%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS068+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:25:58 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  14   ~;  13   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
    ! [A,B] :
      ( ~ cc(A)
      | ~ rr(A,B)
      | cc(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),
    [] ).

cnf(168004832,plain,
    ( ~ cc(A)
    | ~ rr(A,B)
    | cc(B) ),
    inference(rewrite,[status(thm)],[axiom_4]),
    [] ).

fof(axiom_2,plain,
    ! [A] :
      ( ~ cunsatisfiable(A)
      | cc(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),
    [] ).

cnf(167987224,plain,
    ( ~ cunsatisfiable(A)
    | cc(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

fof(axiom_5,plain,
    cunsatisfiable(i2003_11_14_17_18_23845),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),
    [] ).

cnf(168009784,plain,
    cunsatisfiable(i2003_11_14_17_18_23845),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

cnf(173201136,plain,
    cc(i2003_11_14_17_18_23845),
    inference(resolution,[status(thm)],[167987224,168009784]),
    [] ).

cnf(173236296,plain,
    ( ~ rr(i2003_11_14_17_18_23845,A)
    | cc(A) ),
    inference(resolution,[status(thm)],[168004832,173201136]),
    [] ).

fof(axiom_6,plain,
    ! [A] :
      ( ( rr(A,y(A))
        | cd(A) )
      & ( ~ cc(y(A))
        | cd(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),
    [] ).

cnf(167955968,plain,
    ( rr(A,y(A))
    | cd(A) ),
    inference(rewrite,[status(thm)],[axiom_6]),
    [] ).

fof(axiom_3,plain,
    ! [A] :
      ( ~ cunsatisfiable(A)
      | ~ cd(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),
    [] ).

cnf(167996432,plain,
    ( ~ cunsatisfiable(A)
    | ~ cd(A) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(173214200,plain,
    ~ cd(i2003_11_14_17_18_23845),
    inference(resolution,[status(thm)],[167996432,168009784]),
    [] ).

cnf(173249320,plain,
    rr(i2003_11_14_17_18_23845,y(i2003_11_14_17_18_23845)),
    inference(resolution,[status(thm)],[167955968,173214200]),
    [] ).

cnf(173258344,plain,
    cc(y(i2003_11_14_17_18_23845)),
    inference(resolution,[status(thm)],[173236296,173249320]),
    [] ).

cnf(168019752,plain,
    ( ~ cc(y(A))
    | cd(A) ),
    inference(rewrite,[status(thm)],[axiom_6]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173258344,168019752,173214200]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(~cc(A)|~rr(A,B)|cc(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),[]).
% 
% cnf(168004832,plain,(~cc(A)|~rr(A,B)|cc(B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
% 
% fof(axiom_2,plain,(~cunsatisfiable(A)|cc(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),[]).
% 
% cnf(167987224,plain,(~cunsatisfiable(A)|cc(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% fof(axiom_5,plain,(cunsatisfiable(i2003_11_14_17_18_23845)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),[]).
% 
% cnf(168009784,plain,(cunsatisfiable(i2003_11_14_17_18_23845)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% cnf(173201136,plain,(cc(i2003_11_14_17_18_23845)),inference(resolution,[status(thm)],[167987224,168009784]),[]).
% 
% cnf(173236296,plain,(~rr(i2003_11_14_17_18_23845,A)|cc(A)),inference(resolution,[status(thm)],[168004832,173201136]),[]).
% 
% fof(axiom_6,plain,(((rr(A,y(A))|cd(A))&(~cc(y(A))|cd(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),[]).
% 
% cnf(167955968,plain,(rr(A,y(A))|cd(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
% 
% fof(axiom_3,plain,(~cunsatisfiable(A)|~cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS068+1.tptp',unknown),[]).
% 
% cnf(167996432,plain,(~cunsatisfiable(A)|~cd(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(173214200,plain,(~cd(i2003_11_14_17_18_23845)),inference(resolution,[status(thm)],[167996432,168009784]),[]).
% 
% cnf(173249320,plain,(rr(i2003_11_14_17_18_23845,y(i2003_11_14_17_18_23845))),inference(resolution,[status(thm)],[167955968,173214200]),[]).
% 
% cnf(173258344,plain,(cc(y(i2003_11_14_17_18_23845))),inference(resolution,[status(thm)],[173236296,173249320]),[]).
% 
% cnf(168019752,plain,(~cc(y(A))|cd(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173258344,168019752,173214200]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------