TSTP Solution File: SWB070+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWB070+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:37:21 EDT 2023

% Result   : Theorem 0.71s 0.71s
% Output   : CNFRefutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  159 (  12 unt;   0 def)
%            Number of atoms       : 1114 (   0 equ)
%            Maximal formula atoms :  160 (   7 avg)
%            Number of connectives : 1464 ( 509   ~; 887   |;  65   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  13 con; 0-6 aty)
%            Number of variables   :  410 (   0 sgn;  36   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_ndis_alldisjointproperties_fi_003,axiom,
    ! [X12,X33,X14,X34,X16,X35] :
      ( ( iext(uri_rdf_first,X12,X33)
        & iext(uri_rdf_rest,X12,X14)
        & iext(uri_rdf_first,X14,X34)
        & iext(uri_rdf_rest,X14,X16)
        & iext(uri_rdf_first,X16,X35)
        & iext(uri_rdf_rest,X16,uri_rdf_nil)
        & ! [X4,X7] :
            ~ ( iext(X33,X4,X7)
              & iext(X34,X4,X7) )
        & ! [X4,X7] :
            ~ ( iext(X33,X4,X7)
              & iext(X35,X4,X7) )
        & ! [X4,X7] :
            ~ ( iext(X34,X4,X7)
              & iext(X35,X4,X7) ) )
     => ? [X11] :
          ( icext(uri_owl_AllDisjointProperties,X11)
          & iext(uri_owl_members,X11,X12) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Gx36VsuNiI/E---3.1_25047.p',owl_ndis_alldisjointproperties_fi_003) ).

fof(premise_rdfbased_sem_ndis_alldisjointproperties_bw,axiom,
    ? [X38,X42,X37] :
      ( iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2)
      & iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p3)
      & iext(uri_rdf_first,X42,uri_ex_p2)
      & iext(uri_rdf_rest,X42,X37)
      & iext(uri_owl_propertyDisjointWith,uri_ex_p2,uri_ex_p3)
      & iext(uri_rdf_first,X38,uri_ex_p1)
      & iext(uri_rdf_rest,X38,X42)
      & iext(uri_rdf_first,X37,uri_ex_p3)
      & iext(uri_rdf_rest,X37,uri_rdf_nil) ),
    file('/export/starexec/sandbox/tmp/tmp.Gx36VsuNiI/E---3.1_25047.p',premise_rdfbased_sem_ndis_alldisjointproperties_bw) ).

fof(owl_eqdis_propertydisjointwith,axiom,
    ! [X33,X34] :
      ( iext(uri_owl_propertyDisjointWith,X33,X34)
    <=> ( ip(X33)
        & ip(X34)
        & ! [X4,X7] :
            ~ ( iext(X33,X4,X7)
              & iext(X34,X4,X7) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Gx36VsuNiI/E---3.1_25047.p',owl_eqdis_propertydisjointwith) ).

fof(conclusion_rdfbased_sem_ndis_alldisjointproperties_bw,conjecture,
    ? [X37,X42,X43,X38] :
      ( iext(uri_rdf_first,X42,uri_ex_p2)
      & iext(uri_rdf_rest,X42,X37)
      & iext(uri_rdf_first,X37,uri_ex_p3)
      & iext(uri_rdf_rest,X37,uri_rdf_nil)
      & iext(uri_rdf_type,X38,uri_owl_AllDisjointProperties)
      & iext(uri_owl_members,X38,X43)
      & iext(uri_rdf_first,X43,uri_ex_p1)
      & iext(uri_rdf_rest,X43,X42) ),
    file('/export/starexec/sandbox/tmp/tmp.Gx36VsuNiI/E---3.1_25047.p',conclusion_rdfbased_sem_ndis_alldisjointproperties_bw) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.Gx36VsuNiI/E---3.1_25047.p',rdfs_cext_def) ).

fof(c_0_5,plain,
    ! [X91,X92,X93,X94,X95,X96] :
      ( ( icext(uri_owl_AllDisjointProperties,esk19_1(X91))
        | iext(X94,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( iext(uri_owl_members,esk19_1(X91),X91)
        | iext(X94,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( icext(uri_owl_AllDisjointProperties,esk19_1(X91))
        | iext(X96,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( iext(uri_owl_members,esk19_1(X91),X91)
        | iext(X96,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( icext(uri_owl_AllDisjointProperties,esk19_1(X91))
        | iext(X94,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X96,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( iext(uri_owl_members,esk19_1(X91),X91)
        | iext(X94,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X96,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( icext(uri_owl_AllDisjointProperties,esk19_1(X91))
        | iext(X96,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X96,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( iext(uri_owl_members,esk19_1(X91),X91)
        | iext(X96,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X96,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( icext(uri_owl_AllDisjointProperties,esk19_1(X91))
        | iext(X94,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X94,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( iext(uri_owl_members,esk19_1(X91),X91)
        | iext(X94,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X94,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( icext(uri_owl_AllDisjointProperties,esk19_1(X91))
        | iext(X96,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X94,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( iext(uri_owl_members,esk19_1(X91),X91)
        | iext(X96,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X92,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X94,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( icext(uri_owl_AllDisjointProperties,esk19_1(X91))
        | iext(X94,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X96,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X94,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( iext(uri_owl_members,esk19_1(X91),X91)
        | iext(X94,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X96,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X94,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( icext(uri_owl_AllDisjointProperties,esk19_1(X91))
        | iext(X96,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X96,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X94,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) )
      & ( iext(uri_owl_members,esk19_1(X91),X91)
        | iext(X96,esk17_6(X91,X92,X93,X94,X95,X96),esk18_6(X91,X92,X93,X94,X95,X96))
        | iext(X96,esk15_6(X91,X92,X93,X94,X95,X96),esk16_6(X91,X92,X93,X94,X95,X96))
        | iext(X94,esk13_6(X91,X92,X93,X94,X95,X96),esk14_6(X91,X92,X93,X94,X95,X96))
        | ~ iext(uri_rdf_first,X91,X92)
        | ~ iext(uri_rdf_rest,X91,X93)
        | ~ iext(uri_rdf_first,X93,X94)
        | ~ iext(uri_rdf_rest,X93,X95)
        | ~ iext(uri_rdf_first,X95,X96)
        | ~ iext(uri_rdf_rest,X95,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_ndis_alldisjointproperties_fi_003])])])])])]) ).

