TSTP Solution File: KRS095+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS095+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 13:27:06 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :   25 (   3 avg)
%            Number of connectives :   54 (  23   ~;  25   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-5 aty)
%            Number of variables   :   12 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
    cunsatisfiable(i2003_11_14_17_20_14253),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS095+1.tptp',unknown),
    [] ).

cnf(151769880,plain,
    cunsatisfiable(i2003_11_14_17_20_14253),
    inference(rewrite,[status(thm)],[axiom_4]),
    [] ).

fof(axiom_2,plain,
    ! [A,D,E,F,G] :
      ( ( ~ rr(A,D)
        | ~ rr(A,E)
        | $equal(E,D)
        | ~ cunsatisfiable(A) )
      & ( rr(A,y0_nn_3(A))
        | ~ cunsatisfiable(A) )
      & ( rr(A,y1_nn_6(A))
        | ~ cunsatisfiable(A) )
      & ( ~ $equal(y1_nn_6(A),y0_nn_3(A))
        | ~ cunsatisfiable(A) )
      & ( rr(A,y0(A,D,E,F,G))
        | ~ rr(A,F)
        | ~ rr(A,G)
        | $equal(G,F)
        | cunsatisfiable(A) )
      & ( rr(A,y1(A,D,E,F,G))
        | ~ rr(A,F)
        | ~ rr(A,G)
        | $equal(G,F)
        | cunsatisfiable(A) )
      & ( ~ $equal(y1(A,D,E,F,G),y0(A,D,E,F,G))
        | ~ rr(A,F)
        | ~ rr(A,G)
        | $equal(G,F)
        | cunsatisfiable(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS095+1.tptp',unknown),
    [] ).

cnf(151754240,plain,
    ( ~ rr(A,D)
    | ~ rr(A,E)
    | $equal(E,D)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(151744552,plain,
    ( rr(A,y0_nn_3(A))
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(156979328,plain,
    rr(i2003_11_14_17_20_14253,y0_nn_3(i2003_11_14_17_20_14253)),
    inference(resolution,[status(thm)],[151744552,151769880]),
    [] ).

cnf(157103744,plain,
    ( ~ rr(i2003_11_14_17_20_14253,C)
    | $equal(C,y0_nn_3(i2003_11_14_17_20_14253)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151769880,151754240,156979328]),
    [] ).

cnf(151532056,plain,
    ( rr(A,y1_nn_6(A))
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(156966224,plain,
    rr(i2003_11_14_17_20_14253,y1_nn_6(i2003_11_14_17_20_14253)),
    inference(resolution,[status(thm)],[151532056,151769880]),
    [] ).

cnf(157135552,plain,
    $equal(y1_nn_6(i2003_11_14_17_20_14253),y0_nn_3(i2003_11_14_17_20_14253)),
    inference(resolution,[status(thm)],[157103744,156966224]),
    [] ).

cnf(151728496,plain,
    ( ~ $equal(y1_nn_6(A),y0_nn_3(A))
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(157013328,plain,
    ~ $equal(y1_nn_6(i2003_11_14_17_20_14253),y0_nn_3(i2003_11_14_17_20_14253)),
    inference(resolution,[status(thm)],[151728496,151769880]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[157135552,157013328]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(cunsatisfiable(i2003_11_14_17_20_14253)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS095+1.tptp',unknown),[]).
% 
% cnf(151769880,plain,(cunsatisfiable(i2003_11_14_17_20_14253)),inference(rewrite,[status(thm)],[axiom_4]),[]).
% 
% fof(axiom_2,plain,(((~rr(A,D)|~rr(A,E)|$equal(E,D)|~cunsatisfiable(A))&(rr(A,y0_nn_3(A))|~cunsatisfiable(A))&(rr(A,y1_nn_6(A))|~cunsatisfiable(A))&(~$equal(y1_nn_6(A),y0_nn_3(A))|~cunsatisfiable(A))&(rr(A,y0(A,D,E,F,G))|~rr(A,F)|~rr(A,G)|$equal(G,F)|cunsatisfiable(A))&(rr(A,y1(A,D,E,F,G))|~rr(A,F)|~rr(A,G)|$equal(G,F)|cunsatisfiable(A))&(~$equal(y1(A,D,E,F,G),y0(A,D,E,F,G))|~rr(A,F)|~rr(A,G)|$equal(G,F)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS095+1.tptp',unknown),[]).
% 
% cnf(151754240,plain,(~rr(A,D)|~rr(A,E)|$equal(E,D)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(151744552,plain,(rr(A,y0_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(156979328,plain,(rr(i2003_11_14_17_20_14253,y0_nn_3(i2003_11_14_17_20_14253))),inference(resolution,[status(thm)],[151744552,151769880]),[]).
% 
% cnf(157103744,plain,(~rr(i2003_11_14_17_20_14253,C)|$equal(C,y0_nn_3(i2003_11_14_17_20_14253))),inference(forward_subsumption_resolution__resolution,[status(thm)],[151769880,151754240,156979328]),[]).
% 
% cnf(151532056,plain,(rr(A,y1_nn_6(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(156966224,plain,(rr(i2003_11_14_17_20_14253,y1_nn_6(i2003_11_14_17_20_14253))),inference(resolution,[status(thm)],[151532056,151769880]),[]).
% 
% cnf(157135552,plain,($equal(y1_nn_6(i2003_11_14_17_20_14253),y0_nn_3(i2003_11_14_17_20_14253))),inference(resolution,[status(thm)],[157103744,156966224]),[]).
% 
% cnf(151728496,plain,(~$equal(y1_nn_6(A),y0_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(157013328,plain,(~$equal(y1_nn_6(i2003_11_14_17_20_14253),y0_nn_3(i2003_11_14_17_20_14253))),inference(resolution,[status(thm)],[151728496,151769880]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[157135552,157013328]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------