%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET044-5 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 15:25:20 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_1,plain,
! [A] :
( ~ element(A,a)
| element(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET044-5.tptp',unknown),
[] ).
cnf(158188280,plain,
( ~ element(A,a)
| element(A,A) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_4,plain,
! [A,B] :
( element(A,B)
| element(A,f(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET044-5.tptp',unknown),
[] ).
cnf(158205680,plain,
( element(A,B)
| element(A,f(B)) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(173809736,plain,
( element(A,A)
| element(A,f(a)) ),
inference(resolution,[status(thm)],[158188280,158205680]),
[] ).
fof(clause_2,plain,
! [A] :
( ~ element(A,A)
| element(A,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET044-5.tptp',unknown),
[] ).
cnf(158193936,plain,
( ~ element(A,A)
| element(A,a) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(173853408,plain,
element(f(a),a),
inference(resolution,[status(thm)],[173809736,158193936]),
[] ).
cnf(173862888,plain,
element(f(a),f(a)),
inference(resolution,[status(thm)],[173853408,158188280]),
[] ).
fof(clause_3,plain,
! [A,B] :
( ~ element(A,f(B))
| ~ element(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET044-5.tptp',unknown),
[] ).
cnf(158199224,plain,
( ~ element(A,f(B))
| ~ element(A,B) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[173862888,158199224,173853408]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_1,plain,(~element(A,a)|element(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET044-5.tptp',unknown),[]).
%
% cnf(158188280,plain,(~element(A,a)|element(A,A)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_4,plain,(element(A,B)|element(A,f(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET044-5.tptp',unknown),[]).
%
% cnf(158205680,plain,(element(A,B)|element(A,f(B))),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(173809736,plain,(element(A,A)|element(A,f(a))),inference(resolution,[status(thm)],[158188280,158205680]),[]).
%
% fof(clause_2,plain,(~element(A,A)|element(A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET044-5.tptp',unknown),[]).
%
% cnf(158193936,plain,(~element(A,A)|element(A,a)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(173853408,plain,(element(f(a),a)),inference(resolution,[status(thm)],[173809736,158193936]),[]).
%
% cnf(173862888,plain,(element(f(a),f(a))),inference(resolution,[status(thm)],[173853408,158188280]),[]).
%
% fof(clause_3,plain,(~element(A,f(B))|~element(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET044-5.tptp',unknown),[]).
%
% cnf(158199224,plain,(~element(A,f(B))|~element(A,B)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173862888,158199224,173853408]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------