TSTP Solution File: PRO005+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO005+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VSQJpEfo5i 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 Aug 31 13:10:36 EDT 2023

% Result   : Theorem 222.33s 32.45s
% Output   : Refutation 222.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  261 ( 113 unt;  27 typ;   0 def)
%            Number of atoms       :  458 (  53 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives : 1825 ( 178   ~; 170   |;  35   &;1423   @)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  27 usr;   7 con; 0-3 aty)
%            Number of variables   :  220 (   0   ^; 206   !;  14   ?; 220   :)

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

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

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

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

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

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

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

thf(sk__type,type,
    sk_: $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__8_type,type,
    sk__8: $i > $i > $i ).

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

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

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

thf(sk__2_type,type,
    sk__2: $i > $i > $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(sk__15_type,type,
    sk__15: $i ).

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

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

thf(sk__13_type,type,
    sk__13: $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,
    ~ ? [X109: $i] : ( occurrence_of @ X109 @ tptp0 ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X109: $i] : ( occurrence_of @ X109 @ tptp0 ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl80,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_46,axiom,
    ! [X106: $i,X107: $i] :
      ( ( ( occurrence_of @ X107 @ tptp0 )
        & ( subactivity_occurrence @ X106 @ X107 )
        & ( arboreal @ X106 )
        & ~ ( leaf_occ @ X106 @ X107 ) )
     => ? [X108: $i] :
          ( ( next_subocc @ X106 @ X108 @ tptp0 )
          & ( occurrence_of @ X108 @ tptp1 ) ) ) ).

thf(zip_derived_cl78,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_46]) ).

thf(zip_derived_cl557,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_cl80,zip_derived_cl78]) ).

thf(zip_derived_cl2999,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_cl557]) ).

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_cl80_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_cl86,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ sk__15 @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,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_cl86]) ).

thf(zip_derived_cl80_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_cl89,plain,
    activity_occurrence @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl5]) ).

thf(zip_derived_cl97,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl89]) ).

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

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

thf(zip_derived_cl89_004,plain,
    activity_occurrence @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl5]) ).

thf(zip_derived_cl97_005,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl89]) ).

thf(zip_derived_cl80_006,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_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_cl81,plain,
    ( ( atomic @ tptp0 )
    | ( root @ ( sk_ @ sk__15 @ tptp0 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl0]) ).

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

thf(zip_derived_cl82,plain,
    root @ ( sk_ @ sk__15 @ tptp0 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl66]) ).

thf(zip_derived_cl80_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_cl361,plain,
    ! [X0: $i] :
      ( ( root_occ @ X0 @ sk__15 )
      | ~ ( root @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl40]) ).

thf(zip_derived_cl362,plain,
    ( ( root_occ @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15 )
    | ~ ( subactivity_occurrence @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl361]) ).

thf(zip_derived_cl80_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_cl83,plain,
    ( ( atomic @ tptp0 )
    | ( subactivity_occurrence @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl1]) ).

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

thf(zip_derived_cl84,plain,
    subactivity_occurrence @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl66]) ).

thf(zip_derived_cl363,plain,
    root_occ @ ( sk_ @ sk__15 @ tptp0 ) @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl84]) ).

thf(zip_derived_cl80_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 @ tptp2 )
            | ( 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_cl138,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl80,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_cl164,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_cl138,zip_derived_cl57]) ).

thf(zip_derived_cl368,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ sk__15 @ tptp0 )
        = ( sk__12 @ sk__15 ) )
      | ~ ( occurrence_of @ sk__15 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl164]) ).

thf(zip_derived_cl370,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl368]) ).

thf(zip_derived_cl97_014,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl89]) ).

thf(zip_derived_cl370_015,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl368]) ).

thf(zip_derived_cl97_016,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl89]) ).

thf(zip_derived_cl370_017,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl368]) ).

thf(zip_derived_cl80_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_cl106,plain,
    occurrence_of @ ( sk__12 @ sk__15 ) @ tptp4,
    inference('s_sup-',[status(thm)],[zip_derived_cl80,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_cl129,plain,
    ( ~ ( atomic @ tptp4 )
    | ( arboreal @ ( sk__12 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl106,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_cl131,plain,
    arboreal @ ( sk__12 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl67]) ).

thf(zip_derived_cl97_019,plain,
    ( tptp0
    = ( sk__4 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl89]) ).

thf(zip_derived_cl370_020,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl368]) ).

thf(zip_derived_cl80_021,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_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_cl166,plain,
    next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl80,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_cl169,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl166,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_cl177,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl15]) ).

thf(zip_derived_cl181,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ sk__15 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl177]) ).

thf(zip_derived_cl3006,plain,
    next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl2999,zip_derived_cl97,zip_derived_cl66,zip_derived_cl89,zip_derived_cl97,zip_derived_cl370,zip_derived_cl97,zip_derived_cl370,zip_derived_cl97,zip_derived_cl370,zip_derived_cl131,zip_derived_cl97,zip_derived_cl370,zip_derived_cl181]) ).

