TSTP Solution File: PRO009+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : PRO009+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.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 00:36:20 EST 2010

% Result   : Theorem 4.19s
% Output   : CNFRefutation 4.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  182 (  25 unt;   0 def)
%            Number of atoms       :  638 (  45 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  765 ( 309   ~; 323   |; 117   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-4 aty)
%            Number of variables   :  301 (  14 sgn 142   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    tptp3 != tptp2,
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_59) ).

fof(2,axiom,
    tptp3 != tptp1,
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_60) ).

fof(4,axiom,
    ! [X1,X2] :
      ( subactivity_occurrence(X1,X2)
     => ( activity_occurrence(X1)
        & activity_occurrence(X2) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_24) ).

fof(6,axiom,
    ! [X7,X8] :
      ( occurrence_of(X8,X7)
     => ( activity(X7)
        & activity_occurrence(X8) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos) ).

fof(11,axiom,
    ! [X24,X25] :
      ( atocc(X24,X25)
    <=> ? [X26] :
          ( subactivity(X25,X26)
          & atomic(X26)
          & occurrence_of(X24,X26) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_23) ).

fof(12,axiom,
    ! [X27] :
      ( occurrence_of(X27,tptp0)
     => ? [X28,X29,X30] :
          ( occurrence_of(X28,tptp3)
          & root_occ(X28,X27)
          & occurrence_of(X29,tptp4)
          & next_subocc(X28,X29,tptp0)
          & ( occurrence_of(X30,tptp2)
            | occurrence_of(X30,tptp1) )
          & next_subocc(X29,X30,tptp0)
          & leaf_occ(X30,X27) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_49) ).

fof(22,axiom,
    ! [X62,X63,X64,X65] :
      ( ( occurrence_of(X62,X65)
        & leaf_occ(X63,X62)
        & root_occ(X64,X62)
        & X63 != X64 )
     => min_precedes(X64,X63,X65) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_41) ).

fof(23,axiom,
    ! [X66,X67,X68] :
      ( ( occurrence_of(X66,X67)
        & occurrence_of(X66,X68) )
     => X67 = X68 ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_02) ).

fof(24,axiom,
    ! [X69] :
      ( activity(X69)
     => subactivity(X69,X69) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_03) ).

fof(25,axiom,
    ! [X70] :
      ( activity_occurrence(X70)
     => ? [X71] :
          ( activity(X71)
          & occurrence_of(X70,X71) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_01) ).

fof(31,axiom,
    atomic(tptp3),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_55) ).

fof(34,axiom,
    ! [X90,X91] :
      ( root_occ(X90,X91)
    <=> ? [X92] :
          ( occurrence_of(X91,X92)
          & subactivity_occurrence(X90,X91)
          & root(X90,X92) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_33) ).

fof(35,axiom,
    ! [X93,X94,X95,X96] :
      ( ( occurrence_of(X95,X93)
        & occurrence_of(X96,X94)
        & subactivity(X93,X94)
        & ~ subactivity_occurrence(X95,X96) )
     => ? [X97] :
          ( subactivity_occurrence(X97,X96)
          & ~ subactivity_occurrence(X97,X95) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_32) ).

fof(57,axiom,
    ! [X150,X151] :
      ( root(X151,X150)
     => ? [X152] :
          ( subactivity(X152,X150)
          & atocc(X151,X152) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_12) ).

fof(60,axiom,
    ! [X159,X160] :
      ( ( atocc(X159,X160)
        & legal(X159) )
     => root(X159,X160) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_17) ).

fof(61,axiom,
    ! [X161,X162] :
      ( root(X161,X162)
     => legal(X161) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',sos_16) ).

fof(63,conjecture,
    ! [X166] :
      ( occurrence_of(X166,tptp0)
     => ? [X167,X168] :
          ( occurrence_of(X167,tptp3)
          & root_occ(X167,X166)
          & ( occurrence_of(X168,tptp2)
            | occurrence_of(X168,tptp1) )
          & min_precedes(X167,X168,tptp0)
          & leaf_occ(X168,X166) ) ),
    file('/tmp/tmpahISY_/sel_PRO009+3.p_1',goals) ).

fof(64,negated_conjecture,
    ~ ! [X166] :
        ( occurrence_of(X166,tptp0)
       => ? [X167,X168] :
            ( occurrence_of(X167,tptp3)
            & root_occ(X167,X166)
            & ( occurrence_of(X168,tptp2)
              | occurrence_of(X168,tptp1) )
            & min_precedes(X167,X168,tptp0)
            & leaf_occ(X168,X166) ) ),
    inference(assume_negation,[status(cth)],[63]) ).

fof(69,plain,
    ! [X93,X94,X95,X96] :
      ( ( occurrence_of(X95,X93)
        & occurrence_of(X96,X94)
        & subactivity(X93,X94)
        & ~ subactivity_occurrence(X95,X96) )
     => ? [X97] :
          ( subactivity_occurrence(X97,X96)
          & ~ subactivity_occurrence(X97,X95) ) ),
    inference(fof_simplification,[status(thm)],[35,theory(equality)]) ).

cnf(77,plain,
    tptp3 != tptp2,
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(78,plain,
    tptp3 != tptp1,
    inference(split_conjunct,[status(thm)],[2]) ).

fof(80,plain,
    ! [X1,X2] :
      ( ~ subactivity_occurrence(X1,X2)
      | ( activity_occurrence(X1)
        & activity_occurrence(X2) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(81,plain,
    ! [X3,X4] :
      ( ~ subactivity_occurrence(X3,X4)
      | ( activity_occurrence(X3)
        & activity_occurrence(X4) ) ),
    inference(variable_rename,[status(thm)],[80]) ).

