TSTP Solution File: KRS092+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS092+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 13:26:59 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :   46 (  21   ~;  20   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-3 aty)
%            Number of variables   :   10 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_8,plain,
    cunsatisfiable(i2003_11_14_17_20_04172),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS092+1.tptp',unknown),
    [] ).

cnf(165929216,plain,
    cunsatisfiable(i2003_11_14_17_20_04172),
    inference(rewrite,[status(thm)],[axiom_8]),
    [] ).

fof(axiom_2,plain,
    ! [C,A,D] :
      ( ( cc(C)
        | ~ rr(A,C)
        | ~ cunsatisfiable(A) )
      & ( cd(C)
        | ~ rr(A,C)
        | ~ cunsatisfiable(A) )
      & ( rr(A,y_nn_3(A))
        | ~ cunsatisfiable(A) )
      & ( cowlthing(y_nn_3(A))
        | ~ cunsatisfiable(A) )
      & ( rr(A,y(A,C,D))
        | ~ rr(A,D)
        | ~ cowlthing(D)
        | cunsatisfiable(A) )
      & ( ~ cd(y(A,C,D))
        | ~ cc(y(A,C,D))
        | ~ rr(A,D)
        | ~ cowlthing(D)
        | cunsatisfiable(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS092+1.tptp',unknown),
    [] ).

cnf(165883848,plain,
    ( cc(C)
    | ~ rr(A,C)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(165866824,plain,
    ( rr(A,y_nn_3(A))
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(171141752,plain,
    rr(i2003_11_14_17_20_04172,y_nn_3(i2003_11_14_17_20_04172)),
    inference(resolution,[status(thm)],[165866824,165929216]),
    [] ).

cnf(171183336,plain,
    cc(y_nn_3(i2003_11_14_17_20_04172)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[165929216,165883848,171141752]),
    [] ).

fof(axiom_3,plain,
    ! [A] :
      ( ~ cc(A)
      | ~ cd(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS092+1.tptp',unknown),
    [] ).

cnf(165895008,plain,
    ( ~ cc(A)
    | ~ cd(A) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(165875296,plain,
    ( cd(C)
    | ~ rr(A,C)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(171174288,plain,
    cd(y_nn_3(i2003_11_14_17_20_04172)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[165929216,165875296,171141752]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171183336,165895008,171174288]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_8,plain,(cunsatisfiable(i2003_11_14_17_20_04172)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS092+1.tptp',unknown),[]).
% 
% cnf(165929216,plain,(cunsatisfiable(i2003_11_14_17_20_04172)),inference(rewrite,[status(thm)],[axiom_8]),[]).
% 
% fof(axiom_2,plain,(((cc(C)|~rr(A,C)|~cunsatisfiable(A))&(cd(C)|~rr(A,C)|~cunsatisfiable(A))&(rr(A,y_nn_3(A))|~cunsatisfiable(A))&(cowlthing(y_nn_3(A))|~cunsatisfiable(A))&(rr(A,y(A,C,D))|~rr(A,D)|~cowlthing(D)|cunsatisfiable(A))&(~cd(y(A,C,D))|~cc(y(A,C,D))|~rr(A,D)|~cowlthing(D)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS092+1.tptp',unknown),[]).
% 
% cnf(165883848,plain,(cc(C)|~rr(A,C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(165866824,plain,(rr(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(171141752,plain,(rr(i2003_11_14_17_20_04172,y_nn_3(i2003_11_14_17_20_04172))),inference(resolution,[status(thm)],[165866824,165929216]),[]).
% 
% cnf(171183336,plain,(cc(y_nn_3(i2003_11_14_17_20_04172))),inference(forward_subsumption_resolution__resolution,[status(thm)],[165929216,165883848,171141752]),[]).
% 
% fof(axiom_3,plain,(~cc(A)|~cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS092+1.tptp',unknown),[]).
% 
% cnf(165895008,plain,(~cc(A)|~cd(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(165875296,plain,(cd(C)|~rr(A,C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(171174288,plain,(cd(y_nn_3(i2003_11_14_17_20_04172))),inference(forward_subsumption_resolution__resolution,[status(thm)],[165929216,165875296,171141752]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[171183336,165895008,171174288]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------