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LEO-II---2.3.1.TMO-Non.f

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : PRO017+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:36:33 AM UTC 2026

% Result   : Timeout 296.92s 49.79s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  549 ( 203 unt;   0 typ;   0 def)
%            Number of atoms       : 4926 (1416 equ;   0 cnn)
%            Maximal formula atoms :   14 (   8 avg)
%            Number of connectives : 10333 (2952   ~;1694   |; 152   &;5464   @)
%                                         (  12 <=>;  59  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   38 (  35 usr;   9 con; 0-3 aty)
%            Number of variables   : 1623 (   0   ^;1571   !;  52   ?;1623   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_activity,type,
    activity: $i > $o ).

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

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

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

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

thf(tp_earlier,type,
    earlier: $i > $i > $o ).

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

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

thf(tp_legal,type,
    legal: $i > $o ).

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

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

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

thf(tp_precedes,type,
    precedes: $i > $i > $o ).

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

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

thf(tp_sK10_SY138,type,
    sK10_SY138: $i > $i > $i > $i ).

thf(tp_sK11_SY101,type,
    sK11_SY101: $i > $i > $i ).

thf(tp_sK12_SY172,type,
    sK12_SY172: $i > $i > $i ).

thf(tp_sK13_SY175,type,
    sK13_SY175: $i > $i > $i ).

thf(tp_sK1_X101,type,
    sK1_X101: $i ).

thf(tp_sK2_SY72,type,
    sK2_SY72: $i ).

thf(tp_sK3_SY171,type,
    sK3_SY171: $i > $i > $i > $i ).

thf(tp_sK4_SY132,type,
    sK4_SY132: $i > $i > $i ).

thf(tp_sK5_SY148,type,
    sK5_SY148: $i > $i > $i ).

thf(tp_sK6_SY159,type,
    sK6_SY159: $i > $i > $i ).

thf(tp_sK7_SY135,type,
    sK7_SY135: $i > $i > $i ).

thf(tp_sK8_SY138,type,
    sK8_SY138: $i > $i > $i ).

thf(tp_sK9_SY164,type,
    sK9_SY164: $i > $i > $i > $i ).

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

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

thf(tp_tptp0,type,
    tptp0: $i ).

thf(tp_tptp1,type,
    tptp1: $i ).

thf(tp_tptp2,type,
    tptp2: $i ).

thf(tp_tptp3,type,
    tptp3: $i ).

thf(tp_tptp4,type,
    tptp4: $i ).

thf(1,axiom,
    tptp2 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).

thf(2,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).

thf(3,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).

thf(4,axiom,
    tptp4 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).

thf(5,axiom,
    tptp4 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).

thf(6,axiom,
    tptp4 != tptp3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).

thf(7,axiom,
    atomic @ tptp3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).

thf(8,axiom,
    atomic @ tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).

thf(9,axiom,
    atomic @ tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).

thf(11,axiom,
    ~ ( atomic @ tptp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

thf(12,axiom,
    activity @ tptp0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).

thf(13,axiom,
    ! [X95: $i,X96: $i] :
      ( ( ( occurrence_of @ X96 @ tptp0 )
        & ( subactivity_occurrence @ X95 @ X96 )
        & ( arboreal @ X95 )
        & ~ ( leaf_occ @ X95 @ X96 ) )
     => ? [X97: $i,X98: $i,X99: $i] :
          ( ( occurrence_of @ X97 @ tptp3 )
          & ( next_subocc @ X95 @ X97 @ tptp0 )
          & ( occurrence_of @ X98 @ tptp4 )
          & ( min_precedes @ X97 @ X98 @ tptp0 )
          & ( ( occurrence_of @ X99 @ tptp2 )
            | ( occurrence_of @ X99 @ tptp1 ) )
          & ( min_precedes @ X98 @ X99 @ tptp0 )
          & ! [X100: $i] :
              ( ( min_precedes @ X97 @ X100 @ tptp0 )
             => ( ( X100 = X98 )
                | ( X100 = X99 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

thf(17,axiom,
    ! [X85: $i,X86: $i,X87: $i,X88: $i] :
      ( ( ( occurrence_of @ X86 @ X85 )
        & ( arboreal @ X87 )
        & ( arboreal @ X88 )
        & ( subactivity_occurrence @ X87 @ X86 )
        & ( subactivity_occurrence @ X88 @ X86 ) )
     => ( ( min_precedes @ X87 @ X88 @ X85 )
        | ( min_precedes @ X88 @ X87 @ X85 )
        | ( X87 = X88 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).

thf(20,axiom,
    ! [X74: $i,X75: $i] :
      ( ( ( leaf @ X74 @ X75 )
        & ~ ( atomic @ X75 ) )
     => ? [X76: $i] :
          ( ( occurrence_of @ X76 @ X75 )
          & ( leaf_occ @ X74 @ X76 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).

thf(21,axiom,
    ! [X70: $i,X71: $i,X72: $i] :
      ( ( min_precedes @ X71 @ X72 @ X70 )
     => ? [X73: $i] :
          ( ( occurrence_of @ X73 @ X70 )
          & ( subactivity_occurrence @ X71 @ X73 )
          & ( subactivity_occurrence @ X72 @ X73 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).

thf(22,axiom,
    ! [X67: $i,X68: $i] :
      ( ( ( leaf @ X67 @ X68 )
        & ~ ( atomic @ X68 ) )
     => ? [X69: $i] :
          ( ( occurrence_of @ X69 @ X68 )
          & ( leaf_occ @ X67 @ X69 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).

thf(23,axiom,
    ! [X64: $i,X65: $i,X66: $i] :
      ( ( ( occurrence_of @ X64 @ X65 )
        & ( occurrence_of @ X64 @ X66 ) )
     => ( X65 = X66 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).

thf(24,axiom,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( ( occurrence_of @ X60 @ X62 )
        & ( leaf_occ @ X61 @ X60 ) )
     => ~ ? [X63: $i] : ( min_precedes @ X61 @ X63 @ X62 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

thf(25,axiom,
    ! [X56: $i,X57: $i,X58: $i] :
      ( ( ( occurrence_of @ X56 @ X58 )
        & ( root_occ @ X57 @ X56 ) )
     => ~ ? [X59: $i] : ( min_precedes @ X59 @ X57 @ X58 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).

thf(26,axiom,
    ! [X54: $i,X55: $i] :
      ( ( subactivity_occurrence @ X54 @ X55 )
     => ( ( activity_occurrence @ X54 )
        & ( activity_occurrence @ X55 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).

thf(28,axiom,
    ! [X51: $i] :
      ( ( legal @ X51 )
     => ( arboreal @ X51 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).

thf(31,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 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

thf(32,axiom,
    ! [X40: $i,X41: $i] :
      ( ( occurrence_of @ X40 @ X41 )
     => ( ( arboreal @ X40 )
      <=> ( atomic @ X41 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).

thf(34,axiom,
    ! [X35: $i,X36: $i] :
      ( ( leaf_occ @ X35 @ X36 )
    <=> ? [X37: $i] :
          ( ( occurrence_of @ X36 @ X37 )
          & ( subactivity_occurrence @ X35 @ X36 )
          & ( leaf @ X35 @ X37 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

thf(38,axiom,
    ! [X25: $i,X26: $i,X27: $i] :
      ( ( min_precedes @ X25 @ X26 @ X27 )
     => ~ ( root @ X26 @ X27 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

thf(39,axiom,
    ! [X22: $i,X23: $i,X24: $i] :
      ( ( min_precedes @ X22 @ X23 @ X24 )
     => ( precedes @ X22 @ X23 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).

thf(40,axiom,
    ! [X19: $i,X20: $i,X21: $i] :
      ( ( next_subocc @ X19 @ X20 @ X21 )
     => ( ( arboreal @ X19 )
        & ( arboreal @ X20 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

thf(41,axiom,
    ! [X15: $i,X16: $i,X17: $i] :
      ( ( next_subocc @ X15 @ X16 @ X17 )
    <=> ( ( min_precedes @ X15 @ X16 @ X17 )
        & ~ ? [X18: $i] :
              ( ( min_precedes @ X15 @ X18 @ X17 )
              & ( min_precedes @ X18 @ X16 @ X17 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

thf(42,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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

thf(43,axiom,
    ! [X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( ( occurrence_of @ X9 @ X10 )
        & ( root_occ @ X7 @ X9 )
        & ( root_occ @ X8 @ X9 ) )
     => ( X7 = X8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

thf(45,axiom,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( min_precedes @ X0 @ X1 @ X3 )
        & ( min_precedes @ X1 @ X2 @ X3 ) )
     => ( min_precedes @ X0 @ X2 @ X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).

thf(46,conjecture,
    ! [X101: $i,X102: $i] :
      ( ( ( occurrence_of @ X102 @ tptp0 )
        & ( subactivity_occurrence @ X101 @ X102 )
        & ( arboreal @ X101 )
        & ~ ( leaf_occ @ X101 @ X102 ) )
     => ? [X103: $i,X104: $i] :
          ( ( occurrence_of @ X103 @ tptp3 )
          & ( next_subocc @ X101 @ X103 @ tptp0 )
          & ( ( occurrence_of @ X104 @ tptp2 )
            | ( occurrence_of @ X104 @ tptp1 ) )
          & ( min_precedes @ X103 @ X104 @ tptp0 )
          & ( leaf @ X104 @ tptp0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

thf(47,negated_conjecture,
    ( ( ! [X101: $i,X102: $i] :
          ( ( ( occurrence_of @ X102 @ tptp0 )
            & ( subactivity_occurrence @ X101 @ X102 )
            & ( arboreal @ X101 )
            & ~ ( leaf_occ @ X101 @ X102 ) )
         => ? [X103: $i,X104: $i] :
              ( ( occurrence_of @ X103 @ tptp3 )
              & ( next_subocc @ X101 @ X103 @ tptp0 )
              & ( ( occurrence_of @ X104 @ tptp2 )
                | ( occurrence_of @ X104 @ tptp1 ) )
              & ( min_precedes @ X103 @ X104 @ tptp0 )
              & ( leaf @ X104 @ tptp0 ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[46]) ).

thf(48,plain,
    ( ( ! [X101: $i,X102: $i] :
          ( ( ( occurrence_of @ X102 @ tptp0 )
            & ( subactivity_occurrence @ X101 @ X102 )
            & ( arboreal @ X101 )
            & ~ ( leaf_occ @ X101 @ X102 ) )
         => ? [X103: $i,X104: $i] :
              ( ( occurrence_of @ X103 @ tptp3 )
              & ( next_subocc @ X101 @ X103 @ tptp0 )
              & ( ( occurrence_of @ X104 @ tptp2 )
                | ( occurrence_of @ X104 @ tptp1 ) )
              & ( min_precedes @ X103 @ X104 @ tptp0 )
              & ( leaf @ X104 @ tptp0 ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(49,plain,
    ( ( tptp2 != tptp1 )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(50,plain,
    ( ( tptp3 != tptp1 )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(51,plain,
    ( ( tptp3 != tptp2 )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(52,plain,
    ( ( tptp4 != tptp1 )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(53,plain,
    ( ( tptp4 != tptp2 )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(54,plain,
    ( ( tptp4 != tptp3 )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(55,plain,
    ( ( atomic @ tptp3 )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(56,plain,
    ( ( atomic @ tptp1 )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(57,plain,
    ( ( atomic @ tptp2 )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(58,plain,
    ( ( ~ ( atomic @ tptp0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(59,plain,
    ( ( activity @ tptp0 )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(60,plain,
    ( ( ! [X95: $i,X96: $i] :
          ( ( ( occurrence_of @ X96 @ tptp0 )
            & ( subactivity_occurrence @ X95 @ X96 )
            & ( arboreal @ X95 )
            & ~ ( leaf_occ @ X95 @ X96 ) )
         => ? [X97: $i,X98: $i,X99: $i] :
              ( ( occurrence_of @ X97 @ tptp3 )
              & ( next_subocc @ X95 @ X97 @ tptp0 )
              & ( occurrence_of @ X98 @ tptp4 )
              & ( min_precedes @ X97 @ X98 @ tptp0 )
              & ( ( occurrence_of @ X99 @ tptp2 )
                | ( occurrence_of @ X99 @ tptp1 ) )
              & ( min_precedes @ X98 @ X99 @ tptp0 )
              & ! [X100: $i] :
                  ( ( min_precedes @ X97 @ X100 @ tptp0 )
                 => ( ( X100 = X98 )
                    | ( X100 = X99 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(61,plain,
    ( ( ! [X85: $i,X86: $i,X87: $i,X88: $i] :
          ( ( ( occurrence_of @ X86 @ X85 )
            & ( arboreal @ X87 )
            & ( arboreal @ X88 )
            & ( subactivity_occurrence @ X87 @ X86 )
            & ( subactivity_occurrence @ X88 @ X86 ) )
         => ( ( min_precedes @ X87 @ X88 @ X85 )
            | ( min_precedes @ X88 @ X87 @ X85 )
            | ( X87 = X88 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(62,plain,
    ( ( ! [X74: $i,X75: $i] :
          ( ( ( leaf @ X74 @ X75 )
            & ~ ( atomic @ X75 ) )
         => ? [X76: $i] :
              ( ( occurrence_of @ X76 @ X75 )
              & ( leaf_occ @ X74 @ X76 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(63,plain,
    ( ( ! [X70: $i,X71: $i,X72: $i] :
          ( ( min_precedes @ X71 @ X72 @ X70 )
         => ? [X73: $i] :
              ( ( occurrence_of @ X73 @ X70 )
              & ( subactivity_occurrence @ X71 @ X73 )
              & ( subactivity_occurrence @ X72 @ X73 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(64,plain,
    ( ( ! [X67: $i,X68: $i] :
          ( ( ( leaf @ X67 @ X68 )
            & ~ ( atomic @ X68 ) )
         => ? [X69: $i] :
              ( ( occurrence_of @ X69 @ X68 )
              & ( leaf_occ @ X67 @ X69 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(65,plain,
    ( ( ! [X64: $i,X65: $i,X66: $i] :
          ( ( ( occurrence_of @ X64 @ X65 )
            & ( occurrence_of @ X64 @ X66 ) )
         => ( X65 = X66 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(66,plain,
    ( ( ! [X60: $i,X61: $i,X62: $i] :
          ( ( ( occurrence_of @ X60 @ X62 )
            & ( leaf_occ @ X61 @ X60 ) )
         => ~ ? [X63: $i] : ( min_precedes @ X61 @ X63 @ X62 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(67,plain,
    ( ( ! [X56: $i,X57: $i,X58: $i] :
          ( ( ( occurrence_of @ X56 @ X58 )
            & ( root_occ @ X57 @ X56 ) )
         => ~ ? [X59: $i] : ( min_precedes @ X59 @ X57 @ X58 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(68,plain,
    ( ( ! [X54: $i,X55: $i] :
          ( ( subactivity_occurrence @ X54 @ X55 )
         => ( ( activity_occurrence @ X54 )
            & ( activity_occurrence @ X55 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(69,plain,
    ( ( ! [X51: $i] :
          ( ( legal @ X51 )
         => ( arboreal @ X51 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(70,plain,
    ( ( ! [X42: $i,X43: $i] :
          ( ( leaf @ X42 @ X43 )
        <=> ( ( ( root @ X42 @ X43 )
              | ? [X44: $i] : ( min_precedes @ X44 @ X42 @ X43 ) )
            & ~ ? [X45: $i] : ( min_precedes @ X42 @ X45 @ X43 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(71,plain,
    ( ( ! [X40: $i,X41: $i] :
          ( ( occurrence_of @ X40 @ X41 )
         => ( ( arboreal @ X40 )
          <=> ( atomic @ X41 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(72,plain,
    ( ( ! [X35: $i,X36: $i] :
          ( ( leaf_occ @ X35 @ X36 )
        <=> ? [X37: $i] :
              ( ( occurrence_of @ X36 @ X37 )
              & ( subactivity_occurrence @ X35 @ X36 )
              & ( leaf @ X35 @ X37 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(73,plain,
    ( ( ! [X25: $i,X26: $i,X27: $i] :
          ( ( min_precedes @ X25 @ X26 @ X27 )
         => ~ ( root @ X26 @ X27 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(74,plain,
    ( ( ! [X22: $i,X23: $i,X24: $i] :
          ( ( min_precedes @ X22 @ X23 @ X24 )
         => ( precedes @ X22 @ X23 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(75,plain,
    ( ( ! [X19: $i,X20: $i,X21: $i] :
          ( ( next_subocc @ X19 @ X20 @ X21 )
         => ( ( arboreal @ X19 )
            & ( arboreal @ X20 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(76,plain,
    ( ( ! [X15: $i,X16: $i,X17: $i] :
          ( ( next_subocc @ X15 @ X16 @ X17 )
        <=> ( ( min_precedes @ X15 @ X16 @ X17 )
            & ~ ? [X18: $i] :
                  ( ( min_precedes @ X15 @ X18 @ X17 )
                  & ( min_precedes @ X18 @ X16 @ X17 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(77,plain,
    ( ( ! [X11: $i,X12: $i,X13: $i,X14: $i] :
          ( ( ( occurrence_of @ X13 @ X14 )
            & ~ ( atomic @ X14 )
            & ( leaf_occ @ X11 @ X13 )
            & ( leaf_occ @ X12 @ X13 ) )
         => ( X11 = X12 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(78,plain,
    ( ( ! [X7: $i,X8: $i,X9: $i,X10: $i] :
          ( ( ( occurrence_of @ X9 @ X10 )
            & ( root_occ @ X7 @ X9 )
            & ( root_occ @ X8 @ X9 ) )
         => ( X7 = X8 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(79,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
          ( ( ( min_precedes @ X0 @ X1 @ X3 )
            & ( min_precedes @ X1 @ X2 @ X3 ) )
         => ( min_precedes @ X0 @ X2 @ X3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(80,plain,
    ( ( ! [SY72: $i] :
          ( ( ( occurrence_of @ SY72 @ tptp0 )
            & ( subactivity_occurrence @ sK1_X101 @ SY72 )
            & ( arboreal @ sK1_X101 )
            & ~ ( leaf_occ @ sK1_X101 @ SY72 ) )
         => ? [SY73: $i,SY74: $i] :
              ( ( occurrence_of @ SY73 @ tptp3 )
              & ( next_subocc @ sK1_X101 @ SY73 @ tptp0 )
              & ( ( occurrence_of @ SY74 @ tptp2 )
                | ( occurrence_of @ SY74 @ tptp1 ) )
              & ( min_precedes @ SY73 @ SY74 @ tptp0 )
              & ( leaf @ SY74 @ tptp0 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[48]) ).