fof(c_0_6,plain,
    ( iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2)
    & iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p3)
    & iext(uri_rdf_first,esk2_0,uri_ex_p2)
    & iext(uri_rdf_rest,esk2_0,esk3_0)
    & iext(uri_owl_propertyDisjointWith,uri_ex_p2,uri_ex_p3)
    & iext(uri_rdf_first,esk1_0,uri_ex_p1)
    & iext(uri_rdf_rest,esk1_0,esk2_0)
    & iext(uri_rdf_first,esk3_0,uri_ex_p3)
    & iext(uri_rdf_rest,esk3_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_ndis_alldisjointproperties_bw])]) ).

cnf(c_0_7,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X5,X6,X2),esk18_6(X1,X3,X4,X5,X6,X2))
    | iext(X2,esk15_6(X1,X3,X4,X5,X6,X2),esk16_6(X1,X3,X4,X5,X6,X2))
    | iext(X5,esk13_6(X1,X3,X4,X5,X6,X2),esk14_6(X1,X3,X4,X5,X6,X2))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X2)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    iext(uri_rdf_rest,esk3_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X5,esk3_0,X2),esk18_6(X1,X3,X4,X5,esk3_0,X2))
    | iext(X2,esk15_6(X1,X3,X4,X5,esk3_0,X2),esk16_6(X1,X3,X4,X5,esk3_0,X2))
    | iext(X5,esk13_6(X1,X3,X4,X5,esk3_0,X2),esk14_6(X1,X3,X4,X5,esk3_0,X2))
    | ~ iext(uri_rdf_first,esk3_0,X2)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_first,esk3_0,uri_ex_p3),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X5,X6,X2),esk18_6(X1,X3,X4,X5,X6,X2))
    | iext(X2,esk15_6(X1,X3,X4,X5,X6,X2),esk16_6(X1,X3,X4,X5,X6,X2))
    | iext(X3,esk13_6(X1,X3,X4,X5,X6,X2),esk14_6(X1,X3,X4,X5,X6,X2))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X2)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,plain,
    ( iext(uri_owl_members,esk19_1(X1),X1)
    | iext(X2,esk17_6(X1,X3,X4,X5,X6,X2),esk18_6(X1,X3,X4,X5,X6,X2))
    | iext(X2,esk15_6(X1,X3,X4,X5,X6,X2),esk16_6(X1,X3,X4,X5,X6,X2))
    | iext(X5,esk13_6(X1,X3,X4,X5,X6,X2),esk14_6(X1,X3,X4,X5,X6,X2))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X2)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X2,X5,X6),esk18_6(X1,X3,X4,X2,X5,X6))
    | iext(X6,esk15_6(X1,X3,X4,X2,X5,X6),esk16_6(X1,X3,X4,X2,X5,X6))
    | iext(X2,esk13_6(X1,X3,X4,X2,X5,X6),esk14_6(X1,X3,X4,X2,X5,X6))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_rest,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X5,esk3_0,X2),esk18_6(X1,X3,X4,X5,esk3_0,X2))
    | iext(X2,esk15_6(X1,X3,X4,X5,esk3_0,X2),esk16_6(X1,X3,X4,X5,esk3_0,X2))
    | iext(X3,esk13_6(X1,X3,X4,X5,esk3_0,X2),esk14_6(X1,X3,X4,X5,esk3_0,X2))
    | ~ iext(uri_rdf_first,esk3_0,X2)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4) ),
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_17,plain,
    ( iext(X1,esk17_6(X2,X3,X4,X5,esk3_0,X1),esk18_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(X1,esk15_6(X2,X3,X4,X5,esk3_0,X1),esk16_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(X5,esk13_6(X2,X3,X4,X5,esk3_0,X1),esk14_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk3_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X2,X4) ),
    inference(spm,[status(thm)],[c_0_12,c_0_8]) ).

cnf(c_0_18,plain,
    ( iext(uri_owl_members,esk19_1(X1),X1)
    | iext(X2,esk17_6(X1,X3,X4,X5,X6,X2),esk18_6(X1,X3,X4,X5,X6,X2))
    | iext(X2,esk15_6(X1,X3,X4,X5,X6,X2),esk16_6(X1,X3,X4,X5,X6,X2))
    | iext(X3,esk13_6(X1,X3,X4,X5,X6,X2),esk14_6(X1,X3,X4,X5,X6,X2))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X2)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X2,esk3_0,X5),esk18_6(X1,X3,X4,X2,esk3_0,X5))
    | iext(X2,esk13_6(X1,X3,X4,X2,esk3_0,X5),esk14_6(X1,X3,X4,X2,esk3_0,X5))
    | iext(X5,esk15_6(X1,X3,X4,X2,esk3_0,X5),esk16_6(X1,X3,X4,X2,esk3_0,X5))
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_8]) ).

