TSTP Solution File: PRO011+4 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : PRO011+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 00:42:44 EST 2010

% Result   : Theorem 0.25s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   60 (   8 unt;   0 def)
%            Number of atoms       :  331 (  10 equ)
%            Maximal formula atoms :   49 (   5 avg)
%            Number of connectives :  387 ( 116   ~; 141   |; 120   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  130 (  11 sgn  65   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(11,axiom,
    ! [X33,X34,X35] :
      ( ( occurrence_of(X33,X34)
        & occurrence_of(X33,X35) )
     => X34 = X35 ),
    file('/tmp/tmpuVTkyQ/sel_PRO011+4.p_1',sos_08) ).

fof(24,axiom,
    tptp1 != tptp2,
    file('/tmp/tmpuVTkyQ/sel_PRO011+4.p_1',sos_44) ).

fof(26,axiom,
    ! [X65] :
      ( occurrence_of(X65,tptp0)
     => ? [X66,X67,X68] :
          ( occurrence_of(X66,tptp3)
          & root_occ(X66,X65)
          & occurrence_of(X67,tptp4)
          & next_subocc(X66,X67,tptp0)
          & ( occurrence_of(X68,tptp1)
            | occurrence_of(X68,tptp2) )
          & next_subocc(X67,X68,tptp0)
          & leaf_occ(X68,X65) ) ),
    file('/tmp/tmpuVTkyQ/sel_PRO011+4.p_1',sos_32) ).

fof(37,axiom,
    ! [X83,X84] :
      ( leaf_occ(X83,X84)
    <=> ? [X85] :
          ( occurrence_of(X84,X85)
          & subactivity_occurrence(X83,X84)
          & leaf(X83,X85) ) ),
    file('/tmp/tmpuVTkyQ/sel_PRO011+4.p_1',sos_18) ).

fof(42,axiom,
    ! [X95,X96] :
      ( leaf(X95,X96)
    <=> ( ( root(X95,X96)
          | ? [X97] : min_precedes(X97,X95,X96) )
        & ~ ? [X98] : min_precedes(X95,X98,X96) ) ),
    file('/tmp/tmpuVTkyQ/sel_PRO011+4.p_1',sos_15) ).

fof(46,conjecture,
    ! [X106] :
      ( occurrence_of(X106,tptp0)
     => ? [X107,X108] :
          ( leaf_occ(X108,X106)
          & ( occurrence_of(X108,tptp1)
           => ~ ? [X109] :
                  ( occurrence_of(X109,tptp2)
                  & subactivity_occurrence(X109,X106)
                  & min_precedes(X107,X109,tptp0) ) )
          & ( occurrence_of(X108,tptp2)
           => ~ ? [X110] :
                  ( occurrence_of(X110,tptp1)
                  & subactivity_occurrence(X110,X106)
                  & min_precedes(X107,X110,tptp0) ) ) ) ),
    file('/tmp/tmpuVTkyQ/sel_PRO011+4.p_1',goals) ).

fof(47,negated_conjecture,
    ~ ! [X106] :
        ( occurrence_of(X106,tptp0)
       => ? [X107,X108] :
            ( leaf_occ(X108,X106)
            & ( occurrence_of(X108,tptp1)
             => ~ ? [X109] :
                    ( occurrence_of(X109,tptp2)
                    & subactivity_occurrence(X109,X106)
                    & min_precedes(X107,X109,tptp0) ) )
            & ( occurrence_of(X108,tptp2)
             => ~ ? [X110] :
                    ( occurrence_of(X110,tptp1)
                    & subactivity_occurrence(X110,X106)
                    & min_precedes(X107,X110,tptp0) ) ) ) ),
    inference(assume_negation,[status(cth)],[46]) ).

fof(96,plain,
    ! [X33,X34,X35] :
      ( ~ occurrence_of(X33,X34)
      | ~ occurrence_of(X33,X35)
      | X34 = X35 ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(97,plain,
    ! [X36,X37,X38] :
      ( ~ occurrence_of(X36,X37)
      | ~ occurrence_of(X36,X38)
      | X37 = X38 ),
    inference(variable_rename,[status(thm)],[96]) ).

