TSTP Solution File: PRO004+4 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : PRO004+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 00:26:22 EST 2010

% Result   : Theorem 67.99s
% Output   : CNFRefutation 67.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  268 (  20 unt;   0 def)
%            Number of atoms       : 1069 (  52 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1356 ( 555   ~; 587   |; 184   &)
%                                         (   6 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;   5 con; 0-3 aty)
%            Number of variables   :  600 (  18 sgn 286   !;  51   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,axiom,
    ! [X7,X8] :
      ( ( occurrence_of(X8,X7)
        & ~ atomic(X7) )
     => ? [X9] :
          ( root(X9,X7)
          & subactivity_occurrence(X9,X8) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos) ).

fof(7,axiom,
    ! [X18,X19,X20] :
      ( min_precedes(X18,X19,X20)
     => ~ root(X19,X20) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_22) ).

fof(9,axiom,
    ! [X25,X26,X27,X28] :
      ( ( occurrence_of(X27,X28)
        & ~ atomic(X28)
        & leaf_occ(X25,X27)
        & leaf_occ(X26,X27) )
     => X25 = X26 ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_28) ).

fof(10,axiom,
    ! [X29,X30,X31,X32] :
      ( ( occurrence_of(X31,X32)
        & root_occ(X29,X31)
        & root_occ(X30,X31) )
     => X29 = X30 ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_29) ).

fof(11,axiom,
    ! [X33,X34] :
      ( ( occurrence_of(X34,tptp0)
        & subactivity_occurrence(X33,X34)
        & arboreal(X33)
        & ~ leaf_occ(X33,X34) )
     => root_occ(X33,X34) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_46) ).

fof(12,axiom,
    ! [X35,X36] :
      ( ( occurrence_of(X36,tptp0)
        & subactivity_occurrence(X35,X36)
        & arboreal(X35)
        & ~ leaf_occ(X35,X36) )
     => ? [X37] :
          ( occurrence_of(X37,tptp1)
          & next_subocc(X35,X37,tptp0) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_47) ).

fof(13,axiom,
    ! [X38,X39,X40] :
      ( ( occurrence_of(X38,X39)
        & occurrence_of(X38,X40) )
     => X39 = X40 ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_08) ).

fof(14,axiom,
    ! [X41,X42,X43] :
      ( ( occurrence_of(X41,X43)
        & leaf_occ(X42,X41) )
     => ~ ? [X44] : min_precedes(X42,X44,X43) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_09) ).

fof(15,axiom,
    tptp1 != tptp3,
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_42) ).

fof(19,axiom,
    ! [X45,X46,X47,X48] :
      ( ( occurrence_of(X46,X45)
        & subactivity_occurrence(X47,X46)
        & leaf_occ(X48,X46)
        & arboreal(X47)
        & ~ min_precedes(X47,X48,X45) )
     => X48 = X47 ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_02) ).

fof(20,axiom,
    ! [X49,X50] :
      ( occurrence_of(X50,X49)
     => ( activity(X49)
        & activity_occurrence(X50) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_03) ).

fof(22,axiom,
    ! [X56,X57,X58] :
      ( min_precedes(X57,X58,X56)
     => ? [X59] :
          ( occurrence_of(X59,X56)
          & subactivity_occurrence(X57,X59)
          & subactivity_occurrence(X58,X59) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_06) ).

fof(23,axiom,
    ! [X60,X61] :
      ( ( leaf(X60,X61)
        & ~ atomic(X61) )
     => ? [X62] :
          ( occurrence_of(X62,X61)
          & leaf_occ(X60,X62) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_07) ).

fof(25,axiom,
    ! [X67,X68] :
      ( root(X68,X67)
     => ? [X69] :
          ( subactivity(X69,X67)
          & atocc(X68,X69) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_05) ).

fof(28,axiom,
    ! [X70] :
      ( occurrence_of(X70,tptp0)
     => ? [X71,X72] :
          ( occurrence_of(X71,tptp4)
          & root_occ(X71,X70)
          & occurrence_of(X72,tptp3)
          & leaf_occ(X72,X70)
          & next_subocc(X71,X72,tptp0) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_32) ).

fof(34,axiom,
    ~ atomic(tptp0),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_34) ).

fof(36,axiom,
    atomic(tptp1),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_38) ).

fof(37,axiom,
    ! [X80,X81,X82] :
      ( next_subocc(X80,X81,X82)
    <=> ( min_precedes(X80,X81,X82)
        & ~ ? [X83] :
              ( min_precedes(X80,X83,X82)
              & min_precedes(X83,X81,X82) ) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_26) ).

fof(38,axiom,
    ! [X84,X85] :
      ( root_occ(X84,X85)
    <=> ? [X86] :
          ( occurrence_of(X85,X86)
          & subactivity_occurrence(X84,X85)
          & root(X84,X86) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_19) ).

fof(39,axiom,
    ! [X87,X88] :
      ( leaf_occ(X87,X88)
    <=> ? [X89] :
          ( occurrence_of(X88,X89)
          & subactivity_occurrence(X87,X88)
          & leaf(X87,X89) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_18) ).

fof(41,axiom,
    ! [X92,X93,X94] :
      ( ( occurrence_of(X92,X94)
        & root_occ(X93,X92) )
     => ~ ? [X95] : min_precedes(X95,X93,X94) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_10) ).

fof(43,axiom,
    ! [X97] :
      ( activity_occurrence(X97)
     => ? [X98] :
          ( activity(X98)
          & occurrence_of(X97,X98) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_12) ).

fof(44,axiom,
    ! [X99,X100] :
      ( leaf(X99,X100)
    <=> ( ( root(X99,X100)
          | ? [X101] : min_precedes(X101,X99,X100) )
        & ~ ? [X102] : min_precedes(X99,X102,X100) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_15) ).

fof(45,axiom,
    ! [X103,X104] :
      ( atocc(X103,X104)
    <=> ? [X105] :
          ( subactivity(X104,X105)
          & atomic(X105)
          & occurrence_of(X103,X105) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_14) ).

fof(47,axiom,
    ! [X108,X109] :
      ( occurrence_of(X108,X109)
     => ( arboreal(X108)
      <=> atomic(X109) ) ),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',sos_16) ).

fof(49,conjecture,
    ~ ? [X112] : occurrence_of(X112,tptp0),
    file('/tmp/tmpFOriUf/sel_PRO004+4.p_2',goals) ).

fof(50,negated_conjecture,
    ~ ~ ? [X112] : occurrence_of(X112,tptp0),
    inference(assume_negation,[status(cth)],[49]) ).

fof(51,plain,
    ! [X7,X8] :
      ( ( occurrence_of(X8,X7)
        & ~ atomic(X7) )
     => ? [X9] :
          ( root(X9,X7)
          & subactivity_occurrence(X9,X8) ) ),
    inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).

fof(53,plain,
    ! [X18,X19,X20] :
      ( min_precedes(X18,X19,X20)
     => ~ root(X19,X20) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(54,plain,
    ! [X25,X26,X27,X28] :
      ( ( occurrence_of(X27,X28)
        & ~ atomic(X28)
        & leaf_occ(X25,X27)
        & leaf_occ(X26,X27) )
     => X25 = X26 ),
    inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).

fof(55,plain,
    ! [X33,X34] :
      ( ( occurrence_of(X34,tptp0)
        & subactivity_occurrence(X33,X34)
        & arboreal(X33)
        & ~ leaf_occ(X33,X34) )
     => root_occ(X33,X34) ),
    inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).

fof(56,plain,
    ! [X35,X36] :
      ( ( occurrence_of(X36,tptp0)
        & subactivity_occurrence(X35,X36)
        & arboreal(X35)
        & ~ leaf_occ(X35,X36) )
     => ? [X37] :
          ( occurrence_of(X37,tptp1)
          & next_subocc(X35,X37,tptp0) ) ),
    inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).

fof(57,plain,
    ! [X45,X46,X47,X48] :
      ( ( occurrence_of(X46,X45)
        & subactivity_occurrence(X47,X46)
        & leaf_occ(X48,X46)
        & arboreal(X47)
        & ~ min_precedes(X47,X48,X45) )
     => X48 = X47 ),
    inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).

fof(58,plain,
    ! [X60,X61] :
      ( ( leaf(X60,X61)
        & ~ atomic(X61) )
     => ? [X62] :
          ( occurrence_of(X62,X61)
          & leaf_occ(X60,X62) ) ),
    inference(fof_simplification,[status(thm)],[23,theory(equality)]) ).

fof(59,plain,
    ~ atomic(tptp0),
    inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).