cnf(c_0_20,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_21,plain,
    iext(uri_rdf_first,esk2_0,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X2,X5,X6),esk18_6(X1,X3,X4,X2,X5,X6))
    | iext(X6,esk15_6(X1,X3,X4,X2,X5,X6),esk16_6(X1,X3,X4,X2,X5,X6))
    | iext(X3,esk13_6(X1,X3,X4,X2,X5,X6),esk14_6(X1,X3,X4,X2,X5,X6))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_23,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_24,plain,
    ( iext(uri_owl_members,esk19_1(X1),X1)
    | iext(X2,esk17_6(X1,X3,X4,X2,X5,X6),esk18_6(X1,X3,X4,X2,X5,X6))
    | iext(X6,esk15_6(X1,X3,X4,X2,X5,X6),esk16_6(X1,X3,X4,X2,X5,X6))
    | iext(X2,esk13_6(X1,X3,X4,X2,X5,X6),esk14_6(X1,X3,X4,X2,X5,X6))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_25,plain,
    ( iext(uri_ex_p3,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_10]) ).

cnf(c_0_26,plain,
    ( iext(X1,esk17_6(X2,X3,X4,X5,esk3_0,X1),esk18_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(X1,esk15_6(X2,X3,X4,X5,esk3_0,X1),esk16_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(X3,esk13_6(X2,X3,X4,X5,esk3_0,X1),esk14_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk3_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X2,X4) ),
    inference(spm,[status(thm)],[c_0_18,c_0_8]) ).

cnf(c_0_27,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X5,X6,X2),esk18_6(X1,X3,X4,X5,X6,X2))
    | iext(X3,esk15_6(X1,X3,X4,X5,X6,X2),esk16_6(X1,X3,X4,X5,X6,X2))
    | iext(X5,esk13_6(X1,X3,X4,X5,X6,X2),esk14_6(X1,X3,X4,X5,X6,X2))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X2)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_28,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_19,c_0_10]) ).

fof(c_0_29,plain,
    ! [X131,X132,X133,X134,X135,X136] :
      ( ( ip(X131)
        | ~ iext(uri_owl_propertyDisjointWith,X131,X132) )
      & ( ip(X132)
        | ~ iext(uri_owl_propertyDisjointWith,X131,X132) )
      & ( ~ iext(X131,X133,X134)
        | ~ iext(X132,X133,X134)
        | ~ iext(uri_owl_propertyDisjointWith,X131,X132) )
      & ( iext(X135,esk20_2(X135,X136),esk21_2(X135,X136))
        | ~ ip(X135)
        | ~ ip(X136)
        | iext(uri_owl_propertyDisjointWith,X135,X136) )
      & ( iext(X136,esk20_2(X135,X136),esk21_2(X135,X136))
        | ~ ip(X135)
        | ~ ip(X136)
        | iext(uri_owl_propertyDisjointWith,X135,X136) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_propertydisjointwith])])])])])]) ).

cnf(c_0_30,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_31,plain,
    iext(uri_rdf_rest,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_32,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X5,X6,X2),esk18_6(X1,X3,X4,X5,X6,X2))
    | iext(X3,esk15_6(X1,X3,X4,X5,X6,X2),esk16_6(X1,X3,X4,X5,X6,X2))
    | iext(X3,esk13_6(X1,X3,X4,X5,X6,X2),esk14_6(X1,X3,X4,X5,X6,X2))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X2)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_33,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X2,esk3_0,X5),esk18_6(X1,X3,X4,X2,esk3_0,X5))
    | iext(X3,esk13_6(X1,X3,X4,X2,esk3_0,X5),esk14_6(X1,X3,X4,X2,esk3_0,X5))
    | iext(X5,esk15_6(X1,X3,X4,X2,esk3_0,X5),esk16_6(X1,X3,X4,X2,esk3_0,X5))
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4) ),
    inference(spm,[status(thm)],[c_0_22,c_0_8]) ).

cnf(c_0_34,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_15]) ).

cnf(c_0_35,plain,
    ( iext(X1,esk17_6(X2,X3,X4,X1,esk3_0,X5),esk18_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(X1,esk13_6(X2,X3,X4,X1,esk3_0,X5),esk14_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(X5,esk15_6(X2,X3,X4,X1,esk3_0,X5),esk16_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X2,X4) ),
    inference(spm,[status(thm)],[c_0_24,c_0_8]) ).

cnf(c_0_36,plain,
    ( iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_15]) ).

cnf(c_0_37,plain,
    ( iext(uri_owl_members,esk19_1(X1),X1)
    | iext(X2,esk17_6(X1,X3,X4,X2,X5,X6),esk18_6(X1,X3,X4,X2,X5,X6))
    | iext(X6,esk15_6(X1,X3,X4,X2,X5,X6),esk16_6(X1,X3,X4,X2,X5,X6))
    | iext(X3,esk13_6(X1,X3,X4,X2,X5,X6),esk14_6(X1,X3,X4,X2,X5,X6))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_38,plain,
    ( iext(uri_ex_p3,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_10]) ).

