TSTP Solution File: SEU119+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU119+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 15:46:21 EDT 2009
% Result : Theorem 3.5s
% Output : Refutation 3.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 162 ( 67 ~; 74 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 57 ( 15 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(d3_xboole_0,plain,
! [D,C,A,B] :
( ( in(D,C)
| ~ in(D,A)
| ~ in(D,B)
| ~ $equal(set_intersection2(A,B),C) )
& ( in(D,B)
| ~ in(D,C)
| ~ $equal(set_intersection2(A,B),C) )
& ( in(D,A)
| ~ in(D,C)
| ~ $equal(set_intersection2(A,B),C) )
& ( in(d(A,B,C,D),A)
| ~ in(d(A,B,C,D),A)
| ~ in(d(A,B,C,D),B)
| $equal(set_intersection2(A,B),C) )
& ( in(d(A,B,C,D),B)
| ~ in(d(A,B,C,D),A)
| ~ in(d(A,B,C,D),B)
| $equal(set_intersection2(A,B),C) )
& ( ~ in(d(A,B,C,D),C)
| ~ in(d(A,B,C,D),A)
| ~ in(d(A,B,C,D),B)
| $equal(set_intersection2(A,B),C) )
& ( in(d(A,B,C,D),A)
| in(d(A,B,C,D),C)
| $equal(set_intersection2(A,B),C) )
& ( in(d(A,B,C,D),B)
| in(d(A,B,C,D),C)
| $equal(set_intersection2(A,B),C) )
& ( ~ in(d(A,B,C,D),C)
| in(d(A,B,C,D),C)
| $equal(set_intersection2(A,B),C) ) ),
file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),
[] ).
cnf(164763064,plain,
( in(D,B)
| ~ in(D,C)
| ~ $equal(set_intersection2(A,B),C) ),
inference(rewrite,[status(thm)],[d3_xboole_0]),
[] ).
fof(commutativity_k3_xboole_0,plain,
! [B,A] : $equal(set_intersection2(B,A),set_intersection2(A,B)),
file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),
[] ).
cnf(164705184,plain,
$equal(set_intersection2(B,A),set_intersection2(A,B)),
inference(rewrite,[status(thm)],[commutativity_k3_xboole_0]),
[] ).
cnf(195889864,plain,
( in(C,B)
| ~ in(C,set_intersection2(B,A)) ),
inference(resolution,[status(thm)],[164763064,164705184]),
[] ).
fof(d1_xboole_0,plain,
! [A,B] :
( ( ~ $equal(empty_set,A)
| ~ in(B,A) )
& ( $equal(empty_set,A)
| in(b(A,B),A) ) ),
file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),
[] ).
cnf(164711136,plain,
( $equal(empty_set,A)
| in(b(A,B),A) ),
inference(rewrite,[status(thm)],[d1_xboole_0]),
[] ).
fof(d7_xboole_0,plain,
! [A,B] :
( ( ~ disjoint(A,B)
| $equal(empty_set,set_intersection2(A,B)) )
& ( disjoint(A,B)
| ~ $equal(empty_set,set_intersection2(A,B)) ) ),
file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),
[] ).
cnf(164775616,plain,
( disjoint(A,B)
| ~ $equal(empty_set,set_intersection2(A,B)) ),
inference(rewrite,[status(thm)],[d7_xboole_0]),
[] ).
cnf(195921816,plain,
( in(b(set_intersection2(B,C),A),set_intersection2(B,C))
| disjoint(B,C) ),
inference(resolution,[status(thm)],[164711136,164775616]),
[] ).
cnf(164717760,plain,
( ~ $equal(empty_set,A)
| ~ in(B,A) ),
inference(rewrite,[status(thm)],[d1_xboole_0]),
[] ).
cnf(194167632,plain,
( ~ in(B,A)
| in(b(A,C),A) ),
inference(resolution,[status(thm)],[164717760,164711136]),
[] ).
cnf(164769328,plain,
( in(D,C)
| ~ in(D,A)
| ~ in(D,B)
| ~ $equal(set_intersection2(A,B),C) ),
inference(rewrite,[status(thm)],[d3_xboole_0]),
[] ).
cnf(195897528,plain,
( in(C,set_intersection2(B,A))
| ~ in(C,A)
| ~ in(C,B) ),
inference(resolution,[status(thm)],[164769328,164705184]),
[] ).
