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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO004+4 : 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.lVcl0ZLxfE true

% Computer : n014.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 112.88s 16.73s
% Output   : Refutation 112.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  232 ( 112 unt;   0 typ;   0 def)
%            Number of atoms       :  452 (  48 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives : 1801 ( 177   ~; 166   |;  35   &;1404   @)
%                                         (   4 <=>;  15  =>;   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     :   28 (  26 usr;   6 con; 0-3 aty)
%            Number of variables   :  221 (   0   ^; 207   !;  14   ?; 221   :)

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

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

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

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

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

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

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

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

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

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

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

thf(sk__4_type,type,
    sk__4: $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(tptp3_type,type,
    tptp3: $i ).

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

thf(sk__2_type,type,
    sk__2: $i > $i > $i > $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_cl92,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).

thf(goals,conjecture,
    ~ ? [X111: $i] : ( occurrence_of @ X111 @ tptp0 ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X111: $i] : ( occurrence_of @ X111 @ tptp0 ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl81,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_47,axiom,
    ! [X108: $i,X109: $i] :
      ( ( ( occurrence_of @ X109 @ tptp0 )
        & ( subactivity_occurrence @ X108 @ X109 )
        & ( arboreal @ X108 )
        & ~ ( leaf_occ @ X108 @ X109 ) )
     => ? [X110: $i] :
          ( ( next_subocc @ X108 @ X110 @ tptp0 )
          & ( occurrence_of @ X110 @ tptp1 ) ) ) ).

thf(zip_derived_cl79,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_47]) ).

thf(zip_derived_cl572,plain,
    ! [X0: $i] :
      ( ( next_subocc @ X0 @ ( sk__14 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__15 )
      | ( leaf_occ @ X0 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl79]) ).

thf(zip_derived_cl2711,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('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl572]) ).

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_cl81_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_cl87,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ sk__15 @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl14]) ).

thf(zip_derived_cl96,plain,
    ( ~ ( activity_occurrence @ sk__15 )
    | ( tptp0
      = ( sk__4 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl87]) ).

thf(zip_derived_cl81_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_cl90,plain,
    activity_occurrence @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl5]) ).

thf(zip_derived_cl97,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl90]) ).

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

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

thf(zip_derived_cl90_004,plain,
    activity_occurrence @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl5]) ).

thf(zip_derived_cl97_005,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl90]) ).

thf(zip_derived_cl81_006,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_007,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl82,plain,
    ( ( atomic @ tptp0 )
    | ( root @ ( sk_ @ sk__15 @ tptp0 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl0]) ).

thf(zip_derived_cl66_008,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl83,plain,
    root @ ( sk_ @ sk__15 @ tptp0 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl66]) ).

thf(zip_derived_cl81_009,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl392,plain,
    ! [X0: $i] :
      ( ( root_occ @ X0 @ sk__15 )
      | ~ ( root @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl40]) ).

thf(zip_derived_cl456,plain,
    ( ( root_occ @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15 )
    | ~ ( subactivity_occurrence @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl392]) ).

thf(zip_derived_cl81_010,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_011,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_cl84,plain,
    ( ( atomic @ tptp0 )
    | ( subactivity_occurrence @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl1]) ).

thf(zip_derived_cl66_012,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl85,plain,
    subactivity_occurrence @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl66]) ).

thf(zip_derived_cl459,plain,
    root_occ @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl85]) ).

thf(zip_derived_cl81_013,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_cl160,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,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_cl191,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root_occ @ X0 @ sk__15 )
      | ~ ( occurrence_of @ sk__15 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl57]) ).

thf(zip_derived_cl466,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ sk__15 @ tptp0 )
        = ( sk__12 @ sk__15 ) )
      | ~ ( occurrence_of @ sk__15 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl191]) ).

thf(zip_derived_cl468,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl466]) ).

thf(zip_derived_cl97_014,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl90]) ).

thf(zip_derived_cl468_015,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl466]) ).

thf(zip_derived_cl97_016,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl90]) ).

thf(zip_derived_cl468_017,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl466]) ).

thf(zip_derived_cl81_018,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_cl107,plain,
    occurrence_of @ ( sk__12 @ sk__15 ) @ tptp4,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,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_cl134,plain,
    ( ~ ( atomic @ tptp4 )
    | ( arboreal @ ( sk__12 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl107,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_cl134,zip_derived_cl67]) ).

thf(zip_derived_cl97_019,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl90]) ).

thf(zip_derived_cl468_020,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl466]) ).

thf(zip_derived_cl81_021,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_022,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_cl193,plain,
    next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl64]) ).

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_cl195,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl51]) ).

