TSTP Solution File: PRO005+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO005+2 : 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.zoa8YN0jmi true

% Computer : n028.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 272.53s 39.55s
% Output   : Refutation 272.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   60
% Syntax   : Number of formulae    :  265 (  62 unt;  31 typ;   0 def)
%            Number of atoms       :  589 (  51 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 2209 ( 276   ~; 289   |;  41   &;1578   @)
%                                         (   6 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   46 (  46   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   33 (  31 usr;   7 con; 0-3 aty)
%            Number of variables   :  348 (   0   ^; 329   !;  19   ?; 348   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tptp3_type,type,
    tptp3: $i ).

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

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

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

thf(subactivity_type,type,
    subactivity: $i > $i > $o ).

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

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

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

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

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

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

thf(sk__16_type,type,
    sk__16: $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i > $i > $i ).

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

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

thf(atocc_type,type,
    atocc: $i > $i > $o ).

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

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

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

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

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

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

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

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

thf(sk__17_type,type,
    sk__17: $i ).

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

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

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

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

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

thf(sos_24,axiom,
    ! [X70: $i,X71: $i,X72: $i] :
      ( ( min_precedes @ X71 @ X72 @ X70 )
     => ? [X73: $i] :
          ( ( subactivity_occurrence @ X72 @ X73 )
          & ( subactivity_occurrence @ X71 @ X73 )
          & ( occurrence_of @ X73 @ X70 ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__8 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_24]) ).

thf(sos_32,axiom,
    ! [X95: $i] :
      ( ( occurrence_of @ X95 @ tptp0 )
     => ? [X96: $i,X97: $i] :
          ( ( next_subocc @ X96 @ X97 @ tptp0 )
          & ( leaf_occ @ X97 @ X95 )
          & ( ( occurrence_of @ X97 @ tptp2 )
            | ( occurrence_of @ X97 @ tptp3 ) )
          & ( root_occ @ X96 @ X95 )
          & ( occurrence_of @ X96 @ tptp4 ) ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__14 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(sos_02,axiom,
    ! [X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( ( occurrence_of @ X9 @ X10 )
        & ( root_occ @ X7 @ X9 )
        & ( root_occ @ X8 @ X9 ) )
     => ( X7 = X8 ) ) ).

thf(zip_derived_cl2,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_02]) ).

thf(zip_derived_cl597,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( root_occ @ X2 @ X0 )
      | ( X2
        = ( sk__14 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl2]) ).

thf(zip_derived_cl910,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( X1
        = ( sk__14 @ X0 ) )
      | ~ ( root_occ @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl597]) ).

thf(sos_30,axiom,
    ! [X91: $i,X92: $i] :
      ( ( ( occurrence_of @ X92 @ X91 )
        & ~ ( atomic @ X91 ) )
     => ? [X93: $i] :
          ( ( subactivity_occurrence @ X93 @ X92 )
          & ( root @ X93 @ X91 ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ( atomic @ X0 )
      | ~ ( occurrence_of @ X1 @ X0 )
      | ( root @ ( sk__13 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[sos_30]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( atomic @ X0 )
      | ~ ( occurrence_of @ X1 @ X0 )
      | ( subactivity_occurrence @ ( sk__13 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[sos_30]) ).

thf(goals,conjecture,
    ~ ? [X103: $i] : ( occurrence_of @ X103 @ tptp0 ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X103: $i] : ( occurrence_of @ X103 @ tptp0 ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl83,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_10,axiom,
    ! [X32: $i,X33: $i] :
      ( ( root_occ @ X32 @ X33 )
    <=> ? [X34: $i] :
          ( ( root @ X32 @ X34 )
          & ( subactivity_occurrence @ X32 @ X33 )
          & ( occurrence_of @ X33 @ X34 ) ) ) ).

thf(zip_derived_cl19,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_10]) ).

thf(zip_derived_cl662,plain,
    ! [X0: $i] :
      ( ~ ( subactivity_occurrence @ X0 @ sk__17 )
      | ~ ( root @ X0 @ tptp0 )
      | ( root_occ @ X0 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl19]) ).

thf(zip_derived_cl819,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ sk__17 @ X0 )
      | ( atomic @ X0 )
      | ( root_occ @ ( sk__13 @ sk__17 @ X0 ) @ sk__17 )
      | ~ ( root @ ( sk__13 @ sk__17 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl662]) ).

thf(zip_derived_cl5787,plain,
    ( ~ ( occurrence_of @ sk__17 @ tptp0 )
    | ( atomic @ tptp0 )
    | ( root_occ @ ( sk__13 @ sk__17 @ tptp0 ) @ sk__17 )
    | ( atomic @ tptp0 )
    | ~ ( occurrence_of @ sk__17 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl819]) ).

thf(zip_derived_cl83_001,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl69,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl69_002,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl83_003,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5788,plain,
    root_occ @ ( sk__13 @ sk__17 @ tptp0 ) @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl5787,zip_derived_cl83,zip_derived_cl69,zip_derived_cl69,zip_derived_cl83]) ).

