TSTP Solution File: PRO009+4 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 17:49:14 EDT 2022

% Result   : Theorem 2.67s 2.89s
% Output   : CNFRefutation 2.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   85
% Syntax   : Number of formulae    :  749 ( 361 unt;  39 typ;   0 def)
%            Number of atoms       : 5166 (1381 equ;   0 cnn)
%            Maximal formula atoms :    9 (   7 avg)
%            Number of connectives : 9959 (1850   ~;1674   |; 202   &;6161   @)
%                                         (  14 <=>;  58  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   62 (  62   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   42 (  39 usr;   8 con; 0-3 aty)
%            Number of variables   : 1964 (   0   ^1918   !;  46   ?;1964   :)

% 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_X50,type,
    sK10_X50: $i > $i > $i ).

thf(tp_sK11_X50,type,
    sK11_X50: $i > $i > $i ).

thf(tp_sK12_X46,type,
    sK12_X46: $i > $i > $i ).

thf(tp_sK13_X42,type,
    sK13_X42: $i > $i ).

thf(tp_sK14_X27,type,
    sK14_X27: $i > $i > $i ).

thf(tp_sK15_X24,type,
    sK15_X24: $i > $i > $i > $i ).

thf(tp_sK16_X20,type,
    sK16_X20: $i > $i > $i ).

thf(tp_sK17_X2,type,
    sK17_X2: $i > $i > $i ).

thf(tp_sK1_X105,type,
    sK1_X105: $i ).

thf(tp_sK2_X102,type,
    sK2_X102: $i > $i ).

thf(tp_sK3_SY110,type,
    sK3_SY110: $i > $i ).

thf(tp_sK4_SY112,type,
    sK4_SY112: $i > $i ).

thf(tp_sK5_X81,type,
    sK5_X81: $i > $i > $i > $i ).

thf(tp_sK6_X71,type,
    sK6_X71: $i > $i > $i > $i ).

thf(tp_sK7_X60,type,
    sK7_X60: $i > $i > $i ).

thf(tp_sK8_X57,type,
    sK8_X57: $i > $i > $i ).

thf(tp_sK9_X49,type,
    sK9_X49: $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(10,axiom,
    atomic @ tptp4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

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,
    ! [X101: $i] :
      ( ( occurrence_of @ X101 @ tptp0 )
     => ? [X102: $i,X103: $i,X104: $i] :
          ( ( occurrence_of @ X102 @ tptp3 )
          & ( root_occ @ X102 @ X101 )
          & ( occurrence_of @ X103 @ tptp4 )
          & ( next_subocc @ X102 @ X103 @ tptp0 )
          & ( ( occurrence_of @ X104 @ tptp2 )
            | ( occurrence_of @ X104 @ tptp1 ) )
          & ( next_subocc @ X103 @ X104 @ tptp0 )
          & ( leaf_occ @ X104 @ X101 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

thf(14,axiom,
    ! [X97: $i,X98: $i,X99: $i,X100: $i] :
      ( ( ( min_precedes @ X97 @ X98 @ X100 )
        & ( min_precedes @ X97 @ X99 @ X100 )
        & ( precedes @ X98 @ X99 ) )
     => ( min_precedes @ X98 @ X99 @ X100 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_31) ).

thf(15,axiom,
    ! [X94: $i,X95: $i,X96: $i] :
      ( ( ( earlier @ X94 @ X95 )
        & ( earlier @ X95 @ X96 ) )
     => ( earlier @ X94 @ X96 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_30) ).

thf(16,axiom,
    ! [X90: $i,X91: $i,X92: $i,X93: $i] :
      ( ( ( occurrence_of @ X92 @ X93 )
        & ( root_occ @ X90 @ X92 )
        & ( root_occ @ X91 @ X92 ) )
     => ( X90 = X91 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).

thf(17,axiom,
    ! [X86: $i,X87: $i,X88: $i,X89: $i] :
      ( ( ( occurrence_of @ X88 @ X89 )
        & ~ ( atomic @ X89 )
        & ( leaf_occ @ X86 @ X88 )
        & ( leaf_occ @ X87 @ X88 ) )
     => ( X86 = X87 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).

thf(18,axiom,
    ! [X82: $i,X83: $i,X84: $i,X85: $i] :
      ( ( ( min_precedes @ X82 @ X83 @ X84 )
        & ( occurrence_of @ X85 @ X84 )
        & ( subactivity_occurrence @ X83 @ X85 ) )
     => ( subactivity_occurrence @ X82 @ X85 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).

thf(19,axiom,
    ! [X78: $i,X79: $i,X80: $i] :
      ( ( next_subocc @ X78 @ X79 @ X80 )
    <=> ( ( min_precedes @ X78 @ X79 @ X80 )
        & ~ ? [X81: $i] :
              ( ( min_precedes @ X78 @ X81 @ X80 )
              & ( min_precedes @ X81 @ X79 @ X80 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).

thf(20,axiom,
    ! [X75: $i,X76: $i,X77: $i] :
      ( ( next_subocc @ X75 @ X76 @ X77 )
     => ( ( arboreal @ X75 )
        & ( arboreal @ X76 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).

thf(21,axiom,
    ! [X72: $i,X73: $i,X74: $i] :
      ( ( min_precedes @ X72 @ X73 @ X74 )
     => ( precedes @ X72 @ X73 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).

thf(22,axiom,
    ! [X68: $i,X69: $i,X70: $i] :
      ( ( min_precedes @ X68 @ X69 @ X70 )
     => ? [X71: $i] :
          ( ( root @ X71 @ X70 )
          & ( min_precedes @ X71 @ X69 @ X70 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).

thf(23,axiom,
    ! [X65: $i,X66: $i,X67: $i] :
      ( ( min_precedes @ X65 @ X66 @ X67 )
     => ~ ( root @ X66 @ X67 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).

thf(24,axiom,
    ! [X63: $i,X64: $i] :
      ( ( precedes @ X63 @ X64 )
    <=> ( ( earlier @ X63 @ X64 )
        & ( legal @ X64 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

thf(25,axiom,
    ! [X61: $i,X62: $i] :
      ( ( earlier @ X61 @ X62 )
     => ~ ( earlier @ X62 @ X61 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).

thf(26,axiom,
    ! [X58: $i,X59: $i] :
      ( ( root_occ @ X58 @ X59 )
    <=> ? [X60: $i] :
          ( ( occurrence_of @ X59 @ X60 )
          & ( subactivity_occurrence @ X58 @ X59 )
          & ( root @ X58 @ X60 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).

thf(27,axiom,
    ! [X55: $i,X56: $i] :
      ( ( leaf_occ @ X55 @ X56 )
    <=> ? [X57: $i] :
          ( ( occurrence_of @ X56 @ X57 )
          & ( subactivity_occurrence @ X55 @ X56 )
          & ( leaf @ X55 @ X57 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).

thf(28,axiom,
    ! [X53: $i,X54: $i] :
      ( ( root @ X53 @ X54 )
     => ( legal @ X53 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).

thf(29,axiom,
    ! [X51: $i,X52: $i] :
      ( ( occurrence_of @ X51 @ X52 )
     => ( ( arboreal @ X51 )
      <=> ( atomic @ X52 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).

thf(30,axiom,
    ! [X47: $i,X48: $i] :
      ( ( leaf @ X47 @ X48 )
    <=> ( ( ( root @ X47 @ X48 )
          | ? [X49: $i] : ( min_precedes @ X49 @ X47 @ X48 ) )
        & ~ ? [X50: $i] : ( min_precedes @ X47 @ X50 @ X48 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).

thf(31,axiom,
    ! [X44: $i,X45: $i] :
      ( ( atocc @ X44 @ X45 )
    <=> ? [X46: $i] :
          ( ( subactivity @ X45 @ X46 )
          & ( atomic @ X46 )
          & ( occurrence_of @ X44 @ X46 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

thf(32,axiom,
    ! [X43: $i] :
      ( ( legal @ X43 )
     => ( arboreal @ X43 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).

thf(33,axiom,
    ! [X41: $i] :
      ( ( activity_occurrence @ X41 )
     => ? [X42: $i] :
          ( ( activity @ X42 )
          & ( occurrence_of @ X41 @ X42 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).

thf(34,axiom,
    ! [X39: $i,X40: $i] :
      ( ( subactivity_occurrence @ X39 @ X40 )
     => ( ( activity_occurrence @ X39 )
        & ( activity_occurrence @ X40 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

thf(35,axiom,
    ! [X35: $i,X36: $i,X37: $i] :
      ( ( ( occurrence_of @ X35 @ X37 )
        & ( root_occ @ X36 @ X35 ) )
     => ~ ? [X38: $i] : ( min_precedes @ X38 @ X36 @ X37 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

thf(36,axiom,
    ! [X31: $i,X32: $i,X33: $i] :
      ( ( ( occurrence_of @ X31 @ X33 )
        & ( leaf_occ @ X32 @ X31 ) )
     => ~ ? [X34: $i] : ( min_precedes @ X32 @ X34 @ X33 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).

thf(37,axiom,
    ! [X28: $i,X29: $i,X30: $i] :
      ( ( ( occurrence_of @ X28 @ X29 )
        & ( occurrence_of @ X28 @ X30 ) )
     => ( X29 = X30 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

thf(38,axiom,
    ! [X25: $i,X26: $i] :
      ( ( ( leaf @ X25 @ X26 )
        & ~ ( atomic @ X26 ) )
     => ? [X27: $i] :
          ( ( occurrence_of @ X27 @ X26 )
          & ( leaf_occ @ X25 @ X27 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

thf(39,axiom,
    ! [X21: $i,X22: $i,X23: $i] :
      ( ( min_precedes @ X22 @ X23 @ X21 )
     => ? [X24: $i] :
          ( ( occurrence_of @ X24 @ X21 )
          & ( subactivity_occurrence @ X22 @ X24 )
          & ( subactivity_occurrence @ X23 @ X24 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).

thf(40,axiom,
    ! [X18: $i,X19: $i] :
      ( ( root @ X19 @ X18 )
     => ? [X20: $i] :
          ( ( subactivity @ X20 @ X18 )
          & ( atocc @ X19 @ X20 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

thf(41,axiom,
    ! [X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( ( occurrence_of @ X15 @ X14 )
        & ( arboreal @ X16 )
        & ( arboreal @ X17 )
        & ( subactivity_occurrence @ X16 @ X15 )
        & ( subactivity_occurrence @ X17 @ X15 ) )
     => ( ( min_precedes @ X16 @ X17 @ X14 )
        | ( min_precedes @ X17 @ X16 @ X14 )
        | ( X16 = X17 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

thf(42,axiom,
    ! [X12: $i,X13: $i] :
      ( ( occurrence_of @ X13 @ X12 )
     => ( ( activity @ X12 )
        & ( activity_occurrence @ X13 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

thf(43,axiom,
    ! [X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( ( occurrence_of @ X9 @ X8 )
        & ( subactivity_occurrence @ X10 @ X9 )
        & ( leaf_occ @ X11 @ X9 )
        & ( arboreal @ X10 )
        & ~ ( min_precedes @ X10 @ X11 @ X8 ) )
     => ( X11 = X10 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

thf(44,axiom,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( ( occurrence_of @ X4 @ X3 )
        & ( root_occ @ X6 @ X4 )
        & ( leaf_occ @ X7 @ X4 )
        & ( subactivity_occurrence @ X5 @ X4 )
        & ( min_precedes @ X6 @ X5 @ X3 )
        & ( X5 != X7 ) )
     => ( min_precedes @ X5 @ X7 @ X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).

thf(45,axiom,
    ! [X0: $i,X1: $i] :
      ( ( ( occurrence_of @ X1 @ X0 )
        & ~ ( atomic @ X0 ) )
     => ? [X2: $i] :
          ( ( root @ X2 @ X0 )
          & ( subactivity_occurrence @ X2 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).

thf(46,conjecture,
    ! [X105: $i] :
      ( ( occurrence_of @ X105 @ tptp0 )
     => ? [X106: $i,X107: $i] :
          ( ( occurrence_of @ X106 @ tptp3 )
          & ( root_occ @ X106 @ X105 )
          & ( ( occurrence_of @ X107 @ tptp2 )
            | ( occurrence_of @ X107 @ tptp1 ) )
          & ( min_precedes @ X106 @ X107 @ tptp0 )
          & ( leaf_occ @ X107 @ X105 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

thf(47,negated_conjecture,
    ( ( ! [X105: $i] :
          ( ( occurrence_of @ X105 @ tptp0 )
         => ? [X106: $i,X107: $i] :
              ( ( occurrence_of @ X106 @ tptp3 )
              & ( root_occ @ X106 @ X105 )
              & ( ( occurrence_of @ X107 @ tptp2 )
                | ( occurrence_of @ X107 @ tptp1 ) )
              & ( min_precedes @ X106 @ X107 @ tptp0 )
              & ( leaf_occ @ X107 @ X105 ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[46]) ).

thf(48,plain,
    ( ( ! [X105: $i] :
          ( ( occurrence_of @ X105 @ tptp0 )
         => ? [X106: $i,X107: $i] :
              ( ( occurrence_of @ X106 @ tptp3 )
              & ( root_occ @ X106 @ X105 )
              & ( ( occurrence_of @ X107 @ tptp2 )
                | ( occurrence_of @ X107 @ tptp1 ) )
              & ( min_precedes @ X106 @ X107 @ tptp0 )
              & ( leaf_occ @ X107 @ X105 ) ) ) )
    = $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 @ tptp4 )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(59,plain,
    ( ( ~ ( atomic @ tptp0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(60,plain,
    ( ( activity @ tptp0 )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(61,plain,
    ( ( ! [X101: $i] :
          ( ( occurrence_of @ X101 @ tptp0 )
         => ? [X102: $i,X103: $i,X104: $i] :
              ( ( occurrence_of @ X102 @ tptp3 )
              & ( root_occ @ X102 @ X101 )
              & ( occurrence_of @ X103 @ tptp4 )
              & ( next_subocc @ X102 @ X103 @ tptp0 )
              & ( ( occurrence_of @ X104 @ tptp2 )
                | ( occurrence_of @ X104 @ tptp1 ) )
              & ( next_subocc @ X103 @ X104 @ tptp0 )
              & ( leaf_occ @ X104 @ X101 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(62,plain,
    ( ( ! [X97: $i,X98: $i,X99: $i,X100: $i] :
          ( ( ( min_precedes @ X97 @ X98 @ X100 )
            & ( min_precedes @ X97 @ X99 @ X100 )
            & ( precedes @ X98 @ X99 ) )
         => ( min_precedes @ X98 @ X99 @ X100 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(63,plain,
    ( ( ! [X94: $i,X95: $i,X96: $i] :
          ( ( ( earlier @ X94 @ X95 )
            & ( earlier @ X95 @ X96 ) )
         => ( earlier @ X94 @ X96 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(64,plain,
    ( ( ! [X90: $i,X91: $i,X92: $i,X93: $i] :
          ( ( ( occurrence_of @ X92 @ X93 )
            & ( root_occ @ X90 @ X92 )
            & ( root_occ @ X91 @ X92 ) )
         => ( X90 = X91 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(65,plain,
    ( ( ! [X86: $i,X87: $i,X88: $i,X89: $i] :
          ( ( ( occurrence_of @ X88 @ X89 )
            & ~ ( atomic @ X89 )
            & ( leaf_occ @ X86 @ X88 )
            & ( leaf_occ @ X87 @ X88 ) )
         => ( X86 = X87 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(66,plain,
    ( ( ! [X82: $i,X83: $i,X84: $i,X85: $i] :
          ( ( ( min_precedes @ X82 @ X83 @ X84 )
            & ( occurrence_of @ X85 @ X84 )
            & ( subactivity_occurrence @ X83 @ X85 ) )
         => ( subactivity_occurrence @ X82 @ X85 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(67,plain,
    ( ( ! [X78: $i,X79: $i,X80: $i] :
          ( ( next_subocc @ X78 @ X79 @ X80 )
        <=> ( ( min_precedes @ X78 @ X79 @ X80 )
            & ~ ? [X81: $i] :
                  ( ( min_precedes @ X78 @ X81 @ X80 )
                  & ( min_precedes @ X81 @ X79 @ X80 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(68,plain,
    ( ( ! [X75: $i,X76: $i,X77: $i] :
          ( ( next_subocc @ X75 @ X76 @ X77 )
         => ( ( arboreal @ X75 )
            & ( arboreal @ X76 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(69,plain,
    ( ( ! [X72: $i,X73: $i,X74: $i] :
          ( ( min_precedes @ X72 @ X73 @ X74 )
         => ( precedes @ X72 @ X73 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(70,plain,
    ( ( ! [X68: $i,X69: $i,X70: $i] :
          ( ( min_precedes @ X68 @ X69 @ X70 )
         => ? [X71: $i] :
              ( ( root @ X71 @ X70 )
              & ( min_precedes @ X71 @ X69 @ X70 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(71,plain,
    ( ( ! [X65: $i,X66: $i,X67: $i] :
          ( ( min_precedes @ X65 @ X66 @ X67 )
         => ~ ( root @ X66 @ X67 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(72,plain,
    ( ( ! [X63: $i,X64: $i] :
          ( ( precedes @ X63 @ X64 )
        <=> ( ( earlier @ X63 @ X64 )
            & ( legal @ X64 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(73,plain,
    ( ( ! [X61: $i,X62: $i] :
          ( ( earlier @ X61 @ X62 )
         => ~ ( earlier @ X62 @ X61 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(74,plain,
    ( ( ! [X58: $i,X59: $i] :
          ( ( root_occ @ X58 @ X59 )
        <=> ? [X60: $i] :
              ( ( occurrence_of @ X59 @ X60 )
              & ( subactivity_occurrence @ X58 @ X59 )
              & ( root @ X58 @ X60 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(75,plain,
    ( ( ! [X55: $i,X56: $i] :
          ( ( leaf_occ @ X55 @ X56 )
        <=> ? [X57: $i] :
              ( ( occurrence_of @ X56 @ X57 )
              & ( subactivity_occurrence @ X55 @ X56 )
              & ( leaf @ X55 @ X57 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(76,plain,
    ( ( ! [X53: $i,X54: $i] :
          ( ( root @ X53 @ X54 )
         => ( legal @ X53 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(77,plain,
    ( ( ! [X51: $i,X52: $i] :
          ( ( occurrence_of @ X51 @ X52 )
         => ( ( arboreal @ X51 )
          <=> ( atomic @ X52 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(78,plain,
    ( ( ! [X47: $i,X48: $i] :
          ( ( leaf @ X47 @ X48 )
        <=> ( ( ( root @ X47 @ X48 )
              | ? [X49: $i] : ( min_precedes @ X49 @ X47 @ X48 ) )
            & ~ ? [X50: $i] : ( min_precedes @ X47 @ X50 @ X48 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(79,plain,
    ( ( ! [X44: $i,X45: $i] :
          ( ( atocc @ X44 @ X45 )
        <=> ? [X46: $i] :
              ( ( subactivity @ X45 @ X46 )
              & ( atomic @ X46 )
              & ( occurrence_of @ X44 @ X46 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(80,plain,
    ( ( ! [X43: $i] :
          ( ( legal @ X43 )
         => ( arboreal @ X43 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(81,plain,
    ( ( ! [X41: $i] :
          ( ( activity_occurrence @ X41 )
         => ? [X42: $i] :
              ( ( activity @ X42 )
              & ( occurrence_of @ X41 @ X42 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(82,plain,
    ( ( ! [X39: $i,X40: $i] :
          ( ( subactivity_occurrence @ X39 @ X40 )
         => ( ( activity_occurrence @ X39 )
            & ( activity_occurrence @ X40 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(83,plain,
    ( ( ! [X35: $i,X36: $i,X37: $i] :
          ( ( ( occurrence_of @ X35 @ X37 )
            & ( root_occ @ X36 @ X35 ) )
         => ~ ? [X38: $i] : ( min_precedes @ X38 @ X36 @ X37 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(84,plain,
    ( ( ! [X31: $i,X32: $i,X33: $i] :
          ( ( ( occurrence_of @ X31 @ X33 )
            & ( leaf_occ @ X32 @ X31 ) )
         => ~ ? [X34: $i] : ( min_precedes @ X32 @ X34 @ X33 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(85,plain,
    ( ( ! [X28: $i,X29: $i,X30: $i] :
          ( ( ( occurrence_of @ X28 @ X29 )
            & ( occurrence_of @ X28 @ X30 ) )
         => ( X29 = X30 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(86,plain,
    ( ( ! [X25: $i,X26: $i] :
          ( ( ( leaf @ X25 @ X26 )
            & ~ ( atomic @ X26 ) )
         => ? [X27: $i] :
              ( ( occurrence_of @ X27 @ X26 )
              & ( leaf_occ @ X25 @ X27 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(87,plain,
    ( ( ! [X21: $i,X22: $i,X23: $i] :
          ( ( min_precedes @ X22 @ X23 @ X21 )
         => ? [X24: $i] :
              ( ( occurrence_of @ X24 @ X21 )
              & ( subactivity_occurrence @ X22 @ X24 )
              & ( subactivity_occurrence @ X23 @ X24 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(88,plain,
    ( ( ! [X18: $i,X19: $i] :
          ( ( root @ X19 @ X18 )
         => ? [X20: $i] :
              ( ( subactivity @ X20 @ X18 )
              & ( atocc @ X19 @ X20 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(89,plain,
    ( ( ! [X14: $i,X15: $i,X16: $i,X17: $i] :
          ( ( ( occurrence_of @ X15 @ X14 )
            & ( arboreal @ X16 )
            & ( arboreal @ X17 )
            & ( subactivity_occurrence @ X16 @ X15 )
            & ( subactivity_occurrence @ X17 @ X15 ) )
         => ( ( min_precedes @ X16 @ X17 @ X14 )
            | ( min_precedes @ X17 @ X16 @ X14 )
            | ( X16 = X17 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(90,plain,
    ( ( ! [X12: $i,X13: $i] :
          ( ( occurrence_of @ X13 @ X12 )
         => ( ( activity @ X12 )
            & ( activity_occurrence @ X13 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(91,plain,
    ( ( ! [X8: $i,X9: $i,X10: $i,X11: $i] :
          ( ( ( occurrence_of @ X9 @ X8 )
            & ( subactivity_occurrence @ X10 @ X9 )
            & ( leaf_occ @ X11 @ X9 )
            & ( arboreal @ X10 )
            & ~ ( min_precedes @ X10 @ X11 @ X8 ) )
         => ( X11 = X10 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(92,plain,
    ( ( ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
          ( ( ( occurrence_of @ X4 @ X3 )
            & ( root_occ @ X6 @ X4 )
            & ( leaf_occ @ X7 @ X4 )
            & ( subactivity_occurrence @ X5 @ X4 )
            & ( min_precedes @ X6 @ X5 @ X3 )
            & ( X5 != X7 ) )
         => ( min_precedes @ X5 @ X7 @ X3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(93,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( ( occurrence_of @ X1 @ X0 )
            & ~ ( atomic @ X0 ) )
         => ? [X2: $i] :
              ( ( root @ X2 @ X0 )
              & ( subactivity_occurrence @ X2 @ X1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(94,plain,
    ( ( ( occurrence_of @ sK1_X105 @ tptp0 )
     => ? [SY108: $i,SY109: $i] :
          ( ( occurrence_of @ SY108 @ tptp3 )
          & ( root_occ @ SY108 @ sK1_X105 )
          & ( ( occurrence_of @ SY109 @ tptp2 )
            | ( occurrence_of @ SY109 @ tptp1 ) )
          & ( min_precedes @ SY108 @ SY109 @ tptp0 )
          & ( leaf_occ @ SY109 @ sK1_X105 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[48]) ).

thf(95,plain,
    ( ( occurrence_of @ sK1_X105 @ tptp0 )
    = $true ),
    inference(standard_cnf,[status(thm)],[94]) ).

thf(96,plain,
    ( ( ? [SY108: $i,SY109: $i] :
          ( ( occurrence_of @ SY108 @ tptp3 )
          & ( root_occ @ SY108 @ sK1_X105 )
          & ( ( occurrence_of @ SY109 @ tptp2 )
            | ( occurrence_of @ SY109 @ tptp1 ) )
          & ( min_precedes @ SY108 @ SY109 @ tptp0 )
          & ( leaf_occ @ SY109 @ sK1_X105 ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[94]) ).

thf(97,plain,
    ( ( ~ ? [SY108: $i,SY109: $i] :
            ( ( occurrence_of @ SY108 @ tptp3 )
            & ( root_occ @ SY108 @ sK1_X105 )
            & ( ( occurrence_of @ SY109 @ tptp2 )
              | ( occurrence_of @ SY109 @ tptp1 ) )
            & ( min_precedes @ SY108 @ SY109 @ tptp0 )
            & ( leaf_occ @ SY109 @ sK1_X105 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[96]) ).

thf(98,plain,
    ( ( ! [SY108: $i,SY109: $i] :
          ( ~ ( occurrence_of @ SY108 @ tptp3 )
          | ~ ( root_occ @ SY108 @ sK1_X105 )
          | ~ ( occurrence_of @ SY109 @ tptp2 )
          | ~ ( min_precedes @ SY108 @ SY109 @ tptp0 )
          | ~ ( leaf_occ @ SY109 @ sK1_X105 ) )
      & ! [SY108: $i,SY109: $i] :
          ( ~ ( occurrence_of @ SY108 @ tptp3 )
          | ~ ( root_occ @ SY108 @ sK1_X105 )
          | ~ ( occurrence_of @ SY109 @ tptp1 )
          | ~ ( min_precedes @ SY108 @ SY109 @ tptp0 )
          | ~ ( leaf_occ @ SY109 @ sK1_X105 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[97]) ).

thf(99,plain,
    ( ( ( tptp2 != tptp1 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[49]) ).

thf(100,plain,
    ( ( ( tptp3 != tptp1 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[50]) ).

thf(101,plain,
    ( ( ( tptp3 != tptp2 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[51]) ).

thf(102,plain,
    ( ( ( tptp4 != tptp1 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[52]) ).

thf(103,plain,
    ( ( ( tptp4 != tptp2 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[53]) ).

thf(104,plain,
    ( ( ( tptp4 != tptp3 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[54]) ).

thf(105,plain,
    ( ( ! [X101: $i] :
          ( ~ ( occurrence_of @ X101 @ tptp0 )
          | ( ( occurrence_of @ ( sK2_X102 @ X101 ) @ tptp3 )
            & ( root_occ @ ( sK2_X102 @ X101 ) @ X101 )
            & ( occurrence_of @ ( sK3_SY110 @ X101 ) @ tptp4 )
            & ( next_subocc @ ( sK2_X102 @ X101 ) @ ( sK3_SY110 @ X101 ) @ tptp0 )
            & ( ( occurrence_of @ ( sK4_SY112 @ X101 ) @ tptp2 )
              | ( occurrence_of @ ( sK4_SY112 @ X101 ) @ tptp1 ) )
            & ( next_subocc @ ( sK3_SY110 @ X101 ) @ ( sK4_SY112 @ X101 ) @ tptp0 )
            & ( leaf_occ @ ( sK4_SY112 @ X101 ) @ X101 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[61]) ).

