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iProverMo---2.5-0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : PRO010+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n032.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 17:47:33 EDT 2022

% Result   : Theorem 0.12s 0.41s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(sos_61,axiom,
    tptp1 != tptp2,
    input ).

fof(sos_61_0,plain,
    ( tptp1 != tptp2
    | $false ),
    inference(orientation,[status(thm)],[sos_61]) ).

fof(sos_60,axiom,
    tptp3 != tptp2,
    input ).

fof(sos_60_0,plain,
    ( tptp3 != tptp2
    | $false ),
    inference(orientation,[status(thm)],[sos_60]) ).

fof(sos_59,axiom,
    tptp3 != tptp1,
    input ).

fof(sos_59_0,plain,
    ( tptp3 != tptp1
    | $false ),
    inference(orientation,[status(thm)],[sos_59]) ).

fof(sos_58,axiom,
    tptp4 != tptp2,
    input ).

fof(sos_58_0,plain,
    ( tptp4 != tptp2
    | $false ),
    inference(orientation,[status(thm)],[sos_58]) ).

fof(sos_57,axiom,
    tptp4 != tptp1,
    input ).

fof(sos_57_0,plain,
    ( tptp4 != tptp1
    | $false ),
    inference(orientation,[status(thm)],[sos_57]) ).

fof(sos_56,axiom,
    tptp4 != tptp3,
    input ).

fof(sos_56_0,plain,
    ( tptp4 != tptp3
    | $false ),
    inference(orientation,[status(thm)],[sos_56]) ).

fof(sos_55,axiom,
    atomic(tptp3),
    input ).

fof(sos_55_0,plain,
    ( atomic(tptp3)
    | $false ),
    inference(orientation,[status(thm)],[sos_55]) ).

fof(sos_54,axiom,
    atomic(tptp2),
    input ).

fof(sos_54_0,plain,
    ( atomic(tptp2)
    | $false ),
    inference(orientation,[status(thm)],[sos_54]) ).

fof(sos_53,axiom,
    atomic(tptp1),
    input ).

fof(sos_53_0,plain,
    ( atomic(tptp1)
    | $false ),
    inference(orientation,[status(thm)],[sos_53]) ).

fof(sos_52,axiom,
    atomic(tptp4),
    input ).

fof(sos_52_0,plain,
    ( atomic(tptp4)
    | $false ),
    inference(orientation,[status(thm)],[sos_52]) ).

fof(sos_51,axiom,
    ~ atomic(tptp0),
    input ).

fof(sos_51_0,plain,
    ( ~ atomic(tptp0)
    | $false ),
    inference(orientation,[status(thm)],[sos_51]) ).

fof(sos_50,axiom,
    activity(tptp0),
    input ).

fof(sos_50_0,plain,
    ( activity(tptp0)
    | $false ),
    inference(orientation,[status(thm)],[sos_50]) ).

fof(sos_49,axiom,
    ! [X161] :
      ( occurrence_of(X161,tptp0)
     => ? [X162,X163,X164] :
          ( occurrence_of(X162,tptp3)
          & root_occ(X162,X161)
          & occurrence_of(X163,tptp4)
          & next_subocc(X162,X163,tptp0)
          & ( occurrence_of(X164,tptp1)
            | occurrence_of(X164,tptp2) )
          & next_subocc(X163,X164,tptp0)
          & leaf_occ(X164,X161) ) ),
    input ).

fof(sos_49_0,plain,
    ! [X161] :
      ( ~ occurrence_of(X161,tptp0)
      | ? [X162,X163,X164] :
          ( occurrence_of(X162,tptp3)
          & root_occ(X162,X161)
          & occurrence_of(X163,tptp4)
          & next_subocc(X162,X163,tptp0)
          & ( occurrence_of(X164,tptp1)
            | occurrence_of(X164,tptp2) )
          & next_subocc(X163,X164,tptp0)
          & leaf_occ(X164,X161) ) ),
    inference(orientation,[status(thm)],[sos_49]) ).

fof(sos_48,axiom,
    ! [X156,X157,X158,X159,X160] :
      ( ( occurrence_of(X157,X156)
        & root_occ(X159,X157)
        & leaf_occ(X160,X157)
        & subactivity_occurrence(X158,X157)
        & min_precedes(X159,X158,X156)
        & X158 != X160 )
     => min_precedes(X158,X160,X156) ),
    input ).

fof(sos_48_0,plain,
    ! [X156,X157,X158,X159,X160] :
      ( min_precedes(X158,X160,X156)
      | ~ ( occurrence_of(X157,X156)
          & root_occ(X159,X157)
          & leaf_occ(X160,X157)
          & subactivity_occurrence(X158,X157)
          & min_precedes(X159,X158,X156)
          & X158 != X160 ) ),
    inference(orientation,[status(thm)],[sos_48]) ).

fof(sos_47,axiom,
    ! [X151,X152,X153,X154,X155] :
      ( ( occurrence_of(X152,X151)
        & root_occ(X154,X152)
        & leaf_occ(X155,X152)
        & subactivity_occurrence(X153,X152)
        & min_precedes(X153,X155,X151)
        & X153 != X154 )
     => min_precedes(X154,X153,X151) ),
    input ).

fof(sos_47_0,plain,
    ! [X151,X152,X153,X154,X155] :
      ( min_precedes(X154,X153,X151)
      | ~ ( occurrence_of(X152,X151)
          & root_occ(X154,X152)
          & leaf_occ(X155,X152)
          & subactivity_occurrence(X153,X152)
          & min_precedes(X153,X155,X151)
          & X153 != X154 ) ),
    inference(orientation,[status(thm)],[sos_47]) ).

fof(sos_46,axiom,
    ! [X148,X149,X150] :
      ( min_precedes(X148,X149,X150)
     => arboreal(X148) ),
    input ).

fof(sos_46_0,plain,
    ! [X148,X149,X150] :
      ( ~ min_precedes(X148,X149,X150)
      | arboreal(X148) ),
    inference(orientation,[status(thm)],[sos_46]) ).

fof(sos_44,axiom,
    ! [X142,X143,X144] :
      ( next_subocc(X142,X143,X144)
     => ( arboreal(X142)
        & arboreal(X143) ) ),
    input ).

fof(sos_44_0,plain,
    ! [X142,X143,X144] :
      ( ~ next_subocc(X142,X143,X144)
      | ( arboreal(X142)
        & arboreal(X143) ) ),
    inference(orientation,[status(thm)],[sos_44]) ).

fof(sos_43,axiom,
    ! [X138,X139,X140,X141] :
      ( ( occurrence_of(X139,X138)
        & subactivity_occurrence(X140,X139)
        & leaf_occ(X141,X139)
        & arboreal(X140)
        & ~ min_precedes(X140,X141,X138) )
     => X141 = X140 ),
    input ).

fof(sos_43_0,plain,
    ! [X138,X139,X140,X141] :
      ( X141 = X140
      | ~ ( occurrence_of(X139,X138)
          & subactivity_occurrence(X140,X139)
          & leaf_occ(X141,X139)
          & arboreal(X140)
          & ~ min_precedes(X140,X141,X138) ) ),
    inference(orientation,[status(thm)],[sos_43]) ).

fof(sos_42,axiom,
    ! [X134,X135,X136,X137] :
      ( ( occurrence_of(X135,X134)
        & subactivity_occurrence(X136,X135)
        & root_occ(X137,X135)
        & arboreal(X136)
        & ~ min_precedes(X137,X136,X134) )
     => X137 = X136 ),
    input ).

fof(sos_42_0,plain,
    ! [X134,X135,X136,X137] :
      ( X137 = X136
      | ~ ( occurrence_of(X135,X134)
          & subactivity_occurrence(X136,X135)
          & root_occ(X137,X135)
          & arboreal(X136)
          & ~ min_precedes(X137,X136,X134) ) ),
    inference(orientation,[status(thm)],[sos_42]) ).

fof(sos_41,axiom,
    ! [X130,X131,X132,X133] :
      ( ( occurrence_of(X130,X133)
        & leaf_occ(X131,X130)
        & root_occ(X132,X130)
        & X131 != X132 )
     => min_precedes(X132,X131,X133) ),
    input ).

fof(sos_41_0,plain,
    ! [X130,X131,X132,X133] :
      ( min_precedes(X132,X131,X133)
      | ~ ( occurrence_of(X130,X133)
          & leaf_occ(X131,X130)
          & root_occ(X132,X130)
          & X131 != X132 ) ),
    inference(orientation,[status(thm)],[sos_41]) ).

fof(sos_40,axiom,
    ! [X126,X127,X128,X129] :
      ( ( next_subocc(X127,X126,X129)
        & next_subocc(X128,X126,X129) )
     => X127 = X128 ),
    input ).

fof(sos_40_0,plain,
    ! [X126,X127,X128,X129] :
      ( X127 = X128
      | ~ ( next_subocc(X127,X126,X129)
          & next_subocc(X128,X126,X129) ) ),
    inference(orientation,[status(thm)],[sos_40]) ).

fof(sos_39,axiom,
    ! [X121,X122,X123,X124,X125] :
      ( ( next_subocc(X121,X122,X124)
        & next_subocc(X121,X123,X124)
        & occurrence_of(X125,X124)
        & subactivity_occurrence(X123,X125)
        & subactivity_occurrence(X122,X125) )
     => X122 = X123 ),
    input ).

fof(sos_39_0,plain,
    ! [X121,X122,X123,X124,X125] :
      ( X122 = X123
      | ~ ( next_subocc(X121,X122,X124)
          & next_subocc(X121,X123,X124)
          & occurrence_of(X125,X124)
          & subactivity_occurrence(X123,X125)
          & subactivity_occurrence(X122,X125) ) ),
    inference(orientation,[status(thm)],[sos_39]) ).

fof(sos_36,axiom,
    ! [X109,X110,X111,X112] :
      ( ( occurrence_of(X111,X112)
        & ~ atomic(X112)
        & leaf_occ(X109,X111)
        & leaf_occ(X110,X111) )
     => X109 = X110 ),
    input ).

fof(sos_36_0,plain,
    ! [X109,X110,X111,X112] :
      ( X109 = X110
      | ~ ( occurrence_of(X111,X112)
          & ~ atomic(X112)
          & leaf_occ(X109,X111)
          & leaf_occ(X110,X111) ) ),
    inference(orientation,[status(thm)],[sos_36]) ).

fof(sos_35,axiom,
    ! [X105,X106,X107,X108] :
      ( ( occurrence_of(X107,X108)
        & root_occ(X105,X107)
        & root_occ(X106,X107) )
     => X105 = X106 ),
    input ).

fof(sos_35_0,plain,
    ! [X105,X106,X107,X108] :
      ( X105 = X106
      | ~ ( occurrence_of(X107,X108)
          & root_occ(X105,X107)
          & root_occ(X106,X107) ) ),
    inference(orientation,[status(thm)],[sos_35]) ).

fof(sos_34,axiom,
    ! [X102,X103] :
      ( leaf_occ(X102,X103)
    <=> ? [X104] :
          ( occurrence_of(X103,X104)
          & subactivity_occurrence(X102,X103)
          & leaf(X102,X104) ) ),
    input ).

fof(sos_34_0,plain,
    ! [X102,X103] :
      ( leaf_occ(X102,X103)
      | ~ ? [X104] :
            ( occurrence_of(X103,X104)
            & subactivity_occurrence(X102,X103)
            & leaf(X102,X104) ) ),
    inference(orientation,[status(thm)],[sos_34]) ).

fof(sos_34_1,plain,
    ! [X102,X103] :
      ( ~ leaf_occ(X102,X103)
      | ? [X104] :
          ( occurrence_of(X103,X104)
          & subactivity_occurrence(X102,X103)
          & leaf(X102,X104) ) ),
    inference(orientation,[status(thm)],[sos_34]) ).

fof(sos_33,axiom,
    ! [X99,X100] :
      ( root_occ(X99,X100)
    <=> ? [X101] :
          ( occurrence_of(X100,X101)
          & subactivity_occurrence(X99,X100)
          & root(X99,X101) ) ),
    input ).

fof(sos_33_0,plain,
    ! [X100,X99] :
      ( root_occ(X99,X100)
      | ~ ? [X101] :
            ( occurrence_of(X100,X101)
            & subactivity_occurrence(X99,X100)
            & root(X99,X101) ) ),
    inference(orientation,[status(thm)],[sos_33]) ).

fof(sos_33_1,plain,
    ! [X100,X99] :
      ( ~ root_occ(X99,X100)
      | ? [X101] :
          ( occurrence_of(X100,X101)
          & subactivity_occurrence(X99,X100)
          & root(X99,X101) ) ),
    inference(orientation,[status(thm)],[sos_33]) ).

fof(sos_31,axiom,
    ! [X91,X92,X93] :
      ( ( subactivity_occurrence(X91,X92)
        & subactivity_occurrence(X92,X93) )
     => subactivity_occurrence(X91,X93) ),
    input ).

fof(sos_31_0,plain,
    ! [X91,X92,X93] :
      ( subactivity_occurrence(X91,X93)
      | ~ ( subactivity_occurrence(X91,X92)
          & subactivity_occurrence(X92,X93) ) ),
    inference(orientation,[status(thm)],[sos_31]) ).

fof(sos_30,axiom,
    ! [X87,X88,X89,X90] :
      ( ( occurrence_of(X89,X87)
        & occurrence_of(X90,X88)
        & ~ atomic(X87)
        & subactivity_occurrence(X89,X90) )
     => subactivity(X87,X88) ),
    input ).

fof(sos_30_0,plain,
    ! [X87,X88,X89,X90] :
      ( subactivity(X87,X88)
      | ~ ( occurrence_of(X89,X87)
          & occurrence_of(X90,X88)
          & ~ atomic(X87)
          & subactivity_occurrence(X89,X90) ) ),
    inference(orientation,[status(thm)],[sos_30]) ).

fof(sos_29,axiom,
    ! [X83,X84,X85,X86] :
      ( ( min_precedes(X83,X84,X85)
        & occurrence_of(X86,X85)
        & subactivity_occurrence(X84,X86) )
     => subactivity_occurrence(X83,X86) ),
    input ).

fof(sos_29_0,plain,
    ! [X83,X84,X85,X86] :
      ( subactivity_occurrence(X83,X86)
      | ~ ( min_precedes(X83,X84,X85)
          & occurrence_of(X86,X85)
          & subactivity_occurrence(X84,X86) ) ),
    inference(orientation,[status(thm)],[sos_29]) ).

fof(sos_25,axiom,
    ! [X69,X70,X71] :
      ( min_precedes(X70,X71,X69)
     => ? [X72] :
          ( occurrence_of(X72,X69)
          & subactivity_occurrence(X70,X72)
          & subactivity_occurrence(X71,X72) ) ),
    input ).

fof(sos_25_0,plain,
    ! [X69,X70,X71] :
      ( ~ min_precedes(X70,X71,X69)
      | ? [X72] :
          ( occurrence_of(X72,X69)
          & subactivity_occurrence(X70,X72)
          & subactivity_occurrence(X71,X72) ) ),
    inference(orientation,[status(thm)],[sos_25]) ).

fof(sos_24,axiom,
    ! [X67,X68] :
      ( subactivity_occurrence(X67,X68)
     => ( activity_occurrence(X67)
        & activity_occurrence(X68) ) ),
    input ).

fof(sos_24_0,plain,
    ! [X67,X68] :
      ( ~ subactivity_occurrence(X67,X68)
      | ( activity_occurrence(X67)
        & activity_occurrence(X68) ) ),
    inference(orientation,[status(thm)],[sos_24]) ).

fof(sos_23,axiom,
    ! [X64,X65] :
      ( atocc(X64,X65)
    <=> ? [X66] :
          ( subactivity(X65,X66)
          & atomic(X66)
          & occurrence_of(X64,X66) ) ),
    input ).

fof(sos_23_0,plain,
    ! [X64,X65] :
      ( atocc(X64,X65)
      | ~ ? [X66] :
            ( subactivity(X65,X66)
            & atomic(X66)
            & occurrence_of(X64,X66) ) ),
    inference(orientation,[status(thm)],[sos_23]) ).

fof(sos_23_1,plain,
    ! [X64,X65] :
      ( ~ atocc(X64,X65)
      | ? [X66] :
          ( subactivity(X65,X66)
          & atomic(X66)
          & occurrence_of(X64,X66) ) ),
    inference(orientation,[status(thm)],[sos_23]) ).

fof(sos_22,axiom,
    ! [X60,X61,X62] :
      ( next_subocc(X60,X61,X62)
    <=> ( min_precedes(X60,X61,X62)
        & ~ ? [X63] :
              ( min_precedes(X60,X63,X62)
              & min_precedes(X63,X61,X62) ) ) ),
    input ).

fof(sos_22_0,plain,
    ! [X60,X61,X62] :
      ( next_subocc(X60,X61,X62)
      | ~ ( min_precedes(X60,X61,X62)
          & ~ ? [X63] :
                ( min_precedes(X60,X63,X62)
                & min_precedes(X63,X61,X62) ) ) ),
    inference(orientation,[status(thm)],[sos_22]) ).

fof(sos_22_1,plain,
    ! [X60,X61,X62] :
      ( ~ next_subocc(X60,X61,X62)
      | ( min_precedes(X60,X61,X62)
        & ~ ? [X63] :
              ( min_precedes(X60,X63,X62)
              & min_precedes(X63,X61,X62) ) ) ),
    inference(orientation,[status(thm)],[sos_22]) ).

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

fof(sos_21_0,plain,
    ! [X56,X57] :
      ( leaf(X56,X57)
      | ~ ( ( root(X56,X57)
            | ? [X58] : min_precedes(X58,X56,X57) )
          & ~ ? [X59] : min_precedes(X56,X59,X57) ) ),
    inference(orientation,[status(thm)],[sos_21]) ).

fof(sos_21_1,plain,
    ! [X56,X57] :
      ( ~ leaf(X56,X57)
      | ( ( root(X56,X57)
          | ? [X58] : min_precedes(X58,X56,X57) )
        & ~ ? [X59] : min_precedes(X56,X59,X57) ) ),
    inference(orientation,[status(thm)],[sos_21]) ).

fof(sos_20,axiom,
    ! [X52,X53,X54,X55] :
      ( ( min_precedes(X53,X52,X55)
        & min_precedes(X54,X52,X55)
        & precedes(X53,X54) )
     => min_precedes(X53,X54,X55) ),
    input ).

fof(sos_20_0,plain,
    ! [X52,X53,X54,X55] :
      ( min_precedes(X53,X54,X55)
      | ~ ( min_precedes(X53,X52,X55)
          & min_precedes(X54,X52,X55)
          & precedes(X53,X54) ) ),
    inference(orientation,[status(thm)],[sos_20]) ).

fof(sos_19,axiom,
    ! [X49,X50,X51] :
      ( min_precedes(X49,X50,X51)
     => ~ atomic(X51) ),
    input ).

fof(sos_19_0,plain,
    ! [X49,X50,X51] :
      ( ~ min_precedes(X49,X50,X51)
      | ~ atomic(X51) ),
    inference(orientation,[status(thm)],[sos_19]) ).

fof(sos_18,axiom,
    ! [X45,X46,X47,X48] :
      ( ( min_precedes(X45,X46,X48)
        & min_precedes(X45,X47,X48)
        & precedes(X46,X47) )
     => min_precedes(X46,X47,X48) ),
    input ).

fof(sos_18_0,plain,
    ! [X45,X46,X47,X48] :
      ( min_precedes(X46,X47,X48)
      | ~ ( min_precedes(X45,X46,X48)
          & min_precedes(X45,X47,X48)
          & precedes(X46,X47) ) ),
    inference(orientation,[status(thm)],[sos_18]) ).

fof(sos_17,axiom,
    ! [X43,X44] :
      ( ( atocc(X43,X44)
        & legal(X43) )
     => root(X43,X44) ),
    input ).

fof(sos_17_0,plain,
    ! [X43,X44] :
      ( root(X43,X44)
      | ~ ( atocc(X43,X44)
          & legal(X43) ) ),
    inference(orientation,[status(thm)],[sos_17]) ).

fof(sos_16,axiom,
    ! [X41,X42] :
      ( root(X41,X42)
     => legal(X41) ),
    input ).

fof(sos_16_0,plain,
    ! [X41,X42] :
      ( ~ root(X41,X42)
      | legal(X41) ),
    inference(orientation,[status(thm)],[sos_16]) ).

fof(sos_15,axiom,
    ! [X38,X39,X40] :
      ( min_precedes(X38,X39,X40)
     => precedes(X38,X39) ),
    input ).

fof(sos_15_0,plain,
    ! [X38,X39,X40] :
      ( ~ min_precedes(X38,X39,X40)
      | precedes(X38,X39) ),
    inference(orientation,[status(thm)],[sos_15]) ).

fof(sos_14,axiom,
    ! [X35,X36,X37] :
      ( min_precedes(X35,X36,X37)
     => ~ root(X36,X37) ),
    input ).

fof(sos_14_0,plain,
    ! [X35,X36,X37] :
      ( ~ min_precedes(X35,X36,X37)
      | ~ root(X36,X37) ),
    inference(orientation,[status(thm)],[sos_14]) ).

fof(sos_13,axiom,
    ! [X31,X32,X33] :
      ( min_precedes(X31,X32,X33)
     => ? [X34] :
          ( root(X34,X33)
          & min_precedes(X34,X32,X33) ) ),
    input ).

fof(sos_13_0,plain,
    ! [X31,X32,X33] :
      ( ~ min_precedes(X31,X32,X33)
      | ? [X34] :
          ( root(X34,X33)
          & min_precedes(X34,X32,X33) ) ),
    inference(orientation,[status(thm)],[sos_13]) ).

fof(sos_12,axiom,
    ! [X28,X29] :
      ( root(X29,X28)
     => ? [X30] :
          ( subactivity(X30,X28)
          & atocc(X29,X30) ) ),
    input ).

fof(sos_12_0,plain,
    ! [X28,X29] :
      ( ~ root(X29,X28)
      | ? [X30] :
          ( subactivity(X30,X28)
          & atocc(X29,X30) ) ),
    inference(orientation,[status(thm)],[sos_12]) ).

fof(sos_11,axiom,
    ! [X23,X24,X25] :
      ( min_precedes(X24,X25,X23)
     => ? [X26,X27] :
          ( subactivity(X26,X23)
          & subactivity(X27,X23)
          & atocc(X24,X26)
          & atocc(X25,X27) ) ),
    input ).

fof(sos_11_0,plain,
    ! [X23,X24,X25] :
      ( ~ min_precedes(X24,X25,X23)
      | ? [X26,X27] :
          ( subactivity(X26,X23)
          & subactivity(X27,X23)
          & atocc(X24,X26)
          & atocc(X25,X27) ) ),
    inference(orientation,[status(thm)],[sos_11]) ).

fof(sos_10,axiom,
    ! [X21,X22] :
      ( precedes(X21,X22)
    <=> ( earlier(X21,X22)
        & legal(X22) ) ),
    input ).

fof(sos_10_0,plain,
    ! [X21,X22] :
      ( precedes(X21,X22)
      | ~ ( earlier(X21,X22)
          & legal(X22) ) ),
    inference(orientation,[status(thm)],[sos_10]) ).