thf(zip_derived_cl5806,plain,
    ( ( ( sk__13 @ sk__17 @ tptp0 )
      = ( sk__14 @ sk__17 ) )
    | ~ ( occurrence_of @ sk__17 @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl5788]) ).

thf(zip_derived_cl83_004,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5808,plain,
    ( ( sk__13 @ sk__17 @ tptp0 )
    = ( sk__14 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5806,zip_derived_cl83]) ).

thf(zip_derived_cl61_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( atomic @ X0 )
      | ~ ( occurrence_of @ X1 @ X0 )
      | ( subactivity_occurrence @ ( sk__13 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[sos_30]) ).

thf(zip_derived_cl5818,plain,
    ( ( subactivity_occurrence @ ( sk__14 @ sk__17 ) @ sk__17 )
    | ~ ( occurrence_of @ sk__17 @ tptp0 )
    | ( atomic @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5808,zip_derived_cl61]) ).

thf(zip_derived_cl83_006,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69_007,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl5830,plain,
    subactivity_occurrence @ ( sk__14 @ sk__17 ) @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl5818,zip_derived_cl83,zip_derived_cl69]) ).

thf(sos_46,axiom,
    ! [X100: $i,X101: $i] :
      ( ( ( occurrence_of @ X101 @ tptp0 )
        & ( subactivity_occurrence @ X100 @ X101 )
        & ( arboreal @ X100 )
        & ~ ( leaf_occ @ X100 @ X101 ) )
     => ? [X102: $i] :
          ( ( next_subocc @ X100 @ X102 @ tptp0 )
          & ( occurrence_of @ X102 @ tptp1 ) ) ) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__16 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_46]) ).

thf(sos_04,axiom,
    ! [X15: $i,X16: $i,X17: $i] :
      ( ( next_subocc @ X15 @ X16 @ X17 )
    <=> ( ( min_precedes @ X15 @ X16 @ X17 )
        & ~ ? [X18: $i] :
              ( ( min_precedes @ X18 @ X16 @ X17 )
              & ( min_precedes @ X15 @ X18 @ X17 ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_04]) ).

thf(zip_derived_cl499,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X0 @ X1 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ X0 @ ( sk__16 @ X0 ) @ tptp0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl4]) ).

thf(zip_derived_cl5892,plain,
    ( ( min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp0 )
    | ~ ( arboreal @ ( sk__14 @ sk__17 ) )
    | ~ ( occurrence_of @ sk__17 @ tptp0 )
    | ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5830,zip_derived_cl499]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( next_subocc @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(sos_05,axiom,
    ! [X19: $i,X20: $i,X21: $i] :
      ( ( next_subocc @ X19 @ X20 @ X21 )
     => ( ( arboreal @ X19 )
        & ( arboreal @ X20 ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( arboreal @ X0 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_05]) ).

thf(zip_derived_cl497,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( arboreal @ ( sk__14 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl8]) ).

thf(zip_derived_cl83_008,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl549,plain,
    arboreal @ ( sk__14 @ sk__17 ),
    inference('sup+',[status(thm)],[zip_derived_cl497,zip_derived_cl83]) ).

thf(zip_derived_cl83_009,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5920,plain,
    ( ( min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5892,zip_derived_cl549,zip_derived_cl83]) ).

thf(sos_11,axiom,
    ! [X35: $i,X36: $i] :
      ( ( leaf_occ @ X35 @ X36 )
    <=> ? [X37: $i] :
          ( ( leaf @ X35 @ X37 )
          & ( subactivity_occurrence @ X35 @ X36 )
          & ( occurrence_of @ X36 @ X37 ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__2 @ X0 @ X1 ) )
      | ~ ( leaf_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(zip_derived_cl83_010,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_22,axiom,
    ! [X64: $i,X65: $i,X66: $i] :
      ( ( ( occurrence_of @ X64 @ X65 )
        & ( occurrence_of @ X64 @ X66 ) )
     => ( X65 = X66 ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl588,plain,
    ! [X0: $i] :
      ( ( tptp0 = X0 )
      | ~ ( occurrence_of @ sk__17 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl43]) ).

thf(zip_derived_cl654,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ( tptp0
        = ( sk__2 @ sk__17 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl588]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__2 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(sos_14,axiom,
    ! [X42: $i,X43: $i] :
      ( ( leaf @ X42 @ X43 )
    <=> ( ( ( root @ X42 @ X43 )
          | ? [X44: $i] : ( min_precedes @ X44 @ X42 @ X43 ) )
        & ~ ? [X45: $i] : ( min_precedes @ X42 @ X45 @ X43 ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( leaf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_14]) ).

thf(zip_derived_cl525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ~ ( min_precedes @ X0 @ X2 @ ( sk__2 @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl28]) ).

thf(zip_derived_cl664,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ~ ( leaf_occ @ X0 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl525]) ).