fof(69,plain,
    ! [X7,X8] :
      ( ~ occurrence_of(X8,X7)
      | atomic(X7)
      | ? [X9] :
          ( root(X9,X7)
          & subactivity_occurrence(X9,X8) ) ),
    inference(fof_nnf,[status(thm)],[51]) ).

fof(70,plain,
    ! [X10,X11] :
      ( ~ occurrence_of(X11,X10)
      | atomic(X10)
      | ? [X12] :
          ( root(X12,X10)
          & subactivity_occurrence(X12,X11) ) ),
    inference(variable_rename,[status(thm)],[69]) ).

fof(71,plain,
    ! [X10,X11] :
      ( ~ occurrence_of(X11,X10)
      | atomic(X10)
      | ( root(esk1_2(X10,X11),X10)
        & subactivity_occurrence(esk1_2(X10,X11),X11) ) ),
    inference(skolemize,[status(esa)],[70]) ).

fof(72,plain,
    ! [X10,X11] :
      ( ( root(esk1_2(X10,X11),X10)
        | ~ occurrence_of(X11,X10)
        | atomic(X10) )
      & ( subactivity_occurrence(esk1_2(X10,X11),X11)
        | ~ occurrence_of(X11,X10)
        | atomic(X10) ) ),
    inference(distribute,[status(thm)],[71]) ).

cnf(73,plain,
    ( atomic(X1)
    | subactivity_occurrence(esk1_2(X1,X2),X2)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[72]) ).

cnf(74,plain,
    ( atomic(X1)
    | root(esk1_2(X1,X2),X1)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[72]) ).

fof(87,plain,
    ! [X18,X19,X20] :
      ( ~ min_precedes(X18,X19,X20)
      | ~ root(X19,X20) ),
    inference(fof_nnf,[status(thm)],[53]) ).

fof(88,plain,
    ! [X21,X22,X23] :
      ( ~ min_precedes(X21,X22,X23)
      | ~ root(X22,X23) ),
    inference(variable_rename,[status(thm)],[87]) ).

cnf(89,plain,
    ( ~ root(X1,X2)
    | ~ min_precedes(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[88]) ).

fof(96,plain,
    ! [X25,X26,X27,X28] :
      ( ~ occurrence_of(X27,X28)
      | atomic(X28)
      | ~ leaf_occ(X25,X27)
      | ~ leaf_occ(X26,X27)
      | X25 = X26 ),
    inference(fof_nnf,[status(thm)],[54]) ).

fof(97,plain,
    ! [X29,X30,X31,X32] :
      ( ~ occurrence_of(X31,X32)
      | atomic(X32)
      | ~ leaf_occ(X29,X31)
      | ~ leaf_occ(X30,X31)
      | X29 = X30 ),
    inference(variable_rename,[status(thm)],[96]) ).

cnf(98,plain,
    ( X1 = X2
    | atomic(X4)
    | ~ leaf_occ(X2,X3)
    | ~ leaf_occ(X1,X3)
    | ~ occurrence_of(X3,X4) ),
    inference(split_conjunct,[status(thm)],[97]) ).

fof(99,plain,
    ! [X29,X30,X31,X32] :
      ( ~ occurrence_of(X31,X32)
      | ~ root_occ(X29,X31)
      | ~ root_occ(X30,X31)
      | X29 = X30 ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(100,plain,
    ! [X33,X34,X35,X36] :
      ( ~ occurrence_of(X35,X36)
      | ~ root_occ(X33,X35)
      | ~ root_occ(X34,X35)
      | X33 = X34 ),
    inference(variable_rename,[status(thm)],[99]) ).

cnf(101,plain,
    ( X1 = X2
    | ~ root_occ(X2,X3)
    | ~ root_occ(X1,X3)
    | ~ occurrence_of(X3,X4) ),
    inference(split_conjunct,[status(thm)],[100]) ).

fof(102,plain,
    ! [X33,X34] :
      ( ~ occurrence_of(X34,tptp0)
      | ~ subactivity_occurrence(X33,X34)
      | ~ arboreal(X33)
      | leaf_occ(X33,X34)
      | root_occ(X33,X34) ),
    inference(fof_nnf,[status(thm)],[55]) ).

fof(103,plain,
    ! [X35,X36] :
      ( ~ occurrence_of(X36,tptp0)
      | ~ subactivity_occurrence(X35,X36)
      | ~ arboreal(X35)
      | leaf_occ(X35,X36)
      | root_occ(X35,X36) ),
    inference(variable_rename,[status(thm)],[102]) ).

cnf(104,plain,
    ( root_occ(X1,X2)
    | leaf_occ(X1,X2)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[103]) ).

fof(105,plain,
    ! [X35,X36] :
      ( ~ occurrence_of(X36,tptp0)
      | ~ subactivity_occurrence(X35,X36)
      | ~ arboreal(X35)
      | leaf_occ(X35,X36)
      | ? [X37] :
          ( occurrence_of(X37,tptp1)
          & next_subocc(X35,X37,tptp0) ) ),
    inference(fof_nnf,[status(thm)],[56]) ).

fof(106,plain,
    ! [X38,X39] :
      ( ~ occurrence_of(X39,tptp0)
      | ~ subactivity_occurrence(X38,X39)
      | ~ arboreal(X38)
      | leaf_occ(X38,X39)
      | ? [X40] :
          ( occurrence_of(X40,tptp1)
          & next_subocc(X38,X40,tptp0) ) ),
    inference(variable_rename,[status(thm)],[105]) ).

fof(107,plain,
    ! [X38,X39] :
      ( ~ occurrence_of(X39,tptp0)
      | ~ subactivity_occurrence(X38,X39)
      | ~ arboreal(X38)
      | leaf_occ(X38,X39)
      | ( occurrence_of(esk3_2(X38,X39),tptp1)
        & next_subocc(X38,esk3_2(X38,X39),tptp0) ) ),
    inference(skolemize,[status(esa)],[106]) ).

fof(108,plain,
    ! [X38,X39] :
      ( ( occurrence_of(esk3_2(X38,X39),tptp1)
        | ~ occurrence_of(X39,tptp0)
        | ~ subactivity_occurrence(X38,X39)
        | ~ arboreal(X38)
        | leaf_occ(X38,X39) )
      & ( next_subocc(X38,esk3_2(X38,X39),tptp0)
        | ~ occurrence_of(X39,tptp0)
        | ~ subactivity_occurrence(X38,X39)
        | ~ arboreal(X38)
        | leaf_occ(X38,X39) ) ),
    inference(distribute,[status(thm)],[107]) ).

cnf(109,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk3_2(X1,X2),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[108]) ).

cnf(110,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk3_2(X1,X2),tptp1)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[108]) ).

fof(111,plain,
    ! [X38,X39,X40] :
      ( ~ occurrence_of(X38,X39)
      | ~ occurrence_of(X38,X40)
      | X39 = X40 ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(112,plain,
    ! [X41,X42,X43] :
      ( ~ occurrence_of(X41,X42)
      | ~ occurrence_of(X41,X43)
      | X42 = X43 ),
    inference(variable_rename,[status(thm)],[111]) ).

cnf(113,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    inference(split_conjunct,[status(thm)],[112]) ).

fof(114,plain,
    ! [X41,X42,X43] :
      ( ~ occurrence_of(X41,X43)
      | ~ leaf_occ(X42,X41)
      | ! [X44] : ~ min_precedes(X42,X44,X43) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(115,plain,
    ! [X45,X46,X47] :
      ( ~ occurrence_of(X45,X47)
      | ~ leaf_occ(X46,X45)
      | ! [X48] : ~ min_precedes(X46,X48,X47) ),
    inference(variable_rename,[status(thm)],[114]) ).

fof(116,plain,
    ! [X45,X46,X47,X48] :
      ( ~ min_precedes(X46,X48,X47)
      | ~ occurrence_of(X45,X47)
      | ~ leaf_occ(X46,X45) ),
    inference(shift_quantors,[status(thm)],[115]) ).

cnf(117,plain,
    ( ~ leaf_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ min_precedes(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[116]) ).

cnf(118,plain,
    tptp1 != tptp3,
    inference(split_conjunct,[status(thm)],[15]) ).

fof(122,plain,
    ! [X45,X46,X47,X48] :
      ( ~ occurrence_of(X46,X45)
      | ~ subactivity_occurrence(X47,X46)
      | ~ leaf_occ(X48,X46)
      | ~ arboreal(X47)
      | min_precedes(X47,X48,X45)
      | X48 = X47 ),
    inference(fof_nnf,[status(thm)],[57]) ).