thf(106,plain,
    ( ( ! [X97: $i,X98: $i,X99: $i,X100: $i] :
          ( ~ ( min_precedes @ X97 @ X98 @ X100 )
          | ~ ( min_precedes @ X97 @ X99 @ X100 )
          | ~ ( precedes @ X98 @ X99 )
          | ( min_precedes @ X98 @ X99 @ X100 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[62]) ).

thf(107,plain,
    ( ( ! [X94: $i,X95: $i,X96: $i] :
          ( ~ ( earlier @ X94 @ X95 )
          | ~ ( earlier @ X95 @ X96 )
          | ( earlier @ X94 @ X96 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[63]) ).

thf(108,plain,
    ( ( ! [X90: $i,X91: $i] :
          ( ! [X92: $i] :
              ( ! [X93: $i] :
                  ~ ( occurrence_of @ X92 @ X93 )
              | ~ ( root_occ @ X90 @ X92 )
              | ~ ( root_occ @ X91 @ X92 ) )
          | ( X90 = X91 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[64]) ).

thf(109,plain,
    ( ( ! [X86: $i,X87: $i] :
          ( ! [X88: $i] :
              ( ! [X89: $i] :
                  ( ~ ( occurrence_of @ X88 @ X89 )
                  | ( atomic @ X89 ) )
              | ~ ( leaf_occ @ X86 @ X88 )
              | ~ ( leaf_occ @ X87 @ X88 ) )
          | ( X86 = X87 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[65]) ).

thf(110,plain,
    ( ( ! [X82: $i,X83: $i,X84: $i,X85: $i] :
          ( ~ ( min_precedes @ X82 @ X83 @ X84 )
          | ~ ( occurrence_of @ X85 @ X84 )
          | ~ ( subactivity_occurrence @ X83 @ X85 )
          | ( subactivity_occurrence @ X82 @ X85 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[66]) ).

thf(111,plain,
    ( ( ! [X78: $i] :
          ( ! [X79: $i,X80: $i] :
              ( ~ ( min_precedes @ X78 @ X79 @ X80 )
              | ( ( min_precedes @ X78 @ ( sK5_X81 @ X80 @ X79 @ X78 ) @ X80 )
                & ( min_precedes @ ( sK5_X81 @ X80 @ X79 @ X78 ) @ X79 @ X80 ) )
              | ( next_subocc @ X78 @ X79 @ X80 ) )
          & ! [X79: $i,X80: $i] :
              ( ~ ( next_subocc @ X78 @ X79 @ X80 )
              | ( min_precedes @ X78 @ X79 @ X80 ) )
          & ! [X79: $i,X80: $i] :
              ( ~ ( next_subocc @ X78 @ X79 @ X80 )
              | ! [X81: $i] :
                  ( ~ ( min_precedes @ X78 @ X81 @ X80 )
                  | ~ ( min_precedes @ X81 @ X79 @ X80 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[67]) ).

thf(112,plain,
    ( ( ! [X75: $i] :
          ( ( ! [X76: $i,X77: $i] :
                ~ ( next_subocc @ X75 @ X76 @ X77 )
            | ( arboreal @ X75 ) )
          & ! [X76: $i] :
              ( ! [X77: $i] :
                  ~ ( next_subocc @ X75 @ X76 @ X77 )
              | ( arboreal @ X76 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[68]) ).

thf(113,plain,
    ( ( ! [X72: $i,X73: $i] :
          ( ! [X74: $i] :
              ~ ( min_precedes @ X72 @ X73 @ X74 )
          | ( precedes @ X72 @ X73 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[69]) ).

thf(114,plain,
    ( ( ! [X68: $i,X69: $i,X70: $i] :
          ( ~ ( min_precedes @ X68 @ X69 @ X70 )
          | ( ( min_precedes @ ( sK6_X71 @ X70 @ X69 @ X68 ) @ X69 @ X70 )
            & ( root @ ( sK6_X71 @ X70 @ X69 @ X68 ) @ X70 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[70]) ).

thf(115,plain,
    ( ( ! [X65: $i,X66: $i,X67: $i] :
          ( ~ ( min_precedes @ X65 @ X66 @ X67 )
          | ~ ( root @ X66 @ X67 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[71]) ).

thf(116,plain,
    ( ( ! [X63: $i,X64: $i] :
          ( ~ ( earlier @ X63 @ X64 )
          | ~ ( legal @ X64 )
          | ( precedes @ X63 @ X64 ) )
      & ! [X63: $i,X64: $i] :
          ( ~ ( precedes @ X63 @ X64 )
          | ( earlier @ X63 @ X64 ) )
      & ! [X63: $i,X64: $i] :
          ( ~ ( precedes @ X63 @ X64 )
          | ( legal @ X64 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[72]) ).

thf(117,plain,
    ( ( ! [X61: $i,X62: $i] :
          ( ~ ( earlier @ X61 @ X62 )
          | ~ ( earlier @ X62 @ X61 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[73]) ).

thf(118,plain,
    ( ( ! [X58: $i,X59: $i] :
          ( ! [X60: $i] :
              ( ~ ( occurrence_of @ X59 @ X60 )
              | ~ ( subactivity_occurrence @ X58 @ X59 )
              | ~ ( root @ X58 @ X60 ) )
          | ( root_occ @ X58 @ X59 ) )
      & ! [X58: $i,X59: $i] :
          ( ~ ( root_occ @ X58 @ X59 )
          | ( ( occurrence_of @ X59 @ ( sK7_X60 @ X59 @ X58 ) )
            & ( subactivity_occurrence @ X58 @ X59 )
            & ( root @ X58 @ ( sK7_X60 @ X59 @ X58 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[74]) ).

thf(119,plain,
    ( ( ! [X55: $i,X56: $i] :
          ( ! [X57: $i] :
              ( ~ ( occurrence_of @ X56 @ X57 )
              | ~ ( subactivity_occurrence @ X55 @ X56 )
              | ~ ( leaf @ X55 @ X57 ) )
          | ( leaf_occ @ X55 @ X56 ) )
      & ! [X55: $i,X56: $i] :
          ( ~ ( leaf_occ @ X55 @ X56 )
          | ( ( occurrence_of @ X56 @ ( sK8_X57 @ X56 @ X55 ) )
            & ( subactivity_occurrence @ X55 @ X56 )
            & ( leaf @ X55 @ ( sK8_X57 @ X56 @ X55 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[75]) ).

thf(120,plain,
    ( ( ! [X53: $i] :
          ( ! [X54: $i] :
              ~ ( root @ X53 @ X54 )
          | ( legal @ X53 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[76]) ).

thf(121,plain,
    ( ( ! [X51: $i,X52: $i] :
          ( ~ ( occurrence_of @ X51 @ X52 )
          | ~ ( arboreal @ X51 )
          | ( atomic @ X52 ) )
      & ! [X51: $i,X52: $i] :
          ( ~ ( occurrence_of @ X51 @ X52 )
          | ~ ( atomic @ X52 )
          | ( arboreal @ X51 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[77]) ).

thf(122,plain,
    ( ( ! [X47: $i,X48: $i] :
          ( ! [X49: $i] :
              ~ ( min_precedes @ X49 @ X47 @ X48 )
          | ( min_precedes @ X47 @ ( sK11_X50 @ X48 @ X47 ) @ X48 )
          | ( leaf @ X47 @ X48 ) )
      & ! [X47: $i,X48: $i] :
          ( ~ ( root @ X47 @ X48 )
          | ( min_precedes @ X47 @ ( sK10_X50 @ X48 @ X47 ) @ X48 )
          | ( leaf @ X47 @ X48 ) )
      & ! [X47: $i,X48: $i] :
          ( ~ ( leaf @ X47 @ X48 )
          | ( min_precedes @ ( sK9_X49 @ X48 @ X47 ) @ X47 @ X48 )
          | ( root @ X47 @ X48 ) )
      & ! [X47: $i,X48: $i] :
          ( ~ ( leaf @ X47 @ X48 )
          | ! [X50: $i] :
              ~ ( min_precedes @ X47 @ X50 @ X48 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[78]) ).

thf(123,plain,
    ( ( ! [X44: $i,X45: $i] :
          ( ! [X46: $i] :
              ( ~ ( atomic @ X46 )
              | ~ ( subactivity @ X45 @ X46 )
              | ~ ( occurrence_of @ X44 @ X46 ) )
          | ( atocc @ X44 @ X45 ) )
      & ! [X44: $i,X45: $i] :
          ( ~ ( atocc @ X44 @ X45 )
          | ( ( atomic @ ( sK12_X46 @ X45 @ X44 ) )
            & ( subactivity @ X45 @ ( sK12_X46 @ X45 @ X44 ) )
            & ( occurrence_of @ X44 @ ( sK12_X46 @ X45 @ X44 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[79]) ).

thf(124,plain,
    ( ( ! [X43: $i] :
          ( ~ ( legal @ X43 )
          | ( arboreal @ X43 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[80]) ).

thf(125,plain,
    ( ( ! [X41: $i] :
          ( ~ ( activity_occurrence @ X41 )
          | ( ( activity @ ( sK13_X42 @ X41 ) )
            & ( occurrence_of @ X41 @ ( sK13_X42 @ X41 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[81]) ).

thf(126,plain,
    ( ( ! [X39: $i] :
          ( ! [X40: $i] :
              ~ ( subactivity_occurrence @ X39 @ X40 )
          | ( activity_occurrence @ X39 ) )
      & ! [X39: $i,X40: $i] :
          ( ~ ( subactivity_occurrence @ X39 @ X40 )
          | ( activity_occurrence @ X40 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[82]) ).

thf(127,plain,
    ( ( ! [X35: $i,X36: $i,X37: $i] :
          ( ~ ( occurrence_of @ X35 @ X37 )
          | ~ ( root_occ @ X36 @ X35 )
          | ! [X38: $i] :
              ~ ( min_precedes @ X38 @ X36 @ X37 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[83]) ).

thf(128,plain,
    ( ( ! [X31: $i,X32: $i,X33: $i] :
          ( ~ ( leaf_occ @ X32 @ X31 )
          | ~ ( occurrence_of @ X31 @ X33 )
          | ! [X34: $i] :
              ~ ( min_precedes @ X32 @ X34 @ X33 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[84]) ).

thf(129,plain,
    ( ( ! [X28: $i,X29: $i,X30: $i] :
          ( ~ ( occurrence_of @ X28 @ X29 )
          | ~ ( occurrence_of @ X28 @ X30 )
          | ( X29 = X30 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[85]) ).

thf(130,plain,
    ( ( ! [X25: $i,X26: $i] :
          ( ~ ( leaf @ X25 @ X26 )
          | ( atomic @ X26 )
          | ( ( leaf_occ @ X25 @ ( sK14_X27 @ X26 @ X25 ) )
            & ( occurrence_of @ ( sK14_X27 @ X26 @ X25 ) @ X26 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[86]) ).

thf(131,plain,
    ( ( ! [X21: $i,X22: $i,X23: $i] :
          ( ~ ( min_precedes @ X22 @ X23 @ X21 )
          | ( ( occurrence_of @ ( sK15_X24 @ X23 @ X22 @ X21 ) @ X21 )
            & ( subactivity_occurrence @ X22 @ ( sK15_X24 @ X23 @ X22 @ X21 ) )
            & ( subactivity_occurrence @ X23 @ ( sK15_X24 @ X23 @ X22 @ X21 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[87]) ).

thf(132,plain,
    ( ( ! [X18: $i,X19: $i] :
          ( ~ ( root @ X19 @ X18 )
          | ( ( atocc @ X19 @ ( sK16_X20 @ X19 @ X18 ) )
            & ( subactivity @ ( sK16_X20 @ X19 @ X18 ) @ X18 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[88]) ).

thf(133,plain,
    ( ( ! [X14: $i,X15: $i,X16: $i,X17: $i] :
          ( ~ ( arboreal @ X16 )
          | ~ ( occurrence_of @ X15 @ X14 )
          | ~ ( arboreal @ X17 )
          | ~ ( subactivity_occurrence @ X16 @ X15 )
          | ~ ( subactivity_occurrence @ X17 @ X15 )
          | ( X16 = X17 )
          | ( min_precedes @ X16 @ X17 @ X14 )
          | ( min_precedes @ X17 @ X16 @ X14 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[89]) ).

thf(134,plain,
    ( ( ! [X12: $i] :
          ( ! [X13: $i] :
              ~ ( occurrence_of @ X13 @ X12 )
          | ( activity @ X12 ) )
      & ! [X12: $i,X13: $i] :
          ( ~ ( occurrence_of @ X13 @ X12 )
          | ( activity_occurrence @ X13 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[90]) ).

thf(135,plain,
    ( ( ! [X8: $i,X9: $i,X10: $i,X11: $i] :
          ( ~ ( occurrence_of @ X9 @ X8 )
          | ~ ( subactivity_occurrence @ X10 @ X9 )
          | ~ ( leaf_occ @ X11 @ X9 )
          | ~ ( arboreal @ X10 )
          | ( min_precedes @ X10 @ X11 @ X8 )
          | ( X11 = X10 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[91]) ).

thf(136,plain,
    ( ( ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
          ( ( X5 = X7 )
          | ~ ( occurrence_of @ X4 @ X3 )
          | ~ ( root_occ @ X6 @ X4 )
          | ~ ( leaf_occ @ X7 @ X4 )
          | ~ ( subactivity_occurrence @ X5 @ X4 )
          | ~ ( min_precedes @ X6 @ X5 @ X3 )
          | ( min_precedes @ X5 @ X7 @ X3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[92]) ).

thf(137,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ~ ( occurrence_of @ X1 @ X0 )
          | ( atomic @ X0 )
          | ( ( root @ ( sK17_X2 @ X1 @ X0 ) @ X0 )
            & ( subactivity_occurrence @ ( sK17_X2 @ X1 @ X0 ) @ X1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[93]) ).

thf(138,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ~ ( occurrence_of @ X1 @ X0 )
          | ( atomic @ X0 )
          | ( ( root @ ( sK17_X2 @ X1 @ X0 ) @ X0 )
            & ( subactivity_occurrence @ ( sK17_X2 @ X1 @ X0 ) @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[137]) ).

thf(139,plain,
    ( ( ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
          ( ( X5 = X7 )
          | ~ ( occurrence_of @ X4 @ X3 )
          | ~ ( root_occ @ X6 @ X4 )
          | ~ ( leaf_occ @ X7 @ X4 )
          | ~ ( subactivity_occurrence @ X5 @ X4 )
          | ~ ( min_precedes @ X6 @ X5 @ X3 )
          | ( min_precedes @ X5 @ X7 @ X3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[136]) ).

thf(140,plain,
    ( ( ! [X8: $i,X9: $i,X10: $i,X11: $i] :
          ( ~ ( occurrence_of @ X9 @ X8 )
          | ~ ( subactivity_occurrence @ X10 @ X9 )
          | ~ ( leaf_occ @ X11 @ X9 )
          | ~ ( arboreal @ X10 )
          | ( min_precedes @ X10 @ X11 @ X8 )
          | ( X11 = X10 ) ) )
    = $true ),
    inference(copy,[status(thm)],[135]) ).

thf(141,plain,
    ( ( ! [X12: $i] :
          ( ! [X13: $i] :
              ~ ( occurrence_of @ X13 @ X12 )
          | ( activity @ X12 ) )
      & ! [X12: $i,X13: $i] :
          ( ~ ( occurrence_of @ X13 @ X12 )
          | ( activity_occurrence @ X13 ) ) )
    = $true ),
    inference(copy,[status(thm)],[134]) ).

thf(142,plain,
    ( ( ! [X14: $i,X15: $i,X16: $i,X17: $i] :
          ( ~ ( arboreal @ X16 )
          | ~ ( occurrence_of @ X15 @ X14 )
          | ~ ( arboreal @ X17 )
          | ~ ( subactivity_occurrence @ X16 @ X15 )
          | ~ ( subactivity_occurrence @ X17 @ X15 )
          | ( X16 = X17 )
          | ( min_precedes @ X16 @ X17 @ X14 )
          | ( min_precedes @ X17 @ X16 @ X14 ) ) )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(143,plain,
    ( ( ! [X18: $i,X19: $i] :
          ( ~ ( root @ X19 @ X18 )
          | ( ( atocc @ X19 @ ( sK16_X20 @ X19 @ X18 ) )
            & ( subactivity @ ( sK16_X20 @ X19 @ X18 ) @ X18 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(144,plain,
    ( ( ! [X21: $i,X22: $i,X23: $i] :
          ( ~ ( min_precedes @ X22 @ X23 @ X21 )
          | ( ( occurrence_of @ ( sK15_X24 @ X23 @ X22 @ X21 ) @ X21 )
            & ( subactivity_occurrence @ X22 @ ( sK15_X24 @ X23 @ X22 @ X21 ) )
            & ( subactivity_occurrence @ X23 @ ( sK15_X24 @ X23 @ X22 @ X21 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[131]) ).

thf(145,plain,
    ( ( ! [X25: $i,X26: $i] :
          ( ~ ( leaf @ X25 @ X26 )
          | ( atomic @ X26 )
          | ( ( leaf_occ @ X25 @ ( sK14_X27 @ X26 @ X25 ) )
            & ( occurrence_of @ ( sK14_X27 @ X26 @ X25 ) @ X26 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[130]) ).

thf(146,plain,
    ( ( ! [X28: $i,X29: $i,X30: $i] :
          ( ~ ( occurrence_of @ X28 @ X29 )
          | ~ ( occurrence_of @ X28 @ X30 )
          | ( X29 = X30 ) ) )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(147,plain,
    ( ( ! [X31: $i,X32: $i,X33: $i] :
          ( ~ ( leaf_occ @ X32 @ X31 )
          | ~ ( occurrence_of @ X31 @ X33 )
          | ! [X34: $i] :
              ~ ( min_precedes @ X32 @ X34 @ X33 ) ) )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(148,plain,
    ( ( ! [X35: $i,X36: $i,X37: $i] :
          ( ~ ( occurrence_of @ X35 @ X37 )
          | ~ ( root_occ @ X36 @ X35 )
          | ! [X38: $i] :
              ~ ( min_precedes @ X38 @ X36 @ X37 ) ) )
    = $true ),
    inference(copy,[status(thm)],[127]) ).

thf(149,plain,
    ( ( ! [X39: $i] :
          ( ! [X40: $i] :
              ~ ( subactivity_occurrence @ X39 @ X40 )
          | ( activity_occurrence @ X39 ) )
      & ! [X39: $i,X40: $i] :
          ( ~ ( subactivity_occurrence @ X39 @ X40 )
          | ( activity_occurrence @ X40 ) ) )
    = $true ),
    inference(copy,[status(thm)],[126]) ).

thf(150,plain,
    ( ( ! [X41: $i] :
          ( ~ ( activity_occurrence @ X41 )
          | ( ( activity @ ( sK13_X42 @ X41 ) )
            & ( occurrence_of @ X41 @ ( sK13_X42 @ X41 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(151,plain,
    ( ( ! [X43: $i] :
          ( ~ ( legal @ X43 )
          | ( arboreal @ X43 ) ) )
    = $true ),
    inference(copy,[status(thm)],[124]) ).

thf(152,plain,
    ( ( ! [X44: $i,X45: $i] :
          ( ! [X46: $i] :
              ( ~ ( atomic @ X46 )
              | ~ ( subactivity @ X45 @ X46 )
              | ~ ( occurrence_of @ X44 @ X46 ) )
          | ( atocc @ X44 @ X45 ) )
      & ! [X44: $i,X45: $i] :
          ( ~ ( atocc @ X44 @ X45 )
          | ( ( atomic @ ( sK12_X46 @ X45 @ X44 ) )
            & ( subactivity @ X45 @ ( sK12_X46 @ X45 @ X44 ) )
            & ( occurrence_of @ X44 @ ( sK12_X46 @ X45 @ X44 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(153,plain,
    ( ( ! [X47: $i,X48: $i] :
          ( ! [X49: $i] :
              ~ ( min_precedes @ X49 @ X47 @ X48 )
          | ( min_precedes @ X47 @ ( sK11_X50 @ X48 @ X47 ) @ X48 )
          | ( leaf @ X47 @ X48 ) )
      & ! [X47: $i,X48: $i] :
          ( ~ ( root @ X47 @ X48 )
          | ( min_precedes @ X47 @ ( sK10_X50 @ X48 @ X47 ) @ X48 )
          | ( leaf @ X47 @ X48 ) )
      & ! [X47: $i,X48: $i] :
          ( ~ ( leaf @ X47 @ X48 )
          | ( min_precedes @ ( sK9_X49 @ X48 @ X47 ) @ X47 @ X48 )
          | ( root @ X47 @ X48 ) )
      & ! [X47: $i,X48: $i] :
          ( ~ ( leaf @ X47 @ X48 )
          | ! [X50: $i] :
              ~ ( min_precedes @ X47 @ X50 @ X48 ) ) )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(154,plain,
    ( ( ! [X51: $i,X52: $i] :
          ( ~ ( occurrence_of @ X51 @ X52 )
          | ~ ( arboreal @ X51 )
          | ( atomic @ X52 ) )
      & ! [X51: $i,X52: $i] :
          ( ~ ( occurrence_of @ X51 @ X52 )
          | ~ ( atomic @ X52 )
          | ( arboreal @ X51 ) ) )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(155,plain,
    ( ( ! [X53: $i] :
          ( ! [X54: $i] :
              ~ ( root @ X53 @ X54 )
          | ( legal @ X53 ) ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(156,plain,
    ( ( ! [X55: $i,X56: $i] :
          ( ! [X57: $i] :
              ( ~ ( occurrence_of @ X56 @ X57 )
              | ~ ( subactivity_occurrence @ X55 @ X56 )
              | ~ ( leaf @ X55 @ X57 ) )
          | ( leaf_occ @ X55 @ X56 ) )
      & ! [X55: $i,X56: $i] :
          ( ~ ( leaf_occ @ X55 @ X56 )
          | ( ( occurrence_of @ X56 @ ( sK8_X57 @ X56 @ X55 ) )
            & ( subactivity_occurrence @ X55 @ X56 )
            & ( leaf @ X55 @ ( sK8_X57 @ X56 @ X55 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(157,plain,
    ( ( ! [X58: $i,X59: $i] :
          ( ! [X60: $i] :
              ( ~ ( occurrence_of @ X59 @ X60 )
              | ~ ( subactivity_occurrence @ X58 @ X59 )
              | ~ ( root @ X58 @ X60 ) )
          | ( root_occ @ X58 @ X59 ) )
      & ! [X58: $i,X59: $i] :
          ( ~ ( root_occ @ X58 @ X59 )
          | ( ( occurrence_of @ X59 @ ( sK7_X60 @ X59 @ X58 ) )
            & ( subactivity_occurrence @ X58 @ X59 )
            & ( root @ X58 @ ( sK7_X60 @ X59 @ X58 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(158,plain,
    ( ( ! [X61: $i,X62: $i] :
          ( ~ ( earlier @ X61 @ X62 )
          | ~ ( earlier @ X62 @ X61 ) ) )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(159,plain,
    ( ( ! [X63: $i,X64: $i] :
          ( ~ ( earlier @ X63 @ X64 )
          | ~ ( legal @ X64 )
          | ( precedes @ X63 @ X64 ) )
      & ! [X63: $i,X64: $i] :
          ( ~ ( precedes @ X63 @ X64 )
          | ( earlier @ X63 @ X64 ) )
      & ! [X63: $i,X64: $i] :
          ( ~ ( precedes @ X63 @ X64 )
          | ( legal @ X64 ) ) )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(160,plain,
    ( ( ! [X65: $i,X66: $i,X67: $i] :
          ( ~ ( min_precedes @ X65 @ X66 @ X67 )
          | ~ ( root @ X66 @ X67 ) ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(161,plain,
    ( ( ! [X68: $i,X69: $i,X70: $i] :
          ( ~ ( min_precedes @ X68 @ X69 @ X70 )
          | ( ( min_precedes @ ( sK6_X71 @ X70 @ X69 @ X68 ) @ X69 @ X70 )
            & ( root @ ( sK6_X71 @ X70 @ X69 @ X68 ) @ X70 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(162,plain,
    ( ( ! [X72: $i,X73: $i] :
          ( ! [X74: $i] :
              ~ ( min_precedes @ X72 @ X73 @ X74 )
          | ( precedes @ X72 @ X73 ) ) )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(163,plain,
    ( ( ! [X75: $i] :
          ( ( ! [X76: $i,X77: $i] :
                ~ ( next_subocc @ X75 @ X76 @ X77 )
            | ( arboreal @ X75 ) )
          & ! [X76: $i] :
              ( ! [X77: $i] :
                  ~ ( next_subocc @ X75 @ X76 @ X77 )
              | ( arboreal @ X76 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(164,plain,
    ( ( ! [X78: $i] :
          ( ! [X79: $i,X80: $i] :
              ( ~ ( min_precedes @ X78 @ X79 @ X80 )
              | ( ( min_precedes @ X78 @ ( sK5_X81 @ X80 @ X79 @ X78 ) @ X80 )
                & ( min_precedes @ ( sK5_X81 @ X80 @ X79 @ X78 ) @ X79 @ X80 ) )
              | ( next_subocc @ X78 @ X79 @ X80 ) )
          & ! [X79: $i,X80: $i] :
              ( ~ ( next_subocc @ X78 @ X79 @ X80 )
              | ( min_precedes @ X78 @ X79 @ X80 ) )
          & ! [X79: $i,X80: $i] :
              ( ~ ( next_subocc @ X78 @ X79 @ X80 )
              | ! [X81: $i] :
                  ( ~ ( min_precedes @ X78 @ X81 @ X80 )
                  | ~ ( min_precedes @ X81 @ X79 @ X80 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(165,plain,
    ( ( ! [X82: $i,X83: $i,X84: $i,X85: $i] :
          ( ~ ( min_precedes @ X82 @ X83 @ X84 )
          | ~ ( occurrence_of @ X85 @ X84 )
          | ~ ( subactivity_occurrence @ X83 @ X85 )
          | ( subactivity_occurrence @ X82 @ X85 ) ) )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(166,plain,
    ( ( ! [X86: $i,X87: $i] :
          ( ! [X88: $i] :
              ( ! [X89: $i] :
                  ( ~ ( occurrence_of @ X88 @ X89 )
                  | ( atomic @ X89 ) )
              | ~ ( leaf_occ @ X86 @ X88 )
              | ~ ( leaf_occ @ X87 @ X88 ) )
          | ( X86 = X87 ) ) )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(167,plain,
    ( ( ! [X90: $i,X91: $i] :
          ( ! [X92: $i] :
              ( ! [X93: $i] :
                  ~ ( occurrence_of @ X92 @ X93 )
              | ~ ( root_occ @ X90 @ X92 )
              | ~ ( root_occ @ X91 @ X92 ) )
          | ( X90 = X91 ) ) )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(168,plain,
    ( ( ! [X94: $i,X95: $i,X96: $i] :
          ( ~ ( earlier @ X94 @ X95 )
          | ~ ( earlier @ X95 @ X96 )
          | ( earlier @ X94 @ X96 ) ) )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(169,plain,
    ( ( ! [X97: $i,X98: $i,X99: $i,X100: $i] :
          ( ~ ( min_precedes @ X97 @ X98 @ X100 )
          | ~ ( min_precedes @ X97 @ X99 @ X100 )
          | ~ ( precedes @ X98 @ X99 )
          | ( min_precedes @ X98 @ X99 @ X100 ) ) )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(170,plain,
    ( ( ! [X101: $i] :
          ( ~ ( occurrence_of @ X101 @ tptp0 )
          | ( ( occurrence_of @ ( sK2_X102 @ X101 ) @ tptp3 )
            & ( root_occ @ ( sK2_X102 @ X101 ) @ X101 )
            & ( occurrence_of @ ( sK3_SY110 @ X101 ) @ tptp4 )
            & ( next_subocc @ ( sK2_X102 @ X101 ) @ ( sK3_SY110 @ X101 ) @ tptp0 )
            & ( ( occurrence_of @ ( sK4_SY112 @ X101 ) @ tptp2 )
              | ( occurrence_of @ ( sK4_SY112 @ X101 ) @ tptp1 ) )
            & ( next_subocc @ ( sK3_SY110 @ X101 ) @ ( sK4_SY112 @ X101 ) @ tptp0 )
            & ( leaf_occ @ ( sK4_SY112 @ X101 ) @ X101 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(171,plain,
    ( ( activity @ tptp0 )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(172,plain,
    ( ( ~ ( atomic @ tptp0 ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(173,plain,
    ( ( atomic @ tptp4 )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(174,plain,
    ( ( atomic @ tptp2 )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(175,plain,
    ( ( atomic @ tptp1 )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(176,plain,
    ( ( atomic @ tptp3 )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(177,plain,
    ( ( ( tptp4 != tptp3 ) )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(178,plain,
    ( ( ( tptp4 != tptp2 ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(179,plain,
    ( ( ( tptp4 != tptp1 ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(180,plain,
    ( ( ( tptp3 != tptp2 ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(181,plain,
    ( ( ( tptp3 != tptp1 ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(182,plain,
    ( ( ( tptp2 != tptp1 ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(183,plain,
    ( ( occurrence_of @ sK1_X105 @ tptp0 )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(184,plain,
    ( ( ! [SY108: $i,SY109: $i] :
          ( ~ ( occurrence_of @ SY108 @ tptp3 )
          | ~ ( root_occ @ SY108 @ sK1_X105 )
          | ~ ( occurrence_of @ SY109 @ tptp2 )
          | ~ ( min_precedes @ SY108 @ SY109 @ tptp0 )
          | ~ ( leaf_occ @ SY109 @ sK1_X105 ) )
      & ! [SY108: $i,SY109: $i] :
          ( ~ ( occurrence_of @ SY108 @ tptp3 )
          | ~ ( root_occ @ SY108 @ sK1_X105 )
          | ~ ( occurrence_of @ SY109 @ tptp1 )
          | ~ ( min_precedes @ SY108 @ SY109 @ tptp0 )
          | ~ ( leaf_occ @ SY109 @ sK1_X105 ) ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(185,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( subactivity_occurrence @ SX0 @ SX1 )
                | ( activity_occurrence @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( subactivity_occurrence @ SX0 @ SX1 )
                | ( activity_occurrence @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(186,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ! [SX1: $i,SX2: $i] :
                    ~ ( next_subocc @ SX0 @ SX1 @ SX2 )
                | ( arboreal @ SX0 ) )
            | ~ ! [SX1: $i] :
                  ( ! [SX2: $i] :
                      ~ ( next_subocc @ SX0 @ SX1 @ SX2 )
                  | ( arboreal @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(187,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( occurrence_of @ SX0 @ tptp0 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SX0 ) @ tptp3 )
                                            | ~ ( root_occ @ ( sK2_X102 @ SX0 ) @ SX0 ) )
                                      | ~ ( occurrence_of @ ( sK3_SY110 @ SX0 ) @ tptp4 ) )
                                | ~ ( next_subocc @ ( sK2_X102 @ SX0 ) @ ( sK3_SY110 @ SX0 ) @ tptp0 ) )
                          | ~ ( ( occurrence_of @ ( sK4_SY112 @ SX0 ) @ tptp2 )
                              | ( occurrence_of @ ( sK4_SY112 @ SX0 ) @ tptp1 ) ) )
                    | ~ ( next_subocc @ ( sK3_SY110 @ SX0 ) @ ( sK4_SY112 @ SX0 ) @ tptp0 ) )
              | ~ ( leaf_occ @ ( sK4_SY112 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(188,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( occurrence_of @ SX1 @ SX0 )
          | ( atomic @ SX0 )
          | ~ ( ~ ( root @ ( sK17_X2 @ SX1 @ SX0 ) @ SX0 )
              | ~ ( subactivity_occurrence @ ( sK17_X2 @ SX1 @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(189,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( occurrence_of @ SX0 @ SX1 )
                | ~ ( arboreal @ SX0 )
                | ( atomic @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( occurrence_of @ SX0 @ SX1 )
                | ~ ( atomic @ SX1 )
                | ( arboreal @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(190,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ! [SX2: $i] :
                    ( ~ ( occurrence_of @ SX1 @ SX2 )
                    | ~ ( subactivity_occurrence @ SX0 @ SX1 )
                    | ~ ( leaf @ SX0 @ SX2 ) )
                | ( leaf_occ @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( leaf_occ @ SX0 @ SX1 )
                | ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ ( sK8_X57 @ SX1 @ SX0 ) )
                          | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                    | ~ ( leaf @ SX0 @ ( sK8_X57 @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(191,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
                  | ~ ( ~ ( min_precedes @ SX0 @ ( sK5_X81 @ SX2 @ SX1 @ SX0 ) @ SX2 )
                      | ~ ( min_precedes @ ( sK5_X81 @ SX2 @ SX1 @ SX0 ) @ SX1 @ SX2 ) )
                  | ( next_subocc @ SX0 @ SX1 @ SX2 ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( next_subocc @ SX0 @ SX1 @ SX2 )
                        | ( min_precedes @ SX0 @ SX1 @ SX2 ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( next_subocc @ SX0 @ SX1 @ SX2 )
                        | ! [SX3: $i] :
                            ( ~ ( min_precedes @ SX0 @ SX3 @ SX2 )
                            | ~ ( min_precedes @ SX3 @ SX1 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(192,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ! [SX2: $i] :
                          ~ ( min_precedes @ SX2 @ SX0 @ SX1 )
                      | ( min_precedes @ SX0 @ ( sK11_X50 @ SX1 @ SX0 ) @ SX1 )
                      | ( leaf @ SX0 @ SX1 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( root @ SX0 @ SX1 )
                      | ( min_precedes @ SX0 @ ( sK10_X50 @ SX1 @ SX0 ) @ SX1 )
                      | ( leaf @ SX0 @ SX1 ) ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( leaf @ SX0 @ SX1 )
                      | ( min_precedes @ ( sK9_X49 @ SX1 @ SX0 ) @ SX0 @ SX1 )
                      | ( root @ SX0 @ SX1 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( leaf @ SX0 @ SX1 )
                      | ! [SX2: $i] :
                          ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(193,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( occurrence_of @ SX0 @ tptp3 )
                | ~ ( root_occ @ SX0 @ sK1_X105 )
                | ~ ( occurrence_of @ SX1 @ tptp2 )
                | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 )
                | ~ ( leaf_occ @ SX1 @ sK1_X105 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( occurrence_of @ SX0 @ tptp3 )
                | ~ ( root_occ @ SX0 @ sK1_X105 )
                | ~ ( occurrence_of @ SX1 @ tptp1 )
                | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 )
                | ~ ( leaf_occ @ SX1 @ sK1_X105 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(194,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ! [SX2: $i] :
                    ( ~ ( occurrence_of @ SX1 @ SX2 )
                    | ~ ( subactivity_occurrence @ SX0 @ SX1 )
                    | ~ ( root @ SX0 @ SX2 ) )
                | ( root_occ @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( root_occ @ SX0 @ SX1 )
                | ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ ( sK7_X60 @ SX1 @ SX0 ) )
                          | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                    | ~ ( root @ SX0 @ ( sK7_X60 @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(195,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( min_precedes @ SX1 @ SX2 @ SX0 )
          | ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SX2 @ SX1 @ SX0 ) @ SX0 )
                    | ~ ( subactivity_occurrence @ SX1 @ ( sK15_X24 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ( subactivity_occurrence @ SX2 @ ( sK15_X24 @ SX2 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[144]) ).