thf(81,plain,
    ( ( ( ( occurrence_of @ sK2_SY72 @ tptp0 )
        & ( subactivity_occurrence @ sK1_X101 @ sK2_SY72 )
        & ( arboreal @ sK1_X101 )
        & ~ ( leaf_occ @ sK1_X101 @ sK2_SY72 ) )
     => ? [SY73: $i,SY74: $i] :
          ( ( occurrence_of @ SY73 @ tptp3 )
          & ( next_subocc @ sK1_X101 @ SY73 @ tptp0 )
          & ( ( occurrence_of @ SY74 @ tptp2 )
            | ( occurrence_of @ SY74 @ tptp1 ) )
          & ( min_precedes @ SY73 @ SY74 @ tptp0 )
          & ( leaf @ SY74 @ tptp0 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[80]) ).

thf(82,plain,
    ( ( occurrence_of @ sK2_SY72 @ tptp0 )
    = $true ),
    inference(standard_cnf,[status(thm)],[81]) ).

thf(83,plain,
    ( ( subactivity_occurrence @ sK1_X101 @ sK2_SY72 )
    = $true ),
    inference(standard_cnf,[status(thm)],[81]) ).

thf(84,plain,
    ( ( arboreal @ sK1_X101 )
    = $true ),
    inference(standard_cnf,[status(thm)],[81]) ).

thf(85,plain,
    ( ( ~ ( leaf_occ @ sK1_X101 @ sK2_SY72 ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[81]) ).

thf(86,plain,
    ( ( ? [SY73: $i,SY74: $i] :
          ( ( occurrence_of @ SY73 @ tptp3 )
          & ( next_subocc @ sK1_X101 @ SY73 @ tptp0 )
          & ( ( occurrence_of @ SY74 @ tptp2 )
            | ( occurrence_of @ SY74 @ tptp1 ) )
          & ( min_precedes @ SY73 @ SY74 @ tptp0 )
          & ( leaf @ SY74 @ tptp0 ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[81]) ).

thf(87,plain,
    ( ( ~ ? [SY73: $i,SY74: $i] :
            ( ( occurrence_of @ SY73 @ tptp3 )
            & ( next_subocc @ sK1_X101 @ SY73 @ tptp0 )
            & ( ( occurrence_of @ SY74 @ tptp2 )
              | ( occurrence_of @ SY74 @ tptp1 ) )
            & ( min_precedes @ SY73 @ SY74 @ tptp0 )
            & ( leaf @ SY74 @ tptp0 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[86]) ).

thf(88,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
          ( ( ( min_precedes @ X0 @ X1 @ X3 )
            & ( min_precedes @ X1 @ X2 @ X3 ) )
         => ( min_precedes @ X0 @ X2 @ X3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(89,plain,
    ( ( ! [X7: $i,X8: $i,X9: $i,X10: $i] :
          ( ( ( occurrence_of @ X9 @ X10 )
            & ( root_occ @ X7 @ X9 )
            & ( root_occ @ X8 @ X9 ) )
         => ( X7 = X8 ) ) )
    = $true ),
    inference(copy,[status(thm)],[78]) ).

thf(90,plain,
    ( ( ! [X11: $i,X12: $i,X13: $i,X14: $i] :
          ( ( ( occurrence_of @ X13 @ X14 )
            & ~ ( atomic @ X14 )
            & ( leaf_occ @ X11 @ X13 )
            & ( leaf_occ @ X12 @ X13 ) )
         => ( X11 = X12 ) ) )
    = $true ),
    inference(copy,[status(thm)],[77]) ).

thf(91,plain,
    ( ( ! [X15: $i,X16: $i,X17: $i] :
          ( ( next_subocc @ X15 @ X16 @ X17 )
        <=> ( ( min_precedes @ X15 @ X16 @ X17 )
            & ~ ? [X18: $i] :
                  ( ( min_precedes @ X15 @ X18 @ X17 )
                  & ( min_precedes @ X18 @ X16 @ X17 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(92,plain,
    ( ( ! [X19: $i,X20: $i,X21: $i] :
          ( ( next_subocc @ X19 @ X20 @ X21 )
         => ( ( arboreal @ X19 )
            & ( arboreal @ X20 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(93,plain,
    ( ( ! [X22: $i,X23: $i,X24: $i] :
          ( ( min_precedes @ X22 @ X23 @ X24 )
         => ( precedes @ X22 @ X23 ) ) )
    = $true ),
    inference(copy,[status(thm)],[74]) ).

thf(94,plain,
    ( ( ! [X25: $i,X26: $i,X27: $i] :
          ( ( min_precedes @ X25 @ X26 @ X27 )
         => ~ ( root @ X26 @ X27 ) ) )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(95,plain,
    ( ( ! [X35: $i,X36: $i] :
          ( ( leaf_occ @ X35 @ X36 )
        <=> ? [X37: $i] :
              ( ( occurrence_of @ X36 @ X37 )
              & ( subactivity_occurrence @ X35 @ X36 )
              & ( leaf @ X35 @ X37 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(96,plain,
    ( ( ! [X40: $i,X41: $i] :
          ( ( occurrence_of @ X40 @ X41 )
         => ( ( arboreal @ X40 )
          <=> ( atomic @ X41 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(97,plain,
    ( ( ! [X42: $i,X43: $i] :
          ( ( leaf @ X42 @ X43 )
        <=> ( ( ( root @ X42 @ X43 )
              | ? [X44: $i] : ( min_precedes @ X44 @ X42 @ X43 ) )
            & ~ ? [X45: $i] : ( min_precedes @ X42 @ X45 @ X43 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(98,plain,
    ( ( ! [X51: $i] :
          ( ( legal @ X51 )
         => ( arboreal @ X51 ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(99,plain,
    ( ( ! [X54: $i,X55: $i] :
          ( ( subactivity_occurrence @ X54 @ X55 )
         => ( ( activity_occurrence @ X54 )
            & ( activity_occurrence @ X55 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(100,plain,
    ( ( ! [X56: $i,X57: $i,X58: $i] :
          ( ( ( occurrence_of @ X56 @ X58 )
            & ( root_occ @ X57 @ X56 ) )
         => ~ ? [X59: $i] : ( min_precedes @ X59 @ X57 @ X58 ) ) )
    = $true ),
    inference(copy,[status(thm)],[67]) ).

thf(101,plain,
    ( ( ! [X60: $i,X61: $i,X62: $i] :
          ( ( ( occurrence_of @ X60 @ X62 )
            & ( leaf_occ @ X61 @ X60 ) )
         => ~ ? [X63: $i] : ( min_precedes @ X61 @ X63 @ X62 ) ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(102,plain,
    ( ( ! [X64: $i,X65: $i,X66: $i] :
          ( ( ( occurrence_of @ X64 @ X65 )
            & ( occurrence_of @ X64 @ X66 ) )
         => ( X65 = X66 ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(103,plain,
    ( ( ! [X67: $i,X68: $i] :
          ( ( ( leaf @ X67 @ X68 )
            & ~ ( atomic @ X68 ) )
         => ? [X69: $i] :
              ( ( occurrence_of @ X69 @ X68 )
              & ( leaf_occ @ X67 @ X69 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(104,plain,
    ( ( ! [X70: $i,X71: $i,X72: $i] :
          ( ( min_precedes @ X71 @ X72 @ X70 )
         => ? [X73: $i] :
              ( ( occurrence_of @ X73 @ X70 )
              & ( subactivity_occurrence @ X71 @ X73 )
              & ( subactivity_occurrence @ X72 @ X73 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(105,plain,
    ( ( ! [X74: $i,X75: $i] :
          ( ( ( leaf @ X74 @ X75 )
            & ~ ( atomic @ X75 ) )
         => ? [X76: $i] :
              ( ( occurrence_of @ X76 @ X75 )
              & ( leaf_occ @ X74 @ X76 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(106,plain,
    ( ( ! [X85: $i,X86: $i,X87: $i,X88: $i] :
          ( ( ( occurrence_of @ X86 @ X85 )
            & ( arboreal @ X87 )
            & ( arboreal @ X88 )
            & ( subactivity_occurrence @ X87 @ X86 )
            & ( subactivity_occurrence @ X88 @ X86 ) )
         => ( ( min_precedes @ X87 @ X88 @ X85 )
            | ( min_precedes @ X88 @ X87 @ X85 )
            | ( X87 = X88 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(107,plain,
    ( ( ! [X95: $i,X96: $i] :
          ( ( ( occurrence_of @ X96 @ tptp0 )
            & ( subactivity_occurrence @ X95 @ X96 )
            & ( arboreal @ X95 )
            & ~ ( leaf_occ @ X95 @ X96 ) )
         => ? [X97: $i,X98: $i,X99: $i] :
              ( ( occurrence_of @ X97 @ tptp3 )
              & ( next_subocc @ X95 @ X97 @ tptp0 )
              & ( occurrence_of @ X98 @ tptp4 )
              & ( min_precedes @ X97 @ X98 @ tptp0 )
              & ( ( occurrence_of @ X99 @ tptp2 )
                | ( occurrence_of @ X99 @ tptp1 ) )
              & ( min_precedes @ X98 @ X99 @ tptp0 )
              & ! [X100: $i] :
                  ( ( min_precedes @ X97 @ X100 @ tptp0 )
                 => ( ( X100 = X98 )
                    | ( X100 = X99 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(108,plain,
    ( ( activity @ tptp0 )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(109,plain,
    ( ( ~ ( atomic @ tptp0 ) )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(110,plain,
    ( ( atomic @ tptp2 )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(111,plain,
    ( ( atomic @ tptp1 )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(112,plain,
    ( ( atomic @ tptp3 )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(113,plain,
    ( ( tptp4 != tptp3 )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(114,plain,
    ( ( tptp4 != tptp2 )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(115,plain,
    ( ( tptp4 != tptp1 )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(116,plain,
    ( ( tptp3 != tptp2 )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(117,plain,
    ( ( tptp3 != tptp1 )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(118,plain,
    ( ( tptp2 != tptp1 )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(119,plain,
    ( ( ~ ( leaf_occ @ sK1_X101 @ sK2_SY72 ) )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(120,plain,
    ( ( arboreal @ sK1_X101 )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(121,plain,
    ( ( subactivity_occurrence @ sK1_X101 @ sK2_SY72 )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(122,plain,
    ( ( occurrence_of @ sK2_SY72 @ tptp0 )
    = $true ),
    inference(copy,[status(thm)],[82]) ).

thf(123,plain,
    ( ( ~ ? [SY73: $i,SY74: $i] :
            ( ( occurrence_of @ SY73 @ tptp3 )
            & ( next_subocc @ sK1_X101 @ SY73 @ tptp0 )
            & ( ( occurrence_of @ SY74 @ tptp2 )
              | ( occurrence_of @ SY74 @ tptp1 ) )
            & ( min_precedes @ SY73 @ SY74 @ tptp0 )
            & ( leaf @ SY74 @ tptp0 ) ) )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(124,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( min_precedes @ SX0 @ SX1 @ SX3 )
                | ~ ( min_precedes @ SX1 @ SX2 @ SX3 ) )
          | ( min_precedes @ SX0 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(125,plain,
    ( ( tptp4 != tptp1 )
    = $true ),
    inference(unfold_def,[status(thm)],[115]) ).

thf(126,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( next_subocc @ SX0 @ SX1 @ SX2 )
          | ~ ( ~ ( arboreal @ SX0 )
              | ~ ( arboreal @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(127,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( leaf_occ @ SX0 @ SX1 )
                | ~ ! [SX2: $i] :
                      ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ SX2 )
                                | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                          | ~ ( leaf @ SX0 @ SX2 ) ) )
            | ~ ( ~ ~ ! [SX2: $i] :
                        ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ SX2 )
                                  | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                            | ~ ( leaf @ SX0 @ SX2 ) )
                | ( leaf_occ @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(128,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
          | ( precedes @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(129,plain,
    ( ( tptp4 != tptp2 )
    = $true ),
    inference(unfold_def,[status(thm)],[114]) ).

thf(130,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( subactivity_occurrence @ SX0 @ SX1 )
          | ~ ( ~ ( activity_occurrence @ SX0 )
              | ~ ( activity_occurrence @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(131,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( leaf @ SX0 @ SX1 )
                | ~ ( ~ ( ( root @ SX0 @ SX1 )
                        | ~ ! [SX2: $i] :
                              ~ ( min_precedes @ SX2 @ SX0 @ SX1 ) )
                    | ~ ~ ~ ! [SX2: $i] :
                              ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) ) )
            | ~ ( ~ ~ ( ~ ( ( root @ SX0 @ SX1 )
                          | ~ ! [SX2: $i] :
                                ~ ( min_precedes @ SX2 @ SX0 @ SX1 ) )
                      | ~ ~ ~ ! [SX2: $i] :
                                ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) )
                | ( leaf @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97]) ).

thf(132,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( next_subocc @ SX0 @ SX1 @ SX2 )
                | ~ ( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
                    | ~ ~ ~ ! [SX3: $i] :
                              ~ ~ ( ~ ( min_precedes @ SX0 @ SX3 @ SX2 )
                                  | ~ ( min_precedes @ SX3 @ SX1 @ SX2 ) ) ) )
            | ~ ( ~ ~ ( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
                      | ~ ~ ~ ! [SX3: $i] :
                                ~ ~ ( ~ ( min_precedes @ SX0 @ SX3 @ SX2 )
                                    | ~ ( min_precedes @ SX3 @ SX1 @ SX2 ) ) )
                | ( next_subocc @ SX0 @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(133,plain,
    ( ( ~ ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX0 @ tptp3 )
                                          | ~ ( next_subocc @ sK1_X101 @ SX0 @ tptp0 ) )
                                    | ~ ( ( occurrence_of @ SX1 @ tptp2 )
                                        | ( occurrence_of @ SX1 @ tptp1 ) ) )
                              | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 ) )
                        | ~ ( leaf @ SX1 @ tptp0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123]) ).

thf(134,plain,
    ( ( tptp4 != tptp3 )
    = $true ),
    inference(unfold_def,[status(thm)],[113]) ).

thf(135,plain,
    ( ( tptp3 != tptp2 )
    = $true ),
    inference(unfold_def,[status(thm)],[116]) ).

thf(136,plain,
    ( ( tptp3 != tptp1 )
    = $true ),
    inference(unfold_def,[status(thm)],[117]) ).

thf(137,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX2 @ SX3 )
                            | ~ ~ ( atomic @ SX3 ) )
                      | ~ ( leaf_occ @ SX0 @ SX2 ) )
                | ~ ( leaf_occ @ SX1 @ SX2 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(138,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ tptp0 )
                            | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                      | ~ ( arboreal @ SX0 ) )
                | ~ ~ ( leaf_occ @ SX0 @ SX1 ) )
          | ~ ! [SX2: $i] :
                ~ ~ ! [SX3: $i] :
                      ~ ~ ! [SX4: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX2 @ tptp3 )
                                                              | ~ ( next_subocc @ SX0 @ SX2 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SX3 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SX2 @ SX3 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SX4 @ tptp2 )
                                                | ( occurrence_of @ SX4 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SX3 @ SX4 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SX2 @ SX5 @ tptp0 )
                                      | ( SX5 = SX3 )
                                      | ( SX5 = SX4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107]) ).

thf(139,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( leaf @ SX0 @ SX1 )
                | ~ ~ ( atomic @ SX1 ) )
          | ~ ! [SX2: $i] :
                ~ ~ ( ~ ( occurrence_of @ SX2 @ SX1 )
                    | ~ ( leaf_occ @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(140,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( legal @ SX0 )
          | ( arboreal @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98]) ).

thf(141,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( occurrence_of @ SX0 @ SX2 )
                | ~ ( root_occ @ SX1 @ SX0 ) )
          | ~ ~ ! [SX3: $i] :
                  ~ ( min_precedes @ SX3 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100]) ).

thf(142,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
          | ~ ( root @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(143,plain,
    ( ( tptp2 != tptp1 )
    = $true ),
    inference(unfold_def,[status(thm)],[118]) ).

thf(144,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( occurrence_of @ SX0 @ SX1 )
          | ~ ( ~ ( ~ ( arboreal @ SX0 )
                  | ( atomic @ SX1 ) )
              | ~ ( ~ ( atomic @ SX1 )
                  | ( arboreal @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(145,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( occurrence_of @ SX0 @ SX2 )
                | ~ ( leaf_occ @ SX1 @ SX0 ) )
          | ~ ~ ! [SX3: $i] :
                  ~ ( min_precedes @ SX1 @ SX3 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101]) ).