cnf(c_0_39,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X5,esk3_0,X2),esk18_6(X1,X3,X4,X5,esk3_0,X2))
    | iext(X3,esk15_6(X1,X3,X4,X5,esk3_0,X2),esk16_6(X1,X3,X4,X5,esk3_0,X2))
    | iext(X5,esk13_6(X1,X3,X4,X5,esk3_0,X2),esk14_6(X1,X3,X4,X5,esk3_0,X2))
    | ~ iext(uri_rdf_first,esk3_0,X2)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4) ),
    inference(spm,[status(thm)],[c_0_27,c_0_8]) ).

cnf(c_0_40,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_15]) ).

cnf(c_0_41,plain,
    ( ~ iext(X1,X2,X3)
    | ~ iext(X4,X2,X3)
    | ~ iext(uri_owl_propertyDisjointWith,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_p2,uri_ex_p3),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_43,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p3,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_44,plain,
    iext(uri_rdf_first,esk1_0,uri_ex_p1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_45,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X5,esk3_0,X2),esk18_6(X1,X3,X4,X5,esk3_0,X2))
    | iext(X3,esk15_6(X1,X3,X4,X5,esk3_0,X2),esk16_6(X1,X3,X4,X5,esk3_0,X2))
    | iext(X3,esk13_6(X1,X3,X4,X5,esk3_0,X2),esk14_6(X1,X3,X4,X5,esk3_0,X2))
    | ~ iext(uri_rdf_first,esk3_0,X2)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_8]) ).

cnf(c_0_46,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X2,X5,X6),esk18_6(X1,X3,X4,X2,X5,X6))
    | iext(X3,esk15_6(X1,X3,X4,X2,X5,X6),esk16_6(X1,X3,X4,X2,X5,X6))
    | iext(X3,esk13_6(X1,X3,X4,X2,X5,X6),esk14_6(X1,X3,X4,X2,X5,X6))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_47,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_10]) ).

cnf(c_0_48,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_21]) ).

cnf(c_0_49,plain,
    ( iext(uri_owl_members,esk19_1(X1),X1)
    | iext(X2,esk17_6(X1,X3,X4,X5,X6,X2),esk18_6(X1,X3,X4,X5,X6,X2))
    | iext(X3,esk15_6(X1,X3,X4,X5,X6,X2),esk16_6(X1,X3,X4,X5,X6,X2))
    | iext(X5,esk13_6(X1,X3,X4,X5,X6,X2),esk14_6(X1,X3,X4,X5,X6,X2))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X2)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_50,plain,
    ( iext(uri_ex_p3,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_10]) ).

cnf(c_0_51,plain,
    ( iext(uri_ex_p2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_21]) ).

cnf(c_0_52,plain,
    ( iext(uri_owl_members,esk19_1(X1),X1)
    | iext(X2,esk17_6(X1,X3,X4,X5,X6,X2),esk18_6(X1,X3,X4,X5,X6,X2))
    | iext(X3,esk15_6(X1,X3,X4,X5,X6,X2),esk16_6(X1,X3,X4,X5,X6,X2))
    | iext(X3,esk13_6(X1,X3,X4,X5,X6,X2),esk14_6(X1,X3,X4,X5,X6,X2))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X2)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_53,plain,
    ( iext(X1,esk17_6(X2,X3,X4,X1,esk3_0,X5),esk18_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(X3,esk13_6(X2,X3,X4,X1,esk3_0,X5),esk14_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(X5,esk15_6(X2,X3,X4,X1,esk3_0,X5),esk16_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X2,X4) ),
    inference(spm,[status(thm)],[c_0_37,c_0_8]) ).

cnf(c_0_54,plain,
    ( iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_15]) ).

cnf(c_0_55,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X2,X5,X6),esk18_6(X1,X3,X4,X2,X5,X6))
    | iext(X3,esk15_6(X1,X3,X4,X2,X5,X6),esk16_6(X1,X3,X4,X2,X5,X6))
    | iext(X2,esk13_6(X1,X3,X4,X2,X5,X6),esk14_6(X1,X3,X4,X2,X5,X6))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_56,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_10]) ).

cnf(c_0_57,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_21]) ).

cnf(c_0_58,plain,
    ( ~ iext(uri_ex_p3,X1,X2)
    | ~ iext(uri_ex_p2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_59,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_60,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_10]) ).

cnf(c_0_61,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X2,esk3_0,X5),esk18_6(X1,X3,X4,X2,esk3_0,X5))
    | iext(X3,esk15_6(X1,X3,X4,X2,esk3_0,X5),esk16_6(X1,X3,X4,X2,esk3_0,X5))
    | iext(X3,esk13_6(X1,X3,X4,X2,esk3_0,X5),esk14_6(X1,X3,X4,X2,esk3_0,X5))
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4) ),
    inference(spm,[status(thm)],[c_0_46,c_0_8]) ).

cnf(c_0_62,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_15]) ).

cnf(c_0_63,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p3,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_31]) ).

cnf(c_0_64,plain,
    ( iext(X1,esk17_6(X2,X3,X4,X5,esk3_0,X1),esk18_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(X3,esk15_6(X2,X3,X4,X5,esk3_0,X1),esk16_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(X5,esk13_6(X2,X3,X4,X5,esk3_0,X1),esk14_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk3_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X2,X4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_8]) ).

cnf(c_0_65,plain,
    ( iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_15]) ).

cnf(c_0_66,plain,
    ( iext(uri_ex_p3,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_31]) ).

