%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET658+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:34:52 EDT 2009

% Result   : Theorem 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (  13   ~;  11   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_relset_1_20,plain,
    ( ilf_type(b,binary_relation_type)
    & ~ ilf_type(b,relation_type(domain_of(b),range_of(b))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET658+3.tptp',unknown),
    [] ).

cnf(170785464,plain,
    ilf_type(b,binary_relation_type),
    inference(rewrite,[status(thm)],[prove_relset_1_20]),
    [] ).

fof(p3,plain,
    ! [A] :
      ( ~ ilf_type(A,binary_relation_type)
      | ilf_type(domain_of(A),set_type) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET658+3.tptp',unknown),
    [] ).

cnf(170174704,plain,
    ( ~ ilf_type(A,binary_relation_type)
    | ilf_type(domain_of(A),set_type) ),
    inference(rewrite,[status(thm)],[p3]),
    [] ).

fof(p1,plain,
    ! [A,B] :
      ( ~ ilf_type(A,set_type)
      | ~ ilf_type(B,binary_relation_type)
      | ~ subset(domain_of(B),A)
      | ilf_type(B,relation_type(A,range_of(B))) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET658+3.tptp',unknown),
    [] ).

cnf(170094648,plain,
    ( ~ ilf_type(A,set_type)
    | ~ ilf_type(B,binary_relation_type)
    | ~ subset(domain_of(B),A)
    | ilf_type(B,relation_type(A,range_of(B))) ),
    inference(rewrite,[status(thm)],[p1]),
    [] ).

fof(p15,plain,
    ! [A] :
      ( ~ ilf_type(A,set_type)
      | subset(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET658+3.tptp',unknown),
    [] ).

cnf(170432176,plain,
    ( ~ ilf_type(A,set_type)
    | subset(A,A) ),
    inference(rewrite,[status(thm)],[p15]),
    [] ).

cnf(186358272,plain,
    ( ~ ilf_type(A,binary_relation_type)
    | ilf_type(A,relation_type(domain_of(A),range_of(A))) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170174704,170094648,170432176]),
    [] ).

cnf(170777448,plain,
    ~ ilf_type(b,relation_type(domain_of(b),range_of(b))),
    inference(rewrite,[status(thm)],[prove_relset_1_20]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170785464,186358272,170777448]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_relset_1_20,plain,((ilf_type(b,binary_relation_type)&~ilf_type(b,relation_type(domain_of(b),range_of(b))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET658+3.tptp',unknown),[]).
% 
% cnf(170785464,plain,(ilf_type(b,binary_relation_type)),inference(rewrite,[status(thm)],[prove_relset_1_20]),[]).
% 
% fof(p3,plain,(~ilf_type(A,binary_relation_type)|ilf_type(domain_of(A),set_type)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET658+3.tptp',unknown),[]).
% 
% cnf(170174704,plain,(~ilf_type(A,binary_relation_type)|ilf_type(domain_of(A),set_type)),inference(rewrite,[status(thm)],[p3]),[]).
% 
% fof(p1,plain,(~ilf_type(A,set_type)|~ilf_type(B,binary_relation_type)|~subset(domain_of(B),A)|ilf_type(B,relation_type(A,range_of(B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET658+3.tptp',unknown),[]).
% 
% cnf(170094648,plain,(~ilf_type(A,set_type)|~ilf_type(B,binary_relation_type)|~subset(domain_of(B),A)|ilf_type(B,relation_type(A,range_of(B)))),inference(rewrite,[status(thm)],[p1]),[]).
% 
% fof(p15,plain,(~ilf_type(A,set_type)|subset(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET658+3.tptp',unknown),[]).
% 
% cnf(170432176,plain,(~ilf_type(A,set_type)|subset(A,A)),inference(rewrite,[status(thm)],[p15]),[]).
% 
% cnf(186358272,plain,(~ilf_type(A,binary_relation_type)|ilf_type(A,relation_type(domain_of(A),range_of(A)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[170174704,170094648,170432176]),[]).
% 
% cnf(170777448,plain,(~ilf_type(b,relation_type(domain_of(b),range_of(b)))),inference(rewrite,[status(thm)],[prove_relset_1_20]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[170785464,186358272,170777448]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------