%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET046-5 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 15:25:29 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_2,plain,
! [A] :
( element(A,f(A))
| element(A,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET046-5.tptp',unknown),
[] ).
cnf(171528472,plain,
( element(A,f(A))
| element(A,a) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
fof(clause_1,plain,
! [A,B] :
( ~ element(A,a)
| ~ element(A,B)
| ~ element(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET046-5.tptp',unknown),
[] ).
cnf(171522096,plain,
( ~ element(A,a)
| ~ element(A,B)
| ~ element(B,A) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(184530432,plain,
element(a,f(a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171528472,171522096,171528472]),
[] ).
cnf(184621168,plain,
~ element(f(a),a),
inference(resolution,[status(thm)],[184530432,171522096]),
[] ).
fof(clause_3,plain,
! [A] :
( element(f(A),A)
| element(A,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET046-5.tptp',unknown),
[] ).
cnf(171534048,plain,
( element(f(A),A)
| element(A,a) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(184639856,plain,
element(a,a),
inference(resolution,[status(thm)],[184621168,171534048]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[184639856,184639856,171522096]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_2,plain,(element(A,f(A))|element(A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET046-5.tptp',unknown),[]).
%
% cnf(171528472,plain,(element(A,f(A))|element(A,a)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% fof(clause_1,plain,(~element(A,a)|~element(A,B)|~element(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET046-5.tptp',unknown),[]).
%
% cnf(171522096,plain,(~element(A,a)|~element(A,B)|~element(B,A)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(184530432,plain,(element(a,f(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[171528472,171522096,171528472]),[]).
%
% cnf(184621168,plain,(~element(f(a),a)),inference(resolution,[status(thm)],[184530432,171522096]),[]).
%
% fof(clause_3,plain,(element(f(A),A)|element(A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET046-5.tptp',unknown),[]).
%
% cnf(171534048,plain,(element(f(A),A)|element(A,a)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(184639856,plain,(element(a,a)),inference(resolution,[status(thm)],[184621168,171534048]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[184639856,184639856,171522096]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------