cnf(c_0_67,plain,
    ( iext(X1,esk17_6(X2,X3,X4,X5,esk3_0,X1),esk18_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(X3,esk15_6(X2,X3,X4,X5,esk3_0,X1),esk16_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(X3,esk13_6(X2,X3,X4,X5,esk3_0,X1),esk14_6(X2,X3,X4,X5,esk3_0,X1))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk3_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X2,X4) ),
    inference(spm,[status(thm)],[c_0_52,c_0_8]) ).

cnf(c_0_68,plain,
    ( iext(uri_owl_members,esk19_1(X1),X1)
    | iext(X2,esk17_6(X1,X3,X4,X2,X5,X6),esk18_6(X1,X3,X4,X2,X5,X6))
    | iext(X3,esk15_6(X1,X3,X4,X2,X5,X6),esk16_6(X1,X3,X4,X2,X5,X6))
    | iext(X3,esk13_6(X1,X3,X4,X2,X5,X6),esk14_6(X1,X3,X4,X2,X5,X6))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_69,plain,
    ( iext(uri_ex_p3,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_53,c_0_10]) ).

cnf(c_0_70,plain,
    ( iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_21]) ).

cnf(c_0_71,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,X4,X2,esk3_0,X5),esk18_6(X1,X3,X4,X2,esk3_0,X5))
    | iext(X2,esk13_6(X1,X3,X4,X2,esk3_0,X5),esk14_6(X1,X3,X4,X2,esk3_0,X5))
    | iext(X3,esk15_6(X1,X3,X4,X2,esk3_0,X5),esk16_6(X1,X3,X4,X2,esk3_0,X5))
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4) ),
    inference(spm,[status(thm)],[c_0_55,c_0_8]) ).

cnf(c_0_72,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_15]) ).

cnf(c_0_73,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p3),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_74,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p3,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_31]) ).

cnf(c_0_75,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_76,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_15]) ).

cnf(c_0_77,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_61,c_0_10]) ).

cnf(c_0_78,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p2,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_21]) ).

cnf(c_0_79,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_44]) ).

cnf(c_0_80,plain,
    ( iext(uri_owl_members,esk19_1(X1),X1)
    | iext(X2,esk17_6(X1,X3,X4,X2,X5,X6),esk18_6(X1,X3,X4,X2,X5,X6))
    | iext(X3,esk15_6(X1,X3,X4,X2,X5,X6),esk16_6(X1,X3,X4,X2,X5,X6))
    | iext(X2,esk13_6(X1,X3,X4,X2,X5,X6),esk14_6(X1,X3,X4,X2,X5,X6))
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(uri_rdf_rest,X1,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,X5)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_81,plain,
    ( iext(uri_ex_p3,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_64,c_0_10]) ).

cnf(c_0_82,plain,
    ( iext(uri_ex_p2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_21]) ).

cnf(c_0_83,plain,
    ( iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_44]) ).

cnf(c_0_84,plain,
    ( iext(uri_ex_p3,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_67,c_0_10]) ).

cnf(c_0_85,plain,
    ( iext(X1,esk17_6(X2,X3,X4,X1,esk3_0,X5),esk18_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(X3,esk15_6(X2,X3,X4,X1,esk3_0,X5),esk16_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(X3,esk13_6(X2,X3,X4,X1,esk3_0,X5),esk14_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X2,X4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_8]) ).

cnf(c_0_86,plain,
    ( iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_15]) ).

cnf(c_0_87,plain,
    ( iext(uri_ex_p3,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_31]) ).

cnf(c_0_88,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk15_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk16_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk13_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk14_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk17_6(X1,X2,X3,X4,esk3_0,uri_ex_p3),esk18_6(X1,X2,X3,X4,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,X3) ),
    inference(spm,[status(thm)],[c_0_71,c_0_10]) ).

cnf(c_0_89,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_21]) ).

cnf(c_0_90,plain,
    ( ~ iext(uri_ex_p3,X1,X2)
    | ~ iext(uri_ex_p1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_73]) ).

cnf(c_0_91,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_44]),c_0_75]) ).

cnf(c_0_92,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_21]) ).

cnf(c_0_93,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3),esk18_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3))
    | iext(X3,esk15_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3),esk16_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3))
    | iext(X3,esk13_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3),esk14_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk2_0,X2)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X3) ),
    inference(spm,[status(thm)],[c_0_77,c_0_15]) ).

cnf(c_0_94,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p3,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_31]) ).

cnf(c_0_95,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_79]) ).

cnf(c_0_96,plain,
    ( iext(X1,esk17_6(X2,X3,X4,X1,esk3_0,X5),esk18_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(X1,esk13_6(X2,X3,X4,X1,esk3_0,X5),esk14_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(X3,esk15_6(X2,X3,X4,X1,esk3_0,X5),esk16_6(X2,X3,X4,X1,esk3_0,X5))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk3_0,X5)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X2,X4) ),
    inference(spm,[status(thm)],[c_0_80,c_0_8]) ).

cnf(c_0_97,plain,
    ( iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X3,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_15]) ).

cnf(c_0_98,plain,
    ( iext(uri_ex_p3,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_31]) ).

cnf(c_0_99,plain,
    ( iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_83]) ).

cnf(c_0_100,plain,
    ( iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,X3,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_84,c_0_15]) ).