fof(82,plain,
    ! [X3,X4] :
      ( ( activity_occurrence(X3)
        | ~ subactivity_occurrence(X3,X4) )
      & ( activity_occurrence(X4)
        | ~ subactivity_occurrence(X3,X4) ) ),
    inference(distribute,[status(thm)],[81]) ).

cnf(83,plain,
    ( activity_occurrence(X2)
    | ~ subactivity_occurrence(X1,X2) ),
    inference(split_conjunct,[status(thm)],[82]) ).

fof(92,plain,
    ! [X7,X8] :
      ( ~ occurrence_of(X8,X7)
      | ( activity(X7)
        & activity_occurrence(X8) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(93,plain,
    ! [X9,X10] :
      ( ~ occurrence_of(X10,X9)
      | ( activity(X9)
        & activity_occurrence(X10) ) ),
    inference(variable_rename,[status(thm)],[92]) ).

fof(94,plain,
    ! [X9,X10] :
      ( ( activity(X9)
        | ~ occurrence_of(X10,X9) )
      & ( activity_occurrence(X10)
        | ~ occurrence_of(X10,X9) ) ),
    inference(distribute,[status(thm)],[93]) ).

cnf(95,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    inference(split_conjunct,[status(thm)],[94]) ).

cnf(96,plain,
    ( activity(X2)
    | ~ occurrence_of(X1,X2) ),
    inference(split_conjunct,[status(thm)],[94]) ).

fof(124,plain,
    ! [X24,X25] :
      ( ( ~ atocc(X24,X25)
        | ? [X26] :
            ( subactivity(X25,X26)
            & atomic(X26)
            & occurrence_of(X24,X26) ) )
      & ( ! [X26] :
            ( ~ subactivity(X25,X26)
            | ~ atomic(X26)
            | ~ occurrence_of(X24,X26) )
        | atocc(X24,X25) ) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(125,plain,
    ! [X27,X28] :
      ( ( ~ atocc(X27,X28)
        | ? [X29] :
            ( subactivity(X28,X29)
            & atomic(X29)
            & occurrence_of(X27,X29) ) )
      & ( ! [X30] :
            ( ~ subactivity(X28,X30)
            | ~ atomic(X30)
            | ~ occurrence_of(X27,X30) )
        | atocc(X27,X28) ) ),
    inference(variable_rename,[status(thm)],[124]) ).

fof(126,plain,
    ! [X27,X28] :
      ( ( ~ atocc(X27,X28)
        | ( subactivity(X28,esk6_2(X27,X28))
          & atomic(esk6_2(X27,X28))
          & occurrence_of(X27,esk6_2(X27,X28)) ) )
      & ( ! [X30] :
            ( ~ subactivity(X28,X30)
            | ~ atomic(X30)
            | ~ occurrence_of(X27,X30) )
        | atocc(X27,X28) ) ),
    inference(skolemize,[status(esa)],[125]) ).

fof(127,plain,
    ! [X27,X28,X30] :
      ( ( ~ subactivity(X28,X30)
        | ~ atomic(X30)
        | ~ occurrence_of(X27,X30)
        | atocc(X27,X28) )
      & ( ~ atocc(X27,X28)
        | ( subactivity(X28,esk6_2(X27,X28))
          & atomic(esk6_2(X27,X28))
          & occurrence_of(X27,esk6_2(X27,X28)) ) ) ),
    inference(shift_quantors,[status(thm)],[126]) ).

fof(128,plain,
    ! [X27,X28,X30] :
      ( ( ~ subactivity(X28,X30)
        | ~ atomic(X30)
        | ~ occurrence_of(X27,X30)
        | atocc(X27,X28) )
      & ( subactivity(X28,esk6_2(X27,X28))
        | ~ atocc(X27,X28) )
      & ( atomic(esk6_2(X27,X28))
        | ~ atocc(X27,X28) )
      & ( occurrence_of(X27,esk6_2(X27,X28))
        | ~ atocc(X27,X28) ) ),
    inference(distribute,[status(thm)],[127]) ).

cnf(129,plain,
    ( occurrence_of(X1,esk6_2(X1,X2))
    | ~ atocc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[128]) ).

cnf(130,plain,
    ( atomic(esk6_2(X1,X2))
    | ~ atocc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[128]) ).

cnf(132,plain,
    ( atocc(X1,X2)
    | ~ occurrence_of(X1,X3)
    | ~ atomic(X3)
    | ~ subactivity(X2,X3) ),
    inference(split_conjunct,[status(thm)],[128]) ).

fof(133,plain,
    ! [X27] :
      ( ~ occurrence_of(X27,tptp0)
      | ? [X28,X29,X30] :
          ( occurrence_of(X28,tptp3)
          & root_occ(X28,X27)
          & occurrence_of(X29,tptp4)
          & next_subocc(X28,X29,tptp0)
          & ( occurrence_of(X30,tptp2)
            | occurrence_of(X30,tptp1) )
          & next_subocc(X29,X30,tptp0)
          & leaf_occ(X30,X27) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(134,plain,
    ! [X31] :
      ( ~ occurrence_of(X31,tptp0)
      | ? [X32,X33,X34] :
          ( occurrence_of(X32,tptp3)
          & root_occ(X32,X31)
          & occurrence_of(X33,tptp4)
          & next_subocc(X32,X33,tptp0)
          & ( occurrence_of(X34,tptp2)
            | occurrence_of(X34,tptp1) )
          & next_subocc(X33,X34,tptp0)
          & leaf_occ(X34,X31) ) ),
    inference(variable_rename,[status(thm)],[133]) ).