thf(146,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX2 @ SX3 )
                      | ~ ( root_occ @ SX0 @ SX2 ) )
                | ~ ( root_occ @ SX1 @ SX2 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(147,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ SX0 )
                                  | ~ ( arboreal @ SX2 ) )
                            | ~ ( arboreal @ SX3 ) )
                      | ~ ( subactivity_occurrence @ SX2 @ SX1 ) )
                | ~ ( subactivity_occurrence @ SX3 @ SX1 ) )
          | ( min_precedes @ SX2 @ SX3 @ SX0 )
          | ( min_precedes @ SX3 @ SX2 @ SX0 )
          | ( SX2 = SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[106]) ).

thf(148,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( occurrence_of @ SX0 @ SX1 )
                | ~ ( occurrence_of @ SX0 @ SX2 ) )
          | ( SX1 = SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[102]) ).

thf(149,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( leaf @ SX0 @ SX1 )
                | ~ ~ ( atomic @ SX1 ) )
          | ~ ! [SX2: $i] :
                ~ ~ ( ~ ( occurrence_of @ SX2 @ SX1 )
                    | ~ ( leaf_occ @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103]) ).

thf(150,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( min_precedes @ SX1 @ SX2 @ SX0 )
          | ~ ! [SX3: $i] :
                ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX3 @ SX0 )
                          | ~ ( subactivity_occurrence @ SX1 @ SX3 ) )
                    | ~ ( subactivity_occurrence @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104]) ).

thf(151,plain,
    ( ( atomic @ tptp0 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(152,plain,
    ( ( leaf_occ @ sK1_X101 @ sK2_SY72 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(153,plain,
    ! [SV1: $i] :
      ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
            ( ~ ~ ( ~ ( min_precedes @ SV1 @ SY77 @ SY79 )
                  | ~ ( min_precedes @ SY77 @ SY78 @ SY79 ) )
            | ( min_precedes @ SV1 @ SY78 @ SY79 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[124]) ).

thf(154,plain,
    ( ( tptp4 = tptp1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[125]) ).

thf(155,plain,
    ! [SV2: $i] :
      ( ( ! [SY80: $i,SY81: $i] :
            ( ~ ( next_subocc @ SV2 @ SY80 @ SY81 )
            | ~ ( ~ ( arboreal @ SV2 )
                | ~ ( arboreal @ SY80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[126]) ).

thf(156,plain,
    ! [SV3: $i] :
      ( ( ! [SY82: $i] :
            ~ ( ~ ( ~ ( leaf_occ @ SV3 @ SY82 )
                  | ~ ! [SY83: $i] :
                        ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY82 @ SY83 )
                                  | ~ ( subactivity_occurrence @ SV3 @ SY82 ) )
                            | ~ ( leaf @ SV3 @ SY83 ) ) )
              | ~ ( ~ ~ ! [SY84: $i] :
                          ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY82 @ SY84 )
                                    | ~ ( subactivity_occurrence @ SV3 @ SY82 ) )
                              | ~ ( leaf @ SV3 @ SY84 ) )
                  | ( leaf_occ @ SV3 @ SY82 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[127]) ).

thf(157,plain,
    ! [SV4: $i] :
      ( ( ! [SY85: $i,SY86: $i] :
            ( ~ ( min_precedes @ SV4 @ SY85 @ SY86 )
            | ( precedes @ SV4 @ SY85 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[128]) ).

thf(158,plain,
    ( ( tptp4 = tptp2 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(159,plain,
    ! [SV5: $i] :
      ( ( ! [SY87: $i] :
            ( ~ ( subactivity_occurrence @ SV5 @ SY87 )
            | ~ ( ~ ( activity_occurrence @ SV5 )
                | ~ ( activity_occurrence @ SY87 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[130]) ).

thf(160,plain,
    ! [SV6: $i] :
      ( ( ! [SY88: $i] :
            ~ ( ~ ( ~ ( leaf @ SV6 @ SY88 )
                  | ~ ( ~ ( ( root @ SV6 @ SY88 )
                          | ~ ! [SY89: $i] :
                                ~ ( min_precedes @ SY89 @ SV6 @ SY88 ) )
                      | ~ ~ ~ ! [SY90: $i] :
                                ~ ( min_precedes @ SV6 @ SY90 @ SY88 ) ) )
              | ~ ( ~ ~ ( ~ ( ( root @ SV6 @ SY88 )
                            | ~ ! [SY91: $i] :
                                  ~ ( min_precedes @ SY91 @ SV6 @ SY88 ) )
                        | ~ ~ ~ ! [SY92: $i] :
                                  ~ ( min_precedes @ SV6 @ SY92 @ SY88 ) )
                  | ( leaf @ SV6 @ SY88 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[131]) ).

thf(161,plain,
    ! [SV7: $i] :
      ( ( ! [SY93: $i,SY94: $i] :
            ~ ( ~ ( ~ ( next_subocc @ SV7 @ SY93 @ SY94 )
                  | ~ ( ~ ( min_precedes @ SV7 @ SY93 @ SY94 )
                      | ~ ~ ~ ! [SY95: $i] :
                                ~ ~ ( ~ ( min_precedes @ SV7 @ SY95 @ SY94 )
                                    | ~ ( min_precedes @ SY95 @ SY93 @ SY94 ) ) ) )
              | ~ ( ~ ~ ( ~ ( min_precedes @ SV7 @ SY93 @ SY94 )
                        | ~ ~ ~ ! [SY96: $i] :
                                  ~ ~ ( ~ ( min_precedes @ SV7 @ SY96 @ SY94 )
                                      | ~ ( min_precedes @ SY96 @ SY93 @ SY94 ) ) )
                  | ( next_subocc @ SV7 @ SY93 @ SY94 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[132]) ).

thf(162,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX0 @ tptp3 )
                                        | ~ ( next_subocc @ sK1_X101 @ SX0 @ tptp0 ) )
                                  | ~ ( ( occurrence_of @ SX1 @ tptp2 )
                                      | ( occurrence_of @ SX1 @ tptp1 ) ) )
                            | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 ) )
                      | ~ ( leaf @ SX1 @ tptp0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[133]) ).

thf(163,plain,
    ( ( tptp4 = tptp3 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(164,plain,
    ( ( tptp3 = tptp2 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[135]) ).

thf(165,plain,
    ( ( tptp3 = tptp1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(166,plain,
    ! [SV8: $i] :
      ( ( ! [SY97: $i,SY98: $i,SY99: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY98 @ SY99 )
                              | ~ ~ ( atomic @ SY99 ) )
                        | ~ ( leaf_occ @ SV8 @ SY98 ) )
                  | ~ ( leaf_occ @ SY97 @ SY98 ) )
            | ( SV8 = SY97 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[137]) ).

thf(167,plain,
    ! [SV9: $i] :
      ( ( ! [SY100: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY100 @ tptp0 )
                              | ~ ( subactivity_occurrence @ SV9 @ SY100 ) )
                        | ~ ( arboreal @ SV9 ) )
                  | ~ ~ ( leaf_occ @ SV9 @ SY100 ) )
            | ~ ! [SY101: $i] :
                  ~ ~ ! [SY102: $i] :
                        ~ ~ ! [SY103: $i] :
                              ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                                | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                          | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                    | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                              | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                  | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                        | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                  | ~ ! [SX5: $i] :
                                        ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                        | ( SX5 = SY102 )
                                        | ( SX5 = SY103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[138]) ).

thf(168,plain,
    ! [SV10: $i] :
      ( ( ! [SY105: $i] :
            ( ~ ~ ( ~ ( leaf @ SV10 @ SY105 )
                  | ~ ~ ( atomic @ SY105 ) )
            | ~ ! [SY106: $i] :
                  ~ ~ ( ~ ( occurrence_of @ SY106 @ SY105 )
                      | ~ ( leaf_occ @ SV10 @ SY106 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[139]) ).

thf(169,plain,
    ! [SV11: $i] :
      ( ( ~ ( legal @ SV11 )
        | ( arboreal @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[140]) ).

thf(170,plain,
    ! [SV12: $i] :
      ( ( ! [SY107: $i,SY108: $i] :
            ( ~ ~ ( ~ ( occurrence_of @ SV12 @ SY108 )
                  | ~ ( root_occ @ SY107 @ SV12 ) )
            | ~ ~ ! [SX3: $i] :
                    ~ ( min_precedes @ SX3 @ SY107 @ SY108 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[141]) ).

thf(171,plain,
    ! [SV13: $i] :
      ( ( ! [SY110: $i,SY111: $i] :
            ( ~ ( min_precedes @ SV13 @ SY110 @ SY111 )
            | ~ ( root @ SY110 @ SY111 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[142]) ).

thf(172,plain,
    ( ( tptp2 = tptp1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(173,plain,
    ! [SV14: $i] :
      ( ( ! [SY112: $i] :
            ( ~ ( occurrence_of @ SV14 @ SY112 )
            | ~ ( ~ ( ~ ( arboreal @ SV14 )
                    | ( atomic @ SY112 ) )
                | ~ ( ~ ( atomic @ SY112 )
                    | ( arboreal @ SV14 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[144]) ).

thf(174,plain,
    ! [SV15: $i] :
      ( ( ! [SY113: $i,SY114: $i] :
            ( ~ ~ ( ~ ( occurrence_of @ SV15 @ SY114 )
                  | ~ ( leaf_occ @ SY113 @ SV15 ) )
            | ~ ~ ! [SX3: $i] :
                    ~ ( min_precedes @ SY113 @ SX3 @ SY114 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[145]) ).

thf(175,plain,
    ! [SV16: $i] :
      ( ( ! [SY116: $i,SY117: $i,SY118: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY117 @ SY118 )
                        | ~ ( root_occ @ SV16 @ SY117 ) )
                  | ~ ( root_occ @ SY116 @ SY117 ) )
            | ( SV16 = SY116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(176,plain,
    ! [SV17: $i] :
      ( ( ! [SY119: $i,SY120: $i,SY121: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY119 @ SV17 )
                                    | ~ ( arboreal @ SY120 ) )
                              | ~ ( arboreal @ SY121 ) )
                        | ~ ( subactivity_occurrence @ SY120 @ SY119 ) )
                  | ~ ( subactivity_occurrence @ SY121 @ SY119 ) )
            | ( min_precedes @ SY120 @ SY121 @ SV17 )
            | ( min_precedes @ SY121 @ SY120 @ SV17 )
            | ( SY120 = SY121 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[147]) ).

thf(177,plain,
    ! [SV18: $i] :
      ( ( ! [SY122: $i,SY123: $i] :
            ( ~ ~ ( ~ ( occurrence_of @ SV18 @ SY122 )
                  | ~ ( occurrence_of @ SV18 @ SY123 ) )
            | ( SY122 = SY123 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[148]) ).

thf(178,plain,
    ! [SV19: $i] :
      ( ( ! [SY124: $i] :
            ( ~ ~ ( ~ ( leaf @ SV19 @ SY124 )
                  | ~ ~ ( atomic @ SY124 ) )
            | ~ ! [SY125: $i] :
                  ~ ~ ( ~ ( occurrence_of @ SY125 @ SY124 )
                      | ~ ( leaf_occ @ SV19 @ SY125 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(179,plain,
    ! [SV20: $i] :
      ( ( ! [SY126: $i,SY127: $i] :
            ( ~ ( min_precedes @ SY126 @ SY127 @ SV20 )
            | ~ ! [SY128: $i] :
                  ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY128 @ SV20 )
                            | ~ ( subactivity_occurrence @ SY126 @ SY128 ) )
                      | ~ ( subactivity_occurrence @ SY127 @ SY128 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[150]) ).

thf(180,plain,
    ! [SV21: $i,SV1: $i] :
      ( ( ! [SY129: $i,SY130: $i] :
            ( ~ ~ ( ~ ( min_precedes @ SV1 @ SV21 @ SY130 )
                  | ~ ( min_precedes @ SV21 @ SY129 @ SY130 ) )
            | ( min_precedes @ SV1 @ SY129 @ SY130 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[153]) ).

thf(181,plain,
    ! [SV22: $i,SV2: $i] :
      ( ( ! [SY131: $i] :
            ( ~ ( next_subocc @ SV2 @ SV22 @ SY131 )
            | ~ ( ~ ( arboreal @ SV2 )
                | ~ ( arboreal @ SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[155]) ).

thf(182,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ~ ( ~ ( ~ ( leaf_occ @ SV3 @ SV23 )
                | ~ ! [SY132: $i] :
                      ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY132 )
                                | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                          | ~ ( leaf @ SV3 @ SY132 ) ) )
            | ~ ( ~ ~ ! [SY133: $i] :
                        ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY133 )
                                  | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                            | ~ ( leaf @ SV3 @ SY133 ) )
                | ( leaf_occ @ SV3 @ SV23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[156]) ).

thf(183,plain,
    ! [SV24: $i,SV4: $i] :
      ( ( ! [SY134: $i] :
            ( ~ ( min_precedes @ SV4 @ SV24 @ SY134 )
            | ( precedes @ SV4 @ SV24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[157]) ).

thf(184,plain,
    ! [SV25: $i,SV5: $i] :
      ( ( ~ ( subactivity_occurrence @ SV5 @ SV25 )
        | ~ ( ~ ( activity_occurrence @ SV5 )
            | ~ ( activity_occurrence @ SV25 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[159]) ).

thf(185,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ~ ( ~ ( ~ ( leaf @ SV6 @ SV26 )
                | ~ ( ~ ( ( root @ SV6 @ SV26 )
                        | ~ ! [SY135: $i] :
                              ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
                    | ~ ~ ~ ! [SY136: $i] :
                              ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) ) )
            | ~ ( ~ ~ ( ~ ( ( root @ SV6 @ SV26 )
                          | ~ ! [SY137: $i] :
                                ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
                      | ~ ~ ~ ! [SY138: $i] :
                                ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
                | ( leaf @ SV6 @ SV26 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(186,plain,
    ! [SV27: $i,SV7: $i] :
      ( ( ! [SY139: $i] :
            ~ ( ~ ( ~ ( next_subocc @ SV7 @ SV27 @ SY139 )
                  | ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SY139 )
                      | ~ ~ ~ ! [SY140: $i] :
                                ~ ~ ( ~ ( min_precedes @ SV7 @ SY140 @ SY139 )
                                    | ~ ( min_precedes @ SY140 @ SV27 @ SY139 ) ) ) )
              | ~ ( ~ ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SY139 )
                        | ~ ~ ~ ! [SY141: $i] :
                                  ~ ~ ( ~ ( min_precedes @ SV7 @ SY141 @ SY139 )
                                      | ~ ( min_precedes @ SY141 @ SV27 @ SY139 ) ) )
                  | ( next_subocc @ SV7 @ SV27 @ SY139 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[161]) ).

thf(187,plain,
    ( ( ! [SX0: $i] :
          ~ ~ ! [SX1: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX0 @ tptp3 )
                                      | ~ ( next_subocc @ sK1_X101 @ SX0 @ tptp0 ) )
                                | ~ ( ( occurrence_of @ SX1 @ tptp2 )
                                    | ( occurrence_of @ SX1 @ tptp1 ) ) )
                          | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 ) )
                    | ~ ( leaf @ SX1 @ tptp0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[162]) ).

thf(188,plain,
    ! [SV28: $i,SV8: $i] :
      ( ( ! [SY142: $i,SY143: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY142 @ SY143 )
                              | ~ ~ ( atomic @ SY143 ) )
                        | ~ ( leaf_occ @ SV8 @ SY142 ) )
                  | ~ ( leaf_occ @ SV28 @ SY142 ) )
            | ( SV8 = SV28 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[166]) ).

thf(189,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
                          | ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
                    | ~ ( arboreal @ SV9 ) )
              | ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        | ~ ! [SY101: $i] :
              ~ ~ ! [SY102: $i] :
                    ~ ~ ! [SY103: $i] :
                          ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                            | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                      | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                          | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                              | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                    | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                              | ~ ! [SX5: $i] :
                                    ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                    | ( SX5 = SY102 )
                                    | ( SX5 = SY103 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[167]) ).

thf(190,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ~ ~ ( ~ ( leaf @ SV10 @ SV30 )
              | ~ ~ ( atomic @ SV30 ) )
        | ~ ! [SY148: $i] :
              ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                  | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(191,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( legal @ SV11 ) )
        = $true )
      | ( ( arboreal @ SV11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[169]) ).

thf(192,plain,
    ! [SV31: $i,SV12: $i] :
      ( ( ! [SY149: $i] :
            ( ~ ~ ( ~ ( occurrence_of @ SV12 @ SY149 )
                  | ~ ( root_occ @ SV31 @ SV12 ) )
            | ~ ~ ! [SY150: $i] :
                    ~ ( min_precedes @ SY150 @ SV31 @ SY149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[170]) ).

thf(193,plain,
    ! [SV32: $i,SV13: $i] :
      ( ( ! [SY151: $i] :
            ( ~ ( min_precedes @ SV13 @ SV32 @ SY151 )
            | ~ ( root @ SV32 @ SY151 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[171]) ).

thf(194,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ~ ( occurrence_of @ SV14 @ SV33 )
        | ~ ( ~ ( ~ ( arboreal @ SV14 )
                | ( atomic @ SV33 ) )
            | ~ ( ~ ( atomic @ SV33 )
                | ( arboreal @ SV14 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[173]) ).

thf(195,plain,
    ! [SV34: $i,SV15: $i] :
      ( ( ! [SY152: $i] :
            ( ~ ~ ( ~ ( occurrence_of @ SV15 @ SY152 )
                  | ~ ( leaf_occ @ SV34 @ SV15 ) )
            | ~ ~ ! [SY153: $i] :
                    ~ ( min_precedes @ SV34 @ SY153 @ SY152 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[174]) ).