thf(196,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
          | ~ ( ~ ( min_precedes @ ( sK6_X71 @ SX2 @ SX1 @ SX0 ) @ SX1 @ SX2 )
              | ~ ( root @ ( sK6_X71 @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(197,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( activity_occurrence @ SX0 )
          | ~ ( ~ ( activity @ ( sK13_X42 @ SX0 ) )
              | ~ ( occurrence_of @ SX0 @ ( sK13_X42 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(198,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( root @ SX1 @ SX0 )
          | ~ ( ~ ( atocc @ SX1 @ ( sK16_X20 @ SX1 @ SX0 ) )
              | ~ ( subactivity @ ( sK16_X20 @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(199,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( earlier @ SX0 @ SX1 )
                | ~ ( legal @ SX1 )
                | ( precedes @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( precedes @ SX0 @ SX1 )
                      | ( earlier @ SX0 @ SX1 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( precedes @ SX0 @ SX1 )
                      | ( legal @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(200,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ! [SX2: $i] :
                    ( ~ ( atomic @ SX2 )
                    | ~ ( subactivity @ SX1 @ SX2 )
                    | ~ ( occurrence_of @ SX0 @ SX2 ) )
                | ( atocc @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( atocc @ SX0 @ SX1 )
                | ~ ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SX1 @ SX0 ) )
                          | ~ ( subactivity @ SX1 @ ( sK12_X46 @ SX1 @ SX0 ) ) )
                    | ~ ( occurrence_of @ SX0 @ ( sK12_X46 @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(201,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( occurrence_of @ SX1 @ SX0 )
                | ( activity @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( occurrence_of @ SX1 @ SX0 )
                | ( activity_occurrence @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141]) ).

thf(202,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leaf @ SX0 @ SX1 )
          | ( atomic @ SX1 )
          | ~ ( ~ ( leaf_occ @ SX0 @ ( sK14_X27 @ SX1 @ SX0 ) )
              | ~ ( occurrence_of @ ( sK14_X27 @ SX1 @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(203,plain,
    ! [SV1: $i] :
      ( ( ! [SY113: $i,SY114: $i,SY115: $i,SY116: $i] :
            ( ( SY114 = SY116 )
            | ~ ( occurrence_of @ SY113 @ SV1 )
            | ~ ( root_occ @ SY115 @ SY113 )
            | ~ ( leaf_occ @ SY116 @ SY113 )
            | ~ ( subactivity_occurrence @ SY114 @ SY113 )
            | ~ ( min_precedes @ SY115 @ SY114 @ SV1 )
            | ( min_precedes @ SY114 @ SY116 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[139]) ).

thf(204,plain,
    ! [SV2: $i] :
      ( ( ! [SY117: $i,SY118: $i,SY119: $i] :
            ( ~ ( occurrence_of @ SY117 @ SV2 )
            | ~ ( subactivity_occurrence @ SY118 @ SY117 )
            | ~ ( leaf_occ @ SY119 @ SY117 )
            | ~ ( arboreal @ SY118 )
            | ( min_precedes @ SY118 @ SY119 @ SV2 )
            | ( SY119 = SY118 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[140]) ).

thf(205,plain,
    ! [SV3: $i] :
      ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
            ( ~ ( arboreal @ SY121 )
            | ~ ( occurrence_of @ SY120 @ SV3 )
            | ~ ( arboreal @ SY122 )
            | ~ ( subactivity_occurrence @ SY121 @ SY120 )
            | ~ ( subactivity_occurrence @ SY122 @ SY120 )
            | ( SY121 = SY122 )
            | ( min_precedes @ SY121 @ SY122 @ SV3 )
            | ( min_precedes @ SY122 @ SY121 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[142]) ).

thf(206,plain,
    ! [SV4: $i] :
      ( ( ! [SY123: $i,SY124: $i] :
            ( ~ ( occurrence_of @ SV4 @ SY123 )
            | ~ ( occurrence_of @ SV4 @ SY124 )
            | ( SY123 = SY124 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(207,plain,
    ! [SV5: $i] :
      ( ( ! [SY125: $i,SY126: $i] :
            ( ~ ( leaf_occ @ SY125 @ SV5 )
            | ~ ( occurrence_of @ SV5 @ SY126 )
            | ! [X34: $i] :
                ~ ( min_precedes @ SY125 @ X34 @ SY126 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[147]) ).

thf(208,plain,
    ! [SV6: $i] :
      ( ( ! [SY128: $i,SY129: $i] :
            ( ~ ( occurrence_of @ SV6 @ SY129 )
            | ~ ( root_occ @ SY128 @ SV6 )
            | ! [X38: $i] :
                ~ ( min_precedes @ X38 @ SY128 @ SY129 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[148]) ).

thf(209,plain,
    ! [SV7: $i] :
      ( ( ~ ( legal @ SV7 )
        | ( arboreal @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[151]) ).

thf(210,plain,
    ! [SV8: $i] :
      ( ( ! [SY131: $i] :
            ~ ( root @ SV8 @ SY131 )
        | ( legal @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[155]) ).

thf(211,plain,
    ! [SV9: $i] :
      ( ( ! [SY132: $i] :
            ( ~ ( earlier @ SV9 @ SY132 )
            | ~ ( earlier @ SY132 @ SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[158]) ).

thf(212,plain,
    ! [SV10: $i] :
      ( ( ! [SY133: $i,SY134: $i] :
            ( ~ ( min_precedes @ SV10 @ SY133 @ SY134 )
            | ~ ( root @ SY133 @ SY134 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(213,plain,
    ! [SV11: $i] :
      ( ( ! [SY135: $i] :
            ( ! [SY136: $i] :
                ~ ( min_precedes @ SV11 @ SY135 @ SY136 )
            | ( precedes @ SV11 @ SY135 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[162]) ).

thf(214,plain,
    ! [SV12: $i] :
      ( ( ! [SY137: $i,SY138: $i,SY139: $i] :
            ( ~ ( min_precedes @ SV12 @ SY137 @ SY138 )
            | ~ ( occurrence_of @ SY139 @ SY138 )
            | ~ ( subactivity_occurrence @ SY137 @ SY139 )
            | ( subactivity_occurrence @ SV12 @ SY139 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(215,plain,
    ! [SV13: $i] :
      ( ( ! [SY140: $i] :
            ( ! [SY141: $i] :
                ( ! [X89: $i] :
                    ( ~ ( occurrence_of @ SY141 @ X89 )
                    | ( atomic @ X89 ) )
                | ~ ( leaf_occ @ SV13 @ SY141 )
                | ~ ( leaf_occ @ SY140 @ SY141 ) )
            | ( SV13 = SY140 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[166]) ).

thf(216,plain,
    ! [SV14: $i] :
      ( ( ! [SY143: $i] :
            ( ! [SY144: $i] :
                ( ! [X93: $i] :
                    ~ ( occurrence_of @ SY144 @ X93 )
                | ~ ( root_occ @ SV14 @ SY144 )
                | ~ ( root_occ @ SY143 @ SY144 ) )
            | ( SV14 = SY143 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[167]) ).

thf(217,plain,
    ! [SV15: $i] :
      ( ( ! [SY146: $i,SY147: $i] :
            ( ~ ( earlier @ SV15 @ SY146 )
            | ~ ( earlier @ SY146 @ SY147 )
            | ( earlier @ SV15 @ SY147 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(218,plain,
    ! [SV16: $i] :
      ( ( ! [SY148: $i,SY149: $i,SY150: $i] :
            ( ~ ( min_precedes @ SV16 @ SY148 @ SY150 )
            | ~ ( min_precedes @ SV16 @ SY149 @ SY150 )
            | ~ ( precedes @ SY148 @ SY149 )
            | ( min_precedes @ SY148 @ SY149 @ SY150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[169]) ).

thf(219,plain,
    ( ( atomic @ tptp0 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[172]) ).

thf(220,plain,
    ( ( tptp4 = tptp3 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[177]) ).

thf(221,plain,
    ( ( tptp4 = tptp2 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(222,plain,
    ( ( tptp4 = tptp1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[179]) ).

thf(223,plain,
    ( ( tptp3 = tptp2 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(224,plain,
    ( ( tptp3 = tptp1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(225,plain,
    ( ( tptp2 = tptp1 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(226,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( subactivity_occurrence @ SX0 @ SX1 )
            | ( activity_occurrence @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( subactivity_occurrence @ SX0 @ SX1 )
            | ( activity_occurrence @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(227,plain,
    ! [SV17: $i] :
      ( ( ~ ( ~ ( ! [SY151: $i,SY152: $i] :
                    ~ ( next_subocc @ SV17 @ SY151 @ SY152 )
                | ( arboreal @ SV17 ) )
            | ~ ! [SY153: $i] :
                  ( ! [SY154: $i] :
                      ~ ( next_subocc @ SV17 @ SY153 @ SY154 )
                  | ( arboreal @ SY153 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[186]) ).

thf(228,plain,
    ! [SV18: $i] :
      ( ( ~ ( occurrence_of @ SV18 @ tptp0 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                          | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                                    | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                              | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
                        | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                            | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
                  | ~ ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 ) )
            | ~ ( leaf_occ @ ( sK4_SY112 @ SV18 ) @ SV18 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[187]) ).

thf(229,plain,
    ! [SV19: $i] :
      ( ( ! [SY155: $i] :
            ( ~ ( occurrence_of @ SY155 @ SV19 )
            | ( atomic @ SV19 )
            | ~ ( ~ ( root @ ( sK17_X2 @ SY155 @ SV19 ) @ SV19 )
                | ~ ( subactivity_occurrence @ ( sK17_X2 @ SY155 @ SV19 ) @ SY155 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(230,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX0 @ SX1 )
            | ~ ( arboreal @ SX0 )
            | ( atomic @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX0 @ SX1 )
            | ~ ( atomic @ SX1 )
            | ( arboreal @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[189]) ).

thf(231,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i] :
                ( ~ ( occurrence_of @ SX1 @ SX2 )
                | ~ ( subactivity_occurrence @ SX0 @ SX1 )
                | ~ ( leaf @ SX0 @ SX2 ) )
            | ( leaf_occ @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leaf_occ @ SX0 @ SX1 )
            | ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ ( sK8_X57 @ SX1 @ SX0 ) )
                      | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                | ~ ( leaf @ SX0 @ ( sK8_X57 @ SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[190]) ).

thf(232,plain,
    ! [SV20: $i] :
      ( ( ~ ( ~ ! [SY156: $i,SY157: $i] :
                  ( ~ ( min_precedes @ SV20 @ SY156 @ SY157 )
                  | ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SY157 @ SY156 @ SV20 ) @ SY157 )
                      | ~ ( min_precedes @ ( sK5_X81 @ SY157 @ SY156 @ SV20 ) @ SY156 @ SY157 ) )
                  | ( next_subocc @ SV20 @ SY156 @ SY157 ) )
            | ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
                        ( ~ ( next_subocc @ SV20 @ SY158 @ SY159 )
                        | ( min_precedes @ SV20 @ SY158 @ SY159 ) )
                  | ~ ! [SY160: $i,SY161: $i] :
                        ( ~ ( next_subocc @ SV20 @ SY160 @ SY161 )
                        | ! [SY162: $i] :
                            ( ~ ( min_precedes @ SV20 @ SY162 @ SY161 )
                            | ~ ( min_precedes @ SY162 @ SY160 @ SY161 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[191]) ).

thf(233,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ! [SX2: $i] :
                      ~ ( min_precedes @ SX2 @ SX0 @ SX1 )
                  | ( min_precedes @ SX0 @ ( sK11_X50 @ SX1 @ SX0 ) @ SX1 )
                  | ( leaf @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( root @ SX0 @ SX1 )
                  | ( min_precedes @ SX0 @ ( sK10_X50 @ SX1 @ SX0 ) @ SX1 )
                  | ( leaf @ SX0 @ SX1 ) ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( leaf @ SX0 @ SX1 )
                  | ( min_precedes @ ( sK9_X49 @ SX1 @ SX0 ) @ SX0 @ SX1 )
                  | ( root @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( leaf @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[192]) ).

thf(234,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX0 @ tptp3 )
            | ~ ( root_occ @ SX0 @ sK1_X105 )
            | ~ ( occurrence_of @ SX1 @ tptp2 )
            | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 )
            | ~ ( leaf_occ @ SX1 @ sK1_X105 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX0 @ tptp3 )
            | ~ ( root_occ @ SX0 @ sK1_X105 )
            | ~ ( occurrence_of @ SX1 @ tptp1 )
            | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 )
            | ~ ( leaf_occ @ SX1 @ sK1_X105 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(235,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i] :
                ( ~ ( occurrence_of @ SX1 @ SX2 )
                | ~ ( subactivity_occurrence @ SX0 @ SX1 )
                | ~ ( root @ SX0 @ SX2 ) )
            | ( root_occ @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( root_occ @ SX0 @ SX1 )
            | ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ ( sK7_X60 @ SX1 @ SX0 ) )
                      | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                | ~ ( root @ SX0 @ ( sK7_X60 @ SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[194]) ).

thf(236,plain,
    ! [SV21: $i] :
      ( ( ! [SY163: $i,SY164: $i] :
            ( ~ ( min_precedes @ SY163 @ SY164 @ SV21 )
            | ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SY164 @ SY163 @ SV21 ) @ SV21 )
                      | ~ ( subactivity_occurrence @ SY163 @ ( sK15_X24 @ SY164 @ SY163 @ SV21 ) ) )
                | ~ ( subactivity_occurrence @ SY164 @ ( sK15_X24 @ SY164 @ SY163 @ SV21 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[195]) ).

thf(237,plain,
    ! [SV22: $i] :
      ( ( ! [SY165: $i,SY166: $i] :
            ( ~ ( min_precedes @ SV22 @ SY165 @ SY166 )
            | ~ ( ~ ( min_precedes @ ( sK6_X71 @ SY166 @ SY165 @ SV22 ) @ SY165 @ SY166 )
                | ~ ( root @ ( sK6_X71 @ SY166 @ SY165 @ SV22 ) @ SY166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[196]) ).

thf(238,plain,
    ! [SV23: $i] :
      ( ( ~ ( activity_occurrence @ SV23 )
        | ~ ( ~ ( activity @ ( sK13_X42 @ SV23 ) )
            | ~ ( occurrence_of @ SV23 @ ( sK13_X42 @ SV23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[197]) ).

thf(239,plain,
    ! [SV24: $i] :
      ( ( ! [SY167: $i] :
            ( ~ ( root @ SY167 @ SV24 )
            | ~ ( ~ ( atocc @ SY167 @ ( sK16_X20 @ SY167 @ SV24 ) )
                | ~ ( subactivity @ ( sK16_X20 @ SY167 @ SV24 ) @ SV24 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[198]) ).

thf(240,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( earlier @ SX0 @ SX1 )
            | ~ ( legal @ SX1 )
            | ( precedes @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( precedes @ SX0 @ SX1 )
                  | ( earlier @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( precedes @ SX0 @ SX1 )
                  | ( legal @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(241,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i] :
                ( ~ ( atomic @ SX2 )
                | ~ ( subactivity @ SX1 @ SX2 )
                | ~ ( occurrence_of @ SX0 @ SX2 ) )
            | ( atocc @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( atocc @ SX0 @ SX1 )
            | ~ ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SX1 @ SX0 ) )
                      | ~ ( subactivity @ SX1 @ ( sK12_X46 @ SX1 @ SX0 ) ) )
                | ~ ( occurrence_of @ SX0 @ ( sK12_X46 @ SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(242,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( occurrence_of @ SX1 @ SX0 )
            | ( activity @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX1 @ SX0 )
            | ( activity_occurrence @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(243,plain,
    ! [SV25: $i] :
      ( ( ! [SY168: $i] :
            ( ~ ( leaf @ SV25 @ SY168 )
            | ( atomic @ SY168 )
            | ~ ( ~ ( leaf_occ @ SV25 @ ( sK14_X27 @ SY168 @ SV25 ) )
                | ~ ( occurrence_of @ ( sK14_X27 @ SY168 @ SV25 ) @ SY168 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[202]) ).

thf(244,plain,
    ! [SV1: $i,SV26: $i] :
      ( ( ! [SY169: $i,SY170: $i,SY171: $i] :
            ( ( SY169 = SY171 )
            | ~ ( occurrence_of @ SV26 @ SV1 )
            | ~ ( root_occ @ SY170 @ SV26 )
            | ~ ( leaf_occ @ SY171 @ SV26 )
            | ~ ( subactivity_occurrence @ SY169 @ SV26 )
            | ~ ( min_precedes @ SY170 @ SY169 @ SV1 )
            | ( min_precedes @ SY169 @ SY171 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[203]) ).

thf(245,plain,
    ! [SV2: $i,SV27: $i] :
      ( ( ! [SY172: $i,SY173: $i] :
            ( ~ ( occurrence_of @ SV27 @ SV2 )
            | ~ ( subactivity_occurrence @ SY172 @ SV27 )
            | ~ ( leaf_occ @ SY173 @ SV27 )
            | ~ ( arboreal @ SY172 )
            | ( min_precedes @ SY172 @ SY173 @ SV2 )
            | ( SY173 = SY172 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[204]) ).

thf(246,plain,
    ! [SV3: $i,SV28: $i] :
      ( ( ! [SY174: $i,SY175: $i] :
            ( ~ ( arboreal @ SY174 )
            | ~ ( occurrence_of @ SV28 @ SV3 )
            | ~ ( arboreal @ SY175 )
            | ~ ( subactivity_occurrence @ SY174 @ SV28 )
            | ~ ( subactivity_occurrence @ SY175 @ SV28 )
            | ( SY174 = SY175 )
            | ( min_precedes @ SY174 @ SY175 @ SV3 )
            | ( min_precedes @ SY175 @ SY174 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(247,plain,
    ! [SV29: $i,SV4: $i] :
      ( ( ! [SY176: $i] :
            ( ~ ( occurrence_of @ SV4 @ SV29 )
            | ~ ( occurrence_of @ SV4 @ SY176 )
            | ( SV29 = SY176 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[206]) ).

thf(248,plain,
    ! [SV5: $i,SV30: $i] :
      ( ( ! [SY177: $i] :
            ( ~ ( leaf_occ @ SV30 @ SV5 )
            | ~ ( occurrence_of @ SV5 @ SY177 )
            | ! [SY178: $i] :
                ~ ( min_precedes @ SV30 @ SY178 @ SY177 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[207]) ).

thf(249,plain,
    ! [SV31: $i,SV6: $i] :
      ( ( ! [SY179: $i] :
            ( ~ ( occurrence_of @ SV6 @ SY179 )
            | ~ ( root_occ @ SV31 @ SV6 )
            | ! [SY180: $i] :
                ~ ( min_precedes @ SY180 @ SV31 @ SY179 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[208]) ).

thf(250,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( legal @ SV7 ) )
        = $true )
      | ( ( arboreal @ SV7 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[209]) ).

thf(251,plain,
    ! [SV8: $i] :
      ( ( ( ! [SY131: $i] :
              ~ ( root @ SV8 @ SY131 ) )
        = $true )
      | ( ( legal @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[210]) ).

