TSTP Solution File: PRO017+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO017+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fehwfame98 true

% Computer : n021.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 13:10:45 EDT 2023

% Result   : Theorem 26.65s 4.39s
% Output   : Refutation 26.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  182 (  52 unt;  22 typ;   0 def)
%            Number of atoms       :  410 (  31 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives : 1631 ( 171   ~; 205   |;  32   &;1210   @)
%                                         (   4 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;   8 con; 0-3 aty)
%            Number of variables   :  195 (   0   ^; 182   !;  13   ?; 195   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(goals,conjecture,
    ! [X167: $i,X168: $i] :
      ( ( ( occurrence_of @ X168 @ tptp0 )
        & ( subactivity_occurrence @ X167 @ X168 )
        & ( arboreal @ X167 )
        & ~ ( leaf_occ @ X167 @ X168 ) )
     => ? [X169: $i,X170: $i] :
          ( ( leaf @ X170 @ tptp0 )
          & ( min_precedes @ X169 @ X170 @ tptp0 )
          & ( ( occurrence_of @ X170 @ tptp1 )
            | ( occurrence_of @ X170 @ tptp2 ) )
          & ( next_subocc @ X167 @ X169 @ tptp0 )
          & ( occurrence_of @ X169 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X167: $i,X168: $i] :
        ( ( ( occurrence_of @ X168 @ tptp0 )
          & ( subactivity_occurrence @ X167 @ X168 )
          & ( arboreal @ X167 )
          & ~ ( leaf_occ @ X167 @ X168 ) )
       => ? [X169: $i,X170: $i] :
            ( ( leaf @ X170 @ tptp0 )
            & ( min_precedes @ X169 @ X170 @ tptp0 )
            & ( ( occurrence_of @ X170 @ tptp1 )
              | ( occurrence_of @ X170 @ tptp2 ) )
            & ( next_subocc @ X167 @ X169 @ tptp0 )
            & ( occurrence_of @ X169 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl54,plain,
    subactivity_occurrence @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    occurrence_of @ sk__10 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_49,axiom,
    ! [X161: $i,X162: $i] :
      ( ( ( occurrence_of @ X162 @ tptp0 )
        & ( subactivity_occurrence @ X161 @ X162 )
        & ( arboreal @ X161 )
        & ~ ( leaf_occ @ X161 @ X162 ) )
     => ? [X163: $i,X164: $i,X165: $i] :
          ( ! [X166: $i] :
              ( ( min_precedes @ X163 @ X166 @ tptp0 )
             => ( ( X166 = X164 )
                | ( X166 = X165 ) ) )
          & ( min_precedes @ X164 @ X165 @ tptp0 )
          & ( ( occurrence_of @ X165 @ tptp1 )
            | ( occurrence_of @ X165 @ tptp2 ) )
          & ( min_precedes @ X163 @ X164 @ tptp0 )
          & ( occurrence_of @ X164 @ tptp4 )
          & ( next_subocc @ X161 @ X163 @ tptp0 )
          & ( occurrence_of @ X163 @ tptp3 ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl1348,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__10 )
      | ~ ( subactivity_occurrence @ X0 @ sk__10 )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl40]) ).

thf(zip_derived_cl5220,plain,
    ( ( min_precedes @ ( sk__7 @ sk__9 ) @ ( sk__8 @ sk__9 ) @ tptp0 )
    | ~ ( arboreal @ sk__9 )
    | ( leaf_occ @ sk__9 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl1348]) ).

thf(zip_derived_cl56,plain,
    arboreal @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    ~ ( leaf_occ @ sk__9 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5221,plain,
    min_precedes @ ( sk__7 @ sk__9 ) @ ( sk__8 @ sk__9 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl5220,zip_derived_cl56,zip_derived_cl53]) ).

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

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl54_001,plain,
    subactivity_occurrence @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_002,plain,
    occurrence_of @ sk__10 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__6 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl710,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__10 )
      | ~ ( subactivity_occurrence @ X0 @ sk__10 )
      | ~ ( arboreal @ X0 )
      | ( next_subocc @ X0 @ ( sk__6 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl37]) ).

thf(zip_derived_cl711,plain,
    ( ( next_subocc @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0 )
    | ~ ( arboreal @ sk__9 )
    | ( leaf_occ @ sk__9 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl710]) ).

thf(zip_derived_cl56_003,plain,
    arboreal @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_004,plain,
    ~ ( leaf_occ @ sk__9 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl712,plain,
    next_subocc @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl711,zip_derived_cl56,zip_derived_cl53]) ).