fof(t3_xboole_0,plain,
! [C] :
( ( ~ disjoint(a,b)
| ~ disjoint(a,b)
| disjoint(a,b) )
& ( ~ in(C,a)
| ~ disjoint(a,b)
| disjoint(a,b) )
& ( ~ disjoint(a,b)
| ~ in(C,b)
| disjoint(a,b) )
& ( ~ in(C,a)
| ~ in(C,b)
| disjoint(a,b) )
& ( ~ disjoint(a,b)
| ~ disjoint(a,b)
| in(c(C),a) )
& ( ~ in(C,a)
| ~ disjoint(a,b)
| in(c(C),a) )
& ( ~ disjoint(a,b)
| ~ in(C,b)
| in(c(C),a) )
& ( ~ in(C,a)
| ~ in(C,b)
| in(c(C),a) )
& ( ~ disjoint(a,b)
| ~ disjoint(a,b)
| in(c(C),b) )
& ( ~ in(C,a)
| ~ disjoint(a,b)
| in(c(C),b) )
& ( ~ disjoint(a,b)
| ~ in(C,b)
| in(c(C),b) )
& ( ~ in(C,a)
| ~ in(C,b)
| in(c(C),b) ) ),
file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),
[] ).
cnf(165018104,plain,
( ~ disjoint(a,b)
| in(c(C),b) ),
inference(rewrite,[status(thm)],[t3_xboole_0]),
[] ).
cnf(196546096,plain,
( in(c(D),set_intersection2(A,b))
| ~ in(c(D),A)
| ~ disjoint(a,b) ),
inference(resolution,[status(thm)],[195897528,165018104]),
[] ).
cnf(165038304,plain,
( ~ disjoint(a,b)
| in(c(C),a) ),
inference(rewrite,[status(thm)],[t3_xboole_0]),
[] ).
cnf(196629112,plain,
( in(c(C),set_intersection2(a,b))
| ~ disjoint(a,b) ),
inference(resolution,[status(thm)],[196546096,165038304]),
[] ).
cnf(227188856,plain,
in(b(set_intersection2(a,b),A),set_intersection2(a,b)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195921816,194167632,196629112]),
[] ).
cnf(235090912,plain,
in(b(set_intersection2(a,b),A),a),
inference(resolution,[status(thm)],[195889864,227188856]),
[] ).
cnf(165042712,plain,
( ~ in(C,a)
| ~ in(C,b)
| disjoint(a,b) ),
inference(rewrite,[status(thm)],[t3_xboole_0]),
[] ).
cnf(164758768,plain,
( in(D,A)
| ~ in(D,C)
| ~ $equal(set_intersection2(A,B),C) ),
inference(rewrite,[status(thm)],[d3_xboole_0]),
[] ).
cnf(195885064,plain,
( in(C,A)
| ~ in(C,set_intersection2(B,A)) ),
inference(resolution,[status(thm)],[164758768,164705184]),
[] ).
cnf(235076136,plain,
in(b(set_intersection2(a,b),A),b),
inference(resolution,[status(thm)],[195885064,227188856]),
[] ).
cnf(235275240,plain,
disjoint(a,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[235090912,165042712,235076136]),
[] ).
cnf(164786352,plain,
( ~ disjoint(A,B)
| $equal(empty_set,set_intersection2(A,B)) ),
inference(rewrite,[status(thm)],[d7_xboole_0]),
[] ).
cnf(227183416,plain,
~ disjoint(a,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[164786352,164717760,196629112]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[235275240,227183416]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 3 seconds
% START OF PROOF SEQUENCE
% fof(d3_xboole_0,plain,(((in(D,C)|~in(D,A)|~in(D,B)|~$equal(set_intersection2(A,B),C))&(in(D,B)|~in(D,C)|~$equal(set_intersection2(A,B),C))&(in(D,A)|~in(D,C)|~$equal(set_intersection2(A,B),C))&(in(d(A,B,C,D),A)|~in(d(A,B,C,D),A)|~in(d(A,B,C,D),B)|$equal(set_intersection2(A,B),C))&(in(d(A,B,C,D),B)|~in(d(A,B,C,D),A)|~in(d(A,B,C,D),B)|$equal(set_intersection2(A,B),C))&(~in(d(A,B,C,D),C)|~in(d(A,B,C,D),A)|~in(d(A,B,C,D),B)|$equal(set_intersection2(A,B),C))&(in(d(A,B,C,D),A)|in(d(A,B,C,D),C)|$equal(set_intersection2(A,B),C))&(in(d(A,B,C,D),B)|in(d(A,B,C,D),C)|$equal(set_intersection2(A,B),C))&(~in(d(A,B,C,D),C)|in(d(A,B,C,D),C)|$equal(set_intersection2(A,B),C)))),file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),[]).
%
% cnf(164763064,plain,(in(D,B)|~in(D,C)|~$equal(set_intersection2(A,B),C)),inference(rewrite,[status(thm)],[d3_xboole_0]),[]).
%
% fof(commutativity_k3_xboole_0,plain,($equal(set_intersection2(B,A),set_intersection2(A,B))),file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),[]).
%
% cnf(164705184,plain,($equal(set_intersection2(B,A),set_intersection2(A,B))),inference(rewrite,[status(thm)],[commutativity_k3_xboole_0]),[]).
%
% cnf(195889864,plain,(in(C,B)|~in(C,set_intersection2(B,A))),inference(resolution,[status(thm)],[164763064,164705184]),[]).
