TSTP Solution File: KRS137+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS137+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 13:29:01 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :   88 (  38   ~;  44   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    9 (   2 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_2,plain,
    ! [A] :
      ( ( ~ ccar(A)
        | cautomobile(A) )
      & ( ccar(A)
        | ~ cautomobile(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS137+1.tptp',unknown),
    [] ).

cnf(159843240,plain,
    ( ~ ccar(A)
    | cautomobile(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

fof(axiom_6,plain,
    ccar(icar),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS137+1.tptp',unknown),
    [] ).

cnf(159852024,plain,
    ccar(icar),
    inference(rewrite,[status(thm)],[axiom_6]),
    [] ).

cnf(170442088,plain,
    cautomobile(icar),
    inference(resolution,[status(thm)],[159843240,159852024]),
    [] ).

fof(the_axiom,plain,
    ( ( ~ xsd_integer(x)
      | xsd_integer(x)
      | ~ ccar(iauto)
      | ~ cowlthing(iauto)
      | ~ cowlthing(icar)
      | ~ cautomobile(icar)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_string(x)
      | xsd_integer(x)
      | ~ ccar(iauto)
      | ~ cowlthing(iauto)
      | ~ cowlthing(icar)
      | ~ cautomobile(icar)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_integer(x)
      | xsd_string(x)
      | ~ ccar(iauto)
      | ~ cowlthing(iauto)
      | ~ cowlthing(icar)
      | ~ cautomobile(icar)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) )
    & ( ~ xsd_string(x)
      | xsd_string(x)
      | ~ ccar(iauto)
      | ~ cowlthing(iauto)
      | ~ cowlthing(icar)
      | ~ cautomobile(icar)
      | ~ cowlthing(x_nn_1)
      | cowlnothing(x_nn_1) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS137+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/KRS137+1.tptp',unknown),
    [] ).

cnf(159819728,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/KRS137+1.tptp',unknown),
    [] ).

cnf(159813200,plain,
    cowlthing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(159992024,plain,
    ( xsd_string(x)
    | ~ ccar(iauto)
    | ~ cautomobile(icar)
    | cowlnothing(x_nn_1) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,159819728,159813200]),
    [] ).

cnf(159832536,plain,
    ( ccar(A)
    | ~ cautomobile(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

fof(axiom_4,plain,
    cautomobile(iauto),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS137+1.tptp',unknown),
    [] ).

cnf(159847928,plain,
    cautomobile(iauto),
    inference(rewrite,[status(thm)],[axiom_4]),
    [] ).

cnf(170436072,plain,
    ccar(iauto),
    inference(resolution,[status(thm)],[159832536,159847928]),
    [] ).

cnf(170448352,plain,
    ( xsd_string(x)
    | cowlnothing(x_nn_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170442088,159992024,170436072]),
    [] ).

cnf(159804856,plain,
    ~ cowlnothing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(170473744,plain,
    xsd_string(x),
    inference(resolution,[status(thm)],[170448352,159804856]),
    [] ).

cnf(159826320,plain,
    ( ~ xsd_string(A)
    | ~ xsd_integer(A) ),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

cnf(160006296,plain,
    ( xsd_integer(x)
    | ~ ccar(iauto)
    | ~ cautomobile(icar)
    | cowlnothing(x_nn_1) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,159992024,159813200]),
    [] ).

cnf(170454624,plain,
    ( xsd_integer(x)
    | cowlnothing(x_nn_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170442088,160006296,170436072]),
    [] ).

cnf(170469168,plain,
    xsd_integer(x),
    inference(resolution,[status(thm)],[170454624,159804856]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170473744,159826320,170469168]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_2,plain,(((~ccar(A)|cautomobile(A))&(ccar(A)|~cautomobile(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS137+1.tptp',unknown),[]).
% 
% cnf(159843240,plain,(~ccar(A)|cautomobile(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% fof(axiom_6,plain,(ccar(icar)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS137+1.tptp',unknown),[]).
% 
% cnf(159852024,plain,(ccar(icar)),inference(rewrite,[status(thm)],[axiom_6]),[]).
% 
% cnf(170442088,plain,(cautomobile(icar)),inference(resolution,[status(thm)],[159843240,159852024]),[]).
% 
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~ccar(iauto)|~cowlthing(iauto)|~cowlthing(icar)|~cautomobile(icar)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~ccar(iauto)|~cowlthing(iauto)|~cowlthing(icar)|~cautomobile(icar)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~ccar(iauto)|~cowlthing(iauto)|~cowlthing(icar)|~cautomobile(icar)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~ccar(iauto)|~cowlthing(iauto)|~cowlthing(icar)|~cautomobile(icar)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS137+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/KRS137+1.tptp',unknown),[]).
% 
% cnf(159819728,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/KRS137+1.tptp',unknown),[]).
% 
% cnf(159813200,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(159992024,plain,(xsd_string(x)|~ccar(iauto)|~cautomobile(icar)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,159819728,159813200]),[]).
% 
% cnf(159832536,plain,(ccar(A)|~cautomobile(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% fof(axiom_4,plain,(cautomobile(iauto)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS137+1.tptp',unknown),[]).
% 
% cnf(159847928,plain,(cautomobile(iauto)),inference(rewrite,[status(thm)],[axiom_4]),[]).
% 
% cnf(170436072,plain,(ccar(iauto)),inference(resolution,[status(thm)],[159832536,159847928]),[]).
% 
% cnf(170448352,plain,(xsd_string(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170442088,159992024,170436072]),[]).
% 
% cnf(159804856,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(170473744,plain,(xsd_string(x)),inference(resolution,[status(thm)],[170448352,159804856]),[]).
% 
% cnf(159826320,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% cnf(160006296,plain,(xsd_integer(x)|~ccar(iauto)|~cautomobile(icar)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,159992024,159813200]),[]).
% 
% cnf(170454624,plain,(xsd_integer(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170442088,160006296,170436072]),[]).
% 
% cnf(170469168,plain,(xsd_integer(x)),inference(resolution,[status(thm)],[170454624,159804856]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[170473744,159826320,170469168]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------