cnf(c_0_101,plain,
    ( iext(X1,esk13_6(X2,X1,X3,X4,esk3_0,uri_ex_p3),esk14_6(X2,X1,X3,X4,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(X2,X1,X3,X4,esk3_0,uri_ex_p3),esk16_6(X2,X1,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk17_6(X2,X1,X3,X4,esk3_0,uri_ex_p3),esk18_6(X2,X1,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X2,X1)
    | ~ iext(uri_rdf_rest,X2,X3) ),
    inference(spm,[status(thm)],[c_0_85,c_0_10]) ).

cnf(c_0_102,plain,
    ( iext(uri_ex_p2,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_21]) ).

cnf(c_0_103,plain,
    ( iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_44]) ).

cnf(c_0_104,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(X2,esk17_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3),esk18_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3),esk14_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3))
    | iext(X3,esk15_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3),esk16_6(X1,X3,esk2_0,X2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk2_0,X2)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X3) ),
    inference(spm,[status(thm)],[c_0_88,c_0_15]) ).

cnf(c_0_105,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p3,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_31]) ).

cnf(c_0_106,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_ex_p1,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_107,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p3,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_31]) ).

cnf(c_0_108,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p2,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_21]) ).

cnf(c_0_109,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_44]),c_0_95]) ).

cnf(c_0_110,plain,
    ( iext(X1,esk15_6(X2,X1,X3,X4,esk3_0,uri_ex_p3),esk16_6(X2,X1,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk13_6(X2,X1,X3,X4,esk3_0,uri_ex_p3),esk14_6(X2,X1,X3,X4,esk3_0,uri_ex_p3))
    | iext(X4,esk17_6(X2,X1,X3,X4,esk3_0,uri_ex_p3),esk18_6(X2,X1,X3,X4,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X2,X1)
    | ~ iext(uri_rdf_rest,X2,X3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_10]) ).

cnf(c_0_111,plain,
    ( iext(uri_ex_p2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_21]) ).

cnf(c_0_112,plain,
    ( iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_44]),c_0_99]) ).

cnf(c_0_113,plain,
    ( iext(uri_ex_p3,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_21]) ).

cnf(c_0_114,plain,
    ( iext(X1,esk17_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3),esk18_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3))
    | iext(X3,esk15_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3),esk16_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3))
    | iext(X3,esk13_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3),esk14_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk2_0,X1)
    | ~ iext(uri_rdf_rest,X2,esk2_0)
    | ~ iext(uri_rdf_first,X2,X3) ),
    inference(spm,[status(thm)],[c_0_101,c_0_15]) ).

cnf(c_0_115,plain,
    ( iext(uri_ex_p3,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_31]) ).

cnf(c_0_116,plain,
    ( iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_103]) ).

fof(c_0_117,negated_conjecture,
    ~ ? [X37,X42,X43,X38] :
        ( iext(uri_rdf_first,X42,uri_ex_p2)
        & iext(uri_rdf_rest,X42,X37)
        & iext(uri_rdf_first,X37,uri_ex_p3)
        & iext(uri_rdf_rest,X37,uri_rdf_nil)
        & iext(uri_rdf_type,X38,uri_owl_AllDisjointProperties)
        & iext(uri_owl_members,X38,X43)
        & iext(uri_rdf_first,X43,uri_ex_p1)
        & iext(uri_rdf_rest,X43,X42) ),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_ndis_alldisjointproperties_bw]) ).

cnf(c_0_118,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(X1))
    | iext(uri_ex_p2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_104,c_0_21]) ).

cnf(c_0_119,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_44]),c_0_106]) ).

cnf(c_0_120,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p1,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_107,c_0_44]) ).

cnf(c_0_121,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p2,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_31]) ).

cnf(c_0_122,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_ex_p1,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_90,c_0_109]) ).

cnf(c_0_123,plain,
    ( iext(X1,esk17_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3),esk18_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3),esk14_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3))
    | iext(X3,esk15_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3),esk16_6(X2,X3,esk2_0,X1,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X2),X2)
    | ~ iext(uri_rdf_first,esk2_0,X1)
    | ~ iext(uri_rdf_rest,X2,esk2_0)
    | ~ iext(uri_rdf_first,X2,X3) ),
    inference(spm,[status(thm)],[c_0_110,c_0_15]) ).

cnf(c_0_124,plain,
    ( iext(uri_ex_p3,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_31]) ).

cnf(c_0_125,plain,
    ( iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_ex_p1,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_90,c_0_112]) ).

cnf(c_0_126,plain,
    ( iext(uri_ex_p3,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_31]) ).

cnf(c_0_127,plain,
    ( iext(uri_ex_p2,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_21]) ).

cnf(c_0_128,plain,
    ( iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_44]),c_0_116]) ).

fof(c_0_129,negated_conjecture,
    ! [X44,X45,X46,X47] :
      ( ~ iext(uri_rdf_first,X45,uri_ex_p2)
      | ~ iext(uri_rdf_rest,X45,X44)
      | ~ iext(uri_rdf_first,X44,uri_ex_p3)
      | ~ iext(uri_rdf_rest,X44,uri_rdf_nil)
      | ~ iext(uri_rdf_type,X47,uri_owl_AllDisjointProperties)
      | ~ iext(uri_owl_members,X47,X46)
      | ~ iext(uri_rdf_first,X46,uri_ex_p1)
      | ~ iext(uri_rdf_rest,X46,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_117])]) ).