thf(252,plain,
    ! [SV32: $i,SV9: $i] :
      ( ( ~ ( earlier @ SV9 @ SV32 )
        | ~ ( earlier @ SV32 @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[211]) ).

thf(253,plain,
    ! [SV33: $i,SV10: $i] :
      ( ( ! [SY181: $i] :
            ( ~ ( min_precedes @ SV10 @ SV33 @ SY181 )
            | ~ ( root @ SV33 @ SY181 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[212]) ).

thf(254,plain,
    ! [SV34: $i,SV11: $i] :
      ( ( ! [SY182: $i] :
            ~ ( min_precedes @ SV11 @ SV34 @ SY182 )
        | ( precedes @ SV11 @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[213]) ).

thf(255,plain,
    ! [SV35: $i,SV12: $i] :
      ( ( ! [SY183: $i,SY184: $i] :
            ( ~ ( min_precedes @ SV12 @ SV35 @ SY183 )
            | ~ ( occurrence_of @ SY184 @ SY183 )
            | ~ ( subactivity_occurrence @ SV35 @ SY184 )
            | ( subactivity_occurrence @ SV12 @ SY184 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[214]) ).

thf(256,plain,
    ! [SV36: $i,SV13: $i] :
      ( ( ! [SY185: $i] :
            ( ! [X89: $i] :
                ( ~ ( occurrence_of @ SY185 @ X89 )
                | ( atomic @ X89 ) )
            | ~ ( leaf_occ @ SV13 @ SY185 )
            | ~ ( leaf_occ @ SV36 @ SY185 ) )
        | ( SV13 = SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[215]) ).

thf(257,plain,
    ! [SV37: $i,SV14: $i] :
      ( ( ! [SY187: $i] :
            ( ! [X93: $i] :
                ~ ( occurrence_of @ SY187 @ X93 )
            | ~ ( root_occ @ SV14 @ SY187 )
            | ~ ( root_occ @ SV37 @ SY187 ) )
        | ( SV14 = SV37 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[216]) ).

thf(258,plain,
    ! [SV38: $i,SV15: $i] :
      ( ( ! [SY189: $i] :
            ( ~ ( earlier @ SV15 @ SV38 )
            | ~ ( earlier @ SV38 @ SY189 )
            | ( earlier @ SV15 @ SY189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(259,plain,
    ! [SV39: $i,SV16: $i] :
      ( ( ! [SY190: $i,SY191: $i] :
            ( ~ ( min_precedes @ SV16 @ SV39 @ SY191 )
            | ~ ( min_precedes @ SV16 @ SY190 @ SY191 )
            | ~ ( precedes @ SV39 @ SY190 )
            | ( min_precedes @ SV39 @ SY190 @ SY191 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[218]) ).

thf(260,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( subactivity_occurrence @ SX0 @ SX1 )
            | ( activity_occurrence @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(261,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( subactivity_occurrence @ SX0 @ SX1 )
            | ( activity_occurrence @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(262,plain,
    ! [SV17: $i] :
      ( ( ~ ( ! [SY151: $i,SY152: $i] :
                ~ ( next_subocc @ SV17 @ SY151 @ SY152 )
            | ( arboreal @ SV17 ) )
        | ~ ! [SY153: $i] :
              ( ! [SY154: $i] :
                  ~ ( next_subocc @ SV17 @ SY153 @ SY154 )
              | ( arboreal @ SY153 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[227]) ).

thf(263,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( occurrence_of @ SV18 @ tptp0 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                            | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                                      | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                                | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
                          | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                              | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
                    | ~ ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 ) )
              | ~ ( leaf_occ @ ( sK4_SY112 @ SV18 ) @ SV18 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[228]) ).

thf(264,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ~ ( occurrence_of @ SV40 @ SV19 )
        | ( atomic @ SV19 )
        | ~ ( ~ ( root @ ( sK17_X2 @ SV40 @ SV19 ) @ SV19 )
            | ~ ( subactivity_occurrence @ ( sK17_X2 @ SV40 @ SV19 ) @ SV40 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[229]) ).

thf(265,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX0 @ SX1 )
            | ~ ( arboreal @ SX0 )
            | ( atomic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(266,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX0 @ SX1 )
            | ~ ( atomic @ SX1 )
            | ( arboreal @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(267,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i] :
                ( ~ ( occurrence_of @ SX1 @ SX2 )
                | ~ ( subactivity_occurrence @ SX0 @ SX1 )
                | ~ ( leaf @ SX0 @ SX2 ) )
            | ( leaf_occ @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[231]) ).

thf(268,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leaf_occ @ SX0 @ SX1 )
            | ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ ( sK8_X57 @ SX1 @ SX0 ) )
                      | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                | ~ ( leaf @ SX0 @ ( sK8_X57 @ SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[231]) ).

thf(269,plain,
    ! [SV20: $i] :
      ( ( ~ ! [SY156: $i,SY157: $i] :
              ( ~ ( min_precedes @ SV20 @ SY156 @ SY157 )
              | ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SY157 @ SY156 @ SV20 ) @ SY157 )
                  | ~ ( min_precedes @ ( sK5_X81 @ SY157 @ SY156 @ SV20 ) @ SY156 @ SY157 ) )
              | ( next_subocc @ SV20 @ SY156 @ SY157 ) )
        | ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
                    ( ~ ( next_subocc @ SV20 @ SY158 @ SY159 )
                    | ( min_precedes @ SV20 @ SY158 @ SY159 ) )
              | ~ ! [SY160: $i,SY161: $i] :
                    ( ~ ( next_subocc @ SV20 @ SY160 @ SY161 )
                    | ! [SY162: $i] :
                        ( ~ ( min_precedes @ SV20 @ SY162 @ SY161 )
                        | ~ ( min_precedes @ SY162 @ SY160 @ SY161 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[232]) ).

thf(270,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ! [SX2: $i] :
                      ~ ( min_precedes @ SX2 @ SX0 @ SX1 )
                  | ( min_precedes @ SX0 @ ( sK11_X50 @ SX1 @ SX0 ) @ SX1 )
                  | ( leaf @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( root @ SX0 @ SX1 )
                  | ( min_precedes @ SX0 @ ( sK10_X50 @ SX1 @ SX0 ) @ SX1 )
                  | ( leaf @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[233]) ).

thf(271,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( leaf @ SX0 @ SX1 )
                  | ( min_precedes @ ( sK9_X49 @ SX1 @ SX0 ) @ SX0 @ SX1 )
                  | ( root @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( leaf @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[233]) ).

thf(272,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX0 @ tptp3 )
            | ~ ( root_occ @ SX0 @ sK1_X105 )
            | ~ ( occurrence_of @ SX1 @ tptp2 )
            | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 )
            | ~ ( leaf_occ @ SX1 @ sK1_X105 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[234]) ).

thf(273,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX0 @ tptp3 )
            | ~ ( root_occ @ SX0 @ sK1_X105 )
            | ~ ( occurrence_of @ SX1 @ tptp1 )
            | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 )
            | ~ ( leaf_occ @ SX1 @ sK1_X105 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[234]) ).

thf(274,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i] :
                ( ~ ( occurrence_of @ SX1 @ SX2 )
                | ~ ( subactivity_occurrence @ SX0 @ SX1 )
                | ~ ( root @ SX0 @ SX2 ) )
            | ( root_occ @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(275,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( root_occ @ SX0 @ SX1 )
            | ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ ( sK7_X60 @ SX1 @ SX0 ) )
                      | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
                | ~ ( root @ SX0 @ ( sK7_X60 @ SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(276,plain,
    ! [SV21: $i,SV41: $i] :
      ( ( ! [SY192: $i] :
            ( ~ ( min_precedes @ SV41 @ SY192 @ SV21 )
            | ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SY192 @ SV41 @ SV21 ) @ SV21 )
                      | ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SY192 @ SV41 @ SV21 ) ) )
                | ~ ( subactivity_occurrence @ SY192 @ ( sK15_X24 @ SY192 @ SV41 @ SV21 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(277,plain,
    ! [SV42: $i,SV22: $i] :
      ( ( ! [SY193: $i] :
            ( ~ ( min_precedes @ SV22 @ SV42 @ SY193 )
            | ~ ( ~ ( min_precedes @ ( sK6_X71 @ SY193 @ SV42 @ SV22 ) @ SV42 @ SY193 )
                | ~ ( root @ ( sK6_X71 @ SY193 @ SV42 @ SV22 ) @ SY193 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(278,plain,
    ! [SV23: $i] :
      ( ( ( ~ ( activity_occurrence @ SV23 ) )
        = $true )
      | ( ( ~ ( ~ ( activity @ ( sK13_X42 @ SV23 ) )
              | ~ ( occurrence_of @ SV23 @ ( sK13_X42 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[238]) ).

thf(279,plain,
    ! [SV24: $i,SV43: $i] :
      ( ( ~ ( root @ SV43 @ SV24 )
        | ~ ( ~ ( atocc @ SV43 @ ( sK16_X20 @ SV43 @ SV24 ) )
            | ~ ( subactivity @ ( sK16_X20 @ SV43 @ SV24 ) @ SV24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(280,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( earlier @ SX0 @ SX1 )
            | ~ ( legal @ SX1 )
            | ( precedes @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[240]) ).

thf(281,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( precedes @ SX0 @ SX1 )
                  | ( earlier @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( precedes @ SX0 @ SX1 )
                  | ( legal @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[240]) ).

thf(282,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i] :
                ( ~ ( atomic @ SX2 )
                | ~ ( subactivity @ SX1 @ SX2 )
                | ~ ( occurrence_of @ SX0 @ SX2 ) )
            | ( atocc @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[241]) ).

thf(283,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( atocc @ SX0 @ SX1 )
            | ~ ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SX1 @ SX0 ) )
                      | ~ ( subactivity @ SX1 @ ( sK12_X46 @ SX1 @ SX0 ) ) )
                | ~ ( occurrence_of @ SX0 @ ( sK12_X46 @ SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[241]) ).

thf(284,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( occurrence_of @ SX1 @ SX0 )
            | ( activity @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[242]) ).

thf(285,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( occurrence_of @ SX1 @ SX0 )
            | ( activity_occurrence @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[242]) ).

thf(286,plain,
    ! [SV44: $i,SV25: $i] :
      ( ( ~ ( leaf @ SV25 @ SV44 )
        | ( atomic @ SV44 )
        | ~ ( ~ ( leaf_occ @ SV25 @ ( sK14_X27 @ SV44 @ SV25 ) )
            | ~ ( occurrence_of @ ( sK14_X27 @ SV44 @ SV25 ) @ SV44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(287,plain,
    ! [SV1: $i,SV26: $i,SV45: $i] :
      ( ( ! [SY194: $i,SY195: $i] :
            ( ( SV45 = SY195 )
            | ~ ( occurrence_of @ SV26 @ SV1 )
            | ~ ( root_occ @ SY194 @ SV26 )
            | ~ ( leaf_occ @ SY195 @ SV26 )
            | ~ ( subactivity_occurrence @ SV45 @ SV26 )
            | ~ ( min_precedes @ SY194 @ SV45 @ SV1 )
            | ( min_precedes @ SV45 @ SY195 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(288,plain,
    ! [SV46: $i,SV2: $i,SV27: $i] :
      ( ( ! [SY196: $i] :
            ( ~ ( occurrence_of @ SV27 @ SV2 )
            | ~ ( subactivity_occurrence @ SV46 @ SV27 )
            | ~ ( leaf_occ @ SY196 @ SV27 )
            | ~ ( arboreal @ SV46 )
            | ( min_precedes @ SV46 @ SY196 @ SV2 )
            | ( SY196 = SV46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(289,plain,
    ! [SV3: $i,SV28: $i,SV47: $i] :
      ( ( ! [SY197: $i] :
            ( ~ ( arboreal @ SV47 )
            | ~ ( occurrence_of @ SV28 @ SV3 )
            | ~ ( arboreal @ SY197 )
            | ~ ( subactivity_occurrence @ SV47 @ SV28 )
            | ~ ( subactivity_occurrence @ SY197 @ SV28 )
            | ( SV47 = SY197 )
            | ( min_precedes @ SV47 @ SY197 @ SV3 )
            | ( min_precedes @ SY197 @ SV47 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(290,plain,
    ! [SV48: $i,SV29: $i,SV4: $i] :
      ( ( ~ ( occurrence_of @ SV4 @ SV29 )
        | ~ ( occurrence_of @ SV4 @ SV48 )
        | ( SV29 = SV48 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(291,plain,
    ! [SV49: $i,SV5: $i,SV30: $i] :
      ( ( ~ ( leaf_occ @ SV30 @ SV5 )
        | ~ ( occurrence_of @ SV5 @ SV49 )
        | ! [SY198: $i] :
            ~ ( min_precedes @ SV30 @ SY198 @ SV49 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(292,plain,
    ! [SV31: $i,SV50: $i,SV6: $i] :
      ( ( ~ ( occurrence_of @ SV6 @ SV50 )
        | ~ ( root_occ @ SV31 @ SV6 )
        | ! [SY199: $i] :
            ~ ( min_precedes @ SY199 @ SV31 @ SV50 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(293,plain,
    ! [SV7: $i] :
      ( ( ( legal @ SV7 )
        = $false )
      | ( ( arboreal @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(294,plain,
    ! [SV51: $i,SV8: $i] :
      ( ( ( ~ ( root @ SV8 @ SV51 ) )
        = $true )
      | ( ( legal @ SV8 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(295,plain,
    ! [SV32: $i,SV9: $i] :
      ( ( ( ~ ( earlier @ SV9 @ SV32 ) )
        = $true )
      | ( ( ~ ( earlier @ SV32 @ SV9 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[252]) ).

thf(296,plain,
    ! [SV52: $i,SV33: $i,SV10: $i] :
      ( ( ~ ( min_precedes @ SV10 @ SV33 @ SV52 )
        | ~ ( root @ SV33 @ SV52 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(297,plain,
    ! [SV34: $i,SV11: $i] :
      ( ( ( ! [SY182: $i] :
              ~ ( min_precedes @ SV11 @ SV34 @ SY182 ) )
        = $true )
      | ( ( precedes @ SV11 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[254]) ).

thf(298,plain,
    ! [SV53: $i,SV35: $i,SV12: $i] :
      ( ( ! [SY200: $i] :
            ( ~ ( min_precedes @ SV12 @ SV35 @ SV53 )
            | ~ ( occurrence_of @ SY200 @ SV53 )
            | ~ ( subactivity_occurrence @ SV35 @ SY200 )
            | ( subactivity_occurrence @ SV12 @ SY200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(299,plain,
    ! [SV36: $i,SV13: $i] :
      ( ( ( ! [SY185: $i] :
              ( ! [X89: $i] :
                  ( ~ ( occurrence_of @ SY185 @ X89 )
                  | ( atomic @ X89 ) )
              | ~ ( leaf_occ @ SV13 @ SY185 )
              | ~ ( leaf_occ @ SV36 @ SY185 ) ) )
        = $true )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[256]) ).

thf(300,plain,
    ! [SV37: $i,SV14: $i] :
      ( ( ( ! [SY187: $i] :
              ( ! [X93: $i] :
                  ~ ( occurrence_of @ SY187 @ X93 )
              | ~ ( root_occ @ SV14 @ SY187 )
              | ~ ( root_occ @ SV37 @ SY187 ) ) )
        = $true )
      | ( ( SV14 = SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[257]) ).

thf(301,plain,
    ! [SV54: $i,SV38: $i,SV15: $i] :
      ( ( ~ ( earlier @ SV15 @ SV38 )
        | ~ ( earlier @ SV38 @ SV54 )
        | ( earlier @ SV15 @ SV54 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(302,plain,
    ! [SV55: $i,SV39: $i,SV16: $i] :
      ( ( ! [SY201: $i] :
            ( ~ ( min_precedes @ SV16 @ SV39 @ SY201 )
            | ~ ( min_precedes @ SV16 @ SV55 @ SY201 )
            | ~ ( precedes @ SV39 @ SV55 )
            | ( min_precedes @ SV39 @ SV55 @ SY201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(303,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( subactivity_occurrence @ SX0 @ SX1 )
          | ( activity_occurrence @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[260]) ).

thf(304,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( subactivity_occurrence @ SX0 @ SX1 )
          | ( activity_occurrence @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[261]) ).

thf(305,plain,
    ! [SV17: $i] :
      ( ( ~ ( ! [SY151: $i,SY152: $i] :
                ~ ( next_subocc @ SV17 @ SY151 @ SY152 )
            | ( arboreal @ SV17 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[262]) ).

thf(306,plain,
    ! [SV17: $i] :
      ( ( ~ ! [SY153: $i] :
              ( ! [SY154: $i] :
                  ~ ( next_subocc @ SV17 @ SY153 @ SY154 )
              | ( arboreal @ SY153 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[262]) ).

thf(307,plain,
    ! [SV18: $i] :
      ( ( ( occurrence_of @ SV18 @ tptp0 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                            | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                                      | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                                | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
                          | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                              | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
                    | ~ ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 ) )
              | ~ ( leaf_occ @ ( sK4_SY112 @ SV18 ) @ SV18 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(308,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ( ~ ( occurrence_of @ SV40 @ SV19 )
          | ( atomic @ SV19 ) )
        = $true )
      | ( ( ~ ( ~ ( root @ ( sK17_X2 @ SV40 @ SV19 ) @ SV19 )
              | ~ ( subactivity_occurrence @ ( sK17_X2 @ SV40 @ SV19 ) @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[264]) ).

thf(309,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( occurrence_of @ SX0 @ SX1 )
          | ~ ( arboreal @ SX0 )
          | ( atomic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[265]) ).

thf(310,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( occurrence_of @ SX0 @ SX1 )
          | ~ ( atomic @ SX1 )
          | ( arboreal @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[266]) ).

thf(311,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ! [SX2: $i] :
              ( ~ ( occurrence_of @ SX1 @ SX2 )
              | ~ ( subactivity_occurrence @ SX0 @ SX1 )
              | ~ ( leaf @ SX0 @ SX2 ) )
          | ( leaf_occ @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[267]) ).

thf(312,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leaf_occ @ SX0 @ SX1 )
          | ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ ( sK8_X57 @ SX1 @ SX0 ) )
                    | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
              | ~ ( leaf @ SX0 @ ( sK8_X57 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[268]) ).

thf(313,plain,
    ! [SV20: $i] :
      ( ( ~ ! [SY156: $i,SY157: $i] :
              ( ~ ( min_precedes @ SV20 @ SY156 @ SY157 )
              | ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SY157 @ SY156 @ SV20 ) @ SY157 )
                  | ~ ( min_precedes @ ( sK5_X81 @ SY157 @ SY156 @ SV20 ) @ SY156 @ SY157 ) )
              | ( next_subocc @ SV20 @ SY156 @ SY157 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[269]) ).

thf(314,plain,
    ! [SV20: $i] :
      ( ( ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
                    ( ~ ( next_subocc @ SV20 @ SY158 @ SY159 )
                    | ( min_precedes @ SV20 @ SY158 @ SY159 ) )
              | ~ ! [SY160: $i,SY161: $i] :
                    ( ~ ( next_subocc @ SV20 @ SY160 @ SY161 )
                    | ! [SY162: $i] :
                        ( ~ ( min_precedes @ SV20 @ SY162 @ SY161 )
                        | ~ ( min_precedes @ SY162 @ SY160 @ SY161 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[269]) ).

thf(315,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ! [SX2: $i] :
                    ~ ( min_precedes @ SX2 @ SX0 @ SX1 )
                | ( min_precedes @ SX0 @ ( sK11_X50 @ SX1 @ SX0 ) @ SX1 )
                | ( leaf @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( root @ SX0 @ SX1 )
                | ( min_precedes @ SX0 @ ( sK10_X50 @ SX1 @ SX0 ) @ SX1 )
                | ( leaf @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[270]) ).

thf(316,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( leaf @ SX0 @ SX1 )
                | ( min_precedes @ ( sK9_X49 @ SX1 @ SX0 ) @ SX0 @ SX1 )
                | ( root @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( leaf @ SX0 @ SX1 )
                | ! [SX2: $i] :
                    ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[271]) ).

thf(317,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( occurrence_of @ SX0 @ tptp3 )
          | ~ ( root_occ @ SX0 @ sK1_X105 )
          | ~ ( occurrence_of @ SX1 @ tptp2 )
          | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 )
          | ~ ( leaf_occ @ SX1 @ sK1_X105 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[272]) ).

thf(318,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( occurrence_of @ SX0 @ tptp3 )
          | ~ ( root_occ @ SX0 @ sK1_X105 )
          | ~ ( occurrence_of @ SX1 @ tptp1 )
          | ~ ( min_precedes @ SX0 @ SX1 @ tptp0 )
          | ~ ( leaf_occ @ SX1 @ sK1_X105 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[273]) ).

thf(319,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ! [SX2: $i] :
              ( ~ ( occurrence_of @ SX1 @ SX2 )
              | ~ ( subactivity_occurrence @ SX0 @ SX1 )
              | ~ ( root @ SX0 @ SX2 ) )
          | ( root_occ @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[274]) ).

thf(320,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( root_occ @ SX0 @ SX1 )
          | ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ ( sK7_X60 @ SX1 @ SX0 ) )
                    | ~ ( subactivity_occurrence @ SX0 @ SX1 ) )
              | ~ ( root @ SX0 @ ( sK7_X60 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[275]) ).

thf(321,plain,
    ! [SV21: $i,SV56: $i,SV41: $i] :
      ( ( ~ ( min_precedes @ SV41 @ SV56 @ SV21 )
        | ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 )
                  | ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) )
            | ~ ( subactivity_occurrence @ SV56 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(322,plain,
    ! [SV57: $i,SV42: $i,SV22: $i] :
      ( ( ~ ( min_precedes @ SV22 @ SV42 @ SV57 )
        | ~ ( ~ ( min_precedes @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV42 @ SV57 )
            | ~ ( root @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV57 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(323,plain,
    ! [SV23: $i] :
      ( ( ( activity_occurrence @ SV23 )
        = $false )
      | ( ( ~ ( ~ ( activity @ ( sK13_X42 @ SV23 ) )
              | ~ ( occurrence_of @ SV23 @ ( sK13_X42 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[278]) ).

thf(324,plain,
    ! [SV24: $i,SV43: $i] :
      ( ( ( ~ ( root @ SV43 @ SV24 ) )
        = $true )
      | ( ( ~ ( ~ ( atocc @ SV43 @ ( sK16_X20 @ SV43 @ SV24 ) )
              | ~ ( subactivity @ ( sK16_X20 @ SV43 @ SV24 ) @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[279]) ).

thf(325,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( earlier @ SX0 @ SX1 )
          | ~ ( legal @ SX1 )
          | ( precedes @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[280]) ).

thf(326,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( precedes @ SX0 @ SX1 )
                | ( earlier @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( precedes @ SX0 @ SX1 )
                | ( legal @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[281]) ).

thf(327,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ! [SX2: $i] :
              ( ~ ( atomic @ SX2 )
              | ~ ( subactivity @ SX1 @ SX2 )
              | ~ ( occurrence_of @ SX0 @ SX2 ) )
          | ( atocc @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[282]) ).

thf(328,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( atocc @ SX0 @ SX1 )
          | ~ ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SX1 @ SX0 ) )
                    | ~ ( subactivity @ SX1 @ ( sK12_X46 @ SX1 @ SX0 ) ) )
              | ~ ( occurrence_of @ SX0 @ ( sK12_X46 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[283]) ).

thf(329,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( occurrence_of @ SX1 @ SX0 )
          | ( activity @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[284]) ).

thf(330,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( occurrence_of @ SX1 @ SX0 )
          | ( activity_occurrence @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[285]) ).

thf(331,plain,
    ! [SV44: $i,SV25: $i] :
      ( ( ( ~ ( leaf @ SV25 @ SV44 )
          | ( atomic @ SV44 ) )
        = $true )
      | ( ( ~ ( ~ ( leaf_occ @ SV25 @ ( sK14_X27 @ SV44 @ SV25 ) )
              | ~ ( occurrence_of @ ( sK14_X27 @ SV44 @ SV25 ) @ SV44 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[286]) ).

thf(332,plain,
    ! [SV58: $i,SV1: $i,SV26: $i,SV45: $i] :
      ( ( ! [SY202: $i] :
            ( ( SV45 = SY202 )
            | ~ ( occurrence_of @ SV26 @ SV1 )
            | ~ ( root_occ @ SV58 @ SV26 )
            | ~ ( leaf_occ @ SY202 @ SV26 )
            | ~ ( subactivity_occurrence @ SV45 @ SV26 )
            | ~ ( min_precedes @ SV58 @ SV45 @ SV1 )
            | ( min_precedes @ SV45 @ SY202 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(333,plain,
    ! [SV59: $i,SV46: $i,SV2: $i,SV27: $i] :
      ( ( ~ ( occurrence_of @ SV27 @ SV2 )
        | ~ ( subactivity_occurrence @ SV46 @ SV27 )
        | ~ ( leaf_occ @ SV59 @ SV27 )
        | ~ ( arboreal @ SV46 )
        | ( min_precedes @ SV46 @ SV59 @ SV2 )
        | ( SV59 = SV46 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(334,plain,
    ! [SV60: $i,SV3: $i,SV28: $i,SV47: $i] :
      ( ( ~ ( arboreal @ SV47 )
        | ~ ( occurrence_of @ SV28 @ SV3 )
        | ~ ( arboreal @ SV60 )
        | ~ ( subactivity_occurrence @ SV47 @ SV28 )
        | ~ ( subactivity_occurrence @ SV60 @ SV28 )
        | ( SV47 = SV60 )
        | ( min_precedes @ SV47 @ SV60 @ SV3 )
        | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(335,plain,
    ! [SV48: $i,SV29: $i,SV4: $i] :
      ( ( ( ~ ( occurrence_of @ SV4 @ SV29 )
          | ~ ( occurrence_of @ SV4 @ SV48 ) )
        = $true )
      | ( ( SV29 = SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[290]) ).

thf(336,plain,
    ! [SV49: $i,SV5: $i,SV30: $i] :
      ( ( ( ~ ( leaf_occ @ SV30 @ SV5 )
          | ~ ( occurrence_of @ SV5 @ SV49 ) )
        = $true )
      | ( ( ! [SY198: $i] :
              ~ ( min_precedes @ SV30 @ SY198 @ SV49 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[291]) ).

thf(337,plain,
    ! [SV31: $i,SV50: $i,SV6: $i] :
      ( ( ( ~ ( occurrence_of @ SV6 @ SV50 )
          | ~ ( root_occ @ SV31 @ SV6 ) )
        = $true )
      | ( ( ! [SY199: $i] :
              ~ ( min_precedes @ SY199 @ SV31 @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(338,plain,
    ! [SV51: $i,SV8: $i] :
      ( ( ( root @ SV8 @ SV51 )
        = $false )
      | ( ( legal @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[294]) ).

thf(339,plain,
    ! [SV32: $i,SV9: $i] :
      ( ( ( earlier @ SV9 @ SV32 )
        = $false )
      | ( ( ~ ( earlier @ SV32 @ SV9 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[295]) ).

