TSTP Solution File: KRS074+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS074+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 13:26:13 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives :   49 (  22   ~;  21   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-4 aty)
%            Number of variables   :    9 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_2,plain,
    ! [A,D,E,F] :
      ( ( ~ rs(A,D)
        | ~ cp(D)
        | ~ cunsatisfiable(A) )
      & ( rs(A,y_nn_3(A))
        | ~ cunsatisfiable(A) )
      & ( cp(y_nn_3(A))
        | ~ cunsatisfiable(A) )
      & ( rinvs(y_nn_3(A),z_nn_4(A))
        | ~ cunsatisfiable(A) )
      & ( cp(z_nn_4(A))
        | ~ cunsatisfiable(A) )
      & ( rs(A,y(A,D,E,F))
        | ~ rs(A,E)
        | ~ cp(E)
        | ~ rinvs(E,F)
        | ~ cp(F)
        | cunsatisfiable(A) )
      & ( cp(y(A,D,E,F))
        | ~ rs(A,E)
        | ~ cp(E)
        | ~ rinvs(E,F)
        | ~ cp(F)
        | cunsatisfiable(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS074+1.tptp',unknown),
    [] ).

cnf(166739208,plain,
    ( cp(y_nn_3(A))
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

fof(axiom_9,plain,
    cunsatisfiable(i2003_11_14_17_18_59896),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS074+1.tptp',unknown),
    [] ).

cnf(166836824,plain,
    cunsatisfiable(i2003_11_14_17_18_59896),
    inference(rewrite,[status(thm)],[axiom_9]),
    [] ).

cnf(172086112,plain,
    cp(y_nn_3(i2003_11_14_17_18_59896)),
    inference(resolution,[status(thm)],[166739208,166836824]),
    [] ).

cnf(166761304,plain,
    ( ~ rs(A,D)
    | ~ cp(D)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(172142856,plain,
    ( ~ rs(i2003_11_14_17_18_59896,C)
    | ~ cp(C) ),
    inference(resolution,[status(thm)],[166761304,166836824]),
    [] ).

cnf(166748696,plain,
    ( rs(A,y_nn_3(A))
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(172096304,plain,
    rs(i2003_11_14_17_18_59896,y_nn_3(i2003_11_14_17_18_59896)),
    inference(resolution,[status(thm)],[166748696,166836824]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172086112,172142856,172096304]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_2,plain,(((~rs(A,D)|~cp(D)|~cunsatisfiable(A))&(rs(A,y_nn_3(A))|~cunsatisfiable(A))&(cp(y_nn_3(A))|~cunsatisfiable(A))&(rinvs(y_nn_3(A),z_nn_4(A))|~cunsatisfiable(A))&(cp(z_nn_4(A))|~cunsatisfiable(A))&(rs(A,y(A,D,E,F))|~rs(A,E)|~cp(E)|~rinvs(E,F)|~cp(F)|cunsatisfiable(A))&(cp(y(A,D,E,F))|~rs(A,E)|~cp(E)|~rinvs(E,F)|~cp(F)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS074+1.tptp',unknown),[]).
% 
% cnf(166739208,plain,(cp(y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% fof(axiom_9,plain,(cunsatisfiable(i2003_11_14_17_18_59896)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS074+1.tptp',unknown),[]).
% 
% cnf(166836824,plain,(cunsatisfiable(i2003_11_14_17_18_59896)),inference(rewrite,[status(thm)],[axiom_9]),[]).
% 
% cnf(172086112,plain,(cp(y_nn_3(i2003_11_14_17_18_59896))),inference(resolution,[status(thm)],[166739208,166836824]),[]).
% 
% cnf(166761304,plain,(~rs(A,D)|~cp(D)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(172142856,plain,(~rs(i2003_11_14_17_18_59896,C)|~cp(C)),inference(resolution,[status(thm)],[166761304,166836824]),[]).
% 
% cnf(166748696,plain,(rs(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(172096304,plain,(rs(i2003_11_14_17_18_59896,y_nn_3(i2003_11_14_17_18_59896))),inference(resolution,[status(thm)],[166748696,166836824]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[172086112,172142856,172096304]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------