TSTP Solution File: KRS169+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS169+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 13:30:42 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :   76 (  33   ~;  37   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   10 (   2 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(the_axiom,plain,
    ( ( ~ xsd_integer(x)
      | xsd_integer(x)
      | ~ cowlthing(ix)
      | ~ rhashead(ix,iy)
      | ~ cowlthing(iy)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_string(x)
      | xsd_integer(x)
      | ~ cowlthing(ix)
      | ~ rhashead(ix,iy)
      | ~ cowlthing(iy)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_integer(x)
      | xsd_string(x)
      | ~ cowlthing(ix)
      | ~ rhashead(ix,iy)
      | ~ cowlthing(iy)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_string(x)
      | xsd_string(x)
      | ~ cowlthing(ix)
      | ~ rhashead(ix,iy)
      | ~ cowlthing(iy)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),
    [] ).

fof(axiom_1,plain,
    ! [A] :
      ( ( ~ xsd_string(A)
        | ~ xsd_integer(A) )
      & ( xsd_string(A)
        | xsd_integer(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),
    [] ).

cnf(167824064,plain,
    ( xsd_string(A)
    | xsd_integer(A) ),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

fof(axiom_0,plain,
    ! [A] :
      ( cowlthing(A)
      & ~ cowlnothing(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),
    [] ).

cnf(167817472,plain,
    cowlthing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(167978504,plain,
    ( xsd_string(x)
    | ~ rhashead(ix,iy)
    | cowlnothing(x_nn_1) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,167824064,167817472]),
    [] ).

cnf(167986928,plain,
    ( xsd_integer(x)
    | ~ rhashead(ix,iy)
    | cowlnothing(x_nn_1) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,167978504,167817472]),
    [] ).

cnf(167809128,plain,
    ~ cowlnothing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(178425600,plain,
    ( xsd_integer(x)
    | ~ rhashead(ix,iy) ),
    inference(resolution,[status(thm)],[167986928,167809128]),
    [] ).

fof(axiom_5,plain,
    ! [A,B] :
      ( ( ~ rhasleader(A,B)
        | rhashead(A,B) )
      & ( rhasleader(A,B)
        | ~ rhashead(A,B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),
    [] ).

cnf(167851752,plain,
    ( ~ rhasleader(A,B)
    | rhashead(A,B) ),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

fof(axiom_3,plain,
    rhasleader(ix,iy),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),
    [] ).

cnf(167835264,plain,
    rhasleader(ix,iy),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(178430960,plain,
    rhashead(ix,iy),
    inference(resolution,[status(thm)],[167851752,167835264]),
    [] ).

cnf(178420960,plain,
    ( xsd_string(x)
    | ~ rhashead(ix,iy) ),
    inference(resolution,[status(thm)],[167978504,167809128]),
    [] ).

cnf(167830720,plain,
    ( ~ xsd_string(A)
    | ~ xsd_integer(A) ),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[178425600,178430960,178420960,167830720]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~cowlthing(ix)|~rhashead(ix,iy)|~cowlthing(iy)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~cowlthing(ix)|~rhashead(ix,iy)|~cowlthing(iy)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~cowlthing(ix)|~rhashead(ix,iy)|~cowlthing(iy)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~cowlthing(ix)|~rhashead(ix,iy)|~cowlthing(iy)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),[]).
% 
% fof(axiom_1,plain,(((~xsd_string(A)|~xsd_integer(A))&(xsd_string(A)|xsd_integer(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),[]).
% 
% cnf(167824064,plain,(xsd_string(A)|xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),[]).
% 
% cnf(167817472,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(167978504,plain,(xsd_string(x)|~rhashead(ix,iy)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,167824064,167817472]),[]).
% 
% cnf(167986928,plain,(xsd_integer(x)|~rhashead(ix,iy)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,167978504,167817472]),[]).
% 
% cnf(167809128,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(178425600,plain,(xsd_integer(x)|~rhashead(ix,iy)),inference(resolution,[status(thm)],[167986928,167809128]),[]).
% 
% fof(axiom_5,plain,(((~rhasleader(A,B)|rhashead(A,B))&(rhasleader(A,B)|~rhashead(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),[]).
% 
% cnf(167851752,plain,(~rhasleader(A,B)|rhashead(A,B)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% fof(axiom_3,plain,(rhasleader(ix,iy)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS169+1.tptp',unknown),[]).
% 
% cnf(167835264,plain,(rhasleader(ix,iy)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(178430960,plain,(rhashead(ix,iy)),inference(resolution,[status(thm)],[167851752,167835264]),[]).
% 
% cnf(178420960,plain,(xsd_string(x)|~rhashead(ix,iy)),inference(resolution,[status(thm)],[167978504,167809128]),[]).
% 
% cnf(167830720,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[178425600,178430960,178420960,167830720]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------