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

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl713,plain,
    min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__3 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl13_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__6 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( occurrence_of @ ( sk__6 @ X2 ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl38]) ).

thf(zip_derived_cl842,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( occurrence_of @ ( sk__6 @ X1 ) @ tptp3 )
      | ~ ( arboreal @ X1 )
      | ( leaf_occ @ X1 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl501]) ).

thf(zip_derived_cl848,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X1 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X1 )
      | ( occurrence_of @ ( sk__6 @ X1 ) @ tptp3 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl842]) ).

thf(zip_derived_cl856,plain,
    ( ( occurrence_of @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp3 )
    | ~ ( arboreal @ ( sk__6 @ sk__9 ) )
    | ( leaf_occ @ ( sk__6 @ sk__9 ) @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl848]) ).

thf(zip_derived_cl54_006,plain,
    subactivity_occurrence @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_007,plain,
    occurrence_of @ sk__10 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__6 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl431,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__10 )
      | ~ ( subactivity_occurrence @ X0 @ sk__10 )
      | ~ ( arboreal @ X0 )
      | ( occurrence_of @ ( sk__6 @ X0 ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl38]) ).

thf(zip_derived_cl432,plain,
    ( ( occurrence_of @ ( sk__6 @ sk__9 ) @ tptp3 )
    | ~ ( arboreal @ sk__9 )
    | ( leaf_occ @ sk__9 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl431]) ).

thf(zip_derived_cl56_009,plain,
    arboreal @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_010,plain,
    ~ ( leaf_occ @ sk__9 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433,plain,
    occurrence_of @ ( sk__6 @ sk__9 ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl56,zip_derived_cl53]) ).

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

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

thf(zip_derived_cl436,plain,
    ( ( arboreal @ ( sk__6 @ sk__9 ) )
    | ~ ( atomic @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl1]) ).

thf(sos_55,axiom,
    atomic @ tptp3 ).

thf(zip_derived_cl46,plain,
    atomic @ tptp3,
    inference(cnf,[status(esa)],[sos_55]) ).

thf(zip_derived_cl441,plain,
    arboreal @ ( sk__6 @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl436,zip_derived_cl46]) ).

thf(zip_derived_cl857,plain,
    ( ( occurrence_of @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp3 )
    | ( leaf_occ @ ( sk__6 @ sk__9 ) @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl856,zip_derived_cl441]) ).

thf(zip_derived_cl713_011,plain,
    min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl7]) ).

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

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leaf @ X0 @ X1 )
      | ( min_precedes @ X0 @ ( sk_ @ X1 @ X0 ) @ X1 )
      | ~ ( min_precedes @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_21]) ).

thf(zip_derived_cl761,plain,
    ( ( min_precedes @ ( sk__6 @ sk__9 ) @ ( sk_ @ tptp0 @ ( sk__6 @ sk__9 ) ) @ tptp0 )
    | ( leaf @ ( sk__6 @ sk__9 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl5]) ).

thf(zip_derived_cl713_012,plain,
    min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__3 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl13_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl1045,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( min_precedes @ ( sk__6 @ X2 ) @ ( sk__7 @ X2 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl35]) ).

thf(zip_derived_cl1815,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( min_precedes @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ( leaf_occ @ X0 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1045]) ).

thf(zip_derived_cl1824,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X0 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) @ tptp0 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1815]) ).

thf(sos_46,axiom,
    ! [X148: $i,X149: $i,X150: $i] :
      ( ( min_precedes @ X148 @ X149 @ X150 )
     => ( arboreal @ X148 ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( arboreal @ X0 )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_46]) ).

thf(zip_derived_cl1835,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( min_precedes @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) @ tptp0 )
      | ( leaf_occ @ X0 @ ( sk__3 @ X1 @ X0 @ tptp0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1824,zip_derived_cl32]) ).

thf(zip_derived_cl1838,plain,
    ( ( leaf_occ @ sk__9 @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) )
    | ( min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl1835]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( leaf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_21]) ).

thf(zip_derived_cl1915,plain,
    ( ( leaf_occ @ sk__9 @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) )
    | ~ ( leaf @ ( sk__6 @ sk__9 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1838,zip_derived_cl4]) ).

thf(zip_derived_cl13_014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl713_015,plain,
    min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl7]) ).

