TSTP Solution File: PRO011+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : PRO011+1 : 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 00:37:44 EST 2010

% Result   : Theorem 0.22s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   60 (   8 unt;   0 def)
%            Number of atoms       :  329 (  10 equ)
%            Maximal formula atoms :   49 (   5 avg)
%            Number of connectives :  383 ( 114   ~; 139   |; 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   :  128 (  11 sgn  65   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(6,axiom,
    ! [X16,X17] :
      ( leaf(X16,X17)
    <=> ( ( root(X16,X17)
          | ? [X18] : min_precedes(X18,X16,X17) )
        & ~ ? [X19] : min_precedes(X16,X19,X17) ) ),
    file('/tmp/tmpXinYyD/sel_PRO011+1.p_1',sos_21) ).

fof(12,axiom,
    tptp1 != tptp2,
    file('/tmp/tmpXinYyD/sel_PRO011+1.p_1',sos_47) ).

fof(19,axiom,
    ! [X38,X39,X40] :
      ( ( occurrence_of(X38,X39)
        & occurrence_of(X38,X40) )
     => X39 = X40 ),
    file('/tmp/tmpXinYyD/sel_PRO011+1.p_1',sos_02) ).

fof(33,axiom,
    ! [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) ) ),
    file('/tmp/tmpXinYyD/sel_PRO011+1.p_1',sos_35) ).

fof(34,axiom,
    ! [X73,X74] :
      ( leaf_occ(X73,X74)
    <=> ? [X75] :
          ( occurrence_of(X74,X75)
          & subactivity_occurrence(X73,X74)
          & leaf(X73,X75) ) ),
    file('/tmp/tmpXinYyD/sel_PRO011+1.p_1',sos_34) ).

fof(49,conjecture,
    ! [X110] :
      ( occurrence_of(X110,tptp0)
     => ? [X111,X112] :
          ( leaf_occ(X112,X110)
          & ( occurrence_of(X112,tptp1)
           => ~ ? [X113] :
                  ( occurrence_of(X113,tptp2)
                  & subactivity_occurrence(X113,X110)
                  & min_precedes(X111,X113,tptp0) ) )
          & ( occurrence_of(X112,tptp2)
           => ~ ? [X114] :
                  ( occurrence_of(X114,tptp1)
                  & subactivity_occurrence(X114,X110)
                  & min_precedes(X111,X114,tptp0) ) ) ) ),
    file('/tmp/tmpXinYyD/sel_PRO011+1.p_1',goals) ).

fof(50,negated_conjecture,
    ~ ! [X110] :
        ( occurrence_of(X110,tptp0)
       => ? [X111,X112] :
            ( leaf_occ(X112,X110)
            & ( occurrence_of(X112,tptp1)
             => ~ ? [X113] :
                    ( occurrence_of(X113,tptp2)
                    & subactivity_occurrence(X113,X110)
                    & min_precedes(X111,X113,tptp0) ) )
            & ( occurrence_of(X112,tptp2)
             => ~ ? [X114] :
                    ( occurrence_of(X114,tptp1)
                    & subactivity_occurrence(X114,X110)
                    & min_precedes(X111,X114,tptp0) ) ) ) ),
    inference(assume_negation,[status(cth)],[49]) ).

fof(85,plain,
    ! [X16,X17] :
      ( ( ~ leaf(X16,X17)
        | ( ( root(X16,X17)
            | ? [X18] : min_precedes(X18,X16,X17) )
          & ! [X19] : ~ min_precedes(X16,X19,X17) ) )
      & ( ( ~ root(X16,X17)
          & ! [X18] : ~ min_precedes(X18,X16,X17) )
        | ? [X19] : min_precedes(X16,X19,X17)
        | leaf(X16,X17) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(86,plain,
    ! [X20,X21] :
      ( ( ~ leaf(X20,X21)
        | ( ( root(X20,X21)
            | ? [X22] : min_precedes(X22,X20,X21) )
          & ! [X23] : ~ min_precedes(X20,X23,X21) ) )
      & ( ( ~ root(X20,X21)
          & ! [X24] : ~ min_precedes(X24,X20,X21) )
        | ? [X25] : min_precedes(X20,X25,X21)
        | leaf(X20,X21) ) ),
    inference(variable_rename,[status(thm)],[85]) ).