thf(340,plain,
    ! [SV52: $i,SV33: $i,SV10: $i] :
      ( ( ( ~ ( min_precedes @ SV10 @ SV33 @ SV52 ) )
        = $true )
      | ( ( ~ ( root @ SV33 @ SV52 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(341,plain,
    ! [SV61: $i,SV34: $i,SV11: $i] :
      ( ( ( ~ ( min_precedes @ SV11 @ SV34 @ SV61 ) )
        = $true )
      | ( ( precedes @ SV11 @ SV34 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[297]) ).

thf(342,plain,
    ! [SV62: $i,SV53: $i,SV35: $i,SV12: $i] :
      ( ( ~ ( min_precedes @ SV12 @ SV35 @ SV53 )
        | ~ ( occurrence_of @ SV62 @ SV53 )
        | ~ ( subactivity_occurrence @ SV35 @ SV62 )
        | ( subactivity_occurrence @ SV12 @ SV62 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(343,plain,
    ! [SV36: $i,SV13: $i,SV63: $i] :
      ( ( ( ! [SY203: $i] :
              ( ~ ( occurrence_of @ SV63 @ SY203 )
              | ( atomic @ SY203 ) )
          | ~ ( leaf_occ @ SV13 @ SV63 )
          | ~ ( leaf_occ @ SV36 @ SV63 ) )
        = $true )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(344,plain,
    ! [SV37: $i,SV14: $i,SV64: $i] :
      ( ( ( ! [SY204: $i] :
              ~ ( occurrence_of @ SV64 @ SY204 )
          | ~ ( root_occ @ SV14 @ SV64 )
          | ~ ( root_occ @ SV37 @ SV64 ) )
        = $true )
      | ( ( SV14 = SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(345,plain,
    ! [SV54: $i,SV38: $i,SV15: $i] :
      ( ( ( ~ ( earlier @ SV15 @ SV38 )
          | ~ ( earlier @ SV38 @ SV54 ) )
        = $true )
      | ( ( earlier @ SV15 @ SV54 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[301]) ).

thf(346,plain,
    ! [SV55: $i,SV65: $i,SV39: $i,SV16: $i] :
      ( ( ~ ( min_precedes @ SV16 @ SV39 @ SV65 )
        | ~ ( min_precedes @ SV16 @ SV55 @ SV65 )
        | ~ ( precedes @ SV39 @ SV55 )
        | ( min_precedes @ SV39 @ SV55 @ SV65 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(347,plain,
    ! [SV66: $i] :
      ( ( ! [SY205: $i] :
            ~ ( subactivity_occurrence @ SV66 @ SY205 )
        | ( activity_occurrence @ SV66 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(348,plain,
    ! [SV67: $i] :
      ( ( ! [SY206: $i] :
            ( ~ ( subactivity_occurrence @ SV67 @ SY206 )
            | ( activity_occurrence @ SY206 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(349,plain,
    ! [SV17: $i] :
      ( ( ! [SY151: $i,SY152: $i] :
            ~ ( next_subocc @ SV17 @ SY151 @ SY152 )
        | ( arboreal @ SV17 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[305]) ).

thf(350,plain,
    ! [SV17: $i] :
      ( ( ! [SY153: $i] :
            ( ! [SY154: $i] :
                ~ ( next_subocc @ SV17 @ SY153 @ SY154 )
            | ( arboreal @ SY153 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[306]) ).

thf(351,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                        | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                                  | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                            | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
                      | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                          | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
                | ~ ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 ) )
          | ~ ( leaf_occ @ ( sK4_SY112 @ SV18 ) @ SV18 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[307]) ).

thf(352,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ( ~ ( occurrence_of @ SV40 @ SV19 ) )
        = $true )
      | ( ( atomic @ SV19 )
        = $true )
      | ( ( ~ ( ~ ( root @ ( sK17_X2 @ SV40 @ SV19 ) @ SV19 )
              | ~ ( subactivity_occurrence @ ( sK17_X2 @ SV40 @ SV19 ) @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[308]) ).

thf(353,plain,
    ! [SV68: $i] :
      ( ( ! [SY207: $i] :
            ( ~ ( occurrence_of @ SV68 @ SY207 )
            | ~ ( arboreal @ SV68 )
            | ( atomic @ SY207 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(354,plain,
    ! [SV69: $i] :
      ( ( ! [SY208: $i] :
            ( ~ ( occurrence_of @ SV69 @ SY208 )
            | ~ ( atomic @ SY208 )
            | ( arboreal @ SV69 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(355,plain,
    ! [SV70: $i] :
      ( ( ! [SY209: $i] :
            ( ! [SY210: $i] :
                ( ~ ( occurrence_of @ SY209 @ SY210 )
                | ~ ( subactivity_occurrence @ SV70 @ SY209 )
                | ~ ( leaf @ SV70 @ SY210 ) )
            | ( leaf_occ @ SV70 @ SY209 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(356,plain,
    ! [SV71: $i] :
      ( ( ! [SY211: $i] :
            ( ~ ( leaf_occ @ SV71 @ SY211 )
            | ~ ( ~ ~ ( ~ ( occurrence_of @ SY211 @ ( sK8_X57 @ SY211 @ SV71 ) )
                      | ~ ( subactivity_occurrence @ SV71 @ SY211 ) )
                | ~ ( leaf @ SV71 @ ( sK8_X57 @ SY211 @ SV71 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(357,plain,
    ! [SV20: $i] :
      ( ( ! [SY156: $i,SY157: $i] :
            ( ~ ( min_precedes @ SV20 @ SY156 @ SY157 )
            | ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SY157 @ SY156 @ SV20 ) @ SY157 )
                | ~ ( min_precedes @ ( sK5_X81 @ SY157 @ SY156 @ SV20 ) @ SY156 @ SY157 ) )
            | ( next_subocc @ SV20 @ SY156 @ SY157 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[313]) ).

thf(358,plain,
    ! [SV20: $i] :
      ( ( ~ ( ~ ! [SY158: $i,SY159: $i] :
                  ( ~ ( next_subocc @ SV20 @ SY158 @ SY159 )
                  | ( min_precedes @ SV20 @ SY158 @ SY159 ) )
            | ~ ! [SY160: $i,SY161: $i] :
                  ( ~ ( next_subocc @ SV20 @ SY160 @ SY161 )
                  | ! [SY162: $i] :
                      ( ~ ( min_precedes @ SV20 @ SY162 @ SY161 )
                      | ~ ( min_precedes @ SY162 @ SY160 @ SY161 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[314]) ).

thf(359,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i] :
                ~ ( min_precedes @ SX2 @ SX0 @ SX1 )
            | ( min_precedes @ SX0 @ ( sK11_X50 @ SX1 @ SX0 ) @ SX1 )
            | ( leaf @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( root @ SX0 @ SX1 )
            | ( min_precedes @ SX0 @ ( sK10_X50 @ SX1 @ SX0 ) @ SX1 )
            | ( leaf @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[315]) ).

thf(360,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leaf @ SX0 @ SX1 )
            | ( min_precedes @ ( sK9_X49 @ SX1 @ SX0 ) @ SX0 @ SX1 )
            | ( root @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leaf @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[316]) ).

thf(361,plain,
    ! [SV72: $i] :
      ( ( ! [SY212: $i] :
            ( ~ ( occurrence_of @ SV72 @ tptp3 )
            | ~ ( root_occ @ SV72 @ sK1_X105 )
            | ~ ( occurrence_of @ SY212 @ tptp2 )
            | ~ ( min_precedes @ SV72 @ SY212 @ tptp0 )
            | ~ ( leaf_occ @ SY212 @ sK1_X105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(362,plain,
    ! [SV73: $i] :
      ( ( ! [SY213: $i] :
            ( ~ ( occurrence_of @ SV73 @ tptp3 )
            | ~ ( root_occ @ SV73 @ sK1_X105 )
            | ~ ( occurrence_of @ SY213 @ tptp1 )
            | ~ ( min_precedes @ SV73 @ SY213 @ tptp0 )
            | ~ ( leaf_occ @ SY213 @ sK1_X105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(363,plain,
    ! [SV74: $i] :
      ( ( ! [SY214: $i] :
            ( ! [SY215: $i] :
                ( ~ ( occurrence_of @ SY214 @ SY215 )
                | ~ ( subactivity_occurrence @ SV74 @ SY214 )
                | ~ ( root @ SV74 @ SY215 ) )
            | ( root_occ @ SV74 @ SY214 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(364,plain,
    ! [SV75: $i] :
      ( ( ! [SY216: $i] :
            ( ~ ( root_occ @ SV75 @ SY216 )
            | ~ ( ~ ~ ( ~ ( occurrence_of @ SY216 @ ( sK7_X60 @ SY216 @ SV75 ) )
                      | ~ ( subactivity_occurrence @ SV75 @ SY216 ) )
                | ~ ( root @ SV75 @ ( sK7_X60 @ SY216 @ SV75 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(365,plain,
    ! [SV21: $i,SV56: $i,SV41: $i] :
      ( ( ( ~ ( min_precedes @ SV41 @ SV56 @ SV21 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 )
                    | ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) )
              | ~ ( subactivity_occurrence @ SV56 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[321]) ).

thf(366,plain,
    ! [SV57: $i,SV42: $i,SV22: $i] :
      ( ( ( ~ ( min_precedes @ SV22 @ SV42 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( min_precedes @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV42 @ SV57 )
              | ~ ( root @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV57 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[322]) ).

thf(367,plain,
    ! [SV23: $i] :
      ( ( ( ~ ( activity @ ( sK13_X42 @ SV23 ) )
          | ~ ( occurrence_of @ SV23 @ ( sK13_X42 @ SV23 ) ) )
        = $false )
      | ( ( activity_occurrence @ SV23 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[323]) ).

thf(368,plain,
    ! [SV24: $i,SV43: $i] :
      ( ( ( root @ SV43 @ SV24 )
        = $false )
      | ( ( ~ ( ~ ( atocc @ SV43 @ ( sK16_X20 @ SV43 @ SV24 ) )
              | ~ ( subactivity @ ( sK16_X20 @ SV43 @ SV24 ) @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[324]) ).

thf(369,plain,
    ! [SV76: $i] :
      ( ( ! [SY217: $i] :
            ( ~ ( earlier @ SV76 @ SY217 )
            | ~ ( legal @ SY217 )
            | ( precedes @ SV76 @ SY217 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(370,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( precedes @ SX0 @ SX1 )
            | ( earlier @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( precedes @ SX0 @ SX1 )
            | ( legal @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[326]) ).

thf(371,plain,
    ! [SV77: $i] :
      ( ( ! [SY218: $i] :
            ( ! [SY219: $i] :
                ( ~ ( atomic @ SY219 )
                | ~ ( subactivity @ SY218 @ SY219 )
                | ~ ( occurrence_of @ SV77 @ SY219 ) )
            | ( atocc @ SV77 @ SY218 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(372,plain,
    ! [SV78: $i] :
      ( ( ! [SY220: $i] :
            ( ~ ( atocc @ SV78 @ SY220 )
            | ~ ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SY220 @ SV78 ) )
                      | ~ ( subactivity @ SY220 @ ( sK12_X46 @ SY220 @ SV78 ) ) )
                | ~ ( occurrence_of @ SV78 @ ( sK12_X46 @ SY220 @ SV78 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(373,plain,
    ! [SV79: $i] :
      ( ( ! [SY221: $i] :
            ~ ( occurrence_of @ SY221 @ SV79 )
        | ( activity @ SV79 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(374,plain,
    ! [SV80: $i] :
      ( ( ! [SY222: $i] :
            ( ~ ( occurrence_of @ SY222 @ SV80 )
            | ( activity_occurrence @ SY222 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(375,plain,
    ! [SV44: $i,SV25: $i] :
      ( ( ( ~ ( leaf @ SV25 @ SV44 ) )
        = $true )
      | ( ( atomic @ SV44 )
        = $true )
      | ( ( ~ ( ~ ( leaf_occ @ SV25 @ ( sK14_X27 @ SV44 @ SV25 ) )
              | ~ ( occurrence_of @ ( sK14_X27 @ SV44 @ SV25 ) @ SV44 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[331]) ).

thf(376,plain,
    ! [SV58: $i,SV1: $i,SV26: $i,SV81: $i,SV45: $i] :
      ( ( ( SV45 = SV81 )
        | ~ ( occurrence_of @ SV26 @ SV1 )
        | ~ ( root_occ @ SV58 @ SV26 )
        | ~ ( leaf_occ @ SV81 @ SV26 )
        | ~ ( subactivity_occurrence @ SV45 @ SV26 )
        | ~ ( min_precedes @ SV58 @ SV45 @ SV1 )
        | ( min_precedes @ SV45 @ SV81 @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(377,plain,
    ! [SV59: $i,SV46: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( occurrence_of @ SV27 @ SV2 )
          | ~ ( subactivity_occurrence @ SV46 @ SV27 )
          | ~ ( leaf_occ @ SV59 @ SV27 )
          | ~ ( arboreal @ SV46 )
          | ( min_precedes @ SV46 @ SV59 @ SV2 ) )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[333]) ).

thf(378,plain,
    ! [SV60: $i,SV3: $i,SV28: $i,SV47: $i] :
      ( ( ( ~ ( arboreal @ SV47 )
          | ~ ( occurrence_of @ SV28 @ SV3 )
          | ~ ( arboreal @ SV60 )
          | ~ ( subactivity_occurrence @ SV47 @ SV28 )
          | ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[334]) ).

thf(379,plain,
    ! [SV48: $i,SV29: $i,SV4: $i] :
      ( ( ( ~ ( occurrence_of @ SV4 @ SV29 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV4 @ SV48 ) )
        = $true )
      | ( ( SV29 = SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(380,plain,
    ! [SV49: $i,SV5: $i,SV30: $i] :
      ( ( ( ~ ( leaf_occ @ SV30 @ SV5 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV5 @ SV49 ) )
        = $true )
      | ( ( ! [SY198: $i] :
              ~ ( min_precedes @ SV30 @ SY198 @ SV49 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[336]) ).

thf(381,plain,
    ! [SV31: $i,SV50: $i,SV6: $i] :
      ( ( ( ~ ( occurrence_of @ SV6 @ SV50 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV31 @ SV6 ) )
        = $true )
      | ( ( ! [SY199: $i] :
              ~ ( min_precedes @ SY199 @ SV31 @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[337]) ).

thf(382,plain,
    ! [SV9: $i,SV32: $i] :
      ( ( ( earlier @ SV32 @ SV9 )
        = $false )
      | ( ( earlier @ SV9 @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[339]) ).

thf(383,plain,
    ! [SV52: $i,SV33: $i,SV10: $i] :
      ( ( ( min_precedes @ SV10 @ SV33 @ SV52 )
        = $false )
      | ( ( ~ ( root @ SV33 @ SV52 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(384,plain,
    ! [SV61: $i,SV34: $i,SV11: $i] :
      ( ( ( min_precedes @ SV11 @ SV34 @ SV61 )
        = $false )
      | ( ( precedes @ SV11 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[341]) ).

thf(385,plain,
    ! [SV62: $i,SV53: $i,SV35: $i,SV12: $i] :
      ( ( ( ~ ( min_precedes @ SV12 @ SV35 @ SV53 )
          | ~ ( occurrence_of @ SV62 @ SV53 )
          | ~ ( subactivity_occurrence @ SV35 @ SV62 ) )
        = $true )
      | ( ( subactivity_occurrence @ SV12 @ SV62 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[342]) ).

thf(386,plain,
    ! [SV36: $i,SV13: $i,SV63: $i] :
      ( ( ( ! [SY203: $i] :
              ( ~ ( occurrence_of @ SV63 @ SY203 )
              | ( atomic @ SY203 ) )
          | ~ ( leaf_occ @ SV13 @ SV63 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV36 @ SV63 ) )
        = $true )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[343]) ).

thf(387,plain,
    ! [SV37: $i,SV14: $i,SV64: $i] :
      ( ( ( ! [SY204: $i] :
              ~ ( occurrence_of @ SV64 @ SY204 )
          | ~ ( root_occ @ SV14 @ SV64 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV37 @ SV64 ) )
        = $true )
      | ( ( SV14 = SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[344]) ).

thf(388,plain,
    ! [SV54: $i,SV38: $i,SV15: $i] :
      ( ( ( ~ ( earlier @ SV15 @ SV38 ) )
        = $true )
      | ( ( ~ ( earlier @ SV38 @ SV54 ) )
        = $true )
      | ( ( earlier @ SV15 @ SV54 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[345]) ).

thf(389,plain,
    ! [SV55: $i,SV65: $i,SV39: $i,SV16: $i] :
      ( ( ( ~ ( min_precedes @ SV16 @ SV39 @ SV65 )
          | ~ ( min_precedes @ SV16 @ SV55 @ SV65 )
          | ~ ( precedes @ SV39 @ SV55 ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV55 @ SV65 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[346]) ).

thf(390,plain,
    ! [SV66: $i] :
      ( ( ( ! [SY205: $i] :
              ~ ( subactivity_occurrence @ SV66 @ SY205 ) )
        = $true )
      | ( ( activity_occurrence @ SV66 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[347]) ).

thf(391,plain,
    ! [SV82: $i,SV67: $i] :
      ( ( ~ ( subactivity_occurrence @ SV67 @ SV82 )
        | ( activity_occurrence @ SV82 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(392,plain,
    ! [SV17: $i] :
      ( ( ( ! [SY151: $i,SY152: $i] :
              ~ ( next_subocc @ SV17 @ SY151 @ SY152 ) )
        = $true )
      | ( ( arboreal @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[349]) ).

thf(393,plain,
    ! [SV83: $i,SV17: $i] :
      ( ( ! [SY223: $i] :
            ~ ( next_subocc @ SV17 @ SV83 @ SY223 )
        | ( arboreal @ SV83 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(394,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                        | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                                  | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                            | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
                      | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                          | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
                | ~ ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 ) ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[351]) ).

thf(395,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( leaf_occ @ ( sK4_SY112 @ SV18 ) @ SV18 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[351]) ).

thf(396,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ( occurrence_of @ SV40 @ SV19 )
        = $false )
      | ( ( atomic @ SV19 )
        = $true )
      | ( ( ~ ( ~ ( root @ ( sK17_X2 @ SV40 @ SV19 ) @ SV19 )
              | ~ ( subactivity_occurrence @ ( sK17_X2 @ SV40 @ SV19 ) @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(397,plain,
    ! [SV84: $i,SV68: $i] :
      ( ( ~ ( occurrence_of @ SV68 @ SV84 )
        | ~ ( arboreal @ SV68 )
        | ( atomic @ SV84 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(398,plain,
    ! [SV85: $i,SV69: $i] :
      ( ( ~ ( occurrence_of @ SV69 @ SV85 )
        | ~ ( atomic @ SV85 )
        | ( arboreal @ SV69 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(399,plain,
    ! [SV70: $i,SV86: $i] :
      ( ( ! [SY224: $i] :
            ( ~ ( occurrence_of @ SV86 @ SY224 )
            | ~ ( subactivity_occurrence @ SV70 @ SV86 )
            | ~ ( leaf @ SV70 @ SY224 ) )
        | ( leaf_occ @ SV70 @ SV86 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(400,plain,
    ! [SV87: $i,SV71: $i] :
      ( ( ~ ( leaf_occ @ SV71 @ SV87 )
        | ~ ( ~ ~ ( ~ ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) )
                  | ~ ( subactivity_occurrence @ SV71 @ SV87 ) )
            | ~ ( leaf @ SV71 @ ( sK8_X57 @ SV87 @ SV71 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(401,plain,
    ! [SV88: $i,SV20: $i] :
      ( ( ! [SY225: $i] :
            ( ~ ( min_precedes @ SV20 @ SV88 @ SY225 )
            | ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SY225 @ SV88 @ SV20 ) @ SY225 )
                | ~ ( min_precedes @ ( sK5_X81 @ SY225 @ SV88 @ SV20 ) @ SV88 @ SY225 ) )
            | ( next_subocc @ SV20 @ SV88 @ SY225 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(402,plain,
    ! [SV20: $i] :
      ( ( ~ ! [SY158: $i,SY159: $i] :
              ( ~ ( next_subocc @ SV20 @ SY158 @ SY159 )
              | ( min_precedes @ SV20 @ SY158 @ SY159 ) )
        | ~ ! [SY160: $i,SY161: $i] :
              ( ~ ( next_subocc @ SV20 @ SY160 @ SY161 )
              | ! [SY162: $i] :
                  ( ~ ( min_precedes @ SV20 @ SY162 @ SY161 )
                  | ~ ( min_precedes @ SY162 @ SY160 @ SY161 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[358]) ).

thf(403,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i] :
                ~ ( min_precedes @ SX2 @ SX0 @ SX1 )
            | ( min_precedes @ SX0 @ ( sK11_X50 @ SX1 @ SX0 ) @ SX1 )
            | ( leaf @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[359]) ).

thf(404,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( root @ SX0 @ SX1 )
            | ( min_precedes @ SX0 @ ( sK10_X50 @ SX1 @ SX0 ) @ SX1 )
            | ( leaf @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[359]) ).

thf(405,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leaf @ SX0 @ SX1 )
            | ( min_precedes @ ( sK9_X49 @ SX1 @ SX0 ) @ SX0 @ SX1 )
            | ( root @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[360]) ).

thf(406,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leaf @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[360]) ).

thf(407,plain,
    ! [SV89: $i,SV72: $i] :
      ( ( ~ ( occurrence_of @ SV72 @ tptp3 )
        | ~ ( root_occ @ SV72 @ sK1_X105 )
        | ~ ( occurrence_of @ SV89 @ tptp2 )
        | ~ ( min_precedes @ SV72 @ SV89 @ tptp0 )
        | ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(408,plain,
    ! [SV90: $i,SV73: $i] :
      ( ( ~ ( occurrence_of @ SV73 @ tptp3 )
        | ~ ( root_occ @ SV73 @ sK1_X105 )
        | ~ ( occurrence_of @ SV90 @ tptp1 )
        | ~ ( min_precedes @ SV73 @ SV90 @ tptp0 )
        | ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(409,plain,
    ! [SV74: $i,SV91: $i] :
      ( ( ! [SY226: $i] :
            ( ~ ( occurrence_of @ SV91 @ SY226 )
            | ~ ( subactivity_occurrence @ SV74 @ SV91 )
            | ~ ( root @ SV74 @ SY226 ) )
        | ( root_occ @ SV74 @ SV91 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(410,plain,
    ! [SV92: $i,SV75: $i] :
      ( ( ~ ( root_occ @ SV75 @ SV92 )
        | ~ ( ~ ~ ( ~ ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) )
                  | ~ ( subactivity_occurrence @ SV75 @ SV92 ) )
            | ~ ( root @ SV75 @ ( sK7_X60 @ SV92 @ SV75 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(411,plain,
    ! [SV21: $i,SV56: $i,SV41: $i] :
      ( ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 )
                    | ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) )
              | ~ ( subactivity_occurrence @ SV56 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[365]) ).

thf(412,plain,
    ! [SV57: $i,SV42: $i,SV22: $i] :
      ( ( ( min_precedes @ SV22 @ SV42 @ SV57 )
        = $false )
      | ( ( ~ ( ~ ( min_precedes @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV42 @ SV57 )
              | ~ ( root @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV57 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(413,plain,
    ! [SV23: $i] :
      ( ( ( ~ ( activity @ ( sK13_X42 @ SV23 ) ) )
        = $false )
      | ( ( activity_occurrence @ SV23 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[367]) ).

thf(414,plain,
    ! [SV23: $i] :
      ( ( ( ~ ( occurrence_of @ SV23 @ ( sK13_X42 @ SV23 ) ) )
        = $false )
      | ( ( activity_occurrence @ SV23 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[367]) ).

thf(415,plain,
    ! [SV24: $i,SV43: $i] :
      ( ( ( ~ ( atocc @ SV43 @ ( sK16_X20 @ SV43 @ SV24 ) )
          | ~ ( subactivity @ ( sK16_X20 @ SV43 @ SV24 ) @ SV24 ) )
        = $false )
      | ( ( root @ SV43 @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(416,plain,
    ! [SV93: $i,SV76: $i] :
      ( ( ~ ( earlier @ SV76 @ SV93 )
        | ~ ( legal @ SV93 )
        | ( precedes @ SV76 @ SV93 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(417,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( precedes @ SX0 @ SX1 )
            | ( earlier @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[370]) ).

thf(418,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( precedes @ SX0 @ SX1 )
            | ( legal @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[370]) ).

thf(419,plain,
    ! [SV77: $i,SV94: $i] :
      ( ( ! [SY227: $i] :
            ( ~ ( atomic @ SY227 )
            | ~ ( subactivity @ SV94 @ SY227 )
            | ~ ( occurrence_of @ SV77 @ SY227 ) )
        | ( atocc @ SV77 @ SV94 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(420,plain,
    ! [SV95: $i,SV78: $i] :
      ( ( ~ ( atocc @ SV78 @ SV95 )
        | ~ ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) )
                  | ~ ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) ) )
            | ~ ( occurrence_of @ SV78 @ ( sK12_X46 @ SV95 @ SV78 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(421,plain,
    ! [SV79: $i] :
      ( ( ( ! [SY221: $i] :
              ~ ( occurrence_of @ SY221 @ SV79 ) )
        = $true )
      | ( ( activity @ SV79 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[373]) ).

thf(422,plain,
    ! [SV80: $i,SV96: $i] :
      ( ( ~ ( occurrence_of @ SV96 @ SV80 )
        | ( activity_occurrence @ SV96 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(423,plain,
    ! [SV44: $i,SV25: $i] :
      ( ( ( leaf @ SV25 @ SV44 )
        = $false )
      | ( ( atomic @ SV44 )
        = $true )
      | ( ( ~ ( ~ ( leaf_occ @ SV25 @ ( sK14_X27 @ SV44 @ SV25 ) )
              | ~ ( occurrence_of @ ( sK14_X27 @ SV44 @ SV25 ) @ SV44 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[375]) ).

thf(424,plain,
    ! [SV58: $i,SV1: $i,SV26: $i,SV81: $i,SV45: $i] :
      ( ( ( ( SV45 = SV81 )
          | ~ ( occurrence_of @ SV26 @ SV1 )
          | ~ ( root_occ @ SV58 @ SV26 )
          | ~ ( leaf_occ @ SV81 @ SV26 )
          | ~ ( subactivity_occurrence @ SV45 @ SV26 )
          | ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[376]) ).

thf(425,plain,
    ! [SV59: $i,SV46: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( occurrence_of @ SV27 @ SV2 )
          | ~ ( subactivity_occurrence @ SV46 @ SV27 )
          | ~ ( leaf_occ @ SV59 @ SV27 )
          | ~ ( arboreal @ SV46 ) )
        = $true )
      | ( ( min_precedes @ SV46 @ SV59 @ SV2 )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[377]) ).

thf(426,plain,
    ! [SV60: $i,SV3: $i,SV28: $i,SV47: $i] :
      ( ( ( ~ ( arboreal @ SV47 )
          | ~ ( occurrence_of @ SV28 @ SV3 )
          | ~ ( arboreal @ SV60 )
          | ~ ( subactivity_occurrence @ SV47 @ SV28 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[378]) ).

thf(427,plain,
    ! [SV48: $i,SV29: $i,SV4: $i] :
      ( ( ( occurrence_of @ SV4 @ SV29 )
        = $false )
      | ( ( ~ ( occurrence_of @ SV4 @ SV48 ) )
        = $true )
      | ( ( SV29 = SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[379]) ).