fof(123,plain,
    ! [X49,X50,X51,X52] :
      ( ~ occurrence_of(X50,X49)
      | ~ subactivity_occurrence(X51,X50)
      | ~ leaf_occ(X52,X50)
      | ~ arboreal(X51)
      | min_precedes(X51,X52,X49)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[122]) ).

cnf(124,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | ~ arboreal(X2)
    | ~ leaf_occ(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[123]) ).

fof(125,plain,
    ! [X49,X50] :
      ( ~ occurrence_of(X50,X49)
      | ( activity(X49)
        & activity_occurrence(X50) ) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(126,plain,
    ! [X51,X52] :
      ( ~ occurrence_of(X52,X51)
      | ( activity(X51)
        & activity_occurrence(X52) ) ),
    inference(variable_rename,[status(thm)],[125]) ).

fof(127,plain,
    ! [X51,X52] :
      ( ( activity(X51)
        | ~ occurrence_of(X52,X51) )
      & ( activity_occurrence(X52)
        | ~ occurrence_of(X52,X51) ) ),
    inference(distribute,[status(thm)],[126]) ).

cnf(128,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    inference(split_conjunct,[status(thm)],[127]) ).

fof(133,plain,
    ! [X56,X57,X58] :
      ( ~ min_precedes(X57,X58,X56)
      | ? [X59] :
          ( occurrence_of(X59,X56)
          & subactivity_occurrence(X57,X59)
          & subactivity_occurrence(X58,X59) ) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(134,plain,
    ! [X60,X61,X62] :
      ( ~ min_precedes(X61,X62,X60)
      | ? [X63] :
          ( occurrence_of(X63,X60)
          & subactivity_occurrence(X61,X63)
          & subactivity_occurrence(X62,X63) ) ),
    inference(variable_rename,[status(thm)],[133]) ).

fof(135,plain,
    ! [X60,X61,X62] :
      ( ~ min_precedes(X61,X62,X60)
      | ( occurrence_of(esk4_3(X60,X61,X62),X60)
        & subactivity_occurrence(X61,esk4_3(X60,X61,X62))
        & subactivity_occurrence(X62,esk4_3(X60,X61,X62)) ) ),
    inference(skolemize,[status(esa)],[134]) ).

fof(136,plain,
    ! [X60,X61,X62] :
      ( ( occurrence_of(esk4_3(X60,X61,X62),X60)
        | ~ min_precedes(X61,X62,X60) )
      & ( subactivity_occurrence(X61,esk4_3(X60,X61,X62))
        | ~ min_precedes(X61,X62,X60) )
      & ( subactivity_occurrence(X62,esk4_3(X60,X61,X62))
        | ~ min_precedes(X61,X62,X60) ) ),
    inference(distribute,[status(thm)],[135]) ).

cnf(137,plain,
    ( subactivity_occurrence(X2,esk4_3(X3,X1,X2))
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[136]) ).

cnf(139,plain,
    ( occurrence_of(esk4_3(X3,X1,X2),X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[136]) ).

fof(140,plain,
    ! [X60,X61] :
      ( ~ leaf(X60,X61)
      | atomic(X61)
      | ? [X62] :
          ( occurrence_of(X62,X61)
          & leaf_occ(X60,X62) ) ),
    inference(fof_nnf,[status(thm)],[58]) ).

fof(141,plain,
    ! [X63,X64] :
      ( ~ leaf(X63,X64)
      | atomic(X64)
      | ? [X65] :
          ( occurrence_of(X65,X64)
          & leaf_occ(X63,X65) ) ),
    inference(variable_rename,[status(thm)],[140]) ).

fof(142,plain,
    ! [X63,X64] :
      ( ~ leaf(X63,X64)
      | atomic(X64)
      | ( occurrence_of(esk5_2(X63,X64),X64)
        & leaf_occ(X63,esk5_2(X63,X64)) ) ),
    inference(skolemize,[status(esa)],[141]) ).

fof(143,plain,
    ! [X63,X64] :
      ( ( occurrence_of(esk5_2(X63,X64),X64)
        | ~ leaf(X63,X64)
        | atomic(X64) )
      & ( leaf_occ(X63,esk5_2(X63,X64))
        | ~ leaf(X63,X64)
        | atomic(X64) ) ),
    inference(distribute,[status(thm)],[142]) ).

cnf(144,plain,
    ( atomic(X1)
    | leaf_occ(X2,esk5_2(X2,X1))
    | ~ leaf(X2,X1) ),
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(145,plain,
    ( atomic(X1)
    | occurrence_of(esk5_2(X2,X1),X1)
    | ~ leaf(X2,X1) ),
    inference(split_conjunct,[status(thm)],[143]) ).

fof(149,plain,
    ! [X67,X68] :
      ( ~ root(X68,X67)
      | ? [X69] :
          ( subactivity(X69,X67)
          & atocc(X68,X69) ) ),
    inference(fof_nnf,[status(thm)],[25]) ).

fof(150,plain,
    ! [X70,X71] :
      ( ~ root(X71,X70)
      | ? [X72] :
          ( subactivity(X72,X70)
          & atocc(X71,X72) ) ),
    inference(variable_rename,[status(thm)],[149]) ).

fof(151,plain,
    ! [X70,X71] :
      ( ~ root(X71,X70)
      | ( subactivity(esk6_2(X70,X71),X70)
        & atocc(X71,esk6_2(X70,X71)) ) ),
    inference(skolemize,[status(esa)],[150]) ).

fof(152,plain,
    ! [X70,X71] :
      ( ( subactivity(esk6_2(X70,X71),X70)
        | ~ root(X71,X70) )
      & ( atocc(X71,esk6_2(X70,X71))
        | ~ root(X71,X70) ) ),
    inference(distribute,[status(thm)],[151]) ).

cnf(153,plain,
    ( atocc(X1,esk6_2(X2,X1))
    | ~ root(X1,X2) ),
    inference(split_conjunct,[status(thm)],[152]) ).

fof(157,plain,
    ! [X70] :
      ( ~ occurrence_of(X70,tptp0)
      | ? [X71,X72] :
          ( occurrence_of(X71,tptp4)
          & root_occ(X71,X70)
          & occurrence_of(X72,tptp3)
          & leaf_occ(X72,X70)
          & next_subocc(X71,X72,tptp0) ) ),
    inference(fof_nnf,[status(thm)],[28]) ).

fof(158,plain,
    ! [X73] :
      ( ~ occurrence_of(X73,tptp0)
      | ? [X74,X75] :
          ( occurrence_of(X74,tptp4)
          & root_occ(X74,X73)
          & occurrence_of(X75,tptp3)
          & leaf_occ(X75,X73)
          & next_subocc(X74,X75,tptp0) ) ),
    inference(variable_rename,[status(thm)],[157]) ).

fof(159,plain,
    ! [X73] :
      ( ~ occurrence_of(X73,tptp0)
      | ( occurrence_of(esk7_1(X73),tptp4)
        & root_occ(esk7_1(X73),X73)
        & occurrence_of(esk8_1(X73),tptp3)
        & leaf_occ(esk8_1(X73),X73)
        & next_subocc(esk7_1(X73),esk8_1(X73),tptp0) ) ),
    inference(skolemize,[status(esa)],[158]) ).

fof(160,plain,
    ! [X73] :
      ( ( occurrence_of(esk7_1(X73),tptp4)
        | ~ occurrence_of(X73,tptp0) )
      & ( root_occ(esk7_1(X73),X73)
        | ~ occurrence_of(X73,tptp0) )
      & ( occurrence_of(esk8_1(X73),tptp3)
        | ~ occurrence_of(X73,tptp0) )
      & ( leaf_occ(esk8_1(X73),X73)
        | ~ occurrence_of(X73,tptp0) )
      & ( next_subocc(esk7_1(X73),esk8_1(X73),tptp0)
        | ~ occurrence_of(X73,tptp0) ) ),
    inference(distribute,[status(thm)],[159]) ).

cnf(161,plain,
    ( next_subocc(esk7_1(X1),esk8_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[160]) ).

cnf(162,plain,
    ( leaf_occ(esk8_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[160]) ).

cnf(163,plain,
    ( occurrence_of(esk8_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[160]) ).

cnf(164,plain,
    ( root_occ(esk7_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[160]) ).

cnf(165,plain,
    ( occurrence_of(esk7_1(X1),tptp4)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[160]) ).

cnf(175,plain,
    ~ atomic(tptp0),
    inference(split_conjunct,[status(thm)],[59]) ).

cnf(177,plain,
    atomic(tptp1),
    inference(split_conjunct,[status(thm)],[36]) ).