fof(135,plain,
    ! [X31] :
      ( ~ occurrence_of(X31,tptp0)
      | ( occurrence_of(esk7_1(X31),tptp3)
        & root_occ(esk7_1(X31),X31)
        & occurrence_of(esk8_1(X31),tptp4)
        & next_subocc(esk7_1(X31),esk8_1(X31),tptp0)
        & ( occurrence_of(esk9_1(X31),tptp2)
          | occurrence_of(esk9_1(X31),tptp1) )
        & next_subocc(esk8_1(X31),esk9_1(X31),tptp0)
        & leaf_occ(esk9_1(X31),X31) ) ),
    inference(skolemize,[status(esa)],[134]) ).

fof(136,plain,
    ! [X31] :
      ( ( occurrence_of(esk7_1(X31),tptp3)
        | ~ occurrence_of(X31,tptp0) )
      & ( root_occ(esk7_1(X31),X31)
        | ~ occurrence_of(X31,tptp0) )
      & ( occurrence_of(esk8_1(X31),tptp4)
        | ~ occurrence_of(X31,tptp0) )
      & ( next_subocc(esk7_1(X31),esk8_1(X31),tptp0)
        | ~ occurrence_of(X31,tptp0) )
      & ( occurrence_of(esk9_1(X31),tptp2)
        | occurrence_of(esk9_1(X31),tptp1)
        | ~ occurrence_of(X31,tptp0) )
      & ( next_subocc(esk8_1(X31),esk9_1(X31),tptp0)
        | ~ occurrence_of(X31,tptp0) )
      & ( leaf_occ(esk9_1(X31),X31)
        | ~ occurrence_of(X31,tptp0) ) ),
    inference(distribute,[status(thm)],[135]) ).

cnf(137,plain,
    ( leaf_occ(esk9_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[136]) ).

cnf(139,plain,
    ( occurrence_of(esk9_1(X1),tptp1)
    | occurrence_of(esk9_1(X1),tptp2)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[136]) ).

cnf(142,plain,
    ( root_occ(esk7_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[136]) ).

cnf(143,plain,
    ( occurrence_of(esk7_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[136]) ).

fof(171,plain,
    ! [X62,X63,X64,X65] :
      ( ~ occurrence_of(X62,X65)
      | ~ leaf_occ(X63,X62)
      | ~ root_occ(X64,X62)
      | X63 = X64
      | min_precedes(X64,X63,X65) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(172,plain,
    ! [X66,X67,X68,X69] :
      ( ~ occurrence_of(X66,X69)
      | ~ leaf_occ(X67,X66)
      | ~ root_occ(X68,X66)
      | X67 = X68
      | min_precedes(X68,X67,X69) ),
    inference(variable_rename,[status(thm)],[171]) ).

cnf(173,plain,
    ( min_precedes(X1,X2,X3)
    | X2 = X1
    | ~ root_occ(X1,X4)
    | ~ leaf_occ(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[172]) ).

fof(174,plain,
    ! [X66,X67,X68] :
      ( ~ occurrence_of(X66,X67)
      | ~ occurrence_of(X66,X68)
      | X67 = X68 ),
    inference(fof_nnf,[status(thm)],[23]) ).

fof(175,plain,
    ! [X69,X70,X71] :
      ( ~ occurrence_of(X69,X70)
      | ~ occurrence_of(X69,X71)
      | X70 = X71 ),
    inference(variable_rename,[status(thm)],[174]) ).

cnf(176,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    inference(split_conjunct,[status(thm)],[175]) ).

fof(177,plain,
    ! [X69] :
      ( ~ activity(X69)
      | subactivity(X69,X69) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(178,plain,
    ! [X70] :
      ( ~ activity(X70)
      | subactivity(X70,X70) ),
    inference(variable_rename,[status(thm)],[177]) ).

cnf(179,plain,
    ( subactivity(X1,X1)
    | ~ activity(X1) ),
    inference(split_conjunct,[status(thm)],[178]) ).

fof(180,plain,
    ! [X70] :
      ( ~ activity_occurrence(X70)
      | ? [X71] :
          ( activity(X71)
          & occurrence_of(X70,X71) ) ),
    inference(fof_nnf,[status(thm)],[25]) ).

fof(181,plain,
    ! [X72] :
      ( ~ activity_occurrence(X72)
      | ? [X73] :
          ( activity(X73)
          & occurrence_of(X72,X73) ) ),
    inference(variable_rename,[status(thm)],[180]) ).

fof(182,plain,
    ! [X72] :
      ( ~ activity_occurrence(X72)
      | ( activity(esk10_1(X72))
        & occurrence_of(X72,esk10_1(X72)) ) ),
    inference(skolemize,[status(esa)],[181]) ).

fof(183,plain,
    ! [X72] :
      ( ( activity(esk10_1(X72))
        | ~ activity_occurrence(X72) )
      & ( occurrence_of(X72,esk10_1(X72))
        | ~ activity_occurrence(X72) ) ),
    inference(distribute,[status(thm)],[182]) ).

cnf(184,plain,
    ( occurrence_of(X1,esk10_1(X1))
    | ~ activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[183]) ).

cnf(203,plain,
    atomic(tptp3),
    inference(split_conjunct,[status(thm)],[31]) ).

fof(210,plain,
    ! [X90,X91] :
      ( ( ~ root_occ(X90,X91)
        | ? [X92] :
            ( occurrence_of(X91,X92)
            & subactivity_occurrence(X90,X91)
            & root(X90,X92) ) )
      & ( ! [X92] :
            ( ~ occurrence_of(X91,X92)
            | ~ subactivity_occurrence(X90,X91)
            | ~ root(X90,X92) )
        | root_occ(X90,X91) ) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(211,plain,
    ! [X93,X94] :
      ( ( ~ root_occ(X93,X94)
        | ? [X95] :
            ( occurrence_of(X94,X95)
            & subactivity_occurrence(X93,X94)
            & root(X93,X95) ) )
      & ( ! [X96] :
            ( ~ occurrence_of(X94,X96)
            | ~ subactivity_occurrence(X93,X94)
            | ~ root(X93,X96) )
        | root_occ(X93,X94) ) ),
    inference(variable_rename,[status(thm)],[210]) ).