thf(196,plain,
    ! [SV35: $i,SV16: $i] :
      ( ( ! [SY154: $i,SY155: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY154 @ SY155 )
                        | ~ ( root_occ @ SV16 @ SY154 ) )
                  | ~ ( root_occ @ SV35 @ SY154 ) )
            | ( SV16 = SV35 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[175]) ).

thf(197,plain,
    ! [SV17: $i,SV36: $i] :
      ( ( ! [SY156: $i,SY157: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                                    | ~ ( arboreal @ SY156 ) )
                              | ~ ( arboreal @ SY157 ) )
                        | ~ ( subactivity_occurrence @ SY156 @ SV36 ) )
                  | ~ ( subactivity_occurrence @ SY157 @ SV36 ) )
            | ( min_precedes @ SY156 @ SY157 @ SV17 )
            | ( min_precedes @ SY157 @ SY156 @ SV17 )
            | ( SY156 = SY157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[176]) ).

thf(198,plain,
    ! [SV37: $i,SV18: $i] :
      ( ( ! [SY158: $i] :
            ( ~ ~ ( ~ ( occurrence_of @ SV18 @ SV37 )
                  | ~ ( occurrence_of @ SV18 @ SY158 ) )
            | ( SV37 = SY158 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[177]) ).

thf(199,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ~ ~ ( ~ ( leaf @ SV19 @ SV38 )
              | ~ ~ ( atomic @ SV38 ) )
        | ~ ! [SY159: $i] :
              ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                  | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[178]) ).

thf(200,plain,
    ! [SV20: $i,SV39: $i] :
      ( ( ! [SY160: $i] :
            ( ~ ( min_precedes @ SV39 @ SY160 @ SV20 )
            | ~ ! [SY161: $i] :
                  ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY161 @ SV20 )
                            | ~ ( subactivity_occurrence @ SV39 @ SY161 ) )
                      | ~ ( subactivity_occurrence @ SY160 @ SY161 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(201,plain,
    ! [SV40: $i,SV21: $i,SV1: $i] :
      ( ( ! [SY162: $i] :
            ( ~ ~ ( ~ ( min_precedes @ SV1 @ SV21 @ SY162 )
                  | ~ ( min_precedes @ SV21 @ SV40 @ SY162 ) )
            | ( min_precedes @ SV1 @ SV40 @ SY162 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[180]) ).

thf(202,plain,
    ! [SV41: $i,SV22: $i,SV2: $i] :
      ( ( ~ ( next_subocc @ SV2 @ SV22 @ SV41 )
        | ~ ( ~ ( arboreal @ SV2 )
            | ~ ( arboreal @ SV22 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[181]) ).

thf(203,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ~ ( ~ ( leaf_occ @ SV3 @ SV23 )
            | ~ ! [SY132: $i] :
                  ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY132 )
                            | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                      | ~ ( leaf @ SV3 @ SY132 ) ) )
        | ~ ( ~ ~ ! [SY133: $i] :
                    ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY133 )
                              | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                        | ~ ( leaf @ SV3 @ SY133 ) )
            | ( leaf_occ @ SV3 @ SV23 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(204,plain,
    ! [SV42: $i,SV24: $i,SV4: $i] :
      ( ( ~ ( min_precedes @ SV4 @ SV24 @ SV42 )
        | ( precedes @ SV4 @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(205,plain,
    ! [SV25: $i,SV5: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV5 @ SV25 ) )
        = $true )
      | ( ( ~ ( ~ ( activity_occurrence @ SV5 )
              | ~ ( activity_occurrence @ SV25 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[184]) ).

thf(206,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ~ ( ~ ( leaf @ SV6 @ SV26 )
            | ~ ( ~ ( ( root @ SV6 @ SV26 )
                    | ~ ! [SY135: $i] :
                          ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
                | ~ ~ ~ ! [SY136: $i] :
                          ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) ) )
        | ~ ( ~ ~ ( ~ ( ( root @ SV6 @ SV26 )
                      | ~ ! [SY137: $i] :
                            ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
                  | ~ ~ ~ ! [SY138: $i] :
                            ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
            | ( leaf @ SV6 @ SV26 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(207,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ~ ( ~ ( ~ ( next_subocc @ SV7 @ SV27 @ SV43 )
                | ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
                    | ~ ~ ~ ! [SY163: $i] :
                              ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                                  | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) ) )
            | ~ ( ~ ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
                      | ~ ~ ~ ! [SY164: $i] :
                                ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                                    | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
                | ( next_subocc @ SV7 @ SV27 @ SV43 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[186]) ).

thf(208,plain,
    ! [SV44: $i] :
      ( ( ~ ~ ! [SY165: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                                      | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                                | ~ ( ( occurrence_of @ SY165 @ tptp2 )
                                    | ( occurrence_of @ SY165 @ tptp1 ) ) )
                          | ~ ( min_precedes @ SV44 @ SY165 @ tptp0 ) )
                    | ~ ( leaf @ SY165 @ tptp0 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[187]) ).

thf(209,plain,
    ! [SV28: $i,SV8: $i,SV45: $i] :
      ( ( ! [SY166: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SY166 )
                              | ~ ~ ( atomic @ SY166 ) )
                        | ~ ( leaf_occ @ SV8 @ SV45 ) )
                  | ~ ( leaf_occ @ SV28 @ SV45 ) )
            | ( SV8 = SV28 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(210,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
                            | ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
                      | ~ ( arboreal @ SV9 ) )
                | ~ ~ ( leaf_occ @ SV9 @ SV29 ) ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(211,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ~ ( ~ ( leaf @ SV10 @ SV30 )
                | ~ ~ ( atomic @ SV30 ) ) )
        = $true )
      | ( ( ~ ! [SY148: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                    | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[190]) ).

thf(212,plain,
    ! [SV11: $i] :
      ( ( ( legal @ SV11 )
        = $false )
      | ( ( arboreal @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(213,plain,
    ! [SV31: $i,SV46: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ( occurrence_of @ SV12 @ SV46 )
              | ~ ( root_occ @ SV31 @ SV12 ) )
        | ~ ~ ! [SY167: $i] :
                ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[192]) ).

thf(214,plain,
    ! [SV47: $i,SV32: $i,SV13: $i] :
      ( ( ~ ( min_precedes @ SV13 @ SV32 @ SV47 )
        | ~ ( root @ SV32 @ SV47 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[193]) ).

thf(215,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ~ ( occurrence_of @ SV14 @ SV33 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( arboreal @ SV14 )
                  | ( atomic @ SV33 ) )
              | ~ ( ~ ( atomic @ SV33 )
                  | ( arboreal @ SV14 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(216,plain,
    ! [SV34: $i,SV48: $i,SV15: $i] :
      ( ( ~ ~ ( ~ ( occurrence_of @ SV15 @ SV48 )
              | ~ ( leaf_occ @ SV34 @ SV15 ) )
        | ~ ~ ! [SY168: $i] :
                ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[195]) ).

thf(217,plain,
    ! [SV35: $i,SV16: $i,SV49: $i] :
      ( ( ! [SY169: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV49 @ SY169 )
                        | ~ ( root_occ @ SV16 @ SV49 ) )
                  | ~ ( root_occ @ SV35 @ SV49 ) )
            | ( SV16 = SV35 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[196]) ).

thf(218,plain,
    ! [SV50: $i,SV17: $i,SV36: $i] :
      ( ( ! [SY170: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                                    | ~ ( arboreal @ SV50 ) )
                              | ~ ( arboreal @ SY170 ) )
                        | ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
                  | ~ ( subactivity_occurrence @ SY170 @ SV36 ) )
            | ( min_precedes @ SV50 @ SY170 @ SV17 )
            | ( min_precedes @ SY170 @ SV50 @ SV17 )
            | ( SV50 = SY170 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[197]) ).

thf(219,plain,
    ! [SV51: $i,SV37: $i,SV18: $i] :
      ( ( ~ ~ ( ~ ( occurrence_of @ SV18 @ SV37 )
              | ~ ( occurrence_of @ SV18 @ SV51 ) )
        | ( SV37 = SV51 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[198]) ).

thf(220,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( leaf @ SV19 @ SV38 )
                | ~ ~ ( atomic @ SV38 ) ) )
        = $true )
      | ( ( ~ ! [SY159: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                    | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[199]) ).

thf(221,plain,
    ! [SV20: $i,SV52: $i,SV39: $i] :
      ( ( ~ ( min_precedes @ SV39 @ SV52 @ SV20 )
        | ~ ! [SY171: $i] :
              ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY171 @ SV20 )
                        | ~ ( subactivity_occurrence @ SV39 @ SY171 ) )
                  | ~ ( subactivity_occurrence @ SV52 @ SY171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[200]) ).

thf(222,plain,
    ! [SV40: $i,SV53: $i,SV21: $i,SV1: $i] :
      ( ( ~ ~ ( ~ ( min_precedes @ SV1 @ SV21 @ SV53 )
              | ~ ( min_precedes @ SV21 @ SV40 @ SV53 ) )
        | ( min_precedes @ SV1 @ SV40 @ SV53 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[201]) ).

thf(223,plain,
    ! [SV41: $i,SV22: $i,SV2: $i] :
      ( ( ( ~ ( next_subocc @ SV2 @ SV22 @ SV41 ) )
        = $true )
      | ( ( ~ ( ~ ( arboreal @ SV2 )
              | ~ ( arboreal @ SV22 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[202]) ).

thf(224,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ~ ( ~ ( leaf_occ @ SV3 @ SV23 )
            | ~ ! [SY132: $i] :
                  ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY132 )
                            | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                      | ~ ( leaf @ SV3 @ SY132 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[203]) ).

thf(225,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ~ ( ~ ~ ! [SY133: $i] :
                    ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY133 )
                              | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                        | ~ ( leaf @ SV3 @ SY133 ) )
            | ( leaf_occ @ SV3 @ SV23 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[203]) ).

thf(226,plain,
    ! [SV42: $i,SV24: $i,SV4: $i] :
      ( ( ( ~ ( min_precedes @ SV4 @ SV24 @ SV42 ) )
        = $true )
      | ( ( precedes @ SV4 @ SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[204]) ).

thf(227,plain,
    ! [SV25: $i,SV5: $i] :
      ( ( ( subactivity_occurrence @ SV5 @ SV25 )
        = $false )
      | ( ( ~ ( ~ ( activity_occurrence @ SV5 )
              | ~ ( activity_occurrence @ SV25 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(228,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ~ ( ~ ( leaf @ SV6 @ SV26 )
            | ~ ( ~ ( ( root @ SV6 @ SV26 )
                    | ~ ! [SY135: $i] :
                          ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
                | ~ ~ ~ ! [SY136: $i] :
                          ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[206]) ).

thf(229,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ( root @ SV6 @ SV26 )
                      | ~ ! [SY137: $i] :
                            ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
                  | ~ ~ ~ ! [SY138: $i] :
                            ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
            | ( leaf @ SV6 @ SV26 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[206]) ).

thf(230,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ~ ( ~ ( next_subocc @ SV7 @ SV27 @ SV43 )
            | ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
                | ~ ~ ~ ! [SY163: $i] :
                          ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                              | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) ) )
        | ~ ( ~ ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
                  | ~ ~ ~ ! [SY164: $i] :
                            ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                                | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
            | ( next_subocc @ SV7 @ SV27 @ SV43 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(231,plain,
    ! [SV44: $i] :
      ( ( ~ ! [SY165: $i] :
              ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                                    | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                              | ~ ( ( occurrence_of @ SY165 @ tptp2 )
                                  | ( occurrence_of @ SY165 @ tptp1 ) ) )
                        | ~ ( min_precedes @ SV44 @ SY165 @ tptp0 ) )
                  | ~ ( leaf @ SY165 @ tptp0 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[208]) ).

thf(232,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
                          | ~ ~ ( atomic @ SV54 ) )
                    | ~ ( leaf_occ @ SV8 @ SV45 ) )
              | ~ ( leaf_occ @ SV28 @ SV45 ) )
        | ( SV8 = SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[209]) ).

thf(233,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
                          | ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
                    | ~ ( arboreal @ SV9 ) )
              | ~ ~ ( leaf_occ @ SV9 @ SV29 ) ) )
        = $false )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(234,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( leaf @ SV10 @ SV30 )
              | ~ ~ ( atomic @ SV30 ) ) )
        = $false )
      | ( ( ~ ! [SY148: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                    | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(235,plain,
    ! [SV31: $i,SV46: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV12 @ SV46 )
                | ~ ( root_occ @ SV31 @ SV12 ) ) )
        = $true )
      | ( ( ~ ~ ! [SY167: $i] :
                  ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[213]) ).

thf(236,plain,
    ! [SV47: $i,SV32: $i,SV13: $i] :
      ( ( ( ~ ( min_precedes @ SV13 @ SV32 @ SV47 ) )
        = $true )
      | ( ( ~ ( root @ SV32 @ SV47 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[214]) ).

thf(237,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( occurrence_of @ SV14 @ SV33 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( arboreal @ SV14 )
                  | ( atomic @ SV33 ) )
              | ~ ( ~ ( atomic @ SV33 )
                  | ( arboreal @ SV14 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(238,plain,
    ! [SV34: $i,SV48: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV15 @ SV48 )
                | ~ ( leaf_occ @ SV34 @ SV15 ) ) )
        = $true )
      | ( ( ~ ~ ! [SY168: $i] :
                  ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[216]) ).

thf(239,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV49 @ SV55 )
                    | ~ ( root_occ @ SV16 @ SV49 ) )
              | ~ ( root_occ @ SV35 @ SV49 ) )
        | ( SV16 = SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(240,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                                | ~ ( arboreal @ SV50 ) )
                          | ~ ( arboreal @ SV56 ) )
                    | ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
              | ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        | ( min_precedes @ SV50 @ SV56 @ SV17 )
        | ( min_precedes @ SV56 @ SV50 @ SV17 )
        | ( SV50 = SV56 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[218]) ).

thf(241,plain,
    ! [SV51: $i,SV37: $i,SV18: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV18 @ SV37 )
                | ~ ( occurrence_of @ SV18 @ SV51 ) ) )
        = $true )
      | ( ( SV37 = SV51 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[219]) ).

thf(242,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( leaf @ SV19 @ SV38 )
              | ~ ~ ( atomic @ SV38 ) ) )
        = $false )
      | ( ( ~ ! [SY159: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                    | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(243,plain,
    ! [SV20: $i,SV52: $i,SV39: $i] :
      ( ( ( ~ ( min_precedes @ SV39 @ SV52 @ SV20 ) )
        = $true )
      | ( ( ~ ! [SY171: $i] :
                ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY171 @ SV20 )
                          | ~ ( subactivity_occurrence @ SV39 @ SY171 ) )
                    | ~ ( subactivity_occurrence @ SV52 @ SY171 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[221]) ).

thf(244,plain,
    ! [SV40: $i,SV53: $i,SV21: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ( min_precedes @ SV1 @ SV21 @ SV53 )
                | ~ ( min_precedes @ SV21 @ SV40 @ SV53 ) ) )
        = $true )
      | ( ( min_precedes @ SV1 @ SV40 @ SV53 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[222]) ).

thf(245,plain,
    ! [SV41: $i,SV22: $i,SV2: $i] :
      ( ( ( next_subocc @ SV2 @ SV22 @ SV41 )
        = $false )
      | ( ( ~ ( ~ ( arboreal @ SV2 )
              | ~ ( arboreal @ SV22 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[223]) ).

thf(246,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ~ ( leaf_occ @ SV3 @ SV23 )
        | ~ ! [SY132: $i] :
              ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY132 )
                        | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                  | ~ ( leaf @ SV3 @ SY132 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[224]) ).

thf(247,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ~ ~ ! [SY133: $i] :
                ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY133 )
                          | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                    | ~ ( leaf @ SV3 @ SY133 ) )
        | ( leaf_occ @ SV3 @ SV23 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[225]) ).

thf(248,plain,
    ! [SV42: $i,SV24: $i,SV4: $i] :
      ( ( ( min_precedes @ SV4 @ SV24 @ SV42 )
        = $false )
      | ( ( precedes @ SV4 @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(249,plain,
    ! [SV25: $i,SV5: $i] :
      ( ( ( ~ ( activity_occurrence @ SV5 )
          | ~ ( activity_occurrence @ SV25 ) )
        = $false )
      | ( ( subactivity_occurrence @ SV5 @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[227]) ).

thf(250,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ~ ( leaf @ SV6 @ SV26 )
        | ~ ( ~ ( ( root @ SV6 @ SV26 )
                | ~ ! [SY135: $i] :
                      ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
            | ~ ~ ~ ! [SY136: $i] :
                      ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[228]) ).

thf(251,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ~ ~ ( ~ ( ( root @ SV6 @ SV26 )
                  | ~ ! [SY137: $i] :
                        ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
              | ~ ~ ~ ! [SY138: $i] :
                        ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        | ( leaf @ SV6 @ SV26 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[229]) ).

thf(252,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ~ ( ~ ( next_subocc @ SV7 @ SV27 @ SV43 )
            | ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
                | ~ ~ ~ ! [SY163: $i] :
                          ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                              | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(253,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ~ ( ~ ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
                  | ~ ~ ~ ! [SY164: $i] :
                            ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                                | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
            | ( next_subocc @ SV7 @ SV27 @ SV43 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(254,plain,
    ! [SV44: $i] :
      ( ( ! [SY165: $i] :
            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                                  | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                            | ~ ( ( occurrence_of @ SY165 @ tptp2 )
                                | ( occurrence_of @ SY165 @ tptp1 ) ) )
                      | ~ ( min_precedes @ SV44 @ SY165 @ tptp0 ) )
                | ~ ( leaf @ SY165 @ tptp0 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[231]) ).