fof(178,plain,
    ! [X80,X81,X82] :
      ( ( ~ next_subocc(X80,X81,X82)
        | ( min_precedes(X80,X81,X82)
          & ! [X83] :
              ( ~ min_precedes(X80,X83,X82)
              | ~ min_precedes(X83,X81,X82) ) ) )
      & ( ~ min_precedes(X80,X81,X82)
        | ? [X83] :
            ( min_precedes(X80,X83,X82)
            & min_precedes(X83,X81,X82) )
        | next_subocc(X80,X81,X82) ) ),
    inference(fof_nnf,[status(thm)],[37]) ).

fof(179,plain,
    ! [X84,X85,X86] :
      ( ( ~ next_subocc(X84,X85,X86)
        | ( min_precedes(X84,X85,X86)
          & ! [X87] :
              ( ~ min_precedes(X84,X87,X86)
              | ~ min_precedes(X87,X85,X86) ) ) )
      & ( ~ min_precedes(X84,X85,X86)
        | ? [X88] :
            ( min_precedes(X84,X88,X86)
            & min_precedes(X88,X85,X86) )
        | next_subocc(X84,X85,X86) ) ),
    inference(variable_rename,[status(thm)],[178]) ).

fof(180,plain,
    ! [X84,X85,X86] :
      ( ( ~ next_subocc(X84,X85,X86)
        | ( min_precedes(X84,X85,X86)
          & ! [X87] :
              ( ~ min_precedes(X84,X87,X86)
              | ~ min_precedes(X87,X85,X86) ) ) )
      & ( ~ min_precedes(X84,X85,X86)
        | ( min_precedes(X84,esk9_3(X84,X85,X86),X86)
          & min_precedes(esk9_3(X84,X85,X86),X85,X86) )
        | next_subocc(X84,X85,X86) ) ),
    inference(skolemize,[status(esa)],[179]) ).

fof(181,plain,
    ! [X84,X85,X86,X87] :
      ( ( ( ( ~ min_precedes(X84,X87,X86)
            | ~ min_precedes(X87,X85,X86) )
          & min_precedes(X84,X85,X86) )
        | ~ next_subocc(X84,X85,X86) )
      & ( ~ min_precedes(X84,X85,X86)
        | ( min_precedes(X84,esk9_3(X84,X85,X86),X86)
          & min_precedes(esk9_3(X84,X85,X86),X85,X86) )
        | next_subocc(X84,X85,X86) ) ),
    inference(shift_quantors,[status(thm)],[180]) ).

fof(182,plain,
    ! [X84,X85,X86,X87] :
      ( ( ~ min_precedes(X84,X87,X86)
        | ~ min_precedes(X87,X85,X86)
        | ~ next_subocc(X84,X85,X86) )
      & ( min_precedes(X84,X85,X86)
        | ~ next_subocc(X84,X85,X86) )
      & ( min_precedes(X84,esk9_3(X84,X85,X86),X86)
        | ~ min_precedes(X84,X85,X86)
        | next_subocc(X84,X85,X86) )
      & ( min_precedes(esk9_3(X84,X85,X86),X85,X86)
        | ~ min_precedes(X84,X85,X86)
        | next_subocc(X84,X85,X86) ) ),
    inference(distribute,[status(thm)],[181]) ).

cnf(185,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[182]) ).

fof(187,plain,
    ! [X84,X85] :
      ( ( ~ root_occ(X84,X85)
        | ? [X86] :
            ( occurrence_of(X85,X86)
            & subactivity_occurrence(X84,X85)
            & root(X84,X86) ) )
      & ( ! [X86] :
            ( ~ occurrence_of(X85,X86)
            | ~ subactivity_occurrence(X84,X85)
            | ~ root(X84,X86) )
        | root_occ(X84,X85) ) ),
    inference(fof_nnf,[status(thm)],[38]) ).

fof(188,plain,
    ! [X87,X88] :
      ( ( ~ root_occ(X87,X88)
        | ? [X89] :
            ( occurrence_of(X88,X89)
            & subactivity_occurrence(X87,X88)
            & root(X87,X89) ) )
      & ( ! [X90] :
            ( ~ occurrence_of(X88,X90)
            | ~ subactivity_occurrence(X87,X88)
            | ~ root(X87,X90) )
        | root_occ(X87,X88) ) ),
    inference(variable_rename,[status(thm)],[187]) ).

fof(189,plain,
    ! [X87,X88] :
      ( ( ~ root_occ(X87,X88)
        | ( occurrence_of(X88,esk10_2(X87,X88))
          & subactivity_occurrence(X87,X88)
          & root(X87,esk10_2(X87,X88)) ) )
      & ( ! [X90] :
            ( ~ occurrence_of(X88,X90)
            | ~ subactivity_occurrence(X87,X88)
            | ~ root(X87,X90) )
        | root_occ(X87,X88) ) ),
    inference(skolemize,[status(esa)],[188]) ).

fof(190,plain,
    ! [X87,X88,X90] :
      ( ( ~ occurrence_of(X88,X90)
        | ~ subactivity_occurrence(X87,X88)
        | ~ root(X87,X90)
        | root_occ(X87,X88) )
      & ( ~ root_occ(X87,X88)
        | ( occurrence_of(X88,esk10_2(X87,X88))
          & subactivity_occurrence(X87,X88)
          & root(X87,esk10_2(X87,X88)) ) ) ),
    inference(shift_quantors,[status(thm)],[189]) ).

fof(191,plain,
    ! [X87,X88,X90] :
      ( ( ~ occurrence_of(X88,X90)
        | ~ subactivity_occurrence(X87,X88)
        | ~ root(X87,X90)
        | root_occ(X87,X88) )
      & ( occurrence_of(X88,esk10_2(X87,X88))
        | ~ root_occ(X87,X88) )
      & ( subactivity_occurrence(X87,X88)
        | ~ root_occ(X87,X88) )
      & ( root(X87,esk10_2(X87,X88))
        | ~ root_occ(X87,X88) ) ),
    inference(distribute,[status(thm)],[190]) ).

cnf(192,plain,
    ( root(X1,esk10_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(193,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(194,plain,
    ( occurrence_of(X2,esk10_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(195,plain,
    ( root_occ(X1,X2)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3) ),
    inference(split_conjunct,[status(thm)],[191]) ).

fof(196,plain,
    ! [X87,X88] :
      ( ( ~ leaf_occ(X87,X88)
        | ? [X89] :
            ( occurrence_of(X88,X89)
            & subactivity_occurrence(X87,X88)
            & leaf(X87,X89) ) )
      & ( ! [X89] :
            ( ~ occurrence_of(X88,X89)
            | ~ subactivity_occurrence(X87,X88)
            | ~ leaf(X87,X89) )
        | leaf_occ(X87,X88) ) ),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(197,plain,
    ! [X90,X91] :
      ( ( ~ leaf_occ(X90,X91)
        | ? [X92] :
            ( occurrence_of(X91,X92)
            & subactivity_occurrence(X90,X91)
            & leaf(X90,X92) ) )
      & ( ! [X93] :
            ( ~ occurrence_of(X91,X93)
            | ~ subactivity_occurrence(X90,X91)
            | ~ leaf(X90,X93) )
        | leaf_occ(X90,X91) ) ),
    inference(variable_rename,[status(thm)],[196]) ).

fof(198,plain,
    ! [X90,X91] :
      ( ( ~ leaf_occ(X90,X91)
        | ( occurrence_of(X91,esk11_2(X90,X91))
          & subactivity_occurrence(X90,X91)
          & leaf(X90,esk11_2(X90,X91)) ) )
      & ( ! [X93] :
            ( ~ occurrence_of(X91,X93)
            | ~ subactivity_occurrence(X90,X91)
            | ~ leaf(X90,X93) )
        | leaf_occ(X90,X91) ) ),
    inference(skolemize,[status(esa)],[197]) ).

fof(199,plain,
    ! [X90,X91,X93] :
      ( ( ~ occurrence_of(X91,X93)
        | ~ subactivity_occurrence(X90,X91)
        | ~ leaf(X90,X93)
        | leaf_occ(X90,X91) )
      & ( ~ leaf_occ(X90,X91)
        | ( occurrence_of(X91,esk11_2(X90,X91))
          & subactivity_occurrence(X90,X91)
          & leaf(X90,esk11_2(X90,X91)) ) ) ),
    inference(shift_quantors,[status(thm)],[198]) ).

fof(200,plain,
    ! [X90,X91,X93] :
      ( ( ~ occurrence_of(X91,X93)
        | ~ subactivity_occurrence(X90,X91)
        | ~ leaf(X90,X93)
        | leaf_occ(X90,X91) )
      & ( occurrence_of(X91,esk11_2(X90,X91))
        | ~ leaf_occ(X90,X91) )
      & ( subactivity_occurrence(X90,X91)
        | ~ leaf_occ(X90,X91) )
      & ( leaf(X90,esk11_2(X90,X91))
        | ~ leaf_occ(X90,X91) ) ),
    inference(distribute,[status(thm)],[199]) ).