thf(zip_derived_cl667,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl664]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ X1 )
      | ( min_precedes @ X0 @ ( sk__3 @ X1 @ X0 ) @ X1 )
      | ~ ( root @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_14]) ).

thf(sos_23,axiom,
    ! [X67: $i,X68: $i] :
      ( ( ( leaf @ X67 @ X68 )
        & ~ ( atomic @ X68 ) )
     => ? [X69: $i] :
          ( ( leaf_occ @ X67 @ X69 )
          & ( occurrence_of @ X69 @ X68 ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X0 @ ( sk__7 @ X1 @ X0 ) )
      | ( atomic @ X1 )
      | ~ ( leaf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_23]) ).

thf(zip_derived_cl540,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root @ X1 @ X0 )
      | ( min_precedes @ X1 @ ( sk__3 @ X0 @ X1 ) @ X0 )
      | ( atomic @ X0 )
      | ( leaf_occ @ X1 @ ( sk__7 @ X0 @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl44]) ).

thf(zip_derived_cl2351,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ( leaf_occ @ X0 @ ( sk__7 @ tptp0 @ X0 ) )
      | ( atomic @ tptp0 )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl667,zip_derived_cl540]) ).

thf(zip_derived_cl69_011,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl2358,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ( leaf_occ @ X0 @ ( sk__7 @ tptp0 @ X0 ) )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2351,zip_derived_cl69]) ).

thf(zip_derived_cl667_012,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl664]) ).

thf(zip_derived_cl30_013,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ X1 )
      | ( min_precedes @ X0 @ ( sk__3 @ X1 @ X0 ) @ X1 )
      | ~ ( root @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_14]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__7 @ X0 @ X1 ) @ X0 )
      | ( atomic @ X0 )
      | ~ ( leaf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_23]) ).

thf(zip_derived_cl541,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root @ X1 @ X0 )
      | ( min_precedes @ X1 @ ( sk__3 @ X0 @ X1 ) @ X0 )
      | ( atomic @ X0 )
      | ( occurrence_of @ ( sk__7 @ X0 @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl45]) ).

thf(zip_derived_cl2539,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ( occurrence_of @ ( sk__7 @ tptp0 @ X0 ) @ tptp0 )
      | ( atomic @ tptp0 )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl667,zip_derived_cl541]) ).

thf(zip_derived_cl69_014,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl2546,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ( occurrence_of @ ( sk__7 @ tptp0 @ X0 ) @ tptp0 )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2539,zip_derived_cl69]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__15 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(sos_03,axiom,
    ! [X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( ( occurrence_of @ X13 @ X14 )
        & ~ ( atomic @ X14 )
        & ( leaf_occ @ X11 @ X13 )
        & ( leaf_occ @ X12 @ X13 ) )
     => ( X11 = X12 ) ) ).

thf(zip_derived_cl3,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_03]) ).

thf(zip_derived_cl644,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( atomic @ X1 )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( leaf_occ @ X2 @ X0 )
      | ( X2
        = ( sk__15 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl3]) ).

thf(zip_derived_cl3070,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ( X1
        = ( sk__15 @ ( sk__7 @ tptp0 @ X0 ) ) )
      | ~ ( leaf_occ @ X1 @ ( sk__7 @ tptp0 @ X0 ) )
      | ( atomic @ tptp0 )
      | ~ ( occurrence_of @ ( sk__7 @ tptp0 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2546,zip_derived_cl644]) ).

thf(zip_derived_cl69_015,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl3084,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ( X1
        = ( sk__15 @ ( sk__7 @ tptp0 @ X0 ) ) )
      | ~ ( leaf_occ @ X1 @ ( sk__7 @ tptp0 @ X0 ) )
      | ~ ( occurrence_of @ ( sk__7 @ tptp0 @ X0 ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3070,zip_derived_cl69]) ).

thf(zip_derived_cl2546_016,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ( occurrence_of @ ( sk__7 @ tptp0 @ X0 ) @ tptp0 )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2539,zip_derived_cl69]) ).

thf(zip_derived_cl23059,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leaf_occ @ X1 @ ( sk__7 @ tptp0 @ X0 ) )
      | ( X1
        = ( sk__15 @ ( sk__7 @ tptp0 @ X0 ) ) )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3084,zip_derived_cl2546]) ).

thf(zip_derived_cl23075,plain,
    ! [X0: $i] :
      ( ~ ( root @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ~ ( root @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ( X0
        = ( sk__15 @ ( sk__7 @ tptp0 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2358,zip_derived_cl23059]) ).

thf(zip_derived_cl23083,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__15 @ ( sk__7 @ tptp0 @ X0 ) ) )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23075]) ).

thf(zip_derived_cl67_017,plain,
    ! [X0: $i] :
      ( ( next_subocc @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl4_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_04]) ).

thf(zip_derived_cl495,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( min_precedes @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) @ tptp0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).