fof(sos_10_1,plain,
    ! [X21,X22] :
      ( ~ precedes(X21,X22)
      | ( earlier(X21,X22)
        & legal(X22) ) ),
    inference(orientation,[status(thm)],[sos_10]) ).

fof(sos_09,axiom,
    ! [X19,X20] :
      ( ( legal(X19)
        & earlier(X20,X19) )
     => legal(X20) ),
    input ).

fof(sos_09_0,plain,
    ! [X19,X20] :
      ( legal(X20)
      | ~ ( legal(X19)
          & earlier(X20,X19) ) ),
    inference(orientation,[status(thm)],[sos_09]) ).

fof(sos_08,axiom,
    ! [X18] :
      ( legal(X18)
     => arboreal(X18) ),
    input ).

fof(sos_08_0,plain,
    ! [X18] :
      ( ~ legal(X18)
      | arboreal(X18) ),
    inference(orientation,[status(thm)],[sos_08]) ).

fof(sos_07,axiom,
    ! [X16,X17] :
      ( occurrence_of(X16,X17)
     => ( arboreal(X16)
      <=> atomic(X17) ) ),
    input ).

fof(sos_07_0,plain,
    ! [X16,X17] :
      ( ~ occurrence_of(X16,X17)
      | ( arboreal(X16)
      <=> atomic(X17) ) ),
    inference(orientation,[status(thm)],[sos_07]) ).

fof(sos_05,axiom,
    ! [X10,X11,X12] :
      ( ( earlier(X10,X11)
        & earlier(X11,X12) )
     => earlier(X10,X12) ),
    input ).

fof(sos_05_0,plain,
    ! [X10,X11,X12] :
      ( earlier(X10,X12)
      | ~ ( earlier(X10,X11)
          & earlier(X11,X12) ) ),
    inference(orientation,[status(thm)],[sos_05]) ).

fof(sos_04,axiom,
    ! [X8,X9] :
      ( earlier(X8,X9)
     => ~ earlier(X9,X8) ),
    input ).

fof(sos_04_0,plain,
    ! [X8,X9] :
      ( ~ earlier(X8,X9)
      | ~ earlier(X9,X8) ),
    inference(orientation,[status(thm)],[sos_04]) ).

fof(sos_03,axiom,
    ! [X7] :
      ( activity(X7)
     => subactivity(X7,X7) ),
    input ).

fof(sos_03_0,plain,
    ! [X7] :
      ( ~ activity(X7)
      | subactivity(X7,X7) ),
    inference(orientation,[status(thm)],[sos_03]) ).

fof(sos_02,axiom,
    ! [X4,X5,X6] :
      ( ( occurrence_of(X4,X5)
        & occurrence_of(X4,X6) )
     => X5 = X6 ),
    input ).

fof(sos_02_0,plain,
    ! [X4,X5,X6] :
      ( X5 = X6
      | ~ ( occurrence_of(X4,X5)
          & occurrence_of(X4,X6) ) ),
    inference(orientation,[status(thm)],[sos_02]) ).

fof(sos_01,axiom,
    ! [X2] :
      ( activity_occurrence(X2)
     => ? [X3] :
          ( activity(X3)
          & occurrence_of(X2,X3) ) ),
    input ).

fof(sos_01_0,plain,
    ! [X2] :
      ( ~ activity_occurrence(X2)
      | ? [X3] :
          ( activity(X3)
          & occurrence_of(X2,X3) ) ),
    inference(orientation,[status(thm)],[sos_01]) ).

fof(sos,axiom,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => ( activity(X0)
        & activity_occurrence(X1) ) ),
    input ).

fof(sos_0,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ( activity(X0)
        & activity_occurrence(X1) ) ),
    inference(orientation,[status(thm)],[sos]) ).

fof(def_lhs_atom1,axiom,
    ! [X1,X0] :
      ( lhs_atom1(X1,X0)
    <=> ~ occurrence_of(X1,X0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_0,plain,
    ! [X0,X1] :
      ( lhs_atom1(X1,X0)
      | ( activity(X0)
        & activity_occurrence(X1) ) ),
    inference(fold_definition,[status(thm)],[sos_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [X2] :
      ( lhs_atom2(X2)
    <=> ~ activity_occurrence(X2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_1,plain,
    ! [X2] :
      ( lhs_atom2(X2)
      | ? [X3] :
          ( activity(X3)
          & occurrence_of(X2,X3) ) ),
    inference(fold_definition,[status(thm)],[sos_01_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [X6,X5] :
      ( lhs_atom3(X6,X5)
    <=> X5 = X6 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_2,plain,
    ! [X4,X5,X6] :
      ( lhs_atom3(X6,X5)
      | ~ ( occurrence_of(X4,X5)
          & occurrence_of(X4,X6) ) ),
    inference(fold_definition,[status(thm)],[sos_02_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [X7] :
      ( lhs_atom4(X7)
    <=> ~ activity(X7) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_3,plain,
    ! [X7] :
      ( lhs_atom4(X7)
      | subactivity(X7,X7) ),
    inference(fold_definition,[status(thm)],[sos_03_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [X9,X8] :
      ( lhs_atom5(X9,X8)
    <=> ~ earlier(X8,X9) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_4,plain,
    ! [X8,X9] :
      ( lhs_atom5(X9,X8)
      | ~ earlier(X9,X8) ),
    inference(fold_definition,[status(thm)],[sos_04_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [X12,X10] :
      ( lhs_atom6(X12,X10)
    <=> earlier(X10,X12) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_5,plain,
    ! [X10,X11,X12] :
      ( lhs_atom6(X12,X10)
      | ~ ( earlier(X10,X11)
          & earlier(X11,X12) ) ),
    inference(fold_definition,[status(thm)],[sos_05_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [X17,X16] :
      ( lhs_atom7(X17,X16)
    <=> ~ occurrence_of(X16,X17) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_6,plain,
    ! [X16,X17] :
      ( lhs_atom7(X17,X16)
      | ( arboreal(X16)
      <=> atomic(X17) ) ),
    inference(fold_definition,[status(thm)],[sos_07_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [X18] :
      ( lhs_atom8(X18)
    <=> ~ legal(X18) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_7,plain,
    ! [X18] :
      ( lhs_atom8(X18)
      | arboreal(X18) ),
    inference(fold_definition,[status(thm)],[sos_08_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [X20] :
      ( lhs_atom9(X20)
    <=> legal(X20) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_8,plain,
    ! [X19,X20] :
      ( lhs_atom9(X20)
      | ~ ( legal(X19)
          & earlier(X20,X19) ) ),
    inference(fold_definition,[status(thm)],[sos_09_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [X22,X21] :
      ( lhs_atom10(X22,X21)
    <=> ~ precedes(X21,X22) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_9,plain,
    ! [X21,X22] :
      ( lhs_atom10(X22,X21)
      | ( earlier(X21,X22)
        & legal(X22) ) ),
    inference(fold_definition,[status(thm)],[sos_10_1,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [X22,X21] :
      ( lhs_atom11(X22,X21)
    <=> precedes(X21,X22) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_10,plain,
    ! [X21,X22] :
      ( lhs_atom11(X22,X21)
      | ~ ( earlier(X21,X22)
          & legal(X22) ) ),
    inference(fold_definition,[status(thm)],[sos_10_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [X25,X24,X23] :
      ( lhs_atom12(X25,X24,X23)
    <=> ~ min_precedes(X24,X25,X23) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_11,plain,
    ! [X23,X24,X25] :
      ( lhs_atom12(X25,X24,X23)
      | ? [X26,X27] :
          ( subactivity(X26,X23)
          & subactivity(X27,X23)
          & atocc(X24,X26)
          & atocc(X25,X27) ) ),
    inference(fold_definition,[status(thm)],[sos_11_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [X29,X28] :
      ( lhs_atom13(X29,X28)
    <=> ~ root(X29,X28) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_12,plain,
    ! [X28,X29] :
      ( lhs_atom13(X29,X28)
      | ? [X30] :
          ( subactivity(X30,X28)
          & atocc(X29,X30) ) ),
    inference(fold_definition,[status(thm)],[sos_12_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [X33,X32,X31] :
      ( lhs_atom14(X33,X32,X31)
    <=> ~ min_precedes(X31,X32,X33) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_13,plain,
    ! [X31,X32,X33] :
      ( lhs_atom14(X33,X32,X31)
      | ? [X34] :
          ( root(X34,X33)
          & min_precedes(X34,X32,X33) ) ),
    inference(fold_definition,[status(thm)],[sos_13_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [X37,X36,X35] :
      ( lhs_atom15(X37,X36,X35)
    <=> ~ min_precedes(X35,X36,X37) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_14,plain,
    ! [X35,X36,X37] :
      ( lhs_atom15(X37,X36,X35)
      | ~ root(X36,X37) ),
    inference(fold_definition,[status(thm)],[sos_14_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [X40,X39,X38] :
      ( lhs_atom16(X40,X39,X38)
    <=> ~ min_precedes(X38,X39,X40) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_15,plain,
    ! [X38,X39,X40] :
      ( lhs_atom16(X40,X39,X38)
      | precedes(X38,X39) ),
    inference(fold_definition,[status(thm)],[sos_15_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [X42,X41] :
      ( lhs_atom17(X42,X41)
    <=> ~ root(X41,X42) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_16,plain,
    ! [X41,X42] :
      ( lhs_atom17(X42,X41)
      | legal(X41) ),
    inference(fold_definition,[status(thm)],[sos_16_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [X44,X43] :
      ( lhs_atom18(X44,X43)
    <=> root(X43,X44) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_17,plain,
    ! [X43,X44] :
      ( lhs_atom18(X44,X43)
      | ~ ( atocc(X43,X44)
          & legal(X43) ) ),
    inference(fold_definition,[status(thm)],[sos_17_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [X48,X47,X46] :
      ( lhs_atom19(X48,X47,X46)
    <=> min_precedes(X46,X47,X48) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_18,plain,
    ! [X45,X46,X47,X48] :
      ( lhs_atom19(X48,X47,X46)
      | ~ ( min_precedes(X45,X46,X48)
          & min_precedes(X45,X47,X48)
          & precedes(X46,X47) ) ),
    inference(fold_definition,[status(thm)],[sos_18_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [X51,X50,X49] :
      ( lhs_atom20(X51,X50,X49)
    <=> ~ min_precedes(X49,X50,X51) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_19,plain,
    ! [X49,X50,X51] :
      ( lhs_atom20(X51,X50,X49)
      | ~ atomic(X51) ),
    inference(fold_definition,[status(thm)],[sos_19_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [X55,X54,X53] :
      ( lhs_atom21(X55,X54,X53)
    <=> min_precedes(X53,X54,X55) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_20,plain,
    ! [X52,X53,X54,X55] :
      ( lhs_atom21(X55,X54,X53)
      | ~ ( min_precedes(X53,X52,X55)
          & min_precedes(X54,X52,X55)
          & precedes(X53,X54) ) ),
    inference(fold_definition,[status(thm)],[sos_20_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [X57,X56] :
      ( lhs_atom22(X57,X56)
    <=> ~ leaf(X56,X57) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_21,plain,
    ! [X56,X57] :
      ( lhs_atom22(X57,X56)
      | ( ( root(X56,X57)
          | ? [X58] : min_precedes(X58,X56,X57) )
        & ~ ? [X59] : min_precedes(X56,X59,X57) ) ),
    inference(fold_definition,[status(thm)],[sos_21_1,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [X57,X56] :
      ( lhs_atom23(X57,X56)
    <=> leaf(X56,X57) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_22,plain,
    ! [X56,X57] :
      ( lhs_atom23(X57,X56)
      | ~ ( ( root(X56,X57)
            | ? [X58] : min_precedes(X58,X56,X57) )
          & ~ ? [X59] : min_precedes(X56,X59,X57) ) ),
    inference(fold_definition,[status(thm)],[sos_21_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [X62,X61,X60] :
      ( lhs_atom24(X62,X61,X60)
    <=> ~ next_subocc(X60,X61,X62) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_23,plain,
    ! [X60,X61,X62] :
      ( lhs_atom24(X62,X61,X60)
      | ( min_precedes(X60,X61,X62)
        & ~ ? [X63] :
              ( min_precedes(X60,X63,X62)
              & min_precedes(X63,X61,X62) ) ) ),
    inference(fold_definition,[status(thm)],[sos_22_1,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [X62,X61,X60] :
      ( lhs_atom25(X62,X61,X60)
    <=> next_subocc(X60,X61,X62) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_24,plain,
    ! [X60,X61,X62] :
      ( lhs_atom25(X62,X61,X60)
      | ~ ( min_precedes(X60,X61,X62)
          & ~ ? [X63] :
                ( min_precedes(X60,X63,X62)
                & min_precedes(X63,X61,X62) ) ) ),
    inference(fold_definition,[status(thm)],[sos_22_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [X65,X64] :
      ( lhs_atom26(X65,X64)
    <=> ~ atocc(X64,X65) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_25,plain,
    ! [X64,X65] :
      ( lhs_atom26(X65,X64)
      | ? [X66] :
          ( subactivity(X65,X66)
          & atomic(X66)
          & occurrence_of(X64,X66) ) ),
    inference(fold_definition,[status(thm)],[sos_23_1,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [X65,X64] :
      ( lhs_atom27(X65,X64)
    <=> atocc(X64,X65) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_26,plain,
    ! [X64,X65] :
      ( lhs_atom27(X65,X64)
      | ~ ? [X66] :
            ( subactivity(X65,X66)
            & atomic(X66)
            & occurrence_of(X64,X66) ) ),
    inference(fold_definition,[status(thm)],[sos_23_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [X68,X67] :
      ( lhs_atom28(X68,X67)
    <=> ~ subactivity_occurrence(X67,X68) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_27,plain,
    ! [X67,X68] :
      ( lhs_atom28(X68,X67)
      | ( activity_occurrence(X67)
        & activity_occurrence(X68) ) ),
    inference(fold_definition,[status(thm)],[sos_24_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [X71,X70,X69] :
      ( lhs_atom29(X71,X70,X69)
    <=> ~ min_precedes(X70,X71,X69) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_28,plain,
    ! [X69,X70,X71] :
      ( lhs_atom29(X71,X70,X69)
      | ? [X72] :
          ( occurrence_of(X72,X69)
          & subactivity_occurrence(X70,X72)
          & subactivity_occurrence(X71,X72) ) ),
    inference(fold_definition,[status(thm)],[sos_25_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [X86,X83] :
      ( lhs_atom30(X86,X83)
    <=> subactivity_occurrence(X83,X86) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_29,plain,
    ! [X83,X84,X85,X86] :
      ( lhs_atom30(X86,X83)
      | ~ ( min_precedes(X83,X84,X85)
          & occurrence_of(X86,X85)
          & subactivity_occurrence(X84,X86) ) ),
    inference(fold_definition,[status(thm)],[sos_29_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [X88,X87] :
      ( lhs_atom31(X88,X87)
    <=> subactivity(X87,X88) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_30,plain,
    ! [X87,X88,X89,X90] :
      ( lhs_atom31(X88,X87)
      | ~ ( occurrence_of(X89,X87)
          & occurrence_of(X90,X88)
          & ~ atomic(X87)
          & subactivity_occurrence(X89,X90) ) ),
    inference(fold_definition,[status(thm)],[sos_30_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [X93,X91] :
      ( lhs_atom32(X93,X91)
    <=> subactivity_occurrence(X91,X93) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_31,plain,
    ! [X91,X92,X93] :
      ( lhs_atom32(X93,X91)
      | ~ ( subactivity_occurrence(X91,X92)
          & subactivity_occurrence(X92,X93) ) ),
    inference(fold_definition,[status(thm)],[sos_31_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [X99,X100] :
      ( lhs_atom33(X99,X100)
    <=> ~ root_occ(X99,X100) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_32,plain,
    ! [X100,X99] :
      ( lhs_atom33(X99,X100)
      | ? [X101] :
          ( occurrence_of(X100,X101)
          & subactivity_occurrence(X99,X100)
          & root(X99,X101) ) ),
    inference(fold_definition,[status(thm)],[sos_33_1,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [X99,X100] :
      ( lhs_atom34(X99,X100)
    <=> root_occ(X99,X100) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_33,plain,
    ! [X100,X99] :
      ( lhs_atom34(X99,X100)
      | ~ ? [X101] :
            ( occurrence_of(X100,X101)
            & subactivity_occurrence(X99,X100)
            & root(X99,X101) ) ),
    inference(fold_definition,[status(thm)],[sos_33_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [X103,X102] :
      ( lhs_atom35(X103,X102)
    <=> ~ leaf_occ(X102,X103) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_34,plain,
    ! [X102,X103] :
      ( lhs_atom35(X103,X102)
      | ? [X104] :
          ( occurrence_of(X103,X104)
          & subactivity_occurrence(X102,X103)
          & leaf(X102,X104) ) ),
    inference(fold_definition,[status(thm)],[sos_34_1,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [X103,X102] :
      ( lhs_atom36(X103,X102)
    <=> leaf_occ(X102,X103) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_35,plain,
    ! [X102,X103] :
      ( lhs_atom36(X103,X102)
      | ~ ? [X104] :
            ( occurrence_of(X103,X104)
            & subactivity_occurrence(X102,X103)
            & leaf(X102,X104) ) ),
    inference(fold_definition,[status(thm)],[sos_34_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [X106,X105] :
      ( lhs_atom37(X106,X105)
    <=> X105 = X106 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_36,plain,
    ! [X105,X106,X107,X108] :
      ( lhs_atom37(X106,X105)
      | ~ ( occurrence_of(X107,X108)
          & root_occ(X105,X107)
          & root_occ(X106,X107) ) ),
    inference(fold_definition,[status(thm)],[sos_35_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [X110,X109] :
      ( lhs_atom38(X110,X109)
    <=> X109 = X110 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_37,plain,
    ! [X109,X110,X111,X112] :
      ( lhs_atom38(X110,X109)
      | ~ ( occurrence_of(X111,X112)
          & ~ atomic(X112)
          & leaf_occ(X109,X111)
          & leaf_occ(X110,X111) ) ),
    inference(fold_definition,[status(thm)],[sos_36_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [X123,X122] :
      ( lhs_atom39(X123,X122)
    <=> X122 = X123 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_38,plain,
    ! [X121,X122,X123,X124,X125] :
      ( lhs_atom39(X123,X122)
      | ~ ( next_subocc(X121,X122,X124)
          & next_subocc(X121,X123,X124)
          & occurrence_of(X125,X124)
          & subactivity_occurrence(X123,X125)
          & subactivity_occurrence(X122,X125) ) ),
    inference(fold_definition,[status(thm)],[sos_39_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [X128,X127] :
      ( lhs_atom40(X128,X127)
    <=> X127 = X128 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_39,plain,
    ! [X126,X127,X128,X129] :
      ( lhs_atom40(X128,X127)
      | ~ ( next_subocc(X127,X126,X129)
          & next_subocc(X128,X126,X129) ) ),
    inference(fold_definition,[status(thm)],[sos_40_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [X133,X132,X131] :
      ( lhs_atom41(X133,X132,X131)
    <=> min_precedes(X132,X131,X133) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_40,plain,
    ! [X130,X131,X132,X133] :
      ( lhs_atom41(X133,X132,X131)
      | ~ ( occurrence_of(X130,X133)
          & leaf_occ(X131,X130)
          & root_occ(X132,X130)
          & X131 != X132 ) ),
    inference(fold_definition,[status(thm)],[sos_41_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [X137,X136] :
      ( lhs_atom42(X137,X136)
    <=> X137 = X136 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_41,plain,
    ! [X134,X135,X136,X137] :
      ( lhs_atom42(X137,X136)
      | ~ ( occurrence_of(X135,X134)
          & subactivity_occurrence(X136,X135)
          & root_occ(X137,X135)
          & arboreal(X136)
          & ~ min_precedes(X137,X136,X134) ) ),
    inference(fold_definition,[status(thm)],[sos_42_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [X141,X140] :
      ( lhs_atom43(X141,X140)
    <=> X141 = X140 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_42,plain,
    ! [X138,X139,X140,X141] :
      ( lhs_atom43(X141,X140)
      | ~ ( occurrence_of(X139,X138)
          & subactivity_occurrence(X140,X139)
          & leaf_occ(X141,X139)
          & arboreal(X140)
          & ~ min_precedes(X140,X141,X138) ) ),
    inference(fold_definition,[status(thm)],[sos_43_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [X144,X143,X142] :
      ( lhs_atom44(X144,X143,X142)
    <=> ~ next_subocc(X142,X143,X144) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_43,plain,
    ! [X142,X143,X144] :
      ( lhs_atom44(X144,X143,X142)
      | ( arboreal(X142)
        & arboreal(X143) ) ),
    inference(fold_definition,[status(thm)],[sos_44_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [X150,X149,X148] :
      ( lhs_atom45(X150,X149,X148)
    <=> ~ min_precedes(X148,X149,X150) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_44,plain,
    ! [X148,X149,X150] :
      ( lhs_atom45(X150,X149,X148)
      | arboreal(X148) ),
    inference(fold_definition,[status(thm)],[sos_46_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [X154,X153,X151] :
      ( lhs_atom46(X154,X153,X151)
    <=> min_precedes(X154,X153,X151) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_45,plain,
    ! [X151,X152,X153,X154,X155] :
      ( lhs_atom46(X154,X153,X151)
      | ~ ( occurrence_of(X152,X151)
          & root_occ(X154,X152)
          & leaf_occ(X155,X152)
          & subactivity_occurrence(X153,X152)
          & min_precedes(X153,X155,X151)
          & X153 != X154 ) ),
    inference(fold_definition,[status(thm)],[sos_47_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [X160,X158,X156] :
      ( lhs_atom47(X160,X158,X156)
    <=> min_precedes(X158,X160,X156) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_46,plain,
    ! [X156,X157,X158,X159,X160] :
      ( lhs_atom47(X160,X158,X156)
      | ~ ( occurrence_of(X157,X156)
          & root_occ(X159,X157)
          & leaf_occ(X160,X157)
          & subactivity_occurrence(X158,X157)
          & min_precedes(X159,X158,X156)
          & X158 != X160 ) ),
    inference(fold_definition,[status(thm)],[sos_48_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [X161] :
      ( lhs_atom48(X161)
    <=> ~ occurrence_of(X161,tptp0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_47,plain,
    ! [X161] :
      ( lhs_atom48(X161)
      | ? [X162,X163,X164] :
          ( occurrence_of(X162,tptp3)
          & root_occ(X162,X161)
          & occurrence_of(X163,tptp4)
          & next_subocc(X162,X163,tptp0)
          & ( occurrence_of(X164,tptp1)
            | occurrence_of(X164,tptp2) )
          & next_subocc(X163,X164,tptp0)
          & leaf_occ(X164,X161) ) ),
    inference(fold_definition,[status(thm)],[sos_49_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ( lhs_atom49
  <=> activity(tptp0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_48,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[sos_50_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ( lhs_atom50
  <=> ~ atomic(tptp0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_49,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[sos_51_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ( lhs_atom51
  <=> atomic(tptp4) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_50,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[sos_52_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ( lhs_atom52
  <=> atomic(tptp1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_51,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[sos_53_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ( lhs_atom53
  <=> atomic(tptp2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_52,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[sos_54_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> atomic(tptp3) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[sos_55_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ( lhs_atom55
  <=> tptp4 != tptp3 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_54,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[sos_56_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ( lhs_atom56
  <=> tptp4 != tptp1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_55,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[sos_57_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ( lhs_atom57
  <=> tptp4 != tptp2 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_56,plain,
    ( lhs_atom57
    | $false ),
    inference(fold_definition,[status(thm)],[sos_58_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ( lhs_atom58
  <=> tptp3 != tptp1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_57,plain,
    ( lhs_atom58
    | $false ),
    inference(fold_definition,[status(thm)],[sos_59_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ( lhs_atom59
  <=> tptp3 != tptp2 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_58,plain,
    ( lhs_atom59
    | $false ),
    inference(fold_definition,[status(thm)],[sos_60_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ( lhs_atom60
  <=> tptp1 != tptp2 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_59,plain,
    ( lhs_atom60
    | $false ),
    inference(fold_definition,[status(thm)],[sos_61_0,def_lhs_atom60]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X58,X59,X60] :
      ( lhs_atom25(X58,X59,X60)
      | ~ ( min_precedes(X60,X59,X58)
          & ~ ? [X61] :
                ( min_precedes(X60,X61,X58)
                & min_precedes(X61,X59,X58) ) ) ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_1,axiom,
    ! [X96,X97,X98,X99,X100] :
      ( lhs_atom39(X98,X99)
      | ~ ( next_subocc(X100,X99,X97)
          & next_subocc(X100,X98,X97)
          & occurrence_of(X96,X97)
          & subactivity_occurrence(X98,X96)
          & subactivity_occurrence(X99,X96) ) ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_2,axiom,
    ! [X50,X51,X52,X53] :
      ( lhs_atom21(X50,X51,X52)
      | ~ ( min_precedes(X52,X53,X50)
          & min_precedes(X51,X53,X50)
          & precedes(X52,X51) ) ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_3,axiom,
    ! [X43,X44,X45,X46] :
      ( lhs_atom19(X43,X44,X45)
      | ~ ( min_precedes(X46,X45,X43)
          & min_precedes(X46,X44,X43)
          & precedes(X45,X44) ) ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_4,axiom,
    ! [X128,X129,X130,X131,X132] :
      ( lhs_atom47(X128,X130,X132)
      | ~ ( occurrence_of(X131,X132)
          & root_occ(X129,X131)
          & leaf_occ(X128,X131)
          & subactivity_occurrence(X130,X131)
          & min_precedes(X129,X130,X132)
          & X130 != X128 ) ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_5,axiom,
    ! [X123,X124,X125,X126,X127] :
      ( lhs_atom46(X124,X125,X127)
      | ~ ( occurrence_of(X126,X127)
          & root_occ(X124,X126)
          & leaf_occ(X123,X126)
          & subactivity_occurrence(X125,X126)
          & min_precedes(X125,X123,X127)
          & X125 != X124 ) ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_6,axiom,
    ! [X58,X59,X60] :
      ( lhs_atom24(X58,X59,X60)
      | ( min_precedes(X60,X59,X58)
        & ~ ? [X61] :
              ( min_precedes(X60,X61,X58)
              & min_precedes(X61,X59,X58) ) ) ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_7,axiom,
    ! [X101,X102,X103,X104] :
      ( lhs_atom40(X102,X103)
      | ~ ( next_subocc(X103,X104,X101)
          & next_subocc(X102,X104,X101) ) ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_8,axiom,
    ! [X54,X55] :
      ( lhs_atom23(X54,X55)
      | ~ ( ( root(X55,X54)
            | ? [X56] : min_precedes(X56,X55,X54) )
          & ~ ? [X57] : min_precedes(X55,X57,X54) ) ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_9,axiom,
    ! [X67,X68,X69] :
      ( lhs_atom29(X67,X68,X69)
      | ? [X70] :
          ( occurrence_of(X70,X69)
          & subactivity_occurrence(X68,X70)
          & subactivity_occurrence(X67,X70) ) ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_10,axiom,
    ! [X21,X22,X23] :
      ( lhs_atom12(X21,X22,X23)
      | ? [X24,X25] :
          ( subactivity(X24,X23)
          & subactivity(X25,X23)
          & atocc(X22,X24)
          & atocc(X21,X25) ) ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_11,axiom,
    ! [X71,X72,X73,X74] :
      ( lhs_atom30(X71,X74)
      | ~ ( min_precedes(X74,X73,X72)
          & occurrence_of(X71,X72)
          & subactivity_occurrence(X73,X71) ) ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_12,axiom,
    ! [X113,X114,X115,X116] :
      ( lhs_atom43(X113,X114)
      | ~ ( occurrence_of(X115,X116)
          & subactivity_occurrence(X114,X115)
          & leaf_occ(X113,X115)
          & arboreal(X114)
          & ~ min_precedes(X114,X113,X116) ) ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_13,axiom,
    ! [X109,X110,X111,X112] :
      ( lhs_atom42(X109,X110)
      | ~ ( occurrence_of(X111,X112)
          & subactivity_occurrence(X110,X111)
          & root_occ(X109,X111)
          & arboreal(X110)
          & ~ min_precedes(X109,X110,X112) ) ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_14,axiom,
    ! [X29,X30,X31] :
      ( lhs_atom14(X29,X30,X31)
      | ? [X32] :
          ( root(X32,X29)
          & min_precedes(X32,X30,X29) ) ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_15,axiom,
    ! [X105,X106,X107,X108] :
      ( lhs_atom41(X105,X106,X107)
      | ~ ( occurrence_of(X108,X105)
          & leaf_occ(X107,X108)
          & root_occ(X106,X108)
          & X107 != X106 ) ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_16,axiom,
    ! [X54,X55] :
      ( lhs_atom22(X54,X55)
      | ( ( root(X55,X54)
          | ? [X56] : min_precedes(X56,X55,X54) )
        & ~ ? [X57] : min_precedes(X55,X57,X54) ) ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_17,axiom,
    ! [X92,X93,X94,X95] :
      ( lhs_atom38(X94,X95)
      | ~ ( occurrence_of(X93,X92)
          & ~ atomic(X92)
          & leaf_occ(X95,X93)
          & leaf_occ(X94,X93) ) ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_18,axiom,
    ! [X75,X76,X77,X78] :
      ( lhs_atom31(X77,X78)
      | ~ ( occurrence_of(X76,X78)
          & occurrence_of(X75,X77)
          & ~ atomic(X78)
          & subactivity_occurrence(X76,X75) ) ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_19,axiom,
    ! [X88,X89,X90,X91] :
      ( lhs_atom37(X90,X91)
      | ~ ( occurrence_of(X89,X88)
          & root_occ(X91,X89)
          & root_occ(X90,X89) ) ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_20,axiom,
    ! [X85,X86] :
      ( lhs_atom36(X85,X86)
      | ~ ? [X87] :
            ( occurrence_of(X85,X87)
            & subactivity_occurrence(X86,X85)
            & leaf(X86,X87) ) ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_21,axiom,
    ! [X82,X83] :
      ( lhs_atom34(X82,X83)
      | ~ ? [X84] :
            ( occurrence_of(X83,X84)
            & subactivity_occurrence(X82,X83)
            & root(X82,X84) ) ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_22,axiom,
    ! [X33,X34,X35] :
      ( lhs_atom15(X33,X34,X35)
      | ~ root(X34,X33) ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_23,axiom,
    ! [X133] :
      ( lhs_atom48(X133)
      | ? [X134,X135,X136] :
          ( occurrence_of(X134,tptp3)
          & root_occ(X134,X133)
          & occurrence_of(X135,tptp4)
          & next_subocc(X134,X135,tptp0)
          & ( occurrence_of(X136,tptp1)
            | occurrence_of(X136,tptp2) )
          & next_subocc(X135,X136,tptp0)
          & leaf_occ(X136,X133) ) ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_24,axiom,
    ! [X36,X37,X38] :
      ( lhs_atom16(X36,X37,X38)
      | precedes(X38,X37) ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_25,axiom,
    ! [X62,X63] :
      ( lhs_atom27(X62,X63)
      | ~ ? [X64] :
            ( subactivity(X62,X64)
            & atomic(X64)
            & occurrence_of(X63,X64) ) ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_26,axiom,
    ! [X47,X48,X49] :
      ( lhs_atom20(X47,X48,X49)
      | ~ atomic(X47) ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_27,axiom,
    ! [X79,X80,X81] :
      ( lhs_atom32(X79,X81)
      | ~ ( subactivity_occurrence(X81,X80)
          & subactivity_occurrence(X80,X79) ) ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_28,axiom,
    ! [X11,X12,X13] :
      ( lhs_atom6(X11,X13)
      | ~ ( earlier(X13,X12)
          & earlier(X12,X11) ) ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_29,axiom,
    ! [X5,X6,X7] :
      ( lhs_atom3(X5,X6)
      | ~ ( occurrence_of(X7,X6)
          & occurrence_of(X7,X5) ) ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_30,axiom,
    ! [X120,X121,X122] :
      ( lhs_atom45(X120,X121,X122)
      | arboreal(X122) ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_31,axiom,
    ! [X117,X118,X119] :
      ( lhs_atom44(X117,X118,X119)
      | ( arboreal(X119)
        & arboreal(X118) ) ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_32,axiom,
    ! [X85,X86] :
      ( lhs_atom35(X85,X86)
      | ? [X87] :
          ( occurrence_of(X85,X87)
          & subactivity_occurrence(X86,X85)
          & leaf(X86,X87) ) ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_33,axiom,
    ! [X82,X83] :
      ( lhs_atom33(X82,X83)
      | ? [X84] :
          ( occurrence_of(X83,X84)
          & subactivity_occurrence(X82,X83)
          & root(X82,X84) ) ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_34,axiom,
    ! [X62,X63] :
      ( lhs_atom26(X62,X63)
      | ? [X64] :
          ( subactivity(X62,X64)
          & atomic(X64)
          & occurrence_of(X63,X64) ) ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_35,axiom,
    ! [X26,X27] :
      ( lhs_atom13(X26,X27)
      | ? [X28] :
          ( subactivity(X28,X27)
          & atocc(X26,X28) ) ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_36,axiom,
    ! [X41,X42] :
      ( lhs_atom18(X41,X42)
      | ~ ( atocc(X42,X41)
          & legal(X42) ) ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_37,axiom,
    ! [X19,X20] :
      ( lhs_atom11(X19,X20)
      | ~ ( earlier(X20,X19)
          & legal(X19) ) ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_38,axiom,
    ! [X9,X10] :
      ( lhs_atom5(X9,X10)
      | ~ earlier(X9,X10) ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_39,axiom,
    ! [X17,X18] :
      ( lhs_atom9(X17)
      | ~ ( legal(X18)
          & earlier(X17,X18) ) ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_40,axiom,
    ! [X19,X20] :
      ( lhs_atom10(X19,X20)
      | ( earlier(X20,X19)
        & legal(X19) ) ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_41,axiom,
    ! [X14,X15] :
      ( lhs_atom7(X14,X15)
      | ( arboreal(X15)
      <=> atomic(X14) ) ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_42,axiom,
    ! [X3] :
      ( lhs_atom2(X3)
      | ? [X4] :
          ( activity(X4)
          & occurrence_of(X3,X4) ) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_43,axiom,
    ! [X65,X66] :
      ( lhs_atom28(X65,X66)
      | ( activity_occurrence(X66)
        & activity_occurrence(X65) ) ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_44,axiom,
    ! [X39,X40] :
      ( lhs_atom17(X39,X40)
      | legal(X40) ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_45,axiom,
    ! [X8] :
      ( lhs_atom4(X8)
      | subactivity(X8,X8) ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_46,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ( activity(X2)
        & activity_occurrence(X1) ) ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_47,axiom,
    ! [X16] :
      ( lhs_atom8(X16)
      | arboreal(X16) ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_48,axiom,
    ( lhs_atom60
    | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_49,axiom,
    ( lhs_atom59
    | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_50,axiom,
    ( lhs_atom58
    | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_51,axiom,
    ( lhs_atom57
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_52,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_53,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_54,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_55,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_56,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_57,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_58,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_59,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_60,axiom,
    ! [X58,X59,X60] :
      ( lhs_atom25(X58,X59,X60)
      | ~ ( min_precedes(X60,X59,X58)
          & ~ ? [X61] :
                ( min_precedes(X60,X61,X58)
                & min_precedes(X61,X59,X58) ) ) ),
    c_0_0 ).

