrence @ ( sk__13 @ sk__15 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl55]) ).

thf(zip_derived_cl1780,plain,
    ( ~ ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 )
    | ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl1640]) ).

thf(zip_derived_cl648_084,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl66]) ).

thf(zip_derived_cl1782,plain,
    subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1780,zip_derived_cl648]) ).

thf(zip_derived_cl648_085,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl66]) ).

thf(zip_derived_cl40_086,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( root_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( root @ X0 @ X2 )
      | ~ ( subactivity_occurrence @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl1102,plain,
    ! [X0: $i] :
      ( ~ ( subactivity_occurrence @ X0 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
      | ~ ( root @ X0 @ tptp0 )
      | ( root_occ @ X0 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl40]) ).

thf(zip_derived_cl5835,plain,
    ( ( root_occ @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    | ~ ( root @ ( sk__12 @ sk__15 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1782,zip_derived_cl1102]) ).

thf(zip_derived_cl599_087,plain,
    root @ ( sk__12 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl598,zip_derived_cl490]) ).

thf(zip_derived_cl5839,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5835,zip_derived_cl599]) ).

thf(zip_derived_cl57_088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( root_occ @ X0 @ X2 )
      | ~ ( root_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_29]) ).

thf(zip_derived_cl5844,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ X0 )
      | ~ ( root_occ @ X1 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
      | ( X1
        = ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5839,zip_derived_cl57]) ).

thf(zip_derived_cl5852,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root_occ @ X0 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl5844]) ).

thf(zip_derived_cl5870,plain,
    ( ( atomic @ ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) )
    | ~ ( activity_occurrence @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    | ( ( sk_ @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) )
      = ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1124,zip_derived_cl5852]) ).

thf(zip_derived_cl667_089,plain,
    ( ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl119]) ).

thf(zip_derived_cl66_090,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl642_091,plain,
    activity_occurrence @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl18]) ).

thf(zip_derived_cl667_092,plain,
    ( ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl119]) ).

thf(zip_derived_cl5874,plain,
    ( ( sk_ @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5870,zip_derived_cl667,zip_derived_cl66,zip_derived_cl642,zip_derived_cl667]) ).

thf(zip_derived_cl667_093,plain,
    ( ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl119]) ).

thf(zip_derived_cl5874_094,plain,
    ( ( sk_ @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5870,zip_derived_cl667,zip_derived_cl66,zip_derived_cl642,zip_derived_cl667]) ).

thf(zip_derived_cl137_095,plain,
    arboreal @ ( sk__12 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl67]) ).

thf(zip_derived_cl667_096,plain,
    ( ( sk__4 @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl119]) ).

thf(zip_derived_cl5874_097,plain,
    ( ( sk_ @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5870,zip_derived_cl667,zip_derived_cl66,zip_derived_cl642,zip_derived_cl667]) ).

thf(zip_derived_cl13815,plain,
    ( ( occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1 )
    | ( leaf_occ @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13809,zip_derived_cl667,zip_derived_cl66,zip_derived_cl642,zip_derived_cl667,zip_derived_cl5874,zip_derived_cl667,zip_derived_cl5874,zip_derived_cl137,zip_derived_cl667,zip_derived_cl5874]) ).

thf(zip_derived_cl603_098,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl51]) ).

thf(zip_derived_cl15_099,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( min_precedes @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_09]) ).

thf(zip_derived_cl608,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl15]) ).

thf(zip_derived_cl13834,plain,
    ( ( occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1 )
    | ~ ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13815,zip_derived_cl608]) ).

thf(zip_derived_cl648_100,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl66]) ).

thf(zip_derived_cl13841,plain,
    occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl13834,zip_derived_cl648]) ).

thf(zip_derived_cl119_101,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk__4 @ X0 )
        = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl5]) ).

thf(zip_derived_cl13851,plain,
    ( ( sk__4 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) )
    = tptp1 ),
    inference('sup-',[status(thm)],[zip_derived_cl13841,zip_derived_cl119]) ).

thf(zip_derived_cl158642,plain,
    tptp1 = tptp3,
    inference(demod,[status(thm)],[zip_derived_cl39826,zip_derived_cl158631,zip_derived_cl13851]) ).

thf(sos_42,axiom,
    tptp1 != tptp3 ).

thf(zip_derived_cl74,plain,
    tptp1 != tptp3,
    inference(cnf,[status(esa)],[sos_42]) ).

thf(zip_derived_cl158643,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl158642,zip_derived_cl74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PRO006+4 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rpgh8m1cAE true
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 10:52:08 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.56/0.67  % Total configuration time : 435
% 0.56/0.67  % Estimated wc time : 1092
% 0.56/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.86  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 271.79/39.44  % Solved by fo/fo5.sh.
% 271.79/39.44  % done 5850 iterations in 38.600s
% 271.79/39.44  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 271.79/39.44  % SZS output start Refutation
% See solution above
% 271.79/39.44  
% 271.79/39.44  
% 271.79/39.44  % Terminating...
% 271.79/39.48  % Runner terminated.
% 271.79/39.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------