thf(428,plain,
    ! [SV49: $i,SV5: $i,SV30: $i] :
      ( ( ( leaf_occ @ SV30 @ SV5 )
        = $false )
      | ( ( ~ ( occurrence_of @ SV5 @ SV49 ) )
        = $true )
      | ( ( ! [SY198: $i] :
              ~ ( min_precedes @ SV30 @ SY198 @ SV49 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[380]) ).

thf(429,plain,
    ! [SV31: $i,SV50: $i,SV6: $i] :
      ( ( ( occurrence_of @ SV6 @ SV50 )
        = $false )
      | ( ( ~ ( root_occ @ SV31 @ SV6 ) )
        = $true )
      | ( ( ! [SY199: $i] :
              ~ ( min_precedes @ SY199 @ SV31 @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[381]) ).

thf(430,plain,
    ! [SV10: $i,SV52: $i,SV33: $i] :
      ( ( ( root @ SV33 @ SV52 )
        = $false )
      | ( ( min_precedes @ SV10 @ SV33 @ SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(431,plain,
    ! [SV62: $i,SV53: $i,SV35: $i,SV12: $i] :
      ( ( ( ~ ( min_precedes @ SV12 @ SV35 @ SV53 )
          | ~ ( occurrence_of @ SV62 @ SV53 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV35 @ SV62 ) )
        = $true )
      | ( ( subactivity_occurrence @ SV12 @ SV62 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[385]) ).

thf(432,plain,
    ! [SV36: $i,SV13: $i,SV63: $i] :
      ( ( ( ! [SY203: $i] :
              ( ~ ( occurrence_of @ SV63 @ SY203 )
              | ( atomic @ SY203 ) ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV13 @ SV63 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV36 @ SV63 ) )
        = $true )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[386]) ).

thf(433,plain,
    ! [SV37: $i,SV14: $i,SV64: $i] :
      ( ( ( ! [SY204: $i] :
              ~ ( occurrence_of @ SV64 @ SY204 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV14 @ SV64 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV37 @ SV64 ) )
        = $true )
      | ( ( SV14 = SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(434,plain,
    ! [SV54: $i,SV38: $i,SV15: $i] :
      ( ( ( earlier @ SV15 @ SV38 )
        = $false )
      | ( ( ~ ( earlier @ SV38 @ SV54 ) )
        = $true )
      | ( ( earlier @ SV15 @ SV54 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(435,plain,
    ! [SV55: $i,SV65: $i,SV39: $i,SV16: $i] :
      ( ( ( ~ ( min_precedes @ SV16 @ SV39 @ SV65 )
          | ~ ( min_precedes @ SV16 @ SV55 @ SV65 ) )
        = $true )
      | ( ( ~ ( precedes @ SV39 @ SV55 ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV55 @ SV65 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[389]) ).

thf(436,plain,
    ! [SV97: $i,SV66: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV66 @ SV97 ) )
        = $true )
      | ( ( activity_occurrence @ SV66 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(437,plain,
    ! [SV82: $i,SV67: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV67 @ SV82 ) )
        = $true )
      | ( ( activity_occurrence @ SV82 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[391]) ).

thf(438,plain,
    ! [SV98: $i,SV17: $i] :
      ( ( ( ! [SY228: $i] :
              ~ ( next_subocc @ SV17 @ SV98 @ SY228 ) )
        = $true )
      | ( ( arboreal @ SV17 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(439,plain,
    ! [SV83: $i,SV17: $i] :
      ( ( ( ! [SY223: $i] :
              ~ ( next_subocc @ SV17 @ SV83 @ SY223 ) )
        = $true )
      | ( ( arboreal @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[393]) ).

thf(440,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                      | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                                | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                          | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
                    | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                        | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
              | ~ ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 ) ) )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[394]) ).

thf(441,plain,
    ! [SV18: $i] :
      ( ( ( leaf_occ @ ( sK4_SY112 @ SV18 ) @ SV18 )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[395]) ).

thf(442,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ( ~ ( root @ ( sK17_X2 @ SV40 @ SV19 ) @ SV19 )
          | ~ ( subactivity_occurrence @ ( sK17_X2 @ SV40 @ SV19 ) @ SV40 ) )
        = $false )
      | ( ( atomic @ SV19 )
        = $true )
      | ( ( occurrence_of @ SV40 @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[396]) ).

thf(443,plain,
    ! [SV84: $i,SV68: $i] :
      ( ( ( ~ ( occurrence_of @ SV68 @ SV84 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV68 )
          | ( atomic @ SV84 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[397]) ).

thf(444,plain,
    ! [SV85: $i,SV69: $i] :
      ( ( ( ~ ( occurrence_of @ SV69 @ SV85 ) )
        = $true )
      | ( ( ~ ( atomic @ SV85 )
          | ( arboreal @ SV69 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[398]) ).

thf(445,plain,
    ! [SV70: $i,SV86: $i] :
      ( ( ( ! [SY224: $i] :
              ( ~ ( occurrence_of @ SV86 @ SY224 )
              | ~ ( subactivity_occurrence @ SV70 @ SV86 )
              | ~ ( leaf @ SV70 @ SY224 ) ) )
        = $true )
      | ( ( leaf_occ @ SV70 @ SV86 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[399]) ).

thf(446,plain,
    ! [SV87: $i,SV71: $i] :
      ( ( ( ~ ( leaf_occ @ SV71 @ SV87 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) )
                    | ~ ( subactivity_occurrence @ SV71 @ SV87 ) )
              | ~ ( leaf @ SV71 @ ( sK8_X57 @ SV87 @ SV71 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[400]) ).

thf(447,plain,
    ! [SV99: $i,SV88: $i,SV20: $i] :
      ( ( ~ ( min_precedes @ SV20 @ SV88 @ SV99 )
        | ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV99 )
            | ~ ( min_precedes @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV88 @ SV99 ) )
        | ( next_subocc @ SV20 @ SV88 @ SV99 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(448,plain,
    ! [SV20: $i] :
      ( ( ~ ! [SY158: $i,SY159: $i] :
              ( ~ ( next_subocc @ SV20 @ SY158 @ SY159 )
              | ( min_precedes @ SV20 @ SY158 @ SY159 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[402]) ).

thf(449,plain,
    ! [SV20: $i] :
      ( ( ~ ! [SY160: $i,SY161: $i] :
              ( ~ ( next_subocc @ SV20 @ SY160 @ SY161 )
              | ! [SY162: $i] :
                  ( ~ ( min_precedes @ SV20 @ SY162 @ SY161 )
                  | ~ ( min_precedes @ SY162 @ SY160 @ SY161 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[402]) ).

thf(450,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ! [SX2: $i] :
              ~ ( min_precedes @ SX2 @ SX0 @ SX1 )
          | ( min_precedes @ SX0 @ ( sK11_X50 @ SX1 @ SX0 ) @ SX1 )
          | ( leaf @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[403]) ).

thf(451,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( root @ SX0 @ SX1 )
          | ( min_precedes @ SX0 @ ( sK10_X50 @ SX1 @ SX0 ) @ SX1 )
          | ( leaf @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[404]) ).

thf(452,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leaf @ SX0 @ SX1 )
          | ( min_precedes @ ( sK9_X49 @ SX1 @ SX0 ) @ SX0 @ SX1 )
          | ( root @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[405]) ).

thf(453,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leaf @ SX0 @ SX1 )
          | ! [SX2: $i] :
              ~ ( min_precedes @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[406]) ).

thf(454,plain,
    ! [SV89: $i,SV72: $i] :
      ( ( ( ~ ( occurrence_of @ SV72 @ tptp3 )
          | ~ ( root_occ @ SV72 @ sK1_X105 )
          | ~ ( occurrence_of @ SV89 @ tptp2 )
          | ~ ( min_precedes @ SV72 @ SV89 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[407]) ).

thf(455,plain,
    ! [SV90: $i,SV73: $i] :
      ( ( ( ~ ( occurrence_of @ SV73 @ tptp3 )
          | ~ ( root_occ @ SV73 @ sK1_X105 )
          | ~ ( occurrence_of @ SV90 @ tptp1 )
          | ~ ( min_precedes @ SV73 @ SV90 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[408]) ).

thf(456,plain,
    ! [SV74: $i,SV91: $i] :
      ( ( ( ! [SY226: $i] :
              ( ~ ( occurrence_of @ SV91 @ SY226 )
              | ~ ( subactivity_occurrence @ SV74 @ SV91 )
              | ~ ( root @ SV74 @ SY226 ) ) )
        = $true )
      | ( ( root_occ @ SV74 @ SV91 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[409]) ).

thf(457,plain,
    ! [SV92: $i,SV75: $i] :
      ( ( ( ~ ( root_occ @ SV75 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) )
                    | ~ ( subactivity_occurrence @ SV75 @ SV92 ) )
              | ~ ( root @ SV75 @ ( sK7_X60 @ SV92 @ SV75 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(458,plain,
    ! [SV21: $i,SV41: $i,SV56: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 )
                | ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) )
          | ~ ( subactivity_occurrence @ SV56 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) )
        = $false )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[411]) ).

thf(459,plain,
    ! [SV22: $i,SV42: $i,SV57: $i] :
      ( ( ( ~ ( min_precedes @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV42 @ SV57 )
          | ~ ( root @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV57 ) )
        = $false )
      | ( ( min_precedes @ SV22 @ SV42 @ SV57 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(460,plain,
    ! [SV23: $i] :
      ( ( ( activity @ ( sK13_X42 @ SV23 ) )
        = $true )
      | ( ( activity_occurrence @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[413]) ).

thf(461,plain,
    ! [SV23: $i] :
      ( ( ( occurrence_of @ SV23 @ ( sK13_X42 @ SV23 ) )
        = $true )
      | ( ( activity_occurrence @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[414]) ).

thf(462,plain,
    ! [SV24: $i,SV43: $i] :
      ( ( ( ~ ( atocc @ SV43 @ ( sK16_X20 @ SV43 @ SV24 ) ) )
        = $false )
      | ( ( root @ SV43 @ SV24 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[415]) ).

thf(463,plain,
    ! [SV24: $i,SV43: $i] :
      ( ( ( ~ ( subactivity @ ( sK16_X20 @ SV43 @ SV24 ) @ SV24 ) )
        = $false )
      | ( ( root @ SV43 @ SV24 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[415]) ).

thf(464,plain,
    ! [SV93: $i,SV76: $i] :
      ( ( ( ~ ( earlier @ SV76 @ SV93 )
          | ~ ( legal @ SV93 ) )
        = $true )
      | ( ( precedes @ SV76 @ SV93 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[416]) ).

thf(465,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( precedes @ SX0 @ SX1 )
          | ( earlier @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[417]) ).

thf(466,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( precedes @ SX0 @ SX1 )
          | ( legal @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[418]) ).

thf(467,plain,
    ! [SV77: $i,SV94: $i] :
      ( ( ( ! [SY227: $i] :
              ( ~ ( atomic @ SY227 )
              | ~ ( subactivity @ SV94 @ SY227 )
              | ~ ( occurrence_of @ SV77 @ SY227 ) ) )
        = $true )
      | ( ( atocc @ SV77 @ SV94 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(468,plain,
    ! [SV95: $i,SV78: $i] :
      ( ( ( ~ ( atocc @ SV78 @ SV95 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) )
                    | ~ ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) ) )
              | ~ ( occurrence_of @ SV78 @ ( sK12_X46 @ SV95 @ SV78 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[420]) ).

thf(469,plain,
    ! [SV79: $i,SV100: $i] :
      ( ( ( ~ ( occurrence_of @ SV100 @ SV79 ) )
        = $true )
      | ( ( activity @ SV79 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(470,plain,
    ! [SV80: $i,SV96: $i] :
      ( ( ( ~ ( occurrence_of @ SV96 @ SV80 ) )
        = $true )
      | ( ( activity_occurrence @ SV96 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[422]) ).

thf(471,plain,
    ! [SV44: $i,SV25: $i] :
      ( ( ( ~ ( leaf_occ @ SV25 @ ( sK14_X27 @ SV44 @ SV25 ) )
          | ~ ( occurrence_of @ ( sK14_X27 @ SV44 @ SV25 ) @ SV44 ) )
        = $false )
      | ( ( atomic @ SV44 )
        = $true )
      | ( ( leaf @ SV25 @ SV44 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(472,plain,
    ! [SV58: $i,SV1: $i,SV26: $i,SV81: $i,SV45: $i] :
      ( ( ( SV45 = SV81 )
        = $true )
      | ( ( ~ ( occurrence_of @ SV26 @ SV1 )
          | ~ ( root_occ @ SV58 @ SV26 )
          | ~ ( leaf_occ @ SV81 @ SV26 )
          | ~ ( subactivity_occurrence @ SV45 @ SV26 )
          | ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[424]) ).

thf(473,plain,
    ! [SV59: $i,SV46: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( occurrence_of @ SV27 @ SV2 )
          | ~ ( subactivity_occurrence @ SV46 @ SV27 )
          | ~ ( leaf_occ @ SV59 @ SV27 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV46 ) )
        = $true )
      | ( ( min_precedes @ SV46 @ SV59 @ SV2 )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[425]) ).

thf(474,plain,
    ! [SV60: $i,SV3: $i,SV28: $i,SV47: $i] :
      ( ( ( ~ ( arboreal @ SV47 )
          | ~ ( occurrence_of @ SV28 @ SV3 )
          | ~ ( arboreal @ SV60 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV47 @ SV28 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[426]) ).

thf(475,plain,
    ! [SV29: $i,SV48: $i,SV4: $i] :
      ( ( ( occurrence_of @ SV4 @ SV48 )
        = $false )
      | ( ( occurrence_of @ SV4 @ SV29 )
        = $false )
      | ( ( SV29 = SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(476,plain,
    ! [SV30: $i,SV49: $i,SV5: $i] :
      ( ( ( occurrence_of @ SV5 @ SV49 )
        = $false )
      | ( ( leaf_occ @ SV30 @ SV5 )
        = $false )
      | ( ( ! [SY198: $i] :
              ~ ( min_precedes @ SV30 @ SY198 @ SV49 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[428]) ).

thf(477,plain,
    ! [SV50: $i,SV6: $i,SV31: $i] :
      ( ( ( root_occ @ SV31 @ SV6 )
        = $false )
      | ( ( occurrence_of @ SV6 @ SV50 )
        = $false )
      | ( ( ! [SY199: $i] :
              ~ ( min_precedes @ SY199 @ SV31 @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(478,plain,
    ! [SV62: $i,SV53: $i,SV35: $i,SV12: $i] :
      ( ( ( ~ ( min_precedes @ SV12 @ SV35 @ SV53 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV62 @ SV53 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV35 @ SV62 ) )
        = $true )
      | ( ( subactivity_occurrence @ SV12 @ SV62 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[431]) ).

thf(479,plain,
    ! [SV36: $i,SV13: $i,SV101: $i,SV63: $i] :
      ( ( ( ~ ( occurrence_of @ SV63 @ SV101 )
          | ( atomic @ SV101 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV13 @ SV63 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV36 @ SV63 ) )
        = $true )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(480,plain,
    ! [SV37: $i,SV14: $i,SV102: $i,SV64: $i] :
      ( ( ( ~ ( occurrence_of @ SV64 @ SV102 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV14 @ SV64 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV37 @ SV64 ) )
        = $true )
      | ( ( SV14 = SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(481,plain,
    ! [SV15: $i,SV54: $i,SV38: $i] :
      ( ( ( earlier @ SV38 @ SV54 )
        = $false )
      | ( ( earlier @ SV15 @ SV38 )
        = $false )
      | ( ( earlier @ SV15 @ SV54 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[434]) ).

thf(482,plain,
    ! [SV55: $i,SV65: $i,SV39: $i,SV16: $i] :
      ( ( ( ~ ( min_precedes @ SV16 @ SV39 @ SV65 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV16 @ SV55 @ SV65 ) )
        = $true )
      | ( ( ~ ( precedes @ SV39 @ SV55 ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV55 @ SV65 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[435]) ).

thf(483,plain,
    ! [SV97: $i,SV66: $i] :
      ( ( ( subactivity_occurrence @ SV66 @ SV97 )
        = $false )
      | ( ( activity_occurrence @ SV66 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[436]) ).

thf(484,plain,
    ! [SV82: $i,SV67: $i] :
      ( ( ( subactivity_occurrence @ SV67 @ SV82 )
        = $false )
      | ( ( activity_occurrence @ SV82 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(485,plain,
    ! [SV103: $i,SV98: $i,SV17: $i] :
      ( ( ( ~ ( next_subocc @ SV17 @ SV98 @ SV103 ) )
        = $true )
      | ( ( arboreal @ SV17 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[438]) ).

thf(486,plain,
    ! [SV104: $i,SV83: $i,SV17: $i] :
      ( ( ( ~ ( next_subocc @ SV17 @ SV83 @ SV104 ) )
        = $true )
      | ( ( arboreal @ SV83 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[439]) ).

thf(487,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                  | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                            | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                      | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
                | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                    | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
          | ~ ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(488,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ( ~ ( root @ ( sK17_X2 @ SV40 @ SV19 ) @ SV19 ) )
        = $false )
      | ( ( atomic @ SV19 )
        = $true )
      | ( ( occurrence_of @ SV40 @ SV19 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[442]) ).

thf(489,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ( ~ ( subactivity_occurrence @ ( sK17_X2 @ SV40 @ SV19 ) @ SV40 ) )
        = $false )
      | ( ( atomic @ SV19 )
        = $true )
      | ( ( occurrence_of @ SV40 @ SV19 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[442]) ).

thf(490,plain,
    ! [SV84: $i,SV68: $i] :
      ( ( ( occurrence_of @ SV68 @ SV84 )
        = $false )
      | ( ( ~ ( arboreal @ SV68 )
          | ( atomic @ SV84 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(491,plain,
    ! [SV85: $i,SV69: $i] :
      ( ( ( occurrence_of @ SV69 @ SV85 )
        = $false )
      | ( ( ~ ( atomic @ SV85 )
          | ( arboreal @ SV69 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(492,plain,
    ! [SV70: $i,SV105: $i,SV86: $i] :
      ( ( ( ~ ( occurrence_of @ SV86 @ SV105 )
          | ~ ( subactivity_occurrence @ SV70 @ SV86 )
          | ~ ( leaf @ SV70 @ SV105 ) )
        = $true )
      | ( ( leaf_occ @ SV70 @ SV86 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(493,plain,
    ! [SV87: $i,SV71: $i] :
      ( ( ( leaf_occ @ SV71 @ SV87 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) )
                    | ~ ( subactivity_occurrence @ SV71 @ SV87 ) )
              | ~ ( leaf @ SV71 @ ( sK8_X57 @ SV87 @ SV71 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(494,plain,
    ! [SV99: $i,SV88: $i,SV20: $i] :
      ( ( ( ~ ( min_precedes @ SV20 @ SV88 @ SV99 )
          | ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV99 )
              | ~ ( min_precedes @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV88 @ SV99 ) ) )
        = $true )
      | ( ( next_subocc @ SV20 @ SV88 @ SV99 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[447]) ).

thf(495,plain,
    ! [SV20: $i] :
      ( ( ! [SY158: $i,SY159: $i] :
            ( ~ ( next_subocc @ SV20 @ SY158 @ SY159 )
            | ( min_precedes @ SV20 @ SY158 @ SY159 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[448]) ).

thf(496,plain,
    ! [SV20: $i] :
      ( ( ! [SY160: $i,SY161: $i] :
            ( ~ ( next_subocc @ SV20 @ SY160 @ SY161 )
            | ! [SY162: $i] :
                ( ~ ( min_precedes @ SV20 @ SY162 @ SY161 )
                | ~ ( min_precedes @ SY162 @ SY160 @ SY161 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[449]) ).

thf(497,plain,
    ! [SV106: $i] :
      ( ( ! [SY229: $i] :
            ( ! [SY230: $i] :
                ~ ( min_precedes @ SY230 @ SV106 @ SY229 )
            | ( min_precedes @ SV106 @ ( sK11_X50 @ SY229 @ SV106 ) @ SY229 )
            | ( leaf @ SV106 @ SY229 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(498,plain,
    ! [SV107: $i] :
      ( ( ! [SY231: $i] :
            ( ~ ( root @ SV107 @ SY231 )
            | ( min_precedes @ SV107 @ ( sK10_X50 @ SY231 @ SV107 ) @ SY231 )
            | ( leaf @ SV107 @ SY231 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(499,plain,
    ! [SV108: $i] :
      ( ( ! [SY232: $i] :
            ( ~ ( leaf @ SV108 @ SY232 )
            | ( min_precedes @ ( sK9_X49 @ SY232 @ SV108 ) @ SV108 @ SY232 )
            | ( root @ SV108 @ SY232 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(500,plain,
    ! [SV109: $i] :
      ( ( ! [SY233: $i] :
            ( ~ ( leaf @ SV109 @ SY233 )
            | ! [SY234: $i] :
                ~ ( min_precedes @ SV109 @ SY234 @ SY233 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(501,plain,
    ! [SV89: $i,SV72: $i] :
      ( ( ( ~ ( occurrence_of @ SV72 @ tptp3 )
          | ~ ( root_occ @ SV72 @ sK1_X105 )
          | ~ ( occurrence_of @ SV89 @ tptp2 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV72 @ SV89 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[454]) ).

thf(502,plain,
    ! [SV90: $i,SV73: $i] :
      ( ( ( ~ ( occurrence_of @ SV73 @ tptp3 )
          | ~ ( root_occ @ SV73 @ sK1_X105 )
          | ~ ( occurrence_of @ SV90 @ tptp1 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV73 @ SV90 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[455]) ).

thf(503,plain,
    ! [SV74: $i,SV110: $i,SV91: $i] :
      ( ( ( ~ ( occurrence_of @ SV91 @ SV110 )
          | ~ ( subactivity_occurrence @ SV74 @ SV91 )
          | ~ ( root @ SV74 @ SV110 ) )
        = $true )
      | ( ( root_occ @ SV74 @ SV91 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[456]) ).

thf(504,plain,
    ! [SV92: $i,SV75: $i] :
      ( ( ( root_occ @ SV75 @ SV92 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) )
                    | ~ ( subactivity_occurrence @ SV75 @ SV92 ) )
              | ~ ( root @ SV75 @ ( sK7_X60 @ SV92 @ SV75 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(505,plain,
    ! [SV21: $i,SV41: $i,SV56: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 )
                | ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) ) )
        = $false )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[458]) ).

thf(506,plain,
    ! [SV21: $i,SV41: $i,SV56: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV56 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) )
        = $false )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[458]) ).

thf(507,plain,
    ! [SV22: $i,SV42: $i,SV57: $i] :
      ( ( ( ~ ( min_precedes @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV42 @ SV57 ) )
        = $false )
      | ( ( min_precedes @ SV22 @ SV42 @ SV57 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[459]) ).

thf(508,plain,
    ! [SV22: $i,SV42: $i,SV57: $i] :
      ( ( ( ~ ( root @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV57 ) )
        = $false )
      | ( ( min_precedes @ SV22 @ SV42 @ SV57 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[459]) ).

thf(509,plain,
    ! [SV24: $i,SV43: $i] :
      ( ( ( atocc @ SV43 @ ( sK16_X20 @ SV43 @ SV24 ) )
        = $true )
      | ( ( root @ SV43 @ SV24 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[462]) ).

thf(510,plain,
    ! [SV24: $i,SV43: $i] :
      ( ( ( subactivity @ ( sK16_X20 @ SV43 @ SV24 ) @ SV24 )
        = $true )
      | ( ( root @ SV43 @ SV24 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[463]) ).

thf(511,plain,
    ! [SV93: $i,SV76: $i] :
      ( ( ( ~ ( earlier @ SV76 @ SV93 ) )
        = $true )
      | ( ( ~ ( legal @ SV93 ) )
        = $true )
      | ( ( precedes @ SV76 @ SV93 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[464]) ).

thf(512,plain,
    ! [SV111: $i] :
      ( ( ! [SY235: $i] :
            ( ~ ( precedes @ SV111 @ SY235 )
            | ( earlier @ SV111 @ SY235 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[465]) ).

thf(513,plain,
    ! [SV112: $i] :
      ( ( ! [SY236: $i] :
            ( ~ ( precedes @ SV112 @ SY236 )
            | ( legal @ SY236 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[466]) ).

thf(514,plain,
    ! [SV77: $i,SV94: $i,SV113: $i] :
      ( ( ( ~ ( atomic @ SV113 )
          | ~ ( subactivity @ SV94 @ SV113 )
          | ~ ( occurrence_of @ SV77 @ SV113 ) )
        = $true )
      | ( ( atocc @ SV77 @ SV94 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[467]) ).

thf(515,plain,
    ! [SV95: $i,SV78: $i] :
      ( ( ( atocc @ SV78 @ SV95 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) )
                    | ~ ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) ) )
              | ~ ( occurrence_of @ SV78 @ ( sK12_X46 @ SV95 @ SV78 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(516,plain,
    ! [SV79: $i,SV100: $i] :
      ( ( ( occurrence_of @ SV100 @ SV79 )
        = $false )
      | ( ( activity @ SV79 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(517,plain,
    ! [SV80: $i,SV96: $i] :
      ( ( ( occurrence_of @ SV96 @ SV80 )
        = $false )
      | ( ( activity_occurrence @ SV96 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[470]) ).

thf(518,plain,
    ! [SV44: $i,SV25: $i] :
      ( ( ( ~ ( leaf_occ @ SV25 @ ( sK14_X27 @ SV44 @ SV25 ) ) )
        = $false )
      | ( ( atomic @ SV44 )
        = $true )
      | ( ( leaf @ SV25 @ SV44 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[471]) ).

thf(519,plain,
    ! [SV25: $i,SV44: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK14_X27 @ SV44 @ SV25 ) @ SV44 ) )
        = $false )
      | ( ( atomic @ SV44 )
        = $true )
      | ( ( leaf @ SV25 @ SV44 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[471]) ).

thf(520,plain,
    ! [SV45: $i,SV81: $i,SV58: $i,SV1: $i,SV26: $i] :
      ( ( ( ~ ( occurrence_of @ SV26 @ SV1 )
          | ~ ( root_occ @ SV58 @ SV26 )
          | ~ ( leaf_occ @ SV81 @ SV26 )
          | ~ ( subactivity_occurrence @ SV45 @ SV26 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[472]) ).

thf(521,plain,
    ! [SV59: $i,SV46: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( occurrence_of @ SV27 @ SV2 )
          | ~ ( subactivity_occurrence @ SV46 @ SV27 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV59 @ SV27 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV46 ) )
        = $true )
      | ( ( min_precedes @ SV46 @ SV59 @ SV2 )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[473]) ).

thf(522,plain,
    ! [SV60: $i,SV3: $i,SV28: $i,SV47: $i] :
      ( ( ( ~ ( arboreal @ SV47 )
          | ~ ( occurrence_of @ SV28 @ SV3 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV60 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV47 @ SV28 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[474]) ).

thf(523,plain,
    ! [SV5: $i,SV49: $i,SV114: $i,SV30: $i] :
      ( ( ( ~ ( min_precedes @ SV30 @ SV114 @ SV49 ) )
        = $true )
      | ( ( leaf_occ @ SV30 @ SV5 )
        = $false )
      | ( ( occurrence_of @ SV5 @ SV49 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[476]) ).