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

cnf(140,plain,
    tptp1 != tptp2,
    inference(split_conjunct,[status(thm)],[24]) ).

fof(142,plain,
    ! [X65] :
      ( ~ occurrence_of(X65,tptp0)
      | ? [X66,X67,X68] :
          ( occurrence_of(X66,tptp3)
          & root_occ(X66,X65)
          & occurrence_of(X67,tptp4)
          & next_subocc(X66,X67,tptp0)
          & ( occurrence_of(X68,tptp1)
            | occurrence_of(X68,tptp2) )
          & next_subocc(X67,X68,tptp0)
          & leaf_occ(X68,X65) ) ),
    inference(fof_nnf,[status(thm)],[26]) ).

fof(143,plain,
    ! [X69] :
      ( ~ occurrence_of(X69,tptp0)
      | ? [X70,X71,X72] :
          ( occurrence_of(X70,tptp3)
          & root_occ(X70,X69)
          & occurrence_of(X71,tptp4)
          & next_subocc(X70,X71,tptp0)
          & ( occurrence_of(X72,tptp1)
            | occurrence_of(X72,tptp2) )
          & next_subocc(X71,X72,tptp0)
          & leaf_occ(X72,X69) ) ),
    inference(variable_rename,[status(thm)],[142]) ).

fof(144,plain,
    ! [X69] :
      ( ~ occurrence_of(X69,tptp0)
      | ( occurrence_of(esk6_1(X69),tptp3)
        & root_occ(esk6_1(X69),X69)
        & occurrence_of(esk7_1(X69),tptp4)
        & next_subocc(esk6_1(X69),esk7_1(X69),tptp0)
        & ( occurrence_of(esk8_1(X69),tptp1)
          | occurrence_of(esk8_1(X69),tptp2) )
        & next_subocc(esk7_1(X69),esk8_1(X69),tptp0)
        & leaf_occ(esk8_1(X69),X69) ) ),
    inference(skolemize,[status(esa)],[143]) ).

fof(145,plain,
    ! [X69] :
      ( ( occurrence_of(esk6_1(X69),tptp3)
        | ~ occurrence_of(X69,tptp0) )
      & ( root_occ(esk6_1(X69),X69)
        | ~ occurrence_of(X69,tptp0) )
      & ( occurrence_of(esk7_1(X69),tptp4)
        | ~ occurrence_of(X69,tptp0) )
      & ( next_subocc(esk6_1(X69),esk7_1(X69),tptp0)
        | ~ occurrence_of(X69,tptp0) )
      & ( occurrence_of(esk8_1(X69),tptp1)
        | occurrence_of(esk8_1(X69),tptp2)
        | ~ occurrence_of(X69,tptp0) )
      & ( next_subocc(esk7_1(X69),esk8_1(X69),tptp0)
        | ~ occurrence_of(X69,tptp0) )
      & ( leaf_occ(esk8_1(X69),X69)
        | ~ occurrence_of(X69,tptp0) ) ),
    inference(distribute,[status(thm)],[144]) ).

cnf(146,plain,
    ( leaf_occ(esk8_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[145]) ).

fof(183,plain,
    ! [X83,X84] :
      ( ( ~ leaf_occ(X83,X84)
        | ? [X85] :
            ( occurrence_of(X84,X85)
            & subactivity_occurrence(X83,X84)
            & leaf(X83,X85) ) )
      & ( ! [X85] :
            ( ~ occurrence_of(X84,X85)
            | ~ subactivity_occurrence(X83,X84)
            | ~ leaf(X83,X85) )
        | leaf_occ(X83,X84) ) ),
    inference(fof_nnf,[status(thm)],[37]) ).