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_cl205,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl15]) ).

thf(zip_derived_cl210,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl205]) ).

thf(zip_derived_cl2716,plain,
    next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl2711,zip_derived_cl97,zip_derived_cl66,zip_derived_cl90,zip_derived_cl97,zip_derived_cl468,zip_derived_cl97,zip_derived_cl468,zip_derived_cl97,zip_derived_cl468,zip_derived_cl137,zip_derived_cl97,zip_derived_cl468,zip_derived_cl210]) ).

thf(zip_derived_cl51_023,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_cl2721,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl2716,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_cl2759,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl2721,zip_derived_cl11]) ).

thf(zip_derived_cl2721_024,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl2716,zip_derived_cl51]) ).

thf(sos_10,axiom,
    ! [X35: $i,X36: $i,X37: $i] :
      ( ( ( occurrence_of @ X35 @ X37 )
        & ( root_occ @ X36 @ X35 ) )
     => ~ ? [X38: $i] : ( min_precedes @ X38 @ X36 @ X37 ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( root_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( min_precedes @ X3 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl2757,plain,
    ! [X0: $i] :
      ( ~ ( root_occ @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2721,zip_derived_cl16]) ).

thf(zip_derived_cl2911,plain,
    ~ ( root_occ @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2759,zip_derived_cl2757]) ).

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

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

thf(zip_derived_cl3015,plain,
    ( ~ ( arboreal @ ( sk__14 @ ( sk__12 @ sk__15 ) ) )
    | ~ ( occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0 )
    | ~ ( subactivity_occurrence @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
    | ( leaf_occ @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2911,zip_derived_cl77]) ).

thf(zip_derived_cl81_025,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl161,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,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_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_cl262,plain,
    occurrence_of @ sk__15 @ ( sk__8 @ sk__15 @ ( sk__13 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl161,zip_derived_cl34]) ).

thf(zip_derived_cl87_026,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ sk__15 @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl14]) ).

thf(zip_derived_cl279,plain,
    ( tptp0
    = ( sk__8 @ sk__15 @ ( sk__13 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl87]) ).

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_cl287,plain,
    ( ( leaf @ ( sk__13 @ sk__15 ) @ tptp0 )
    | ~ ( leaf_occ @ ( sk__13 @ sk__15 ) @ sk__15 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl35]) ).

thf(zip_derived_cl161_027,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl63]) ).

thf(zip_derived_cl289,plain,
    leaf @ ( sk__13 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl161]) ).

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_cl291,plain,
    ( ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl13]) ).

thf(zip_derived_cl66_028,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl294,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl66]) ).

thf(zip_derived_cl205_029,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl15]) ).

thf(zip_derived_cl312,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl205]) ).

thf(zip_derived_cl80,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_47]) ).

thf(zip_derived_cl597,plain,
    ( ( occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1 )
    | ~ ( arboreal @ ( sk__12 @ sk__15 ) )
    | ~ ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 )
    | ~ ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl312,zip_derived_cl80]) ).

thf(zip_derived_cl137_030,plain,
    arboreal @ ( sk__12 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl67]) ).

thf(zip_derived_cl294_031,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl66]) ).

thf(zip_derived_cl294_032,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl66]) ).

thf(zip_derived_cl195_033,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl193,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_cl486,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__13 @ sk__15 ) @ X0 )
      | ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl55]) ).

thf(zip_derived_cl524,plain,
    ( ~ ( subactivity_occurrence @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    | ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl486]) ).

thf(zip_derived_cl289_034,plain,
    leaf @ ( sk__13 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl161]) ).

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_cl290,plain,
    ( ( leaf_occ @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl12]) ).

thf(zip_derived_cl66_035,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl293,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl290,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_cl504,plain,
    subactivity_occurrence @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl33]) ).

thf(zip_derived_cl526,plain,
    subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl524,zip_derived_cl504]) ).

thf(zip_derived_cl601,plain,
    occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl137,zip_derived_cl294,zip_derived_cl526]) ).

thf(zip_derived_cl30_036,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_16]) ).

thf(zip_derived_cl605,plain,
    ( ~ ( atomic @ tptp1 )
    | ( arboreal @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl30]) ).

thf(sos_38,axiom,
    atomic @ tptp1 ).

thf(zip_derived_cl70,plain,
    atomic @ tptp1,
    inference(cnf,[status(esa)],[sos_38]) ).

thf(zip_derived_cl614,plain,
    arboreal @ ( sk__14 @ ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl605,zip_derived_cl70]) ).

thf(zip_derived_cl2759_037,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl2721,zip_derived_cl11]) ).

thf(zip_derived_cl3017,plain,
    ( ~ ( subactivity_occurrence @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
    | ( leaf_occ @ ( 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_cl3015,zip_derived_cl614,zip_derived_cl2759]) ).