cnf(201,plain,
    ( leaf(X1,esk11_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[200]) ).

cnf(202,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[200]) ).

cnf(203,plain,
    ( occurrence_of(X2,esk11_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[200]) ).

fof(210,plain,
    ! [X92,X93,X94] :
      ( ~ occurrence_of(X92,X94)
      | ~ root_occ(X93,X92)
      | ! [X95] : ~ min_precedes(X95,X93,X94) ),
    inference(fof_nnf,[status(thm)],[41]) ).

fof(211,plain,
    ! [X96,X97,X98] :
      ( ~ occurrence_of(X96,X98)
      | ~ root_occ(X97,X96)
      | ! [X99] : ~ min_precedes(X99,X97,X98) ),
    inference(variable_rename,[status(thm)],[210]) ).

fof(212,plain,
    ! [X96,X97,X98,X99] :
      ( ~ min_precedes(X99,X97,X98)
      | ~ occurrence_of(X96,X98)
      | ~ root_occ(X97,X96) ),
    inference(shift_quantors,[status(thm)],[211]) ).

cnf(213,plain,
    ( ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ min_precedes(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[212]) ).

fof(217,plain,
    ! [X97] :
      ( ~ activity_occurrence(X97)
      | ? [X98] :
          ( activity(X98)
          & occurrence_of(X97,X98) ) ),
    inference(fof_nnf,[status(thm)],[43]) ).

fof(218,plain,
    ! [X99] :
      ( ~ activity_occurrence(X99)
      | ? [X100] :
          ( activity(X100)
          & occurrence_of(X99,X100) ) ),
    inference(variable_rename,[status(thm)],[217]) ).

fof(219,plain,
    ! [X99] :
      ( ~ activity_occurrence(X99)
      | ( activity(esk12_1(X99))
        & occurrence_of(X99,esk12_1(X99)) ) ),
    inference(skolemize,[status(esa)],[218]) ).

fof(220,plain,
    ! [X99] :
      ( ( activity(esk12_1(X99))
        | ~ activity_occurrence(X99) )
      & ( occurrence_of(X99,esk12_1(X99))
        | ~ activity_occurrence(X99) ) ),
    inference(distribute,[status(thm)],[219]) ).

cnf(221,plain,
    ( occurrence_of(X1,esk12_1(X1))
    | ~ activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[220]) ).

fof(223,plain,
    ! [X99,X100] :
      ( ( ~ leaf(X99,X100)
        | ( ( root(X99,X100)
            | ? [X101] : min_precedes(X101,X99,X100) )
          & ! [X102] : ~ min_precedes(X99,X102,X100) ) )
      & ( ( ~ root(X99,X100)
          & ! [X101] : ~ min_precedes(X101,X99,X100) )
        | ? [X102] : min_precedes(X99,X102,X100)
        | leaf(X99,X100) ) ),
    inference(fof_nnf,[status(thm)],[44]) ).

fof(224,plain,
    ! [X103,X104] :
      ( ( ~ leaf(X103,X104)
        | ( ( root(X103,X104)
            | ? [X105] : min_precedes(X105,X103,X104) )
          & ! [X106] : ~ min_precedes(X103,X106,X104) ) )
      & ( ( ~ root(X103,X104)
          & ! [X107] : ~ min_precedes(X107,X103,X104) )
        | ? [X108] : min_precedes(X103,X108,X104)
        | leaf(X103,X104) ) ),
    inference(variable_rename,[status(thm)],[223]) ).

fof(225,plain,
    ! [X103,X104] :
      ( ( ~ leaf(X103,X104)
        | ( ( root(X103,X104)
            | min_precedes(esk13_2(X103,X104),X103,X104) )
          & ! [X106] : ~ min_precedes(X103,X106,X104) ) )
      & ( ( ~ root(X103,X104)
          & ! [X107] : ~ min_precedes(X107,X103,X104) )
        | min_precedes(X103,esk14_2(X103,X104),X104)
        | leaf(X103,X104) ) ),
    inference(skolemize,[status(esa)],[224]) ).

fof(226,plain,
    ! [X103,X104,X106,X107] :
      ( ( ( ~ min_precedes(X107,X103,X104)
          & ~ root(X103,X104) )
        | min_precedes(X103,esk14_2(X103,X104),X104)
        | leaf(X103,X104) )
      & ( ( ~ min_precedes(X103,X106,X104)
          & ( root(X103,X104)
            | min_precedes(esk13_2(X103,X104),X103,X104) ) )
        | ~ leaf(X103,X104) ) ),
    inference(shift_quantors,[status(thm)],[225]) ).

fof(227,plain,
    ! [X103,X104,X106,X107] :
      ( ( ~ min_precedes(X107,X103,X104)
        | min_precedes(X103,esk14_2(X103,X104),X104)
        | leaf(X103,X104) )
      & ( ~ root(X103,X104)
        | min_precedes(X103,esk14_2(X103,X104),X104)
        | leaf(X103,X104) )
      & ( ~ min_precedes(X103,X106,X104)
        | ~ leaf(X103,X104) )
      & ( root(X103,X104)
        | min_precedes(esk13_2(X103,X104),X103,X104)
        | ~ leaf(X103,X104) ) ),
    inference(distribute,[status(thm)],[226]) ).

cnf(228,plain,
    ( min_precedes(esk13_2(X1,X2),X1,X2)
    | root(X1,X2)
    | ~ leaf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[227]) ).

cnf(229,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[227]) ).

cnf(231,plain,
    ( leaf(X1,X2)
    | min_precedes(X1,esk14_2(X1,X2),X2)
    | ~ min_precedes(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[227]) ).

fof(232,plain,
    ! [X103,X104] :
      ( ( ~ atocc(X103,X104)
        | ? [X105] :
            ( subactivity(X104,X105)
            & atomic(X105)
            & occurrence_of(X103,X105) ) )
      & ( ! [X105] :
            ( ~ subactivity(X104,X105)
            | ~ atomic(X105)
            | ~ occurrence_of(X103,X105) )
        | atocc(X103,X104) ) ),
    inference(fof_nnf,[status(thm)],[45]) ).

fof(233,plain,
    ! [X106,X107] :
      ( ( ~ atocc(X106,X107)
        | ? [X108] :
            ( subactivity(X107,X108)
            & atomic(X108)
            & occurrence_of(X106,X108) ) )
      & ( ! [X109] :
            ( ~ subactivity(X107,X109)
            | ~ atomic(X109)
            | ~ occurrence_of(X106,X109) )
        | atocc(X106,X107) ) ),
    inference(variable_rename,[status(thm)],[232]) ).

fof(234,plain,
    ! [X106,X107] :
      ( ( ~ atocc(X106,X107)
        | ( subactivity(X107,esk15_2(X106,X107))
          & atomic(esk15_2(X106,X107))
          & occurrence_of(X106,esk15_2(X106,X107)) ) )
      & ( ! [X109] :
            ( ~ subactivity(X107,X109)
            | ~ atomic(X109)
            | ~ occurrence_of(X106,X109) )
        | atocc(X106,X107) ) ),
    inference(skolemize,[status(esa)],[233]) ).

fof(235,plain,
    ! [X106,X107,X109] :
      ( ( ~ subactivity(X107,X109)
        | ~ atomic(X109)
        | ~ occurrence_of(X106,X109)
        | atocc(X106,X107) )
      & ( ~ atocc(X106,X107)
        | ( subactivity(X107,esk15_2(X106,X107))
          & atomic(esk15_2(X106,X107))
          & occurrence_of(X106,esk15_2(X106,X107)) ) ) ),
    inference(shift_quantors,[status(thm)],[234]) ).

fof(236,plain,
    ! [X106,X107,X109] :
      ( ( ~ subactivity(X107,X109)
        | ~ atomic(X109)
        | ~ occurrence_of(X106,X109)
        | atocc(X106,X107) )
      & ( subactivity(X107,esk15_2(X106,X107))
        | ~ atocc(X106,X107) )
      & ( atomic(esk15_2(X106,X107))
        | ~ atocc(X106,X107) )
      & ( occurrence_of(X106,esk15_2(X106,X107))
        | ~ atocc(X106,X107) ) ),
    inference(distribute,[status(thm)],[235]) ).

cnf(237,plain,
    ( occurrence_of(X1,esk15_2(X1,X2))
    | ~ atocc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[236]) ).

cnf(238,plain,
    ( atomic(esk15_2(X1,X2))
    | ~ atocc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[236]) ).