fof(184,plain,
    ! [X86,X87] :
      ( ( ~ leaf_occ(X86,X87)
        | ? [X88] :
            ( occurrence_of(X87,X88)
            & subactivity_occurrence(X86,X87)
            & leaf(X86,X88) ) )
      & ( ! [X89] :
            ( ~ occurrence_of(X87,X89)
            | ~ subactivity_occurrence(X86,X87)
            | ~ leaf(X86,X89) )
        | leaf_occ(X86,X87) ) ),
    inference(variable_rename,[status(thm)],[183]) ).

fof(185,plain,
    ! [X86,X87] :
      ( ( ~ leaf_occ(X86,X87)
        | ( occurrence_of(X87,esk11_2(X86,X87))
          & subactivity_occurrence(X86,X87)
          & leaf(X86,esk11_2(X86,X87)) ) )
      & ( ! [X89] :
            ( ~ occurrence_of(X87,X89)
            | ~ subactivity_occurrence(X86,X87)
            | ~ leaf(X86,X89) )
        | leaf_occ(X86,X87) ) ),
    inference(skolemize,[status(esa)],[184]) ).

fof(186,plain,
    ! [X86,X87,X89] :
      ( ( ~ occurrence_of(X87,X89)
        | ~ subactivity_occurrence(X86,X87)
        | ~ leaf(X86,X89)
        | leaf_occ(X86,X87) )
      & ( ~ leaf_occ(X86,X87)
        | ( occurrence_of(X87,esk11_2(X86,X87))
          & subactivity_occurrence(X86,X87)
          & leaf(X86,esk11_2(X86,X87)) ) ) ),
    inference(shift_quantors,[status(thm)],[185]) ).

fof(187,plain,
    ! [X86,X87,X89] :
      ( ( ~ occurrence_of(X87,X89)
        | ~ subactivity_occurrence(X86,X87)
        | ~ leaf(X86,X89)
        | leaf_occ(X86,X87) )
      & ( occurrence_of(X87,esk11_2(X86,X87))
        | ~ leaf_occ(X86,X87) )
      & ( subactivity_occurrence(X86,X87)
        | ~ leaf_occ(X86,X87) )
      & ( leaf(X86,esk11_2(X86,X87))
        | ~ leaf_occ(X86,X87) ) ),
    inference(distribute,[status(thm)],[186]) ).

cnf(188,plain,
    ( leaf(X1,esk11_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[187]) ).

cnf(190,plain,
    ( occurrence_of(X2,esk11_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[187]) ).

fof(210,plain,
    ! [X95,X96] :
      ( ( ~ leaf(X95,X96)
        | ( ( root(X95,X96)
            | ? [X97] : min_precedes(X97,X95,X96) )
          & ! [X98] : ~ min_precedes(X95,X98,X96) ) )
      & ( ( ~ root(X95,X96)
          & ! [X97] : ~ min_precedes(X97,X95,X96) )
        | ? [X98] : min_precedes(X95,X98,X96)
        | leaf(X95,X96) ) ),
    inference(fof_nnf,[status(thm)],[42]) ).

fof(211,plain,
    ! [X99,X100] :
      ( ( ~ leaf(X99,X100)
        | ( ( root(X99,X100)
            | ? [X101] : min_precedes(X101,X99,X100) )
          & ! [X102] : ~ min_precedes(X99,X102,X100) ) )
      & ( ( ~ root(X99,X100)
          & ! [X103] : ~ min_precedes(X103,X99,X100) )
        | ? [X104] : min_precedes(X99,X104,X100)
        | leaf(X99,X100) ) ),
    inference(variable_rename,[status(thm)],[210]) ).

fof(212,plain,
    ! [X99,X100] :
      ( ( ~ leaf(X99,X100)
        | ( ( root(X99,X100)
            | min_precedes(esk13_2(X99,X100),X99,X100) )
          & ! [X102] : ~ min_precedes(X99,X102,X100) ) )
      & ( ( ~ root(X99,X100)
          & ! [X103] : ~ min_precedes(X103,X99,X100) )
        | min_precedes(X99,esk14_2(X99,X100),X100)
        | leaf(X99,X100) ) ),
    inference(skolemize,[status(esa)],[211]) ).

