TSTP Solution File: SWV011+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV011+1 : TPTP v3.4.2. Released v2.4.0.
% 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 16:19:51 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ax3,plain,
a_holds(key(generate_key(an_a_nonce),b)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011+1.tptp',unknown),
[] ).
cnf(160453304,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(rewrite,[status(thm)],[ax3]),
[] ).
fof(co1,plain,
! [A] :
( ~ a_holds(key(A,b))
| ~ b_holds(key(A,a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011+1.tptp',unknown),
[] ).
cnf(160517512,plain,
( ~ a_holds(key(A,b))
| ~ b_holds(key(A,a)) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
fof(ax1,plain,
b_holds(key(generate_key(an_a_nonce),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011+1.tptp',unknown),
[] ).
cnf(160440576,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(rewrite,[status(thm)],[ax1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[160453304,160517512,160440576]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ax3,plain,(a_holds(key(generate_key(an_a_nonce),b))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011+1.tptp',unknown),[]).
%
% cnf(160453304,plain,(a_holds(key(generate_key(an_a_nonce),b))),inference(rewrite,[status(thm)],[ax3]),[]).
%
% fof(co1,plain,(~a_holds(key(A,b))|~b_holds(key(A,a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011+1.tptp',unknown),[]).
%
% cnf(160517512,plain,(~a_holds(key(A,b))|~b_holds(key(A,a))),inference(rewrite,[status(thm)],[co1]),[]).
%
% fof(ax1,plain,(b_holds(key(generate_key(an_a_nonce),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011+1.tptp',unknown),[]).
%
% cnf(160440576,plain,(b_holds(key(generate_key(an_a_nonce),a))),inference(rewrite,[status(thm)],[ax1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[160453304,160517512,160440576]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------