TSTP Solution File: SEU120+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU120+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 15:46:45 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 39 ( 18 ~; 16 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 9 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SystemOnTPTP9191/SEU120+1.p',unknown),
[] ).
cnf(158939344,plain,
( disjoint(A,B)
| ~ $equal(empty_set,set_intersection2(A,B)) ),
inference(rewrite,[status(thm)],[d7_xboole_0]),
[] ).
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/SystemOnTPTP9191/SEU120+1.p',unknown),
[] ).
cnf(158922176,plain,
( $equal(empty_set,A)
| in(b(A,B),A) ),
inference(rewrite,[status(thm)],[d1_xboole_0]),
[] ).
cnf(172242440,plain,
( disjoint(A,B)
| in(b(set_intersection2(A,B),C),set_intersection2(A,B)) ),
inference(resolution,[status(thm)],[158939344,158922176]),
[] ).
fof(t4_xboole_0,plain,
! [C] :
( ( disjoint(a,b)
| ~ disjoint(a,b) )
& ( in(c(C),set_intersection2(a,b))
| ~ disjoint(a,b) )
& ( disjoint(a,b)
| ~ in(C,set_intersection2(a,b)) )
& ( in(c(C),set_intersection2(a,b))
| ~ in(C,set_intersection2(a,b)) ) ),
file('/tmp/SystemOnTPTP9191/SEU120+1.p',unknown),
[] ).
cnf(159094800,plain,
( in(c(C),set_intersection2(a,b))
| ~ disjoint(a,b) ),
inference(rewrite,[status(thm)],[t4_xboole_0]),
[] ).
cnf(158928768,plain,
( ~ $equal(empty_set,A)
| ~ in(B,A) ),
inference(rewrite,[status(thm)],[d1_xboole_0]),
[] ).
cnf(172216376,plain,
( ~ in(B,A)
| in(b(A,C),A) ),
inference(resolution,[status(thm)],[158928768,158922176]),
[] ).
cnf(172911056,plain,
in(b(set_intersection2(a,b),D),set_intersection2(a,b)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172242440,159094800,172216376]),
[] ).
cnf(172872712,plain,
~ $equal(empty_set,set_intersection2(a,b)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[158939344,159094800,158928768]),
[] ).
cnf(158945968,plain,
( ~ disjoint(A,B)
| $equal(empty_set,set_intersection2(A,B)) ),
inference(rewrite,[status(thm)],[d7_xboole_0]),
[] ).
cnf(172953656,plain,
~ disjoint(a,b),
inference(resolution,[status(thm)],[172872712,158945968]),
[] ).
cnf(159089872,plain,
( disjoint(a,b)
| ~ in(C,set_intersection2(a,b)) ),
inference(rewrite,[status(thm)],[t4_xboole_0]),
[] ).
cnf(173013424,plain,
~ in(C,set_intersection2(a,b)),
inference(resolution,[status(thm)],[172953656,159089872]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[172911056,173013424]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d7_xboole_0,plain,(((~disjoint(A,B)|$equal(empty_set,set_intersection2(A,B)))&(disjoint(A,B)|~$equal(empty_set,set_intersection2(A,B))))),file('/tmp/SystemOnTPTP9191/SEU120+1.p',unknown),[]).
%
% cnf(158939344,plain,(disjoint(A,B)|~$equal(empty_set,set_intersection2(A,B))),inference(rewrite,[status(thm)],[d7_xboole_0]),[]).
%
% fof(d1_xboole_0,plain,(((~$equal(empty_set,A)|~in(B,A))&($equal(empty_set,A)|in(b(A,B),A)))),file('/tmp/SystemOnTPTP9191/SEU120+1.p',unknown),[]).
%
% cnf(158922176,plain,($equal(empty_set,A)|in(b(A,B),A)),inference(rewrite,[status(thm)],[d1_xboole_0]),[]).
%
% cnf(172242440,plain,(disjoint(A,B)|in(b(set_intersection2(A,B),C),set_intersection2(A,B))),inference(resolution,[status(thm)],[158939344,158922176]),[]).
%
% fof(t4_xboole_0,plain,(((disjoint(a,b)|~disjoint(a,b))&(in(c(C),set_intersection2(a,b))|~disjoint(a,b))&(disjoint(a,b)|~in(C,set_intersection2(a,b)))&(in(c(C),set_intersection2(a,b))|~in(C,set_intersection2(a,b))))),file('/tmp/SystemOnTPTP9191/SEU120+1.p',unknown),[]).
%
% cnf(159094800,plain,(in(c(C),set_intersection2(a,b))|~disjoint(a,b)),inference(rewrite,[status(thm)],[t4_xboole_0]),[]).
%
% cnf(158928768,plain,(~$equal(empty_set,A)|~in(B,A)),inference(rewrite,[status(thm)],[d1_xboole_0]),[]).
%
% cnf(172216376,plain,(~in(B,A)|in(b(A,C),A)),inference(resolution,[status(thm)],[158928768,158922176]),[]).
%
% cnf(172911056,plain,(in(b(set_intersection2(a,b),D),set_intersection2(a,b))),inference(forward_subsumption_resolution__resolution,[status(thm)],[172242440,159094800,172216376]),[]).
%
% cnf(172872712,plain,(~$equal(empty_set,set_intersection2(a,b))),inference(forward_subsumption_resolution__resolution,[status(thm)],[158939344,159094800,158928768]),[]).
%
% cnf(158945968,plain,(~disjoint(A,B)|$equal(empty_set,set_intersection2(A,B))),inference(rewrite,[status(thm)],[d7_xboole_0]),[]).
%
% cnf(172953656,plain,(~disjoint(a,b)),inference(resolution,[status(thm)],[172872712,158945968]),[]).
%
% cnf(159089872,plain,(disjoint(a,b)|~in(C,set_intersection2(a,b))),inference(rewrite,[status(thm)],[t4_xboole_0]),[]).
%
% cnf(173013424,plain,(~in(C,set_intersection2(a,b))),inference(resolution,[status(thm)],[172953656,159089872]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[172911056,173013424]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------