fof(c_0_61,axiom,
    ! [X96,X97,X98,X99,X100] :
      ( lhs_atom39(X98,X99)
      | ~ ( next_subocc(X100,X99,X97)
          & next_subocc(X100,X98,X97)
          & occurrence_of(X96,X97)
          & subactivity_occurrence(X98,X96)
          & subactivity_occurrence(X99,X96) ) ),
    c_0_1 ).

fof(c_0_62,axiom,
    ! [X50,X51,X52,X53] :
      ( lhs_atom21(X50,X51,X52)
      | ~ ( min_precedes(X52,X53,X50)
          & min_precedes(X51,X53,X50)
          & precedes(X52,X51) ) ),
    c_0_2 ).

fof(c_0_63,axiom,
    ! [X43,X44,X45,X46] :
      ( lhs_atom19(X43,X44,X45)
      | ~ ( min_precedes(X46,X45,X43)
          & min_precedes(X46,X44,X43)
          & precedes(X45,X44) ) ),
    c_0_3 ).

fof(c_0_64,axiom,
    ! [X128,X129,X130,X131,X132] :
      ( lhs_atom47(X128,X130,X132)
      | ~ ( occurrence_of(X131,X132)
          & root_occ(X129,X131)
          & leaf_occ(X128,X131)
          & subactivity_occurrence(X130,X131)
          & min_precedes(X129,X130,X132)
          & X130 != X128 ) ),
    c_0_4 ).

fof(c_0_65,axiom,
    ! [X123,X124,X125,X126,X127] :
      ( lhs_atom46(X124,X125,X127)
      | ~ ( occurrence_of(X126,X127)
          & root_occ(X124,X126)
          & leaf_occ(X123,X126)
          & subactivity_occurrence(X125,X126)
          & min_precedes(X125,X123,X127)
          & X125 != X124 ) ),
    c_0_5 ).

fof(c_0_66,axiom,
    ! [X58,X59,X60] :
      ( lhs_atom24(X58,X59,X60)
      | ( min_precedes(X60,X59,X58)
        & ~ ? [X61] :
              ( min_precedes(X60,X61,X58)
              & min_precedes(X61,X59,X58) ) ) ),
    c_0_6 ).

fof(c_0_67,axiom,
    ! [X101,X102,X103,X104] :
      ( lhs_atom40(X102,X103)
      | ~ ( next_subocc(X103,X104,X101)
          & next_subocc(X102,X104,X101) ) ),
    c_0_7 ).

fof(c_0_68,axiom,
    ! [X54,X55] :
      ( lhs_atom23(X54,X55)
      | ~ ( ( root(X55,X54)
            | ? [X56] : min_precedes(X56,X55,X54) )
          & ~ ? [X57] : min_precedes(X55,X57,X54) ) ),
    c_0_8 ).

fof(c_0_69,axiom,
    ! [X67,X68,X69] :
      ( lhs_atom29(X67,X68,X69)
      | ? [X70] :
          ( occurrence_of(X70,X69)
          & subactivity_occurrence(X68,X70)
          & subactivity_occurrence(X67,X70) ) ),
    c_0_9 ).

fof(c_0_70,axiom,
    ! [X21,X22,X23] :
      ( lhs_atom12(X21,X22,X23)
      | ? [X24,X25] :
          ( subactivity(X24,X23)
          & subactivity(X25,X23)
          & atocc(X22,X24)
          & atocc(X21,X25) ) ),
    c_0_10 ).

fof(c_0_71,axiom,
    ! [X71,X72,X73,X74] :
      ( lhs_atom30(X71,X74)
      | ~ ( min_precedes(X74,X73,X72)
          & occurrence_of(X71,X72)
          & subactivity_occurrence(X73,X71) ) ),
    c_0_11 ).

fof(c_0_72,plain,
    ! [X113,X114,X115,X116] :
      ( lhs_atom43(X113,X114)
      | ~ ( occurrence_of(X115,X116)
          & subactivity_occurrence(X114,X115)
          & leaf_occ(X113,X115)
          & arboreal(X114)
          & ~ min_precedes(X114,X113,X116) ) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_73,plain,
    ! [X109,X110,X111,X112] :
      ( lhs_atom42(X109,X110)
      | ~ ( occurrence_of(X111,X112)
          & subactivity_occurrence(X110,X111)
          & root_occ(X109,X111)
          & arboreal(X110)
          & ~ min_precedes(X109,X110,X112) ) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_74,axiom,
    ! [X29,X30,X31] :
      ( lhs_atom14(X29,X30,X31)
      | ? [X32] :
          ( root(X32,X29)
          & min_precedes(X32,X30,X29) ) ),
    c_0_14 ).

fof(c_0_75,axiom,
    ! [X105,X106,X107,X108] :
      ( lhs_atom41(X105,X106,X107)
      | ~ ( occurrence_of(X108,X105)
          & leaf_occ(X107,X108)
          & root_occ(X106,X108)
          & X107 != X106 ) ),
    c_0_15 ).

fof(c_0_76,axiom,
    ! [X54,X55] :
      ( lhs_atom22(X54,X55)
      | ( ( root(X55,X54)
          | ? [X56] : min_precedes(X56,X55,X54) )
        & ~ ? [X57] : min_precedes(X55,X57,X54) ) ),
    c_0_16 ).

fof(c_0_77,plain,
    ! [X92,X93,X94,X95] :
      ( lhs_atom38(X94,X95)
      | ~ ( occurrence_of(X93,X92)
          & ~ atomic(X92)
          & leaf_occ(X95,X93)
          & leaf_occ(X94,X93) ) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_78,plain,
    ! [X75,X76,X77,X78] :
      ( lhs_atom31(X77,X78)
      | ~ ( occurrence_of(X76,X78)
          & occurrence_of(X75,X77)
          & ~ atomic(X78)
          & subactivity_occurrence(X76,X75) ) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_79,axiom,
    ! [X88,X89,X90,X91] :
      ( lhs_atom37(X90,X91)
      | ~ ( occurrence_of(X89,X88)
          & root_occ(X91,X89)
          & root_occ(X90,X89) ) ),
    c_0_19 ).

fof(c_0_80,axiom,
    ! [X85,X86] :
      ( lhs_atom36(X85,X86)
      | ~ ? [X87] :
            ( occurrence_of(X85,X87)
            & subactivity_occurrence(X86,X85)
            & leaf(X86,X87) ) ),
    c_0_20 ).

fof(c_0_81,axiom,
    ! [X82,X83] :
      ( lhs_atom34(X82,X83)
      | ~ ? [X84] :
            ( occurrence_of(X83,X84)
            & subactivity_occurrence(X82,X83)
            & root(X82,X84) ) ),
    c_0_21 ).

fof(c_0_82,plain,
    ! [X33,X34,X35] :
      ( lhs_atom15(X33,X34,X35)
      | ~ root(X34,X33) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_83,axiom,
    ! [X133] :
      ( lhs_atom48(X133)
      | ? [X134,X135,X136] :
          ( occurrence_of(X134,tptp3)
          & root_occ(X134,X133)
          & occurrence_of(X135,tptp4)
          & next_subocc(X134,X135,tptp0)
          & ( occurrence_of(X136,tptp1)
            | occurrence_of(X136,tptp2) )
          & next_subocc(X135,X136,tptp0)
          & leaf_occ(X136,X133) ) ),
    c_0_23 ).

fof(c_0_84,axiom,
    ! [X36,X37,X38] :
      ( lhs_atom16(X36,X37,X38)
      | precedes(X38,X37) ),
    c_0_24 ).

fof(c_0_85,axiom,
    ! [X62,X63] :
      ( lhs_atom27(X62,X63)
      | ~ ? [X64] :
            ( subactivity(X62,X64)
            & atomic(X64)
            & occurrence_of(X63,X64) ) ),
    c_0_25 ).

fof(c_0_86,plain,
    ! [X47,X48,X49] :
      ( lhs_atom20(X47,X48,X49)
      | ~ atomic(X47) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_87,axiom,
    ! [X79,X80,X81] :
      ( lhs_atom32(X79,X81)
      | ~ ( subactivity_occurrence(X81,X80)
          & subactivity_occurrence(X80,X79) ) ),
    c_0_27 ).

fof(c_0_88,axiom,
    ! [X11,X12,X13] :
      ( lhs_atom6(X11,X13)
      | ~ ( earlier(X13,X12)
          & earlier(X12,X11) ) ),
    c_0_28 ).

fof(c_0_89,axiom,
    ! [X5,X6,X7] :
      ( lhs_atom3(X5,X6)
      | ~ ( occurrence_of(X7,X6)
          & occurrence_of(X7,X5) ) ),
    c_0_29 ).

fof(c_0_90,axiom,
    ! [X120,X121,X122] :
      ( lhs_atom45(X120,X121,X122)
      | arboreal(X122) ),
    c_0_30 ).

fof(c_0_91,axiom,
    ! [X117,X118,X119] :
      ( lhs_atom44(X117,X118,X119)
      | ( arboreal(X119)
        & arboreal(X118) ) ),
    c_0_31 ).

fof(c_0_92,axiom,
    ! [X85,X86] :
      ( lhs_atom35(X85,X86)
      | ? [X87] :
          ( occurrence_of(X85,X87)
          & subactivity_occurrence(X86,X85)
          & leaf(X86,X87) ) ),
    c_0_32 ).

fof(c_0_93,axiom,
    ! [X82,X83] :
      ( lhs_atom33(X82,X83)
      | ? [X84] :
          ( occurrence_of(X83,X84)
          & subactivity_occurrence(X82,X83)
          & root(X82,X84) ) ),
    c_0_33 ).

fof(c_0_94,axiom,
    ! [X62,X63] :
      ( lhs_atom26(X62,X63)
      | ? [X64] :
          ( subactivity(X62,X64)
          & atomic(X64)
          & occurrence_of(X63,X64) ) ),
    c_0_34 ).

fof(c_0_95,axiom,
    ! [X26,X27] :
      ( lhs_atom13(X26,X27)
      | ? [X28] :
          ( subactivity(X28,X27)
          & atocc(X26,X28) ) ),
    c_0_35 ).

fof(c_0_96,axiom,
    ! [X41,X42] :
      ( lhs_atom18(X41,X42)
      | ~ ( atocc(X42,X41)
          & legal(X42) ) ),
    c_0_36 ).

fof(c_0_97,axiom,
    ! [X19,X20] :
      ( lhs_atom11(X19,X20)
      | ~ ( earlier(X20,X19)
          & legal(X19) ) ),
    c_0_37 ).

fof(c_0_98,plain,
    ! [X9,X10] :
      ( lhs_atom5(X9,X10)
      | ~ earlier(X9,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_99,axiom,
    ! [X17,X18] :
      ( lhs_atom9(X17)
      | ~ ( legal(X18)
          & earlier(X17,X18) ) ),
    c_0_39 ).

