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Faust---1.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS166+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 13:30:34 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   8 unt;   0 def)
%            Number of atoms       :  150 (   0 equ)
%            Maximal formula atoms :   96 (   5 avg)
%            Number of connectives :  188 (  65   ~; 106   |;  17   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   10 (   2 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(the_axiom,plain,
    ( ( cautomobile(x)
      | ~ cautomobile(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ ccar(x)
      | ~ cautomobile(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cautomobile(x)
      | ccar(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ ccar(x)
      | ccar(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cautomobile(x)
      | ~ cautomobile(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ ccar(x)
      | ~ cautomobile(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cautomobile(x)
      | ccar(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ ccar(x)
      | ccar(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cautomobile(x)
      | ~ cautomobile(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ ccar(x)
      | ~ cautomobile(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cautomobile(x)
      | ccar(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ ccar(x)
      | ccar(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cautomobile(x)
      | ~ cautomobile(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ ccar(x)
      | ~ cautomobile(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cautomobile(x)
      | ccar(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ ccar(x)
      | ccar(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/KRS166+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/KRS166+1.tptp',unknown),
    [] ).

cnf(142238856,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/KRS166+1.tptp',unknown),
    [] ).

cnf(142232392,plain,
    cowlthing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(142518944,plain,
    ( cautomobile(x)
    | ccar(x)
    | xsd_string(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,142238856,142232392]),
    [] ).

cnf(142533304,plain,
    ( cautomobile(x)
    | ccar(x)
    | xsd_integer(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,142518944,142232392]),
    [] ).

cnf(142223320,plain,
    ~ cowlnothing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(158248184,plain,
    ( cautomobile(x)
    | ccar(x)
    | xsd_integer(x_nn_1) ),
    inference(resolution,[status(thm)],[142533304,142223320]),
    [] ).

fof(axiom_2,plain,
    ! [A] :
      ( ~ cautomobile(A)
      | ccar(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS166+1.tptp',unknown),
    [] ).

cnf(142251536,plain,
    ( ~ cautomobile(A)
    | ccar(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(142526640,plain,
    ( ~ cautomobile(x)
    | xsd_string(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,142251536,142238856,142232392]),
    [] ).

cnf(142539816,plain,
    ( ~ cautomobile(x)
    | xsd_integer(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,142526640,142251536,142232392]),
    [] ).

cnf(158239080,plain,
    ( ~ cautomobile(x)
    | xsd_integer(x_nn_1) ),
    inference(resolution,[status(thm)],[142539816,142223320]),
    [] ).

cnf(158234488,plain,
    ( ~ cautomobile(x)
    | xsd_string(x_nn_1) ),
    inference(resolution,[status(thm)],[142526640,142223320]),
    [] ).

cnf(142245384,plain,
    ( ~ xsd_string(A)
    | ~ xsd_integer(A) ),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

cnf(158273320,plain,
    ~ cautomobile(x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[158239080,158234488,142245384]),
    [] ).

cnf(158317104,plain,
    ( ccar(x)
    | xsd_integer(x_nn_1) ),
    inference(resolution,[status(thm)],[158248184,158273320]),
    [] ).

fof(axiom_3,plain,
    ! [A] :
      ( ~ ccar(A)
      | cautomobile(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS166+1.tptp',unknown),
    [] ).

cnf(142258088,plain,
    ( ~ ccar(A)
    | cautomobile(A) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(158277888,plain,
    ~ ccar(x),
    inference(resolution,[status(thm)],[158273320,142258088]),
    [] ).

cnf(158327184,plain,
    xsd_integer(x_nn_1),
    inference(resolution,[status(thm)],[158317104,158277888]),
    [] ).

cnf(158243672,plain,
    ( cautomobile(x)
    | ccar(x)
    | xsd_string(x_nn_1) ),
    inference(resolution,[status(thm)],[142518944,142223320]),
    [] ).

cnf(158287344,plain,
    ( ccar(x)
    | xsd_string(x_nn_1) ),
    inference(resolution,[status(thm)],[158243672,158273320]),
    [] ).

cnf(158291920,plain,
    xsd_string(x_nn_1),
    inference(resolution,[status(thm)],[158287344,158277888]),
    [] ).

cnf(158303480,plain,
    ~ xsd_integer(x_nn_1),
    inference(resolution,[status(thm)],[158291920,142245384]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[158327184,158303480]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(the_axiom,plain,(((cautomobile(x)|~cautomobile(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ccar(x)|~cautomobile(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cautomobile(x)|ccar(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ccar(x)|ccar(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cautomobile(x)|~cautomobile(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ccar(x)|~cautomobile(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cautomobile(x)|ccar(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ccar(x)|ccar(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cautomobile(x)|~cautomobile(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ccar(x)|~cautomobile(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cautomobile(x)|ccar(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ccar(x)|ccar(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cautomobile(x)|~cautomobile(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ccar(x)|~cautomobile(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cautomobile(x)|ccar(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~ccar(x)|ccar(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/KRS166+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/KRS166+1.tptp',unknown),[]).
% 
% cnf(142238856,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/KRS166+1.tptp',unknown),[]).
% 
% cnf(142232392,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(142518944,plain,(cautomobile(x)|ccar(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,142238856,142232392]),[]).
% 
% cnf(142533304,plain,(cautomobile(x)|ccar(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,142518944,142232392]),[]).
% 
% cnf(142223320,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(158248184,plain,(cautomobile(x)|ccar(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[142533304,142223320]),[]).
% 
% fof(axiom_2,plain,(~cautomobile(A)|ccar(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS166+1.tptp',unknown),[]).
% 
% cnf(142251536,plain,(~cautomobile(A)|ccar(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(142526640,plain,(~cautomobile(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,142251536,142238856,142232392]),[]).
% 
% cnf(142539816,plain,(~cautomobile(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,142526640,142251536,142232392]),[]).
% 
% cnf(158239080,plain,(~cautomobile(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[142539816,142223320]),[]).
% 
% cnf(158234488,plain,(~cautomobile(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[142526640,142223320]),[]).
% 
% cnf(142245384,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% cnf(158273320,plain,(~cautomobile(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158239080,158234488,142245384]),[]).
% 
% cnf(158317104,plain,(ccar(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[158248184,158273320]),[]).
% 
% fof(axiom_3,plain,(~ccar(A)|cautomobile(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS166+1.tptp',unknown),[]).
% 
% cnf(142258088,plain,(~ccar(A)|cautomobile(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(158277888,plain,(~ccar(x)),inference(resolution,[status(thm)],[158273320,142258088]),[]).
% 
% cnf(158327184,plain,(xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[158317104,158277888]),[]).
% 
% cnf(158243672,plain,(cautomobile(x)|ccar(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[142518944,142223320]),[]).
% 
% cnf(158287344,plain,(ccar(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[158243672,158273320]),[]).
% 
% cnf(158291920,plain,(xsd_string(x_nn_1)),inference(resolution,[status(thm)],[158287344,158277888]),[]).
% 
% cnf(158303480,plain,(~xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[158291920,142245384]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[158327184,158303480]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------