fof(212,plain,
    ! [X93,X94] :
      ( ( ~ root_occ(X93,X94)
        | ( occurrence_of(X94,esk11_2(X93,X94))
          & subactivity_occurrence(X93,X94)
          & root(X93,esk11_2(X93,X94)) ) )
      & ( ! [X96] :
            ( ~ occurrence_of(X94,X96)
            | ~ subactivity_occurrence(X93,X94)
            | ~ root(X93,X96) )
        | root_occ(X93,X94) ) ),
    inference(skolemize,[status(esa)],[211]) ).

fof(213,plain,
    ! [X93,X94,X96] :
      ( ( ~ occurrence_of(X94,X96)
        | ~ subactivity_occurrence(X93,X94)
        | ~ root(X93,X96)
        | root_occ(X93,X94) )
      & ( ~ root_occ(X93,X94)
        | ( occurrence_of(X94,esk11_2(X93,X94))
          & subactivity_occurrence(X93,X94)
          & root(X93,esk11_2(X93,X94)) ) ) ),
    inference(shift_quantors,[status(thm)],[212]) ).

fof(214,plain,
    ! [X93,X94,X96] :
      ( ( ~ occurrence_of(X94,X96)
        | ~ subactivity_occurrence(X93,X94)
        | ~ root(X93,X96)
        | root_occ(X93,X94) )
      & ( occurrence_of(X94,esk11_2(X93,X94))
        | ~ root_occ(X93,X94) )
      & ( subactivity_occurrence(X93,X94)
        | ~ root_occ(X93,X94) )
      & ( root(X93,esk11_2(X93,X94))
        | ~ root_occ(X93,X94) ) ),
    inference(distribute,[status(thm)],[213]) ).

cnf(215,plain,
    ( root(X1,esk11_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[214]) ).

cnf(216,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[214]) ).

cnf(217,plain,
    ( occurrence_of(X2,esk11_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[214]) ).

cnf(218,plain,
    ( root_occ(X1,X2)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3) ),
    inference(split_conjunct,[status(thm)],[214]) ).

fof(219,plain,
    ! [X93,X94,X95,X96] :
      ( ~ occurrence_of(X95,X93)
      | ~ occurrence_of(X96,X94)
      | ~ subactivity(X93,X94)
      | subactivity_occurrence(X95,X96)
      | ? [X97] :
          ( subactivity_occurrence(X97,X96)
          & ~ subactivity_occurrence(X97,X95) ) ),
    inference(fof_nnf,[status(thm)],[69]) ).

fof(220,plain,
    ! [X98,X99,X100,X101] :
      ( ~ occurrence_of(X100,X98)
      | ~ occurrence_of(X101,X99)
      | ~ subactivity(X98,X99)
      | subactivity_occurrence(X100,X101)
      | ? [X102] :
          ( subactivity_occurrence(X102,X101)
          & ~ subactivity_occurrence(X102,X100) ) ),
    inference(variable_rename,[status(thm)],[219]) ).

fof(221,plain,
    ! [X98,X99,X100,X101] :
      ( ~ occurrence_of(X100,X98)
      | ~ occurrence_of(X101,X99)
      | ~ subactivity(X98,X99)
      | subactivity_occurrence(X100,X101)
      | ( subactivity_occurrence(esk12_4(X98,X99,X100,X101),X101)
        & ~ subactivity_occurrence(esk12_4(X98,X99,X100,X101),X100) ) ),
    inference(skolemize,[status(esa)],[220]) ).

fof(222,plain,
    ! [X98,X99,X100,X101] :
      ( ( subactivity_occurrence(esk12_4(X98,X99,X100,X101),X101)
        | ~ occurrence_of(X100,X98)
        | ~ occurrence_of(X101,X99)
        | ~ subactivity(X98,X99)
        | subactivity_occurrence(X100,X101) )
      & ( ~ subactivity_occurrence(esk12_4(X98,X99,X100,X101),X100)
        | ~ occurrence_of(X100,X98)
        | ~ occurrence_of(X101,X99)
        | ~ subactivity(X98,X99)
        | subactivity_occurrence(X100,X101) ) ),
    inference(distribute,[status(thm)],[221]) ).

cnf(223,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3)
    | ~ subactivity_occurrence(esk12_4(X3,X4,X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[222]) ).

cnf(224,plain,
    ( subactivity_occurrence(X1,X2)
    | subactivity_occurrence(esk12_4(X3,X4,X1,X2),X2)
    | ~ subactivity(X3,X4)
    | ~ occurrence_of(X2,X4)
    | ~ occurrence_of(X1,X3) ),
    inference(split_conjunct,[status(thm)],[222]) ).

fof(296,plain,
    ! [X150,X151] :
      ( ~ root(X151,X150)
      | ? [X152] :
          ( subactivity(X152,X150)
          & atocc(X151,X152) ) ),
    inference(fof_nnf,[status(thm)],[57]) ).

fof(297,plain,
    ! [X153,X154] :
      ( ~ root(X154,X153)
      | ? [X155] :
          ( subactivity(X155,X153)
          & atocc(X154,X155) ) ),
    inference(variable_rename,[status(thm)],[296]) ).

fof(298,plain,
    ! [X153,X154] :
      ( ~ root(X154,X153)
      | ( subactivity(esk18_2(X153,X154),X153)
        & atocc(X154,esk18_2(X153,X154)) ) ),
    inference(skolemize,[status(esa)],[297]) ).