thf(255,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
                            | ~ ~ ( atomic @ SV54 ) )
                      | ~ ( leaf_occ @ SV8 @ SV45 ) )
                | ~ ( leaf_occ @ SV28 @ SV45 ) ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[232]) ).

thf(256,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
                      | ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
                | ~ ( arboreal @ SV9 ) )
          | ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[233]) ).

thf(257,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ( leaf @ SV10 @ SV30 )
          | ~ ~ ( atomic @ SV30 ) )
        = $true )
      | ( ( ~ ! [SY148: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                    | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[234]) ).

thf(258,plain,
    ! [SV31: $i,SV46: $i,SV12: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV12 @ SV46 )
              | ~ ( root_occ @ SV31 @ SV12 ) ) )
        = $false )
      | ( ( ~ ~ ! [SY167: $i] :
                  ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(259,plain,
    ! [SV47: $i,SV32: $i,SV13: $i] :
      ( ( ( min_precedes @ SV13 @ SV32 @ SV47 )
        = $false )
      | ( ( ~ ( root @ SV32 @ SV47 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(260,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ~ ( ~ ( arboreal @ SV14 )
              | ( atomic @ SV33 ) )
          | ~ ( ~ ( atomic @ SV33 )
              | ( arboreal @ SV14 ) ) )
        = $false )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[237]) ).

thf(261,plain,
    ! [SV34: $i,SV48: $i,SV15: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV15 @ SV48 )
              | ~ ( leaf_occ @ SV34 @ SV15 ) ) )
        = $false )
      | ( ( ~ ~ ! [SY168: $i] :
                  ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(262,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV49 @ SV55 )
                      | ~ ( root_occ @ SV16 @ SV49 ) )
                | ~ ( root_occ @ SV35 @ SV49 ) ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[239]) ).

thf(263,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                                  | ~ ( arboreal @ SV50 ) )
                            | ~ ( arboreal @ SV56 ) )
                      | ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
                | ~ ( subactivity_occurrence @ SV56 @ SV36 ) ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[240]) ).

thf(264,plain,
    ! [SV51: $i,SV37: $i,SV18: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV18 @ SV37 )
              | ~ ( occurrence_of @ SV18 @ SV51 ) ) )
        = $false )
      | ( ( SV37 = SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(265,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ( leaf @ SV19 @ SV38 )
          | ~ ~ ( atomic @ SV38 ) )
        = $true )
      | ( ( ~ ! [SY159: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                    | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[242]) ).

thf(266,plain,
    ! [SV20: $i,SV52: $i,SV39: $i] :
      ( ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false )
      | ( ( ~ ! [SY171: $i] :
                ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY171 @ SV20 )
                          | ~ ( subactivity_occurrence @ SV39 @ SY171 ) )
                    | ~ ( subactivity_occurrence @ SV52 @ SY171 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[243]) ).

thf(267,plain,
    ! [SV40: $i,SV53: $i,SV21: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( min_precedes @ SV1 @ SV21 @ SV53 )
              | ~ ( min_precedes @ SV21 @ SV40 @ SV53 ) ) )
        = $false )
      | ( ( min_precedes @ SV1 @ SV40 @ SV53 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[244]) ).

thf(268,plain,
    ! [SV41: $i,SV22: $i,SV2: $i] :
      ( ( ( ~ ( arboreal @ SV2 )
          | ~ ( arboreal @ SV22 ) )
        = $false )
      | ( ( next_subocc @ SV2 @ SV22 @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[245]) ).

thf(269,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( ~ ( leaf_occ @ SV3 @ SV23 ) )
        = $true )
      | ( ( ~ ! [SY132: $i] :
                ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY132 )
                          | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                    | ~ ( leaf @ SV3 @ SY132 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[246]) ).

thf(270,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ~ ! [SY133: $i] :
                  ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY133 )
                            | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                      | ~ ( leaf @ SV3 @ SY133 ) ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[247]) ).

thf(271,plain,
    ! [SV25: $i,SV5: $i] :
      ( ( ( ~ ( activity_occurrence @ SV5 ) )
        = $false )
      | ( ( subactivity_occurrence @ SV5 @ SV25 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[249]) ).

thf(272,plain,
    ! [SV5: $i,SV25: $i] :
      ( ( ( ~ ( activity_occurrence @ SV25 ) )
        = $false )
      | ( ( subactivity_occurrence @ SV5 @ SV25 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[249]) ).

thf(273,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ( leaf @ SV6 @ SV26 ) )
        = $true )
      | ( ( ~ ( ~ ( ( root @ SV6 @ SV26 )
                  | ~ ! [SY135: $i] :
                        ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
              | ~ ~ ~ ! [SY136: $i] :
                        ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[250]) ).

thf(274,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ~ ( ~ ( ( root @ SV6 @ SV26 )
                    | ~ ! [SY137: $i] :
                          ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
                | ~ ~ ~ ! [SY138: $i] :
                          ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[251]) ).

thf(275,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ~ ( next_subocc @ SV7 @ SV27 @ SV43 )
        | ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
            | ~ ~ ~ ! [SY163: $i] :
                      ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                          | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[252]) ).

thf(276,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ~ ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
              | ~ ~ ~ ! [SY164: $i] :
                        ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                            | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
        | ( next_subocc @ SV7 @ SV27 @ SV43 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[253]) ).

thf(277,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                                | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                          | ~ ( ( occurrence_of @ SV57 @ tptp2 )
                              | ( occurrence_of @ SV57 @ tptp1 ) ) )
                    | ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
              | ~ ( leaf @ SV57 @ tptp0 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(278,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
                          | ~ ~ ( atomic @ SV54 ) )
                    | ~ ( leaf_occ @ SV8 @ SV45 ) )
              | ~ ( leaf_occ @ SV28 @ SV45 ) ) )
        = $false )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[255]) ).

thf(279,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
                      | ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
                | ~ ( arboreal @ SV9 ) ) )
        = $true )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[256]) ).

thf(280,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ( leaf @ SV10 @ SV30 ) )
        = $true )
      | ( ( ~ ~ ( atomic @ SV30 ) )
        = $true )
      | ( ( ~ ! [SY148: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                    | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[257]) ).

thf(281,plain,
    ! [SV31: $i,SV46: $i,SV12: $i] :
      ( ( ( ~ ( occurrence_of @ SV12 @ SV46 )
          | ~ ( root_occ @ SV31 @ SV12 ) )
        = $true )
      | ( ( ~ ~ ! [SY167: $i] :
                  ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[258]) ).

thf(282,plain,
    ! [SV13: $i,SV47: $i,SV32: $i] :
      ( ( ( root @ SV32 @ SV47 )
        = $false )
      | ( ( min_precedes @ SV13 @ SV32 @ SV47 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[259]) ).

thf(283,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ~ ( ~ ( arboreal @ SV14 )
              | ( atomic @ SV33 ) ) )
        = $false )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(284,plain,
    ! [SV14: $i,SV33: $i] :
      ( ( ( ~ ( ~ ( atomic @ SV33 )
              | ( arboreal @ SV14 ) ) )
        = $false )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(285,plain,
    ! [SV34: $i,SV48: $i,SV15: $i] :
      ( ( ( ~ ( occurrence_of @ SV15 @ SV48 )
          | ~ ( leaf_occ @ SV34 @ SV15 ) )
        = $true )
      | ( ( ~ ~ ! [SY168: $i] :
                  ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[261]) ).

thf(286,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV49 @ SV55 )
                    | ~ ( root_occ @ SV16 @ SV49 ) )
              | ~ ( root_occ @ SV35 @ SV49 ) ) )
        = $false )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[262]) ).

thf(287,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                                | ~ ( arboreal @ SV50 ) )
                          | ~ ( arboreal @ SV56 ) )
                    | ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
              | ~ ( subactivity_occurrence @ SV56 @ SV36 ) ) )
        = $false )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(288,plain,
    ! [SV51: $i,SV37: $i,SV18: $i] :
      ( ( ( ~ ( occurrence_of @ SV18 @ SV37 )
          | ~ ( occurrence_of @ SV18 @ SV51 ) )
        = $true )
      | ( ( SV37 = SV51 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[264]) ).

thf(289,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ( leaf @ SV19 @ SV38 ) )
        = $true )
      | ( ( ~ ~ ( atomic @ SV38 ) )
        = $true )
      | ( ( ~ ! [SY159: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                    | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[265]) ).

thf(290,plain,
    ! [SV52: $i,SV39: $i,SV20: $i] :
      ( ( ( ! [SY171: $i] :
              ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY171 @ SV20 )
                        | ~ ( subactivity_occurrence @ SV39 @ SY171 ) )
                  | ~ ( subactivity_occurrence @ SV52 @ SY171 ) ) )
        = $false )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[266]) ).

thf(291,plain,
    ! [SV40: $i,SV53: $i,SV21: $i,SV1: $i] :
      ( ( ( ~ ( min_precedes @ SV1 @ SV21 @ SV53 )
          | ~ ( min_precedes @ SV21 @ SV40 @ SV53 ) )
        = $true )
      | ( ( min_precedes @ SV1 @ SV40 @ SV53 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[267]) ).

thf(292,plain,
    ! [SV41: $i,SV22: $i,SV2: $i] :
      ( ( ( ~ ( arboreal @ SV2 ) )
        = $false )
      | ( ( next_subocc @ SV2 @ SV22 @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[268]) ).

thf(293,plain,
    ! [SV41: $i,SV2: $i,SV22: $i] :
      ( ( ( ~ ( arboreal @ SV22 ) )
        = $false )
      | ( ( next_subocc @ SV2 @ SV22 @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[268]) ).

thf(294,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( leaf_occ @ SV3 @ SV23 )
        = $false )
      | ( ( ~ ! [SY132: $i] :
                ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY132 )
                          | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                    | ~ ( leaf @ SV3 @ SY132 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[269]) ).

thf(295,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ! [SY133: $i] :
                ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY133 )
                          | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                    | ~ ( leaf @ SV3 @ SY133 ) ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[270]) ).

thf(296,plain,
    ! [SV25: $i,SV5: $i] :
      ( ( ( activity_occurrence @ SV5 )
        = $true )
      | ( ( subactivity_occurrence @ SV5 @ SV25 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[271]) ).

thf(297,plain,
    ! [SV5: $i,SV25: $i] :
      ( ( ( activity_occurrence @ SV25 )
        = $true )
      | ( ( subactivity_occurrence @ SV5 @ SV25 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[272]) ).

thf(298,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( leaf @ SV6 @ SV26 )
        = $false )
      | ( ( ~ ( ~ ( ( root @ SV6 @ SV26 )
                  | ~ ! [SY135: $i] :
                        ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
              | ~ ~ ~ ! [SY136: $i] :
                        ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[273]) ).

thf(299,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ( ~ ( ( root @ SV6 @ SV26 )
                  | ~ ! [SY137: $i] :
                        ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
              | ~ ~ ~ ! [SY138: $i] :
                        ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) ) )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[274]) ).

thf(300,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( next_subocc @ SV7 @ SV27 @ SV43 ) )
        = $true )
      | ( ( ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
              | ~ ~ ~ ! [SY163: $i] :
                        ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                            | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[275]) ).

thf(301,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
                | ~ ~ ~ ! [SY164: $i] :
                          ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                              | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[276]) ).

thf(302,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                              | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                        | ~ ( ( occurrence_of @ SV57 @ tptp2 )
                            | ( occurrence_of @ SV57 @ tptp1 ) ) )
                  | ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
            | ~ ( leaf @ SV57 @ tptp0 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[277]) ).

thf(303,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
                      | ~ ~ ( atomic @ SV54 ) )
                | ~ ( leaf_occ @ SV8 @ SV45 ) )
          | ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[278]) ).

thf(304,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
                    | ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
              | ~ ( arboreal @ SV9 ) ) )
        = $false )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[279]) ).

thf(305,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( ~ ~ ( atomic @ SV30 ) )
        = $true )
      | ( ( ~ ! [SY148: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                    | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(306,plain,
    ! [SV31: $i,SV46: $i,SV12: $i] :
      ( ( ( ~ ( occurrence_of @ SV12 @ SV46 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV31 @ SV12 ) )
        = $true )
      | ( ( ~ ~ ! [SY167: $i] :
                  ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[281]) ).

thf(307,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ~ ( arboreal @ SV14 )
          | ( atomic @ SV33 ) )
        = $true )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[283]) ).

thf(308,plain,
    ! [SV14: $i,SV33: $i] :
      ( ( ( ~ ( atomic @ SV33 )
          | ( arboreal @ SV14 ) )
        = $true )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[284]) ).

thf(309,plain,
    ! [SV34: $i,SV48: $i,SV15: $i] :
      ( ( ( ~ ( occurrence_of @ SV15 @ SV48 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV34 @ SV15 ) )
        = $true )
      | ( ( ~ ~ ! [SY168: $i] :
                  ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[285]) ).

thf(310,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV49 @ SV55 )
                | ~ ( root_occ @ SV16 @ SV49 ) )
          | ~ ( root_occ @ SV35 @ SV49 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[286]) ).

thf(311,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                            | ~ ( arboreal @ SV50 ) )
                      | ~ ( arboreal @ SV56 ) )
                | ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
          | ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[287]) ).

thf(312,plain,
    ! [SV51: $i,SV37: $i,SV18: $i] :
      ( ( ( ~ ( occurrence_of @ SV18 @ SV37 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV18 @ SV51 ) )
        = $true )
      | ( ( SV37 = SV51 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(313,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( ~ ~ ( atomic @ SV38 ) )
        = $true )
      | ( ( ~ ! [SY159: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                    | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[289]) ).

thf(314,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) @ SV20 )
                      | ~ ( subactivity_occurrence @ SV39 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) )
                | ~ ( subactivity_occurrence @ SV52 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) ) )
        = $false )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[290]) ).

thf(315,plain,
    ! [SV40: $i,SV53: $i,SV21: $i,SV1: $i] :
      ( ( ( ~ ( min_precedes @ SV1 @ SV21 @ SV53 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV21 @ SV40 @ SV53 ) )
        = $true )
      | ( ( min_precedes @ SV1 @ SV40 @ SV53 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[291]) ).

thf(316,plain,
    ! [SV41: $i,SV22: $i,SV2: $i] :
      ( ( ( arboreal @ SV2 )
        = $true )
      | ( ( next_subocc @ SV2 @ SV22 @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[292]) ).

thf(317,plain,
    ! [SV41: $i,SV2: $i,SV22: $i] :
      ( ( ( arboreal @ SV22 )
        = $true )
      | ( ( next_subocc @ SV2 @ SV22 @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[293]) ).

thf(318,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ! [SY132: $i] :
              ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY132 )
                        | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                  | ~ ( leaf @ SV3 @ SY132 ) ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[294]) ).

thf(319,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ! [SY133: $i] :
              ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SY133 )
                        | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                  | ~ ( leaf @ SV3 @ SY133 ) ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[295]) ).

thf(320,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ( ( root @ SV6 @ SV26 )
              | ~ ! [SY135: $i] :
                    ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
          | ~ ~ ~ ! [SY136: $i] :
                    ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[298]) ).

thf(321,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ( ( root @ SV6 @ SV26 )
              | ~ ! [SY137: $i] :
                    ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
          | ~ ~ ~ ! [SY138: $i] :
                    ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[299]) ).

thf(322,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
              | ~ ~ ~ ! [SY163: $i] :
                        ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                            | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[300]) ).

thf(323,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
              | ~ ~ ~ ! [SY164: $i] :
                        ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                            | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) ) )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[301]) ).

thf(324,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                          | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                    | ~ ( ( occurrence_of @ SV57 @ tptp2 )
                        | ( occurrence_of @ SV57 @ tptp1 ) ) )
              | ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        | ~ ( leaf @ SV57 @ tptp0 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[302]) ).

thf(325,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
                      | ~ ~ ( atomic @ SV54 ) )
                | ~ ( leaf_occ @ SV8 @ SV45 ) ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[303]) ).

thf(326,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
                | ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
          | ~ ( arboreal @ SV9 ) )
        = $true )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[304]) ).

thf(327,plain,
    ! [SV10: $i,SV30: $i] :
      ( ( ( ~ ( atomic @ SV30 ) )
        = $false )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( ~ ! [SY148: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                    | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[305]) ).

thf(328,plain,
    ! [SV31: $i,SV46: $i,SV12: $i] :
      ( ( ( occurrence_of @ SV12 @ SV46 )
        = $false )
      | ( ( ~ ( root_occ @ SV31 @ SV12 ) )
        = $true )
      | ( ( ~ ~ ! [SY167: $i] :
                  ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[306]) ).

thf(329,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ~ ( arboreal @ SV14 ) )
        = $true )
      | ( ( atomic @ SV33 )
        = $true )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[307]) ).

thf(330,plain,
    ! [SV14: $i,SV33: $i] :
      ( ( ( ~ ( atomic @ SV33 ) )
        = $true )
      | ( ( arboreal @ SV14 )
        = $true )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[308]) ).

thf(331,plain,
    ! [SV34: $i,SV48: $i,SV15: $i] :
      ( ( ( occurrence_of @ SV15 @ SV48 )
        = $false )
      | ( ( ~ ( leaf_occ @ SV34 @ SV15 ) )
        = $true )
      | ( ( ~ ~ ! [SY168: $i] :
                  ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[309]) ).

thf(332,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV49 @ SV55 )
                | ~ ( root_occ @ SV16 @ SV49 ) ) )
        = $true )
      | ( ( ~ ( root_occ @ SV35 @ SV49 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[310]) ).

