Santiago:prototype-20111114 santiago$ examples/nsl-command Mon Nov 14 00:12:59 CET 2011 \||||||||||||||||||/ --- Welcome to Maude --- /||||||||||||||||||\ Maude 2.6 built: Dec 10 2010 11:12:39 Copyright 1997-2010 SRI International Mon Nov 14 00:12:59 2011 Maude> Maude-NPA Version: 11/14/2011 Copyright (c) 2011, University of Illinois All rights reserved. ========================================== reduce in MAUDE-NPA : genGrammars . rewrites: 7974742 in 25966ms cpu (27044ms real) (307113 rewrites/second) result GrammarList: ( grl #0:Msg inL => pk(#1:Name, #0:Msg) inL . ; grl #0:Msg inL => sk(#1:Key, #0:Msg) inL . ; grl #0:Msg inL => (#0:Msg ; #1:Msg) inL . ; grl #0:Msg inL => (#1:Msg ; #0:Msg) inL . ; grl #0:Msg notInI, #0:Msg notLeq n(#1:Name, #2:Fresh) => (#0:Msg ; #3:Msg) inL . ; grl #0:Msg notInI, #0:Msg notLeq n(#1:Name, #2:Fresh) => (#3:Name ; #0:Msg) inL .) | ( grl #0:Msg inL => pk(#1:Name, #0:Msg) inL . ; grl #0:Msg inL => sk(#1:Key, #0:Msg) inL . ; grl #0:Msg inL => (#0:Msg ; #1:Msg) inL . ; grl #0:Msg inL => (#1:Msg ; #0:Msg) inL . ; grl #0:Msg notInI, (#0:Msg notLeq n(#1:Name, #2:Fresh)), #0:Msg notLeq n(#3:Name, #4:Fresh) ; #3:Name => (#5:Msg ; #0:Msg) inL .) | (errorNoHeuristicApplied { grl empty => (#1:Msg ; #2:Msg) inL .,none, grl empty => (#1:Msg,#2:Msg) inL .,none, grl empty => (#1:Msg,#2:Msg) inL .} usingGrammar grl empty => (#1:Msg ; #2:Msg) inL .) | (errorInconsistentExceptionsInGrammarRule grl n(#0:Name, #1:Fresh) notLeq #1:Nonce => n(#0:Name, #1:Fresh) inL . inGrammar grl #0:Msg inL => sk(#1:Key, #0:Msg) inL . ; grl #0:Msg inL => (#0:Msg ; #1:Msg) inL . ; grl #0:Msg inL => (#1:Msg ; #0:Msg) inL . ; grl #5:Msg inL => pk(#3:Name, #5:Msg) inL . ; grl n(#0:Name, #1:Fresh) notLeq #1:Nonce => n(#0:Name, #1:Fresh) inL .) | (errorNoHeuristicApplied { grl #50:Key notInI => pk(#50:Key, #60:Msg) inL .,none, grl #50:Key notInI => #60:Msg inL .,none, grl #50:Key notInI => #60:Msg inL .} usingGrammar grl #50:Key notInI => pk(#50:Key, #60:Msg) inL .) | ( grl #0:Msg inL => pk(#1:Name, #0:Msg) inL . ; grl #0:Msg inL => sk(#1:Key, #0:Msg) inL . ; grl #0:Msg inL => (#0:Msg ; #1:Msg) inL . ; grl #0:Msg inL => (#1:Msg ; #0:Msg) inL . ; grl #0:Msg notInI, (#0:Msg notLeq #1:Nonce), (#0:Msg notLeq #2:Name ; n(#2:Name, #3:Fresh)), #0:Msg notLeq #4:Nonce ; n(#5:Name, #6:Fresh) ; #5:Name => pk(#7:Key, #0:Msg) inL .) | (errorNoHeuristicApplied { grl empty => pk(#1:Key, #2:Msg) inL .,none, grl empty => #2:Msg inL .,none, grl empty => #2:Msg inL .} usingGrammar grl empty => pk(#1:Key, #2:Msg) inL .) | ( grl #0:Msg inL => pk(#1:Name, #0:Msg) inL . ; grl #0:Msg inL => sk(#1:Key, #0:Msg) inL . ; grl #0:Msg inL => (#0:Msg ; #1:Msg) inL . ; grl #0:Msg inL => (#1:Msg ; #0:Msg) inL . ; grl #0:Key notInI => sk(#0:Key, #1:Msg) inL .) | ( grl #0:Msg inL => pk(#1:Name, #0:Msg) inL . ; grl #0:Msg inL => sk(#1:Key, #0:Msg) inL . ; grl #0:Msg inL => (#0:Msg ; #1:Msg) inL . ; grl #0:Msg inL => (#1:Msg ; #0:Msg) inL . ; grl #0:Msg notInI => sk(#1:Key, #0:Msg) inL .) | grl #0:Msg inL => pk(#1:Name, #0:Msg) inL . ; grl #0:Msg inL => sk(#1:Key, #0:Msg) inL . ; grl #0:Msg inL => (#0:Msg ; #1:Msg) inL . ; grl #0:Msg inL => (#1:Msg ; #0:Msg) inL . ; grl sk(#0:Key, #1:Msg) notLeq sk(i, #2:Msg) => sk(#0:Key, #1:Msg) inL . ========================================== reduce in MAUDE-NPA : run(0) . rewrites: 2501 in 52ms cpu (55ms real) (48039 rewrites/second) result IdSystem: < 1 > :: r:Fresh :: [ nil, -(pk(b, a ; N:Nonce)), +(pk(a, N:Nonce ; n(b, r:Fresh) ; b)), -(pk(b, n(b, r:Fresh))) | nil] || n(b, r:Fresh) inI || nil || nil || nil ========================================== reduce in MAUDE-NPA : summary(1) . rewrites: 868779 in 2305ms cpu (2389ms real) (376863 rewrites/second) result Summary: States>> 4 Solutions>> 0 ========================================== reduce in MAUDE-NPA : summary(2) . rewrites: 1780642 in 4593ms cpu (4811ms real) (387659 rewrites/second) result Summary: States>> 7 Solutions>> 0 ========================================== reduce in MAUDE-NPA : summary(3) . rewrites: 3269313 in 8778ms cpu (9132ms real) (372441 rewrites/second) result Summary: States>> 6 Solutions>> 0 ========================================== reduce in MAUDE-NPA : summary(4) . rewrites: 2636183 in 7251ms cpu (7544ms real) (363558 rewrites/second) result Summary: States>> 2 Solutions>> 0 ========================================== reduce in MAUDE-NPA : summary(5) . rewrites: 642339 in 1901ms cpu (1981ms real) (337834 rewrites/second) result Summary: States>> 0 Solutions>> 0 ========================================== reduce in MAUDE-NPA : run(1) . rewrites: 18 in 0ms cpu (0ms real) (18000000 rewrites/second) result IdSystemSet: (< 1 . 2 > ( :: nil :: [ nil | -(pk(i, n(b, #0:Fresh))), +(n(b, #0:Fresh)), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #1:Nonce)), +(pk(a, #1:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] ) || n(b, #0:Fresh) !inI, pk(b, n(b, #0:Fresh)) inI, pk(i, n(b, #0:Fresh)) inI || -(pk(i, n(b, #0:Fresh))), +(n(b, #0:Fresh)), -(pk(b, n(b, #0:Fresh))) || nil || nil) (< 1 . 5 > ( :: nil :: [ nil | -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #1:Nonce)), +(pk(a, #1:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] ) || pk(b, n(b, #0:Fresh)) !inI, n(b, #0:Fresh) inI || -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), -(pk(b, n(b, #0:Fresh))) || nil || nil) (< 1 . 7 > ( :: nil :: [ nil | -(#0:Msg ; n(b, #1:Fresh)), +(n(b, #1:Fresh)), nil] & :: #1:Fresh :: [ nil, -(pk(b, a ; #2:Nonce)), +(pk(a, #2:Nonce ; n(b, #1:Fresh) ; b)) | -(pk(b, n(b, #1:Fresh))), nil] ) || n(b, #1:Fresh) !inI, pk(b, n(b, #1:Fresh)) inI, (#0:Msg ; n(b, #1:Fresh)) inI || -(#0:Msg ; n(b, #1:Fresh)), +(n(b, #1:Fresh)), -(pk(b, n(b, #1:Fresh))) || nil || nil) < 1 . 9 > ( :: nil :: [ nil | -(n(b, #0:Fresh) ; #1:Msg), +(n(b, #0:Fresh)), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #2:Nonce)), +(pk(a, #2:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] ) || n(b, #0:Fresh) !inI, pk(b, n(b, #0:Fresh)) inI, (n(b, #0:Fresh) ; #1:Msg) inI || -(n(b, #0:Fresh) ; #1:Msg), +(n(b, #0:Fresh)), -(pk(b, n(b, #0:Fresh))) || nil || nil ========================================== reduce in MAUDE-NPA : run(2) . rewrites: 18 in 0ms cpu (0ms real) (18000000 rewrites/second) result IdSystemSet: (< 1 . 