fof(87,plain,
    ! [X20,X21] :
      ( ( ~ leaf(X20,X21)
        | ( ( root(X20,X21)
            | min_precedes(esk3_2(X20,X21),X20,X21) )
          & ! [X23] : ~ min_precedes(X20,X23,X21) ) )
      & ( ( ~ root(X20,X21)
          & ! [X24] : ~ min_precedes(X24,X20,X21) )
        | min_precedes(X20,esk4_2(X20,X21),X21)
        | leaf(X20,X21) ) ),
    inference(skolemize,[status(esa)],[86]) ).

fof(88,plain,
    ! [X20,X21,X23,X24] :
      ( ( ( ~ min_precedes(X24,X20,X21)
          & ~ root(X20,X21) )
        | min_precedes(X20,esk4_2(X20,X21),X21)
        | leaf(X20,X21) )
      & ( ( ~ min_precedes(X20,X23,X21)
          & ( root(X20,X21)
            | min_precedes(esk3_2(X20,X21),X20,X21) ) )
        | ~ leaf(X20,X21) ) ),
    inference(shift_quantors,[status(thm)],[87]) ).

fof(89,plain,
    ! [X20,X21,X23,X24] :
      ( ( ~ min_precedes(X24,X20,X21)
        | min_precedes(X20,esk4_2(X20,X21),X21)
        | leaf(X20,X21) )
      & ( ~ root(X20,X21)
        | min_precedes(X20,esk4_2(X20,X21),X21)
        | leaf(X20,X21) )
      & ( ~ min_precedes(X20,X23,X21)
        | ~ leaf(X20,X21) )
      & ( root(X20,X21)
        | min_precedes(esk3_2(X20,X21),X20,X21)
        | ~ leaf(X20,X21) ) ),
    inference(distribute,[status(thm)],[88]) ).

cnf(91,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[89]) ).

cnf(119,plain,
    tptp1 != tptp2,
    inference(split_conjunct,[status(thm)],[12]) ).

fof(130,plain,
    ! [X38,X39,X40] :
      ( ~ occurrence_of(X38,X39)
      | ~ occurrence_of(X38,X40)
      | X39 = X40 ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(131,plain,
    ! [X41,X42,X43] :
      ( ~ occurrence_of(X41,X42)
      | ~ occurrence_of(X41,X43)
      | X42 = X43 ),
    inference(variable_rename,[status(thm)],[130]) ).

cnf(132,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    inference(split_conjunct,[status(thm)],[131]) ).

fof(180,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(fof_nnf,[status(thm)],[33]) ).

fof(181,plain,
    ! [X73] :
      ( ~ occurrence_of(X73,tptp0)
      | ? [X74,X75,X76] :
          ( occurrence_of(X74,tptp3)
          & root_occ(X74,X73)
          & occurrence_of(X75,tptp4)
          & next_subocc(X74,X75,tptp0)
          & ( occurrence_of(X76,tptp1)
            | occurrence_of(X76,tptp2) )
          & next_subocc(X75,X76,tptp0)
          & leaf_occ(X76,X73) ) ),
    inference(variable_rename,[status(thm)],[180]) ).

fof(182,plain,
    ! [X73] :
      ( ~ occurrence_of(X73,tptp0)
      | ( occurrence_of(esk10_1(X73),tptp3)
        & root_occ(esk10_1(X73),X73)
        & occurrence_of(esk11_1(X73),tptp4)
        & next_subocc(esk10_1(X73),esk11_1(X73),tptp0)
        & ( occurrence_of(esk12_1(X73),tptp1)
          | occurrence_of(esk12_1(X73),tptp2) )
        & next_subocc(esk11_1(X73),esk12_1(X73),tptp0)
        & leaf_occ(esk12_1(X73),X73) ) ),
    inference(skolemize,[status(esa)],[181]) ).