thf(333,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                            | ~ ( arboreal @ SV50 ) )
                      | ~ ( arboreal @ SV56 ) )
                | ~ ( subactivity_occurrence @ SV50 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[311]) ).

thf(334,plain,
    ! [SV51: $i,SV37: $i,SV18: $i] :
      ( ( ( occurrence_of @ SV18 @ SV37 )
        = $false )
      | ( ( ~ ( occurrence_of @ SV18 @ SV51 ) )
        = $true )
      | ( ( SV37 = SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[312]) ).

thf(335,plain,
    ! [SV19: $i,SV38: $i] :
      ( ( ( ~ ( atomic @ SV38 ) )
        = $false )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( ~ ! [SY159: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                    | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[313]) ).

thf(336,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) @ SV20 )
                    | ~ ( subactivity_occurrence @ SV39 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) )
              | ~ ( subactivity_occurrence @ SV52 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[314]) ).

thf(337,plain,
    ! [SV40: $i,SV53: $i,SV21: $i,SV1: $i] :
      ( ( ( min_precedes @ SV1 @ SV21 @ SV53 )
        = $false )
      | ( ( ~ ( min_precedes @ SV21 @ SV40 @ SV53 ) )
        = $true )
      | ( ( min_precedes @ SV1 @ SV40 @ SV53 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[315]) ).

thf(338,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ ( sK4_SY132 @ SV3 @ SV23 ) )
                      | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                | ~ ( leaf @ SV3 @ ( sK4_SY132 @ SV3 @ SV23 ) ) ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[318]) ).

thf(339,plain,
    ! [SV3: $i,SV58: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SV58 )
                      | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
                | ~ ( leaf @ SV3 @ SV58 ) ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(340,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ( ( root @ SV6 @ SV26 )
              | ~ ! [SY135: $i] :
                    ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) ) )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[320]) ).

thf(341,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ~ ~ ! [SY136: $i] :
                    ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[320]) ).

thf(342,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ( ( root @ SV6 @ SV26 )
              | ~ ! [SY137: $i] :
                    ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) ) )
        = $true )
      | ( ( ~ ~ ~ ! [SY138: $i] :
                    ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[321]) ).

thf(343,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
          | ~ ~ ~ ! [SY163: $i] :
                    ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                        | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[322]) ).

thf(344,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 )
          | ~ ~ ~ ! [SY164: $i] :
                    ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                        | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[323]) ).

thf(345,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                            | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                      | ~ ( ( occurrence_of @ SV57 @ tptp2 )
                          | ( occurrence_of @ SV57 @ tptp1 ) ) )
                | ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(346,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
                    | ~ ~ ( atomic @ SV54 ) )
              | ~ ( leaf_occ @ SV8 @ SV45 ) ) )
        = $false )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(347,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
                | ~ ( subactivity_occurrence @ SV9 @ SV29 ) ) )
        = $true )
      | ( ( ~ ( arboreal @ SV9 ) )
        = $true )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[326]) ).

thf(348,plain,
    ! [SV10: $i,SV30: $i] :
      ( ( ( atomic @ SV30 )
        = $true )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( ~ ! [SY148: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                    | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[327]) ).

thf(349,plain,
    ! [SV46: $i,SV12: $i,SV31: $i] :
      ( ( ( root_occ @ SV31 @ SV12 )
        = $false )
      | ( ( occurrence_of @ SV12 @ SV46 )
        = $false )
      | ( ( ~ ~ ! [SY167: $i] :
                  ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[328]) ).

thf(350,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( arboreal @ SV14 )
        = $false )
      | ( ( atomic @ SV33 )
        = $true )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[329]) ).

thf(351,plain,
    ! [SV14: $i,SV33: $i] :
      ( ( ( atomic @ SV33 )
        = $false )
      | ( ( arboreal @ SV14 )
        = $true )
      | ( ( occurrence_of @ SV14 @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[330]) ).

thf(352,plain,
    ! [SV48: $i,SV15: $i,SV34: $i] :
      ( ( ( leaf_occ @ SV34 @ SV15 )
        = $false )
      | ( ( occurrence_of @ SV15 @ SV48 )
        = $false )
      | ( ( ~ ~ ! [SY168: $i] :
                  ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(353,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV49 @ SV55 )
              | ~ ( root_occ @ SV16 @ SV49 ) ) )
        = $false )
      | ( ( ~ ( root_occ @ SV35 @ SV49 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[332]) ).

thf(354,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                          | ~ ( arboreal @ SV50 ) )
                    | ~ ( arboreal @ SV56 ) )
              | ~ ( subactivity_occurrence @ SV50 @ SV36 ) ) )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[333]) ).

thf(355,plain,
    ! [SV37: $i,SV51: $i,SV18: $i] :
      ( ( ( occurrence_of @ SV18 @ SV51 )
        = $false )
      | ( ( occurrence_of @ SV18 @ SV37 )
        = $false )
      | ( ( SV37 = SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[334]) ).

thf(356,plain,
    ! [SV19: $i,SV38: $i] :
      ( ( ( atomic @ SV38 )
        = $true )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( ~ ! [SY159: $i] :
                ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                    | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[335]) ).

thf(357,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) @ SV20 )
                | ~ ( subactivity_occurrence @ SV39 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) )
          | ~ ( subactivity_occurrence @ SV52 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) )
        = $false )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[336]) ).

thf(358,plain,
    ! [SV1: $i,SV53: $i,SV40: $i,SV21: $i] :
      ( ( ( min_precedes @ SV21 @ SV40 @ SV53 )
        = $false )
      | ( ( min_precedes @ SV1 @ SV21 @ SV53 )
        = $false )
      | ( ( min_precedes @ SV1 @ SV40 @ SV53 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[337]) ).

thf(359,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ ( sK4_SY132 @ SV3 @ SV23 ) )
                    | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
              | ~ ( leaf @ SV3 @ ( sK4_SY132 @ SV3 @ SV23 ) ) ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[338]) ).

thf(360,plain,
    ! [SV3: $i,SV58: $i,SV23: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SV58 )
                    | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
              | ~ ( leaf @ SV3 @ SV58 ) ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[339]) ).

thf(361,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ( root @ SV6 @ SV26 )
          | ~ ! [SY135: $i] :
                ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[340]) ).

thf(362,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ~ ! [SY136: $i] :
                  ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[341]) ).

thf(363,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ( root @ SV6 @ SV26 )
          | ~ ! [SY137: $i] :
                ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
        = $false )
      | ( ( ~ ~ ~ ! [SY138: $i] :
                    ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[342]) ).

thf(364,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 ) )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[343]) ).

thf(365,plain,
    ! [SV27: $i,SV43: $i,SV7: $i] :
      ( ( ( ~ ~ ~ ! [SY163: $i] :
                    ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                        | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[343]) ).

thf(366,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( min_precedes @ SV7 @ SV27 @ SV43 ) )
        = $true )
      | ( ( ~ ~ ~ ! [SY164: $i] :
                    ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                        | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[344]) ).

thf(367,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                          | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                    | ~ ( ( occurrence_of @ SV57 @ tptp2 )
                        | ( occurrence_of @ SV57 @ tptp1 ) ) )
              | ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) ) )
        = $false )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[345]) ).

thf(368,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
                | ~ ~ ( atomic @ SV54 ) )
          | ~ ( leaf_occ @ SV8 @ SV45 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[346]) ).

thf(369,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV29 @ tptp0 )
              | ~ ( subactivity_occurrence @ SV9 @ SV29 ) ) )
        = $false )
      | ( ( ~ ( arboreal @ SV9 ) )
        = $true )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(370,plain,
    ! [SV10: $i,SV30: $i] :
      ( ( ( ! [SY148: $i] :
              ~ ~ ( ~ ( occurrence_of @ SY148 @ SV30 )
                  | ~ ( leaf_occ @ SV10 @ SY148 ) ) )
        = $false )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( atomic @ SV30 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(371,plain,
    ! [SV12: $i,SV46: $i,SV31: $i] :
      ( ( ( ~ ! [SY167: $i] :
                ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
        = $false )
      | ( ( occurrence_of @ SV12 @ SV46 )
        = $false )
      | ( ( root_occ @ SV31 @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[349]) ).

thf(372,plain,
    ! [SV15: $i,SV48: $i,SV34: $i] :
      ( ( ( ~ ! [SY168: $i] :
                ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
        = $false )
      | ( ( occurrence_of @ SV15 @ SV48 )
        = $false )
      | ( ( leaf_occ @ SV34 @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(373,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ( ~ ( occurrence_of @ SV49 @ SV55 )
          | ~ ( root_occ @ SV16 @ SV49 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV35 @ SV49 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[353]) ).

thf(374,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                      | ~ ( arboreal @ SV50 ) )
                | ~ ( arboreal @ SV56 ) )
          | ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[354]) ).

thf(375,plain,
    ! [SV19: $i,SV38: $i] :
      ( ( ( ! [SY159: $i] :
              ~ ~ ( ~ ( occurrence_of @ SY159 @ SV38 )
                  | ~ ( leaf_occ @ SV19 @ SY159 ) ) )
        = $false )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( atomic @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(376,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) @ SV20 )
                | ~ ( subactivity_occurrence @ SV39 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) ) )
        = $false )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[357]) ).

thf(377,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV52 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) )
        = $false )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[357]) ).

thf(378,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV23 @ ( sK4_SY132 @ SV3 @ SV23 ) )
                | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
          | ~ ( leaf @ SV3 @ ( sK4_SY132 @ SV3 @ SV23 ) ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(379,plain,
    ! [SV3: $i,SV58: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SV58 )
                | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
          | ~ ( leaf @ SV3 @ SV58 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[360]) ).

thf(380,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( root @ SV6 @ SV26 )
        = $true )
      | ( ( ~ ! [SY135: $i] :
                ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[361]) ).

thf(381,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ! [SY136: $i] :
                ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(382,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( root @ SV6 @ SV26 )
        = $false )
      | ( ( ~ ~ ~ ! [SY138: $i] :
                    ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[363]) ).

thf(383,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ! [SY137: $i] :
                ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
        = $false )
      | ( ( ~ ~ ~ ! [SY138: $i] :
                    ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[363]) ).

thf(384,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(385,plain,
    ! [SV27: $i,SV43: $i,SV7: $i] :
      ( ( ( ~ ~ ! [SY163: $i] :
                  ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                      | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[365]) ).

thf(386,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( ~ ~ ~ ! [SY164: $i] :
                    ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                        | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(387,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                      | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                | ~ ( ( occurrence_of @ SV57 @ tptp2 )
                    | ( occurrence_of @ SV57 @ tptp1 ) ) )
          | ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[367]) ).

thf(388,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
                | ~ ~ ( atomic @ SV54 ) ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV8 @ SV45 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[368]) ).

thf(389,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( occurrence_of @ SV29 @ tptp0 )
          | ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV9 ) )
        = $true )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[369]) ).

thf(390,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK5_SY148 @ SV10 @ SV30 ) @ SV30 )
                | ~ ( leaf_occ @ SV10 @ ( sK5_SY148 @ SV10 @ SV30 ) ) ) )
        = $false )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( atomic @ SV30 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[370]) ).

thf(391,plain,
    ! [SV12: $i,SV46: $i,SV31: $i] :
      ( ( ( ! [SY167: $i] :
              ~ ( min_precedes @ SY167 @ SV31 @ SV46 ) )
        = $true )
      | ( ( occurrence_of @ SV12 @ SV46 )
        = $false )
      | ( ( root_occ @ SV31 @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[371]) ).

thf(392,plain,
    ! [SV15: $i,SV48: $i,SV34: $i] :
      ( ( ( ! [SY168: $i] :
              ~ ( min_precedes @ SV34 @ SY168 @ SV48 ) )
        = $true )
      | ( ( occurrence_of @ SV15 @ SV48 )
        = $false )
      | ( ( leaf_occ @ SV34 @ SV15 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[372]) ).

thf(393,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ( ~ ( occurrence_of @ SV49 @ SV55 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV16 @ SV49 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV35 @ SV49 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[373]) ).

thf(394,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                      | ~ ( arboreal @ SV50 ) )
                | ~ ( arboreal @ SV56 ) ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[374]) ).

thf(395,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK6_SY159 @ SV19 @ SV38 ) @ SV38 )
                | ~ ( leaf_occ @ SV19 @ ( sK6_SY159 @ SV19 @ SV38 ) ) ) )
        = $false )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( atomic @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[375]) ).

thf(396,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) @ SV20 )
              | ~ ( subactivity_occurrence @ SV39 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[376]) ).

thf(397,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( subactivity_occurrence @ SV52 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[377]) ).

thf(398,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV23 @ ( sK4_SY132 @ SV3 @ SV23 ) )
                | ~ ( subactivity_occurrence @ SV3 @ SV23 ) ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[378]) ).

thf(399,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( ~ ( leaf @ SV3 @ ( sK4_SY132 @ SV3 @ SV23 ) ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[378]) ).

thf(400,plain,
    ! [SV3: $i,SV58: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV23 @ SV58 )
                | ~ ( subactivity_occurrence @ SV3 @ SV23 ) ) )
        = $true )
      | ( ( ~ ( leaf @ SV3 @ SV58 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[379]) ).

thf(401,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ! [SY135: $i] :
              ~ ( min_precedes @ SY135 @ SV6 @ SV26 ) )
        = $false )
      | ( ( root @ SV6 @ SV26 )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[380]) ).

thf(402,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ! [SY136: $i] :
              ~ ( min_precedes @ SV6 @ SY136 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[381]) ).

thf(403,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ~ ! [SY138: $i] :
                  ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $false )
      | ( ( root @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[382]) ).

thf(404,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ! [SY137: $i] :
              ~ ( min_precedes @ SY137 @ SV6 @ SV26 ) )
        = $true )
      | ( ( ~ ~ ~ ! [SY138: $i] :
                    ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[383]) ).

thf(405,plain,
    ! [SV27: $i,SV43: $i,SV7: $i] :
      ( ( ( ~ ! [SY163: $i] :
                ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                    | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[385]) ).

thf(406,plain,
    ! [SV27: $i,SV43: $i,SV7: $i] :
      ( ( ( ~ ~ ! [SY164: $i] :
                  ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                      | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
        = $false )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[386]) ).

thf(407,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                      | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
                | ~ ( ( occurrence_of @ SV57 @ tptp2 )
                    | ( occurrence_of @ SV57 @ tptp1 ) ) ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(408,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV45 @ SV54 )
              | ~ ~ ( atomic @ SV54 ) ) )
        = $false )
      | ( ( ~ ( leaf_occ @ SV8 @ SV45 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(409,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( occurrence_of @ SV29 @ tptp0 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV9 ) )
        = $true )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[389]) ).

thf(410,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ ( sK5_SY148 @ SV10 @ SV30 ) @ SV30 )
              | ~ ( leaf_occ @ SV10 @ ( sK5_SY148 @ SV10 @ SV30 ) ) ) )
        = $true )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( atomic @ SV30 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[390]) ).

thf(411,plain,
    ! [SV12: $i,SV46: $i,SV31: $i,SV59: $i] :
      ( ( ( ~ ( min_precedes @ SV59 @ SV31 @ SV46 ) )
        = $true )
      | ( ( occurrence_of @ SV12 @ SV46 )
        = $false )
      | ( ( root_occ @ SV31 @ SV12 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[391]) ).

thf(412,plain,
    ! [SV15: $i,SV48: $i,SV60: $i,SV34: $i] :
      ( ( ( ~ ( min_precedes @ SV34 @ SV60 @ SV48 ) )
        = $true )
      | ( ( occurrence_of @ SV15 @ SV48 )
        = $false )
      | ( ( leaf_occ @ SV34 @ SV15 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(413,plain,
    ! [SV35: $i,SV16: $i,SV55: $i,SV49: $i] :
      ( ( ( occurrence_of @ SV49 @ SV55 )
        = $false )
      | ( ( ~ ( root_occ @ SV16 @ SV49 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV35 @ SV49 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(414,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                    | ~ ( arboreal @ SV50 ) )
              | ~ ( arboreal @ SV56 ) ) )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(415,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ ( sK6_SY159 @ SV19 @ SV38 ) @ SV38 )
              | ~ ( leaf_occ @ SV19 @ ( sK6_SY159 @ SV19 @ SV38 ) ) ) )
        = $true )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( atomic @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[395]) ).

thf(416,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) @ SV20 )
          | ~ ( subactivity_occurrence @ SV39 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) )
        = $false )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[396]) ).

thf(417,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV23 @ ( sK4_SY132 @ SV3 @ SV23 ) )
              | ~ ( subactivity_occurrence @ SV3 @ SV23 ) ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[398]) ).

thf(418,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( leaf @ SV3 @ ( sK4_SY132 @ SV3 @ SV23 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[399]) ).

thf(419,plain,
    ! [SV3: $i,SV58: $i,SV23: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV23 @ SV58 )
              | ~ ( subactivity_occurrence @ SV3 @ SV23 ) ) )
        = $false )
      | ( ( ~ ( leaf @ SV3 @ SV58 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[400]) ).

thf(420,plain,
    ! [SV6: $i,SV26: $i] :
      ( ( ( ~ ( min_precedes @ ( sK7_SY135 @ SV26 @ SV6 ) @ SV6 @ SV26 ) )
        = $false )
      | ( ( root @ SV6 @ SV26 )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[401]) ).

thf(421,plain,
    ! [SV26: $i,SV61: $i,SV6: $i] :
      ( ( ( ~ ( min_precedes @ SV6 @ SV61 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(422,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ! [SY138: $i] :
                ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( root @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[403]) ).