thf(sos_07,axiom,
    ! [X25: $i,X26: $i,X27: $i] :
      ( ( min_precedes @ X25 @ X26 @ X27 )
     => ~ ( root @ X26 @ X27 ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( root @ X0 @ X1 )
      | ~ ( min_precedes @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_07]) ).

thf(zip_derived_cl693,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( root @ ( sk__15 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl11]) ).

thf(zip_derived_cl23093,plain,
    ! [X0: $i] :
      ( ~ ( root @ X0 @ tptp0 )
      | ~ ( root @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ~ ( occurrence_of @ ( sk__7 @ tptp0 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23083,zip_derived_cl693]) ).

thf(zip_derived_cl23175,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__7 @ tptp0 @ X0 ) @ tptp0 )
      | ~ ( leaf_occ @ X0 @ sk__17 )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23093]) ).

thf(zip_derived_cl2546_019,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__17 )
      | ( occurrence_of @ ( sk__7 @ tptp0 @ X0 ) @ tptp0 )
      | ~ ( root @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2539,zip_derived_cl69]) ).

thf(zip_derived_cl23265,plain,
    ! [X0: $i] :
      ( ~ ( root @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl23175,zip_derived_cl2546]) ).

thf(zip_derived_cl5808_020,plain,
    ( ( sk__13 @ sk__17 @ tptp0 )
    = ( sk__14 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5806,zip_derived_cl83]) ).

thf(zip_derived_cl60_021,plain,
    ! [X0: $i,X1: $i] :
      ( ( atomic @ X0 )
      | ~ ( occurrence_of @ X1 @ X0 )
      | ( root @ ( sk__13 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[sos_30]) ).

thf(zip_derived_cl5817,plain,
    ( ( root @ ( sk__14 @ sk__17 ) @ tptp0 )
    | ~ ( occurrence_of @ sk__17 @ tptp0 )
    | ( atomic @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5808,zip_derived_cl60]) ).

thf(zip_derived_cl83_022,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69_023,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl5829,plain,
    root @ ( sk__14 @ sk__17 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl5817,zip_derived_cl83,zip_derived_cl69]) ).

thf(zip_derived_cl23268,plain,
    ~ ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 ),
    inference('sup+',[status(thm)],[zip_derived_cl23265,zip_derived_cl5829]) ).

thf(zip_derived_cl23275,plain,
    min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl5920,zip_derived_cl23268]) ).

thf(sos_20,axiom,
    ! [X56: $i,X57: $i,X58: $i] :
      ( ( ( occurrence_of @ X56 @ X58 )
        & ( root_occ @ X57 @ X56 ) )
     => ~ ? [X59: $i] : ( min_precedes @ X59 @ X57 @ X58 ) ) ).

thf(zip_derived_cl41,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_20]) ).

thf(zip_derived_cl23478,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( root_occ @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23275,zip_derived_cl41]) ).

thf(sos_45,axiom,
    ! [X98: $i,X99: $i] :
      ( ( ( occurrence_of @ X99 @ tptp0 )
        & ( subactivity_occurrence @ X98 @ X99 )
        & ( arboreal @ X98 )
        & ~ ( leaf_occ @ X98 @ X99 ) )
     => ( root_occ @ X98 @ X99 ) ) ).

thf(zip_derived_cl80,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_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__8 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_24]) ).

thf(zip_derived_cl875,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( root_occ @ X1 @ ( sk__8 @ X2 @ X1 @ X0 ) )
      | ( leaf_occ @ X1 @ ( sk__8 @ X2 @ X1 @ X0 ) )
      | ~ ( occurrence_of @ ( sk__8 @ X2 @ X1 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X1 )
      | ~ ( min_precedes @ X1 @ X2 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl47]) ).

thf(zip_derived_cl48_024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__8 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_24]) ).

thf(zip_derived_cl21_025,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__2 @ X0 @ X1 ) )
      | ~ ( leaf_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(zip_derived_cl43_026,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl650,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ( ( sk__2 @ X1 @ X0 )
        = X2 )
      | ~ ( occurrence_of @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl43]) ).

thf(zip_derived_cl775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X1 @ X2 @ X0 )
      | ( ( sk__2 @ ( sk__8 @ X2 @ X1 @ X0 ) @ X3 )
        = X0 )
      | ~ ( leaf_occ @ X3 @ ( sk__8 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl650]) ).

thf(zip_derived_cl525_027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ~ ( min_precedes @ X0 @ X2 @ ( sk__2 @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl28]) ).

thf(zip_derived_cl4785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( min_precedes @ X1 @ X4 @ X0 )
      | ~ ( leaf_occ @ X1 @ ( sk__8 @ X3 @ X2 @ X0 ) )
      | ~ ( min_precedes @ X2 @ X3 @ X0 )
      | ~ ( leaf_occ @ X1 @ ( sk__8 @ X3 @ X2 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl775,zip_derived_cl525]) ).