fof(299,plain,
    ! [X153,X154] :
      ( ( subactivity(esk18_2(X153,X154),X153)
        | ~ root(X154,X153) )
      & ( atocc(X154,esk18_2(X153,X154))
        | ~ root(X154,X153) ) ),
    inference(distribute,[status(thm)],[298]) ).

cnf(300,plain,
    ( atocc(X1,esk18_2(X2,X1))
    | ~ root(X1,X2) ),
    inference(split_conjunct,[status(thm)],[299]) ).

fof(308,plain,
    ! [X159,X160] :
      ( ~ atocc(X159,X160)
      | ~ legal(X159)
      | root(X159,X160) ),
    inference(fof_nnf,[status(thm)],[60]) ).

fof(309,plain,
    ! [X161,X162] :
      ( ~ atocc(X161,X162)
      | ~ legal(X161)
      | root(X161,X162) ),
    inference(variable_rename,[status(thm)],[308]) ).

cnf(310,plain,
    ( root(X1,X2)
    | ~ legal(X1)
    | ~ atocc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[309]) ).

fof(311,plain,
    ! [X161,X162] :
      ( ~ root(X161,X162)
      | legal(X161) ),
    inference(fof_nnf,[status(thm)],[61]) ).

fof(312,plain,
    ! [X163,X164] :
      ( ~ root(X163,X164)
      | legal(X163) ),
    inference(variable_rename,[status(thm)],[311]) ).

cnf(313,plain,
    ( legal(X1)
    | ~ root(X1,X2) ),
    inference(split_conjunct,[status(thm)],[312]) ).

fof(320,negated_conjecture,
    ? [X166] :
      ( occurrence_of(X166,tptp0)
      & ! [X167,X168] :
          ( ~ occurrence_of(X167,tptp3)
          | ~ root_occ(X167,X166)
          | ( ~ occurrence_of(X168,tptp2)
            & ~ occurrence_of(X168,tptp1) )
          | ~ min_precedes(X167,X168,tptp0)
          | ~ leaf_occ(X168,X166) ) ),
    inference(fof_nnf,[status(thm)],[64]) ).

fof(321,negated_conjecture,
    ? [X169] :
      ( occurrence_of(X169,tptp0)
      & ! [X170,X171] :
          ( ~ occurrence_of(X170,tptp3)
          | ~ root_occ(X170,X169)
          | ( ~ occurrence_of(X171,tptp2)
            & ~ occurrence_of(X171,tptp1) )
          | ~ min_precedes(X170,X171,tptp0)
          | ~ leaf_occ(X171,X169) ) ),
    inference(variable_rename,[status(thm)],[320]) ).

fof(322,negated_conjecture,
    ( occurrence_of(esk20_0,tptp0)
    & ! [X170,X171] :
        ( ~ occurrence_of(X170,tptp3)
        | ~ root_occ(X170,esk20_0)
        | ( ~ occurrence_of(X171,tptp2)
          & ~ occurrence_of(X171,tptp1) )
        | ~ min_precedes(X170,X171,tptp0)
        | ~ leaf_occ(X171,esk20_0) ) ),
    inference(skolemize,[status(esa)],[321]) ).

fof(323,negated_conjecture,
    ! [X170,X171] :
      ( ( ~ occurrence_of(X170,tptp3)
        | ~ root_occ(X170,esk20_0)
        | ( ~ occurrence_of(X171,tptp2)
          & ~ occurrence_of(X171,tptp1) )
        | ~ min_precedes(X170,X171,tptp0)
        | ~ leaf_occ(X171,esk20_0) )
      & occurrence_of(esk20_0,tptp0) ),
    inference(shift_quantors,[status(thm)],[322]) ).

fof(324,negated_conjecture,
    ! [X170,X171] :
      ( ( ~ occurrence_of(X171,tptp2)
        | ~ occurrence_of(X170,tptp3)
        | ~ root_occ(X170,esk20_0)
        | ~ min_precedes(X170,X171,tptp0)
        | ~ leaf_occ(X171,esk20_0) )
      & ( ~ occurrence_of(X171,tptp1)
        | ~ occurrence_of(X170,tptp3)
        | ~ root_occ(X170,esk20_0)
        | ~ min_precedes(X170,X171,tptp0)
        | ~ leaf_occ(X171,esk20_0) )
      & occurrence_of(esk20_0,tptp0) ),
    inference(distribute,[status(thm)],[323]) ).

cnf(325,negated_conjecture,
    occurrence_of(esk20_0,tptp0),
    inference(split_conjunct,[status(thm)],[324]) ).

cnf(326,negated_conjecture,
    ( ~ leaf_occ(X1,esk20_0)
    | ~ min_precedes(X2,X1,tptp0)
    | ~ root_occ(X2,esk20_0)
    | ~ occurrence_of(X2,tptp3)
    | ~ occurrence_of(X1,tptp1) ),
    inference(split_conjunct,[status(thm)],[324]) ).

cnf(327,negated_conjecture,
    ( ~ leaf_occ(X1,esk20_0)
    | ~ min_precedes(X2,X1,tptp0)
    | ~ root_occ(X2,esk20_0)
    | ~ occurrence_of(X2,tptp3)
    | ~ occurrence_of(X1,tptp2) ),
    inference(split_conjunct,[status(thm)],[324]) ).

cnf(333,plain,
    ( activity(tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[96,143,theory(equality)]) ).

cnf(337,plain,
    ( subactivity_occurrence(esk7_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[216,142,theory(equality)]) ).

cnf(356,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk20_0,X1) ),
    inference(spm,[status(thm)],[176,325,theory(equality)]) ).

cnf(357,plain,
    ( X1 = tptp3
    | ~ occurrence_of(esk7_1(X2),X1)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[176,143,theory(equality)]) ).

