%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU153+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 15:49:34 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 25 ( 11 ~; 10 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l2_zfmisc_1,plain,
! [A,B] :
( ( ~ subset(singleton(A),B)
| in(A,B) )
& ( subset(singleton(A),B)
| ~ in(A,B) ) ),
file('/tmp/SystemOnTPTP31268/SEU153+2.p',unknown),
[] ).
cnf(163785880,plain,
( ~ subset(singleton(A),B)
| in(A,B) ),
inference(rewrite,[status(thm)],[l2_zfmisc_1]),
[] ).
fof(reflexivity_r1_tarski,plain,
! [A] : subset(A,A),
file('/tmp/SystemOnTPTP31268/SEU153+2.p',unknown),
[] ).
cnf(163844712,plain,
subset(A,A),
inference(rewrite,[status(thm)],[reflexivity_r1_tarski]),
[] ).
cnf(174793008,plain,
in(A,singleton(A)),
inference(resolution,[status(thm)],[163785880,163844712]),
[] ).
fof(t3_xboole_0,plain,
! [A,B,D] :
( ( in(c_nn_1(A,B),B)
| disjoint(A,B) )
& ( in(c_nn_1(A,B),A)
| disjoint(A,B) )
& ( ~ in(D,A)
| ~ in(D,B)
| ~ disjoint(A,B) ) ),
file('/tmp/SystemOnTPTP31268/SEU153+2.p',unknown),
[] ).
cnf(163996496,plain,
( ~ in(D,A)
| ~ in(D,B)
| ~ disjoint(A,B) ),
inference(rewrite,[status(thm)],[t3_xboole_0]),
[] ).
fof(l25_zfmisc_1,plain,
( disjoint(singleton(a),b)
& in(a,b) ),
file('/tmp/SystemOnTPTP31268/SEU153+2.p',unknown),
[] ).
cnf(163761480,plain,
in(a,b),
inference(rewrite,[status(thm)],[l25_zfmisc_1]),
[] ).
cnf(175097696,plain,
( ~ in(a,A)
| ~ disjoint(A,b) ),
inference(resolution,[status(thm)],[163996496,163761480]),
[] ).
cnf(163773664,plain,
disjoint(singleton(a),b),
inference(rewrite,[status(thm)],[l25_zfmisc_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174793008,175097696,163773664]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l2_zfmisc_1,plain,(((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),file('/tmp/SystemOnTPTP31268/SEU153+2.p',unknown),[]).
%
% cnf(163785880,plain,(~subset(singleton(A),B)|in(A,B)),inference(rewrite,[status(thm)],[l2_zfmisc_1]),[]).
%
% fof(reflexivity_r1_tarski,plain,(subset(A,A)),file('/tmp/SystemOnTPTP31268/SEU153+2.p',unknown),[]).
%
% cnf(163844712,plain,(subset(A,A)),inference(rewrite,[status(thm)],[reflexivity_r1_tarski]),[]).
%
% cnf(174793008,plain,(in(A,singleton(A))),inference(resolution,[status(thm)],[163785880,163844712]),[]).
%
% fof(t3_xboole_0,plain,(((in(c_nn_1(A,B),B)|disjoint(A,B))&(in(c_nn_1(A,B),A)|disjoint(A,B))&(~in(D,A)|~in(D,B)|~disjoint(A,B)))),file('/tmp/SystemOnTPTP31268/SEU153+2.p',unknown),[]).
%
% cnf(163996496,plain,(~in(D,A)|~in(D,B)|~disjoint(A,B)),inference(rewrite,[status(thm)],[t3_xboole_0]),[]).
%
% fof(l25_zfmisc_1,plain,((disjoint(singleton(a),b)&in(a,b))),file('/tmp/SystemOnTPTP31268/SEU153+2.p',unknown),[]).
%
% cnf(163761480,plain,(in(a,b)),inference(rewrite,[status(thm)],[l25_zfmisc_1]),[]).
%
% cnf(175097696,plain,(~in(a,A)|~disjoint(A,b)),inference(resolution,[status(thm)],[163996496,163761480]),[]).
%
% cnf(163773664,plain,(disjoint(singleton(a),b)),inference(rewrite,[status(thm)],[l25_zfmisc_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174793008,175097696,163773664]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------