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_cl3011,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl3006,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_cl3054,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl3011,zip_derived_cl11]) ).

thf(zip_derived_cl3011_024,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl3006,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_cl3052,plain,
    ! [X0: $i] :
      ( ~ ( root_occ @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3011,zip_derived_cl16]) ).

thf(zip_derived_cl3234,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_cl3054,zip_derived_cl3052]) ).

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_cl3362,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_cl3234,zip_derived_cl77]) ).

thf(zip_derived_cl80_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_cl139,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl80,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_cl234,plain,
    occurrence_of @ sk__15 @ ( sk__8 @ sk__15 @ ( sk__13 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl34]) ).

thf(zip_derived_cl86_026,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ sk__15 @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl14]) ).

thf(zip_derived_cl243,plain,
    ( tptp0
    = ( sk__8 @ sk__15 @ ( sk__13 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl86]) ).

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_cl252,plain,
    ( ( leaf @ ( sk__13 @ sk__15 ) @ tptp0 )
    | ~ ( leaf_occ @ ( sk__13 @ sk__15 ) @ sk__15 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl35]) ).

thf(zip_derived_cl139_027,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl63]) ).

thf(zip_derived_cl254,plain,
    leaf @ ( sk__13 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl139]) ).

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_cl257,plain,
    ( ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0 )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl13]) ).

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

thf(zip_derived_cl260,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl66]) ).

thf(zip_derived_cl177_029,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl15]) ).

thf(zip_derived_cl274,plain,
    ~ ( leaf_occ @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl177]) ).

thf(zip_derived_cl79,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_46]) ).

thf(zip_derived_cl576,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_cl274,zip_derived_cl79]) ).

thf(zip_derived_cl131_030,plain,
    arboreal @ ( sk__12 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl67]) ).

thf(zip_derived_cl260_031,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl66]) ).

thf(zip_derived_cl260_032,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl66]) ).

thf(zip_derived_cl169_033,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl166,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_cl396,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_cl169,zip_derived_cl55]) ).

thf(zip_derived_cl455,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_cl260,zip_derived_cl396]) ).

thf(zip_derived_cl254_034,plain,
    leaf @ ( sk__13 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl139]) ).

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_cl256,plain,
    ( ( leaf_occ @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ) )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl12]) ).

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

thf(zip_derived_cl259,plain,
    leaf_occ @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,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_cl426,plain,
    subactivity_occurrence @ ( sk__13 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl33]) ).

thf(zip_derived_cl457,plain,
    subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__3 @ tptp0 @ ( sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl426]) ).

thf(zip_derived_cl580,plain,
    occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl131,zip_derived_cl260,zip_derived_cl457]) ).

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_cl584,plain,
    ( ~ ( atomic @ tptp1 )
    | ( arboreal @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,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_cl593,plain,
    arboreal @ ( sk__14 @ ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl70]) ).

thf(zip_derived_cl3054_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_cl3011,zip_derived_cl11]) ).

thf(zip_derived_cl3364,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_cl3362,zip_derived_cl593,zip_derived_cl3054]) ).

thf(zip_derived_cl3011_038,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl3006,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_cl3053,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_cl3011,zip_derived_cl9]) ).

thf(zip_derived_cl47688,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_cl3364,zip_derived_cl3053]) ).

thf(zip_derived_cl3054_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_cl3011,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_cl3216,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_cl3054,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_cl3248,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_cl3216,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_cl43520,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_cl3248,zip_derived_cl35]) ).

thf(zip_derived_cl43534,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_cl43520]) ).

thf(zip_derived_cl47694,plain,
    leaf @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl47688,zip_derived_cl43534]) ).

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_cl47701,plain,
    ( ( occurrence_of @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) @ tptp0 )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47694,zip_derived_cl13]) ).

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

thf(zip_derived_cl47730,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl47701,zip_derived_cl66]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__13 @ X0 ) @ tptp3 )
      | ( occurrence_of @ ( sk__13 @ X0 ) @ tptp2 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl47752,plain,
    ( ( occurrence_of @ ( sk__13 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ) @ tptp3 )
    | ( occurrence_of @ ( sk__13 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ) @ tptp2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47730,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_cl123,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_cl54698,plain,
    ( ( occurrence_of @ ( sk__13 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ) @ tptp3 )
    | ( ( sk__4 @ ( sk__13 @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) ) )
      = tptp2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47752,zip_derived_cl123]) ).

thf(zip_derived_cl47730_048,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl47701,zip_derived_cl66]) ).

thf(zip_derived_cl169_049,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl166,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_cl182,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl169,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_cl196,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_cl182,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_cl349,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_cl196,zip_derived_cl38]) ).

thf(zip_derived_cl182_052,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl169,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_cl199,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_cl182,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_cl1028,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_cl199,zip_derived_cl38]) ).

thf(zip_derived_cl182_055,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl169,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_cl197,plain,
    ( ~ ( arboreal @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl31]) ).

