%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU158+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 15:49:51 EDT 2009
% Result : Theorem 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 22 ( 9 ~; 9 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t37_zfmisc_1,plain,
( ( in(a,b)
| subset(singleton(a),b) )
& ( ~ subset(singleton(a),b)
| subset(singleton(a),b) )
& ( in(a,b)
| ~ in(a,b) )
& ( ~ subset(singleton(a),b)
| ~ in(a,b) ) ),
file('/tmp/SystemOnTPTP8211/SEU158+2.p',unknown),
[] ).
cnf(145392680,plain,
( in(a,b)
| subset(singleton(a),b) ),
inference(rewrite,[status(thm)],[t37_zfmisc_1]),
[] ).
fof(l2_zfmisc_1,plain,
! [A,B] :
( ( ~ subset(singleton(A),B)
| in(A,B) )
& ( subset(singleton(A),B)
| ~ in(A,B) ) ),
file('/tmp/SystemOnTPTP8211/SEU158+2.p',unknown),
[] ).
cnf(145049504,plain,
( subset(singleton(A),B)
| ~ in(A,B) ),
inference(rewrite,[status(thm)],[l2_zfmisc_1]),
[] ).
cnf(145385864,plain,
~ in(a,b),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[t37_zfmisc_1,145049504]),
[] ).
cnf(156601224,plain,
subset(singleton(a),b),
inference(resolution,[status(thm)],[145392680,145385864]),
[] ).
cnf(145059664,plain,
( ~ subset(singleton(A),B)
| in(A,B) ),
inference(rewrite,[status(thm)],[l2_zfmisc_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[156601224,145059664,145385864]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t37_zfmisc_1,plain,(((in(a,b)|subset(singleton(a),b))&(~subset(singleton(a),b)|subset(singleton(a),b))&(in(a,b)|~in(a,b))&(~subset(singleton(a),b)|~in(a,b)))),file('/tmp/SystemOnTPTP8211/SEU158+2.p',unknown),[]).
%
% cnf(145392680,plain,(in(a,b)|subset(singleton(a),b)),inference(rewrite,[status(thm)],[t37_zfmisc_1]),[]).
%
% fof(l2_zfmisc_1,plain,(((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),file('/tmp/SystemOnTPTP8211/SEU158+2.p',unknown),[]).
%
% cnf(145049504,plain,(subset(singleton(A),B)|~in(A,B)),inference(rewrite,[status(thm)],[l2_zfmisc_1]),[]).
%
% cnf(145385864,plain,(~in(a,b)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[t37_zfmisc_1,145049504]),[]).
%
% cnf(156601224,plain,(subset(singleton(a),b)),inference(resolution,[status(thm)],[145392680,145385864]),[]).
%
% cnf(145059664,plain,(~subset(singleton(A),B)|in(A,B)),inference(rewrite,[status(thm)],[l2_zfmisc_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[156601224,145059664,145385864]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------