%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET705+4 : TPTP v3.4.2. Released v2.2.0.
% 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 15:36:09 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 22 ( 10 ~; 9 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 1 con; 0-3 aty)
% Number of variables : 14 ( 3 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(power_set,plain,
! [A,B] :
( ( ~ member(A,power_set(B))
| subset(A,B) )
& ( member(A,power_set(B))
| ~ subset(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET705+4.tptp',unknown),
[] ).
cnf(170782024,plain,
( member(A,power_set(B))
| ~ subset(A,B) ),
inference(rewrite,[status(thm)],[power_set]),
[] ).
fof(thI48,plain,
~ member(a,power_set(a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET705+4.tptp',unknown),
[] ).
cnf(170977984,plain,
~ member(a,power_set(a)),
inference(rewrite,[status(thm)],[thI48]),
[] ).
cnf(180200088,plain,
~ subset(a,a),
inference(resolution,[status(thm)],[170782024,170977984]),
[] ).
fof(subset,plain,
! [A,B,C] :
( ( ~ subset(A,B)
| ~ member(C,A)
| member(C,B) )
& ( ~ member(x(A,B,C),B)
| subset(A,B) )
& ( member(x(A,B,C),A)
| subset(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET705+4.tptp',unknown),
[] ).
cnf(170733952,plain,
( member(x(A,B,C),A)
| subset(A,B) ),
inference(rewrite,[status(thm)],[subset]),
[] ).
cnf(180252984,plain,
member(x(a,a,A),a),
inference(resolution,[status(thm)],[180200088,170733952]),
[] ).
cnf(170741008,plain,
( ~ member(x(A,B,C),B)
| subset(A,B) ),
inference(rewrite,[status(thm)],[subset]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[180252984,170741008,180200088]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(power_set,plain,(((~member(A,power_set(B))|subset(A,B))&(member(A,power_set(B))|~subset(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET705+4.tptp',unknown),[]).
%
% cnf(170782024,plain,(member(A,power_set(B))|~subset(A,B)),inference(rewrite,[status(thm)],[power_set]),[]).
%
% fof(thI48,plain,(~member(a,power_set(a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET705+4.tptp',unknown),[]).
%
% cnf(170977984,plain,(~member(a,power_set(a))),inference(rewrite,[status(thm)],[thI48]),[]).
%
% cnf(180200088,plain,(~subset(a,a)),inference(resolution,[status(thm)],[170782024,170977984]),[]).
%
% fof(subset,plain,(((~subset(A,B)|~member(C,A)|member(C,B))&(~member(x(A,B,C),B)|subset(A,B))&(member(x(A,B,C),A)|subset(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET705+4.tptp',unknown),[]).
%
% cnf(170733952,plain,(member(x(A,B,C),A)|subset(A,B)),inference(rewrite,[status(thm)],[subset]),[]).
%
% cnf(180252984,plain,(member(x(a,a,A),a)),inference(resolution,[status(thm)],[180200088,170733952]),[]).
%
% cnf(170741008,plain,(~member(x(A,B,C),B)|subset(A,B)),inference(rewrite,[status(thm)],[subset]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[180252984,170741008,180200088]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------