thf(524,plain,
    ! [SV6: $i,SV50: $i,SV31: $i,SV115: $i] :
      ( ( ( ~ ( min_precedes @ SV115 @ SV31 @ SV50 ) )
        = $true )
      | ( ( occurrence_of @ SV6 @ SV50 )
        = $false )
      | ( ( root_occ @ SV31 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(525,plain,
    ! [SV62: $i,SV53: $i,SV35: $i,SV12: $i] :
      ( ( ( min_precedes @ SV12 @ SV35 @ SV53 )
        = $false )
      | ( ( ~ ( occurrence_of @ SV62 @ SV53 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV35 @ SV62 ) )
        = $true )
      | ( ( subactivity_occurrence @ SV12 @ SV62 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(526,plain,
    ! [SV36: $i,SV13: $i,SV101: $i,SV63: $i] :
      ( ( ( ~ ( occurrence_of @ SV63 @ SV101 ) )
        = $true )
      | ( ( atomic @ SV101 )
        = $true )
      | ( ( ~ ( leaf_occ @ SV13 @ SV63 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV36 @ SV63 ) )
        = $true )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[479]) ).

thf(527,plain,
    ! [SV37: $i,SV14: $i,SV102: $i,SV64: $i] :
      ( ( ( occurrence_of @ SV64 @ SV102 )
        = $false )
      | ( ( ~ ( root_occ @ SV14 @ SV64 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV37 @ SV64 ) )
        = $true )
      | ( ( SV14 = SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(528,plain,
    ! [SV55: $i,SV65: $i,SV39: $i,SV16: $i] :
      ( ( ( min_precedes @ SV16 @ SV39 @ SV65 )
        = $false )
      | ( ( ~ ( min_precedes @ SV16 @ SV55 @ SV65 ) )
        = $true )
      | ( ( ~ ( precedes @ SV39 @ SV55 ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV55 @ SV65 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(529,plain,
    ! [SV103: $i,SV98: $i,SV17: $i] :
      ( ( ( next_subocc @ SV17 @ SV98 @ SV103 )
        = $false )
      | ( ( arboreal @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(530,plain,
    ! [SV104: $i,SV83: $i,SV17: $i] :
      ( ( ( next_subocc @ SV17 @ SV83 @ SV104 )
        = $false )
      | ( ( arboreal @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[486]) ).

thf(531,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                  | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                            | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                      | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
                | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                    | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[487]) ).

thf(532,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[487]) ).

thf(533,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ( root @ ( sK17_X2 @ SV40 @ SV19 ) @ SV19 )
        = $true )
      | ( ( atomic @ SV19 )
        = $true )
      | ( ( occurrence_of @ SV40 @ SV19 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[488]) ).

thf(534,plain,
    ! [SV19: $i,SV40: $i] :
      ( ( ( subactivity_occurrence @ ( sK17_X2 @ SV40 @ SV19 ) @ SV40 )
        = $true )
      | ( ( atomic @ SV19 )
        = $true )
      | ( ( occurrence_of @ SV40 @ SV19 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[489]) ).

thf(535,plain,
    ! [SV84: $i,SV68: $i] :
      ( ( ( ~ ( arboreal @ SV68 ) )
        = $true )
      | ( ( atomic @ SV84 )
        = $true )
      | ( ( occurrence_of @ SV68 @ SV84 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[490]) ).

thf(536,plain,
    ! [SV69: $i,SV85: $i] :
      ( ( ( ~ ( atomic @ SV85 ) )
        = $true )
      | ( ( arboreal @ SV69 )
        = $true )
      | ( ( occurrence_of @ SV69 @ SV85 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[491]) ).

thf(537,plain,
    ! [SV70: $i,SV105: $i,SV86: $i] :
      ( ( ( ~ ( occurrence_of @ SV86 @ SV105 )
          | ~ ( subactivity_occurrence @ SV70 @ SV86 ) )
        = $true )
      | ( ( ~ ( leaf @ SV70 @ SV105 ) )
        = $true )
      | ( ( leaf_occ @ SV70 @ SV86 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[492]) ).

thf(538,plain,
    ! [SV71: $i,SV87: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) )
                | ~ ( subactivity_occurrence @ SV71 @ SV87 ) )
          | ~ ( leaf @ SV71 @ ( sK8_X57 @ SV87 @ SV71 ) ) )
        = $false )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[493]) ).

thf(539,plain,
    ! [SV99: $i,SV88: $i,SV20: $i] :
      ( ( ( ~ ( min_precedes @ SV20 @ SV88 @ SV99 ) )
        = $true )
      | ( ( ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV99 )
              | ~ ( min_precedes @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV88 @ SV99 ) ) )
        = $true )
      | ( ( next_subocc @ SV20 @ SV88 @ SV99 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[494]) ).

thf(540,plain,
    ! [SV116: $i,SV20: $i] :
      ( ( ! [SY237: $i] :
            ( ~ ( next_subocc @ SV20 @ SV116 @ SY237 )
            | ( min_precedes @ SV20 @ SV116 @ SY237 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[495]) ).

thf(541,plain,
    ! [SV117: $i,SV20: $i] :
      ( ( ! [SY238: $i] :
            ( ~ ( next_subocc @ SV20 @ SV117 @ SY238 )
            | ! [SY239: $i] :
                ( ~ ( min_precedes @ SV20 @ SY239 @ SY238 )
                | ~ ( min_precedes @ SY239 @ SV117 @ SY238 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[496]) ).

thf(542,plain,
    ! [SV118: $i,SV106: $i] :
      ( ( ! [SY240: $i] :
            ~ ( min_precedes @ SY240 @ SV106 @ SV118 )
        | ( min_precedes @ SV106 @ ( sK11_X50 @ SV118 @ SV106 ) @ SV118 )
        | ( leaf @ SV106 @ SV118 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(543,plain,
    ! [SV119: $i,SV107: $i] :
      ( ( ~ ( root @ SV107 @ SV119 )
        | ( min_precedes @ SV107 @ ( sK10_X50 @ SV119 @ SV107 ) @ SV119 )
        | ( leaf @ SV107 @ SV119 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[498]) ).

thf(544,plain,
    ! [SV120: $i,SV108: $i] :
      ( ( ~ ( leaf @ SV108 @ SV120 )
        | ( min_precedes @ ( sK9_X49 @ SV120 @ SV108 ) @ SV108 @ SV120 )
        | ( root @ SV108 @ SV120 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(545,plain,
    ! [SV121: $i,SV109: $i] :
      ( ( ~ ( leaf @ SV109 @ SV121 )
        | ! [SY241: $i] :
            ~ ( min_precedes @ SV109 @ SY241 @ SV121 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(546,plain,
    ! [SV89: $i,SV72: $i] :
      ( ( ( ~ ( occurrence_of @ SV72 @ tptp3 )
          | ~ ( root_occ @ SV72 @ sK1_X105 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV89 @ tptp2 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV72 @ SV89 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[501]) ).

thf(547,plain,
    ! [SV90: $i,SV73: $i] :
      ( ( ( ~ ( occurrence_of @ SV73 @ tptp3 )
          | ~ ( root_occ @ SV73 @ sK1_X105 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV90 @ tptp1 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV73 @ SV90 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[502]) ).

thf(548,plain,
    ! [SV74: $i,SV110: $i,SV91: $i] :
      ( ( ( ~ ( occurrence_of @ SV91 @ SV110 )
          | ~ ( subactivity_occurrence @ SV74 @ SV91 ) )
        = $true )
      | ( ( ~ ( root @ SV74 @ SV110 ) )
        = $true )
      | ( ( root_occ @ SV74 @ SV91 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[503]) ).

thf(549,plain,
    ! [SV75: $i,SV92: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) )
                | ~ ( subactivity_occurrence @ SV75 @ SV92 ) )
          | ~ ( root @ SV75 @ ( sK7_X60 @ SV92 @ SV75 ) ) )
        = $false )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[504]) ).

thf(550,plain,
    ! [SV21: $i,SV41: $i,SV56: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 )
              | ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) ) )
        = $true )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[505]) ).

thf(551,plain,
    ! [SV21: $i,SV41: $i,SV56: $i] :
      ( ( ( subactivity_occurrence @ SV56 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) )
        = $true )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[506]) ).

thf(552,plain,
    ! [SV22: $i,SV42: $i,SV57: $i] :
      ( ( ( min_precedes @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV42 @ SV57 )
        = $true )
      | ( ( min_precedes @ SV22 @ SV42 @ SV57 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[507]) ).

thf(553,plain,
    ! [SV22: $i,SV42: $i,SV57: $i] :
      ( ( ( root @ ( sK6_X71 @ SV57 @ SV42 @ SV22 ) @ SV57 )
        = $true )
      | ( ( min_precedes @ SV22 @ SV42 @ SV57 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[508]) ).

thf(554,plain,
    ! [SV93: $i,SV76: $i] :
      ( ( ( earlier @ SV76 @ SV93 )
        = $false )
      | ( ( ~ ( legal @ SV93 ) )
        = $true )
      | ( ( precedes @ SV76 @ SV93 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(555,plain,
    ! [SV122: $i,SV111: $i] :
      ( ( ~ ( precedes @ SV111 @ SV122 )
        | ( earlier @ SV111 @ SV122 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[512]) ).

thf(556,plain,
    ! [SV123: $i,SV112: $i] :
      ( ( ~ ( precedes @ SV112 @ SV123 )
        | ( legal @ SV123 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(557,plain,
    ! [SV77: $i,SV94: $i,SV113: $i] :
      ( ( ( ~ ( atomic @ SV113 )
          | ~ ( subactivity @ SV94 @ SV113 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV77 @ SV113 ) )
        = $true )
      | ( ( atocc @ SV77 @ SV94 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[514]) ).

thf(558,plain,
    ! [SV78: $i,SV95: $i] :
      ( ( ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) )
                | ~ ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) ) )
          | ~ ( occurrence_of @ SV78 @ ( sK12_X46 @ SV95 @ SV78 ) ) )
        = $false )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(559,plain,
    ! [SV44: $i,SV25: $i] :
      ( ( ( leaf_occ @ SV25 @ ( sK14_X27 @ SV44 @ SV25 ) )
        = $true )
      | ( ( atomic @ SV44 )
        = $true )
      | ( ( leaf @ SV25 @ SV44 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[518]) ).

thf(560,plain,
    ! [SV25: $i,SV44: $i] :
      ( ( ( occurrence_of @ ( sK14_X27 @ SV44 @ SV25 ) @ SV44 )
        = $true )
      | ( ( atomic @ SV44 )
        = $true )
      | ( ( leaf @ SV25 @ SV44 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[519]) ).

thf(561,plain,
    ! [SV45: $i,SV81: $i,SV58: $i,SV1: $i,SV26: $i] :
      ( ( ( ~ ( occurrence_of @ SV26 @ SV1 )
          | ~ ( root_occ @ SV58 @ SV26 )
          | ~ ( leaf_occ @ SV81 @ SV26 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV45 @ SV26 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[520]) ).

thf(562,plain,
    ! [SV59: $i,SV46: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( occurrence_of @ SV27 @ SV2 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV46 @ SV27 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV59 @ SV27 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV46 ) )
        = $true )
      | ( ( min_precedes @ SV46 @ SV59 @ SV2 )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[521]) ).

thf(563,plain,
    ! [SV60: $i,SV3: $i,SV28: $i,SV47: $i] :
      ( ( ( ~ ( arboreal @ SV47 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV28 @ SV3 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV60 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV47 @ SV28 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[522]) ).

thf(564,plain,
    ! [SV5: $i,SV49: $i,SV114: $i,SV30: $i] :
      ( ( ( min_precedes @ SV30 @ SV114 @ SV49 )
        = $false )
      | ( ( leaf_occ @ SV30 @ SV5 )
        = $false )
      | ( ( occurrence_of @ SV5 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(565,plain,
    ! [SV6: $i,SV50: $i,SV31: $i,SV115: $i] :
      ( ( ( min_precedes @ SV115 @ SV31 @ SV50 )
        = $false )
      | ( ( occurrence_of @ SV6 @ SV50 )
        = $false )
      | ( ( root_occ @ SV31 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[524]) ).

thf(566,plain,
    ! [SV35: $i,SV12: $i,SV53: $i,SV62: $i] :
      ( ( ( occurrence_of @ SV62 @ SV53 )
        = $false )
      | ( ( min_precedes @ SV12 @ SV35 @ SV53 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV35 @ SV62 ) )
        = $true )
      | ( ( subactivity_occurrence @ SV12 @ SV62 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(567,plain,
    ! [SV36: $i,SV13: $i,SV101: $i,SV63: $i] :
      ( ( ( occurrence_of @ SV63 @ SV101 )
        = $false )
      | ( ( atomic @ SV101 )
        = $true )
      | ( ( ~ ( leaf_occ @ SV13 @ SV63 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV36 @ SV63 ) )
        = $true )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(568,plain,
    ! [SV37: $i,SV102: $i,SV64: $i,SV14: $i] :
      ( ( ( root_occ @ SV14 @ SV64 )
        = $false )
      | ( ( occurrence_of @ SV64 @ SV102 )
        = $false )
      | ( ( ~ ( root_occ @ SV37 @ SV64 ) )
        = $true )
      | ( ( SV14 = SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[527]) ).

thf(569,plain,
    ! [SV39: $i,SV65: $i,SV55: $i,SV16: $i] :
      ( ( ( min_precedes @ SV16 @ SV55 @ SV65 )
        = $false )
      | ( ( min_precedes @ SV16 @ SV39 @ SV65 )
        = $false )
      | ( ( ~ ( precedes @ SV39 @ SV55 ) )
        = $true )
      | ( ( min_precedes @ SV39 @ SV55 @ SV65 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[528]) ).

thf(570,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                                | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                          | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                    | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
              | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
                  | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) ) )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[531]) ).

thf(571,plain,
    ! [SV18: $i] :
      ( ( ( next_subocc @ ( sK3_SY110 @ SV18 ) @ ( sK4_SY112 @ SV18 ) @ tptp0 )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[532]) ).

thf(572,plain,
    ! [SV84: $i,SV68: $i] :
      ( ( ( arboreal @ SV68 )
        = $false )
      | ( ( atomic @ SV84 )
        = $true )
      | ( ( occurrence_of @ SV68 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[535]) ).

thf(573,plain,
    ! [SV69: $i,SV85: $i] :
      ( ( ( atomic @ SV85 )
        = $false )
      | ( ( arboreal @ SV69 )
        = $true )
      | ( ( occurrence_of @ SV69 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(574,plain,
    ! [SV70: $i,SV105: $i,SV86: $i] :
      ( ( ( ~ ( occurrence_of @ SV86 @ SV105 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV70 @ SV86 ) )
        = $true )
      | ( ( ~ ( leaf @ SV70 @ SV105 ) )
        = $true )
      | ( ( leaf_occ @ SV70 @ SV86 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[537]) ).

thf(575,plain,
    ! [SV71: $i,SV87: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) )
                | ~ ( subactivity_occurrence @ SV71 @ SV87 ) ) )
        = $false )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[538]) ).

thf(576,plain,
    ! [SV87: $i,SV71: $i] :
      ( ( ( ~ ( leaf @ SV71 @ ( sK8_X57 @ SV87 @ SV71 ) ) )
        = $false )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[538]) ).

thf(577,plain,
    ! [SV99: $i,SV88: $i,SV20: $i] :
      ( ( ( min_precedes @ SV20 @ SV88 @ SV99 )
        = $false )
      | ( ( ~ ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV99 )
              | ~ ( min_precedes @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV88 @ SV99 ) ) )
        = $true )
      | ( ( next_subocc @ SV20 @ SV88 @ SV99 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(578,plain,
    ! [SV124: $i,SV116: $i,SV20: $i] :
      ( ( ~ ( next_subocc @ SV20 @ SV116 @ SV124 )
        | ( min_precedes @ SV20 @ SV116 @ SV124 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[540]) ).

thf(579,plain,
    ! [SV125: $i,SV117: $i,SV20: $i] :
      ( ( ~ ( next_subocc @ SV20 @ SV117 @ SV125 )
        | ! [SY242: $i] :
            ( ~ ( min_precedes @ SV20 @ SY242 @ SV125 )
            | ~ ( min_precedes @ SY242 @ SV117 @ SV125 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[541]) ).

thf(580,plain,
    ! [SV118: $i,SV106: $i] :
      ( ( ( ! [SY240: $i] :
              ~ ( min_precedes @ SY240 @ SV106 @ SV118 )
          | ( min_precedes @ SV106 @ ( sK11_X50 @ SV118 @ SV106 ) @ SV118 ) )
        = $true )
      | ( ( leaf @ SV106 @ SV118 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[542]) ).

thf(581,plain,
    ! [SV119: $i,SV107: $i] :
      ( ( ( ~ ( root @ SV107 @ SV119 )
          | ( min_precedes @ SV107 @ ( sK10_X50 @ SV119 @ SV107 ) @ SV119 ) )
        = $true )
      | ( ( leaf @ SV107 @ SV119 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[543]) ).

thf(582,plain,
    ! [SV120: $i,SV108: $i] :
      ( ( ( ~ ( leaf @ SV108 @ SV120 ) )
        = $true )
      | ( ( ( min_precedes @ ( sK9_X49 @ SV120 @ SV108 ) @ SV108 @ SV120 )
          | ( root @ SV108 @ SV120 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[544]) ).

thf(583,plain,
    ! [SV121: $i,SV109: $i] :
      ( ( ( ~ ( leaf @ SV109 @ SV121 ) )
        = $true )
      | ( ( ! [SY241: $i] :
              ~ ( min_precedes @ SV109 @ SY241 @ SV121 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[545]) ).

thf(584,plain,
    ! [SV89: $i,SV72: $i] :
      ( ( ( ~ ( occurrence_of @ SV72 @ tptp3 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV72 @ sK1_X105 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV89 @ tptp2 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV72 @ SV89 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[546]) ).

thf(585,plain,
    ! [SV90: $i,SV73: $i] :
      ( ( ( ~ ( occurrence_of @ SV73 @ tptp3 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV73 @ sK1_X105 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV90 @ tptp1 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV73 @ SV90 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(586,plain,
    ! [SV74: $i,SV110: $i,SV91: $i] :
      ( ( ( ~ ( occurrence_of @ SV91 @ SV110 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV74 @ SV91 ) )
        = $true )
      | ( ( ~ ( root @ SV74 @ SV110 ) )
        = $true )
      | ( ( root_occ @ SV74 @ SV91 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[548]) ).

thf(587,plain,
    ! [SV75: $i,SV92: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) )
                | ~ ( subactivity_occurrence @ SV75 @ SV92 ) ) )
        = $false )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[549]) ).

thf(588,plain,
    ! [SV92: $i,SV75: $i] :
      ( ( ( ~ ( root @ SV75 @ ( sK7_X60 @ SV92 @ SV75 ) ) )
        = $false )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[549]) ).

thf(589,plain,
    ! [SV21: $i,SV41: $i,SV56: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 )
          | ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) )
        = $false )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(590,plain,
    ! [SV76: $i,SV93: $i] :
      ( ( ( legal @ SV93 )
        = $false )
      | ( ( earlier @ SV76 @ SV93 )
        = $false )
      | ( ( precedes @ SV76 @ SV93 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(591,plain,
    ! [SV122: $i,SV111: $i] :
      ( ( ( ~ ( precedes @ SV111 @ SV122 ) )
        = $true )
      | ( ( earlier @ SV111 @ SV122 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[555]) ).

thf(592,plain,
    ! [SV123: $i,SV112: $i] :
      ( ( ( ~ ( precedes @ SV112 @ SV123 ) )
        = $true )
      | ( ( legal @ SV123 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[556]) ).

thf(593,plain,
    ! [SV77: $i,SV94: $i,SV113: $i] :
      ( ( ( ~ ( atomic @ SV113 ) )
        = $true )
      | ( ( ~ ( subactivity @ SV94 @ SV113 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV77 @ SV113 ) )
        = $true )
      | ( ( atocc @ SV77 @ SV94 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[557]) ).

thf(594,plain,
    ! [SV78: $i,SV95: $i] :
      ( ( ( ~ ~ ( ~ ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) )
                | ~ ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) ) ) )
        = $false )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[558]) ).

thf(595,plain,
    ! [SV95: $i,SV78: $i] :
      ( ( ( ~ ( occurrence_of @ SV78 @ ( sK12_X46 @ SV95 @ SV78 ) ) )
        = $false )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[558]) ).

thf(596,plain,
    ! [SV45: $i,SV81: $i,SV58: $i,SV1: $i,SV26: $i] :
      ( ( ( ~ ( occurrence_of @ SV26 @ SV1 )
          | ~ ( root_occ @ SV58 @ SV26 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV81 @ SV26 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV45 @ SV26 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[561]) ).

thf(597,plain,
    ! [SV59: $i,SV46: $i,SV2: $i,SV27: $i] :
      ( ( ( occurrence_of @ SV27 @ SV2 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV46 @ SV27 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV59 @ SV27 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV46 ) )
        = $true )
      | ( ( min_precedes @ SV46 @ SV59 @ SV2 )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[562]) ).

thf(598,plain,
    ! [SV60: $i,SV3: $i,SV28: $i,SV47: $i] :
      ( ( ( arboreal @ SV47 )
        = $false )
      | ( ( ~ ( occurrence_of @ SV28 @ SV3 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV60 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV47 @ SV28 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(599,plain,
    ! [SV53: $i,SV12: $i,SV62: $i,SV35: $i] :
      ( ( ( subactivity_occurrence @ SV35 @ SV62 )
        = $false )
      | ( ( min_precedes @ SV12 @ SV35 @ SV53 )
        = $false )
      | ( ( occurrence_of @ SV62 @ SV53 )
        = $false )
      | ( ( subactivity_occurrence @ SV12 @ SV62 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[566]) ).

thf(600,plain,
    ! [SV36: $i,SV101: $i,SV63: $i,SV13: $i] :
      ( ( ( leaf_occ @ SV13 @ SV63 )
        = $false )
      | ( ( atomic @ SV101 )
        = $true )
      | ( ( occurrence_of @ SV63 @ SV101 )
        = $false )
      | ( ( ~ ( leaf_occ @ SV36 @ SV63 ) )
        = $true )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[567]) ).

thf(601,plain,
    ! [SV14: $i,SV102: $i,SV64: $i,SV37: $i] :
      ( ( ( root_occ @ SV37 @ SV64 )
        = $false )
      | ( ( occurrence_of @ SV64 @ SV102 )
        = $false )
      | ( ( root_occ @ SV14 @ SV64 )
        = $false )
      | ( ( SV14 = SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[568]) ).

thf(602,plain,
    ! [SV65: $i,SV16: $i,SV55: $i,SV39: $i] :
      ( ( ( precedes @ SV39 @ SV55 )
        = $false )
      | ( ( min_precedes @ SV16 @ SV39 @ SV65 )
        = $false )
      | ( ( min_precedes @ SV16 @ SV55 @ SV65 )
        = $false )
      | ( ( min_precedes @ SV39 @ SV55 @ SV65 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(603,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                            | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                      | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
          | ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
              | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(604,plain,
    ! [SV70: $i,SV105: $i,SV86: $i] :
      ( ( ( occurrence_of @ SV86 @ SV105 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV70 @ SV86 ) )
        = $true )
      | ( ( ~ ( leaf @ SV70 @ SV105 ) )
        = $true )
      | ( ( leaf_occ @ SV70 @ SV86 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(605,plain,
    ! [SV71: $i,SV87: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) )
              | ~ ( subactivity_occurrence @ SV71 @ SV87 ) ) )
        = $true )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[575]) ).

thf(606,plain,
    ! [SV87: $i,SV71: $i] :
      ( ( ( leaf @ SV71 @ ( sK8_X57 @ SV87 @ SV71 ) )
        = $true )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[576]) ).

thf(607,plain,
    ! [SV88: $i,SV99: $i,SV20: $i] :
      ( ( ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV99 )
          | ~ ( min_precedes @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV88 @ SV99 ) )
        = $false )
      | ( ( min_precedes @ SV20 @ SV88 @ SV99 )
        = $false )
      | ( ( next_subocc @ SV20 @ SV88 @ SV99 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(608,plain,
    ! [SV124: $i,SV116: $i,SV20: $i] :
      ( ( ( ~ ( next_subocc @ SV20 @ SV116 @ SV124 ) )
        = $true )
      | ( ( min_precedes @ SV20 @ SV116 @ SV124 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[578]) ).

thf(609,plain,
    ! [SV125: $i,SV117: $i,SV20: $i] :
      ( ( ( ~ ( next_subocc @ SV20 @ SV117 @ SV125 ) )
        = $true )
      | ( ( ! [SY242: $i] :
              ( ~ ( min_precedes @ SV20 @ SY242 @ SV125 )
              | ~ ( min_precedes @ SY242 @ SV117 @ SV125 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[579]) ).

thf(610,plain,
    ! [SV118: $i,SV106: $i] :
      ( ( ( ! [SY240: $i] :
              ~ ( min_precedes @ SY240 @ SV106 @ SV118 ) )
        = $true )
      | ( ( min_precedes @ SV106 @ ( sK11_X50 @ SV118 @ SV106 ) @ SV118 )
        = $true )
      | ( ( leaf @ SV106 @ SV118 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[580]) ).

thf(611,plain,
    ! [SV119: $i,SV107: $i] :
      ( ( ( ~ ( root @ SV107 @ SV119 ) )
        = $true )
      | ( ( min_precedes @ SV107 @ ( sK10_X50 @ SV119 @ SV107 ) @ SV119 )
        = $true )
      | ( ( leaf @ SV107 @ SV119 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[581]) ).

thf(612,plain,
    ! [SV120: $i,SV108: $i] :
      ( ( ( leaf @ SV108 @ SV120 )
        = $false )
      | ( ( ( min_precedes @ ( sK9_X49 @ SV120 @ SV108 ) @ SV108 @ SV120 )
          | ( root @ SV108 @ SV120 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(613,plain,
    ! [SV121: $i,SV109: $i] :
      ( ( ( leaf @ SV109 @ SV121 )
        = $false )
      | ( ( ! [SY241: $i] :
              ~ ( min_precedes @ SV109 @ SY241 @ SV121 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[583]) ).

thf(614,plain,
    ! [SV89: $i,SV72: $i] :
      ( ( ( occurrence_of @ SV72 @ tptp3 )
        = $false )
      | ( ( ~ ( root_occ @ SV72 @ sK1_X105 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV89 @ tptp2 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV72 @ SV89 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(615,plain,
    ! [SV90: $i,SV73: $i] :
      ( ( ( occurrence_of @ SV73 @ tptp3 )
        = $false )
      | ( ( ~ ( root_occ @ SV73 @ sK1_X105 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV90 @ tptp1 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV73 @ SV90 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[585]) ).

thf(616,plain,
    ! [SV74: $i,SV110: $i,SV91: $i] :
      ( ( ( occurrence_of @ SV91 @ SV110 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV74 @ SV91 ) )
        = $true )
      | ( ( ~ ( root @ SV74 @ SV110 ) )
        = $true )
      | ( ( root_occ @ SV74 @ SV91 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(617,plain,
    ! [SV75: $i,SV92: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) )
              | ~ ( subactivity_occurrence @ SV75 @ SV92 ) ) )
        = $true )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[587]) ).