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

thf(zip_derived_cl208,plain,
    ~ ( arboreal @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,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_cl212,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_cl208,zip_derived_cl30]) ).

thf(zip_derived_cl9698,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_cl1028,zip_derived_cl212]) ).

thf(zip_derived_cl199_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_cl182,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_cl1029,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_cl199,zip_derived_cl57]) ).

thf(zip_derived_cl1028_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_cl199,zip_derived_cl38]) ).

thf(zip_derived_cl9760,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_cl1029,zip_derived_cl1028]) ).

thf(zip_derived_cl82_061,plain,
    root @ ( sk_ @ sk__15 @ tptp0 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl66]) ).

thf(zip_derived_cl370_062,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl368]) ).

thf(zip_derived_cl372,plain,
    root @ ( sk__12 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl370]) ).

thf(zip_derived_cl182_063,plain,
    occurrence_of @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl11]) ).

thf(zip_derived_cl40_064,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_cl357,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_cl182,zip_derived_cl40]) ).

thf(zip_derived_cl1940,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_cl372,zip_derived_cl357]) ).

thf(zip_derived_cl169_065,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl166,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_cl173,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_cl169,zip_derived_cl10]) ).

thf(zip_derived_cl1945,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl1940,zip_derived_cl173]) ).

thf(zip_derived_cl9898,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_cl9760,zip_derived_cl1945]) ).

thf(zip_derived_cl9972,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_cl9698,zip_derived_cl9898]) ).

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_cl9984,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_cl9972,zip_derived_cl56]) ).

thf(zip_derived_cl13694,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_cl349,zip_derived_cl9984]) ).

thf(zip_derived_cl1945_066,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__13 @ sk__15 ) @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl1940,zip_derived_cl173]) ).

thf(zip_derived_cl13695,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_cl13694,zip_derived_cl1945]) ).

thf(zip_derived_cl47786,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_cl47730,zip_derived_cl13695]) ).

thf(zip_derived_cl47694_067,plain,
    leaf @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl47688,zip_derived_cl43534]) ).

thf(zip_derived_cl12_068,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_cl47700,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_cl47694,zip_derived_cl12]) ).

thf(zip_derived_cl66_069,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl47729,plain,
    leaf_occ @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl47700,zip_derived_cl66]) ).

thf(zip_derived_cl75099,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_cl47786,zip_derived_cl47729]) ).

thf(zip_derived_cl47730_070,plain,
    occurrence_of @ ( sk__3 @ tptp0 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl47701,zip_derived_cl66]) ).

thf(zip_derived_cl63_071,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__13 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl47753,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_cl47730,zip_derived_cl63]) ).

thf(zip_derived_cl75586,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_cl75099,zip_derived_cl47753]) ).

thf(zip_derived_cl75586_072,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_cl75099,zip_derived_cl47753]) ).

thf(zip_derived_cl580_073,plain,
    occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl131,zip_derived_cl260,zip_derived_cl457]) ).

thf(zip_derived_cl123_074,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_cl590,plain,
    ( ( sk__4 @ ( sk__14 @ ( sk__12 @ sk__15 ) ) )
    = tptp1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl123]) ).

thf(zip_derived_cl75670,plain,
    ( ( occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp3 )
    | ( tptp1 = tptp2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl54698,zip_derived_cl75586,zip_derived_cl75586,zip_derived_cl590]) ).

thf(sos_43,axiom,
    tptp1 != tptp2 ).

thf(zip_derived_cl75,plain,
    tptp1 != tptp2,
    inference(cnf,[status(esa)],[sos_43]) ).

thf(zip_derived_cl75671,plain,
    occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp3,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl75670,zip_derived_cl75]) ).

thf(zip_derived_cl580_075,plain,
    occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl131,zip_derived_cl260,zip_derived_cl457]) ).

thf(zip_derived_cl14_076,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_cl588,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__14 @ ( sk__12 @ sk__15 ) ) @ X0 )
      | ( tptp1 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl14]) ).

thf(zip_derived_cl75840,plain,
    tptp1 = tptp3,
    inference('s_sup-',[status(thm)],[zip_derived_cl75671,zip_derived_cl588]) ).

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

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

thf(zip_derived_cl75848,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl75840,zip_derived_cl74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PRO005+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VSQJpEfo5i true
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 19:21:30 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.15/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.15/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.15/0.80  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 222.33/32.45  % Solved by fo/fo13.sh.
% 222.33/32.45  % done 7447 iterations in 31.640s
% 222.33/32.45  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 222.33/32.45  % SZS output start Refutation
% See solution above
% 222.33/32.45  
% 222.33/32.45  
% 222.33/32.45  % Terminating...
% 222.94/32.60  % Runner terminated.
% 222.94/32.62  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------