cnf(239,plain,
    ( subactivity(X2,esk15_2(X1,X2))
    | ~ atocc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[236]) ).

cnf(240,plain,
    ( atocc(X1,X2)
    | ~ occurrence_of(X1,X3)
    | ~ atomic(X3)
    | ~ subactivity(X2,X3) ),
    inference(split_conjunct,[status(thm)],[236]) ).

fof(244,plain,
    ! [X108,X109] :
      ( ~ occurrence_of(X108,X109)
      | ( ( ~ arboreal(X108)
          | atomic(X109) )
        & ( ~ atomic(X109)
          | arboreal(X108) ) ) ),
    inference(fof_nnf,[status(thm)],[47]) ).

fof(245,plain,
    ! [X110,X111] :
      ( ~ occurrence_of(X110,X111)
      | ( ( ~ arboreal(X110)
          | atomic(X111) )
        & ( ~ atomic(X111)
          | arboreal(X110) ) ) ),
    inference(variable_rename,[status(thm)],[244]) ).

fof(246,plain,
    ! [X110,X111] :
      ( ( ~ arboreal(X110)
        | atomic(X111)
        | ~ occurrence_of(X110,X111) )
      & ( ~ atomic(X111)
        | arboreal(X110)
        | ~ occurrence_of(X110,X111) ) ),
    inference(distribute,[status(thm)],[245]) ).

cnf(247,plain,
    ( arboreal(X1)
    | ~ occurrence_of(X1,X2)
    | ~ atomic(X2) ),
    inference(split_conjunct,[status(thm)],[246]) ).

fof(252,negated_conjecture,
    ? [X112] : occurrence_of(X112,tptp0),
    inference(fof_nnf,[status(thm)],[50]) ).

fof(253,negated_conjecture,
    ? [X113] : occurrence_of(X113,tptp0),
    inference(variable_rename,[status(thm)],[252]) ).

fof(254,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    inference(skolemize,[status(esa)],[253]) ).

cnf(255,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    inference(split_conjunct,[status(thm)],[254]) ).

cnf(261,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[113,255,theory(equality)]) ).

cnf(262,plain,
    ( X1 = tptp4
    | ~ occurrence_of(esk7_1(X2),X1)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[113,165,theory(equality)]) ).

cnf(268,plain,
    ( X1 = esk12_1(X2)
    | ~ occurrence_of(X2,X1)
    | ~ activity_occurrence(X2) ),
    inference(spm,[status(thm)],[113,221,theory(equality)]) ).

cnf(278,plain,
    ( subactivity_occurrence(esk7_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[193,164,theory(equality)]) ).

cnf(299,plain,
    ( arboreal(X1)
    | ~ atomic(esk15_2(X1,X2))
    | ~ atocc(X1,X2) ),
    inference(spm,[status(thm)],[247,237,theory(equality)]) ).

cnf(304,plain,
    ( min_precedes(esk7_1(X1),esk8_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[185,161,theory(equality)]) ).

cnf(311,plain,
    ( atocc(X1,X2)
    | ~ atomic(esk15_2(X3,X2))
    | ~ occurrence_of(X1,esk15_2(X3,X2))
    | ~ atocc(X3,X2) ),
    inference(spm,[status(thm)],[240,239,theory(equality)]) ).

cnf(321,plain,
    ( X1 = esk7_1(X2)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[101,164,theory(equality)]) ).

cnf(326,plain,
    ( X1 = esk8_1(X2)
    | atomic(X3)
    | ~ leaf_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[98,162,theory(equality)]) ).

cnf(336,plain,
    ( root_occ(esk1_2(X1,X2),X3)
    | atomic(X1)
    | ~ subactivity_occurrence(esk1_2(X1,X2),X3)
    | ~ occurrence_of(X3,X1)
    | ~ occurrence_of(X2,X1) ),
    inference(spm,[status(thm)],[195,74,theory(equality)]) ).

cnf(349,plain,
    ( root(X1,X3)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ leaf(X1,X3) ),
    inference(spm,[status(thm)],[213,228,theory(equality)]) ).

cnf(374,plain,
    ( arboreal(esk3_2(X1,X2))
    | leaf_occ(X1,X2)
    | ~ atomic(tptp1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[247,110,theory(equality)]) ).

cnf(376,plain,
    ( arboreal(esk3_2(X1,X2))
    | leaf_occ(X1,X2)
    | $false
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(rw,[status(thm)],[374,177,theory(equality)]) ).

cnf(377,plain,
    ( arboreal(esk3_2(X1,X2))
    | leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(cn,[status(thm)],[376,theory(equality)]) ).

cnf(384,plain,
    ( esk8_1(X1) = X2
    | min_precedes(X2,esk8_1(X1),X3)
    | ~ subactivity_occurrence(X2,X1)
    | ~ occurrence_of(X1,X3)
    | ~ arboreal(X2)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[124,162,theory(equality)]) ).

cnf(388,plain,
    ( min_precedes(X1,esk3_2(X1,X2),tptp0)
    | leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[185,109,theory(equality)]) ).

cnf(400,negated_conjecture,
    ( esk10_2(X1,esk16_0) = tptp0
    | ~ root_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[261,194,theory(equality)]) ).

cnf(401,negated_conjecture,
    ( esk11_2(X1,esk16_0) = tptp0
    | ~ leaf_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[261,203,theory(equality)]) ).

cnf(437,plain,
    ( root(X1,esk11_2(X1,X2))
    | ~ root_occ(X1,X3)
    | ~ occurrence_of(X3,esk11_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(spm,[status(thm)],[349,201,theory(equality)]) ).

cnf(450,negated_conjecture,
    ( root(X1,tptp0)
    | ~ root_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[192,400,theory(equality)]) ).

cnf(454,plain,
    ( X1 = esk12_1(X2)
    | ~ occurrence_of(X2,X1) ),
    inference(csr,[status(thm)],[268,128]) ).

cnf(456,plain,
    ( tptp4 = esk12_1(esk7_1(X1))
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[454,165,theory(equality)]) ).

cnf(457,plain,
    ( tptp3 = esk12_1(esk8_1(X1))
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[454,163,theory(equality)]) ).

cnf(460,plain,
    ( esk15_2(X1,X2) = esk12_1(X1)
    | ~ atocc(X1,X2) ),
    inference(spm,[status(thm)],[454,237,theory(equality)]) ).

cnf(463,plain,
    ( tptp1 = esk12_1(esk3_2(X1,X2))
    | leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[454,110,theory(equality)]) ).

cnf(476,negated_conjecture,
    ( root_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ root_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[195,450,theory(equality)]) ).

cnf(495,plain,
    ( root(X1,esk11_2(X1,X2))
    | ~ root_occ(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    inference(spm,[status(thm)],[437,203,theory(equality)]) ).

cnf(499,negated_conjecture,
    ( leaf(X1,tptp0)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[201,401,theory(equality)]) ).

cnf(500,negated_conjecture,
    ( root(X1,tptp0)
    | ~ root_occ(X1,X2)
    | ~ leaf_occ(X1,esk16_0)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[437,401,theory(equality)]) ).

cnf(528,plain,
    ( root_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,esk11_2(X1,X3))
    | ~ root_occ(X1,X3)
    | ~ leaf_occ(X1,X3) ),
    inference(spm,[status(thm)],[195,495,theory(equality)]) ).

cnf(591,negated_conjecture,
    ( root_occ(X1,X2)
    | ~ root_occ(X1,esk16_0)
    | ~ leaf_occ(X1,esk16_0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[528,401,theory(equality)]) ).

cnf(592,negated_conjecture,
    ( root_occ(esk7_1(esk16_0),X1)
    | ~ leaf_occ(esk7_1(esk16_0),esk16_0)
    | ~ subactivity_occurrence(esk7_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[591,164,theory(equality)]) ).

cnf(594,negated_conjecture,
    ( root_occ(esk7_1(esk16_0),X1)
    | ~ leaf_occ(esk7_1(esk16_0),esk16_0)
    | ~ subactivity_occurrence(esk7_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0)
    | $false ),
    inference(rw,[status(thm)],[592,255,theory(equality)]) ).

cnf(595,negated_conjecture,
    ( root_occ(esk7_1(esk16_0),X1)
    | ~ leaf_occ(esk7_1(esk16_0),esk16_0)
    | ~ subactivity_occurrence(esk7_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(cn,[status(thm)],[594,theory(equality)]) ).

cnf(614,negated_conjecture,
    ( root(esk7_1(esk16_0),tptp0)
    | ~ leaf_occ(esk7_1(esk16_0),esk16_0)
    | ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(esk7_1(esk16_0),X1) ),
    inference(spm,[status(thm)],[500,595,theory(equality)]) ).