fof(c_0_100,axiom,
    ! [X19,X20] :
      ( lhs_atom10(X19,X20)
      | ( earlier(X20,X19)
        & legal(X19) ) ),
    c_0_40 ).

fof(c_0_101,axiom,
    ! [X14,X15] :
      ( lhs_atom7(X14,X15)
      | ( arboreal(X15)
      <=> atomic(X14) ) ),
    c_0_41 ).

fof(c_0_102,axiom,
    ! [X3] :
      ( lhs_atom2(X3)
      | ? [X4] :
          ( activity(X4)
          & occurrence_of(X3,X4) ) ),
    c_0_42 ).

fof(c_0_103,axiom,
    ! [X65,X66] :
      ( lhs_atom28(X65,X66)
      | ( activity_occurrence(X66)
        & activity_occurrence(X65) ) ),
    c_0_43 ).

fof(c_0_104,axiom,
    ! [X39,X40] :
      ( lhs_atom17(X39,X40)
      | legal(X40) ),
    c_0_44 ).

fof(c_0_105,axiom,
    ! [X8] :
      ( lhs_atom4(X8)
      | subactivity(X8,X8) ),
    c_0_45 ).

fof(c_0_106,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ( activity(X2)
        & activity_occurrence(X1) ) ),
    c_0_46 ).

fof(c_0_107,axiom,
    ! [X16] :
      ( lhs_atom8(X16)
      | arboreal(X16) ),
    c_0_47 ).

fof(c_0_108,plain,
    lhs_atom60,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_109,plain,
    lhs_atom59,
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_110,plain,
    lhs_atom58,
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_111,plain,
    lhs_atom57,
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_112,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_113,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_114,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_115,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_116,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_117,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_118,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_119,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_120,plain,
    ! [X62,X63,X64] :
      ( ( min_precedes(X64,esk8_3(X62,X63,X64),X62)
        | ~ min_precedes(X64,X63,X62)
        | lhs_atom25(X62,X63,X64) )
      & ( min_precedes(esk8_3(X62,X63,X64),X63,X62)
        | ~ min_precedes(X64,X63,X62)
        | lhs_atom25(X62,X63,X64) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).

fof(c_0_121,plain,
    ! [X101,X102,X103,X104,X105] :
      ( lhs_atom39(X103,X104)
      | ~ next_subocc(X105,X104,X102)
      | ~ next_subocc(X105,X103,X102)
      | ~ occurrence_of(X101,X102)
      | ~ subactivity_occurrence(X103,X101)
      | ~ subactivity_occurrence(X104,X101) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).

fof(c_0_122,plain,
    ! [X54,X55,X56,X57] :
      ( lhs_atom21(X54,X55,X56)
      | ~ min_precedes(X56,X57,X54)
      | ~ min_precedes(X55,X57,X54)
      | ~ precedes(X56,X55) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).

fof(c_0_123,plain,
    ! [X47,X48,X49,X50] :
      ( lhs_atom19(X47,X48,X49)
      | ~ min_precedes(X50,X49,X47)
      | ~ min_precedes(X50,X48,X47)
      | ~ precedes(X49,X48) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])]) ).

fof(c_0_124,plain,
    ! [X133,X134,X135,X136,X137] :
      ( lhs_atom47(X133,X135,X137)
      | ~ occurrence_of(X136,X137)
      | ~ root_occ(X134,X136)
      | ~ leaf_occ(X133,X136)
      | ~ subactivity_occurrence(X135,X136)
      | ~ min_precedes(X134,X135,X137)
      | X135 = X133 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])]) ).

fof(c_0_125,plain,
    ! [X128,X129,X130,X131,X132] :
      ( lhs_atom46(X129,X130,X132)
      | ~ occurrence_of(X131,X132)
      | ~ root_occ(X129,X131)
      | ~ leaf_occ(X128,X131)
      | ~ subactivity_occurrence(X130,X131)
      | ~ min_precedes(X130,X128,X132)
      | X130 = X129 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).

fof(c_0_126,plain,
    ! [X62,X63,X64,X65] :
      ( ( min_precedes(X64,X63,X62)
        | lhs_atom24(X62,X63,X64) )
      & ( ~ min_precedes(X64,X65,X62)
        | ~ min_precedes(X65,X63,X62)
        | lhs_atom24(X62,X63,X64) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).

fof(c_0_127,plain,
    ! [X105,X106,X107,X108] :
      ( lhs_atom40(X106,X107)
      | ~ next_subocc(X107,X108,X105)
      | ~ next_subocc(X106,X108,X105) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).

fof(c_0_128,plain,
    ! [X58,X59,X60] :
      ( ( ~ root(X59,X58)
        | min_precedes(X59,esk7_2(X58,X59),X58)
        | lhs_atom23(X58,X59) )
      & ( ~ min_precedes(X60,X59,X58)
        | min_precedes(X59,esk7_2(X58,X59),X58)
        | lhs_atom23(X58,X59) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])])]) ).

fof(c_0_129,plain,
    ! [X71,X72,X73] :
      ( ( occurrence_of(esk10_3(X71,X72,X73),X73)
        | lhs_atom29(X71,X72,X73) )
      & ( subactivity_occurrence(X72,esk10_3(X71,X72,X73))
        | lhs_atom29(X71,X72,X73) )
      & ( subactivity_occurrence(X71,esk10_3(X71,X72,X73))
        | lhs_atom29(X71,X72,X73) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_69])])]) ).

fof(c_0_130,plain,
    ! [X26,X27,X28] :
      ( ( subactivity(esk2_3(X26,X27,X28),X28)
        | lhs_atom12(X26,X27,X28) )
      & ( subactivity(esk3_3(X26,X27,X28),X28)
        | lhs_atom12(X26,X27,X28) )
      & ( atocc(X27,esk2_3(X26,X27,X28))
        | lhs_atom12(X26,X27,X28) )
      & ( atocc(X26,esk3_3(X26,X27,X28))
        | lhs_atom12(X26,X27,X28) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_70])])])]) ).

fof(c_0_131,plain,
    ! [X75,X76,X77,X78] :
      ( lhs_atom30(X75,X78)
      | ~ min_precedes(X78,X77,X76)
      | ~ occurrence_of(X75,X76)
      | ~ subactivity_occurrence(X77,X75) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])]) ).

fof(c_0_132,plain,
    ! [X117,X118,X119,X120] :
      ( lhs_atom43(X117,X118)
      | ~ occurrence_of(X119,X120)
      | ~ subactivity_occurrence(X118,X119)
      | ~ leaf_occ(X117,X119)
      | ~ arboreal(X118)
      | min_precedes(X118,X117,X120) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])]) ).

fof(c_0_133,plain,
    ! [X113,X114,X115,X116] :
      ( lhs_atom42(X113,X114)
      | ~ occurrence_of(X115,X116)
      | ~ subactivity_occurrence(X114,X115)
      | ~ root_occ(X113,X115)
      | ~ arboreal(X114)
      | min_precedes(X113,X114,X116) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).

fof(c_0_134,plain,
    ! [X33,X34,X35] :
      ( ( root(esk5_2(X33,X34),X33)
        | lhs_atom14(X33,X34,X35) )
      & ( min_precedes(esk5_2(X33,X34),X34,X33)
        | lhs_atom14(X33,X34,X35) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_74])])])])]) ).

fof(c_0_135,plain,
    ! [X109,X110,X111,X112] :
      ( lhs_atom41(X109,X110,X111)
      | ~ occurrence_of(X112,X109)
      | ~ leaf_occ(X111,X112)
      | ~ root_occ(X110,X112)
      | X111 = X110 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])]) ).

fof(c_0_136,plain,
    ! [X58,X59,X61] :
      ( ( root(X59,X58)
        | min_precedes(esk6_2(X58,X59),X59,X58)
        | lhs_atom22(X58,X59) )
      & ( ~ min_precedes(X59,X61,X58)
        | lhs_atom22(X58,X59) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])])])]) ).

fof(c_0_137,plain,
    ! [X96,X97,X98,X99] :
      ( lhs_atom38(X98,X99)
      | ~ occurrence_of(X97,X96)
      | atomic(X96)
      | ~ leaf_occ(X99,X97)
      | ~ leaf_occ(X98,X97) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).

fof(c_0_138,plain,
    ! [X79,X80,X81,X82] :
      ( lhs_atom31(X81,X82)
      | ~ occurrence_of(X80,X82)
      | ~ occurrence_of(X79,X81)
      | atomic(X82)
      | ~ subactivity_occurrence(X80,X79) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])]) ).

fof(c_0_139,plain,
    ! [X92,X93,X94,X95] :
      ( lhs_atom37(X94,X95)
      | ~ occurrence_of(X93,X92)
      | ~ root_occ(X95,X93)
      | ~ root_occ(X94,X93) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])]) ).

fof(c_0_140,plain,
    ! [X88,X89,X90] :
      ( lhs_atom36(X88,X89)
      | ~ occurrence_of(X88,X90)
      | ~ subactivity_occurrence(X89,X88)
      | ~ leaf(X89,X90) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])]) ).

fof(c_0_141,plain,
    ! [X85,X86,X87] :
      ( lhs_atom34(X85,X86)
      | ~ occurrence_of(X86,X87)
      | ~ subactivity_occurrence(X85,X86)
      | ~ root(X85,X87) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).

fof(c_0_142,plain,
    ! [X36,X37,X38] :
      ( lhs_atom15(X36,X37,X38)
      | ~ root(X37,X36) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_82])])]) ).

fof(c_0_143,plain,
    ! [X137] :
      ( ( occurrence_of(esk13_1(X137),tptp3)
        | lhs_atom48(X137) )
      & ( root_occ(esk13_1(X137),X137)
        | lhs_atom48(X137) )
      & ( occurrence_of(esk14_1(X137),tptp4)
        | lhs_atom48(X137) )
      & ( next_subocc(esk13_1(X137),esk14_1(X137),tptp0)
        | lhs_atom48(X137) )
      & ( occurrence_of(esk15_1(X137),tptp1)
        | occurrence_of(esk15_1(X137),tptp2)
        | lhs_atom48(X137) )
      & ( next_subocc(esk14_1(X137),esk15_1(X137),tptp0)
        | lhs_atom48(X137) )
      & ( leaf_occ(esk15_1(X137),X137)
        | lhs_atom48(X137) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_83])])])]) ).

fof(c_0_144,plain,
    ! [X39,X40,X41] :
      ( lhs_atom16(X39,X40,X41)
      | precedes(X41,X40) ),
    inference(variable_rename,[status(thm)],[c_0_84]) ).

fof(c_0_145,plain,
    ! [X65,X66,X67] :
      ( lhs_atom27(X65,X66)
      | ~ subactivity(X65,X67)
      | ~ atomic(X67)
      | ~ occurrence_of(X66,X67) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).

fof(c_0_146,plain,
    ! [X50,X51,X52] :
      ( lhs_atom20(X50,X51,X52)
      | ~ atomic(X50) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_86])])]) ).

fof(c_0_147,plain,
    ! [X82,X83,X84] :
      ( lhs_atom32(X82,X84)
      | ~ subactivity_occurrence(X84,X83)
      | ~ subactivity_occurrence(X83,X82) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])]) ).

fof(c_0_148,plain,
    ! [X14,X15,X16] :
      ( lhs_atom6(X14,X16)
      | ~ earlier(X16,X15)
      | ~ earlier(X15,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])]) ).

fof(c_0_149,plain,
    ! [X8,X9,X10] :
      ( lhs_atom3(X8,X9)
      | ~ occurrence_of(X10,X9)
      | ~ occurrence_of(X10,X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])]) ).

fof(c_0_150,plain,
    ! [X123,X124,X125] :
      ( lhs_atom45(X123,X124,X125)
      | arboreal(X125) ),
    inference(variable_rename,[status(thm)],[c_0_90]) ).

fof(c_0_151,plain,
    ! [X120,X121,X122] :
      ( ( arboreal(X122)
        | lhs_atom44(X120,X121,X122) )
      & ( arboreal(X121)
        | lhs_atom44(X120,X121,X122) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_91])]) ).

fof(c_0_152,plain,
    ! [X88,X89] :
      ( ( occurrence_of(X88,esk12_2(X88,X89))
        | lhs_atom35(X88,X89) )
      & ( subactivity_occurrence(X89,X88)
        | lhs_atom35(X88,X89) )
      & ( leaf(X89,esk12_2(X88,X89))
        | lhs_atom35(X88,X89) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_92])])]) ).

fof(c_0_153,plain,
    ! [X85,X86] :
      ( ( occurrence_of(X86,esk11_2(X85,X86))
        | lhs_atom33(X85,X86) )
      & ( subactivity_occurrence(X85,X86)
        | lhs_atom33(X85,X86) )
      & ( root(X85,esk11_2(X85,X86))
        | lhs_atom33(X85,X86) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_93])])]) ).

fof(c_0_154,plain,
    ! [X65,X66] :
      ( ( subactivity(X65,esk9_2(X65,X66))
        | lhs_atom26(X65,X66) )
      & ( atomic(esk9_2(X65,X66))
        | lhs_atom26(X65,X66) )
      & ( occurrence_of(X66,esk9_2(X65,X66))
        | lhs_atom26(X65,X66) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_94])])]) ).

fof(c_0_155,plain,
    ! [X29,X30] :
      ( ( subactivity(esk4_2(X29,X30),X30)
        | lhs_atom13(X29,X30) )
      & ( atocc(X29,esk4_2(X29,X30))
        | lhs_atom13(X29,X30) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_95])])]) ).

fof(c_0_156,plain,
    ! [X43,X44] :
      ( lhs_atom18(X43,X44)
      | ~ atocc(X44,X43)
      | ~ legal(X44) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])]) ).

fof(c_0_157,plain,
    ! [X21,X22] :
      ( lhs_atom11(X21,X22)
      | ~ earlier(X22,X21)
      | ~ legal(X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])]) ).

fof(c_0_158,plain,
    ! [X11,X12] :
      ( lhs_atom5(X11,X12)
      | ~ earlier(X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_98]) ).

fof(c_0_159,plain,
    ! [X19,X20] :
      ( lhs_atom9(X19)
      | ~ legal(X20)
      | ~ earlier(X19,X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])])]) ).

fof(c_0_160,plain,
    ! [X21,X22] :
      ( ( earlier(X22,X21)
        | lhs_atom10(X21,X22) )
      & ( legal(X21)
        | lhs_atom10(X21,X22) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_100])]) ).

fof(c_0_161,plain,
    ! [X16,X17] :
      ( ( ~ arboreal(X17)
        | atomic(X16)
        | lhs_atom7(X16,X17) )
      & ( ~ atomic(X16)
        | arboreal(X17)
        | lhs_atom7(X16,X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])]) ).

fof(c_0_162,plain,
    ! [X5] :
      ( ( activity(esk1_1(X5))
        | lhs_atom2(X5) )
      & ( occurrence_of(X5,esk1_1(X5))
        | lhs_atom2(X5) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_102])])]) ).

fof(c_0_163,plain,
    ! [X67,X68] :
      ( ( activity_occurrence(X68)
        | lhs_atom28(X67,X68) )
      & ( activity_occurrence(X67)
        | lhs_atom28(X67,X68) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_103])]) ).

fof(c_0_164,plain,
    ! [X41,X42] :
      ( lhs_atom17(X41,X42)
      | legal(X42) ),
    inference(variable_rename,[status(thm)],[c_0_104]) ).

fof(c_0_165,plain,
    ! [X9] :
      ( lhs_atom4(X9)
      | subactivity(X9,X9) ),
    inference(variable_rename,[status(thm)],[c_0_105]) ).

fof(c_0_166,plain,
    ! [X3,X4] :
      ( ( activity(X4)
        | lhs_atom1(X3,X4) )
      & ( activity_occurrence(X3)
        | lhs_atom1(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_106])]) ).

fof(c_0_167,plain,
    ! [X17] :
      ( lhs_atom8(X17)
      | arboreal(X17) ),
    inference(variable_rename,[status(thm)],[c_0_107]) ).

fof(c_0_168,plain,
    lhs_atom60,
    c_0_108 ).

fof(c_0_169,plain,
    lhs_atom59,
    c_0_109 ).

fof(c_0_170,plain,
    lhs_atom58,
    c_0_110 ).

fof(c_0_171,plain,
    lhs_atom57,
    c_0_111 ).

fof(c_0_172,plain,
    lhs_atom56,
    c_0_112 ).

fof(c_0_173,plain,
    lhs_atom55,
    c_0_113 ).

fof(c_0_174,plain,
    lhs_atom54,
    c_0_114 ).

fof(c_0_175,plain,
    lhs_atom53,
    c_0_115 ).

fof(c_0_176,plain,
    lhs_atom52,
    c_0_116 ).

fof(c_0_177,plain,
    lhs_atom51,
    c_0_117 ).

fof(c_0_178,plain,
    lhs_atom50,
    c_0_118 ).

fof(c_0_179,plain,
    lhs_atom49,
    c_0_119 ).

cnf(c_0_180,plain,
    ( lhs_atom25(X1,X2,X3)
    | min_precedes(X3,esk8_3(X1,X2,X3),X1)
    | ~ min_precedes(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_181,plain,
    ( lhs_atom25(X1,X2,X3)
    | min_precedes(esk8_3(X1,X2,X3),X2,X1)
    | ~ min_precedes(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_182,plain,
    ( lhs_atom39(X3,X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(X3,X2)
    | ~ occurrence_of(X2,X4)
    | ~ next_subocc(X5,X3,X4)
    | ~ next_subocc(X5,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_183,plain,
    ( lhs_atom21(X4,X2,X1)
    | ~ precedes(X1,X2)
    | ~ min_precedes(X2,X3,X4)
    | ~ min_precedes(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_184,plain,
    ( lhs_atom19(X4,X2,X1)
    | ~ precedes(X1,X2)
    | ~ min_precedes(X3,X2,X4)
    | ~ min_precedes(X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_185,plain,
    ( X1 = X2
    | lhs_atom47(X2,X1,X4)
    | ~ min_precedes(X3,X1,X4)
    | ~ subactivity_occurrence(X1,X5)
    | ~ leaf_occ(X2,X5)
    | ~ root_occ(X3,X5)
    | ~ occurrence_of(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_186,plain,
    ( X1 = X2
    | lhs_atom46(X2,X1,X4)
    | ~ min_precedes(X1,X3,X4)
    | ~ subactivity_occurrence(X1,X5)
    | ~ leaf_occ(X3,X5)
    | ~ root_occ(X2,X5)
    | ~ occurrence_of(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_187,plain,
    ( lhs_atom24(X1,X2,X3)
    | ~ min_precedes(X4,X2,X1)
    | ~ min_precedes(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_188,plain,
    ( lhs_atom40(X1,X4)
    | ~ next_subocc(X1,X2,X3)
    | ~ next_subocc(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_189,plain,
    ( lhs_atom23(X1,X2)
    | min_precedes(X2,esk7_2(X1,X2),X1)
    | ~ min_precedes(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_190,plain,
    ( lhs_atom29(X1,X2,X3)
    | occurrence_of(esk10_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_191,plain,
    ( lhs_atom29(X1,X2,X3)
    | subactivity_occurrence(X2,esk10_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_192,plain,
    ( lhs_atom29(X1,X2,X3)
    | subactivity_occurrence(X1,esk10_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_193,plain,
    ( lhs_atom12(X1,X2,X3)
    | subactivity(esk2_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_194,plain,
    ( lhs_atom12(X1,X2,X3)
    | subactivity(esk3_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_195,plain,
    ( lhs_atom12(X1,X2,X3)
    | atocc(X2,esk2_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_196,plain,
    ( lhs_atom12(X1,X2,X3)
    | atocc(X1,esk3_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_197,plain,
    ( lhs_atom30(X2,X4)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ min_precedes(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_198,plain,
    ( min_precedes(X1,X2,X3)
    | lhs_atom43(X2,X1)
    | ~ arboreal(X1)
    | ~ leaf_occ(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_199,plain,
    ( min_precedes(X1,X2,X3)
    | lhs_atom42(X1,X2)
    | ~ arboreal(X2)
    | ~ root_occ(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_200,plain,
    ( lhs_atom14(X1,X2,X3)
    | min_precedes(esk5_2(X1,X2),X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_201,plain,
    ( X1 = X2
    | lhs_atom41(X4,X2,X1)
    | ~ root_occ(X2,X3)
    | ~ leaf_occ(X1,X3)
    | ~ occurrence_of(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_202,plain,
    ( lhs_atom23(X1,X2)
    | min_precedes(X2,esk7_2(X1,X2),X1)
    | ~ root(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_203,plain,
    ( lhs_atom24(X1,X2,X3)
    | min_precedes(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_204,plain,
    ( lhs_atom22(X1,X2)
    | min_precedes(esk6_2(X1,X2),X2,X1)
    | root(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_205,plain,
    ( lhs_atom22(X1,X2)
    | ~ min_precedes(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_206,plain,
    ( lhs_atom14(X1,X2,X3)
    | root(esk5_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_207,plain,
    ( atomic(X4)
    | lhs_atom38(X1,X3)
    | ~ leaf_occ(X1,X2)
    | ~ leaf_occ(X3,X2)
    | ~ occurrence_of(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_208,plain,
    ( atomic(X3)
    | lhs_atom31(X4,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_209,plain,
    ( lhs_atom37(X1,X3)
    | ~ root_occ(X1,X2)
    | ~ root_occ(X3,X2)
    | ~ occurrence_of(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_210,plain,
    ( lhs_atom36(X3,X1)
    | ~ leaf(X1,X2)
    | ~ subactivity_occurrence(X1,X3)
    | ~ occurrence_of(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_211,plain,
    ( lhs_atom34(X1,X3)
    | ~ root(X1,X2)
    | ~ subactivity_occurrence(X1,X3)
    | ~ occurrence_of(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_212,plain,
    ( lhs_atom15(X2,X1,X3)
    | ~ root(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_213,plain,
    ( lhs_atom48(X1)
    | next_subocc(esk13_1(X1),esk14_1(X1),tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_214,plain,
    ( lhs_atom48(X1)
    | next_subocc(esk14_1(X1),esk15_1(X1),tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_215,plain,
    ( precedes(X1,X2)
    | lhs_atom16(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_216,plain,
    ( lhs_atom27(X3,X1)
    | ~ occurrence_of(X1,X2)
    | ~ atomic(X2)
    | ~ subactivity(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_217,plain,
    ( lhs_atom20(X1,X2,X3)
    | ~ atomic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_218,plain,
    ( lhs_atom32(X2,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_219,plain,
    ( lhs_atom6(X2,X3)
    | ~ earlier(X1,X2)
    | ~ earlier(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_220,plain,
    ( lhs_atom3(X2,X3)
    | ~ occurrence_of(X1,X2)
    | ~ occurrence_of(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_221,plain,
    ( arboreal(X1)
    | lhs_atom45(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_222,plain,
    ( lhs_atom44(X1,X2,X3)
    | arboreal(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_223,plain,
    ( lhs_atom44(X1,X2,X3)
    | arboreal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_224,plain,
    ( lhs_atom35(X1,X2)
    | occurrence_of(X1,esk12_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_225,plain,
    ( lhs_atom35(X1,X2)
    | leaf(X2,esk12_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_226,plain,
    ( lhs_atom33(X1,X2)
    | occurrence_of(X2,esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_227,plain,
    ( lhs_atom33(X1,X2)
    | root(X1,esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_228,plain,
    ( lhs_atom26(X1,X2)
    | subactivity(X1,esk9_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_229,plain,
    ( lhs_atom26(X1,X2)
    | occurrence_of(X2,esk9_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_230,plain,
    ( lhs_atom13(X1,X2)
    | subactivity(esk4_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_231,plain,
    ( lhs_atom13(X1,X2)
    | atocc(X1,esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_232,plain,
    ( lhs_atom26(X1,X2)
    | atomic(esk9_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_233,plain,
    ( lhs_atom18(X2,X1)
    | ~ legal(X1)
    | ~ atocc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_234,plain,
    ( lhs_atom11(X1,X2)
    | ~ legal(X1)
    | ~ earlier(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_235,plain,
    ( lhs_atom48(X1)
    | occurrence_of(esk15_1(X1),tptp2)
    | occurrence_of(esk15_1(X1),tptp1) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_236,plain,
    ( lhs_atom5(X1,X2)
    | ~ earlier(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_237,plain,
    ( lhs_atom9(X1)
    | ~ earlier(X1,X2)
    | ~ legal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_238,plain,
    ( lhs_atom35(X1,X2)
    | subactivity_occurrence(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_239,plain,
    ( lhs_atom33(X1,X2)
    | subactivity_occurrence(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_240,plain,
    ( lhs_atom10(X1,X2)
    | earlier(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_241,plain,
    ( lhs_atom7(X1,X2)
    | atomic(X1)
    | ~ arboreal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_242,plain,
    ( lhs_atom7(X1,X2)
    | arboreal(X2)
    | ~ atomic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_243,plain,
    ( lhs_atom48(X1)
    | root_occ(esk13_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_244,plain,
    ( lhs_atom48(X1)
    | leaf_occ(esk15_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_245,plain,
    ( lhs_atom2(X1)
    | occurrence_of(X1,esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_246,plain,
    ( lhs_atom48(X1)
    | occurrence_of(esk13_1(X1),tptp3) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_247,plain,
    ( lhs_atom48(X1)
    | occurrence_of(esk14_1(X1),tptp4) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_248,plain,
    ( lhs_atom28(X1,X2)
    | activity_occurrence(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_249,plain,
    ( lhs_atom28(X1,X2)
    | activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_250,plain,
    ( legal(X1)
    | lhs_atom17(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_251,plain,
    ( lhs_atom10(X1,X2)
    | legal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_252,plain,
    ( subactivity(X1,X1)
    | lhs_atom4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_253,plain,
    ( lhs_atom1(X1,X2)
    | activity(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_254,plain,
    ( lhs_atom1(X1,X2)
    | activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_255,plain,
    ( lhs_atom2(X1)
    | activity(esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_256,plain,
    ( arboreal(X1)
    | lhs_atom8(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_257,plain,
    lhs_atom60,
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_258,plain,
    lhs_atom59,
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_259,plain,
    lhs_atom58,
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_260,plain,
    lhs_atom57,
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_261,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_262,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_263,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_174]) ).