fof(213,plain,
    ! [X99,X100,X102,X103] :
      ( ( ( ~ min_precedes(X103,X99,X100)
          & ~ root(X99,X100) )
        | min_precedes(X99,esk14_2(X99,X100),X100)
        | leaf(X99,X100) )
      & ( ( ~ min_precedes(X99,X102,X100)
          & ( root(X99,X100)
            | min_precedes(esk13_2(X99,X100),X99,X100) ) )
        | ~ leaf(X99,X100) ) ),
    inference(shift_quantors,[status(thm)],[212]) ).

fof(214,plain,
    ! [X99,X100,X102,X103] :
      ( ( ~ min_precedes(X103,X99,X100)
        | min_precedes(X99,esk14_2(X99,X100),X100)
        | leaf(X99,X100) )
      & ( ~ root(X99,X100)
        | min_precedes(X99,esk14_2(X99,X100),X100)
        | leaf(X99,X100) )
      & ( ~ min_precedes(X99,X102,X100)
        | ~ leaf(X99,X100) )
      & ( root(X99,X100)
        | min_precedes(esk13_2(X99,X100),X99,X100)
        | ~ leaf(X99,X100) ) ),
    inference(distribute,[status(thm)],[213]) ).

cnf(216,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[214]) ).

fof(236,negated_conjecture,
    ? [X106] :
      ( occurrence_of(X106,tptp0)
      & ! [X107,X108] :
          ( ~ leaf_occ(X108,X106)
          | ( occurrence_of(X108,tptp1)
            & ? [X109] :
                ( occurrence_of(X109,tptp2)
                & subactivity_occurrence(X109,X106)
                & min_precedes(X107,X109,tptp0) ) )
          | ( occurrence_of(X108,tptp2)
            & ? [X110] :
                ( occurrence_of(X110,tptp1)
                & subactivity_occurrence(X110,X106)
                & min_precedes(X107,X110,tptp0) ) ) ) ),
    inference(fof_nnf,[status(thm)],[47]) ).

fof(237,negated_conjecture,
    ? [X111] :
      ( occurrence_of(X111,tptp0)
      & ! [X112,X113] :
          ( ~ leaf_occ(X113,X111)
          | ( occurrence_of(X113,tptp1)
            & ? [X114] :
                ( occurrence_of(X114,tptp2)
                & subactivity_occurrence(X114,X111)
                & min_precedes(X112,X114,tptp0) ) )
          | ( occurrence_of(X113,tptp2)
            & ? [X115] :
                ( occurrence_of(X115,tptp1)
                & subactivity_occurrence(X115,X111)
                & min_precedes(X112,X115,tptp0) ) ) ) ),
    inference(variable_rename,[status(thm)],[236]) ).

fof(238,negated_conjecture,
    ( occurrence_of(esk16_0,tptp0)
    & ! [X112,X113] :
        ( ~ leaf_occ(X113,esk16_0)
        | ( occurrence_of(X113,tptp1)
          & occurrence_of(esk17_2(X112,X113),tptp2)
          & subactivity_occurrence(esk17_2(X112,X113),esk16_0)
          & min_precedes(X112,esk17_2(X112,X113),tptp0) )
        | ( occurrence_of(X113,tptp2)
          & occurrence_of(esk18_2(X112,X113),tptp1)
          & subactivity_occurrence(esk18_2(X112,X113),esk16_0)
          & min_precedes(X112,esk18_2(X112,X113),tptp0) ) ) ),
    inference(skolemize,[status(esa)],[237]) ).

