TSTP Solution File: SET583+3 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET583+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 15:31:47 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 18 ( 8 ~; 6 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_extensionality,plain,
( subset(b,c)
& subset(c,b)
& ~ $equal(c,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET583+3.tptp',unknown),
[] ).
cnf(161400256,plain,
subset(c,b),
inference(rewrite,[status(thm)],[prove_extensionality]),
[] ).
cnf(161407248,plain,
subset(b,c),
inference(rewrite,[status(thm)],[prove_extensionality]),
[] ).
fof(equal_defn,plain,
! [B,A] :
( ( subset(B,A)
| ~ $equal(B,A) )
& ( subset(A,B)
| ~ $equal(B,A) )
& ( $equal(B,A)
| ~ subset(A,B)
| ~ subset(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET583+3.tptp',unknown),
[] ).
cnf(161295344,plain,
( $equal(B,A)
| ~ subset(A,B)
| ~ subset(B,A) ),
inference(rewrite,[status(thm)],[equal_defn]),
[] ).
cnf(161392928,plain,
~ $equal(c,b),
inference(rewrite,[status(thm)],[prove_extensionality]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[161400256,161407248,161295344,161392928]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_extensionality,plain,((subset(b,c)&subset(c,b)&~$equal(c,b))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET583+3.tptp',unknown),[]).
%
% cnf(161400256,plain,(subset(c,b)),inference(rewrite,[status(thm)],[prove_extensionality]),[]).
%
% cnf(161407248,plain,(subset(b,c)),inference(rewrite,[status(thm)],[prove_extensionality]),[]).
%
% fof(equal_defn,plain,(((subset(B,A)|~$equal(B,A))&(subset(A,B)|~$equal(B,A))&($equal(B,A)|~subset(A,B)|~subset(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET583+3.tptp',unknown),[]).
%
% cnf(161295344,plain,($equal(B,A)|~subset(A,B)|~subset(B,A)),inference(rewrite,[status(thm)],[equal_defn]),[]).
%
% cnf(161392928,plain,(~$equal(c,b)),inference(rewrite,[status(thm)],[prove_extensionality]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[161400256,161407248,161295344,161392928]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------