thf(423,plain,
    ! [SV26: $i,SV6: $i,SV62: $i] :
      ( ( ( ~ ( min_precedes @ SV62 @ SV6 @ SV26 ) )
        = $true )
      | ( ( ~ ~ ~ ! [SY138: $i] :
                    ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(424,plain,
    ! [SV27: $i,SV43: $i,SV7: $i] :
      ( ( ( ! [SY163: $i] :
              ~ ~ ( ~ ( min_precedes @ SV7 @ SY163 @ SV43 )
                  | ~ ( min_precedes @ SY163 @ SV27 @ SV43 ) ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[405]) ).

thf(425,plain,
    ! [SV27: $i,SV43: $i,SV7: $i] :
      ( ( ( ~ ! [SY164: $i] :
                ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                    | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
        = $true )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[406]) ).

thf(426,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                    | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
              | ~ ( ( occurrence_of @ SV57 @ tptp2 )
                  | ( occurrence_of @ SV57 @ tptp1 ) ) ) )
        = $false )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(427,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ( occurrence_of @ SV45 @ SV54 )
          | ~ ~ ( atomic @ SV54 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV8 @ SV45 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[408]) ).

thf(428,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV9 ) )
        = $true )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[409]) ).

thf(429,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK5_SY148 @ SV10 @ SV30 ) @ SV30 )
          | ~ ( leaf_occ @ SV10 @ ( sK5_SY148 @ SV10 @ SV30 ) ) )
        = $false )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( atomic @ SV30 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[410]) ).

thf(430,plain,
    ! [SV12: $i,SV46: $i,SV31: $i,SV59: $i] :
      ( ( ( min_precedes @ SV59 @ SV31 @ SV46 )
        = $false )
      | ( ( occurrence_of @ SV12 @ SV46 )
        = $false )
      | ( ( root_occ @ SV31 @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[411]) ).

thf(431,plain,
    ! [SV15: $i,SV48: $i,SV60: $i,SV34: $i] :
      ( ( ( min_precedes @ SV34 @ SV60 @ SV48 )
        = $false )
      | ( ( occurrence_of @ SV15 @ SV48 )
        = $false )
      | ( ( leaf_occ @ SV34 @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(432,plain,
    ! [SV35: $i,SV55: $i,SV49: $i,SV16: $i] :
      ( ( ( root_occ @ SV16 @ SV49 )
        = $false )
      | ( ( occurrence_of @ SV49 @ SV55 )
        = $false )
      | ( ( ~ ( root_occ @ SV35 @ SV49 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[413]) ).

thf(433,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                | ~ ( arboreal @ SV50 ) )
          | ~ ( arboreal @ SV56 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[414]) ).

thf(434,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK6_SY159 @ SV19 @ SV38 ) @ SV38 )
          | ~ ( leaf_occ @ SV19 @ ( sK6_SY159 @ SV19 @ SV38 ) ) )
        = $false )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( atomic @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[415]) ).

thf(435,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) @ SV20 ) )
        = $false )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[416]) ).

thf(436,plain,
    ! [SV20: $i,SV52: $i,SV39: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV39 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) ) )
        = $false )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[416]) ).

thf(437,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ( occurrence_of @ SV23 @ ( sK4_SY132 @ SV3 @ SV23 ) )
          | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(438,plain,
    ! [SV3: $i,SV58: $i,SV23: $i] :
      ( ( ( ~ ( occurrence_of @ SV23 @ SV58 )
          | ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
        = $true )
      | ( ( ~ ( leaf @ SV3 @ SV58 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[419]) ).

thf(439,plain,
    ! [SV6: $i,SV26: $i] :
      ( ( ( min_precedes @ ( sK7_SY135 @ SV26 @ SV6 ) @ SV6 @ SV26 )
        = $true )
      | ( ( root @ SV6 @ SV26 )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[420]) ).

thf(440,plain,
    ! [SV26: $i,SV61: $i,SV6: $i] :
      ( ( ( min_precedes @ SV6 @ SV61 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(441,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ! [SY138: $i] :
              ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $false )
      | ( ( root @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[422]) ).

thf(442,plain,
    ! [SV26: $i,SV6: $i,SV62: $i] :
      ( ( ( min_precedes @ SV62 @ SV6 @ SV26 )
        = $false )
      | ( ( ~ ~ ~ ! [SY138: $i] :
                    ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(443,plain,
    ! [SV27: $i,SV43: $i,SV63: $i,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( min_precedes @ SV7 @ SV63 @ SV43 )
                | ~ ( min_precedes @ SV63 @ SV27 @ SV43 ) ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(444,plain,
    ! [SV27: $i,SV43: $i,SV7: $i] :
      ( ( ( ! [SY164: $i] :
              ~ ~ ( ~ ( min_precedes @ SV7 @ SY164 @ SV43 )
                  | ~ ( min_precedes @ SY164 @ SV27 @ SV43 ) ) )
        = $false )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(445,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
          | ~ ( ( occurrence_of @ SV57 @ tptp2 )
              | ( occurrence_of @ SV57 @ tptp1 ) ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[426]) ).

thf(446,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( ~ ( occurrence_of @ SV45 @ SV54 ) )
        = $true )
      | ( ( ~ ~ ( atomic @ SV54 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV8 @ SV45 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[427]) ).

thf(447,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( ~ ( arboreal @ SV9 ) )
        = $true )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[428]) ).

thf(448,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK5_SY148 @ SV10 @ SV30 ) @ SV30 ) )
        = $false )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( atomic @ SV30 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[429]) ).

thf(449,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( ~ ( leaf_occ @ SV10 @ ( sK5_SY148 @ SV10 @ SV30 ) ) )
        = $false )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( atomic @ SV30 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[429]) ).

thf(450,plain,
    ! [SV16: $i,SV55: $i,SV49: $i,SV35: $i] :
      ( ( ( root_occ @ SV35 @ SV49 )
        = $false )
      | ( ( occurrence_of @ SV49 @ SV55 )
        = $false )
      | ( ( root_occ @ SV16 @ SV49 )
        = $false )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(451,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
                | ~ ( arboreal @ SV50 ) ) )
        = $true )
      | ( ( ~ ( arboreal @ SV56 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[433]) ).

thf(452,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK6_SY159 @ SV19 @ SV38 ) @ SV38 ) )
        = $false )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( atomic @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(453,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( ~ ( leaf_occ @ SV19 @ ( sK6_SY159 @ SV19 @ SV38 ) ) )
        = $false )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( atomic @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(454,plain,
    ! [SV20: $i,SV39: $i,SV52: $i] :
      ( ( ( occurrence_of @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) @ SV20 )
        = $true )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[435]) ).

thf(455,plain,
    ! [SV20: $i,SV52: $i,SV39: $i] :
      ( ( ( subactivity_occurrence @ SV39 @ ( sK3_SY171 @ SV52 @ SV39 @ SV20 ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV52 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[436]) ).

thf(456,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( ~ ( occurrence_of @ SV23 @ ( sK4_SY132 @ SV3 @ SV23 ) ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[437]) ).

thf(457,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[437]) ).

thf(458,plain,
    ! [SV3: $i,SV58: $i,SV23: $i] :
      ( ( ( ~ ( occurrence_of @ SV23 @ SV58 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
        = $true )
      | ( ( ~ ( leaf @ SV3 @ SV58 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[438]) ).

thf(459,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( ~ ( min_precedes @ SV6 @ ( sK8_SY138 @ SV26 @ SV6 ) @ SV26 ) )
        = $false )
      | ( ( root @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[441]) ).

thf(460,plain,
    ! [SV62: $i,SV26: $i,SV6: $i] :
      ( ( ( ~ ~ ! [SY138: $i] :
                  ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $false )
      | ( ( min_precedes @ SV62 @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(461,plain,
    ! [SV27: $i,SV43: $i,SV63: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( min_precedes @ SV7 @ SV63 @ SV43 )
              | ~ ( min_precedes @ SV63 @ SV27 @ SV43 ) ) )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(462,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( min_precedes @ SV7 @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV43 )
                | ~ ( min_precedes @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV27 @ SV43 ) ) )
        = $false )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[444]) ).

thf(463,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
                | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) ) )
        = $true )
      | ( ( ~ ( ( occurrence_of @ SV57 @ tptp2 )
              | ( occurrence_of @ SV57 @ tptp1 ) ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[445]) ).

thf(464,plain,
    ! [SV28: $i,SV8: $i,SV54: $i,SV45: $i] :
      ( ( ( occurrence_of @ SV45 @ SV54 )
        = $false )
      | ( ( ~ ~ ( atomic @ SV54 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV8 @ SV45 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(465,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( ~ ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $true )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(466,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( occurrence_of @ ( sK5_SY148 @ SV10 @ SV30 ) @ SV30 )
        = $true )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( atomic @ SV30 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[448]) ).

thf(467,plain,
    ! [SV30: $i,SV10: $i] :
      ( ( ( leaf_occ @ SV10 @ ( sK5_SY148 @ SV10 @ SV30 ) )
        = $true )
      | ( ( leaf @ SV10 @ SV30 )
        = $false )
      | ( ( atomic @ SV30 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[449]) ).

thf(468,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV36 @ SV17 )
              | ~ ( arboreal @ SV50 ) ) )
        = $false )
      | ( ( ~ ( arboreal @ SV56 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(469,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( occurrence_of @ ( sK6_SY159 @ SV19 @ SV38 ) @ SV38 )
        = $true )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( atomic @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[452]) ).

thf(470,plain,
    ! [SV38: $i,SV19: $i] :
      ( ( ( leaf_occ @ SV19 @ ( sK6_SY159 @ SV19 @ SV38 ) )
        = $true )
      | ( ( leaf @ SV19 @ SV38 )
        = $false )
      | ( ( atomic @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[453]) ).

thf(471,plain,
    ! [SV3: $i,SV23: $i] :
      ( ( ( occurrence_of @ SV23 @ ( sK4_SY132 @ SV3 @ SV23 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[456]) ).

thf(472,plain,
    ! [SV23: $i,SV3: $i] :
      ( ( ( subactivity_occurrence @ SV3 @ SV23 )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[457]) ).

thf(473,plain,
    ! [SV3: $i,SV58: $i,SV23: $i] :
      ( ( ( occurrence_of @ SV23 @ SV58 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV3 @ SV23 ) )
        = $true )
      | ( ( ~ ( leaf @ SV3 @ SV58 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[458]) ).

thf(474,plain,
    ! [SV26: $i,SV6: $i] :
      ( ( ( min_precedes @ SV6 @ ( sK8_SY138 @ SV26 @ SV6 ) @ SV26 )
        = $true )
      | ( ( root @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[459]) ).

thf(475,plain,
    ! [SV62: $i,SV26: $i,SV6: $i] :
      ( ( ( ~ ! [SY138: $i] :
                ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $true )
      | ( ( min_precedes @ SV62 @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[460]) ).

thf(476,plain,
    ! [SV27: $i,SV43: $i,SV63: $i,SV7: $i] :
      ( ( ( ~ ( min_precedes @ SV7 @ SV63 @ SV43 )
          | ~ ( min_precedes @ SV63 @ SV27 @ SV43 ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(477,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( min_precedes @ SV7 @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV43 )
              | ~ ( min_precedes @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV27 @ SV43 ) ) )
        = $true )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[462]) ).

thf(478,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV44 @ tptp3 )
              | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) ) )
        = $false )
      | ( ( ~ ( ( occurrence_of @ SV57 @ tptp2 )
              | ( occurrence_of @ SV57 @ tptp1 ) ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(479,plain,
    ! [SV28: $i,SV8: $i,SV45: $i,SV54: $i] :
      ( ( ( ~ ( atomic @ SV54 ) )
        = $false )
      | ( ( occurrence_of @ SV45 @ SV54 )
        = $false )
      | ( ( ~ ( leaf_occ @ SV8 @ SV45 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(480,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( ~ ( leaf_occ @ SV9 @ SV29 ) )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(481,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ( occurrence_of @ SV36 @ SV17 )
          | ~ ( arboreal @ SV50 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV56 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[468]) ).

thf(482,plain,
    ! [SV58: $i,SV23: $i,SV3: $i] :
      ( ( ( subactivity_occurrence @ SV3 @ SV23 )
        = $false )
      | ( ( occurrence_of @ SV23 @ SV58 )
        = $false )
      | ( ( ~ ( leaf @ SV3 @ SV58 ) )
        = $true )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[473]) ).

thf(483,plain,
    ! [SV62: $i,SV26: $i,SV6: $i] :
      ( ( ( ! [SY138: $i] :
              ~ ( min_precedes @ SV6 @ SY138 @ SV26 ) )
        = $false )
      | ( ( min_precedes @ SV62 @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(484,plain,
    ! [SV27: $i,SV43: $i,SV63: $i,SV7: $i] :
      ( ( ( ~ ( min_precedes @ SV7 @ SV63 @ SV43 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV63 @ SV27 @ SV43 ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[476]) ).

thf(485,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( min_precedes @ SV7 @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV43 )
          | ~ ( min_precedes @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV27 @ SV43 ) )
        = $false )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[477]) ).

thf(486,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ( occurrence_of @ SV44 @ tptp3 )
          | ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
        = $true )
      | ( ( ~ ( ( occurrence_of @ SV57 @ tptp2 )
              | ( occurrence_of @ SV57 @ tptp1 ) ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[478]) ).

thf(487,plain,
    ! [SV28: $i,SV8: $i,SV45: $i,SV54: $i] :
      ( ( ( atomic @ SV54 )
        = $true )
      | ( ( occurrence_of @ SV45 @ SV54 )
        = $false )
      | ( ( ~ ( leaf_occ @ SV8 @ SV45 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(488,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( leaf_occ @ SV9 @ SV29 )
        = $true )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ! [SY103: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                              | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                        | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                  | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                            | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                                | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                      | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                                | ~ ! [SX5: $i] :
                                      ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                      | ( SX5 = SY102 )
                                      | ( SX5 = SY103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[480]) ).

thf(489,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( ~ ( occurrence_of @ SV36 @ SV17 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV50 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV56 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[481]) ).

thf(490,plain,
    ! [SV23: $i,SV58: $i,SV3: $i] :
      ( ( ( leaf @ SV3 @ SV58 )
        = $false )
      | ( ( occurrence_of @ SV23 @ SV58 )
        = $false )
      | ( ( subactivity_occurrence @ SV3 @ SV23 )
        = $false )
      | ( ( leaf_occ @ SV3 @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(491,plain,
    ! [SV26: $i,SV62: $i,SV6: $i] :
      ( ( ( ~ ( min_precedes @ SV6 @ ( sK10_SY138 @ SV62 @ SV26 @ SV6 ) @ SV26 ) )
        = $false )
      | ( ( min_precedes @ SV62 @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[483]) ).

thf(492,plain,
    ! [SV27: $i,SV43: $i,SV63: $i,SV7: $i] :
      ( ( ( min_precedes @ SV7 @ SV63 @ SV43 )
        = $false )
      | ( ( ~ ( min_precedes @ SV63 @ SV27 @ SV43 ) )
        = $true )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(493,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( ~ ( min_precedes @ SV7 @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV43 ) )
        = $false )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[485]) ).

thf(494,plain,
    ! [SV7: $i,SV43: $i,SV27: $i] :
      ( ( ( ~ ( min_precedes @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV27 @ SV43 ) )
        = $false )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[485]) ).

thf(495,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( ~ ( occurrence_of @ SV44 @ tptp3 ) )
        = $true )
      | ( ( ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
        = $true )
      | ( ( ~ ( ( occurrence_of @ SV57 @ tptp2 )
              | ( occurrence_of @ SV57 @ tptp1 ) ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(496,plain,
    ! [SV28: $i,SV54: $i,SV45: $i,SV8: $i] :
      ( ( ( leaf_occ @ SV8 @ SV45 )
        = $false )
      | ( ( occurrence_of @ SV45 @ SV54 )
        = $false )
      | ( ( atomic @ SV54 )
        = $true )
      | ( ( ~ ( leaf_occ @ SV28 @ SV45 ) )
        = $true )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(497,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( ! [SY101: $i] :
              ~ ~ ! [SY102: $i] :
                    ~ ~ ! [SY103: $i] :
                          ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY101 @ tptp3 )
                                                            | ~ ( next_subocc @ SV9 @ SY101 @ tptp0 ) )
                                                      | ~ ( occurrence_of @ SY102 @ tptp4 ) )
                                                | ~ ( min_precedes @ SY101 @ SY102 @ tptp0 ) )
                                          | ~ ( ( occurrence_of @ SY103 @ tptp2 )
                                              | ( occurrence_of @ SY103 @ tptp1 ) ) )
                                    | ~ ( min_precedes @ SY102 @ SY103 @ tptp0 ) )
                              | ~ ! [SX5: $i] :
                                    ( ~ ( min_precedes @ SY101 @ SX5 @ tptp0 )
                                    | ( SX5 = SY102 )
                                    | ( SX5 = SY103 ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(498,plain,
    ! [SV56: $i,SV50: $i,SV17: $i,SV36: $i] :
      ( ( ( occurrence_of @ SV36 @ SV17 )
        = $false )
      | ( ( ~ ( arboreal @ SV50 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV56 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[489]) ).

thf(499,plain,
    ! [SV26: $i,SV62: $i,SV6: $i] :
      ( ( ( min_precedes @ SV6 @ ( sK10_SY138 @ SV62 @ SV26 @ SV6 ) @ SV26 )
        = $true )
      | ( ( min_precedes @ SV62 @ SV6 @ SV26 )
        = $false )
      | ( ( leaf @ SV6 @ SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[491]) ).