thf(zip_derived_cl4811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( min_precedes @ X2 @ X3 @ X0 )
      | ~ ( leaf_occ @ X1 @ ( sk__8 @ X3 @ X2 @ X0 ) )
      | ~ ( min_precedes @ X1 @ X4 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4785]) ).

thf(zip_derived_cl9264,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X1 @ X2 @ X0 )
      | ~ ( arboreal @ X1 )
      | ~ ( occurrence_of @ ( sk__8 @ X2 @ X1 @ X0 ) @ tptp0 )
      | ( root_occ @ X1 @ ( sk__8 @ X2 @ X1 @ X0 ) )
      | ~ ( min_precedes @ X1 @ X3 @ X0 )
      | ~ ( min_precedes @ X1 @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl875,zip_derived_cl4811]) ).

thf(zip_derived_cl9274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X1 @ X3 @ X0 )
      | ( root_occ @ X1 @ ( sk__8 @ X2 @ X1 @ X0 ) )
      | ~ ( occurrence_of @ ( sk__8 @ X2 @ X1 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X1 )
      | ~ ( min_precedes @ X1 @ X2 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9264]) ).

thf(zip_derived_cl258092,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X2 @ X1 @ X0 )
      | ( root_occ @ X2 @ ( sk__8 @ X1 @ X2 @ X0 ) )
      | ~ ( occurrence_of @ ( sk__8 @ X1 @ X2 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X2 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl9274]) ).

thf(sos_26,axiom,
    ! [X77: $i,X78: $i,X79: $i] :
      ( ( min_precedes @ X78 @ X79 @ X77 )
     => ? [X80: $i,X81: $i] :
          ( ( atocc @ X79 @ X81 )
          & ( atocc @ X78 @ X80 )
          & ( subactivity @ X81 @ X77 )
          & ( subactivity @ X80 @ X77 ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( atocc @ X0 @ ( sk__10 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_26]) ).

thf(sos_15,axiom,
    ! [X46: $i,X47: $i] :
      ( ( atocc @ X46 @ X47 )
    <=> ? [X48: $i] :
          ( ( occurrence_of @ X46 @ X48 )
          & ( atomic @ X48 )
          & ( subactivity @ X47 @ X48 ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( atocc @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X1 @ X2 @ X0 )
      | ( occurrence_of @ X1 @ ( sk__5 @ ( sk__10 @ X2 @ X1 @ X0 ) @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl31]) ).

thf(sos_13,axiom,
    ! [X40: $i,X41: $i] :
      ( ( occurrence_of @ X40 @ X41 )
     => ( ( arboreal @ X40 )
      <=> ( atomic @ X41 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_13]) ).

thf(zip_derived_cl1344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X2 @ X1 )
      | ( arboreal @ X0 )
      | ~ ( atomic @ ( sk__5 @ ( sk__10 @ X2 @ X0 @ X1 ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl25]) ).

thf(zip_derived_cl51_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( atocc @ X0 @ ( sk__10 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_26]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ( atomic @ ( sk__5 @ X0 @ X1 ) )
      | ~ ( atocc @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X1 @ X2 @ X0 )
      | ( atomic @ ( sk__5 @ ( sk__10 @ X2 @ X1 @ X0 ) @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl32]) ).

thf(zip_derived_cl13046,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( arboreal @ X0 )
      | ~ ( min_precedes @ X0 @ X2 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1344,zip_derived_cl509]) ).

thf(zip_derived_cl258093,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ ( sk__8 @ X1 @ X2 @ X0 ) @ tptp0 )
      | ( root_occ @ X2 @ ( sk__8 @ X1 @ X2 @ X0 ) )
      | ~ ( min_precedes @ X2 @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl258092,zip_derived_cl13046]) ).

thf(zip_derived_cl258218,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ ( sk__8 @ X1 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 ) @ tptp0 )
      | ~ ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X1 @ X0 )
      | ~ ( occurrence_of @ ( sk__8 @ X1 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 ) @ tptp0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl23478,zip_derived_cl258093]) ).

thf(zip_derived_cl258235,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X1 @ X0 )
      | ~ ( occurrence_of @ ( sk__8 @ X1 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 ) @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl258218]) ).

thf(zip_derived_cl258974,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 @ tptp0 )
      | ~ ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl258235]) ).

thf(zip_derived_cl258975,plain,
    ! [X0: $i] :
      ~ ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 @ tptp0 ),
    inference(simplify,[status(thm)],[zip_derived_cl258974]) ).

thf(zip_derived_cl5920_029,plain,
    ( ( min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5892,zip_derived_cl549,zip_derived_cl83]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leaf @ X0 @ X1 )
      | ( min_precedes @ X0 @ ( sk__3 @ X1 @ X0 ) @ X1 )
      | ~ ( min_precedes @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_14]) ).

thf(zip_derived_cl44_030,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X0 @ ( sk__7 @ X1 @ X0 ) )
      | ( atomic @ X1 )
      | ~ ( leaf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_23]) ).