fof(239,negated_conjecture,
    ! [X112,X113] :
      ( ( ~ leaf_occ(X113,esk16_0)
        | ( occurrence_of(X113,tptp1)
          & occurrence_of(esk17_2(X112,X113),tptp2)
          & subactivity_occurrence(esk17_2(X112,X113),esk16_0)
          & min_precedes(X112,esk17_2(X112,X113),tptp0) )
        | ( occurrence_of(X113,tptp2)
          & occurrence_of(esk18_2(X112,X113),tptp1)
          & subactivity_occurrence(esk18_2(X112,X113),esk16_0)
          & min_precedes(X112,esk18_2(X112,X113),tptp0) ) )
      & occurrence_of(esk16_0,tptp0) ),
    inference(shift_quantors,[status(thm)],[238]) ).

fof(240,negated_conjecture,
    ! [X112,X113] :
      ( ( occurrence_of(X113,tptp2)
        | occurrence_of(X113,tptp1)
        | ~ leaf_occ(X113,esk16_0) )
      & ( occurrence_of(esk18_2(X112,X113),tptp1)
        | occurrence_of(X113,tptp1)
        | ~ leaf_occ(X113,esk16_0) )
      & ( subactivity_occurrence(esk18_2(X112,X113),esk16_0)
        | occurrence_of(X113,tptp1)
        | ~ leaf_occ(X113,esk16_0) )
      & ( min_precedes(X112,esk18_2(X112,X113),tptp0)
        | occurrence_of(X113,tptp1)
        | ~ leaf_occ(X113,esk16_0) )
      & ( occurrence_of(X113,tptp2)
        | occurrence_of(esk17_2(X112,X113),tptp2)
        | ~ leaf_occ(X113,esk16_0) )
      & ( occurrence_of(esk18_2(X112,X113),tptp1)
        | occurrence_of(esk17_2(X112,X113),tptp2)
        | ~ leaf_occ(X113,esk16_0) )
      & ( subactivity_occurrence(esk18_2(X112,X113),esk16_0)
        | occurrence_of(esk17_2(X112,X113),tptp2)
        | ~ leaf_occ(X113,esk16_0) )
      & ( min_precedes(X112,esk18_2(X112,X113),tptp0)
        | occurrence_of(esk17_2(X112,X113),tptp2)
        | ~ leaf_occ(X113,esk16_0) )
      & ( occurrence_of(X113,tptp2)
        | subactivity_occurrence(esk17_2(X112,X113),esk16_0)
        | ~ leaf_occ(X113,esk16_0) )
      & ( occurrence_of(esk18_2(X112,X113),tptp1)
        | subactivity_occurrence(esk17_2(X112,X113),esk16_0)
        | ~ leaf_occ(X113,esk16_0) )
      & ( subactivity_occurrence(esk18_2(X112,X113),esk16_0)
        | subactivity_occurrence(esk17_2(X112,X113),esk16_0)
        | ~ leaf_occ(X113,esk16_0) )
      & ( min_precedes(X112,esk18_2(X112,X113),tptp0)
        | subactivity_occurrence(esk17_2(X112,X113),esk16_0)
        | ~ leaf_occ(X113,esk16_0) )
      & ( occurrence_of(X113,tptp2)
        | min_precedes(X112,esk17_2(X112,X113),tptp0)
        | ~ leaf_occ(X113,esk16_0) )
      & ( occurrence_of(esk18_2(X112,X113),tptp1)
        | min_precedes(X112,esk17_2(X112,X113),tptp0)
        | ~ leaf_occ(X113,esk16_0) )
      & ( subactivity_occurrence(esk18_2(X112,X113),esk16_0)
        | min_precedes(X112,esk17_2(X112,X113),tptp0)
        | ~ leaf_occ(X113,esk16_0) )
      & ( min_precedes(X112,esk18_2(X112,X113),tptp0)
        | min_precedes(X112,esk17_2(X112,X113),tptp0)
        | ~ leaf_occ(X113,esk16_0) )
      & occurrence_of(esk16_0,tptp0) ),
    inference(distribute,[status(thm)],[239]) ).

cnf(241,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    inference(split_conjunct,[status(thm)],[240]) ).

cnf(245,negated_conjecture,
    ( min_precedes(X2,esk17_2(X2,X1),tptp0)
    | occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(split_conjunct,[status(thm)],[240]) ).