thf(sos_37,axiom,
    ! [X113: $i,X114: $i,X115: $i] :
      ( ( ( occurrence_of @ X113 @ X115 )
        & ( leaf_occ @ X114 @ X113 ) )
     => ~ ? [X116: $i] : ( min_precedes @ X114 @ X116 @ X115 ) ) ).

thf(zip_derived_cl22,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_37]) ).

thf(zip_derived_cl762,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( leaf_occ @ sk__9 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl22]) ).

thf(zip_derived_cl765,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ~ ( leaf_occ @ sk__9 @ ( sk__3 @ X1 @ X0 @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl762]) ).

thf(zip_derived_cl1957,plain,
    ( ~ ( leaf @ ( sk__6 @ sk__9 ) @ tptp0 )
    | ~ ( min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1915,zip_derived_cl765]) ).

thf(zip_derived_cl713_016,plain,
    min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl7]) ).

thf(zip_derived_cl1973,plain,
    ~ ( leaf @ ( sk__6 @ sk__9 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl1957,zip_derived_cl713]) ).

thf(zip_derived_cl1974,plain,
    min_precedes @ ( sk__6 @ sk__9 ) @ ( sk_ @ tptp0 @ ( sk__6 @ sk__9 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl1973]) ).

thf(zip_derived_cl22_017,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_37]) ).

thf(zip_derived_cl2044,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( leaf_occ @ ( sk__6 @ sk__9 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1974,zip_derived_cl22]) ).

thf(zip_derived_cl2152,plain,
    ( ( occurrence_of @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp3 )
    | ~ ( occurrence_of @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl857,zip_derived_cl2044]) ).

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

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

thf(zip_derived_cl2176,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) @ tptp0 )
      | ( tptp3 = X0 )
      | ~ ( occurrence_of @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2152,zip_derived_cl0]) ).

thf(zip_derived_cl2195,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0 )
      | ~ ( occurrence_of @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ X0 )
      | ( tptp3 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl2176]) ).

thf(zip_derived_cl713_018,plain,
    min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl7]) ).

thf(zip_derived_cl2203,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ X0 )
      | ( tptp3 = X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2195,zip_derived_cl713]) ).

thf(zip_derived_cl55_019,plain,
    occurrence_of @ sk__10 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

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

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 @ X1 ) )
      | ~ ( leaf_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl0_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_02]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ( ( sk__4 @ X1 @ X0 )
        = X2 )
      | ~ ( occurrence_of @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl0]) ).

thf(zip_derived_cl500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X1 @ X2 @ X0 )
      | ( ( sk__4 @ ( sk__3 @ X2 @ X1 @ X0 ) @ X3 )
        = X0 )
      | ~ ( leaf_occ @ X3 @ ( sk__3 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl71]) ).

thf(zip_derived_cl713_022,plain,
    min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl7]) ).

thf(zip_derived_cl11_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__3 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl13_024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl37_025,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__6 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( next_subocc @ X2 @ ( sk__6 @ X2 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl37]) ).

thf(zip_derived_cl1421,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( next_subocc @ X1 @ ( sk__6 @ X1 ) @ tptp0 )
      | ~ ( arboreal @ X1 )
      | ( leaf_occ @ X1 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl709]) ).

thf(zip_derived_cl1430,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X1 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X1 )
      | ( next_subocc @ X1 @ ( sk__6 @ X1 ) @ tptp0 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1421]) ).

thf(zip_derived_cl1440,plain,
    ( ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 )
    | ~ ( arboreal @ ( sk__6 @ sk__9 ) )
    | ( leaf_occ @ ( sk__6 @ sk__9 ) @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl1430]) ).

thf(zip_derived_cl441_026,plain,
    arboreal @ ( sk__6 @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl436,zip_derived_cl46]) ).

thf(zip_derived_cl1441,plain,
    ( ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__6 @ sk__9 ) @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl441]) ).

thf(zip_derived_cl1794,plain,
    ( ( ( sk__4 @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) @ ( sk__6 @ sk__9 ) )
      = tptp0 )
    | ~ ( min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0 )
    | ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl500,zip_derived_cl1441]) ).

thf(zip_derived_cl713_027,plain,
    min_precedes @ sk__9 @ ( sk__6 @ sk__9 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl712,zip_derived_cl7]) ).

thf(zip_derived_cl1797,plain,
    ( ( ( sk__4 @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) @ ( sk__6 @ sk__9 ) )
      = tptp0 )
    | ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1794,zip_derived_cl713]) ).