cnf(c_0_264,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_265,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_266,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_267,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_268,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_179]) ).

cnf(c_0_269,plain,
    ( lhs_atom25(X1,X2,X3)
    | min_precedes(X3,esk8_3(X1,X2,X3),X1)
    | ~ min_precedes(X3,X2,X1) ),
    c_0_180,
    [final] ).

cnf(c_0_270,plain,
    ( lhs_atom25(X1,X2,X3)
    | min_precedes(esk8_3(X1,X2,X3),X2,X1)
    | ~ min_precedes(X3,X2,X1) ),
    c_0_181,
    [final] ).

cnf(c_0_271,plain,
    ( lhs_atom39(X3,X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(X3,X2)
    | ~ occurrence_of(X2,X4)
    | ~ next_subocc(X5,X3,X4)
    | ~ next_subocc(X5,X1,X4) ),
    c_0_182,
    [final] ).

cnf(c_0_272,plain,
    ( lhs_atom21(X4,X2,X1)
    | ~ precedes(X1,X2)
    | ~ min_precedes(X2,X3,X4)
    | ~ min_precedes(X1,X3,X4) ),
    c_0_183,
    [final] ).

cnf(c_0_273,plain,
    ( lhs_atom19(X4,X2,X1)
    | ~ precedes(X1,X2)
    | ~ min_precedes(X3,X2,X4)
    | ~ min_precedes(X3,X1,X4) ),
    c_0_184,
    [final] ).

cnf(c_0_274,plain,
    ( X1 = X2
    | lhs_atom47(X2,X1,X4)
    | ~ min_precedes(X3,X1,X4)
    | ~ subactivity_occurrence(X1,X5)
    | ~ leaf_occ(X2,X5)
    | ~ root_occ(X3,X5)
    | ~ occurrence_of(X5,X4) ),
    c_0_185,
    [final] ).

cnf(c_0_275,plain,
    ( X1 = X2
    | lhs_atom46(X2,X1,X4)
    | ~ min_precedes(X1,X3,X4)
    | ~ subactivity_occurrence(X1,X5)
    | ~ leaf_occ(X3,X5)
    | ~ root_occ(X2,X5)
    | ~ occurrence_of(X5,X4) ),
    c_0_186,
    [final] ).

cnf(c_0_276,plain,
    ( lhs_atom24(X1,X2,X3)
    | ~ min_precedes(X4,X2,X1)
    | ~ min_precedes(X3,X4,X1) ),
    c_0_187,
    [final] ).

cnf(c_0_277,plain,
    ( lhs_atom40(X1,X4)
    | ~ next_subocc(X1,X2,X3)
    | ~ next_subocc(X4,X2,X3) ),
    c_0_188,
    [final] ).

cnf(c_0_278,plain,
    ( lhs_atom23(X1,X2)
    | min_precedes(X2,esk7_2(X1,X2),X1)
    | ~ min_precedes(X3,X2,X1) ),
    c_0_189,
    [final] ).

cnf(c_0_279,plain,
    ( lhs_atom29(X1,X2,X3)
    | occurrence_of(esk10_3(X1,X2,X3),X3) ),
    c_0_190,
    [final] ).

cnf(c_0_280,plain,
    ( lhs_atom29(X1,X2,X3)
    | subactivity_occurrence(X2,esk10_3(X1,X2,X3)) ),
    c_0_191,
    [final] ).

cnf(c_0_281,plain,
    ( lhs_atom29(X1,X2,X3)
    | subactivity_occurrence(X1,esk10_3(X1,X2,X3)) ),
    c_0_192,
    [final] ).

cnf(c_0_282,plain,
    ( lhs_atom12(X1,X2,X3)
    | subactivity(esk2_3(X1,X2,X3),X3) ),
    c_0_193,
    [final] ).

cnf(c_0_283,plain,
    ( lhs_atom12(X1,X2,X3)
    | subactivity(esk3_3(X1,X2,X3),X3) ),
    c_0_194,
    [final] ).

cnf(c_0_284,plain,
    ( lhs_atom12(X1,X2,X3)
    | atocc(X2,esk2_3(X1,X2,X3)) ),
    c_0_195,
    [final] ).

cnf(c_0_285,plain,
    ( lhs_atom12(X1,X2,X3)
    | atocc(X1,esk3_3(X1,X2,X3)) ),
    c_0_196,
    [final] ).

cnf(c_0_286,plain,
    ( lhs_atom30(X2,X4)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ min_precedes(X4,X1,X3) ),
    c_0_197,
    [final] ).

cnf(c_0_287,plain,
    ( min_precedes(X1,X2,X3)
    | lhs_atom43(X2,X1)
    | ~ arboreal(X1)
    | ~ leaf_occ(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ occurrence_of(X4,X3) ),
    c_0_198,
    [final] ).

cnf(c_0_288,plain,
    ( min_precedes(X1,X2,X3)
    | lhs_atom42(X1,X2)
    | ~ arboreal(X2)
    | ~ root_occ(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    c_0_199,
    [final] ).

cnf(c_0_289,plain,
    ( lhs_atom14(X1,X2,X3)
    | min_precedes(esk5_2(X1,X2),X2,X1) ),
    c_0_200,
    [final] ).

cnf(c_0_290,plain,
    ( X1 = X2
    | lhs_atom41(X4,X2,X1)
    | ~ root_occ(X2,X3)
    | ~ leaf_occ(X1,X3)
    | ~ occurrence_of(X3,X4) ),
    c_0_201,
    [final] ).

cnf(c_0_291,plain,
    ( lhs_atom23(X1,X2)
    | min_precedes(X2,esk7_2(X1,X2),X1)
    | ~ root(X2,X1) ),
    c_0_202,
    [final] ).

cnf(c_0_292,plain,
    ( lhs_atom24(X1,X2,X3)
    | min_precedes(X3,X2,X1) ),
    c_0_203,
    [final] ).

cnf(c_0_293,plain,
    ( lhs_atom22(X1,X2)
    | min_precedes(esk6_2(X1,X2),X2,X1)
    | root(X2,X1) ),
    c_0_204,
    [final] ).

cnf(c_0_294,plain,
    ( lhs_atom22(X1,X2)
    | ~ min_precedes(X2,X3,X1) ),
    c_0_205,
    [final] ).

cnf(c_0_295,plain,
    ( lhs_atom14(X1,X2,X3)
    | root(esk5_2(X1,X2),X1) ),
    c_0_206,
    [final] ).

cnf(c_0_296,plain,
    ( atomic(X4)
    | lhs_atom38(X1,X3)
    | ~ leaf_occ(X1,X2)
    | ~ leaf_occ(X3,X2)
    | ~ occurrence_of(X2,X4) ),
    c_0_207,
    [final] ).

cnf(c_0_297,plain,
    ( atomic(X3)
    | lhs_atom31(X4,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    c_0_208,
    [final] ).

cnf(c_0_298,plain,
    ( lhs_atom37(X1,X3)
    | ~ root_occ(X1,X2)
    | ~ root_occ(X3,X2)
    | ~ occurrence_of(X2,X4) ),
    c_0_209,
    [final] ).

cnf(c_0_299,plain,
    ( lhs_atom36(X3,X1)
    | ~ leaf(X1,X2)
    | ~ subactivity_occurrence(X1,X3)
    | ~ occurrence_of(X3,X2) ),
    c_0_210,
    [final] ).

cnf(c_0_300,plain,
    ( lhs_atom34(X1,X3)
    | ~ root(X1,X2)
    | ~ subactivity_occurrence(X1,X3)
    | ~ occurrence_of(X3,X2) ),
    c_0_211,
    [final] ).

cnf(c_0_301,plain,
    ( lhs_atom15(X2,X1,X3)
    | ~ root(X1,X2) ),
    c_0_212,
    [final] ).

cnf(c_0_302,plain,
    ( lhs_atom48(X1)
    | next_subocc(esk13_1(X1),esk14_1(X1),tptp0) ),
    c_0_213,
    [final] ).

cnf(c_0_303,plain,
    ( lhs_atom48(X1)
    | next_subocc(esk14_1(X1),esk15_1(X1),tptp0) ),
    c_0_214,
    [final] ).

cnf(c_0_304,plain,
    ( precedes(X1,X2)
    | lhs_atom16(X3,X2,X1) ),
    c_0_215,
    [final] ).

cnf(c_0_305,plain,
    ( lhs_atom27(X3,X1)
    | ~ occurrence_of(X1,X2)
    | ~ atomic(X2)
    | ~ subactivity(X3,X2) ),
    c_0_216,
    [final] ).

cnf(c_0_306,plain,
    ( lhs_atom20(X1,X2,X3)
    | ~ atomic(X1) ),
    c_0_217,
    [final] ).

cnf(c_0_307,plain,
    ( lhs_atom32(X2,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(X3,X1) ),
    c_0_218,
    [final] ).

cnf(c_0_308,plain,
    ( lhs_atom6(X2,X3)
    | ~ earlier(X1,X2)
    | ~ earlier(X3,X1) ),
    c_0_219,
    [final] ).

cnf(c_0_309,plain,
    ( lhs_atom3(X2,X3)
    | ~ occurrence_of(X1,X2)
    | ~ occurrence_of(X1,X3) ),
    c_0_220,
    [final] ).

cnf(c_0_310,plain,
    ( arboreal(X1)
    | lhs_atom45(X2,X3,X1) ),
    c_0_221,
    [final] ).

cnf(c_0_311,plain,
    ( lhs_atom44(X1,X2,X3)
    | arboreal(X3) ),
    c_0_222,
    [final] ).

cnf(c_0_312,plain,
    ( lhs_atom44(X1,X2,X3)
    | arboreal(X2) ),
    c_0_223,
    [final] ).

cnf(c_0_313,plain,
    ( lhs_atom35(X1,X2)
    | occurrence_of(X1,esk12_2(X1,X2)) ),
    c_0_224,
    [final] ).

cnf(c_0_314,plain,
    ( lhs_atom35(X1,X2)
    | leaf(X2,esk12_2(X1,X2)) ),
    c_0_225,
    [final] ).

cnf(c_0_315,plain,
    ( lhs_atom33(X1,X2)
    | occurrence_of(X2,esk11_2(X1,X2)) ),
    c_0_226,
    [final] ).

cnf(c_0_316,plain,
    ( lhs_atom33(X1,X2)
    | root(X1,esk11_2(X1,X2)) ),
    c_0_227,
    [final] ).

cnf(c_0_317,plain,
    ( lhs_atom26(X1,X2)
    | subactivity(X1,esk9_2(X1,X2)) ),
    c_0_228,
    [final] ).

cnf(c_0_318,plain,
    ( lhs_atom26(X1,X2)
    | occurrence_of(X2,esk9_2(X1,X2)) ),
    c_0_229,
    [final] ).

cnf(c_0_319,plain,
    ( lhs_atom13(X1,X2)
    | subactivity(esk4_2(X1,X2),X2) ),
    c_0_230,
    [final] ).

cnf(c_0_320,plain,
    ( lhs_atom13(X1,X2)
    | atocc(X1,esk4_2(X1,X2)) ),
    c_0_231,
    [final] ).

cnf(c_0_321,plain,
    ( lhs_atom26(X1,X2)
    | atomic(esk9_2(X1,X2)) ),
    c_0_232,
    [final] ).

cnf(c_0_322,plain,
    ( lhs_atom18(X2,X1)
    | ~ legal(X1)
    | ~ atocc(X1,X2) ),
    c_0_233,
    [final] ).

cnf(c_0_323,plain,
    ( lhs_atom11(X1,X2)
    | ~ legal(X1)
    | ~ earlier(X2,X1) ),
    c_0_234,
    [final] ).

cnf(c_0_324,plain,
    ( lhs_atom48(X1)
    | occurrence_of(esk15_1(X1),tptp2)
    | occurrence_of(esk15_1(X1),tptp1) ),
    c_0_235,
    [final] ).

cnf(c_0_325,plain,
    ( lhs_atom5(X1,X2)
    | ~ earlier(X1,X2) ),
    c_0_236,
    [final] ).

cnf(c_0_326,plain,
    ( lhs_atom9(X1)
    | ~ earlier(X1,X2)
    | ~ legal(X2) ),
    c_0_237,
    [final] ).

cnf(c_0_327,plain,
    ( lhs_atom35(X1,X2)
    | subactivity_occurrence(X2,X1) ),
    c_0_238,
    [final] ).

cnf(c_0_328,plain,
    ( lhs_atom33(X1,X2)
    | subactivity_occurrence(X1,X2) ),
    c_0_239,
    [final] ).

cnf(c_0_329,plain,
    ( lhs_atom10(X1,X2)
    | earlier(X2,X1) ),
    c_0_240,
    [final] ).

cnf(c_0_330,plain,
    ( lhs_atom7(X1,X2)
    | atomic(X1)
    | ~ arboreal(X2) ),
    c_0_241,
    [final] ).

cnf(c_0_331,plain,
    ( lhs_atom7(X1,X2)
    | arboreal(X2)
    | ~ atomic(X1) ),
    c_0_242,
    [final] ).

cnf(c_0_332,plain,
    ( lhs_atom48(X1)
    | root_occ(esk13_1(X1),X1) ),
    c_0_243,
    [final] ).

cnf(c_0_333,plain,
    ( lhs_atom48(X1)
    | leaf_occ(esk15_1(X1),X1) ),
    c_0_244,
    [final] ).

cnf(c_0_334,plain,
    ( lhs_atom2(X1)
    | occurrence_of(X1,esk1_1(X1)) ),
    c_0_245,
    [final] ).

cnf(c_0_335,plain,
    ( lhs_atom48(X1)
    | occurrence_of(esk13_1(X1),tptp3) ),
    c_0_246,
    [final] ).

cnf(c_0_336,plain,
    ( lhs_atom48(X1)
    | occurrence_of(esk14_1(X1),tptp4) ),
    c_0_247,
    [final] ).

cnf(c_0_337,plain,
    ( lhs_atom28(X1,X2)
    | activity_occurrence(X2) ),
    c_0_248,
    [final] ).

cnf(c_0_338,plain,
    ( lhs_atom28(X1,X2)
    | activity_occurrence(X1) ),
    c_0_249,
    [final] ).

cnf(c_0_339,plain,
    ( legal(X1)
    | lhs_atom17(X2,X1) ),
    c_0_250,
    [final] ).

cnf(c_0_340,plain,
    ( lhs_atom10(X1,X2)
    | legal(X1) ),
    c_0_251,
    [final] ).

cnf(c_0_341,plain,
    ( subactivity(X1,X1)
    | lhs_atom4(X1) ),
    c_0_252,
    [final] ).

cnf(c_0_342,plain,
    ( lhs_atom1(X1,X2)
    | activity(X2) ),
    c_0_253,
    [final] ).

cnf(c_0_343,plain,
    ( lhs_atom1(X1,X2)
    | activity_occurrence(X1) ),
    c_0_254,
    [final] ).

cnf(c_0_344,plain,
    ( lhs_atom2(X1)
    | activity(esk1_1(X1)) ),
    c_0_255,
    [final] ).

cnf(c_0_345,plain,
    ( arboreal(X1)
    | lhs_atom8(X1) ),
    c_0_256,
    [final] ).

cnf(c_0_346,plain,
    lhs_atom60,
    c_0_257,
    [final] ).

cnf(c_0_347,plain,
    lhs_atom59,
    c_0_258,
    [final] ).

cnf(c_0_348,plain,
    lhs_atom58,
    c_0_259,
    [final] ).

cnf(c_0_349,plain,
    lhs_atom57,
    c_0_260,
    [final] ).

cnf(c_0_350,plain,
    lhs_atom56,
    c_0_261,
    [final] ).

cnf(c_0_351,plain,
    lhs_atom55,
    c_0_262,
    [final] ).

cnf(c_0_352,plain,
    lhs_atom54,
    c_0_263,
    [final] ).

cnf(c_0_353,plain,
    lhs_atom53,
    c_0_264,
    [final] ).

cnf(c_0_354,plain,
    lhs_atom52,
    c_0_265,
    [final] ).

cnf(c_0_355,plain,
    lhs_atom51,
    c_0_266,
    [final] ).

cnf(c_0_356,plain,
    lhs_atom50,
    c_0_267,
    [final] ).

cnf(c_0_357,plain,
    lhs_atom49,
    c_0_268,
    [final] ).

% End CNF derivation
cnf(c_0_269_0,axiom,
    ( next_subocc(X3,X2,X1)
    | min_precedes(X3,sk1_esk8_3(X1,X2,X3),X1)
    | ~ min_precedes(X3,X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_269,def_lhs_atom25]) ).

cnf(c_0_270_0,axiom,
    ( next_subocc(X3,X2,X1)
    | min_precedes(sk1_esk8_3(X1,X2,X3),X2,X1)
    | ~ min_precedes(X3,X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_270,def_lhs_atom25]) ).

cnf(c_0_271_0,axiom,
    ( X1 = X3
    | ~ subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(X3,X2)
    | ~ occurrence_of(X2,X4)
    | ~ next_subocc(X5,X3,X4)
    | ~ next_subocc(X5,X1,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_271,def_lhs_atom39]) ).

cnf(c_0_272_0,axiom,
    ( min_precedes(X1,X2,X4)
    | ~ precedes(X1,X2)
    | ~ min_precedes(X2,X3,X4)
    | ~ min_precedes(X1,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_272,def_lhs_atom21]) ).

cnf(c_0_273_0,axiom,
    ( min_precedes(X1,X2,X4)
    | ~ precedes(X1,X2)
    | ~ min_precedes(X3,X2,X4)
    | ~ min_precedes(X3,X1,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_273,def_lhs_atom19]) ).

cnf(c_0_274_0,axiom,
    ( min_precedes(X1,X2,X4)
    | X1 = X2
    | ~ min_precedes(X3,X1,X4)
    | ~ subactivity_occurrence(X1,X5)
    | ~ leaf_occ(X2,X5)
    | ~ root_occ(X3,X5)
    | ~ occurrence_of(X5,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_274,def_lhs_atom47]) ).

cnf(c_0_275_0,axiom,
    ( min_precedes(X2,X1,X4)
    | X1 = X2
    | ~ min_precedes(X1,X3,X4)
    | ~ subactivity_occurrence(X1,X5)
    | ~ leaf_occ(X3,X5)
    | ~ root_occ(X2,X5)
    | ~ occurrence_of(X5,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_275,def_lhs_atom46]) ).

cnf(c_0_276_0,axiom,
    ( ~ next_subocc(X3,X2,X1)
    | ~ min_precedes(X4,X2,X1)
    | ~ min_precedes(X3,X4,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_276,def_lhs_atom24]) ).

cnf(c_0_277_0,axiom,
    ( X4 = X1
    | ~ next_subocc(X1,X2,X3)
    | ~ next_subocc(X4,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_277,def_lhs_atom40]) ).

cnf(c_0_278_0,axiom,
    ( leaf(X2,X1)
    | min_precedes(X2,sk1_esk7_2(X1,X2),X1)
    | ~ min_precedes(X3,X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_278,def_lhs_atom23]) ).

cnf(c_0_279_0,axiom,
    ( ~ min_precedes(X2,X1,X3)
    | occurrence_of(sk1_esk10_3(X1,X2,X3),X3) ),
    inference(unfold_definition,[status(thm)],[c_0_279,def_lhs_atom29]) ).

cnf(c_0_280_0,axiom,
    ( ~ min_precedes(X2,X1,X3)
    | subactivity_occurrence(X2,sk1_esk10_3(X1,X2,X3)) ),
    inference(unfold_definition,[status(thm)],[c_0_280,def_lhs_atom29]) ).

cnf(c_0_281_0,axiom,
    ( ~ min_precedes(X2,X1,X3)
    | subactivity_occurrence(X1,sk1_esk10_3(X1,X2,X3)) ),
    inference(unfold_definition,[status(thm)],[c_0_281,def_lhs_atom29]) ).

cnf(c_0_282_0,axiom,
    ( ~ min_precedes(X2,X1,X3)
    | subactivity(sk1_esk2_3(X1,X2,X3),X3) ),
    inference(unfold_definition,[status(thm)],[c_0_282,def_lhs_atom12]) ).