thf(500,plain,
    ! [SV7: $i,SV43: $i,SV27: $i,SV63: $i] :
      ( ( ( min_precedes @ SV63 @ SV27 @ SV43 )
        = $false )
      | ( ( min_precedes @ SV7 @ SV63 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[492]) ).

thf(501,plain,
    ! [SV43: $i,SV27: $i,SV7: $i] :
      ( ( ( min_precedes @ SV7 @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV43 )
        = $true )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[493]) ).

thf(502,plain,
    ! [SV7: $i,SV43: $i,SV27: $i] :
      ( ( ( min_precedes @ ( sK9_SY164 @ SV27 @ SV43 @ SV7 ) @ SV27 @ SV43 )
        = $true )
      | ( ( min_precedes @ SV7 @ SV27 @ SV43 )
        = $false )
      | ( ( next_subocc @ SV7 @ SV27 @ SV43 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[494]) ).

thf(503,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( ~ ( next_subocc @ sK1_X101 @ SV44 @ tptp0 ) )
        = $true )
      | ( ( ~ ( ( occurrence_of @ SV57 @ tptp2 )
              | ( occurrence_of @ SV57 @ tptp1 ) ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(504,plain,
    ! [SV8: $i,SV54: $i,SV45: $i,SV28: $i] :
      ( ( ( leaf_occ @ SV28 @ SV45 )
        = $false )
      | ( ( atomic @ SV54 )
        = $true )
      | ( ( occurrence_of @ SV45 @ SV54 )
        = $false )
      | ( ( leaf_occ @ SV8 @ SV45 )
        = $false )
      | ( ( SV8 = SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[496]) ).

thf(505,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ! [SY172: $i] :
                  ~ ~ ! [SY173: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                                          | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                                    | ~ ( occurrence_of @ SY172 @ tptp4 ) )
                                              | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY172 @ tptp0 ) )
                                        | ~ ( ( occurrence_of @ SY173 @ tptp2 )
                                            | ( occurrence_of @ SY173 @ tptp1 ) ) )
                                  | ~ ( min_precedes @ SY172 @ SY173 @ tptp0 ) )
                            | ~ ! [SY174: $i] :
                                  ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY174 @ tptp0 )
                                  | ( SY174 = SY172 )
                                  | ( SY174 = SY173 ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[497]) ).

thf(506,plain,
    ! [SV56: $i,SV17: $i,SV36: $i,SV50: $i] :
      ( ( ( arboreal @ SV50 )
        = $false )
      | ( ( occurrence_of @ SV36 @ SV17 )
        = $false )
      | ( ( ~ ( arboreal @ SV56 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[498]) ).

thf(507,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( next_subocc @ sK1_X101 @ SV44 @ tptp0 )
        = $false )
      | ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( ~ ( ( occurrence_of @ SV57 @ tptp2 )
              | ( occurrence_of @ SV57 @ tptp1 ) ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[503]) ).

thf(508,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ! [SY172: $i] :
                ~ ~ ! [SY173: $i] :
                      ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                                        | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                                  | ~ ( occurrence_of @ SY172 @ tptp4 ) )
                                            | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY172 @ tptp0 ) )
                                      | ~ ( ( occurrence_of @ SY173 @ tptp2 )
                                          | ( occurrence_of @ SY173 @ tptp1 ) ) )
                                | ~ ( min_precedes @ SY172 @ SY173 @ tptp0 ) )
                          | ~ ! [SY174: $i] :
                                ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY174 @ tptp0 )
                                | ( SY174 = SY172 )
                                | ( SY174 = SY173 ) ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[505]) ).

thf(509,plain,
    ! [SV50: $i,SV17: $i,SV36: $i,SV56: $i] :
      ( ( ( arboreal @ SV56 )
        = $false )
      | ( ( occurrence_of @ SV36 @ SV17 )
        = $false )
      | ( ( arboreal @ SV50 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV50 @ SV36 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[506]) ).

thf(510,plain,
    ! [SV44: $i,SV57: $i] :
      ( ( ( ( occurrence_of @ SV57 @ tptp2 )
          | ( occurrence_of @ SV57 @ tptp1 ) )
        = $false )
      | ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( next_subocc @ sK1_X101 @ SV44 @ tptp0 )
        = $false )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(511,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ! [SY172: $i] :
              ~ ~ ! [SY173: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                                      | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                                | ~ ( occurrence_of @ SY172 @ tptp4 ) )
                                          | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY172 @ tptp0 ) )
                                    | ~ ( ( occurrence_of @ SY173 @ tptp2 )
                                        | ( occurrence_of @ SY173 @ tptp1 ) ) )
                              | ~ ( min_precedes @ SY172 @ SY173 @ tptp0 ) )
                        | ~ ! [SY174: $i] :
                              ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY174 @ tptp0 )
                              | ( SY174 = SY172 )
                              | ( SY174 = SY173 ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(512,plain,
    ! [SV56: $i,SV17: $i,SV36: $i,SV50: $i] :
      ( ( ( subactivity_occurrence @ SV50 @ SV36 )
        = $false )
      | ( ( arboreal @ SV50 )
        = $false )
      | ( ( occurrence_of @ SV36 @ SV17 )
        = $false )
      | ( ( arboreal @ SV56 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV56 @ SV36 ) )
        = $true )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(513,plain,
    ! [SV44: $i,SV57: $i] :
      ( ( ( occurrence_of @ SV57 @ tptp2 )
        = $false )
      | ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( next_subocc @ sK1_X101 @ SV44 @ tptp0 )
        = $false )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[510]) ).

thf(514,plain,
    ! [SV44: $i,SV57: $i] :
      ( ( ( occurrence_of @ SV57 @ tptp1 )
        = $false )
      | ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( next_subocc @ sK1_X101 @ SV44 @ tptp0 )
        = $false )
      | ( ( ~ ( min_precedes @ SV44 @ SV57 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[510]) ).

thf(515,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ! [SY175: $i] :
                  ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                                    | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                              | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                                        | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                                  | ~ ( ( occurrence_of @ SY175 @ tptp2 )
                                      | ( occurrence_of @ SY175 @ tptp1 ) ) )
                            | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ SY175 @ tptp0 ) )
                      | ~ ! [SY176: $i] :
                            ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY176 @ tptp0 )
                            | ( SY176
                              = ( sK12_SY172 @ SV9 @ SV29 ) )
                            | ( SY176 = SY175 ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[511]) ).

thf(516,plain,
    ! [SV50: $i,SV17: $i,SV36: $i,SV56: $i] :
      ( ( ( subactivity_occurrence @ SV56 @ SV36 )
        = $false )
      | ( ( arboreal @ SV56 )
        = $false )
      | ( ( occurrence_of @ SV36 @ SV17 )
        = $false )
      | ( ( arboreal @ SV50 )
        = $false )
      | ( ( subactivity_occurrence @ SV50 @ SV36 )
        = $false )
      | ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 )
          | ( SV50 = SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[512]) ).

thf(517,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( min_precedes @ SV44 @ SV57 @ tptp0 )
        = $false )
      | ( ( next_subocc @ sK1_X101 @ SV44 @ tptp0 )
        = $false )
      | ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( occurrence_of @ SV57 @ tptp2 )
        = $false )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[513]) ).

thf(518,plain,
    ! [SV57: $i,SV44: $i] :
      ( ( ( min_precedes @ SV44 @ SV57 @ tptp0 )
        = $false )
      | ( ( next_subocc @ sK1_X101 @ SV44 @ tptp0 )
        = $false )
      | ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( occurrence_of @ SV57 @ tptp1 )
        = $false )
      | ( ( ~ ( leaf @ SV57 @ tptp0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[514]) ).

thf(519,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ! [SY175: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                                  | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                            | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                                      | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                                | ~ ( ( occurrence_of @ SY175 @ tptp2 )
                                    | ( occurrence_of @ SY175 @ tptp1 ) ) )
                          | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ SY175 @ tptp0 ) )
                    | ~ ! [SY176: $i] :
                          ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY176 @ tptp0 )
                          | ( SY176
                            = ( sK12_SY172 @ SV9 @ SV29 ) )
                          | ( SY176 = SY175 ) ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[515]) ).

thf(520,plain,
    ! [SV36: $i,SV17: $i,SV56: $i,SV50: $i] :
      ( ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
          | ( min_precedes @ SV56 @ SV50 @ SV17 ) )
        = $true )
      | ( ( SV50 = SV56 )
        = $true )
      | ( ( subactivity_occurrence @ SV50 @ SV36 )
        = $false )
      | ( ( arboreal @ SV50 )
        = $false )
      | ( ( occurrence_of @ SV36 @ SV17 )
        = $false )
      | ( ( arboreal @ SV56 )
        = $false )
      | ( ( subactivity_occurrence @ SV56 @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[516]) ).

thf(521,plain,
    ! [SV44: $i,SV57: $i] :
      ( ( ( leaf @ SV57 @ tptp0 )
        = $false )
      | ( ( occurrence_of @ SV57 @ tptp2 )
        = $false )
      | ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( next_subocc @ sK1_X101 @ SV44 @ tptp0 )
        = $false )
      | ( ( min_precedes @ SV44 @ SV57 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[517]) ).

thf(522,plain,
    ! [SV44: $i,SV57: $i] :
      ( ( ( leaf @ SV57 @ tptp0 )
        = $false )
      | ( ( occurrence_of @ SV57 @ tptp1 )
        = $false )
      | ( ( occurrence_of @ SV44 @ tptp3 )
        = $false )
      | ( ( next_subocc @ sK1_X101 @ SV44 @ tptp0 )
        = $false )
      | ( ( min_precedes @ SV44 @ SV57 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[518]) ).

thf(523,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ! [SY175: $i] :
              ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                                | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                          | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                                    | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                              | ~ ( ( occurrence_of @ SY175 @ tptp2 )
                                  | ( occurrence_of @ SY175 @ tptp1 ) ) )
                        | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ SY175 @ tptp0 ) )
                  | ~ ! [SY176: $i] :
                        ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY176 @ tptp0 )
                        | ( SY176
                          = ( sK12_SY172 @ SV9 @ SV29 ) )
                        | ( SY176 = SY175 ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(524,plain,
    ! [SV36: $i,SV17: $i,SV56: $i,SV50: $i] :
      ( ( ( min_precedes @ SV50 @ SV56 @ SV17 )
        = $true )
      | ( ( min_precedes @ SV56 @ SV50 @ SV17 )
        = $true )
      | ( ( SV50 = SV56 )
        = $true )
      | ( ( subactivity_occurrence @ SV50 @ SV36 )
        = $false )
      | ( ( arboreal @ SV50 )
        = $false )
      | ( ( occurrence_of @ SV36 @ SV17 )
        = $false )
      | ( ( arboreal @ SV56 )
        = $false )
      | ( ( subactivity_occurrence @ SV56 @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[520]) ).

thf(525,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                              | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                        | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                                  | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                            | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
                                | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) )
                      | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp0 ) )
                | ~ ! [SY177: $i] :
                      ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY177 @ tptp0 )
                      | ( SY177
                        = ( sK12_SY172 @ SV9 @ SV29 ) )
                      | ( SY177
                        = ( sK13_SY175 @ SV9 @ SV29 ) ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[523]) ).

thf(526,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                            | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                      | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                                | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                          | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
                              | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) )
                    | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp0 ) )
              | ~ ! [SY177: $i] :
                    ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY177 @ tptp0 )
                    | ( SY177
                      = ( sK12_SY172 @ SV9 @ SV29 ) )
                    | ( SY177
                      = ( sK13_SY175 @ SV9 @ SV29 ) ) ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[525]) ).

thf(527,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                        | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                  | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                            | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                      | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
                          | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) )
                | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp0 ) )
          | ~ ! [SY177: $i] :
                ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY177 @ tptp0 )
                | ( SY177
                  = ( sK12_SY172 @ SV9 @ SV29 ) )
                | ( SY177
                  = ( sK13_SY175 @ SV9 @ SV29 ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(528,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                        | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                  | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                            | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                      | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
                          | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) )
                | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp0 ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[527]) ).

thf(529,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ! [SY177: $i] :
                ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY177 @ tptp0 )
                | ( SY177
                  = ( sK12_SY172 @ SV9 @ SV29 ) )
                | ( SY177
                  = ( sK13_SY175 @ SV9 @ SV29 ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[527]) ).

thf(530,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                      | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                                | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                          | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                    | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
                        | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) )
              | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp0 ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[528]) ).

thf(531,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ! [SY177: $i] :
              ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SY177 @ tptp0 )
              | ( SY177
                = ( sK12_SY172 @ SV9 @ SV29 ) )
              | ( SY177
                = ( sK13_SY175 @ SV9 @ SV29 ) ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[529]) ).

thf(532,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                  | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                            | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                      | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
                    | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) )
          | ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp0 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[530]) ).

thf(533,plain,
    ! [SV64: $i,SV9: $i,SV29: $i] :
      ( ( ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SV64 @ tptp0 )
          | ( SV64
            = ( sK12_SY172 @ SV9 @ SV29 ) )
          | ( SV64
            = ( sK13_SY175 @ SV9 @ SV29 ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[531]) ).

thf(534,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                  | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                            | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                      | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
                | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
                    | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[532]) ).

thf(535,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( ~ ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp0 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[532]) ).

thf(536,plain,
    ! [SV64: $i,SV9: $i,SV29: $i] :
      ( ( ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SV64 @ tptp0 ) )
        = $true )
      | ( ( ( SV64
            = ( sK12_SY172 @ SV9 @ SV29 ) )
          | ( SV64
            = ( sK13_SY175 @ SV9 @ SV29 ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[533]) ).

thf(537,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                                | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                          | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                    | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
              | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
                  | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[534]) ).

thf(538,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( min_precedes @ ( sK12_SY172 @ SV9 @ SV29 ) @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp0 )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[535]) ).

thf(539,plain,
    ! [SV64: $i,SV9: $i,SV29: $i] :
      ( ( ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SV64 @ tptp0 )
        = $false )
      | ( ( ( SV64
            = ( sK12_SY172 @ SV9 @ SV29 ) )
          | ( SV64
            = ( sK13_SY175 @ SV9 @ SV29 ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(540,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                            | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                      | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
          | ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
              | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[537]) ).

thf(541,plain,
    ! [SV29: $i,SV9: $i,SV64: $i] :
      ( ( ( SV64
          = ( sK12_SY172 @ SV9 @ SV29 ) )
        = $true )
      | ( ( SV64
          = ( sK13_SY175 @ SV9 @ SV29 ) )
        = $true )
      | ( ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ SV64 @ tptp0 )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[539]) ).

thf(542,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                            | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                      | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
                | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[540]) ).

thf(543,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( ~ ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
              | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[540]) ).

thf(544,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                          | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                    | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
              | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[542]) ).

thf(545,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
          | ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[543]) ).

thf(546,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                      | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
          | ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[544]) ).

thf(547,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp2 )
        = $true )
      | ( ( occurrence_of @ ( sK13_SY175 @ SV9 @ SV29 ) @ tptp1 )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[545]) ).

thf(548,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                      | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
                | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[546]) ).

thf(549,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[546]) ).

thf(550,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                    | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
              | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[548]) ).

thf(551,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( min_precedes @ ( sK11_SY101 @ SV29 @ SV9 ) @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp0 )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[549]) ).

thf(552,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
          | ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(553,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
                | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(554,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(555,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
              | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) ) )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[553]) ).

thf(556,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( occurrence_of @ ( sK12_SY172 @ SV9 @ SV29 ) @ tptp4 )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[554]) ).

thf(557,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
          | ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[555]) ).

thf(558,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[557]) ).

thf(559,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( ~ ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 ) )
        = $false )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[557]) ).

thf(560,plain,
    ! [SV9: $i,SV29: $i] :
      ( ( ( occurrence_of @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp3 )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[558]) ).

thf(561,plain,
    ! [SV29: $i,SV9: $i] :
      ( ( ( next_subocc @ SV9 @ ( sK11_SY101 @ SV29 @ SV9 ) @ tptp0 )
        = $true )
      | ( ( arboreal @ SV9 )
        = $false )
      | ( ( occurrence_of @ SV29 @ tptp0 )
        = $false )
      | ( ( subactivity_occurrence @ SV9 @ SV29 )
        = $false )
      | ( ( leaf_occ @ SV9 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[559]) ).

thf(562,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[108,561,560,556,551,547,541,538,524,522,521,504,502,501,500,499,490,474,472,471,470,469,467,466,455,454,450,440,439,431,430,418,397,384,358,355,351,350,317,316,297,296,282,248,212,172,165,164,163,158,154,152,151,122,121,120,112,111,110]) ).

thf(563,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[562]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO017+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19  % Computer : n015.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Oct  6 13:59:13 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 296.92/49.79  
% 296.92/49.79   No.of.Axioms: 31
% 296.92/49.79  
% 296.92/49.79   Length.of.Defs: 0
% 296.92/49.79  
% 296.92/49.79   Contains.Choice.Funs: false
% 296.92/49.79  ...................
% 296.92/49.79  
% 296.92/49.79  ********************************
% 296.92/49.79  *   All subproblems solved!    *
% 296.92/49.79  ********************************
% 296.92/49.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:35,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:562,loop_count:0,foatp_calls:1,translation:fof_full)
% 296.92/49.79  
% 296.92/49.79  %**** Beginning of derivation protocol ****
% 296.92/49.79  % SZS output start CNFRefutation
% See solution above
% 296.92/49.80  
% 296.92/49.80  %**** End of derivation protocol ****
% 296.92/49.80  %**** no. of clauses in derivation: 549 ****
% 296.92/49.80  %**** clause counter: 562 ****
% 296.92/49.80  
% 296.92/49.80  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:35,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:562,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------