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Faust---1.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS130+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:28:35 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :  139 (   0 equ)
%            Maximal formula atoms :   96 (   6 avg)
%            Number of connectives :  179 (  62   ~; 100   |;  17   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   13 (   4 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(the_axiom,plain,
    ( ( cowlnothing(x)
      | ~ cowlnothing(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ cnothing(x)
      | ~ cowlnothing(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cowlnothing(x)
      | cnothing(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ cnothing(x)
      | cnothing(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cowlnothing(x)
      | ~ cowlnothing(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ cnothing(x)
      | ~ cowlnothing(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cowlnothing(x)
      | cnothing(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ cnothing(x)
      | cnothing(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cowlnothing(x)
      | ~ cowlnothing(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ cnothing(x)
      | ~ cowlnothing(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cowlnothing(x)
      | cnothing(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ cnothing(x)
      | cnothing(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cowlnothing(x)
      | ~ cowlnothing(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ cnothing(x)
      | ~ cowlnothing(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cowlnothing(x)
      | cnothing(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ cnothing(x)
      | cnothing(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),
    [] ).

fof(axiom_1,plain,
    ! [A] :
      ( ( ~ xsd_string(A)
        | ~ xsd_integer(A) )
      & ( xsd_string(A)
        | xsd_integer(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),
    [] ).

cnf(145418520,plain,
    ( xsd_string(A)
    | xsd_integer(A) ),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

fof(axiom_0,plain,
    ! [A] :
      ( cowlthing(A)
      & ~ cowlnothing(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),
    [] ).

cnf(145411992,plain,
    cowlthing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(145697160,plain,
    ( cowlnothing(x)
    | cnothing(x)
    | xsd_string(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,145418520,145411992]),
    [] ).

cnf(145704288,plain,
    ( cowlnothing(x)
    | cnothing(x)
    | xsd_integer(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,145697160,145411992]),
    [] ).

cnf(145402888,plain,
    ~ cowlnothing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(156153456,plain,
    ( cnothing(x)
    | xsd_integer(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(resolution,[status(thm)],[145704288,145402888]),
    [] ).

cnf(156203800,plain,
    ( cnothing(x)
    | xsd_integer(x_nn_1) ),
    inference(resolution,[status(thm)],[156153456,145402888]),
    [] ).

fof(axiom_3,plain,
    ! [A] :
      ( ~ cnothing(A)
      | rp(A,y0(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),
    [] ).

cnf(145440424,plain,
    ( ~ cnothing(A)
    | rp(A,y0(A)) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

fof(axiom_2,plain,
    ! [A,B] :
      ( ~ cnothing(A)
      | ~ rp(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),
    [] ).

cnf(145431328,plain,
    ( ~ cnothing(A)
    | ~ rp(A,B) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(156166136,plain,
    ~ cnothing(A),
    inference(resolution,[status(thm)],[145440424,145431328]),
    [] ).

cnf(156209032,plain,
    xsd_integer(x_nn_1),
    inference(resolution,[status(thm)],[156203800,156166136]),
    [] ).

cnf(156138672,plain,
    ( cnothing(x)
    | xsd_string(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(resolution,[status(thm)],[145697160,145402888]),
    [] ).

cnf(156175584,plain,
    ( cnothing(x)
    | xsd_string(x_nn_1) ),
    inference(resolution,[status(thm)],[156138672,145402888]),
    [] ).

cnf(156184288,plain,
    xsd_string(x_nn_1),
    inference(resolution,[status(thm)],[156175584,156166136]),
    [] ).

cnf(145425112,plain,
    ( ~ xsd_string(A)
    | ~ xsd_integer(A) ),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

cnf(156195912,plain,
    ~ xsd_integer(x_nn_1),
    inference(resolution,[status(thm)],[156184288,145425112]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[156209032,156195912]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(the_axiom,plain,(((cowlnothing(x)|~cowlnothing(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~cnothing(x)|~cowlnothing(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cowlnothing(x)|cnothing(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~cnothing(x)|cnothing(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cowlnothing(x)|~cowlnothing(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~cnothing(x)|~cowlnothing(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cowlnothing(x)|cnothing(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~cnothing(x)|cnothing(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cowlnothing(x)|~cowlnothing(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~cnothing(x)|~cowlnothing(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cowlnothing(x)|cnothing(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~cnothing(x)|cnothing(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cowlnothing(x)|~cowlnothing(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~cnothing(x)|~cowlnothing(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cowlnothing(x)|cnothing(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~cnothing(x)|cnothing(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),[]).
% 
% fof(axiom_1,plain,(((~xsd_string(A)|~xsd_integer(A))&(xsd_string(A)|xsd_integer(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),[]).
% 
% cnf(145418520,plain,(xsd_string(A)|xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),[]).
% 
% cnf(145411992,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(145697160,plain,(cowlnothing(x)|cnothing(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,145418520,145411992]),[]).
% 
% cnf(145704288,plain,(cowlnothing(x)|cnothing(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,145697160,145411992]),[]).
% 
% cnf(145402888,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(156153456,plain,(cnothing(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(resolution,[status(thm)],[145704288,145402888]),[]).
% 
% cnf(156203800,plain,(cnothing(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[156153456,145402888]),[]).
% 
% fof(axiom_3,plain,(~cnothing(A)|rp(A,y0(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),[]).
% 
% cnf(145440424,plain,(~cnothing(A)|rp(A,y0(A))),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% fof(axiom_2,plain,(~cnothing(A)|~rp(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS130+1.tptp',unknown),[]).
% 
% cnf(145431328,plain,(~cnothing(A)|~rp(A,B)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(156166136,plain,(~cnothing(A)),inference(resolution,[status(thm)],[145440424,145431328]),[]).
% 
% cnf(156209032,plain,(xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[156203800,156166136]),[]).
% 
% cnf(156138672,plain,(cnothing(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(resolution,[status(thm)],[145697160,145402888]),[]).
% 
% cnf(156175584,plain,(cnothing(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[156138672,145402888]),[]).
% 
% cnf(156184288,plain,(xsd_string(x_nn_1)),inference(resolution,[status(thm)],[156175584,156166136]),[]).
% 
% cnf(145425112,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% cnf(156195912,plain,(~xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[156184288,145425112]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[156209032,156195912]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------