fof(183,plain,
    ! [X73] :
      ( ( occurrence_of(esk10_1(X73),tptp3)
        | ~ occurrence_of(X73,tptp0) )
      & ( root_occ(esk10_1(X73),X73)
        | ~ occurrence_of(X73,tptp0) )
      & ( occurrence_of(esk11_1(X73),tptp4)
        | ~ occurrence_of(X73,tptp0) )
      & ( next_subocc(esk10_1(X73),esk11_1(X73),tptp0)
        | ~ occurrence_of(X73,tptp0) )
      & ( occurrence_of(esk12_1(X73),tptp1)
        | occurrence_of(esk12_1(X73),tptp2)
        | ~ occurrence_of(X73,tptp0) )
      & ( next_subocc(esk11_1(X73),esk12_1(X73),tptp0)
        | ~ occurrence_of(X73,tptp0) )
      & ( leaf_occ(esk12_1(X73),X73)
        | ~ occurrence_of(X73,tptp0) ) ),
    inference(distribute,[status(thm)],[182]) ).

cnf(184,plain,
    ( leaf_occ(esk12_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[183]) ).

fof(191,plain,
    ! [X73,X74] :
      ( ( ~ leaf_occ(X73,X74)
        | ? [X75] :
            ( occurrence_of(X74,X75)
            & subactivity_occurrence(X73,X74)
            & leaf(X73,X75) ) )
      & ( ! [X75] :
            ( ~ occurrence_of(X74,X75)
            | ~ subactivity_occurrence(X73,X74)
            | ~ leaf(X73,X75) )
        | leaf_occ(X73,X74) ) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(192,plain,
    ! [X76,X77] :
      ( ( ~ leaf_occ(X76,X77)
        | ? [X78] :
            ( occurrence_of(X77,X78)
            & subactivity_occurrence(X76,X77)
            & leaf(X76,X78) ) )
      & ( ! [X79] :
            ( ~ occurrence_of(X77,X79)
            | ~ subactivity_occurrence(X76,X77)
            | ~ leaf(X76,X79) )
        | leaf_occ(X76,X77) ) ),
    inference(variable_rename,[status(thm)],[191]) ).

fof(193,plain,
    ! [X76,X77] :
      ( ( ~ leaf_occ(X76,X77)
        | ( occurrence_of(X77,esk13_2(X76,X77))
          & subactivity_occurrence(X76,X77)
          & leaf(X76,esk13_2(X76,X77)) ) )
      & ( ! [X79] :
            ( ~ occurrence_of(X77,X79)
            | ~ subactivity_occurrence(X76,X77)
            | ~ leaf(X76,X79) )
        | leaf_occ(X76,X77) ) ),
    inference(skolemize,[status(esa)],[192]) ).

fof(194,plain,
    ! [X76,X77,X79] :
      ( ( ~ occurrence_of(X77,X79)
        | ~ subactivity_occurrence(X76,X77)
        | ~ leaf(X76,X79)
        | leaf_occ(X76,X77) )
      & ( ~ leaf_occ(X76,X77)
        | ( occurrence_of(X77,esk13_2(X76,X77))
          & subactivity_occurrence(X76,X77)
          & leaf(X76,esk13_2(X76,X77)) ) ) ),
    inference(shift_quantors,[status(thm)],[193]) ).