cnf(724,negated_conjecture,
    ( root(esk7_1(esk16_0),tptp0)
    | ~ leaf_occ(esk7_1(esk16_0),esk16_0)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[614,278,theory(equality)]) ).

cnf(725,negated_conjecture,
    ( root(esk7_1(esk16_0),tptp0)
    | ~ leaf_occ(esk7_1(esk16_0),esk16_0)
    | $false ),
    inference(rw,[status(thm)],[724,255,theory(equality)]) ).

cnf(726,negated_conjecture,
    ( root(esk7_1(esk16_0),tptp0)
    | ~ leaf_occ(esk7_1(esk16_0),esk16_0) ),
    inference(cn,[status(thm)],[725,theory(equality)]) ).

cnf(810,plain,
    ( arboreal(X1)
    | ~ atocc(X1,X2) ),
    inference(csr,[status(thm)],[299,238]) ).

cnf(811,plain,
    ( arboreal(X1)
    | ~ root(X1,X2) ),
    inference(spm,[status(thm)],[810,153,theory(equality)]) ).

cnf(859,plain,
    ( ~ root(esk8_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[89,304,theory(equality)]) ).

cnf(965,plain,
    ( atocc(X1,X2)
    | ~ atocc(X3,X2)
    | ~ occurrence_of(X1,esk15_2(X3,X2)) ),
    inference(csr,[status(thm)],[311,238]) ).

cnf(1010,plain,
    ( occurrence_of(X1,esk12_1(X1))
    | ~ atocc(X1,X2) ),
    inference(spm,[status(thm)],[237,460,theory(equality)]) ).

cnf(1029,plain,
    ( atocc(X1,X2)
    | ~ atocc(X3,X2)
    | ~ occurrence_of(X1,esk12_1(X3)) ),
    inference(spm,[status(thm)],[965,460,theory(equality)]) ).

cnf(1042,plain,
    ( occurrence_of(X1,esk12_1(X1))
    | ~ root(X1,X2) ),
    inference(spm,[status(thm)],[1010,153,theory(equality)]) ).

cnf(1044,plain,
    ( occurrence_of(X1,esk12_1(X1))
    | ~ root_occ(X1,X2) ),
    inference(spm,[status(thm)],[1042,192,theory(equality)]) ).

cnf(1216,plain,
    ( X1 = esk8_1(esk5_2(X1,X2))
    | atomic(X3)
    | atomic(X2)
    | ~ occurrence_of(esk5_2(X1,X2),tptp0)
    | ~ occurrence_of(esk5_2(X1,X2),X3)
    | ~ leaf(X1,X2) ),
    inference(spm,[status(thm)],[326,144,theory(equality)]) ).

cnf(1431,plain,
    ( esk1_2(X1,X2) = esk7_1(X3)
    | atomic(X1)
    | ~ occurrence_of(X3,tptp0)
    | ~ occurrence_of(X3,X4)
    | ~ subactivity_occurrence(esk1_2(X1,X2),X3)
    | ~ occurrence_of(X3,X1)
    | ~ occurrence_of(X2,X1) ),
    inference(spm,[status(thm)],[321,336,theory(equality)]) ).

cnf(1703,negated_conjecture,
    ( root_occ(esk7_1(esk16_0),X1)
    | ~ subactivity_occurrence(esk7_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[476,164,theory(equality)]) ).

cnf(1708,negated_conjecture,
    ( root_occ(esk7_1(esk16_0),X1)
    | ~ subactivity_occurrence(esk7_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0)
    | $false ),
    inference(rw,[status(thm)],[1703,255,theory(equality)]) ).

cnf(1709,negated_conjecture,
    ( root_occ(esk7_1(esk16_0),X1)
    | ~ subactivity_occurrence(esk7_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(cn,[status(thm)],[1708,theory(equality)]) ).

cnf(1725,negated_conjecture,
    ( occurrence_of(esk7_1(esk16_0),esk12_1(esk7_1(esk16_0)))
    | ~ subactivity_occurrence(esk7_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[1044,1709,theory(equality)]) ).

cnf(2006,plain,
    ( esk8_1(X3) = X1
    | ~ leaf(X1,X2)
    | ~ subactivity_occurrence(X1,X3)
    | ~ occurrence_of(X3,tptp0)
    | ~ occurrence_of(X3,X2)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[229,384,theory(equality)]) ).

cnf(2101,plain,
    ( leaf_occ(X1,X2)
    | ~ root_occ(esk3_2(X1,X2),X3)
    | ~ occurrence_of(X3,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[213,388,theory(equality)]) ).

cnf(2103,plain,
    ( leaf(esk3_2(X1,X2),tptp0)
    | min_precedes(esk3_2(X1,X2),esk14_2(esk3_2(X1,X2),tptp0),tptp0)
    | leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[231,388,theory(equality)]) ).

cnf(2239,plain,
    ( leaf_occ(X1,X2)
    | leaf_occ(esk3_2(X1,X2),X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X3,tptp0)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(esk3_2(X1,X2),X3)
    | ~ arboreal(esk3_2(X1,X2)) ),
    inference(spm,[status(thm)],[2101,104,theory(equality)]) ).

cnf(2334,plain,
    ( esk8_1(X1) = X2
    | ~ subactivity_occurrence(X2,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ occurrence_of(X1,esk11_2(X2,X3))
    | ~ arboreal(X2)
    | ~ leaf_occ(X2,X3) ),
    inference(spm,[status(thm)],[2006,201,theory(equality)]) ).

cnf(2360,plain,
    ( esk8_1(X1) = X2
    | ~ leaf_occ(X2,X1)
    | ~ subactivity_occurrence(X2,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X2) ),
    inference(spm,[status(thm)],[2334,203,theory(equality)]) ).

cnf(2367,plain,
    ( esk8_1(X1) = X2
    | ~ leaf_occ(X2,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X2) ),
    inference(csr,[status(thm)],[2360,202]) ).

cnf(2368,plain,
    ( esk8_1(esk5_2(X1,X2)) = X1
    | atomic(X2)
    | ~ occurrence_of(esk5_2(X1,X2),tptp0)
    | ~ arboreal(X1)
    | ~ leaf(X1,X2) ),
    inference(spm,[status(thm)],[2367,144,theory(equality)]) ).

cnf(2398,plain,
    ( atomic(X2)
    | ~ root(X1,tptp0)
    | ~ occurrence_of(esk5_2(X1,X2),tptp0)
    | ~ leaf(X1,X2)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[859,2368,theory(equality)]) ).

cnf(3093,plain,
    ( atomic(X2)
    | ~ leaf(X1,X2)
    | ~ root(X1,tptp0)
    | ~ occurrence_of(esk5_2(X1,X2),tptp0) ),
    inference(csr,[status(thm)],[2398,811]) ).

cnf(3094,plain,
    ( atomic(tptp0)
    | ~ leaf(X1,tptp0)
    | ~ root(X1,tptp0) ),
    inference(spm,[status(thm)],[3093,145,theory(equality)]) ).

cnf(3095,plain,
    ( ~ leaf(X1,tptp0)
    | ~ root(X1,tptp0) ),
    inference(sr,[status(thm)],[3094,175,theory(equality)]) ).

cnf(3097,negated_conjecture,
    ( ~ root(X1,tptp0)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[3095,499,theory(equality)]) ).

cnf(3104,negated_conjecture,
    ~ leaf_occ(esk7_1(esk16_0),esk16_0),
    inference(spm,[status(thm)],[3097,726,theory(equality)]) ).

cnf(5941,negated_conjecture,
    ( occurrence_of(esk7_1(esk16_0),esk12_1(esk7_1(esk16_0)))
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[1725,278,theory(equality)]) ).

cnf(5944,negated_conjecture,
    ( occurrence_of(esk7_1(esk16_0),esk12_1(esk7_1(esk16_0)))
    | $false ),
    inference(rw,[status(thm)],[5941,255,theory(equality)]) ).

cnf(5945,negated_conjecture,
    occurrence_of(esk7_1(esk16_0),esk12_1(esk7_1(esk16_0))),
    inference(cn,[status(thm)],[5944,theory(equality)]) ).

cnf(5953,negated_conjecture,
    ( esk12_1(esk7_1(esk16_0)) = tptp4
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[262,5945,theory(equality)]) ).

cnf(5954,negated_conjecture,
    ( occurrence_of(esk7_1(esk16_0),tptp4)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[5945,456,theory(equality)]) ).