cnf(c_0_283_0,axiom,
    ( ~ min_precedes(X2,X1,X3)
    | subactivity(sk1_esk3_3(X1,X2,X3),X3) ),
    inference(unfold_definition,[status(thm)],[c_0_283,def_lhs_atom12]) ).

cnf(c_0_284_0,axiom,
    ( ~ min_precedes(X2,X1,X3)
    | atocc(X2,sk1_esk2_3(X1,X2,X3)) ),
    inference(unfold_definition,[status(thm)],[c_0_284,def_lhs_atom12]) ).

cnf(c_0_285_0,axiom,
    ( ~ min_precedes(X2,X1,X3)
    | atocc(X1,sk1_esk3_3(X1,X2,X3)) ),
    inference(unfold_definition,[status(thm)],[c_0_285,def_lhs_atom12]) ).

cnf(c_0_286_0,axiom,
    ( subactivity_occurrence(X4,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ min_precedes(X4,X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_286,def_lhs_atom30]) ).

cnf(c_0_287_0,axiom,
    ( X2 = X1
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X1)
    | ~ leaf_occ(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_287,def_lhs_atom43]) ).

cnf(c_0_288_0,axiom,
    ( X1 = X2
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X2)
    | ~ root_occ(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_288,def_lhs_atom42]) ).

cnf(c_0_289_0,axiom,
    ( ~ min_precedes(X3,X2,X1)
    | min_precedes(sk1_esk5_2(X1,X2),X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_289,def_lhs_atom14]) ).

cnf(c_0_290_0,axiom,
    ( min_precedes(X2,X1,X4)
    | X1 = X2
    | ~ root_occ(X2,X3)
    | ~ leaf_occ(X1,X3)
    | ~ occurrence_of(X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_290,def_lhs_atom41]) ).

cnf(c_0_291_0,axiom,
    ( leaf(X2,X1)
    | min_precedes(X2,sk1_esk7_2(X1,X2),X1)
    | ~ root(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_291,def_lhs_atom23]) ).

cnf(c_0_292_0,axiom,
    ( ~ next_subocc(X3,X2,X1)
    | min_precedes(X3,X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_292,def_lhs_atom24]) ).

cnf(c_0_293_0,axiom,
    ( ~ leaf(X2,X1)
    | min_precedes(sk1_esk6_2(X1,X2),X2,X1)
    | root(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_293,def_lhs_atom22]) ).

cnf(c_0_294_0,axiom,
    ( ~ leaf(X2,X1)
    | ~ min_precedes(X2,X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_294,def_lhs_atom22]) ).

cnf(c_0_295_0,axiom,
    ( ~ min_precedes(X3,X2,X1)
    | root(sk1_esk5_2(X1,X2),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_295,def_lhs_atom14]) ).

cnf(c_0_296_0,axiom,
    ( X3 = X1
    | atomic(X4)
    | ~ leaf_occ(X1,X2)
    | ~ leaf_occ(X3,X2)
    | ~ occurrence_of(X2,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_296,def_lhs_atom38]) ).

cnf(c_0_297_0,axiom,
    ( subactivity(X3,X4)
    | atomic(X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_297,def_lhs_atom31]) ).

cnf(c_0_298_0,axiom,
    ( X3 = X1
    | ~ root_occ(X1,X2)
    | ~ root_occ(X3,X2)
    | ~ occurrence_of(X2,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_298,def_lhs_atom37]) ).

cnf(c_0_299_0,axiom,
    ( leaf_occ(X1,X3)
    | ~ leaf(X1,X2)
    | ~ subactivity_occurrence(X1,X3)
    | ~ occurrence_of(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_299,def_lhs_atom36]) ).

cnf(c_0_300_0,axiom,
    ( root_occ(X1,X3)
    | ~ root(X1,X2)
    | ~ subactivity_occurrence(X1,X3)
    | ~ occurrence_of(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_300,def_lhs_atom34]) ).

cnf(c_0_301_0,axiom,
    ( ~ min_precedes(X3,X1,X2)
    | ~ root(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_301,def_lhs_atom15]) ).

cnf(c_0_302_0,axiom,
    ( ~ occurrence_of(X1,tptp0)
    | next_subocc(sk1_esk13_1(X1),sk1_esk14_1(X1),tptp0) ),
    inference(unfold_definition,[status(thm)],[c_0_302,def_lhs_atom48]) ).

cnf(c_0_303_0,axiom,
    ( ~ occurrence_of(X1,tptp0)
    | next_subocc(sk1_esk14_1(X1),sk1_esk15_1(X1),tptp0) ),
    inference(unfold_definition,[status(thm)],[c_0_303,def_lhs_atom48]) ).

cnf(c_0_304_0,axiom,
    ( ~ min_precedes(X1,X2,X3)
    | precedes(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_304,def_lhs_atom16]) ).

cnf(c_0_305_0,axiom,
    ( atocc(X1,X3)
    | ~ occurrence_of(X1,X2)
    | ~ atomic(X2)
    | ~ subactivity(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_305,def_lhs_atom27]) ).

cnf(c_0_306_0,axiom,
    ( ~ min_precedes(X3,X2,X1)
    | ~ atomic(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_306,def_lhs_atom20]) ).

cnf(c_0_307_0,axiom,
    ( subactivity_occurrence(X3,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_307,def_lhs_atom32]) ).

cnf(c_0_308_0,axiom,
    ( earlier(X3,X2)
    | ~ earlier(X1,X2)
    | ~ earlier(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_308,def_lhs_atom6]) ).

cnf(c_0_309_0,axiom,
    ( X3 = X2
    | ~ occurrence_of(X1,X2)
    | ~ occurrence_of(X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_309,def_lhs_atom3]) ).

cnf(c_0_310_0,axiom,
    ( ~ min_precedes(X1,X3,X2)
    | arboreal(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_310,def_lhs_atom45]) ).

cnf(c_0_311_0,axiom,
    ( ~ next_subocc(X3,X2,X1)
    | arboreal(X3) ),
    inference(unfold_definition,[status(thm)],[c_0_311,def_lhs_atom44]) ).

cnf(c_0_312_0,axiom,
    ( ~ next_subocc(X3,X2,X1)
    | arboreal(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_312,def_lhs_atom44]) ).

cnf(c_0_313_0,axiom,
    ( ~ leaf_occ(X2,X1)
    | occurrence_of(X1,sk1_esk12_2(X1,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_313,def_lhs_atom35]) ).

cnf(c_0_314_0,axiom,
    ( ~ leaf_occ(X2,X1)
    | leaf(X2,sk1_esk12_2(X1,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_314,def_lhs_atom35]) ).

cnf(c_0_315_0,axiom,
    ( ~ root_occ(X1,X2)
    | occurrence_of(X2,sk1_esk11_2(X1,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_315,def_lhs_atom33]) ).

cnf(c_0_316_0,axiom,
    ( ~ root_occ(X1,X2)
    | root(X1,sk1_esk11_2(X1,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_316,def_lhs_atom33]) ).

cnf(c_0_317_0,axiom,
    ( ~ atocc(X2,X1)
    | subactivity(X1,sk1_esk9_2(X1,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_317,def_lhs_atom26]) ).

cnf(c_0_318_0,axiom,
    ( ~ atocc(X2,X1)
    | occurrence_of(X2,sk1_esk9_2(X1,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_318,def_lhs_atom26]) ).

cnf(c_0_319_0,axiom,
    ( ~ root(X1,X2)
    | subactivity(sk1_esk4_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_319,def_lhs_atom13]) ).

cnf(c_0_320_0,axiom,
    ( ~ root(X1,X2)
    | atocc(X1,sk1_esk4_2(X1,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_320,def_lhs_atom13]) ).

cnf(c_0_321_0,axiom,
    ( ~ atocc(X2,X1)
    | atomic(sk1_esk9_2(X1,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_321,def_lhs_atom26]) ).

cnf(c_0_322_0,axiom,
    ( root(X1,X2)
    | ~ legal(X1)
    | ~ atocc(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_322,def_lhs_atom18]) ).

cnf(c_0_323_0,axiom,
    ( precedes(X2,X1)
    | ~ legal(X1)
    | ~ earlier(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_323,def_lhs_atom11]) ).

cnf(c_0_324_0,axiom,
    ( ~ occurrence_of(X1,tptp0)
    | occurrence_of(sk1_esk15_1(X1),tptp2)
    | occurrence_of(sk1_esk15_1(X1),tptp1) ),
    inference(unfold_definition,[status(thm)],[c_0_324,def_lhs_atom48]) ).

cnf(c_0_325_0,axiom,
    ( ~ earlier(X2,X1)
    | ~ earlier(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_325,def_lhs_atom5]) ).

cnf(c_0_326_0,axiom,
    ( legal(X1)
    | ~ earlier(X1,X2)
    | ~ legal(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_326,def_lhs_atom9]) ).

cnf(c_0_327_0,axiom,
    ( ~ leaf_occ(X2,X1)
    | subactivity_occurrence(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_327,def_lhs_atom35]) ).

cnf(c_0_328_0,axiom,
    ( ~ root_occ(X1,X2)
    | subactivity_occurrence(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_328,def_lhs_atom33]) ).

cnf(c_0_329_0,axiom,
    ( ~ precedes(X2,X1)
    | earlier(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_329,def_lhs_atom10]) ).

cnf(c_0_330_0,axiom,
    ( ~ occurrence_of(X2,X1)
    | atomic(X1)
    | ~ arboreal(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_330,def_lhs_atom7]) ).

cnf(c_0_331_0,axiom,
    ( ~ occurrence_of(X2,X1)
    | arboreal(X2)
    | ~ atomic(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_331,def_lhs_atom7]) ).

cnf(c_0_332_0,axiom,
    ( ~ occurrence_of(X1,tptp0)
    | root_occ(sk1_esk13_1(X1),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_332,def_lhs_atom48]) ).

cnf(c_0_333_0,axiom,
    ( ~ occurrence_of(X1,tptp0)
    | leaf_occ(sk1_esk15_1(X1),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_333,def_lhs_atom48]) ).

cnf(c_0_334_0,axiom,
    ( ~ activity_occurrence(X1)
    | occurrence_of(X1,sk1_esk1_1(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_334,def_lhs_atom2]) ).

cnf(c_0_335_0,axiom,
    ( ~ occurrence_of(X1,tptp0)
    | occurrence_of(sk1_esk13_1(X1),tptp3) ),
    inference(unfold_definition,[status(thm)],[c_0_335,def_lhs_atom48]) ).

cnf(c_0_336_0,axiom,
    ( ~ occurrence_of(X1,tptp0)
    | occurrence_of(sk1_esk14_1(X1),tptp4) ),
    inference(unfold_definition,[status(thm)],[c_0_336,def_lhs_atom48]) ).

cnf(c_0_337_0,axiom,
    ( ~ subactivity_occurrence(X2,X1)
    | activity_occurrence(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_337,def_lhs_atom28]) ).

cnf(c_0_338_0,axiom,
    ( ~ subactivity_occurrence(X2,X1)
    | activity_occurrence(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_338,def_lhs_atom28]) ).

cnf(c_0_339_0,axiom,
    ( ~ root(X1,X2)
    | legal(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_339,def_lhs_atom17]) ).

cnf(c_0_340_0,axiom,
    ( ~ precedes(X2,X1)
    | legal(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_340,def_lhs_atom10]) ).

cnf(c_0_341_0,axiom,
    ( ~ activity(X1)
    | subactivity(X1,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_341,def_lhs_atom4]) ).

cnf(c_0_342_0,axiom,
    ( ~ occurrence_of(X1,X2)
    | activity(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_342,def_lhs_atom1]) ).

cnf(c_0_343_0,axiom,
    ( ~ occurrence_of(X1,X2)
    | activity_occurrence(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_343,def_lhs_atom1]) ).

cnf(c_0_344_0,axiom,
    ( ~ activity_occurrence(X1)
    | activity(sk1_esk1_1(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_344,def_lhs_atom2]) ).

cnf(c_0_345_0,axiom,
    ( ~ legal(X1)
    | arboreal(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_345,def_lhs_atom8]) ).

cnf(c_0_346_0,axiom,
    tptp1 != tptp2,
    inference(unfold_definition,[status(thm)],[c_0_346,def_lhs_atom60]) ).

cnf(c_0_347_0,axiom,
    tptp3 != tptp2,
    inference(unfold_definition,[status(thm)],[c_0_347,def_lhs_atom59]) ).

cnf(c_0_348_0,axiom,
    tptp3 != tptp1,
    inference(unfold_definition,[status(thm)],[c_0_348,def_lhs_atom58]) ).

cnf(c_0_349_0,axiom,
    tptp4 != tptp2,
    inference(unfold_definition,[status(thm)],[c_0_349,def_lhs_atom57]) ).

cnf(c_0_350_0,axiom,
    tptp4 != tptp1,
    inference(unfold_definition,[status(thm)],[c_0_350,def_lhs_atom56]) ).

cnf(c_0_351_0,axiom,
    tptp4 != tptp3,
    inference(unfold_definition,[status(thm)],[c_0_351,def_lhs_atom55]) ).

cnf(c_0_352_0,axiom,
    atomic(tptp3),
    inference(unfold_definition,[status(thm)],[c_0_352,def_lhs_atom54]) ).

cnf(c_0_353_0,axiom,
    atomic(tptp2),
    inference(unfold_definition,[status(thm)],[c_0_353,def_lhs_atom53]) ).

cnf(c_0_354_0,axiom,
    atomic(tptp1),
    inference(unfold_definition,[status(thm)],[c_0_354,def_lhs_atom52]) ).

cnf(c_0_355_0,axiom,
    atomic(tptp4),
    inference(unfold_definition,[status(thm)],[c_0_355,def_lhs_atom51]) ).

cnf(c_0_356_0,axiom,
    ~ atomic(tptp0),
    inference(unfold_definition,[status(thm)],[c_0_356,def_lhs_atom50]) ).

cnf(c_0_357_0,axiom,
    activity(tptp0),
    inference(unfold_definition,[status(thm)],[c_0_357,def_lhs_atom49]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X12,X13,X14,X15] :
      ( ( occurrence_of(X14,X12)
        & occurrence_of(X15,X13)
        & subactivity(X12,X13)
        & ~ subactivity_occurrence(X14,X15) )
     => ? [X16] :
          ( subactivity_occurrence(X16,X15)
          & ~ subactivity_occurrence(X16,X14) ) ),
    file('<stdin>',sos_32) ).

fof(c_0_1_002,axiom,
    ! [X17,X18,X19,X20] :
      ( ( occurrence_of(X18,X17)
        & arboreal(X19)
        & arboreal(X20)
        & subactivity_occurrence(X19,X18)
        & subactivity_occurrence(X20,X18) )
     => ( min_precedes(X19,X20,X17)
        | min_precedes(X20,X19,X17)
        | X19 = X20 ) ),
    file('<stdin>',sos_28) ).

fof(c_0_2_003,axiom,
    ! [X8,X9,X10] :
      ( ( occurrence_of(X8,X10)
        & leaf_occ(X9,X8) )
     => ~ ? [X11] : min_precedes(X9,X11,X10) ),
    file('<stdin>',sos_37) ).

fof(c_0_3_004,axiom,
    ! [X4,X5,X6] :
      ( ( occurrence_of(X4,X6)
        & root_occ(X5,X4) )
     => ~ ? [X7] : min_precedes(X7,X5,X6) ),
    file('<stdin>',sos_38) ).

fof(c_0_4_005,axiom,
    ! [X27,X28,X29] :
      ( ( earlier(X27,X28)
        & earlier(X29,X28) )
     => ( earlier(X29,X27)
        | earlier(X27,X29)
        | X27 = X29 ) ),
    file('<stdin>',sos_06) ).

fof(c_0_5_006,axiom,
    ! [X24,X25] :
      ( ( root(X25,X24)
        & ~ atomic(X24) )
     => ? [X26] :
          ( occurrence_of(X26,X24)
          & subactivity_occurrence(X25,X26) ) ),
    file('<stdin>',sos_26) ).

fof(c_0_6_007,axiom,
    ! [X21,X22] :
      ( ( occurrence_of(X22,X21)
        & ~ atomic(X21) )
     => ? [X23] :
          ( root(X23,X21)
          & subactivity_occurrence(X23,X22) ) ),
    file('<stdin>',sos_27) ).

fof(c_0_7_008,axiom,
    ! [X1,X2] :
      ( ( leaf(X1,X2)
        & ~ atomic(X2) )
     => ? [X3] :
          ( occurrence_of(X3,X2)
          & leaf_occ(X1,X3) ) ),
    file('<stdin>',sos_45) ).

fof(c_0_8_009,plain,
    ! [X12,X13,X14,X15] :
      ( ( occurrence_of(X14,X12)
        & occurrence_of(X15,X13)
        & subactivity(X12,X13)
        & ~ subactivity_occurrence(X14,X15) )
     => ? [X16] :
          ( subactivity_occurrence(X16,X15)
          & ~ subactivity_occurrence(X16,X14) ) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_9_010,axiom,
    ! [X17,X18,X19,X20] :
      ( ( occurrence_of(X18,X17)
        & arboreal(X19)
        & arboreal(X20)
        & subactivity_occurrence(X19,X18)
        & subactivity_occurrence(X20,X18) )
     => ( min_precedes(X19,X20,X17)
        | min_precedes(X20,X19,X17)
        | X19 = X20 ) ),
    c_0_1 ).

fof(c_0_10_011,axiom,
    ! [X8,X9,X10] :
      ( ( occurrence_of(X8,X10)
        & leaf_occ(X9,X8) )
     => ~ ? [X11] : min_precedes(X9,X11,X10) ),
    c_0_2 ).

fof(c_0_11_012,axiom,
    ! [X4,X5,X6] :
      ( ( occurrence_of(X4,X6)
        & root_occ(X5,X4) )
     => ~ ? [X7] : min_precedes(X7,X5,X6) ),
    c_0_3 ).

fof(c_0_12_013,axiom,
    ! [X27,X28,X29] :
      ( ( earlier(X27,X28)
        & earlier(X29,X28) )
     => ( earlier(X29,X27)
        | earlier(X27,X29)
        | X27 = X29 ) ),
    c_0_4 ).

fof(c_0_13_014,plain,
    ! [X24,X25] :
      ( ( root(X25,X24)
        & ~ atomic(X24) )
     => ? [X26] :
          ( occurrence_of(X26,X24)
          & subactivity_occurrence(X25,X26) ) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_14_015,plain,
    ! [X21,X22] :
      ( ( occurrence_of(X22,X21)
        & ~ atomic(X21) )
     => ? [X23] :
          ( root(X23,X21)
          & subactivity_occurrence(X23,X22) ) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_15_016,plain,
    ! [X1,X2] :
      ( ( leaf(X1,X2)
        & ~ atomic(X2) )
     => ? [X3] :
          ( occurrence_of(X3,X2)
          & leaf_occ(X1,X3) ) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_16_017,plain,
    ! [X17,X18,X19,X20] :
      ( ( subactivity_occurrence(esk2_4(X17,X18,X19,X20),X20)
        | ~ occurrence_of(X19,X17)
        | ~ occurrence_of(X20,X18)
        | ~ subactivity(X17,X18)
        | subactivity_occurrence(X19,X20) )
      & ( ~ subactivity_occurrence(esk2_4(X17,X18,X19,X20),X19)
        | ~ occurrence_of(X19,X17)
        | ~ occurrence_of(X20,X18)
        | ~ subactivity(X17,X18)
        | subactivity_occurrence(X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

fof(c_0_17_018,plain,
    ! [X21,X22,X23,X24] :
      ( ~ occurrence_of(X22,X21)
      | ~ arboreal(X23)
      | ~ arboreal(X24)
      | ~ subactivity_occurrence(X23,X22)
      | ~ subactivity_occurrence(X24,X22)
      | min_precedes(X23,X24,X21)
      | min_precedes(X24,X23,X21)
      | X23 = X24 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).

fof(c_0_18_019,plain,
    ! [X12,X13,X14,X15] :
      ( ~ occurrence_of(X12,X14)
      | ~ leaf_occ(X13,X12)
      | ~ min_precedes(X13,X15,X14) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

fof(c_0_19_020,plain,
    ! [X8,X9,X10,X11] :
      ( ~ occurrence_of(X8,X10)
      | ~ root_occ(X9,X8)
      | ~ min_precedes(X11,X9,X10) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_20_021,plain,
    ! [X30,X31,X32] :
      ( ~ earlier(X30,X31)
      | ~ earlier(X32,X31)
      | earlier(X32,X30)
      | earlier(X30,X32)
      | X30 = X32 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

fof(c_0_21_022,plain,
    ! [X27,X28] :
      ( ( occurrence_of(esk4_2(X27,X28),X27)
        | ~ root(X28,X27)
        | atomic(X27) )
      & ( subactivity_occurrence(X28,esk4_2(X27,X28))
        | ~ root(X28,X27)
        | atomic(X27) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

fof(c_0_22_023,plain,
    ! [X24,X25] :
      ( ( root(esk3_2(X24,X25),X24)
        | ~ occurrence_of(X25,X24)
        | atomic(X24) )
      & ( subactivity_occurrence(esk3_2(X24,X25),X25)
        | ~ occurrence_of(X25,X24)
        | atomic(X24) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

fof(c_0_23_024,plain,
    ! [X4,X5] :
      ( ( occurrence_of(esk1_2(X4,X5),X5)
        | ~ leaf(X4,X5)
        | atomic(X5) )
      & ( leaf_occ(X4,esk1_2(X4,X5))
        | ~ leaf(X4,X5)
        | atomic(X5) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).

cnf(c_0_24_025,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3)
    | ~ subactivity_occurrence(esk2_4(X3,X4,X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25_026,plain,
    ( subactivity_occurrence(X1,X2)
    | subactivity_occurrence(esk2_4(X3,X4,X1,X2),X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26_027,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | min_precedes(X1,X2,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27_028,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ leaf_occ(X1,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28_029,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ root_occ(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29_030,plain,
    ( X1 = X2
    | earlier(X1,X2)
    | earlier(X2,X1)
    | ~ earlier(X2,X3)
    | ~ earlier(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30_031,plain,
    ( atomic(X1)
    | occurrence_of(esk4_2(X1,X2),X1)
    | ~ root(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31_032,plain,
    ( atomic(X1)
    | subactivity_occurrence(X2,esk4_2(X1,X2))
    | ~ root(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32_033,plain,
    ( atomic(X1)
    | root(esk3_2(X1,X2),X1)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33_034,plain,
    ( atomic(X1)
    | subactivity_occurrence(esk3_2(X1,X2),X2)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34_035,plain,
    ( atomic(X1)
    | occurrence_of(esk1_2(X2,X1),X1)
    | ~ leaf(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_35_036,plain,
    ( atomic(X1)
    | leaf_occ(X2,esk1_2(X2,X1))
    | ~ leaf(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_36_037,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3)
    | ~ subactivity_occurrence(esk2_4(X3,X4,X1,X2),X1) ),
    c_0_24,
    [final] ).

cnf(c_0_37_038,plain,
    ( subactivity_occurrence(X1,X2)
    | subactivity_occurrence(esk2_4(X3,X4,X1,X2),X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    c_0_25,
    [final] ).

cnf(c_0_38_039,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | min_precedes(X1,X2,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    c_0_26,
    [final] ).