fof(195,plain,
    ! [X76,X77,X79] :
      ( ( ~ occurrence_of(X77,X79)
        | ~ subactivity_occurrence(X76,X77)
        | ~ leaf(X76,X79)
        | leaf_occ(X76,X77) )
      & ( occurrence_of(X77,esk13_2(X76,X77))
        | ~ leaf_occ(X76,X77) )
      & ( subactivity_occurrence(X76,X77)
        | ~ leaf_occ(X76,X77) )
      & ( leaf(X76,esk13_2(X76,X77))
        | ~ leaf_occ(X76,X77) ) ),
    inference(distribute,[status(thm)],[194]) ).

cnf(196,plain,
    ( leaf(X1,esk13_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[195]) ).

cnf(198,plain,
    ( occurrence_of(X2,esk13_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[195]) ).

fof(253,negated_conjecture,
    ? [X110] :
      ( occurrence_of(X110,tptp0)
      & ! [X111,X112] :
          ( ~ leaf_occ(X112,X110)
          | ( occurrence_of(X112,tptp1)
            & ? [X113] :
                ( occurrence_of(X113,tptp2)
                & subactivity_occurrence(X113,X110)
                & min_precedes(X111,X113,tptp0) ) )
          | ( occurrence_of(X112,tptp2)
            & ? [X114] :
                ( occurrence_of(X114,tptp1)
                & subactivity_occurrence(X114,X110)
                & min_precedes(X111,X114,tptp0) ) ) ) ),
    inference(fof_nnf,[status(thm)],[50]) ).

fof(254,negated_conjecture,
    ? [X115] :
      ( occurrence_of(X115,tptp0)
      & ! [X116,X117] :
          ( ~ leaf_occ(X117,X115)
          | ( occurrence_of(X117,tptp1)
            & ? [X118] :
                ( occurrence_of(X118,tptp2)
                & subactivity_occurrence(X118,X115)
                & min_precedes(X116,X118,tptp0) ) )
          | ( occurrence_of(X117,tptp2)
            & ? [X119] :
                ( occurrence_of(X119,tptp1)
                & subactivity_occurrence(X119,X115)
                & min_precedes(X116,X119,tptp0) ) ) ) ),
    inference(variable_rename,[status(thm)],[253]) ).

fof(255,negated_conjecture,
    ( occurrence_of(esk19_0,tptp0)
    & ! [X116,X117] :
        ( ~ leaf_occ(X117,esk19_0)
        | ( occurrence_of(X117,tptp1)
          & occurrence_of(esk20_2(X116,X117),tptp2)
          & subactivity_occurrence(esk20_2(X116,X117),esk19_0)
          & min_precedes(X116,esk20_2(X116,X117),tptp0) )
        | ( occurrence_of(X117,tptp2)
          & occurrence_of(esk21_2(X116,X117),tptp1)
          & subactivity_occurrence(esk21_2(X116,X117),esk19_0)
          & min_precedes(X116,esk21_2(X116,X117),tptp0) ) ) ),
    inference(skolemize,[status(esa)],[254]) ).

fof(256,negated_conjecture,
    ! [X116,X117] :
      ( ( ~ leaf_occ(X117,esk19_0)
        | ( occurrence_of(X117,tptp1)
          & occurrence_of(esk20_2(X116,X117),tptp2)
          & subactivity_occurrence(esk20_2(X116,X117),esk19_0)
          & min_precedes(X116,esk20_2(X116,X117),tptp0) )
        | ( occurrence_of(X117,tptp2)
          & occurrence_of(esk21_2(X116,X117),tptp1)
          & subactivity_occurrence(esk21_2(X116,X117),esk19_0)
          & min_precedes(X116,esk21_2(X116,X117),tptp0) ) )
      & occurrence_of(esk19_0,tptp0) ),
    inference(shift_quantors,[status(thm)],[255]) ).

