TSTP Solution File: KRS148+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS148+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 13:29:32 EDT 2009

% Result   : Theorem 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  105 (  45   ~;  51   |;   9   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   11 (   2 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_71,plain,
    ! [A] :
      ( ( cc116(A)
        | ~ ctest(A) )
      & ( cc140(A)
        | ~ ctest(A) )
      & ( ctest(A)
        | ~ cc140(A)
        | ~ cc116(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS148+1.tptp',unknown),
    [] ).

cnf(170842672,plain,
    ( cc116(A)
    | ~ ctest(A) ),
    inference(rewrite,[status(thm)],[axiom_71]),
    [] ).

fof(axiom_72,plain,
    ctest(iv5475),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS148+1.tptp',unknown),
    [] ).

cnf(170854328,plain,
    ctest(iv5475),
    inference(rewrite,[status(thm)],[axiom_72]),
    [] ).

cnf(182847384,plain,
    cc116(iv5475),
    inference(resolution,[status(thm)],[170842672,170854328]),
    [] ).

fof(the_axiom,plain,
    ( ( ~ xsd_integer(x)
      | xsd_integer(x)
      | ~ cc138(iv5475)
      | ~ cowlthing(iv5475)
      | ~ cc116(iv5475)
      | ~ cc140(iv5475)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_string(x)
      | xsd_integer(x)
      | ~ cc138(iv5475)
      | ~ cowlthing(iv5475)
      | ~ cc116(iv5475)
      | ~ cc140(iv5475)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_integer(x)
      | xsd_string(x)
      | ~ cc138(iv5475)
      | ~ cowlthing(iv5475)
      | ~ cc116(iv5475)
      | ~ cc140(iv5475)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_string(x)
      | xsd_string(x)
      | ~ cc138(iv5475)
      | ~ cowlthing(iv5475)
      | ~ cc116(iv5475)
      | ~ cc140(iv5475)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS148+1.tptp',unknown),
    [] ).

fof(axiom_25,plain,
    ! [A] :
      ( ( cc138(A)
        | ~ cc140(A) )
      & ( ctop(A)
        | ~ cc140(A) )
      & ( cc140(A)
        | ~ ctop(A)
        | ~ cc138(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS148+1.tptp',unknown),
    [] ).

cnf(168511920,plain,
    ( cc138(A)
    | ~ cc140(A) ),
    inference(rewrite,[status(thm)],[axiom_25]),
    [] ).

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/KRS148+1.tptp',unknown),
    [] ).

cnf(167148768,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/KRS148+1.tptp',unknown),
    [] ).

cnf(167134600,plain,
    cowlthing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(171168528,plain,
    ( xsd_string(x)
    | ~ cc116(iv5475)
    | ~ cc140(iv5475)
    | cowlnothing(x_nn_1) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,168511920,167148768,167134600]),
    [] ).

cnf(171190504,plain,
    ( xsd_integer(x)
    | ~ cc116(iv5475)
    | ~ cc140(iv5475)
    | cowlnothing(x_nn_1) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,171168528,168511920,167134600]),
    [] ).

cnf(170826048,plain,
    ( cc140(A)
    | ~ ctest(A) ),
    inference(rewrite,[status(thm)],[axiom_71]),
    [] ).

cnf(182834984,plain,
    cc140(iv5475),
    inference(resolution,[status(thm)],[170826048,170854328]),
    [] ).

cnf(183238416,plain,
    ( xsd_integer(x)
    | cowlnothing(x_nn_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[182847384,171190504,182834984]),
    [] ).

cnf(167112288,plain,
    ~ cowlnothing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(184845368,plain,
    xsd_integer(x),
    inference(resolution,[status(thm)],[183238416,167112288]),
    [] ).

cnf(167163000,plain,
    ( ~ xsd_string(A)
    | ~ xsd_integer(A) ),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

cnf(183239504,plain,
    ( xsd_string(x)
    | cowlnothing(x_nn_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[182847384,171168528,182834984]),
    [] ).

cnf(184833064,plain,
    xsd_string(x),
    inference(resolution,[status(thm)],[183239504,167112288]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[184845368,167163000,184833064]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_71,plain,(((cc116(A)|~ctest(A))&(cc140(A)|~ctest(A))&(ctest(A)|~cc140(A)|~cc116(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS148+1.tptp',unknown),[]).
% 
% cnf(170842672,plain,(cc116(A)|~ctest(A)),inference(rewrite,[status(thm)],[axiom_71]),[]).
% 
% fof(axiom_72,plain,(ctest(iv5475)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS148+1.tptp',unknown),[]).
% 
% cnf(170854328,plain,(ctest(iv5475)),inference(rewrite,[status(thm)],[axiom_72]),[]).
% 
% cnf(182847384,plain,(cc116(iv5475)),inference(resolution,[status(thm)],[170842672,170854328]),[]).
% 
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~cc138(iv5475)|~cowlthing(iv5475)|~cc116(iv5475)|~cc140(iv5475)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~cc138(iv5475)|~cowlthing(iv5475)|~cc116(iv5475)|~cc140(iv5475)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~cc138(iv5475)|~cowlthing(iv5475)|~cc116(iv5475)|~cc140(iv5475)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~cc138(iv5475)|~cowlthing(iv5475)|~cc116(iv5475)|~cc140(iv5475)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS148+1.tptp',unknown),[]).
% 
% fof(axiom_25,plain,(((cc138(A)|~cc140(A))&(ctop(A)|~cc140(A))&(cc140(A)|~ctop(A)|~cc138(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS148+1.tptp',unknown),[]).
% 
% cnf(168511920,plain,(cc138(A)|~cc140(A)),inference(rewrite,[status(thm)],[axiom_25]),[]).
% 
% 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/KRS148+1.tptp',unknown),[]).
% 
% cnf(167148768,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/KRS148+1.tptp',unknown),[]).
% 
% cnf(167134600,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(171168528,plain,(xsd_string(x)|~cc116(iv5475)|~cc140(iv5475)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,168511920,167148768,167134600]),[]).
% 
% cnf(171190504,plain,(xsd_integer(x)|~cc116(iv5475)|~cc140(iv5475)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,171168528,168511920,167134600]),[]).
% 
% cnf(170826048,plain,(cc140(A)|~ctest(A)),inference(rewrite,[status(thm)],[axiom_71]),[]).
% 
% cnf(182834984,plain,(cc140(iv5475)),inference(resolution,[status(thm)],[170826048,170854328]),[]).
% 
% cnf(183238416,plain,(xsd_integer(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182847384,171190504,182834984]),[]).
% 
% cnf(167112288,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(184845368,plain,(xsd_integer(x)),inference(resolution,[status(thm)],[183238416,167112288]),[]).
% 
% cnf(167163000,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% cnf(183239504,plain,(xsd_string(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182847384,171168528,182834984]),[]).
% 
% cnf(184833064,plain,(xsd_string(x)),inference(resolution,[status(thm)],[183239504,167112288]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[184845368,167163000,184833064]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------