thf(zip_derived_cl533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X2 @ X1 @ X0 )
      | ( min_precedes @ X1 @ ( sk__3 @ X0 @ X1 ) @ X0 )
      | ( atomic @ X0 )
      | ( leaf_occ @ X1 @ ( sk__7 @ X0 @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl44]) ).

thf(zip_derived_cl8753,plain,
    ( ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 )
    | ( leaf_occ @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) )
    | ( atomic @ tptp0 )
    | ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__3 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5920,zip_derived_cl533]) ).

thf(zip_derived_cl69_031,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl8792,plain,
    ( ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 )
    | ( leaf_occ @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) )
    | ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__3 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8753,zip_derived_cl69]) ).

thf(zip_derived_cl23268_032,plain,
    ~ ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 ),
    inference('sup+',[status(thm)],[zip_derived_cl23265,zip_derived_cl5829]) ).

thf(zip_derived_cl245378,plain,
    ( ( leaf_occ @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) )
    | ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__3 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8792,zip_derived_cl23268]) ).

thf(zip_derived_cl258994,plain,
    leaf_occ @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl258975,zip_derived_cl245378]) ).

thf(zip_derived_cl258975_033,plain,
    ! [X0: $i] :
      ~ ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 @ tptp0 ),
    inference(simplify,[status(thm)],[zip_derived_cl258974]) ).

thf(zip_derived_cl5920_034,plain,
    ( ( min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5892,zip_derived_cl549,zip_derived_cl83]) ).

thf(zip_derived_cl29_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leaf @ X0 @ X1 )
      | ( min_precedes @ X0 @ ( sk__3 @ X1 @ X0 ) @ X1 )
      | ~ ( min_precedes @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_14]) ).

thf(zip_derived_cl45_036,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__7 @ X0 @ X1 ) @ X0 )
      | ( atomic @ X0 )
      | ~ ( leaf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_23]) ).

thf(zip_derived_cl534,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X2 @ X1 @ X0 )
      | ( min_precedes @ X1 @ ( sk__3 @ X0 @ X1 ) @ X0 )
      | ( atomic @ X0 )
      | ( occurrence_of @ ( sk__7 @ X0 @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl45]) ).

thf(zip_derived_cl8754,plain,
    ( ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 )
    | ( occurrence_of @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 )
    | ( atomic @ tptp0 )
    | ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__3 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5920,zip_derived_cl534]) ).

thf(zip_derived_cl69_037,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl8793,plain,
    ( ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 )
    | ( occurrence_of @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 )
    | ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__3 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8754,zip_derived_cl69]) ).

thf(zip_derived_cl23268_038,plain,
    ~ ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 ),
    inference('sup+',[status(thm)],[zip_derived_cl23265,zip_derived_cl5829]) ).

thf(zip_derived_cl246409,plain,
    ( ( occurrence_of @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 )
    | ( min_precedes @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__3 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8793,zip_derived_cl23268]) ).

thf(zip_derived_cl258995,plain,
    occurrence_of @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0,
    inference('sup+',[status(thm)],[zip_derived_cl258975,zip_derived_cl246409]) ).

thf(zip_derived_cl644_039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( atomic @ X1 )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( leaf_occ @ X2 @ X0 )
      | ( X2
        = ( sk__15 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl3]) ).

thf(zip_derived_cl259067,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__15 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ) )
      | ~ ( leaf_occ @ X0 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) )
      | ( atomic @ tptp0 )
      | ~ ( occurrence_of @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl258995,zip_derived_cl644]) ).

thf(zip_derived_cl69_040,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl258995_041,plain,
    occurrence_of @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0,
    inference('sup+',[status(thm)],[zip_derived_cl258975,zip_derived_cl246409]) ).

thf(zip_derived_cl259164,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__15 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ) )
      | ~ ( leaf_occ @ X0 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl259067,zip_derived_cl69,zip_derived_cl258995]) ).

thf(zip_derived_cl268747,plain,
    ( ( sk__16 @ ( sk__14 @ sk__17 ) )
    = ( sk__15 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl258994,zip_derived_cl259164]) ).

thf(zip_derived_cl495_042,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( min_precedes @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) @ tptp0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).

thf(sos_21,axiom,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( ( occurrence_of @ X60 @ X62 )
        & ( leaf_occ @ X61 @ X60 ) )
     => ~ ? [X63: $i] : ( min_precedes @ X61 @ X63 @ X62 ) ) ).

thf(zip_derived_cl42,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_21]) ).

thf(zip_derived_cl692,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( leaf_occ @ ( sk__14 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl42]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__16 @ 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_cl5830_043,plain,
    subactivity_occurrence @ ( sk__14 @ sk__17 ) @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl5818,zip_derived_cl83,zip_derived_cl69]) ).

thf(zip_derived_cl5901,plain,
    ( ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 )
    | ~ ( occurrence_of @ sk__17 @ tptp0 )
    | ~ ( arboreal @ ( sk__14 @ sk__17 ) )
    | ( occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl5830]) ).