thf(zip_derived_cl2721_038,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl2716,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_cl2758,plain,
    subactivity_occurrence @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2721,zip_derived_cl9]) ).

thf(zip_derived_cl41954,plain,
    leaf_occ @ ( 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_cl3017,zip_derived_cl2758]) ).

thf(zip_derived_cl2759_039,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl2721,zip_derived_cl11]) ).

thf(zip_derived_cl14_040,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_cl2893,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2759,zip_derived_cl14]) ).

thf(zip_derived_cl34_041,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_cl2946,plain,
    ! [X0: $i] :
      ( ( tptp0
        = ( sk__8 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ X0 ) )
      | ~ ( leaf_occ @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2893,zip_derived_cl34]) ).

thf(zip_derived_cl35_042,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl39366,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ( leaf @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2946,zip_derived_cl35]) ).

thf(zip_derived_cl39380,plain,
    ! [X0: $i] :
      ( ( leaf @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl39366]) ).

thf(zip_derived_cl41960,plain,
    leaf @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl41954,zip_derived_cl39380]) ).

thf(zip_derived_cl13_043,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_cl41967,plain,
    ( ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) @ tptp0 )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41960,zip_derived_cl13]) ).

thf(zip_derived_cl66_044,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl41994,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl41967,zip_derived_cl66]) ).

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_cl42015,plain,
    occurrence_of @ ( sk__13 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ) @ tptp3,
    inference('s_sup-',[status(thm)],[zip_derived_cl41994,zip_derived_cl62]) ).

thf(zip_derived_cl19_045,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(zip_derived_cl14_046,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 )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk__4 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl14]) ).

thf(zip_derived_cl5_047,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_03]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__4 @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl5]) ).

thf(zip_derived_cl42596,plain,
    ( ( sk__4 @ ( sk__13 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ) )
    = tptp3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42015,zip_derived_cl147]) ).

thf(zip_derived_cl41994_048,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl41967,zip_derived_cl66]) ).

thf(zip_derived_cl195_049,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl51]) ).

thf(zip_derived_cl11_050,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_cl208,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl11]) ).

thf(zip_derived_cl14_051,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_cl224,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl14]) ).

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_cl370,plain,
    ! [X0: $i] :
      ( ( tptp0
        = ( sk__9 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ X0 ) )
      | ~ ( root_occ @ X0 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl38]) ).

thf(zip_derived_cl208_052,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl11]) ).

thf(zip_derived_cl60_053,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__12 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl227,plain,
    root_occ @ ( sk__12 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl60]) ).

thf(zip_derived_cl38_054,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_cl1063,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ ( sk__9 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ ( sk__12 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl38]) ).

thf(zip_derived_cl208_055,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl11]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( arboreal @ X0 )
      | ( atomic @ X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_16]) ).

thf(zip_derived_cl225,plain,
    ( ~ ( arboreal @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl31]) ).

thf(zip_derived_cl66_056,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl237,plain,
    ~ ( arboreal @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl66]) ).

thf(zip_derived_cl30_057,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_16]) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i] :
      ( ~ ( atomic @ X0 )
      | ~ ( occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl237,zip_derived_cl30]) ).

thf(zip_derived_cl9998,plain,
    ~ ( atomic @ ( sk__9 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ ( sk__12 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1063,zip_derived_cl241]) ).

thf(zip_derived_cl227_058,plain,
    root_occ @ ( sk__12 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl60]) ).

thf(zip_derived_cl57_059,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_cl1064,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( sk__12 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) )
      | ~ ( root_occ @ X0 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ~ ( occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl57]) ).

thf(zip_derived_cl1063_060,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ ( sk__9 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ ( sk__12 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl38]) ).

thf(zip_derived_cl10068,plain,
    ! [X0: $i] :
      ( ~ ( root_occ @ X0 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ( X0
        = ( sk__12 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1064,zip_derived_cl1063]) ).

thf(zip_derived_cl160_061,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl60]) ).

thf(zip_derived_cl38_062,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_cl373,plain,
    occurrence_of @ sk__15 @ ( sk__9 @ sk__15 @ ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl38]) ).

thf(zip_derived_cl87_063,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ sk__15 @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl14]) ).

thf(zip_derived_cl403,plain,
    ( tptp0
    = ( sk__9 @ sk__15 @ ( sk__12 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl87]) ).