cnf(5974,negated_conjecture,
    ( esk12_1(esk7_1(esk16_0)) = tptp4
    | $false ),
    inference(rw,[status(thm)],[5953,255,theory(equality)]) ).

cnf(5975,negated_conjecture,
    esk12_1(esk7_1(esk16_0)) = tptp4,
    inference(cn,[status(thm)],[5974,theory(equality)]) ).

cnf(5976,negated_conjecture,
    ( occurrence_of(esk7_1(esk16_0),tptp4)
    | $false ),
    inference(rw,[status(thm)],[5954,255,theory(equality)]) ).

cnf(5977,negated_conjecture,
    occurrence_of(esk7_1(esk16_0),tptp4),
    inference(cn,[status(thm)],[5976,theory(equality)]) ).

cnf(6031,negated_conjecture,
    ( atocc(X1,X2)
    | ~ atocc(esk7_1(esk16_0),X2)
    | ~ occurrence_of(X1,tptp4) ),
    inference(spm,[status(thm)],[1029,5975,theory(equality)]) ).

cnf(6517,plain,
    ( esk8_1(esk5_2(X1,X2)) = X1
    | atomic(X2)
    | ~ leaf(X1,X2)
    | ~ occurrence_of(esk5_2(X1,X2),tptp0) ),
    inference(spm,[status(thm)],[1216,145,theory(equality)]) ).

cnf(6532,negated_conjecture,
    ( atocc(X1,esk6_2(X2,esk7_1(esk16_0)))
    | ~ occurrence_of(X1,tptp4)
    | ~ root(esk7_1(esk16_0),X2) ),
    inference(spm,[status(thm)],[6031,153,theory(equality)]) ).

cnf(8330,plain,
    ( esk1_2(X1,X2) = esk7_1(X2)
    | atomic(X1)
    | ~ occurrence_of(X2,tptp0)
    | ~ occurrence_of(X2,X3)
    | ~ occurrence_of(X2,X1) ),
    inference(spm,[status(thm)],[1431,73,theory(equality)]) ).

cnf(8565,negated_conjecture,
    ( esk1_2(X1,esk16_0) = esk7_1(esk16_0)
    | atomic(X1)
    | ~ occurrence_of(esk16_0,tptp0)
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[8330,255,theory(equality)]) ).

cnf(8587,negated_conjecture,
    ( esk1_2(X1,esk16_0) = esk7_1(esk16_0)
    | atomic(X1)
    | $false
    | ~ occurrence_of(esk16_0,X1) ),
    inference(rw,[status(thm)],[8565,255,theory(equality)]) ).

cnf(8588,negated_conjecture,
    ( esk1_2(X1,esk16_0) = esk7_1(esk16_0)
    | atomic(X1)
    | ~ occurrence_of(esk16_0,X1) ),
    inference(cn,[status(thm)],[8587,theory(equality)]) ).

cnf(8590,negated_conjecture,
    ( subactivity_occurrence(esk7_1(esk16_0),esk16_0)
    | atomic(X1)
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[73,8588,theory(equality)]) ).

cnf(8708,negated_conjecture,
    ( subactivity_occurrence(esk7_1(esk16_0),esk16_0)
    | atomic(tptp0) ),
    inference(spm,[status(thm)],[8590,255,theory(equality)]) ).

cnf(8717,negated_conjecture,
    subactivity_occurrence(esk7_1(esk16_0),esk16_0),
    inference(sr,[status(thm)],[8708,175,theory(equality)]) ).

cnf(9134,negated_conjecture,
    ( arboreal(X1)
    | ~ root(esk7_1(esk16_0),X2)
    | ~ occurrence_of(X1,tptp4) ),
    inference(spm,[status(thm)],[810,6532,theory(equality)]) ).

cnf(9193,negated_conjecture,
    ( arboreal(X1)
    | ~ occurrence_of(X1,tptp4)
    | ~ root_occ(esk7_1(esk16_0),X2) ),
    inference(spm,[status(thm)],[9134,192,theory(equality)]) ).

cnf(9211,negated_conjecture,
    ( arboreal(X1)
    | ~ occurrence_of(X1,tptp4)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[9193,164,theory(equality)]) ).

cnf(9222,negated_conjecture,
    ( arboreal(X1)
    | ~ occurrence_of(X1,tptp4)
    | $false ),
    inference(rw,[status(thm)],[9211,255,theory(equality)]) ).

cnf(9223,negated_conjecture,
    ( arboreal(X1)
    | ~ occurrence_of(X1,tptp4) ),
    inference(cn,[status(thm)],[9222,theory(equality)]) ).

cnf(12077,plain,
    ( esk12_1(X1) = tptp3
    | atomic(X2)
    | ~ occurrence_of(esk5_2(X1,X2),tptp0)
    | ~ leaf(X1,X2) ),
    inference(spm,[status(thm)],[457,6517,theory(equality)]) ).

cnf(12181,plain,
    ( esk12_1(X1) = tptp3
    | atomic(tptp0)
    | ~ leaf(X1,tptp0) ),
    inference(spm,[status(thm)],[12077,145,theory(equality)]) ).

cnf(12182,plain,
    ( esk12_1(X1) = tptp3
    | ~ leaf(X1,tptp0) ),
    inference(sr,[status(thm)],[12181,175,theory(equality)]) ).

cnf(12226,plain,
    ( tptp3 = tptp1
    | leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1)
    | ~ leaf(esk3_2(X1,X2),tptp0) ),
    inference(spm,[status(thm)],[463,12182,theory(equality)]) ).

cnf(12279,plain,
    ( leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1)
    | ~ leaf(esk3_2(X1,X2),tptp0) ),
    inference(sr,[status(thm)],[12226,118,theory(equality)]) ).

cnf(15239,plain,
    ( leaf_occ(X1,X2)
    | min_precedes(esk3_2(X1,X2),esk14_2(esk3_2(X1,X2),tptp0),tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(csr,[status(thm)],[2103,12279]) ).

cnf(15243,plain,
    ( leaf_occ(X1,X2)
    | ~ leaf_occ(esk3_2(X1,X2),X3)
    | ~ occurrence_of(X3,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[117,15239,theory(equality)]) ).

cnf(16713,plain,
    ( leaf_occ(esk3_2(X1,X2),X3)
    | leaf_occ(X1,X2)
    | ~ subactivity_occurrence(esk3_2(X1,X2),X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X3,tptp0)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(csr,[status(thm)],[2239,377]) ).

cnf(16714,plain,
    ( leaf_occ(X1,X2)
    | ~ subactivity_occurrence(esk3_2(X1,X2),X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X3,tptp0)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(csr,[status(thm)],[16713,15243]) ).

cnf(16715,plain,
    ( leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(esk4_3(X3,X4,esk3_2(X1,X2)),tptp0)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1)
    | ~ min_precedes(X4,esk3_2(X1,X2),X3) ),
    inference(spm,[status(thm)],[16714,137,theory(equality)]) ).

cnf(219659,plain,
    ( leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1)
    | ~ min_precedes(X3,esk3_2(X1,X2),tptp0) ),
    inference(spm,[status(thm)],[16715,139,theory(equality)]) ).

cnf(242984,plain,
    ( leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[219659,388,theory(equality)]) ).

cnf(243034,negated_conjecture,
    ( leaf_occ(X1,X2)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ occurrence_of(X1,tptp4) ),
    inference(spm,[status(thm)],[242984,9223,theory(equality)]) ).

cnf(243069,negated_conjecture,
    ( ~ subactivity_occurrence(esk7_1(esk16_0),esk16_0)
    | ~ occurrence_of(esk16_0,tptp0)
    | ~ occurrence_of(esk7_1(esk16_0),tptp4) ),
    inference(spm,[status(thm)],[3104,243034,theory(equality)]) ).

cnf(243637,negated_conjecture,
    ( $false
    | ~ occurrence_of(esk16_0,tptp0)
    | ~ occurrence_of(esk7_1(esk16_0),tptp4) ),
    inference(rw,[status(thm)],[243069,8717,theory(equality)]) ).

cnf(243638,negated_conjecture,
    ( $false
    | $false
    | ~ occurrence_of(esk7_1(esk16_0),tptp4) ),
    inference(rw,[status(thm)],[243637,255,theory(equality)]) ).

cnf(243639,negated_conjecture,
    ( $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[243638,5977,theory(equality)]) ).

cnf(243640,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[243639,theory(equality)]) ).

cnf(243641,negated_conjecture,
    $false,
    243640,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PRO/PRO004+4.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpFOriUf/sel_PRO004+4.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpFOriUf/sel_PRO004+4.p_2 with time limit 81
% -prover status Theorem
% Problem PRO004+4.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PRO/PRO004+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PRO/PRO004+4.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------