thf(zip_derived_cl83_044,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl549_045,plain,
    arboreal @ ( sk__14 @ sk__17 ),
    inference('sup+',[status(thm)],[zip_derived_cl497,zip_derived_cl83]) ).

thf(zip_derived_cl5909,plain,
    ( ( leaf_occ @ ( sk__14 @ sk__17 ) @ sk__17 )
    | ( occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5901,zip_derived_cl83,zip_derived_cl549]) ).

thf(zip_derived_cl5995,plain,
    ( ~ ( occurrence_of @ sk__17 @ tptp0 )
    | ~ ( occurrence_of @ sk__17 @ tptp0 )
    | ( occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl692,zip_derived_cl5909]) ).

thf(zip_derived_cl83_046,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83_047,plain,
    occurrence_of @ sk__17 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6000,plain,
    occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl5995,zip_derived_cl83,zip_derived_cl83]) ).

thf(sos_29,axiom,
    ! [X89: $i,X90: $i] :
      ( ( occurrence_of @ X90 @ X89 )
     => ( ( activity @ X89 )
        & ( activity_occurrence @ X90 ) ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity @ X0 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_29]) ).

thf(sos_31,axiom,
    ! [X94: $i] :
      ( ( activity @ X94 )
     => ( subactivity @ X94 @ X94 ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ( subactivity @ X0 @ X0 )
      | ~ ( activity @ X0 ) ),
    inference(cnf,[status(esa)],[sos_31]) ).

thf(zip_derived_cl475,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X1 @ X0 )
      | ( subactivity @ X0 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl58,zip_derived_cl62]) ).

thf(zip_derived_cl6017,plain,
    subactivity @ tptp1 @ tptp1,
    inference('sup-',[status(thm)],[zip_derived_cl6000,zip_derived_cl475]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( atocc @ X0 @ X1 )
      | ~ ( subactivity @ X1 @ X2 )
      | ~ ( atomic @ X2 )
      | ~ ( occurrence_of @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl31_048,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( atocc @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( atomic @ X2 )
      | ~ ( subactivity @ X0 @ X2 )
      | ( occurrence_of @ X1 @ ( sk__5 @ X0 @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl31]) ).

thf(zip_derived_cl6039,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__5 @ tptp1 @ X0 ) )
      | ~ ( atomic @ tptp1 )
      | ~ ( occurrence_of @ X0 @ tptp1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6017,zip_derived_cl503]) ).

thf(sos_38,axiom,
    atomic @ tptp1 ).

thf(zip_derived_cl73,plain,
    atomic @ tptp1,
    inference(cnf,[status(esa)],[sos_38]) ).

thf(zip_derived_cl6040,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__5 @ tptp1 @ X0 ) )
      | ~ ( occurrence_of @ X0 @ tptp1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6039,zip_derived_cl73]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__15 @ X0 ) @ tptp3 )
      | ( occurrence_of @ ( sk__15 @ X0 ) @ tptp2 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl66_049,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__15 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(sos_19,axiom,
    ! [X54: $i,X55: $i] :
      ( ( subactivity_occurrence @ X54 @ X55 )
     => ( ( activity_occurrence @ X54 )
        & ( activity_occurrence @ X55 ) ) ) ).

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

thf(sos_18,axiom,
    ! [X52: $i] :
      ( ( activity_occurrence @ X52 )
     => ? [X53: $i] :
          ( ( occurrence_of @ X52 @ X53 )
          & ( activity @ X53 ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__6 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl481,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( occurrence_of @ X0 @ ( sk__6 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl39,zip_derived_cl37]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ( subactivity_occurrence @ X0 @ X1 )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(zip_derived_cl603,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X1 @ ( sk__6 @ X1 ) )
      | ~ ( leaf_occ @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl20]) ).

thf(zip_derived_cl645,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( occurrence_of @ ( sk__15 @ X0 ) @ ( sk__6 @ ( sk__15 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl603]) ).

thf(zip_derived_cl43_050,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl1292,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( ( sk__6 @ ( sk__15 @ X0 ) )
        = X1 )
      | ~ ( occurrence_of @ ( sk__15 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl43]) ).

thf(zip_derived_cl1316,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( occurrence_of @ ( sk__15 @ X0 ) @ tptp3 )
      | ( ( sk__6 @ ( sk__15 @ X0 ) )
        = tptp2 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl1292]) ).

thf(zip_derived_cl1318,plain,
    ! [X0: $i] :
      ( ( ( sk__6 @ ( sk__15 @ X0 ) )
        = tptp2 )
      | ( occurrence_of @ ( sk__15 @ X0 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1316]) ).

thf(zip_derived_cl43_051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl1535,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ( ( sk__6 @ ( sk__15 @ X0 ) )
        = tptp2 )
      | ( tptp3 = X1 )
      | ~ ( occurrence_of @ ( sk__15 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1318,zip_derived_cl43]) ).