cnf(254,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | min_precedes(X2,esk18_2(X2,X1),tptp0)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(split_conjunct,[status(thm)],[240]) ).

cnf(280,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[98,241,theory(equality)]) ).

cnf(321,negated_conjecture,
    ( occurrence_of(X2,tptp1)
    | ~ leaf(X1,tptp0)
    | ~ leaf_occ(X2,esk16_0) ),
    inference(spm,[status(thm)],[216,254,theory(equality)]) ).

cnf(325,negated_conjecture,
    ( occurrence_of(X2,tptp2)
    | ~ leaf(X1,tptp0)
    | ~ leaf_occ(X2,esk16_0) ),
    inference(spm,[status(thm)],[216,245,theory(equality)]) ).

cnf(495,negated_conjecture,
    ( esk11_2(X1,esk16_0) = tptp0
    | ~ leaf_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[280,190,theory(equality)]) ).

cnf(540,negated_conjecture,
    ( leaf(X1,tptp0)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[188,495,theory(equality)]) ).

cnf(575,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | ~ leaf_occ(X1,esk16_0)
    | ~ leaf_occ(X2,esk16_0) ),
    inference(spm,[status(thm)],[321,540,theory(equality)]) ).

cnf(576,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp1)
    | ~ leaf_occ(X1,esk16_0)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[575,146,theory(equality)]) ).

cnf(577,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp1)
    | ~ leaf_occ(X1,esk16_0)
    | $false ),
    inference(rw,[status(thm)],[576,241,theory(equality)]) ).

cnf(578,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp1)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(cn,[status(thm)],[577,theory(equality)]) ).

cnf(579,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp1)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[578,146,theory(equality)]) ).

cnf(580,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp1)
    | $false ),
    inference(rw,[status(thm)],[579,241,theory(equality)]) ).

cnf(581,negated_conjecture,
    occurrence_of(esk8_1(esk16_0),tptp1),
    inference(cn,[status(thm)],[580,theory(equality)]) ).

cnf(584,negated_conjecture,
    ( X1 = tptp1
    | ~ occurrence_of(esk8_1(esk16_0),X1) ),
    inference(spm,[status(thm)],[98,581,theory(equality)]) ).

cnf(613,negated_conjecture,
    ( occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk16_0)
    | ~ leaf_occ(X2,esk16_0) ),
    inference(spm,[status(thm)],[325,540,theory(equality)]) ).

cnf(614,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp2)
    | ~ leaf_occ(X1,esk16_0)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[613,146,theory(equality)]) ).

cnf(615,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp2)
    | ~ leaf_occ(X1,esk16_0)
    | $false ),
    inference(rw,[status(thm)],[614,241,theory(equality)]) ).

cnf(616,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp2)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(cn,[status(thm)],[615,theory(equality)]) ).

cnf(617,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp2)
    | ~ occurrence_of(esk16_0,tptp0) ),
    inference(spm,[status(thm)],[616,146,theory(equality)]) ).

cnf(618,negated_conjecture,
    ( occurrence_of(esk8_1(esk16_0),tptp2)
    | $false ),
    inference(rw,[status(thm)],[617,241,theory(equality)]) ).

cnf(619,negated_conjecture,
    occurrence_of(esk8_1(esk16_0),tptp2),
    inference(cn,[status(thm)],[618,theory(equality)]) ).

cnf(625,negated_conjecture,
    tptp2 = tptp1,
    inference(spm,[status(thm)],[584,619,theory(equality)]) ).

cnf(635,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[625,140,theory(equality)]) ).

cnf(636,negated_conjecture,
    $false,
    635,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PRO/PRO011+4.p
% --creating new selector for []
% -running prover on /tmp/tmpuVTkyQ/sel_PRO011+4.p_1 with time limit 29
% -prover status Theorem
% Problem PRO011+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PRO/PRO011+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PRO/PRO011+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
% 
%------------------------------------------------------------------------------