cnf(359,plain,
    ( X1 = esk10_1(X2)
    | ~ occurrence_of(X2,X1)
    | ~ activity_occurrence(X2) ),
    inference(spm,[status(thm)],[176,184,theory(equality)]) ).

cnf(374,plain,
    ( X1 = tptp1
    | occurrence_of(esk9_1(X2),tptp2)
    | ~ occurrence_of(esk9_1(X2),X1)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[176,139,theory(equality)]) ).

cnf(379,plain,
    ( activity(esk6_2(X1,X2))
    | ~ atocc(X1,X2) ),
    inference(spm,[status(thm)],[96,129,theory(equality)]) ).

cnf(383,plain,
    ( legal(X1)
    | ~ root_occ(X1,X2) ),
    inference(spm,[status(thm)],[313,215,theory(equality)]) ).

cnf(485,plain,
    ( X1 = esk9_1(X2)
    | min_precedes(X1,esk9_1(X2),X3)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[173,137,theory(equality)]) ).

cnf(526,plain,
    ( subactivity_occurrence(X1,X1)
    | ~ subactivity(X2,X3)
    | ~ occurrence_of(X1,X3)
    | ~ occurrence_of(X1,X2) ),
    inference(spm,[status(thm)],[223,224,theory(equality)]) ).

cnf(550,negated_conjecture,
    ( esk11_2(X1,esk20_0) = tptp0
    | ~ root_occ(X1,esk20_0) ),
    inference(spm,[status(thm)],[356,217,theory(equality)]) ).

cnf(565,negated_conjecture,
    activity(tptp3),
    inference(spm,[status(thm)],[333,325,theory(equality)]) ).

cnf(571,negated_conjecture,
    subactivity(tptp3,tptp3),
    inference(spm,[status(thm)],[179,565,theory(equality)]) ).

cnf(573,negated_conjecture,
    ( atocc(X1,tptp3)
    | ~ atomic(tptp3)
    | ~ occurrence_of(X1,tptp3) ),
    inference(spm,[status(thm)],[132,571,theory(equality)]) ).

cnf(574,negated_conjecture,
    ( atocc(X1,tptp3)
    | $false
    | ~ occurrence_of(X1,tptp3) ),
    inference(rw,[status(thm)],[573,203,theory(equality)]) ).

cnf(575,negated_conjecture,
    ( atocc(X1,tptp3)
    | ~ occurrence_of(X1,tptp3) ),
    inference(cn,[status(thm)],[574,theory(equality)]) ).

cnf(576,negated_conjecture,
    ( root(X1,tptp3)
    | ~ legal(X1)
    | ~ occurrence_of(X1,tptp3) ),
    inference(spm,[status(thm)],[310,575,theory(equality)]) ).

cnf(601,negated_conjecture,
    ( root(X1,tptp0)
    | ~ root_occ(X1,esk20_0) ),
    inference(spm,[status(thm)],[215,550,theory(equality)]) ).

cnf(604,negated_conjecture,
    ( root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,esk20_0) ),
    inference(spm,[status(thm)],[218,601,theory(equality)]) ).

cnf(650,plain,
    ( legal(esk7_1(X1))
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[383,142,theory(equality)]) ).

cnf(733,plain,
    ( X1 = esk10_1(X2)
    | ~ occurrence_of(X2,X1) ),
    inference(csr,[status(thm)],[359,95]) ).

cnf(740,plain,
    ( esk6_2(X1,X2) = esk10_1(X1)
    | ~ atocc(X1,X2) ),
    inference(spm,[status(thm)],[733,129,theory(equality)]) ).

cnf(770,negated_conjecture,
    ( root(esk7_1(X1),tptp3)
    | ~ occurrence_of(esk7_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[576,650,theory(equality)]) ).

cnf(1377,negated_conjecture,
    ( root(esk7_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    inference(csr,[status(thm)],[770,143]) ).

cnf(1695,negated_conjecture,
    ( root_occ(esk7_1(esk20_0),X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(esk7_1(esk20_0),X1)
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[604,142,theory(equality)]) ).

cnf(1696,negated_conjecture,
    ( root_occ(esk7_1(esk20_0),X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(esk7_1(esk20_0),X1)
    | $false ),
    inference(rw,[status(thm)],[1695,325,theory(equality)]) ).

cnf(1697,negated_conjecture,
    ( root_occ(esk7_1(esk20_0),X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(esk7_1(esk20_0),X1) ),
    inference(cn,[status(thm)],[1696,theory(equality)]) ).

cnf(2036,plain,
    ( atomic(esk10_1(X1))
    | ~ atocc(X1,X2) ),
    inference(spm,[status(thm)],[130,740,theory(equality)]) ).

cnf(2037,plain,
    ( occurrence_of(X1,esk10_1(X1))
    | ~ atocc(X1,X2) ),
    inference(spm,[status(thm)],[129,740,theory(equality)]) ).

cnf(2046,plain,
    ( activity(esk10_1(X1))
    | ~ atocc(X1,X2) ),
    inference(spm,[status(thm)],[379,740,theory(equality)]) ).

cnf(2199,plain,
    ( atomic(esk10_1(X1))
    | ~ root(X1,X2) ),
    inference(spm,[status(thm)],[2036,300,theory(equality)]) ).

cnf(2207,plain,
    ( activity(esk10_1(X1))
    | ~ root(X1,X2) ),
    inference(spm,[status(thm)],[2046,300,theory(equality)]) ).

cnf(2335,plain,
    ( atomic(esk10_1(X1))
    | ~ root_occ(X1,X2) ),
    inference(spm,[status(thm)],[2199,215,theory(equality)]) ).

cnf(2410,negated_conjecture,
    ( atomic(esk10_1(esk7_1(esk20_0)))
    | ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(esk7_1(esk20_0),X1) ),
    inference(spm,[status(thm)],[2335,1697,theory(equality)]) ).

