%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS012-1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 13:24:44 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   13 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_13,plain,
    ! [A] :
      ( f(A)
      | r(A,u1r1(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),
    [] ).

cnf(162523064,plain,
    ( f(A)
    | r(A,u1r1(A)) ),
    inference(rewrite,[status(thm)],[clause_13]),
    [] ).

fof(clause_2,plain,
    ~ f(exists),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),
    [] ).

cnf(162425360,plain,
    ~ f(exists),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(172992504,plain,
    r(exists,u1r1(exists)),
    inference(resolution,[status(thm)],[162523064,162425360]),
    [] ).

fof(clause_4,plain,
    ! [A,B] :
      ( d(A)
      | ~ c(B)
      | ~ r(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),
    [] ).

cnf(162457168,plain,
    ( d(A)
    | ~ c(B)
    | ~ r(B,A) ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

fof(clause_3,plain,
    ! [A,B] :
      ( e(A)
      | ~ c(B)
      | ~ r(B,A)
      | ~ d(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),
    [] ).

cnf(162448576,plain,
    ( e(A)
    | ~ c(B)
    | ~ r(B,A)
    | ~ d(A) ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

fof(clause_12,plain,
    ! [A] :
      ( f(A)
      | ~ e(u1r1(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),
    [] ).

cnf(162518216,plain,
    ( f(A)
    | ~ e(u1r1(A)) ),
    inference(rewrite,[status(thm)],[clause_12]),
    [] ).

cnf(172982056,plain,
    ~ e(u1r1(exists)),
    inference(resolution,[status(thm)],[162518216,162425360]),
    [] ).

cnf(173018480,plain,
    ( ~ c(A)
    | ~ r(A,u1r1(exists)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162457168,162448576,172982056]),
    [] ).

fof(clause_1,plain,
    c(exists),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),
    [] ).

cnf(162420464,plain,
    c(exists),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172992504,173018480,162420464]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_13,plain,(f(A)|r(A,u1r1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),[]).
% 
% cnf(162523064,plain,(f(A)|r(A,u1r1(A))),inference(rewrite,[status(thm)],[clause_13]),[]).
% 
% fof(clause_2,plain,(~f(exists)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),[]).
% 
% cnf(162425360,plain,(~f(exists)),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(172992504,plain,(r(exists,u1r1(exists))),inference(resolution,[status(thm)],[162523064,162425360]),[]).
% 
% fof(clause_4,plain,(d(A)|~c(B)|~r(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),[]).
% 
% cnf(162457168,plain,(d(A)|~c(B)|~r(B,A)),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% fof(clause_3,plain,(e(A)|~c(B)|~r(B,A)|~d(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),[]).
% 
% cnf(162448576,plain,(e(A)|~c(B)|~r(B,A)|~d(A)),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% fof(clause_12,plain,(f(A)|~e(u1r1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),[]).
% 
% cnf(162518216,plain,(f(A)|~e(u1r1(A))),inference(rewrite,[status(thm)],[clause_12]),[]).
% 
% cnf(172982056,plain,(~e(u1r1(exists))),inference(resolution,[status(thm)],[162518216,162425360]),[]).
% 
% cnf(173018480,plain,(~c(A)|~r(A,u1r1(exists))),inference(forward_subsumption_resolution__resolution,[status(thm)],[162457168,162448576,172982056]),[]).
% 
% fof(clause_1,plain,(c(exists)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS012-1.tptp',unknown),[]).
% 
% cnf(162420464,plain,(c(exists)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[172992504,173018480,162420464]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------