thf(zip_derived_cl7_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl2964,plain,
    ( ( ( sk__4 @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) @ ( sk__6 @ sk__9 ) )
      = tptp0 )
    | ( min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1797,zip_derived_cl7]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl3968,plain,
    ( ( leaf @ ( sk__6 @ sk__9 ) @ tptp0 )
    | ( min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 )
    | ~ ( leaf_occ @ ( sk__6 @ sk__9 ) @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2964,zip_derived_cl19]) ).

thf(zip_derived_cl1973_029,plain,
    ~ ( leaf @ ( sk__6 @ sk__9 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl1957,zip_derived_cl713]) ).

thf(zip_derived_cl3999,plain,
    ( ( min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 )
    | ~ ( leaf_occ @ ( sk__6 @ sk__9 ) @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3968,zip_derived_cl1973]) ).

thf(zip_derived_cl1441_030,plain,
    ( ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__6 @ sk__9 ) @ ( sk__3 @ ( sk__6 @ sk__9 ) @ sk__9 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl441]) ).

thf(zip_derived_cl4012,plain,
    ( ( min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 )
    | ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3999,zip_derived_cl1441]) ).

thf(zip_derived_cl7_031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl4186,plain,
    min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0,
    inference(clc,[status(thm)],[zip_derived_cl4012,zip_derived_cl7]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ ( sk__6 @ X0 ) @ X1 @ tptp0 )
      | ( X1
        = ( sk__7 @ X0 ) )
      | ( X1
        = ( sk__8 @ X0 ) )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X2 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X2 )
      | ( leaf_occ @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl4209,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ sk__9 @ X0 )
      | ~ ( subactivity_occurrence @ sk__9 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( arboreal @ sk__9 )
      | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
        = ( sk__8 @ sk__9 ) )
      | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
        = ( sk__7 @ sk__9 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4186,zip_derived_cl41]) ).

thf(zip_derived_cl56_032,plain,
    arboreal @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4221,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ sk__9 @ X0 )
      | ~ ( subactivity_occurrence @ sk__9 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
        = ( sk__8 @ sk__9 ) )
      | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
        = ( sk__7 @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4209,zip_derived_cl56]) ).

thf(zip_derived_cl762_033,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( leaf_occ @ sk__9 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl22]) ).

thf(zip_derived_cl15465,plain,
    ! [X0: $i] :
      ( ( ( sk__6 @ ( sk__6 @ sk__9 ) )
        = ( sk__7 @ sk__9 ) )
      | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
        = ( sk__8 @ sk__9 ) )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ sk__9 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4221,zip_derived_cl762]) ).

thf(zip_derived_cl15474,plain,
    ( ~ ( subactivity_occurrence @ sk__9 @ sk__10 )
    | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
      = ( sk__8 @ sk__9 ) )
    | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
      = ( sk__7 @ sk__9 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl15465]) ).

thf(zip_derived_cl54_034,plain,
    subactivity_occurrence @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15476,plain,
    ( ( ( sk__6 @ ( sk__6 @ sk__9 ) )
      = ( sk__8 @ sk__9 ) )
    | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
      = ( sk__7 @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl15474,zip_derived_cl54]) ).

thf(zip_derived_cl54_035,plain,
    subactivity_occurrence @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_036,plain,
    occurrence_of @ sk__10 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__7 @ X0 ) @ tptp4 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl564,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__10 )
      | ~ ( subactivity_occurrence @ X0 @ sk__10 )
      | ~ ( arboreal @ X0 )
      | ( occurrence_of @ ( sk__7 @ X0 ) @ tptp4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl36]) ).

thf(zip_derived_cl565,plain,
    ( ( occurrence_of @ ( sk__7 @ sk__9 ) @ tptp4 )
    | ~ ( arboreal @ sk__9 )
    | ( leaf_occ @ sk__9 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl564]) ).

thf(zip_derived_cl56_037,plain,
    arboreal @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_038,plain,
    ~ ( leaf_occ @ sk__9 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl566,plain,
    occurrence_of @ ( sk__7 @ sk__9 ) @ tptp4,
    inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl56,zip_derived_cl53]) ).

thf(zip_derived_cl15477,plain,
    ( ( occurrence_of @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp4 )
    | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
      = ( sk__8 @ sk__9 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15476,zip_derived_cl566]) ).

thf(zip_derived_cl15691,plain,
    ( ( tptp3 = tptp4 )
    | ( ( sk__6 @ ( sk__6 @ sk__9 ) )
      = ( sk__8 @ sk__9 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2203,zip_derived_cl15477]) ).

thf(sos_56,axiom,
    tptp4 != tptp3 ).