cnf(2413,plain,
    ( activity(esk10_1(X1))
    | ~ root_occ(X1,X2) ),
    inference(spm,[status(thm)],[2207,215,theory(equality)]) ).

cnf(2477,negated_conjecture,
    ( activity(esk10_1(esk7_1(esk20_0)))
    | ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(esk7_1(esk20_0),X1) ),
    inference(spm,[status(thm)],[2413,1697,theory(equality)]) ).

cnf(2556,plain,
    ( occurrence_of(X1,esk10_1(X1))
    | ~ root(X1,X2) ),
    inference(spm,[status(thm)],[2037,300,theory(equality)]) ).

cnf(2977,negated_conjecture,
    ( occurrence_of(esk7_1(X1),esk10_1(esk7_1(X1)))
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[2556,1377,theory(equality)]) ).

cnf(3108,negated_conjecture,
    ( X2 = esk9_1(X1)
    | ~ leaf_occ(esk9_1(X1),esk20_0)
    | ~ root_occ(X2,esk20_0)
    | ~ occurrence_of(X2,tptp3)
    | ~ occurrence_of(esk9_1(X1),tptp2)
    | ~ root_occ(X2,X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[327,485,theory(equality)]) ).

cnf(3109,negated_conjecture,
    ( X2 = esk9_1(X1)
    | ~ leaf_occ(esk9_1(X1),esk20_0)
    | ~ root_occ(X2,esk20_0)
    | ~ occurrence_of(X2,tptp3)
    | ~ occurrence_of(esk9_1(X1),tptp1)
    | ~ root_occ(X2,X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[326,485,theory(equality)]) ).

cnf(14576,negated_conjecture,
    ( atomic(esk10_1(esk7_1(esk20_0)))
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[2410,337,theory(equality)]) ).

cnf(14587,negated_conjecture,
    ( atomic(esk10_1(esk7_1(esk20_0)))
    | $false ),
    inference(rw,[status(thm)],[14576,325,theory(equality)]) ).

cnf(14588,negated_conjecture,
    atomic(esk10_1(esk7_1(esk20_0))),
    inference(cn,[status(thm)],[14587,theory(equality)]) ).

cnf(15981,negated_conjecture,
    ( activity(esk10_1(esk7_1(esk20_0)))
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[2477,337,theory(equality)]) ).

cnf(15993,negated_conjecture,
    ( activity(esk10_1(esk7_1(esk20_0)))
    | $false ),
    inference(rw,[status(thm)],[15981,325,theory(equality)]) ).

cnf(15994,negated_conjecture,
    activity(esk10_1(esk7_1(esk20_0))),
    inference(cn,[status(thm)],[15993,theory(equality)]) ).

cnf(16006,negated_conjecture,
    subactivity(esk10_1(esk7_1(esk20_0)),esk10_1(esk7_1(esk20_0))),
    inference(spm,[status(thm)],[179,15994,theory(equality)]) ).

cnf(16016,negated_conjecture,
    ( atocc(X1,esk10_1(esk7_1(esk20_0)))
    | ~ atomic(esk10_1(esk7_1(esk20_0)))
    | ~ occurrence_of(X1,esk10_1(esk7_1(esk20_0))) ),
    inference(spm,[status(thm)],[132,16006,theory(equality)]) ).

cnf(16019,negated_conjecture,
    ( subactivity_occurrence(X1,X1)
    | ~ occurrence_of(X1,esk10_1(esk7_1(esk20_0))) ),
    inference(spm,[status(thm)],[526,16006,theory(equality)]) ).

cnf(16021,negated_conjecture,
    ( atocc(X1,esk10_1(esk7_1(esk20_0)))
    | $false
    | ~ occurrence_of(X1,esk10_1(esk7_1(esk20_0))) ),
    inference(rw,[status(thm)],[16016,14588,theory(equality)]) ).

cnf(16022,negated_conjecture,
    ( atocc(X1,esk10_1(esk7_1(esk20_0)))
    | ~ occurrence_of(X1,esk10_1(esk7_1(esk20_0))) ),
    inference(cn,[status(thm)],[16021,theory(equality)]) ).

cnf(16038,negated_conjecture,
    ( subactivity_occurrence(esk7_1(esk20_0),esk7_1(esk20_0))
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[16019,2977,theory(equality)]) ).

cnf(16047,negated_conjecture,
    ( subactivity_occurrence(esk7_1(esk20_0),esk7_1(esk20_0))
    | $false ),
    inference(rw,[status(thm)],[16038,325,theory(equality)]) ).

cnf(16048,negated_conjecture,
    subactivity_occurrence(esk7_1(esk20_0),esk7_1(esk20_0)),
    inference(cn,[status(thm)],[16047,theory(equality)]) ).

cnf(16051,negated_conjecture,
    activity_occurrence(esk7_1(esk20_0)),
    inference(spm,[status(thm)],[83,16048,theory(equality)]) ).

cnf(16295,negated_conjecture,
    ( occurrence_of(X1,esk10_1(X1))
    | ~ occurrence_of(X1,esk10_1(esk7_1(esk20_0))) ),
    inference(spm,[status(thm)],[2037,16022,theory(equality)]) ).

cnf(16554,negated_conjecture,
    ( occurrence_of(esk7_1(esk20_0),esk10_1(esk7_1(esk20_0)))
    | ~ activity_occurrence(esk7_1(esk20_0)) ),
    inference(spm,[status(thm)],[16295,184,theory(equality)]) ).

cnf(16570,negated_conjecture,
    ( occurrence_of(esk7_1(esk20_0),esk10_1(esk7_1(esk20_0)))
    | $false ),
    inference(rw,[status(thm)],[16554,16051,theory(equality)]) ).

