TSTP Solution File: SET676+3 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET676+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 15:35:18 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 33 ( 17 ~; 14 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(p19,plain,
! [A] : ilf_type(A,set_type),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET676+3.tptp',unknown),
[] ).
cnf(144486624,plain,
ilf_type(A,set_type),
inference(rewrite,[status(thm)],[p19]),
[] ).
fof(p1,plain,
! [A,B] :
( ~ ilf_type(A,set_type)
| ~ ilf_type(B,set_type)
| ilf_type(cross_product(A,B),relation_type(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET676+3.tptp',unknown),
[] ).
cnf(143965256,plain,
( ~ ilf_type(A,set_type)
| ~ ilf_type(B,set_type)
| ilf_type(cross_product(A,B),relation_type(A,B)) ),
inference(rewrite,[status(thm)],[p1]),
[] ).
cnf(152481288,plain,
ilf_type(cross_product(A,B),relation_type(A,B)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144486624,143965256,144486624]),
[] ).
fof(p4,plain,
! [B,A] :
( ( ~ ilf_type(B,identity_relation_of_type(A))
| ilf_type(B,relation_type(A,A))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) )
& ( ilf_type(B,identity_relation_of_type(A))
| ~ ilf_type(B,relation_type(A,A))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET676+3.tptp',unknown),
[] ).
cnf(144117232,plain,
( ilf_type(B,identity_relation_of_type(A))
| ~ ilf_type(B,relation_type(A,A))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(rewrite,[status(thm)],[p4]),
[] ).
cnf(152507152,plain,
( ilf_type(B,identity_relation_of_type(A))
| ~ ilf_type(B,relation_type(A,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144486624,144117232,144486624]),
[] ).
fof(prove_relset_1_41,plain,
( ilf_type(b,set_type)
& ~ ilf_type(cross_product(b,b),identity_relation_of_type(b)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET676+3.tptp',unknown),
[] ).
cnf(144532328,plain,
~ ilf_type(cross_product(b,b),identity_relation_of_type(b)),
inference(rewrite,[status(thm)],[prove_relset_1_41]),
[] ).
cnf(152782664,plain,
~ ilf_type(cross_product(b,b),relation_type(b,b)),
inference(resolution,[status(thm)],[152507152,144532328]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[152481288,152782664]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(p19,plain,(ilf_type(A,set_type)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET676+3.tptp',unknown),[]).
%
% cnf(144486624,plain,(ilf_type(A,set_type)),inference(rewrite,[status(thm)],[p19]),[]).
%
% fof(p1,plain,(~ilf_type(A,set_type)|~ilf_type(B,set_type)|ilf_type(cross_product(A,B),relation_type(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET676+3.tptp',unknown),[]).
%
% cnf(143965256,plain,(~ilf_type(A,set_type)|~ilf_type(B,set_type)|ilf_type(cross_product(A,B),relation_type(A,B))),inference(rewrite,[status(thm)],[p1]),[]).
%
% cnf(152481288,plain,(ilf_type(cross_product(A,B),relation_type(A,B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[144486624,143965256,144486624]),[]).
%
% fof(p4,plain,(((~ilf_type(B,identity_relation_of_type(A))|ilf_type(B,relation_type(A,A))|~ilf_type(B,set_type)|~ilf_type(A,set_type))&(ilf_type(B,identity_relation_of_type(A))|~ilf_type(B,relation_type(A,A))|~ilf_type(B,set_type)|~ilf_type(A,set_type)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET676+3.tptp',unknown),[]).
%
% cnf(144117232,plain,(ilf_type(B,identity_relation_of_type(A))|~ilf_type(B,relation_type(A,A))|~ilf_type(B,set_type)|~ilf_type(A,set_type)),inference(rewrite,[status(thm)],[p4]),[]).
%
% cnf(152507152,plain,(ilf_type(B,identity_relation_of_type(A))|~ilf_type(B,relation_type(A,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[144486624,144117232,144486624]),[]).
%
% fof(prove_relset_1_41,plain,((ilf_type(b,set_type)&~ilf_type(cross_product(b,b),identity_relation_of_type(b)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET676+3.tptp',unknown),[]).
%
% cnf(144532328,plain,(~ilf_type(cross_product(b,b),identity_relation_of_type(b))),inference(rewrite,[status(thm)],[prove_relset_1_41]),[]).
%
% cnf(152782664,plain,(~ilf_type(cross_product(b,b),relation_type(b,b))),inference(resolution,[status(thm)],[152507152,144532328]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[152481288,152782664]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------