thf(zip_derived_cl6141,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__15 @ X0 ) @ tptp1 )
      | ( tptp3
        = ( sk__5 @ tptp1 @ ( sk__15 @ X0 ) ) )
      | ( ( sk__6 @ ( sk__15 @ X0 ) )
        = tptp2 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6040,zip_derived_cl1535]) ).

thf(zip_derived_cl268912,plain,
    ( ( tptp3
      = ( sk__5 @ tptp1 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) )
    | ~ ( occurrence_of @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0 )
    | ( ( sk__6 @ ( sk__15 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ) )
      = tptp2 )
    | ~ ( occurrence_of @ ( sk__15 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ) @ tptp1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl268747,zip_derived_cl6141]) ).

thf(zip_derived_cl6000_052,plain,
    occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl5995,zip_derived_cl83,zip_derived_cl83]) ).

thf(zip_derived_cl43_053,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl6019,plain,
    ! [X0: $i] :
      ( ( tptp1 = X0 )
      | ~ ( occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6000,zip_derived_cl43]) ).

thf(zip_derived_cl6040_054,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__5 @ tptp1 @ X0 ) )
      | ~ ( occurrence_of @ X0 @ tptp1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6039,zip_derived_cl73]) ).

thf(zip_derived_cl6161,plain,
    ( ( tptp1
      = ( sk__5 @ tptp1 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) )
    | ~ ( occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6019,zip_derived_cl6040]) ).

thf(zip_derived_cl6000_055,plain,
    occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl5995,zip_derived_cl83,zip_derived_cl83]) ).

thf(zip_derived_cl6163,plain,
    ( tptp1
    = ( sk__5 @ tptp1 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6161,zip_derived_cl6000]) ).

thf(zip_derived_cl258995_056,plain,
    occurrence_of @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) @ tptp0,
    inference('sup+',[status(thm)],[zip_derived_cl258975,zip_derived_cl246409]) ).

thf(zip_derived_cl268747_057,plain,
    ( ( sk__16 @ ( sk__14 @ sk__17 ) )
    = ( sk__15 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl258994,zip_derived_cl259164]) ).

thf(zip_derived_cl6000_058,plain,
    occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl5995,zip_derived_cl83,zip_derived_cl83]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_29]) ).

thf(zip_derived_cl37_059,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__6 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl485,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ( occurrence_of @ X0 @ ( sk__6 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl37]) ).

thf(zip_derived_cl6020,plain,
    occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ ( sk__6 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6000,zip_derived_cl485]) ).

thf(zip_derived_cl6019_060,plain,
    ! [X0: $i] :
      ( ( tptp1 = X0 )
      | ~ ( occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6000,zip_derived_cl43]) ).

thf(zip_derived_cl6507,plain,
    ( tptp1
    = ( sk__6 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6020,zip_derived_cl6019]) ).

thf(zip_derived_cl268747_061,plain,
    ( ( sk__16 @ ( sk__14 @ sk__17 ) )
    = ( sk__15 @ ( sk__7 @ tptp0 @ ( sk__16 @ ( sk__14 @ sk__17 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl258994,zip_derived_cl259164]) ).

thf(zip_derived_cl6000_062,plain,
    occurrence_of @ ( sk__16 @ ( sk__14 @ sk__17 ) ) @ tptp1,
    inference(demod,[status(thm)],[zip_derived_cl5995,zip_derived_cl83,zip_derived_cl83]) ).

thf(zip_derived_cl269572,plain,
    ( ( tptp3 = tptp1 )
    | ( tptp1 = tptp2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl268912,zip_derived_cl6163,zip_derived_cl258995,zip_derived_cl268747,zip_derived_cl6507,zip_derived_cl268747,zip_derived_cl6000]) ).

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

thf(zip_derived_cl78,plain,
    tptp1 != tptp2,
    inference(cnf,[status(esa)],[sos_43]) ).

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

thf(zip_derived_cl77,plain,
    tptp1 != tptp3,
    inference(cnf,[status(esa)],[sos_42]) ).

thf(zip_derived_cl269573,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl269572,zip_derived_cl78,zip_derived_cl77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : PRO005+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zoa8YN0jmi true
% 0.12/0.34  % Computer : n028.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 19:48:55 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 272.53/39.55  % Solved by fo/fo3_bce.sh.
% 272.53/39.55  % BCE start: 84
% 272.53/39.55  % BCE eliminated: 0
% 272.53/39.55  % PE start: 84
% 272.53/39.55  logic: eq
% 272.53/39.55  % PE eliminated: -24
% 272.53/39.55  % done 22297 iterations in 38.792s
% 272.53/39.55  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 272.53/39.55  % SZS output start Refutation
% See solution above
% 272.53/39.55  
% 272.53/39.55  
% 272.53/39.55  % Terminating...
% 272.85/39.65  % Runner terminated.
% 272.85/39.66  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------