%
% fof(d1_xboole_0,plain,(((~$equal(empty_set,A)|~in(B,A))&($equal(empty_set,A)|in(b(A,B),A)))),file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),[]).
%
% cnf(164711136,plain,($equal(empty_set,A)|in(b(A,B),A)),inference(rewrite,[status(thm)],[d1_xboole_0]),[]).
%
% fof(d7_xboole_0,plain,(((~disjoint(A,B)|$equal(empty_set,set_intersection2(A,B)))&(disjoint(A,B)|~$equal(empty_set,set_intersection2(A,B))))),file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),[]).
%
% cnf(164775616,plain,(disjoint(A,B)|~$equal(empty_set,set_intersection2(A,B))),inference(rewrite,[status(thm)],[d7_xboole_0]),[]).
%
% cnf(195921816,plain,(in(b(set_intersection2(B,C),A),set_intersection2(B,C))|disjoint(B,C)),inference(resolution,[status(thm)],[164711136,164775616]),[]).
%
% cnf(164717760,plain,(~$equal(empty_set,A)|~in(B,A)),inference(rewrite,[status(thm)],[d1_xboole_0]),[]).
%
% cnf(194167632,plain,(~in(B,A)|in(b(A,C),A)),inference(resolution,[status(thm)],[164717760,164711136]),[]).
%
% cnf(164769328,plain,(in(D,C)|~in(D,A)|~in(D,B)|~$equal(set_intersection2(A,B),C)),inference(rewrite,[status(thm)],[d3_xboole_0]),[]).
%
% cnf(195897528,plain,(in(C,set_intersection2(B,A))|~in(C,A)|~in(C,B)),inference(resolution,[status(thm)],[164769328,164705184]),[]).
%
% fof(t3_xboole_0,plain,(((~disjoint(a,b)|~disjoint(a,b)|disjoint(a,b))&(~in(C,a)|~disjoint(a,b)|disjoint(a,b))&(~disjoint(a,b)|~in(C,b)|disjoint(a,b))&(~in(C,a)|~in(C,b)|disjoint(a,b))&(~disjoint(a,b)|~disjoint(a,b)|in(c(C),a))&(~in(C,a)|~disjoint(a,b)|in(c(C),a))&(~disjoint(a,b)|~in(C,b)|in(c(C),a))&(~in(C,a)|~in(C,b)|in(c(C),a))&(~disjoint(a,b)|~disjoint(a,b)|in(c(C),b))&(~in(C,a)|~disjoint(a,b)|in(c(C),b))&(~disjoint(a,b)|~in(C,b)|in(c(C),b))&(~in(C,a)|~in(C,b)|in(c(C),b)))),file('/tmp/SystemOnTPTP32008/SEU119+1.p',unknown),[]).
%
% cnf(165018104,plain,(~disjoint(a,b)|in(c(C),b)),inference(rewrite,[status(thm)],[t3_xboole_0]),[]).
%
% cnf(196546096,plain,(in(c(D),set_intersection2(A,b))|~in(c(D),A)|~disjoint(a,b)),inference(resolution,[status(thm)],[195897528,165018104]),[]).
%
% cnf(165038304,plain,(~disjoint(a,b)|in(c(C),a)),inference(rewrite,[status(thm)],[t3_xboole_0]),[]).
%
% cnf(196629112,plain,(in(c(C),set_intersection2(a,b))|~disjoint(a,b)),inference(resolution,[status(thm)],[196546096,165038304]),[]).
%
% cnf(227188856,plain,(in(b(set_intersection2(a,b),A),set_intersection2(a,b))),inference(forward_subsumption_resolution__resolution,[status(thm)],[195921816,194167632,196629112]),[]).
%
% cnf(235090912,plain,(in(b(set_intersection2(a,b),A),a)),inference(resolution,[status(thm)],[195889864,227188856]),[]).
%
% cnf(165042712,plain,(~in(C,a)|~in(C,b)|disjoint(a,b)),inference(rewrite,[status(thm)],[t3_xboole_0]),[]).
%
% cnf(164758768,plain,(in(D,A)|~in(D,C)|~$equal(set_intersection2(A,B),C)),inference(rewrite,[status(thm)],[d3_xboole_0]),[]).
%
% cnf(195885064,plain,(in(C,A)|~in(C,set_intersection2(B,A))),inference(resolution,[status(thm)],[164758768,164705184]),[]).
%
% cnf(235076136,plain,(in(b(set_intersection2(a,b),A),b)),inference(resolution,[status(thm)],[195885064,227188856]),[]).
%
% cnf(235275240,plain,(disjoint(a,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[235090912,165042712,235076136]),[]).
%
% cnf(164786352,plain,(~disjoint(A,B)|$equal(empty_set,set_intersection2(A,B))),inference(rewrite,[status(thm)],[d7_xboole_0]),[]).
%
% cnf(227183416,plain,(~disjoint(a,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164786352,164717760,196629112]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[235275240,227183416]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------