thf(zip_derived_cl47,plain,
    tptp4 != tptp3,
    inference(cnf,[status(esa)],[sos_56]) ).

thf(zip_derived_cl15696,plain,
    ( ( sk__6 @ ( sk__6 @ sk__9 ) )
    = ( sk__8 @ sk__9 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl15691,zip_derived_cl47]) ).

thf(zip_derived_cl13_039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl54_040,plain,
    subactivity_occurrence @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_041,plain,
    occurrence_of @ sk__10 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_042,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl1046,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__10 )
      | ~ ( subactivity_occurrence @ X0 @ sk__10 )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl35]) ).

thf(zip_derived_cl5215,plain,
    ( ( min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) @ tptp0 )
    | ~ ( arboreal @ sk__9 )
    | ( leaf_occ @ sk__9 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl1046]) ).

thf(zip_derived_cl56_043,plain,
    arboreal @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_044,plain,
    ~ ( leaf_occ @ sk__9 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5216,plain,
    min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl5215,zip_derived_cl56,zip_derived_cl53]) ).

thf(zip_derived_cl12_045,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__3 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl709_046,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( next_subocc @ X2 @ ( sk__6 @ X2 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl37]) ).

thf(zip_derived_cl1422,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( next_subocc @ X0 @ ( sk__6 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ( leaf_occ @ X0 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl709]) ).

thf(zip_derived_cl1431,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X0 @ ( sk__3 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X0 )
      | ( next_subocc @ X0 @ ( sk__6 @ X0 ) @ tptp0 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1422]) ).

thf(zip_derived_cl32_047,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( arboreal @ X0 )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_46]) ).

thf(zip_derived_cl1442,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( next_subocc @ X0 @ ( sk__6 @ X0 ) @ tptp0 )
      | ( leaf_occ @ X0 @ ( sk__3 @ X1 @ X0 @ tptp0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1431,zip_derived_cl32]) ).

thf(zip_derived_cl5240,plain,
    ( ( leaf_occ @ ( sk__6 @ sk__9 ) @ ( sk__3 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) @ tptp0 ) )
    | ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5216,zip_derived_cl1442]) ).

thf(zip_derived_cl2044_048,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( leaf_occ @ ( sk__6 @ sk__9 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1974,zip_derived_cl22]) ).

thf(zip_derived_cl8620,plain,
    ( ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 )
    | ~ ( occurrence_of @ ( sk__3 @ ( sk__7 @ sk__9 ) @ ( sk__6 @ sk__9 ) @ tptp0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5240,zip_derived_cl2044]) ).

thf(zip_derived_cl8648,plain,
    ( ~ ( min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) @ tptp0 )
    | ( next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl8620]) ).

thf(zip_derived_cl5216_049,plain,
    min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl5215,zip_derived_cl56,zip_derived_cl53]) ).

thf(zip_derived_cl8656,plain,
    next_subocc @ ( sk__6 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl8648,zip_derived_cl5216]) ).

thf(zip_derived_cl5216_050,plain,
    min_precedes @ ( sk__6 @ sk__9 ) @ ( sk__7 @ sk__9 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl5215,zip_derived_cl56,zip_derived_cl53]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( min_precedes @ X1 @ X3 @ X2 )
      | ~ ( next_subocc @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl5226,plain,
    ! [X0: $i] :
      ( ~ ( next_subocc @ ( sk__6 @ sk__9 ) @ X0 @ tptp0 )
      | ~ ( min_precedes @ ( sk__7 @ sk__9 ) @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5216,zip_derived_cl8]) ).

thf(zip_derived_cl8664,plain,
    ~ ( min_precedes @ ( sk__7 @ sk__9 ) @ ( sk__6 @ ( sk__6 @ sk__9 ) ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl8656,zip_derived_cl5226]) ).

thf(zip_derived_cl15702,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5221,zip_derived_cl15696,zip_derived_cl8664]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PRO017+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fehwfame98 true
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 19:24:14 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.45/0.65  % Total configuration time : 435
% 0.45/0.65  % Estimated wc time : 1092
% 0.45/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.65/4.39  % Solved by fo/fo4.sh.
% 26.65/4.39  % done 1593 iterations in 3.584s
% 26.65/4.39  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.65/4.39  % SZS output start Refutation
% See solution above
% 26.65/4.39  
% 26.65/4.39  
% 26.65/4.39  % Terminating...
% 26.65/4.48  % Runner terminated.
% 26.65/4.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------