cnf(c_0_39_040,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ leaf_occ(X1,X4)
    | ~ occurrence_of(X4,X3) ),
    c_0_27,
    [final] ).

cnf(c_0_40_041,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ root_occ(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    c_0_28,
    [final] ).

cnf(c_0_41_042,plain,
    ( X1 = X2
    | earlier(X1,X2)
    | earlier(X2,X1)
    | ~ earlier(X2,X3)
    | ~ earlier(X1,X3) ),
    c_0_29,
    [final] ).

cnf(c_0_42_043,plain,
    ( atomic(X1)
    | occurrence_of(esk4_2(X1,X2),X1)
    | ~ root(X2,X1) ),
    c_0_30,
    [final] ).

cnf(c_0_43_044,plain,
    ( atomic(X1)
    | subactivity_occurrence(X2,esk4_2(X1,X2))
    | ~ root(X2,X1) ),
    c_0_31,
    [final] ).

cnf(c_0_44_045,plain,
    ( atomic(X1)
    | root(esk3_2(X1,X2),X1)
    | ~ occurrence_of(X2,X1) ),
    c_0_32,
    [final] ).

cnf(c_0_45_046,plain,
    ( atomic(X1)
    | subactivity_occurrence(esk3_2(X1,X2),X2)
    | ~ occurrence_of(X2,X1) ),
    c_0_33,
    [final] ).

cnf(c_0_46_047,plain,
    ( atomic(X1)
    | occurrence_of(esk1_2(X2,X1),X1)
    | ~ leaf(X2,X1) ),
    c_0_34,
    [final] ).

cnf(c_0_47_048,plain,
    ( atomic(X1)
    | leaf_occ(X2,esk1_2(X2,X1))
    | ~ leaf(X2,X1) ),
    c_0_35,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_36_0,axiom,
    ( subactivity_occurrence(X1,X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3)
    | ~ subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_1,axiom,
    ( ~ subactivity(X3,X4)
    | subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3)
    | ~ subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_2,axiom,
    ( ~ occurrence_of(X2,X4)
    | ~ subactivity(X3,X4)
    | subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X1,X3)
    | ~ subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_3,axiom,
    ( ~ occurrence_of(X1,X3)
    | ~ occurrence_of(X2,X4)
    | ~ subactivity(X3,X4)
    | subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_4,axiom,
    ( ~ subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X1)
    | ~ occurrence_of(X1,X3)
    | ~ occurrence_of(X2,X4)
    | ~ subactivity(X3,X4)
    | subactivity_occurrence(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_37_0,axiom,
    ( subactivity_occurrence(X1,X2)
    | subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_1,axiom,
    ( subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X2)
    | subactivity_occurrence(X1,X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_2,axiom,
    ( ~ subactivity(X3,X4)
    | subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X2)
    | subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_3,axiom,
    ( ~ occurrence_of(X2,X4)
    | ~ subactivity(X3,X4)
    | subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X2)
    | subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_4,axiom,
    ( ~ occurrence_of(X1,X3)
    | ~ occurrence_of(X2,X4)
    | ~ subactivity(X3,X4)
    | subactivity_occurrence(sk2_esk2_4(X3,X4,X1,X2),X2)
    | subactivity_occurrence(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_38_0,axiom,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | min_precedes(X1,X2,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_1,axiom,
    ( min_precedes(X2,X1,X3)
    | X1 = X2
    | min_precedes(X1,X2,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_2,axiom,
    ( min_precedes(X1,X2,X3)
    | min_precedes(X2,X1,X3)
    | X1 = X2
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_3,axiom,
    ( ~ subactivity_occurrence(X2,X4)
    | min_precedes(X1,X2,X3)
    | min_precedes(X2,X1,X3)
    | X1 = X2
    | ~ subactivity_occurrence(X1,X4)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_4,axiom,
    ( ~ subactivity_occurrence(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | min_precedes(X1,X2,X3)
    | min_precedes(X2,X1,X3)
    | X1 = X2
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_5,axiom,
    ( ~ arboreal(X2)
    | ~ subactivity_occurrence(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | min_precedes(X1,X2,X3)
    | min_precedes(X2,X1,X3)
    | X1 = X2
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_6,axiom,
    ( ~ arboreal(X1)
    | ~ arboreal(X2)
    | ~ subactivity_occurrence(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | min_precedes(X1,X2,X3)
    | min_precedes(X2,X1,X3)
    | X1 = X2
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_7,axiom,
    ( ~ occurrence_of(X4,X3)
    | ~ arboreal(X1)
    | ~ arboreal(X2)
    | ~ subactivity_occurrence(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | min_precedes(X1,X2,X3)
    | min_precedes(X2,X1,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_39_0,axiom,
    ( ~ min_precedes(X1,X2,X3)
    | ~ leaf_occ(X1,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_39_1,axiom,
    ( ~ leaf_occ(X1,X4)
    | ~ min_precedes(X1,X2,X3)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_39_2,axiom,
    ( ~ occurrence_of(X4,X3)
    | ~ leaf_occ(X1,X4)
    | ~ min_precedes(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_40_0,axiom,
    ( ~ min_precedes(X1,X2,X3)
    | ~ root_occ(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_1,axiom,
    ( ~ root_occ(X2,X4)
    | ~ min_precedes(X1,X2,X3)
    | ~ occurrence_of(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_2,axiom,
    ( ~ occurrence_of(X4,X3)
    | ~ root_occ(X2,X4)
    | ~ min_precedes(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_41_0,axiom,
    ( X1 = X2
    | earlier(X1,X2)
    | earlier(X2,X1)
    | ~ earlier(X2,X3)
    | ~ earlier(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_1,axiom,
    ( earlier(X1,X2)
    | X1 = X2
    | earlier(X2,X1)
    | ~ earlier(X2,X3)
    | ~ earlier(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_2,axiom,
    ( earlier(X2,X1)
    | earlier(X1,X2)
    | X1 = X2
    | ~ earlier(X2,X3)
    | ~ earlier(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_3,axiom,
    ( ~ earlier(X2,X3)
    | earlier(X2,X1)
    | earlier(X1,X2)
    | X1 = X2
    | ~ earlier(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_4,axiom,
    ( ~ earlier(X1,X3)
    | ~ earlier(X2,X3)
    | earlier(X2,X1)
    | earlier(X1,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_42_0,axiom,
    ( atomic(X1)
    | occurrence_of(sk2_esk4_2(X1,X2),X1)
    | ~ root(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_42_1,axiom,
    ( occurrence_of(sk2_esk4_2(X1,X2),X1)
    | atomic(X1)
    | ~ root(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_42_2,axiom,
    ( ~ root(X2,X1)
    | occurrence_of(sk2_esk4_2(X1,X2),X1)
    | atomic(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_43_0,axiom,
    ( atomic(X1)
    | subactivity_occurrence(X2,sk2_esk4_2(X1,X2))
    | ~ root(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_43_1,axiom,
    ( subactivity_occurrence(X2,sk2_esk4_2(X1,X2))
    | atomic(X1)
    | ~ root(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_43_2,axiom,
    ( ~ root(X2,X1)
    | subactivity_occurrence(X2,sk2_esk4_2(X1,X2))
    | atomic(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_44_0,axiom,
    ( atomic(X1)
    | root(sk2_esk3_2(X1,X2),X1)
    | ~ occurrence_of(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_1,axiom,
    ( root(sk2_esk3_2(X1,X2),X1)
    | atomic(X1)
    | ~ occurrence_of(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_2,axiom,
    ( ~ occurrence_of(X2,X1)
    | root(sk2_esk3_2(X1,X2),X1)
    | atomic(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_45_0,axiom,
    ( atomic(X1)
    | subactivity_occurrence(sk2_esk3_2(X1,X2),X2)
    | ~ occurrence_of(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_1,axiom,
    ( subactivity_occurrence(sk2_esk3_2(X1,X2),X2)
    | atomic(X1)
    | ~ occurrence_of(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_2,axiom,
    ( ~ occurrence_of(X2,X1)
    | subactivity_occurrence(sk2_esk3_2(X1,X2),X2)
    | atomic(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_46_0,axiom,
    ( atomic(X1)
    | occurrence_of(sk2_esk1_2(X2,X1),X1)
    | ~ leaf(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_1,axiom,
    ( occurrence_of(sk2_esk1_2(X2,X1),X1)
    | atomic(X1)
    | ~ leaf(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_2,axiom,
    ( ~ leaf(X2,X1)
    | occurrence_of(sk2_esk1_2(X2,X1),X1)
    | atomic(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_47_0,axiom,
    ( atomic(X1)
    | leaf_occ(X2,sk2_esk1_2(X2,X1))
    | ~ leaf(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_1,axiom,
    ( leaf_occ(X2,sk2_esk1_2(X2,X1))
    | atomic(X1)
    | ~ leaf(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_2,axiom,
    ( ~ leaf(X2,X1)
    | leaf_occ(X2,sk2_esk1_2(X2,X1))
    | atomic(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_049,conjecture,
    ! [X1] :
      ( occurrence_of(X1,tptp0)
     => ? [X2,X3] :
          ( leaf_occ(X3,X1)
          & ( occurrence_of(X3,tptp1)
           => ~ ? [X4] :
                  ( occurrence_of(X4,tptp2)
                  & min_precedes(X2,X4,tptp0) ) )
          & ( occurrence_of(X3,tptp2)
           => ~ ? [X5] :
                  ( occurrence_of(X5,tptp1)
                  & min_precedes(X2,X5,tptp0) ) ) ) ),
    file('<stdin>',goals) ).

fof(c_0_1_050,negated_conjecture,
    ~ ! [X1] :
        ( occurrence_of(X1,tptp0)
       => ? [X2,X3] :
            ( leaf_occ(X3,X1)
            & ( occurrence_of(X3,tptp1)
             => ~ ? [X4] :
                    ( occurrence_of(X4,tptp2)
                    & min_precedes(X2,X4,tptp0) ) )
            & ( occurrence_of(X3,tptp2)
             => ~ ? [X5] :
                    ( occurrence_of(X5,tptp1)
                    & min_precedes(X2,X5,tptp0) ) ) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_051,negated_conjecture,
    ! [X7,X8] :
      ( occurrence_of(esk1_0,tptp0)
      & ( occurrence_of(X8,tptp2)
        | occurrence_of(X8,tptp1)
        | ~ leaf_occ(X8,esk1_0) )
      & ( occurrence_of(esk3_2(X7,X8),tptp1)
        | occurrence_of(X8,tptp1)
        | ~ leaf_occ(X8,esk1_0) )
      & ( min_precedes(X7,esk3_2(X7,X8),tptp0)
        | occurrence_of(X8,tptp1)
        | ~ leaf_occ(X8,esk1_0) )
      & ( occurrence_of(X8,tptp2)
        | occurrence_of(esk2_2(X7,X8),tptp2)
        | ~ leaf_occ(X8,esk1_0) )
      & ( occurrence_of(esk3_2(X7,X8),tptp1)
        | occurrence_of(esk2_2(X7,X8),tptp2)
        | ~ leaf_occ(X8,esk1_0) )
      & ( min_precedes(X7,esk3_2(X7,X8),tptp0)
        | occurrence_of(esk2_2(X7,X8),tptp2)
        | ~ leaf_occ(X8,esk1_0) )
      & ( occurrence_of(X8,tptp2)
        | min_precedes(X7,esk2_2(X7,X8),tptp0)
        | ~ leaf_occ(X8,esk1_0) )
      & ( occurrence_of(esk3_2(X7,X8),tptp1)
        | min_precedes(X7,esk2_2(X7,X8),tptp0)
        | ~ leaf_occ(X8,esk1_0) )
      & ( min_precedes(X7,esk3_2(X7,X8),tptp0)
        | min_precedes(X7,esk2_2(X7,X8),tptp0)
        | ~ leaf_occ(X8,esk1_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3_052,negated_conjecture,
    ( min_precedes(X2,esk2_2(X2,X1),tptp0)
    | min_precedes(X2,esk3_2(X2,X1),tptp0)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_053,negated_conjecture,
    ( occurrence_of(esk2_2(X2,X1),tptp2)
    | min_precedes(X2,esk3_2(X2,X1),tptp0)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_054,negated_conjecture,
    ( min_precedes(X2,esk2_2(X2,X1),tptp0)
    | occurrence_of(esk3_2(X2,X1),tptp1)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_055,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | min_precedes(X2,esk3_2(X2,X1),tptp0)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_056,negated_conjecture,
    ( min_precedes(X2,esk2_2(X2,X1),tptp0)
    | occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_057,negated_conjecture,
    ( occurrence_of(esk2_2(X2,X1),tptp2)
    | occurrence_of(esk3_2(X2,X1),tptp1)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9_058,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | occurrence_of(esk3_2(X2,X1),tptp1)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10_059,negated_conjecture,
    ( occurrence_of(esk2_2(X2,X1),tptp2)
    | occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11_060,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12_061,negated_conjecture,
    occurrence_of(esk1_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13_062,negated_conjecture,
    ( min_precedes(X2,esk2_2(X2,X1),tptp0)
    | min_precedes(X2,esk3_2(X2,X1),tptp0)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_3,
    [final] ).

cnf(c_0_14_063,negated_conjecture,
    ( occurrence_of(esk2_2(X2,X1),tptp2)
    | min_precedes(X2,esk3_2(X2,X1),tptp0)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_4,
    [final] ).

cnf(c_0_15_064,negated_conjecture,
    ( min_precedes(X2,esk2_2(X2,X1),tptp0)
    | occurrence_of(esk3_2(X2,X1),tptp1)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_5,
    [final] ).

cnf(c_0_16_065,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | min_precedes(X2,esk3_2(X2,X1),tptp0)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_6,
    [final] ).

cnf(c_0_17_066,negated_conjecture,
    ( min_precedes(X2,esk2_2(X2,X1),tptp0)
    | occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_7,
    [final] ).

cnf(c_0_18_067,negated_conjecture,
    ( occurrence_of(esk2_2(X2,X1),tptp2)
    | occurrence_of(esk3_2(X2,X1),tptp1)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_8,
    [final] ).

cnf(c_0_19_068,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | occurrence_of(esk3_2(X2,X1),tptp1)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_9,
    [final] ).

cnf(c_0_20_069,negated_conjecture,
    ( occurrence_of(esk2_2(X2,X1),tptp2)
    | occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_10,
    [final] ).

cnf(c_0_21_070,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk1_0) ),
    c_0_11,
    [final] ).

cnf(c_0_22_071,negated_conjecture,
    occurrence_of(esk1_0,tptp0),
    c_0_12,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_136,negated_conjecture,
    ( min_precedes(X0,sk3_esk2_2(X0,X1),tptp0)
    | min_precedes(X0,sk3_esk3_2(X0,X1),tptp0)
    | ~ leaf_occ(X1,sk3_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c6901f.p',c_0_13) ).

cnf(c_232,negated_conjecture,
    ( min_precedes(X0,sk3_esk2_2(X0,X1),tptp0)
    | min_precedes(X0,sk3_esk3_2(X0,X1),tptp0)
    | ~ leaf_occ(X1,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_136]) ).

cnf(c_272,negated_conjecture,
    ( min_precedes(X0,sk3_esk2_2(X0,X1),tptp0)
    | min_precedes(X0,sk3_esk3_2(X0,X1),tptp0)
    | ~ leaf_occ(X1,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_232]) ).

cnf(c_291,negated_conjecture,
    ( min_precedes(X0,sk3_esk2_2(X0,X1),tptp0)
    | min_precedes(X0,sk3_esk3_2(X0,X1),tptp0)
    | ~ leaf_occ(X1,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_272]) ).

cnf(c_294,negated_conjecture,
    ( min_precedes(X0,sk3_esk2_2(X0,X1),tptp0)
    | min_precedes(X0,sk3_esk3_2(X0,X1),tptp0)
    | ~ leaf_occ(X1,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_291]) ).

cnf(c_724,negated_conjecture,
    ( min_precedes(X0,sk3_esk2_2(X0,X1),tptp0)
    | min_precedes(X0,sk3_esk3_2(X0,X1),tptp0)
    | ~ leaf_occ(X1,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_294]) ).

cnf(c_18,plain,
    ( ~ occurrence_of(X0,X1)
    | ~ leaf_occ(X2,X0)
    | ~ min_precedes(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c6901f.p',c_0_39_0) ).

cnf(c_484,plain,
    ( ~ occurrence_of(X0,X1)
    | ~ leaf_occ(X2,X0)
    | ~ min_precedes(X2,X3,X1) ),
    inference(copy,[status(esa)],[c_18]) ).

cnf(c_485,plain,
    ( ~ occurrence_of(X0,X1)
    | ~ min_precedes(X2,X3,X1)
    | ~ leaf_occ(X2,X0) ),
    inference(rewriting,[status(thm)],[c_484]) ).

cnf(c_988,plain,
    ( ~ occurrence_of(X0,tptp0)
    | min_precedes(X1,sk3_esk2_2(X1,X2),tptp0)
    | ~ leaf_occ(X2,sk3_esk1_0)
    | ~ leaf_occ(X1,X0) ),
    inference(resolution,[status(thm)],[c_724,c_485]) ).

cnf(c_989,plain,
    ( ~ occurrence_of(X0,tptp0)
    | min_precedes(X1,sk3_esk2_2(X1,X2),tptp0)
    | ~ leaf_occ(X2,sk3_esk1_0)
    | ~ leaf_occ(X1,X0) ),
    inference(rewriting,[status(thm)],[c_988]) ).

cnf(c_1728,plain,
    ( ~ occurrence_of(X0,tptp0)
    | ~ leaf_occ(X1,sk3_esk1_0)
    | ~ leaf_occ(X2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_989,c_485]) ).

cnf(c_1729,plain,
    ( ~ occurrence_of(X0,tptp0)
    | ~ leaf_occ(X1,sk3_esk1_0)
    | ~ leaf_occ(X2,X0) ),
    inference(rewriting,[status(thm)],[c_1728]) ).

cnf(c_145,negated_conjecture,
    occurrence_of(sk3_esk1_0,tptp0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c6901f.p',c_0_22) ).

cnf(c_250,negated_conjecture,
    occurrence_of(sk3_esk1_0,tptp0),
    inference(copy,[status(esa)],[c_145]) ).

cnf(c_281,negated_conjecture,
    occurrence_of(sk3_esk1_0,tptp0),
    inference(copy,[status(esa)],[c_250]) ).

cnf(c_282,negated_conjecture,
    occurrence_of(sk3_esk1_0,tptp0),
    inference(copy,[status(esa)],[c_281]) ).

cnf(c_293,negated_conjecture,
    occurrence_of(sk3_esk1_0,tptp0),
    inference(copy,[status(esa)],[c_282]) ).

cnf(c_722,negated_conjecture,
    occurrence_of(sk3_esk1_0,tptp0),
    inference(copy,[status(esa)],[c_293]) ).

cnf(c_71,plain,
    ( leaf_occ(sk1_esk15_1(X0),X0)
    | ~ occurrence_of(X0,tptp0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c6901f.p',c_0_333_0) ).

cnf(c_590,plain,
    ( leaf_occ(sk1_esk15_1(X0),X0)
    | ~ occurrence_of(X0,tptp0) ),
    inference(copy,[status(esa)],[c_71]) ).

cnf(c_591,plain,
    ( ~ occurrence_of(X0,tptp0)
    | leaf_occ(sk1_esk15_1(X0),X0) ),
    inference(rewriting,[status(thm)],[c_590]) ).

cnf(c_758,plain,
    leaf_occ(sk1_esk15_1(sk3_esk1_0),sk3_esk1_0),
    inference(resolution,[status(thm)],[c_722,c_591]) ).

cnf(c_763,plain,
    leaf_occ(sk1_esk15_1(sk3_esk1_0),sk3_esk1_0),
    inference(rewriting,[status(thm)],[c_758]) ).

cnf(c_1735,plain,
    ( ~ occurrence_of(sk3_esk1_0,tptp0)
    | ~ leaf_occ(X0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_1729,c_763]) ).

cnf(c_1736,plain,
    ( ~ occurrence_of(sk3_esk1_0,tptp0)
    | ~ leaf_occ(X0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_1735]) ).

cnf(c_2348,plain,
    ~ leaf_occ(X0,sk3_esk1_0),
    inference(forward_subsumption_resolution,[status(thm)],[c_1736,c_722]) ).

cnf(c_2349,plain,
    ~ leaf_occ(X0,sk3_esk1_0),
    inference(rewriting,[status(thm)],[c_2348]) ).