fof(c_0_130,plain,
    ! [X125,X126] :
      ( ( ~ iext(uri_rdf_type,X125,X126)
        | icext(X126,X125) )
      & ( ~ icext(X126,X125)
        | iext(uri_rdf_type,X125,X126) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_131,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_132,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p2,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_118,c_0_31]) ).

cnf(c_0_133,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_119]) ).

cnf(c_0_134,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p1,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | ~ iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_120]) ).

cnf(c_0_135,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_44]),c_0_122]) ).

cnf(c_0_136,plain,
    ( iext(uri_ex_p2,esk13_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X2,esk15_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(X1,X2,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(X1),X1)
    | ~ iext(uri_rdf_rest,X1,esk2_0)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(spm,[status(thm)],[c_0_123,c_0_21]) ).

cnf(c_0_137,plain,
    ( iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_44]),c_0_125]) ).

cnf(c_0_138,plain,
    ( iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p1,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p3,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_44]) ).

cnf(c_0_139,plain,
    ( iext(uri_ex_p2,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_31]) ).

cnf(c_0_140,plain,
    ( iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_ex_p1,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_90,c_0_128]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ iext(uri_rdf_first,X1,uri_ex_p2)
    | ~ iext(uri_rdf_rest,X1,X2)
    | ~ iext(uri_rdf_first,X2,uri_ex_p3)
    | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
    | ~ iext(uri_rdf_type,X3,uri_owl_AllDisjointProperties)
    | ~ iext(uri_owl_members,X3,X4)
    | ~ iext(uri_rdf_first,X4,uri_ex_p1)
    | ~ iext(uri_rdf_rest,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_142,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_143,plain,
    ( ~ iext(uri_ex_p2,X1,X2)
    | ~ iext(uri_ex_p1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_131]) ).

cnf(c_0_144,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_44]),c_0_106]),c_0_133]) ).

cnf(c_0_145,plain,
    ( icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_122]) ).

cnf(c_0_146,plain,
    ( iext(uri_ex_p2,esk17_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk13_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(X1,esk15_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,X1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_rdf_first,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_136,c_0_31]) ).

cnf(c_0_147,plain,
    ( iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_137]) ).

cnf(c_0_148,plain,
    ( iext(uri_ex_p1,esk15_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk16_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0)
    | ~ iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_138]) ).

cnf(c_0_149,plain,
    ( iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_ex_p2,esk17_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk18_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_44]),c_0_140]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ icext(uri_owl_AllDisjointProperties,X1)
    | ~ iext(uri_rdf_first,X2,uri_ex_p1)
    | ~ iext(uri_rdf_first,X3,uri_ex_p3)
    | ~ iext(uri_rdf_first,X4,uri_ex_p2)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,X2,X4)
    | ~ iext(uri_rdf_rest,X4,X3)
    | ~ iext(uri_owl_members,X1,X2) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_151,plain,
    icext(uri_owl_AllDisjointProperties,esk19_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]) ).

cnf(c_0_152,plain,
    ( iext(uri_ex_p2,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_44]),c_0_125]),c_0_147]) ).

cnf(c_0_153,plain,
    ( iext(uri_ex_p1,esk13_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3),esk14_6(esk1_0,uri_ex_p1,esk2_0,uri_ex_p2,esk3_0,uri_ex_p3))
    | iext(uri_owl_members,esk19_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_140]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ iext(uri_owl_members,esk19_1(esk1_0),X1)
    | ~ iext(uri_rdf_first,X1,uri_ex_p1)
    | ~ iext(uri_rdf_first,X2,uri_ex_p3)
    | ~ iext(uri_rdf_first,X3,uri_ex_p2)
    | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,X1,X3)
    | ~ iext(uri_rdf_rest,X3,X2) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_155,plain,
    iext(uri_owl_members,esk19_1(esk1_0),esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_152]),c_0_153]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ iext(uri_rdf_first,X1,uri_ex_p3)
    | ~ iext(uri_rdf_first,X2,uri_ex_p2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,esk1_0,X2)
    | ~ iext(uri_rdf_rest,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_44]),c_0_155])]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ iext(uri_rdf_first,X1,uri_ex_p2)
    | ~ iext(uri_rdf_rest,esk1_0,X1)
    | ~ iext(uri_rdf_rest,X1,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_10]),c_0_8])]) ).