fof(257,negated_conjecture,
    ! [X116,X117] :
      ( ( occurrence_of(X117,tptp2)
        | occurrence_of(X117,tptp1)
        | ~ leaf_occ(X117,esk19_0) )
      & ( occurrence_of(esk21_2(X116,X117),tptp1)
        | occurrence_of(X117,tptp1)
        | ~ leaf_occ(X117,esk19_0) )
      & ( subactivity_occurrence(esk21_2(X116,X117),esk19_0)
        | occurrence_of(X117,tptp1)
        | ~ leaf_occ(X117,esk19_0) )
      & ( min_precedes(X116,esk21_2(X116,X117),tptp0)
        | occurrence_of(X117,tptp1)
        | ~ leaf_occ(X117,esk19_0) )
      & ( occurrence_of(X117,tptp2)
        | occurrence_of(esk20_2(X116,X117),tptp2)
        | ~ leaf_occ(X117,esk19_0) )
      & ( occurrence_of(esk21_2(X116,X117),tptp1)
        | occurrence_of(esk20_2(X116,X117),tptp2)
        | ~ leaf_occ(X117,esk19_0) )
      & ( subactivity_occurrence(esk21_2(X116,X117),esk19_0)
        | occurrence_of(esk20_2(X116,X117),tptp2)
        | ~ leaf_occ(X117,esk19_0) )
      & ( min_precedes(X116,esk21_2(X116,X117),tptp0)
        | occurrence_of(esk20_2(X116,X117),tptp2)
        | ~ leaf_occ(X117,esk19_0) )
      & ( occurrence_of(X117,tptp2)
        | subactivity_occurrence(esk20_2(X116,X117),esk19_0)
        | ~ leaf_occ(X117,esk19_0) )
      & ( occurrence_of(esk21_2(X116,X117),tptp1)
        | subactivity_occurrence(esk20_2(X116,X117),esk19_0)
        | ~ leaf_occ(X117,esk19_0) )
      & ( subactivity_occurrence(esk21_2(X116,X117),esk19_0)
        | subactivity_occurrence(esk20_2(X116,X117),esk19_0)
        | ~ leaf_occ(X117,esk19_0) )
      & ( min_precedes(X116,esk21_2(X116,X117),tptp0)
        | subactivity_occurrence(esk20_2(X116,X117),esk19_0)
        | ~ leaf_occ(X117,esk19_0) )
      & ( occurrence_of(X117,tptp2)
        | min_precedes(X116,esk20_2(X116,X117),tptp0)
        | ~ leaf_occ(X117,esk19_0) )
      & ( occurrence_of(esk21_2(X116,X117),tptp1)
        | min_precedes(X116,esk20_2(X116,X117),tptp0)
        | ~ leaf_occ(X117,esk19_0) )
      & ( subactivity_occurrence(esk21_2(X116,X117),esk19_0)
        | min_precedes(X116,esk20_2(X116,X117),tptp0)
        | ~ leaf_occ(X117,esk19_0) )
      & ( min_precedes(X116,esk21_2(X116,X117),tptp0)
        | min_precedes(X116,esk20_2(X116,X117),tptp0)
        | ~ leaf_occ(X117,esk19_0) )
      & occurrence_of(esk19_0,tptp0) ),
    inference(distribute,[status(thm)],[256]) ).

cnf(258,negated_conjecture,
    occurrence_of(esk19_0,tptp0),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(262,negated_conjecture,
    ( min_precedes(X2,esk20_2(X2,X1),tptp0)
    | occurrence_of(X1,tptp2)
    | ~ leaf_occ(X1,esk19_0) ),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(271,negated_conjecture,
    ( occurrence_of(X1,tptp1)
    | min_precedes(X2,esk21_2(X2,X1),tptp0)
    | ~ leaf_occ(X1,esk19_0) ),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(297,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk19_0,X1) ),
    inference(spm,[status(thm)],[132,258,theory(equality)]) ).

cnf(364,negated_conjecture,
    ( occurrence_of(X2,tptp2)
    | ~ leaf(X1,tptp0)
    | ~ leaf_occ(X2,esk19_0) ),
    inference(spm,[status(thm)],[91,262,theory(equality)]) ).