cnf(16571,negated_conjecture,
    occurrence_of(esk7_1(esk20_0),esk10_1(esk7_1(esk20_0))),
    inference(cn,[status(thm)],[16570,theory(equality)]) ).

cnf(16624,negated_conjecture,
    ( esk10_1(esk7_1(esk20_0)) = tptp3
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[357,16571,theory(equality)]) ).

cnf(16666,negated_conjecture,
    ( esk10_1(esk7_1(esk20_0)) = tptp3
    | $false ),
    inference(rw,[status(thm)],[16624,325,theory(equality)]) ).

cnf(16667,negated_conjecture,
    esk10_1(esk7_1(esk20_0)) = tptp3,
    inference(cn,[status(thm)],[16666,theory(equality)]) ).

cnf(16791,negated_conjecture,
    occurrence_of(esk7_1(esk20_0),tptp3),
    inference(rw,[status(thm)],[16571,16667,theory(equality)]) ).

cnf(31602,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(esk9_1(esk20_0),tptp2)
    | ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[3108,137,theory(equality)]) ).

cnf(31606,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(esk9_1(esk20_0),tptp2)
    | ~ occurrence_of(X1,tptp3)
    | $false ),
    inference(rw,[status(thm)],[31602,325,theory(equality)]) ).

cnf(31607,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(esk9_1(esk20_0),tptp2)
    | ~ occurrence_of(X1,tptp3) ),
    inference(cn,[status(thm)],[31606,theory(equality)]) ).

cnf(31666,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(esk9_1(esk20_0),tptp1)
    | ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[3109,137,theory(equality)]) ).

cnf(31670,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(esk9_1(esk20_0),tptp1)
    | ~ occurrence_of(X1,tptp3)
    | $false ),
    inference(rw,[status(thm)],[31666,325,theory(equality)]) ).

cnf(31671,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(esk9_1(esk20_0),tptp1)
    | ~ occurrence_of(X1,tptp3) ),
    inference(cn,[status(thm)],[31670,theory(equality)]) ).

cnf(44028,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | occurrence_of(esk9_1(esk20_0),tptp2)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[31671,139,theory(equality)]) ).

cnf(44030,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | occurrence_of(esk9_1(esk20_0),tptp2)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(X1,tptp3)
    | $false ),
    inference(rw,[status(thm)],[44028,325,theory(equality)]) ).

cnf(44031,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | occurrence_of(esk9_1(esk20_0),tptp2)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(X1,tptp3) ),
    inference(cn,[status(thm)],[44030,theory(equality)]) ).

cnf(44140,negated_conjecture,
    ( X1 = esk9_1(esk20_0)
    | ~ root_occ(X1,esk20_0)
    | ~ occurrence_of(X1,tptp3) ),
    inference(csr,[status(thm)],[44031,31607]) ).

cnf(44141,negated_conjecture,
    ( esk7_1(esk20_0) = esk9_1(esk20_0)
    | ~ occurrence_of(esk7_1(esk20_0),tptp3)
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[44140,142,theory(equality)]) ).

cnf(44155,negated_conjecture,
    ( esk7_1(esk20_0) = esk9_1(esk20_0)
    | $false
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(rw,[status(thm)],[44141,16791,theory(equality)]) ).

cnf(44156,negated_conjecture,
    ( esk7_1(esk20_0) = esk9_1(esk20_0)
    | $false
    | $false ),
    inference(rw,[status(thm)],[44155,325,theory(equality)]) ).

cnf(44157,negated_conjecture,
    esk7_1(esk20_0) = esk9_1(esk20_0),
    inference(cn,[status(thm)],[44156,theory(equality)]) ).

cnf(44248,negated_conjecture,
    occurrence_of(esk9_1(esk20_0),tptp3),
    inference(rw,[status(thm)],[16791,44157,theory(equality)]) ).

cnf(44249,negated_conjecture,
    esk10_1(esk9_1(esk20_0)) = tptp3,
    inference(rw,[status(thm)],[16667,44157,theory(equality)]) ).

cnf(44550,negated_conjecture,
    ( tptp3 = tptp1
    | occurrence_of(esk9_1(esk20_0),tptp2)
    | ~ occurrence_of(esk20_0,tptp0) ),
    inference(spm,[status(thm)],[374,44248,theory(equality)]) ).

cnf(44623,negated_conjecture,
    ( tptp3 = tptp1
    | occurrence_of(esk9_1(esk20_0),tptp2)
    | $false ),
    inference(rw,[status(thm)],[44550,325,theory(equality)]) ).

cnf(44624,negated_conjecture,
    ( tptp3 = tptp1
    | occurrence_of(esk9_1(esk20_0),tptp2) ),
    inference(cn,[status(thm)],[44623,theory(equality)]) ).

cnf(44625,negated_conjecture,
    occurrence_of(esk9_1(esk20_0),tptp2),
    inference(sr,[status(thm)],[44624,78,theory(equality)]) ).

cnf(45099,negated_conjecture,
    tptp2 = esk10_1(esk9_1(esk20_0)),
    inference(spm,[status(thm)],[733,44625,theory(equality)]) ).

cnf(45135,negated_conjecture,
    tptp2 = tptp3,
    inference(rw,[status(thm)],[45099,44249,theory(equality)]) ).

cnf(45136,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[45135,77,theory(equality)]) ).

cnf(45137,negated_conjecture,
    $false,
    45136,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PRO/PRO009+3.p
% --creating new selector for []
% -running prover on /tmp/tmpahISY_/sel_PRO009+3.p_1 with time limit 29
% -prover status Theorem
% Problem PRO009+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PRO/PRO009+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PRO/PRO009+3.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
% 
%------------------------------------------------------------------------------