cnf(c_0_158,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_21]),c_0_31]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17  % Problem    : SWB070+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.18  % Command    : run_E %s %d THM
% 0.18/0.39  % Computer : n002.cluster.edu
% 0.18/0.39  % Model    : x86_64 x86_64
% 0.18/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39  % Memory   : 8042.1875MB
% 0.18/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39  % CPULimit   : 2400
% 0.18/0.39  % WCLimit    : 300
% 0.18/0.39  % DateTime   : Mon Oct  2 20:36:14 EDT 2023
% 0.18/0.39  % CPUTime    : 
% 0.25/0.57  Running first-order theorem proving
% 0.25/0.57  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Gx36VsuNiI/E---3.1_25047.p
% 0.71/0.71  # Version: 3.1pre001
% 0.71/0.71  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.71/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.71  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.71/0.71  # Starting new_bool_3 with 600s (2) cores
% 0.71/0.71  # Starting new_bool_1 with 600s (2) cores
% 0.71/0.71  # Starting sh5l with 300s (1) cores
% 0.71/0.71  # new_bool_3 with pid 25130 completed with status 0
% 0.71/0.71  # Result found by new_bool_3
% 0.71/0.71  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.71/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.71  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.71/0.71  # Starting new_bool_3 with 600s (2) cores
% 0.71/0.71  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.71/0.71  # Search class: FGHSF-FSLM33-SFFFFFNN
% 0.71/0.71  # Scheduled 10 strats onto 2 cores with 600 seconds (600 total)
% 0.71/0.71  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 109s (1) cores
% 0.71/0.71  # Starting new_bool_3 with 61s (1) cores
% 0.71/0.71  # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 25133 completed with status 0
% 0.71/0.71  # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 0.71/0.71  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.71/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.71  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.71/0.71  # Starting new_bool_3 with 600s (2) cores
% 0.71/0.71  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.71/0.71  # Search class: FGHSF-FSLM33-SFFFFFNN
% 0.71/0.71  # Scheduled 10 strats onto 2 cores with 600 seconds (600 total)
% 0.71/0.71  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 109s (1) cores
% 0.71/0.71  # Preprocessing time       : 0.005 s
% 0.71/0.71  # Presaturation interreduction done
% 0.71/0.71  
% 0.71/0.71  # Proof found!
% 0.71/0.71  # SZS status Theorem
% 0.71/0.71  # SZS output start CNFRefutation
% See solution above
% 0.71/0.71  # Parsed axioms                        : 560
% 0.71/0.71  # Removed by relevancy pruning/SinE    : 505
% 0.71/0.71  # Initial clauses                      : 112
% 0.71/0.71  # Removed in clause preprocessing      : 0
% 0.71/0.71  # Initial clauses in saturation        : 112
% 0.71/0.71  # Processed clauses                    : 910
% 0.71/0.71  # ...of these trivial                  : 39
% 0.71/0.71  # ...subsumed                          : 100
% 0.71/0.71  # ...remaining for further processing  : 771
% 0.71/0.71  # Other redundant clauses eliminated   : 4
% 0.71/0.71  # Clauses deleted for lack of memory   : 0
% 0.71/0.71  # Backward-subsumed                    : 47
% 0.71/0.71  # Backward-rewritten                   : 51
% 0.71/0.71  # Generated clauses                    : 818
% 0.71/0.71  # ...of the previous two non-redundant : 713
% 0.71/0.71  # ...aggressively subsumed             : 0
% 0.71/0.71  # Contextual simplify-reflections      : 100
% 0.71/0.71  # Paramodulations                      : 783
% 0.71/0.71  # Factorizations                       : 0
% 0.71/0.71  # NegExts                              : 0
% 0.71/0.71  # Equation resolutions                 : 4
% 0.71/0.71  # Total rewrite steps                  : 293
% 0.71/0.71  # Propositional unsat checks           : 0
% 0.71/0.71  #    Propositional check models        : 0
% 0.71/0.71  #    Propositional check unsatisfiable : 0
% 0.71/0.71  #    Propositional clauses             : 0
% 0.71/0.71  #    Propositional clauses after purity: 0
% 0.71/0.71  #    Propositional unsat core size     : 0
% 0.71/0.71  #    Propositional preprocessing time  : 0.000
% 0.71/0.71  #    Propositional encoding time       : 0.000
% 0.71/0.71  #    Propositional solver time         : 0.000
% 0.71/0.71  #    Success case prop preproc time    : 0.000
% 0.71/0.71  #    Success case prop encoding time   : 0.000
% 0.71/0.71  #    Success case prop solver time     : 0.000
% 0.71/0.71  # Current number of processed clauses  : 565
% 0.71/0.71  #    Positive orientable unit clauses  : 63
% 0.71/0.71  #    Positive unorientable unit clauses: 0
% 0.71/0.71  #    Negative unit clauses             : 8
% 0.71/0.71  #    Non-unit-clauses                  : 494
% 0.71/0.71  # Current number of unprocessed clauses: 4
% 0.71/0.71  # ...number of literals in the above   : 33
% 0.71/0.71  # Current number of archived formulas  : 0
% 0.71/0.71  # Current number of archived clauses   : 189
% 0.71/0.71  # Clause-clause subsumption calls (NU) : 103830
% 0.71/0.71  # Rec. Clause-clause subsumption calls : 9310
% 0.71/0.71  # Non-unit clause-clause subsumptions  : 249
% 0.71/0.71  # Unit Clause-clause subsumption calls : 2221
% 0.71/0.71  # Rewrite failures with RHS unbound    : 0
% 0.71/0.71  # BW rewrite match attempts            : 33
% 0.71/0.71  # BW rewrite match successes           : 13
% 0.71/0.71  # Condensation attempts                : 0
% 0.71/0.71  # Condensation successes               : 0
% 0.71/0.71  # Termbank termtop insertions          : 44651
% 0.71/0.71  
% 0.71/0.71  # -------------------------------------------------
% 0.71/0.71  # User time                : 0.111 s
% 0.71/0.71  # System time              : 0.007 s
% 0.71/0.71  # Total time               : 0.119 s
% 0.71/0.71  # Maximum resident set size: 2960 pages
% 0.71/0.71  
% 0.71/0.71  # -------------------------------------------------
% 0.71/0.71  # User time                : 0.231 s
% 0.71/0.71  # System time              : 0.013 s
% 0.71/0.71  # Total time               : 0.244 s
% 0.71/0.71  # Maximum resident set size: 2272 pages
% 0.71/0.71  % E---3.1 exiting
% 0.71/0.72  % E---3.1 exiting
%------------------------------------------------------------------------------