cnf(368,negated_conjecture,
    ( occurrence_of(X2,tptp1)
    | ~ leaf(X1,tptp0)
    | ~ leaf_occ(X2,esk19_0) ),
    inference(spm,[status(thm)],[91,271,theory(equality)]) ).

cnf(534,negated_conjecture,
    ( esk13_2(X1,esk19_0) = tptp0
    | ~ leaf_occ(X1,esk19_0) ),
    inference(spm,[status(thm)],[297,198,theory(equality)]) ).

cnf(630,negated_conjecture,
    ( leaf(X1,tptp0)
    | ~ leaf_occ(X1,esk19_0) ),
    inference(spm,[status(thm)],[196,534,theory(equality)]) ).

cnf(660,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp2)
    | ~ leaf(X1,tptp0)
    | ~ occurrence_of(esk19_0,tptp0) ),
    inference(spm,[status(thm)],[364,184,theory(equality)]) ).

cnf(661,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp2)
    | ~ leaf(X1,tptp0)
    | $false ),
    inference(rw,[status(thm)],[660,258,theory(equality)]) ).

cnf(662,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp2)
    | ~ leaf(X1,tptp0) ),
    inference(cn,[status(thm)],[661,theory(equality)]) ).

cnf(664,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp2)
    | ~ leaf_occ(X1,esk19_0) ),
    inference(spm,[status(thm)],[662,630,theory(equality)]) ).

cnf(665,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp2)
    | ~ occurrence_of(esk19_0,tptp0) ),
    inference(spm,[status(thm)],[664,184,theory(equality)]) ).

cnf(666,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp2)
    | $false ),
    inference(rw,[status(thm)],[665,258,theory(equality)]) ).

cnf(667,negated_conjecture,
    occurrence_of(esk12_1(esk19_0),tptp2),
    inference(cn,[status(thm)],[666,theory(equality)]) ).

cnf(671,negated_conjecture,
    ( X1 = tptp2
    | ~ occurrence_of(esk12_1(esk19_0),X1) ),
    inference(spm,[status(thm)],[132,667,theory(equality)]) ).

cnf(817,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp1)
    | ~ leaf(X1,tptp0)
    | ~ occurrence_of(esk19_0,tptp0) ),
    inference(spm,[status(thm)],[368,184,theory(equality)]) ).

cnf(818,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp1)
    | ~ leaf(X1,tptp0)
    | $false ),
    inference(rw,[status(thm)],[817,258,theory(equality)]) ).

cnf(819,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp1)
    | ~ leaf(X1,tptp0) ),
    inference(cn,[status(thm)],[818,theory(equality)]) ).

cnf(821,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp1)
    | ~ leaf_occ(X1,esk19_0) ),
    inference(spm,[status(thm)],[819,630,theory(equality)]) ).

cnf(822,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp1)
    | ~ occurrence_of(esk19_0,tptp0) ),
    inference(spm,[status(thm)],[821,184,theory(equality)]) ).

cnf(823,negated_conjecture,
    ( occurrence_of(esk12_1(esk19_0),tptp1)
    | $false ),
    inference(rw,[status(thm)],[822,258,theory(equality)]) ).

cnf(824,negated_conjecture,
    occurrence_of(esk12_1(esk19_0),tptp1),
    inference(cn,[status(thm)],[823,theory(equality)]) ).

cnf(832,negated_conjecture,
    tptp1 = tptp2,
    inference(spm,[status(thm)],[671,824,theory(equality)]) ).

cnf(846,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[832,119,theory(equality)]) ).

cnf(847,negated_conjecture,
    $false,
    846,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PRO/PRO011+1.p
% --creating new selector for []
% -running prover on /tmp/tmpXinYyD/sel_PRO011+1.p_1 with time limit 29
% -prover status Theorem
% Problem PRO011+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PRO/PRO011+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PRO/PRO011+1.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
% 
%------------------------------------------------------------------------------