thf(618,plain,
    ! [SV92: $i,SV75: $i] :
      ( ( ( root @ SV75 @ ( sK7_X60 @ SV92 @ SV75 ) )
        = $true )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[588]) ).

thf(619,plain,
    ! [SV21: $i,SV41: $i,SV56: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 ) )
        = $false )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[589]) ).

thf(620,plain,
    ! [SV21: $i,SV56: $i,SV41: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) ) )
        = $false )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[589]) ).

thf(621,plain,
    ! [SV122: $i,SV111: $i] :
      ( ( ( precedes @ SV111 @ SV122 )
        = $false )
      | ( ( earlier @ SV111 @ SV122 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(622,plain,
    ! [SV123: $i,SV112: $i] :
      ( ( ( precedes @ SV112 @ SV123 )
        = $false )
      | ( ( legal @ SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(623,plain,
    ! [SV77: $i,SV94: $i,SV113: $i] :
      ( ( ( atomic @ SV113 )
        = $false )
      | ( ( ~ ( subactivity @ SV94 @ SV113 ) )
        = $true )
      | ( ( ~ ( occurrence_of @ SV77 @ SV113 ) )
        = $true )
      | ( ( atocc @ SV77 @ SV94 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[593]) ).

thf(624,plain,
    ! [SV78: $i,SV95: $i] :
      ( ( ( ~ ( ~ ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) )
              | ~ ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) ) ) )
        = $true )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[594]) ).

thf(625,plain,
    ! [SV95: $i,SV78: $i] :
      ( ( ( occurrence_of @ SV78 @ ( sK12_X46 @ SV95 @ SV78 ) )
        = $true )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[595]) ).

thf(626,plain,
    ! [SV45: $i,SV81: $i,SV58: $i,SV1: $i,SV26: $i] :
      ( ( ( ~ ( occurrence_of @ SV26 @ SV1 ) )
        = $true )
      | ( ( ~ ( root_occ @ SV58 @ SV26 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV81 @ SV26 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV45 @ SV26 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[596]) ).

thf(627,plain,
    ! [SV59: $i,SV2: $i,SV27: $i,SV46: $i] :
      ( ( ( subactivity_occurrence @ SV46 @ SV27 )
        = $false )
      | ( ( occurrence_of @ SV27 @ SV2 )
        = $false )
      | ( ( ~ ( leaf_occ @ SV59 @ SV27 ) )
        = $true )
      | ( ( ~ ( arboreal @ SV46 ) )
        = $true )
      | ( ( min_precedes @ SV46 @ SV59 @ SV2 )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(628,plain,
    ! [SV60: $i,SV47: $i,SV3: $i,SV28: $i] :
      ( ( ( occurrence_of @ SV28 @ SV3 )
        = $false )
      | ( ( arboreal @ SV47 )
        = $false )
      | ( ( ~ ( arboreal @ SV60 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV47 @ SV28 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(629,plain,
    ! [SV13: $i,SV101: $i,SV63: $i,SV36: $i] :
      ( ( ( leaf_occ @ SV36 @ SV63 )
        = $false )
      | ( ( occurrence_of @ SV63 @ SV101 )
        = $false )
      | ( ( atomic @ SV101 )
        = $true )
      | ( ( leaf_occ @ SV13 @ SV63 )
        = $false )
      | ( ( SV13 = SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(630,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                            | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                      | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
                | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[603]) ).

thf(631,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
              | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[603]) ).

thf(632,plain,
    ! [SV105: $i,SV86: $i,SV70: $i] :
      ( ( ( subactivity_occurrence @ SV70 @ SV86 )
        = $false )
      | ( ( occurrence_of @ SV86 @ SV105 )
        = $false )
      | ( ( ~ ( leaf @ SV70 @ SV105 ) )
        = $true )
      | ( ( leaf_occ @ SV70 @ SV86 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(633,plain,
    ! [SV71: $i,SV87: $i] :
      ( ( ( ~ ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) )
          | ~ ( subactivity_occurrence @ SV71 @ SV87 ) )
        = $false )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(634,plain,
    ! [SV88: $i,SV99: $i,SV20: $i] :
      ( ( ( ~ ( min_precedes @ SV20 @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV99 ) )
        = $false )
      | ( ( min_precedes @ SV20 @ SV88 @ SV99 )
        = $false )
      | ( ( next_subocc @ SV20 @ SV88 @ SV99 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[607]) ).

thf(635,plain,
    ! [SV20: $i,SV88: $i,SV99: $i] :
      ( ( ( ~ ( min_precedes @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV88 @ SV99 ) )
        = $false )
      | ( ( min_precedes @ SV20 @ SV88 @ SV99 )
        = $false )
      | ( ( next_subocc @ SV20 @ SV88 @ SV99 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[607]) ).

thf(636,plain,
    ! [SV124: $i,SV116: $i,SV20: $i] :
      ( ( ( next_subocc @ SV20 @ SV116 @ SV124 )
        = $false )
      | ( ( min_precedes @ SV20 @ SV116 @ SV124 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[608]) ).

thf(637,plain,
    ! [SV125: $i,SV117: $i,SV20: $i] :
      ( ( ( next_subocc @ SV20 @ SV117 @ SV125 )
        = $false )
      | ( ( ! [SY242: $i] :
              ( ~ ( min_precedes @ SV20 @ SY242 @ SV125 )
              | ~ ( min_precedes @ SY242 @ SV117 @ SV125 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(638,plain,
    ! [SV118: $i,SV106: $i,SV126: $i] :
      ( ( ( ~ ( min_precedes @ SV126 @ SV106 @ SV118 ) )
        = $true )
      | ( ( min_precedes @ SV106 @ ( sK11_X50 @ SV118 @ SV106 ) @ SV118 )
        = $true )
      | ( ( leaf @ SV106 @ SV118 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[610]) ).

thf(639,plain,
    ! [SV119: $i,SV107: $i] :
      ( ( ( root @ SV107 @ SV119 )
        = $false )
      | ( ( min_precedes @ SV107 @ ( sK10_X50 @ SV119 @ SV107 ) @ SV119 )
        = $true )
      | ( ( leaf @ SV107 @ SV119 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[611]) ).

thf(640,plain,
    ! [SV108: $i,SV120: $i] :
      ( ( ( min_precedes @ ( sK9_X49 @ SV120 @ SV108 ) @ SV108 @ SV120 )
        = $true )
      | ( ( root @ SV108 @ SV120 )
        = $true )
      | ( ( leaf @ SV108 @ SV120 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[612]) ).

thf(641,plain,
    ! [SV121: $i,SV127: $i,SV109: $i] :
      ( ( ( ~ ( min_precedes @ SV109 @ SV127 @ SV121 ) )
        = $true )
      | ( ( leaf @ SV109 @ SV121 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[613]) ).

thf(642,plain,
    ! [SV89: $i,SV72: $i] :
      ( ( ( root_occ @ SV72 @ sK1_X105 )
        = $false )
      | ( ( occurrence_of @ SV72 @ tptp3 )
        = $false )
      | ( ( ~ ( occurrence_of @ SV89 @ tptp2 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV72 @ SV89 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(643,plain,
    ! [SV90: $i,SV73: $i] :
      ( ( ( root_occ @ SV73 @ sK1_X105 )
        = $false )
      | ( ( occurrence_of @ SV73 @ tptp3 )
        = $false )
      | ( ( ~ ( occurrence_of @ SV90 @ tptp1 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV73 @ SV90 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(644,plain,
    ! [SV110: $i,SV91: $i,SV74: $i] :
      ( ( ( subactivity_occurrence @ SV74 @ SV91 )
        = $false )
      | ( ( occurrence_of @ SV91 @ SV110 )
        = $false )
      | ( ( ~ ( root @ SV74 @ SV110 ) )
        = $true )
      | ( ( root_occ @ SV74 @ SV91 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[616]) ).

thf(645,plain,
    ! [SV75: $i,SV92: $i] :
      ( ( ( ~ ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) )
          | ~ ( subactivity_occurrence @ SV75 @ SV92 ) )
        = $false )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[617]) ).

thf(646,plain,
    ! [SV21: $i,SV41: $i,SV56: $i] :
      ( ( ( occurrence_of @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) @ SV21 )
        = $true )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[619]) ).

thf(647,plain,
    ! [SV21: $i,SV56: $i,SV41: $i] :
      ( ( ( subactivity_occurrence @ SV41 @ ( sK15_X24 @ SV56 @ SV41 @ SV21 ) )
        = $true )
      | ( ( min_precedes @ SV41 @ SV56 @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[620]) ).

thf(648,plain,
    ! [SV77: $i,SV113: $i,SV94: $i] :
      ( ( ( subactivity @ SV94 @ SV113 )
        = $false )
      | ( ( atomic @ SV113 )
        = $false )
      | ( ( ~ ( occurrence_of @ SV77 @ SV113 ) )
        = $true )
      | ( ( atocc @ SV77 @ SV94 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(649,plain,
    ! [SV78: $i,SV95: $i] :
      ( ( ( ~ ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) )
          | ~ ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) ) )
        = $false )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[624]) ).

thf(650,plain,
    ! [SV45: $i,SV81: $i,SV58: $i,SV1: $i,SV26: $i] :
      ( ( ( occurrence_of @ SV26 @ SV1 )
        = $false )
      | ( ( ~ ( root_occ @ SV58 @ SV26 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV81 @ SV26 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV45 @ SV26 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[626]) ).

thf(651,plain,
    ! [SV46: $i,SV2: $i,SV27: $i,SV59: $i] :
      ( ( ( leaf_occ @ SV59 @ SV27 )
        = $false )
      | ( ( occurrence_of @ SV27 @ SV2 )
        = $false )
      | ( ( subactivity_occurrence @ SV46 @ SV27 )
        = $false )
      | ( ( ~ ( arboreal @ SV46 ) )
        = $true )
      | ( ( min_precedes @ SV46 @ SV59 @ SV2 )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(652,plain,
    ! [SV3: $i,SV28: $i,SV47: $i,SV60: $i] :
      ( ( ( arboreal @ SV60 )
        = $false )
      | ( ( arboreal @ SV47 )
        = $false )
      | ( ( occurrence_of @ SV28 @ SV3 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV47 @ SV28 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[628]) ).

thf(653,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                          | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                    | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
              | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) ) )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[630]) ).

thf(654,plain,
    ! [SV18: $i] :
      ( ( ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
          | ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 ) )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[631]) ).

thf(655,plain,
    ! [SV86: $i,SV105: $i,SV70: $i] :
      ( ( ( leaf @ SV70 @ SV105 )
        = $false )
      | ( ( occurrence_of @ SV86 @ SV105 )
        = $false )
      | ( ( subactivity_occurrence @ SV70 @ SV86 )
        = $false )
      | ( ( leaf_occ @ SV70 @ SV86 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[632]) ).

thf(656,plain,
    ! [SV71: $i,SV87: $i] :
      ( ( ( ~ ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) ) )
        = $false )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(657,plain,
    ! [SV87: $i,SV71: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV71 @ SV87 ) )
        = $false )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(658,plain,
    ! [SV88: $i,SV99: $i,SV20: $i] :
      ( ( ( min_precedes @ SV20 @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV99 )
        = $true )
      | ( ( min_precedes @ SV20 @ SV88 @ SV99 )
        = $false )
      | ( ( next_subocc @ SV20 @ SV88 @ SV99 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[634]) ).

thf(659,plain,
    ! [SV20: $i,SV88: $i,SV99: $i] :
      ( ( ( min_precedes @ ( sK5_X81 @ SV99 @ SV88 @ SV20 ) @ SV88 @ SV99 )
        = $true )
      | ( ( min_precedes @ SV20 @ SV88 @ SV99 )
        = $false )
      | ( ( next_subocc @ SV20 @ SV88 @ SV99 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[635]) ).

thf(660,plain,
    ! [SV117: $i,SV125: $i,SV128: $i,SV20: $i] :
      ( ( ( ~ ( min_precedes @ SV20 @ SV128 @ SV125 )
          | ~ ( min_precedes @ SV128 @ SV117 @ SV125 ) )
        = $true )
      | ( ( next_subocc @ SV20 @ SV117 @ SV125 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[637]) ).

thf(661,plain,
    ! [SV118: $i,SV106: $i,SV126: $i] :
      ( ( ( min_precedes @ SV126 @ SV106 @ SV118 )
        = $false )
      | ( ( min_precedes @ SV106 @ ( sK11_X50 @ SV118 @ SV106 ) @ SV118 )
        = $true )
      | ( ( leaf @ SV106 @ SV118 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[638]) ).

thf(662,plain,
    ! [SV121: $i,SV127: $i,SV109: $i] :
      ( ( ( min_precedes @ SV109 @ SV127 @ SV121 )
        = $false )
      | ( ( leaf @ SV109 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(663,plain,
    ! [SV72: $i,SV89: $i] :
      ( ( ( occurrence_of @ SV89 @ tptp2 )
        = $false )
      | ( ( occurrence_of @ SV72 @ tptp3 )
        = $false )
      | ( ( root_occ @ SV72 @ sK1_X105 )
        = $false )
      | ( ( ~ ( min_precedes @ SV72 @ SV89 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[642]) ).

thf(664,plain,
    ! [SV73: $i,SV90: $i] :
      ( ( ( occurrence_of @ SV90 @ tptp1 )
        = $false )
      | ( ( occurrence_of @ SV73 @ tptp3 )
        = $false )
      | ( ( root_occ @ SV73 @ sK1_X105 )
        = $false )
      | ( ( ~ ( min_precedes @ SV73 @ SV90 @ tptp0 ) )
        = $true )
      | ( ( ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(665,plain,
    ! [SV91: $i,SV110: $i,SV74: $i] :
      ( ( ( root @ SV74 @ SV110 )
        = $false )
      | ( ( occurrence_of @ SV91 @ SV110 )
        = $false )
      | ( ( subactivity_occurrence @ SV74 @ SV91 )
        = $false )
      | ( ( root_occ @ SV74 @ SV91 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(666,plain,
    ! [SV75: $i,SV92: $i] :
      ( ( ( ~ ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) ) )
        = $false )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[645]) ).

thf(667,plain,
    ! [SV92: $i,SV75: $i] :
      ( ( ( ~ ( subactivity_occurrence @ SV75 @ SV92 ) )
        = $false )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[645]) ).

thf(668,plain,
    ! [SV94: $i,SV113: $i,SV77: $i] :
      ( ( ( occurrence_of @ SV77 @ SV113 )
        = $false )
      | ( ( atomic @ SV113 )
        = $false )
      | ( ( subactivity @ SV94 @ SV113 )
        = $false )
      | ( ( atocc @ SV77 @ SV94 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(669,plain,
    ! [SV78: $i,SV95: $i] :
      ( ( ( ~ ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) ) )
        = $false )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(670,plain,
    ! [SV78: $i,SV95: $i] :
      ( ( ( ~ ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) ) )
        = $false )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(671,plain,
    ! [SV45: $i,SV81: $i,SV1: $i,SV26: $i,SV58: $i] :
      ( ( ( root_occ @ SV58 @ SV26 )
        = $false )
      | ( ( occurrence_of @ SV26 @ SV1 )
        = $false )
      | ( ( ~ ( leaf_occ @ SV81 @ SV26 ) )
        = $true )
      | ( ( ~ ( subactivity_occurrence @ SV45 @ SV26 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(672,plain,
    ! [SV59: $i,SV2: $i,SV27: $i,SV46: $i] :
      ( ( ( arboreal @ SV46 )
        = $false )
      | ( ( subactivity_occurrence @ SV46 @ SV27 )
        = $false )
      | ( ( occurrence_of @ SV27 @ SV2 )
        = $false )
      | ( ( leaf_occ @ SV59 @ SV27 )
        = $false )
      | ( ( min_precedes @ SV46 @ SV59 @ SV2 )
        = $true )
      | ( ( SV59 = SV46 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(673,plain,
    ! [SV60: $i,SV3: $i,SV28: $i,SV47: $i] :
      ( ( ( subactivity_occurrence @ SV47 @ SV28 )
        = $false )
      | ( ( occurrence_of @ SV28 @ SV3 )
        = $false )
      | ( ( arboreal @ SV47 )
        = $false )
      | ( ( arboreal @ SV60 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV60 @ SV28 ) )
        = $true )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(674,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                      | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
          | ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[653]) ).

thf(675,plain,
    ! [SV18: $i] :
      ( ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp2 )
        = $true )
      | ( ( occurrence_of @ ( sK4_SY112 @ SV18 ) @ tptp1 )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[654]) ).

thf(676,plain,
    ! [SV71: $i,SV87: $i] :
      ( ( ( occurrence_of @ SV87 @ ( sK8_X57 @ SV87 @ SV71 ) )
        = $true )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[656]) ).

thf(677,plain,
    ! [SV87: $i,SV71: $i] :
      ( ( ( subactivity_occurrence @ SV71 @ SV87 )
        = $true )
      | ( ( leaf_occ @ SV71 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[657]) ).

thf(678,plain,
    ! [SV117: $i,SV125: $i,SV128: $i,SV20: $i] :
      ( ( ( ~ ( min_precedes @ SV20 @ SV128 @ SV125 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV128 @ SV117 @ SV125 ) )
        = $true )
      | ( ( next_subocc @ SV20 @ SV117 @ SV125 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[660]) ).

thf(679,plain,
    ! [SV89: $i,SV72: $i] :
      ( ( ( min_precedes @ SV72 @ SV89 @ tptp0 )
        = $false )
      | ( ( root_occ @ SV72 @ sK1_X105 )
        = $false )
      | ( ( occurrence_of @ SV72 @ tptp3 )
        = $false )
      | ( ( occurrence_of @ SV89 @ tptp2 )
        = $false )
      | ( ( ~ ( leaf_occ @ SV89 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(680,plain,
    ! [SV90: $i,SV73: $i] :
      ( ( ( min_precedes @ SV73 @ SV90 @ tptp0 )
        = $false )
      | ( ( root_occ @ SV73 @ sK1_X105 )
        = $false )
      | ( ( occurrence_of @ SV73 @ tptp3 )
        = $false )
      | ( ( occurrence_of @ SV90 @ tptp1 )
        = $false )
      | ( ( ~ ( leaf_occ @ SV90 @ sK1_X105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[664]) ).

thf(681,plain,
    ! [SV75: $i,SV92: $i] :
      ( ( ( occurrence_of @ SV92 @ ( sK7_X60 @ SV92 @ SV75 ) )
        = $true )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[666]) ).

thf(682,plain,
    ! [SV92: $i,SV75: $i] :
      ( ( ( subactivity_occurrence @ SV75 @ SV92 )
        = $true )
      | ( ( root_occ @ SV75 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[667]) ).

thf(683,plain,
    ! [SV78: $i,SV95: $i] :
      ( ( ( atomic @ ( sK12_X46 @ SV95 @ SV78 ) )
        = $true )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[669]) ).

thf(684,plain,
    ! [SV78: $i,SV95: $i] :
      ( ( ( subactivity @ SV95 @ ( sK12_X46 @ SV95 @ SV78 ) )
        = $true )
      | ( ( atocc @ SV78 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[670]) ).

thf(685,plain,
    ! [SV45: $i,SV58: $i,SV1: $i,SV26: $i,SV81: $i] :
      ( ( ( leaf_occ @ SV81 @ SV26 )
        = $false )
      | ( ( occurrence_of @ SV26 @ SV1 )
        = $false )
      | ( ( root_occ @ SV58 @ SV26 )
        = $false )
      | ( ( ~ ( subactivity_occurrence @ SV45 @ SV26 ) )
        = $true )
      | ( ( ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(686,plain,
    ! [SV3: $i,SV47: $i,SV28: $i,SV60: $i] :
      ( ( ( subactivity_occurrence @ SV60 @ SV28 )
        = $false )
      | ( ( arboreal @ SV60 )
        = $false )
      | ( ( arboreal @ SV47 )
        = $false )
      | ( ( occurrence_of @ SV28 @ SV3 )
        = $false )
      | ( ( subactivity_occurrence @ SV47 @ SV28 )
        = $false )
      | ( ( ( SV47 = SV60 )
          | ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(687,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                      | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
                | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[674]) ).

thf(688,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[674]) ).

thf(689,plain,
    ! [SV117: $i,SV125: $i,SV128: $i,SV20: $i] :
      ( ( ( min_precedes @ SV20 @ SV128 @ SV125 )
        = $false )
      | ( ( ~ ( min_precedes @ SV128 @ SV117 @ SV125 ) )
        = $true )
      | ( ( next_subocc @ SV20 @ SV117 @ SV125 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(690,plain,
    ! [SV72: $i,SV89: $i] :
      ( ( ( leaf_occ @ SV89 @ sK1_X105 )
        = $false )
      | ( ( occurrence_of @ SV89 @ tptp2 )
        = $false )
      | ( ( occurrence_of @ SV72 @ tptp3 )
        = $false )
      | ( ( root_occ @ SV72 @ sK1_X105 )
        = $false )
      | ( ( min_precedes @ SV72 @ SV89 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(691,plain,
    ! [SV73: $i,SV90: $i] :
      ( ( ( leaf_occ @ SV90 @ sK1_X105 )
        = $false )
      | ( ( occurrence_of @ SV90 @ tptp1 )
        = $false )
      | ( ( occurrence_of @ SV73 @ tptp3 )
        = $false )
      | ( ( root_occ @ SV73 @ sK1_X105 )
        = $false )
      | ( ( min_precedes @ SV73 @ SV90 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(692,plain,
    ! [SV81: $i,SV1: $i,SV58: $i,SV26: $i,SV45: $i] :
      ( ( ( subactivity_occurrence @ SV45 @ SV26 )
        = $false )
      | ( ( root_occ @ SV58 @ SV26 )
        = $false )
      | ( ( occurrence_of @ SV26 @ SV1 )
        = $false )
      | ( ( leaf_occ @ SV81 @ SV26 )
        = $false )
      | ( ( ~ ( min_precedes @ SV58 @ SV45 @ SV1 ) )
        = $true )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[685]) ).

thf(693,plain,
    ! [SV28: $i,SV3: $i,SV60: $i,SV47: $i] :
      ( ( ( SV47 = SV60 )
        = $true )
      | ( ( ( min_precedes @ SV47 @ SV60 @ SV3 )
          | ( min_precedes @ SV60 @ SV47 @ SV3 ) )
        = $true )
      | ( ( subactivity_occurrence @ SV47 @ SV28 )
        = $false )
      | ( ( occurrence_of @ SV28 @ SV3 )
        = $false )
      | ( ( arboreal @ SV47 )
        = $false )
      | ( ( arboreal @ SV60 )
        = $false )
      | ( ( subactivity_occurrence @ SV60 @ SV28 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[686]) ).

thf(694,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                    | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
              | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) ) )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[687]) ).

thf(695,plain,
    ! [SV18: $i] :
      ( ( ( next_subocc @ ( sK2_X102 @ SV18 ) @ ( sK3_SY110 @ SV18 ) @ tptp0 )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[688]) ).

thf(696,plain,
    ! [SV20: $i,SV125: $i,SV117: $i,SV128: $i] :
      ( ( ( min_precedes @ SV128 @ SV117 @ SV125 )
        = $false )
      | ( ( min_precedes @ SV20 @ SV128 @ SV125 )
        = $false )
      | ( ( next_subocc @ SV20 @ SV117 @ SV125 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(697,plain,
    ! [SV26: $i,SV81: $i,SV1: $i,SV45: $i,SV58: $i] :
      ( ( ( min_precedes @ SV58 @ SV45 @ SV1 )
        = $false )
      | ( ( leaf_occ @ SV81 @ SV26 )
        = $false )
      | ( ( occurrence_of @ SV26 @ SV1 )
        = $false )
      | ( ( root_occ @ SV58 @ SV26 )
        = $false )
      | ( ( subactivity_occurrence @ SV45 @ SV26 )
        = $false )
      | ( ( SV45 = SV81 )
        = $true )
      | ( ( min_precedes @ SV45 @ SV81 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[692]) ).

thf(698,plain,
    ! [SV28: $i,SV3: $i,SV60: $i,SV47: $i] :
      ( ( ( min_precedes @ SV47 @ SV60 @ SV3 )
        = $true )
      | ( ( min_precedes @ SV60 @ SV47 @ SV3 )
        = $true )
      | ( ( SV47 = SV60 )
        = $true )
      | ( ( subactivity_occurrence @ SV47 @ SV28 )
        = $false )
      | ( ( occurrence_of @ SV28 @ SV3 )
        = $false )
      | ( ( arboreal @ SV47 )
        = $false )
      | ( ( arboreal @ SV60 )
        = $false )
      | ( ( subactivity_occurrence @ SV60 @ SV28 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[693]) ).

thf(699,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
          | ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[694]) ).

thf(700,plain,
    ! [SV18: $i] :
      ( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
                | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[699]) ).

thf(701,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[699]) ).

thf(702,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
              | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) ) )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(703,plain,
    ! [SV18: $i] :
      ( ( ( occurrence_of @ ( sK3_SY110 @ SV18 ) @ tptp4 )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[701]) ).

thf(704,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
          | ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[702]) ).

thf(705,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[704]) ).

thf(706,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 ) )
        = $false )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[704]) ).

thf(707,plain,
    ! [SV18: $i] :
      ( ( ( occurrence_of @ ( sK2_X102 @ SV18 ) @ tptp3 )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[705]) ).

thf(708,plain,
    ! [SV18: $i] :
      ( ( ( root_occ @ ( sK2_X102 @ SV18 ) @ SV18 )
        = $true )
      | ( ( occurrence_of @ SV18 @ tptp0 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[706]) ).

thf(709,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[171,708,707,703,698,697,696,695,691,690,684,683,682,681,677,676,675,672,668,665,662,661,659,658,655,647,646,640,639,636,629,625,622,621,618,606,602,601,599,590,573,572,571,565,564,560,559,553,552,551,534,533,530,529,517,516,510,509,484,483,481,475,461,460,441,430,384,382,338,293,225,224,223,222,221,220,219,183,176,175,174,173]) ).

thf(710,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[709]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.14  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun 13 03:20:54 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.41  
% 0.14/0.41   No.of.Axioms: 45
% 0.14/0.41  
% 0.14/0.41   Length.of.Defs: 0
% 0.14/0.41  
% 0.14/0.41   Contains.Choice.Funs: false
% 0.14/0.42  .
% 0.22/0.45  (rf:0,axioms:45,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:47,loop_count:0,foatp_calls:0,translation:fof_full).........................................
% 2.67/2.89  
% 2.67/2.89  ********************************
% 2.67/2.89  *   All subproblems solved!    *
% 2.67/2.89  ********************************
% 2.67/2.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:46,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:709,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.92/3.12  
% 2.92/3.12  %**** Beginning of derivation protocol ****
% 2.92/3.12  % SZS output start CNFRefutation
% See solution above
% 2.92/3.13  
% 2.92/3.13  %**** End of derivation protocol ****
% 2.92/3.13  %**** no. of clauses in derivation: 710 ****
% 2.92/3.13  %**** clause counter: 709 ****
% 2.92/3.13  
% 2.92/3.13  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:46,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:709,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------