cnf(c_2351,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_2349,c_763]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : PRO010+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.08  % Command  : iprover_modulo %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Mon Jun 13 02:54:56 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.07/0.27  % Running in mono-core mode
% 0.12/0.34  % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.34  % FOF problem with conjecture
% 0.12/0.34  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7b605c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_c6901f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_d81528 | grep -v "SZS"
% 0.12/0.36  
% 0.12/0.36  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.12/0.36  
% 0.12/0.36  % 
% 0.12/0.36  % ------  iProver source info 
% 0.12/0.36  
% 0.12/0.36  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.12/0.36  % git: non_committed_changes: true
% 0.12/0.36  % git: last_make_outside_of_git: true
% 0.12/0.36  
% 0.12/0.36  % 
% 0.12/0.36  % ------ Input Options
% 0.12/0.36  
% 0.12/0.36  % --out_options                         all
% 0.12/0.36  % --tptp_safe_out                       true
% 0.12/0.36  % --problem_path                        ""
% 0.12/0.36  % --include_path                        ""
% 0.12/0.36  % --clausifier                          .//eprover
% 0.12/0.36  % --clausifier_options                  --tstp-format  
% 0.12/0.36  % --stdin                               false
% 0.12/0.36  % --dbg_backtrace                       false
% 0.12/0.36  % --dbg_dump_prop_clauses               false
% 0.12/0.36  % --dbg_dump_prop_clauses_file          -
% 0.12/0.36  % --dbg_out_stat                        false
% 0.12/0.36  
% 0.12/0.36  % ------ General Options
% 0.12/0.36  
% 0.12/0.36  % --fof                                 false
% 0.12/0.36  % --time_out_real                       150.
% 0.12/0.36  % --time_out_prep_mult                  0.2
% 0.12/0.36  % --time_out_virtual                    -1.
% 0.12/0.36  % --schedule                            none
% 0.12/0.36  % --ground_splitting                    input
% 0.12/0.36  % --splitting_nvd                       16
% 0.12/0.36  % --non_eq_to_eq                        false
% 0.12/0.36  % --prep_gs_sim                         true
% 0.12/0.36  % --prep_unflatten                      false
% 0.12/0.36  % --prep_res_sim                        true
% 0.12/0.36  % --prep_upred                          true
% 0.12/0.36  % --res_sim_input                       true
% 0.12/0.36  % --clause_weak_htbl                    true
% 0.12/0.36  % --gc_record_bc_elim                   false
% 0.12/0.36  % --symbol_type_check                   false
% 0.12/0.36  % --clausify_out                        false
% 0.12/0.36  % --large_theory_mode                   false
% 0.12/0.36  % --prep_sem_filter                     none
% 0.12/0.36  % --prep_sem_filter_out                 false
% 0.12/0.36  % --preprocessed_out                    false
% 0.12/0.36  % --sub_typing                          false
% 0.12/0.36  % --brand_transform                     false
% 0.12/0.36  % --pure_diseq_elim                     true
% 0.12/0.36  % --min_unsat_core                      false
% 0.12/0.36  % --pred_elim                           true
% 0.12/0.36  % --add_important_lit                   false
% 0.12/0.36  % --soft_assumptions                    false
% 0.12/0.36  % --reset_solvers                       false
% 0.12/0.36  % --bc_imp_inh                          []
% 0.12/0.36  % --conj_cone_tolerance                 1.5
% 0.12/0.36  % --prolific_symb_bound                 500
% 0.12/0.36  % --lt_threshold                        2000
% 0.12/0.36  
% 0.12/0.36  % ------ SAT Options
% 0.12/0.36  
% 0.12/0.36  % --sat_mode                            false
% 0.12/0.36  % --sat_fm_restart_options              ""
% 0.12/0.36  % --sat_gr_def                          false
% 0.12/0.36  % --sat_epr_types                       true
% 0.12/0.36  % --sat_non_cyclic_types                false
% 0.12/0.36  % --sat_finite_models                   false
% 0.12/0.36  % --sat_fm_lemmas                       false
% 0.12/0.36  % --sat_fm_prep                         false
% 0.12/0.36  % --sat_fm_uc_incr                      true
% 0.12/0.36  % --sat_out_model                       small
% 0.12/0.36  % --sat_out_clauses                     false
% 0.12/0.36  
% 0.12/0.36  % ------ QBF Options
% 0.12/0.36  
% 0.12/0.36  % --qbf_mode                            false
% 0.12/0.36  % --qbf_elim_univ                       true
% 0.12/0.36  % --qbf_sk_in                           true
% 0.12/0.36  % --qbf_pred_elim                       true
% 0.12/0.36  % --qbf_split                           32
% 0.12/0.36  
% 0.12/0.36  % ------ BMC1 Options
% 0.12/0.36  
% 0.12/0.36  % --bmc1_incremental                    false
% 0.12/0.36  % --bmc1_axioms                         reachable_all
% 0.12/0.36  % --bmc1_min_bound                      0
% 0.12/0.36  % --bmc1_max_bound                      -1
% 0.12/0.36  % --bmc1_max_bound_default              -1
% 0.12/0.36  % --bmc1_symbol_reachability            true
% 0.12/0.36  % --bmc1_property_lemmas                false
% 0.12/0.36  % --bmc1_k_induction                    false
% 0.12/0.36  % --bmc1_non_equiv_states               false
% 0.12/0.36  % --bmc1_deadlock                       false
% 0.12/0.36  % --bmc1_ucm                            false
% 0.12/0.36  % --bmc1_add_unsat_core                 none
% 0.12/0.36  % --bmc1_unsat_core_children            false
% 0.12/0.36  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.12/0.36  % --bmc1_out_stat                       full
% 0.12/0.36  % --bmc1_ground_init                    false
% 0.12/0.36  % --bmc1_pre_inst_next_state            false
% 0.12/0.36  % --bmc1_pre_inst_state                 false
% 0.12/0.36  % --bmc1_pre_inst_reach_state           false
% 0.12/0.36  % --bmc1_out_unsat_core                 false
% 0.12/0.36  % --bmc1_aig_witness_out                false
% 0.12/0.36  % --bmc1_verbose                        false
% 0.12/0.36  % --bmc1_dump_clauses_tptp              false
% 0.12/0.37  % --bmc1_dump_unsat_core_tptp           false
% 0.12/0.37  % --bmc1_dump_file                      -
% 0.12/0.37  % --bmc1_ucm_expand_uc_limit            128
% 0.12/0.37  % --bmc1_ucm_n_expand_iterations        6
% 0.12/0.37  % --bmc1_ucm_extend_mode                1
% 0.12/0.37  % --bmc1_ucm_init_mode                  2
% 0.12/0.37  % --bmc1_ucm_cone_mode                  none
% 0.12/0.37  % --bmc1_ucm_reduced_relation_type      0
% 0.12/0.37  % --bmc1_ucm_relax_model                4
% 0.12/0.37  % --bmc1_ucm_full_tr_after_sat          true
% 0.12/0.37  % --bmc1_ucm_expand_neg_assumptions     false
% 0.12/0.37  % --bmc1_ucm_layered_model              none
% 0.12/0.37  % --bmc1_ucm_max_lemma_size             10
% 0.12/0.37  
% 0.12/0.37  % ------ AIG Options
% 0.12/0.37  
% 0.12/0.37  % --aig_mode                            false
% 0.12/0.37  
% 0.12/0.37  % ------ Instantiation Options
% 0.12/0.37  
% 0.12/0.37  % --instantiation_flag                  true
% 0.12/0.37  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.12/0.37  % --inst_solver_per_active              750
% 0.12/0.37  % --inst_solver_calls_frac              0.5
% 0.12/0.37  % --inst_passive_queue_type             priority_queues
% 0.12/0.37  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.12/0.37  % --inst_passive_queues_freq            [25;2]
% 0.12/0.37  % --inst_dismatching                    true
% 0.12/0.37  % --inst_eager_unprocessed_to_passive   true
% 0.12/0.37  % --inst_prop_sim_given                 true
% 0.12/0.37  % --inst_prop_sim_new                   false
% 0.12/0.37  % --inst_orphan_elimination             true
% 0.12/0.37  % --inst_learning_loop_flag             true
% 0.12/0.37  % --inst_learning_start                 3000
% 0.12/0.37  % --inst_learning_factor                2
% 0.12/0.37  % --inst_start_prop_sim_after_learn     3
% 0.12/0.37  % --inst_sel_renew                      solver
% 0.12/0.37  % --inst_lit_activity_flag              true
% 0.12/0.37  % --inst_out_proof                      true
% 0.12/0.37  
% 0.12/0.37  % ------ Resolution Options
% 0.12/0.37  
% 0.12/0.37  % --resolution_flag                     true
% 0.12/0.37  % --res_lit_sel                         kbo_max
% 0.12/0.37  % --res_to_prop_solver                  none
% 0.12/0.37  % --res_prop_simpl_new                  false
% 0.12/0.37  % --res_prop_simpl_given                false
% 0.12/0.37  % --res_passive_queue_type              priority_queues
% 0.12/0.37  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.12/0.37  % --res_passive_queues_freq             [15;5]
% 0.12/0.37  % --res_forward_subs                    full
% 0.12/0.37  % --res_backward_subs                   full
% 0.12/0.37  % --res_forward_subs_resolution         true
% 0.12/0.37  % --res_backward_subs_resolution        true
% 0.12/0.37  % --res_orphan_elimination              false
% 0.12/0.37  % --res_time_limit                      1000.
% 0.12/0.37  % --res_out_proof                       true
% 0.12/0.37  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7b605c.s
% 0.12/0.37  % --modulo                              true
% 0.12/0.37  
% 0.12/0.37  % ------ Combination Options
% 0.12/0.37  
% 0.12/0.37  % --comb_res_mult                       1000
% 0.12/0.37  % --comb_inst_mult                      300
% 0.12/0.37  % ------ 
% 0.12/0.37  
% 0.12/0.37  % ------ Parsing...% successful
% 0.12/0.37  
% 0.12/0.37  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.12/0.37  
% 0.12/0.37  % ------ Proving...
% 0.12/0.37  % ------ Problem Properties 
% 0.12/0.37  
% 0.12/0.37  % 
% 0.12/0.37  % EPR                                   false
% 0.12/0.37  % Horn                                  false
% 0.12/0.37  % Has equality                          true
% 0.12/0.37  
% 0.12/0.37  % % ------ Input Options Time Limit: Unbounded
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  % % ------ Current options:
% 0.12/0.37  
% 0.12/0.37  % ------ Input Options
% 0.12/0.37  
% 0.12/0.37  % --out_options                         all
% 0.12/0.37  % --tptp_safe_out                       true
% 0.12/0.37  % --problem_path                        ""
% 0.12/0.37  % --include_path                        ""
% 0.12/0.37  % --clausifier                          .//eprover
% 0.12/0.37  % --clausifier_options                  --tstp-format  
% 0.12/0.37  % --stdin                               false
% 0.12/0.37  % --dbg_backtrace                       false
% 0.12/0.37  % --dbg_dump_prop_clauses               false
% 0.12/0.37  % --dbg_dump_prop_clauses_file          -
% 0.12/0.37  % --dbg_out_stat                        false
% 0.12/0.37  
% 0.12/0.37  % ------ General Options
% 0.12/0.37  
% 0.12/0.37  % --fof                                 false
% 0.12/0.37  % --time_out_real                       150.
% 0.12/0.37  % --time_out_prep_mult                  0.2
% 0.12/0.37  % --time_out_virtual                    -1.
% 0.12/0.37  % --schedule                            none
% 0.12/0.37  % --ground_splitting                    input
% 0.12/0.37  % --splitting_nvd                       16
% 0.12/0.37  % --non_eq_to_eq                        false
% 0.12/0.37  % --prep_gs_sim                         true
% 0.12/0.37  % --prep_unflatten                      false
% 0.12/0.37  % --prep_res_sim                        true
% 0.12/0.37  % --prep_upred                          true
% 0.12/0.37  % --res_sim_input                       true
% 0.12/0.37  % --clause_weak_htbl                    true
% 0.12/0.37  % --gc_record_bc_elim                   false
% 0.12/0.37  % --symbol_type_check                   false
% 0.12/0.37  % --clausify_out                        false
% 0.12/0.37  % --large_theory_mode                   false
% 0.12/0.37  % --prep_sem_filter                     none
% 0.12/0.37  % --prep_sem_filter_out                 false
% 0.12/0.37  % --preprocessed_out                    false
% 0.12/0.37  % --sub_typing                          false
% 0.12/0.37  % --brand_transform                     false
% 0.12/0.37  % --pure_diseq_elim                     true
% 0.12/0.37  % --min_unsat_core                      false
% 0.12/0.37  % --pred_elim                           true
% 0.12/0.37  % --add_important_lit                   false
% 0.12/0.37  % --soft_assumptions                    false
% 0.12/0.37  % --reset_solvers                       false
% 0.12/0.37  % --bc_imp_inh                          []
% 0.12/0.37  % --conj_cone_tolerance                 1.5
% 0.12/0.37  % --prolific_symb_bound                 500
% 0.12/0.37  % --lt_threshold                        2000
% 0.12/0.37  
% 0.12/0.37  % ------ SAT Options
% 0.12/0.37  
% 0.12/0.37  % --sat_mode                            false
% 0.12/0.37  % --sat_fm_restart_options              ""
% 0.12/0.37  % --sat_gr_def                          false
% 0.12/0.37  % --sat_epr_types                       true
% 0.12/0.37  % --sat_non_cyclic_types                false
% 0.12/0.37  % --sat_finite_models                   false
% 0.12/0.37  % --sat_fm_lemmas                       false
% 0.12/0.37  % --sat_fm_prep                         false
% 0.12/0.37  % --sat_fm_uc_incr                      true
% 0.12/0.37  % --sat_out_model                       small
% 0.12/0.37  % --sat_out_clauses                     false
% 0.12/0.37  
% 0.12/0.37  % ------ QBF Options
% 0.12/0.37  
% 0.12/0.37  % --qbf_mode                            false
% 0.12/0.37  % --qbf_elim_univ                       true
% 0.12/0.37  % --qbf_sk_in                           true
% 0.12/0.37  % --qbf_pred_elim                       true
% 0.12/0.37  % --qbf_split                           32
% 0.12/0.37  
% 0.12/0.37  % ------ BMC1 Options
% 0.12/0.37  
% 0.12/0.37  % --bmc1_incremental                    false
% 0.12/0.37  % --bmc1_axioms                         reachable_all
% 0.12/0.37  % --bmc1_min_bound                      0
% 0.12/0.37  % --bmc1_max_bound                      -1
% 0.12/0.37  % --bmc1_max_bound_default              -1
% 0.12/0.37  % --bmc1_symbol_reachability            true
% 0.12/0.37  % --bmc1_property_lemmas                false
% 0.12/0.37  % --bmc1_k_induction                    false
% 0.12/0.37  % --bmc1_non_equiv_states               false
% 0.12/0.37  % --bmc1_deadlock                       false
% 0.12/0.37  % --bmc1_ucm                            false
% 0.12/0.37  % --bmc1_add_unsat_core                 none
% 0.12/0.37  % --bmc1_unsat_core_children            false
% 0.12/0.37  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.12/0.37  % --bmc1_out_stat                       full
% 0.12/0.37  % --bmc1_ground_init                    false
% 0.12/0.37  % --bmc1_pre_inst_next_state            false
% 0.12/0.37  % --bmc1_pre_inst_state                 false
% 0.12/0.37  % --bmc1_pre_inst_reach_state           false
% 0.12/0.37  % --bmc1_out_unsat_core                 false
% 0.12/0.37  % --bmc1_aig_witness_out                false
% 0.12/0.37  % --bmc1_verbose                        false
% 0.12/0.37  % --bmc1_dump_clauses_tptp              false
% 0.12/0.37  % --bmc1_dump_unsat_core_tptp           false
% 0.12/0.37  % --bmc1_dump_file                      -
% 0.12/0.37  % --bmc1_ucm_expand_uc_limit            128
% 0.12/0.37  % --bmc1_ucm_n_expand_iterations        6
% 0.12/0.37  % --bmc1_ucm_extend_mode                1
% 0.12/0.37  % --bmc1_ucm_init_mode                  2
% 0.12/0.37  % --bmc1_ucm_cone_mode                  none
% 0.12/0.37  % --bmc1_ucm_reduced_relation_type      0
% 0.12/0.37  % --bmc1_ucm_relax_model                4
% 0.12/0.37  % --bmc1_ucm_full_tr_after_sat          true
% 0.12/0.37  % --bmc1_ucm_expand_neg_assumptions     false
% 0.12/0.37  % --bmc1_ucm_layered_model              none
% 0.12/0.37  % --bmc1_ucm_max_lemma_size             10
% 0.12/0.37  
% 0.12/0.37  % ------ AIG Options
% 0.12/0.37  
% 0.12/0.37  % --aig_mode                            false
% 0.12/0.37  
% 0.12/0.37  % ------ Instantiation Options
% 0.12/0.37  
% 0.12/0.37  % --instantiation_flag                  true
% 0.12/0.37  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.12/0.37  % --inst_solver_per_active              750
% 0.12/0.37  % --inst_solver_calls_frac              0.5
% 0.12/0.37  % --inst_passive_queue_type             priority_queues
% 0.12/0.37  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.12/0.37  % --inst_passive_queues_freq            [25;2]
% 0.12/0.37  % --inst_dismatching                    true
% 0.12/0.37  % --inst_eager_unprocessed_to_passive   true
% 0.12/0.37  % --inst_prop_sim_given                 true
% 0.12/0.41  % --inst_prop_sim_new                   false
% 0.12/0.41  % --inst_orphan_elimination             true
% 0.12/0.41  % --inst_learning_loop_flag             true
% 0.12/0.41  % --inst_learning_start                 3000
% 0.12/0.41  % --inst_learning_factor                2
% 0.12/0.41  % --inst_start_prop_sim_after_learn     3
% 0.12/0.41  % --inst_sel_renew                      solver
% 0.12/0.41  % --inst_lit_activity_flag              true
% 0.12/0.41  % --inst_out_proof                      true
% 0.12/0.41  
% 0.12/0.41  % ------ Resolution Options
% 0.12/0.41  
% 0.12/0.41  % --resolution_flag                     true
% 0.12/0.41  % --res_lit_sel                         kbo_max
% 0.12/0.41  % --res_to_prop_solver                  none
% 0.12/0.41  % --res_prop_simpl_new                  false
% 0.12/0.41  % --res_prop_simpl_given                false
% 0.12/0.41  % --res_passive_queue_type              priority_queues
% 0.12/0.41  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.12/0.41  % --res_passive_queues_freq             [15;5]
% 0.12/0.41  % --res_forward_subs                    full
% 0.12/0.41  % --res_backward_subs                   full
% 0.12/0.41  % --res_forward_subs_resolution         true
% 0.12/0.41  % --res_backward_subs_resolution        true
% 0.12/0.41  % --res_orphan_elimination              false
% 0.12/0.41  % --res_time_limit                      1000.
% 0.12/0.41  % --res_out_proof                       true
% 0.12/0.41  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7b605c.s
% 0.12/0.41  % --modulo                              true
% 0.12/0.41  
% 0.12/0.41  % ------ Combination Options
% 0.12/0.41  
% 0.12/0.41  % --comb_res_mult                       1000
% 0.12/0.41  % --comb_inst_mult                      300
% 0.12/0.41  % ------ 
% 0.12/0.41  
% 0.12/0.41  
% 0.12/0.41  
% 0.12/0.41  % ------ Proving...
% 0.12/0.41  % 
% 0.12/0.41  
% 0.12/0.41  
% 0.12/0.41  %  Resolution empty clause
% 0.12/0.41  
% 0.12/0.41  % ------                             Statistics
% 0.12/0.41  
% 0.12/0.41  % ------ General
% 0.12/0.41  
% 0.12/0.41  % num_of_input_clauses:                 146
% 0.12/0.41  % num_of_input_neg_conjectures:         10
% 0.12/0.41  % num_of_splits:                        0
% 0.12/0.41  % num_of_split_atoms:                   0
% 0.12/0.41  % num_of_sem_filtered_clauses:          0
% 0.12/0.41  % num_of_subtypes:                      0
% 0.12/0.41  % monotx_restored_types:                0
% 0.12/0.41  % sat_num_of_epr_types:                 0
% 0.12/0.41  % sat_num_of_non_cyclic_types:          0
% 0.12/0.41  % sat_guarded_non_collapsed_types:      0
% 0.12/0.41  % is_epr:                               0
% 0.12/0.41  % is_horn:                              0
% 0.12/0.41  % has_eq:                               1
% 0.12/0.41  % num_pure_diseq_elim:                  0
% 0.12/0.41  % simp_replaced_by:                     0
% 0.12/0.41  % res_preprocessed:                     20
% 0.12/0.41  % prep_upred:                           0
% 0.12/0.41  % prep_unflattend:                      0
% 0.12/0.41  % pred_elim_cands:                      0
% 0.12/0.41  % pred_elim:                            0
% 0.12/0.41  % pred_elim_cl:                         0
% 0.12/0.41  % pred_elim_cycles:                     0
% 0.12/0.41  % forced_gc_time:                       0
% 0.12/0.41  % gc_basic_clause_elim:                 0
% 0.12/0.41  % parsing_time:                         0.005
% 0.12/0.41  % sem_filter_time:                      0.
% 0.12/0.41  % pred_elim_time:                       0.
% 0.12/0.41  % out_proof_time:                       0.
% 0.12/0.41  % monotx_time:                          0.
% 0.12/0.41  % subtype_inf_time:                     0.
% 0.12/0.41  % unif_index_cands_time:                0.
% 0.12/0.41  % unif_index_add_time:                  0.
% 0.12/0.41  % total_time:                           0.069
% 0.12/0.41  % num_of_symbols:                       69
% 0.12/0.41  % num_of_terms:                         1401
% 0.12/0.41  
% 0.12/0.41  % ------ Propositional Solver
% 0.12/0.41  
% 0.12/0.41  % prop_solver_calls:                    1
% 0.12/0.41  % prop_fast_solver_calls:               84
% 0.12/0.41  % prop_num_of_clauses:                  210
% 0.12/0.41  % prop_preprocess_simplified:           500
% 0.12/0.41  % prop_fo_subsumed:                     0
% 0.12/0.41  % prop_solver_time:                     0.
% 0.12/0.41  % prop_fast_solver_time:                0.
% 0.12/0.41  % prop_unsat_core_time:                 0.
% 0.12/0.41  
% 0.12/0.41  % ------ QBF 
% 0.12/0.41  
% 0.12/0.41  % qbf_q_res:                            0
% 0.12/0.41  % qbf_num_tautologies:                  0
% 0.12/0.41  % qbf_prep_cycles:                      0
% 0.12/0.41  
% 0.12/0.41  % ------ BMC1
% 0.12/0.41  
% 0.12/0.41  % bmc1_current_bound:                   -1
% 0.12/0.41  % bmc1_last_solved_bound:               -1
% 0.12/0.41  % bmc1_unsat_core_size:                 -1
% 0.12/0.41  % bmc1_unsat_core_parents_size:         -1
% 0.12/0.41  % bmc1_merge_next_fun:                  0
% 0.12/0.41  % bmc1_unsat_core_clauses_time:         0.
% 0.12/0.41  
% 0.12/0.41  % ------ Instantiation
% 0.12/0.41  
% 0.12/0.41  % inst_num_of_clauses:                  146
% 0.12/0.41  % inst_num_in_passive:                  0
% 0.12/0.41  % inst_num_in_active:                   0
% 0.12/0.41  % inst_num_in_unprocessed:              146
% 0.12/0.41  % inst_num_of_loops:                    0
% 0.12/0.41  % inst_num_of_learning_restarts:        0
% 0.12/0.41  % inst_num_moves_active_passive:        0
% 0.12/0.41  % inst_lit_activity:                    0
% 0.12/0.41  % inst_lit_activity_moves:              0
% 0.12/0.41  % inst_num_tautologies:                 0
% 0.12/0.41  % inst_num_prop_implied:                0
% 0.12/0.41  % inst_num_existing_simplified:         0
% 0.12/0.41  % inst_num_eq_res_simplified:           0
% 0.12/0.41  % inst_num_child_elim:                  0
% 0.12/0.41  % inst_num_of_dismatching_blockings:    0
% 0.12/0.41  % inst_num_of_non_proper_insts:         0
% 0.12/0.41  % inst_num_of_duplicates:               0
% 0.12/0.41  % inst_inst_num_from_inst_to_res:       0
% 0.12/0.41  % inst_dismatching_checking_time:       0.
% 0.12/0.41  
% 0.12/0.41  % ------ Resolution
% 0.12/0.41  
% 0.12/0.41  % res_num_of_clauses:                   557
% 0.12/0.41  % res_num_in_passive:                   341
% 0.12/0.41  % res_num_in_active:                    140
% 0.12/0.41  % res_num_of_loops:                     142
% 0.12/0.41  % res_forward_subset_subsumed:          69
% 0.12/0.41  % res_backward_subset_subsumed:         16
% 0.12/0.41  % res_forward_subsumed:                 38
% 0.12/0.41  % res_backward_subsumed:                65
% 0.12/0.41  % res_forward_subsumption_resolution:   8
% 0.12/0.41  % res_backward_subsumption_resolution:  1
% 0.12/0.41  % res_clause_to_clause_subsumption:     262
% 0.12/0.41  % res_orphan_elimination:               0
% 0.12/0.41  % res_tautology_del:                    0
% 0.12/0.41  % res_num_eq_res_simplified:            0
% 0.12/0.41  % res_num_sel_changes:                  0
% 0.12/0.41  % res_moves_from_active_to_pass:        0
% 0.12/0.41  
% 0.12/0.41  % Status Unsatisfiable
% 0.12/0.41  % SZS status Theorem
% 0.12/0.41  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------