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_cl413,plain,
    ( ( root @ ( sk__12 @ sk__15 ) @ tptp0 )
    | ~ ( root_occ @ ( sk__12 @ sk__15 ) @ sk__15 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl403,zip_derived_cl39]) ).

thf(zip_derived_cl160_064,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl60]) ).

thf(zip_derived_cl415,plain,
    root @ ( sk__12 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl413,zip_derived_cl160]) ).

thf(zip_derived_cl208_065,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl11]) ).

thf(zip_derived_cl40_066,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_cl387,plain,
    ! [X0: $i] :
      ( ( root_occ @ X0 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ~ ( root @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl40]) ).

thf(zip_derived_cl2043,plain,
    ( ( root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
    | ~ ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl387]) ).

thf(zip_derived_cl195_067,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl193,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_cl201,plain,
    subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl10]) ).

thf(zip_derived_cl2048,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl2043,zip_derived_cl201]) ).

thf(zip_derived_cl10562,plain,
    ( ( sk__12 @ sk__15 )
    = ( sk__12 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10068,zip_derived_cl2048]) ).

thf(zip_derived_cl10629,plain,
    ~ ( atomic @ ( sk__9 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ ( sk__12 @ sk__15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9998,zip_derived_cl10562]) ).

thf(sos_28,axiom,
    ! [X86: $i,X87: $i,X88: $i,X89: $i] :
      ( ( ( occurrence_of @ X88 @ X89 )
        & ~ ( atomic @ X89 )
        & ( leaf_occ @ X86 @ X88 )
        & ( leaf_occ @ X87 @ X88 ) )
     => ( X86 = X87 ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( leaf_occ @ X0 @ X2 )
      | ~ ( leaf_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X3 )
      | ( atomic @ X3 ) ),
    inference(cnf,[status(esa)],[sos_28]) ).

thf(zip_derived_cl10649,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X1 )
      | ~ ( leaf_occ @ X1 @ X2 )
      | ~ ( leaf_occ @ X0 @ X2 )
      | ~ ( occurrence_of @ X2 @ ( sk__9 @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ ( sk__12 @ sk__15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10629,zip_derived_cl56]) ).

thf(zip_derived_cl10839,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
      | ( X1 = X2 )
      | ~ ( leaf_occ @ X2 @ X0 )
      | ~ ( leaf_occ @ X1 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl10649]) ).

thf(zip_derived_cl2048_068,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl2043,zip_derived_cl201]) ).

thf(zip_derived_cl10840,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ ( leaf_occ @ X2 @ X0 )
      | ~ ( leaf_occ @ X1 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10839,zip_derived_cl2048]) ).

thf(zip_derived_cl42049,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( leaf_occ @ X1 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) )
      | ~ ( leaf_occ @ X0 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41994,zip_derived_cl10840]) ).

thf(zip_derived_cl41960_069,plain,
    leaf @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl41954,zip_derived_cl39380]) ).

thf(zip_derived_cl12_070,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_cl41966,plain,
    ( ( leaf_occ @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41960,zip_derived_cl12]) ).

thf(zip_derived_cl66_071,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl41993,plain,
    leaf_occ @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl41966,zip_derived_cl66]) ).

thf(zip_derived_cl56235,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) )
      | ( X0
        = ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl42049,zip_derived_cl41993]) ).

thf(zip_derived_cl41994_072,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl41967,zip_derived_cl66]) ).

thf(zip_derived_cl63_073,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__13 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl42016,plain,
    leaf_occ @ ( sk__13 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ) @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41994,zip_derived_cl63]) ).

thf(zip_derived_cl56683,plain,
    ( ( sk__13 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) )
    = ( sk__14 @ ( sk__12 @ sk__15 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl56235,zip_derived_cl42016]) ).

thf(zip_derived_cl601_074,plain,
    occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl137,zip_derived_cl294,zip_derived_cl526]) ).

thf(zip_derived_cl147_075,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__4 @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl5]) ).

thf(zip_derived_cl611,plain,
    ( ( sk__4 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) )
    = tptp1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl147]) ).

thf(zip_derived_cl56719,plain,
    tptp1 = tptp3,
    inference(demod,[status(thm)],[zip_derived_cl42596,zip_derived_cl56683,zip_derived_cl611]) ).

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

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

thf(zip_derived_cl56720,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl56719,zip_derived_cl74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : PRO004+4 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lVcl0ZLxfE true
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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/sandbox2/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
% 0.60/0.66  % Total configuration time : 435
% 0.60/0.66  % Estimated wc time : 1092
% 0.60/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 112.88/16.73  % Solved by fo/fo13.sh.
% 112.88/16.73  % done 6573 iterations in 15.918s
% 112.88/16.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 112.88/16.73  % SZS output start Refutation
% See solution above
% 112.88/16.73  
% 112.88/16.73  
% 112.88/16.73  % Terminating...
% 113.05/16.82  % Runner terminated.
% 113.05/16.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------