2 . 9 > ( :: nil :: [ nil | -(pk(i, n(b, #0:Fresh))), +(n(b, #0:Fresh)), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #1:Nonce)), +(pk(a, #1:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] & :: #2:Fresh :: [ nil, +(pk(i, #3:Name ; n(#3:Name, #2:Fresh))) | -(pk(#3:Name, n(#3:Name, #2:Fresh) ; n(b, #0:Fresh) ; i)), +(pk(i, n(b, #0:Fresh))), nil] ) || pk(i, n(b, #0:Fresh)) !inI, n(b, #0:Fresh) !inI, pk(b, n(b, #0:Fresh)) inI, pk(#3:Name, n(#3:Name, #2:Fresh) ; n(b, #0:Fresh) ; i) inI || -(pk(#3:Name, n(#3:Name, #2:Fresh) ; n(b, #0:Fresh) ; i)), +(pk(i, n(b, #0:Fresh))), -(pk(i, n(b, #0:Fresh))), +(n(b, #0:Fresh)), -(pk(b, n(b, #0:Fresh))) || nil || nil) (< 1 . 5 . 2 > ( :: nil :: [ nil | -(pk(i, n(b, #0:Fresh))), +(n(b, #0:Fresh)), nil] & :: nil :: [ nil | -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #1:Nonce)), +(pk(a, #1:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] ) || pk(b, n(b, #0:Fresh)) !inI, n(b, #0:Fresh) !inI, pk(i, n(b, #0:Fresh)) inI || -(pk(i, n(b, #0:Fresh))), +(n(b, #0:Fresh)), -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), -(pk(b, n(b, #0:Fresh))) || nil || nil) (< 1 . 5 . 4 > ( :: nil :: [ nil | -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), nil] & :: nil :: [ nil | -(n(b, #0:Fresh) ; #1:Msg), +(n(b, #0:Fresh)), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #2:Nonce)), +(pk(a, #2:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] ) || pk(b, n(b, #0:Fresh)) !inI, n(b, #0:Fresh) !inI, (n(b, #0:Fresh) ; #1:Msg) inI || -(n(b, #0:Fresh) ; #1:Msg), +(n(b, #0:Fresh)), -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), -(pk(b, n(b, #0:Fresh))) || nil || nil) (< 1 . 5 . 5 > ( :: nil :: [ nil | -(n(b, #1:Fresh)), +(pk(b, n(b, #1:Fresh))), nil] & :: nil :: [ nil | -(#0:Msg ; n(b, #1:Fresh)), +(n(b, #1:Fresh)), nil] & :: #1:Fresh :: [ nil, -(pk(b, a ; #2:Nonce)), +(pk(a, #2:Nonce ; n(b, #1:Fresh) ; b)) | -(pk(b, n(b, #1:Fresh))), nil] ) || pk(b, n(b, #1:Fresh)) !inI, n(b, #1:Fresh) !inI, (#0:Msg ; n(b, #1:Fresh)) inI || -(#0:Msg ; n(b, #1:Fresh)), +(n(b, #1:Fresh)), -(n(b, #1:Fresh)), +(pk(b, n(b, #1:Fresh))), -(pk(b, n(b, #1:Fresh))) || nil || nil) (< 1 . 7 . 4 > ( :: nil :: [ nil | -(pk(i, #0:Msg ; n(b, #1:Fresh))), +(#0:Msg ; n(b, #1:Fresh)), nil] & :: nil :: [ nil | -(#0:Msg ; n(b, #1:Fresh)), +(n(b, #1:Fresh)), nil] & :: #1:Fresh :: [ nil, -(pk(b, a ; #2:Nonce)), +(pk(a, #2:Nonce ; n(b, #1:Fresh) ; b)) | -(pk(b, n(b, #1:Fresh))), nil] ) || n(b, #1:Fresh) !inI, (#0:Msg ; n(b, #1:Fresh)) !inI, pk(b, n(b, #1:Fresh)) inI, pk(i, #0:Msg ; n(b, #1:Fresh)) inI || -(pk(i, #0:Msg ; n(b, #1:Fresh))), +(#0:Msg ; n(b, #1:Fresh)), -(#0:Msg ; n(b, #1:Fresh)), +(n(b, #1:Fresh)), -(pk(b, n(b, #1:Fresh))) || nil || nil) (< 1 . 9 . 3 > ( :: nil :: [ nil | -(pk(i, n(b, #0:Fresh) ; #1:Msg)), +(n(b, #0:Fresh) ; #1:Msg), nil] & :: nil :: [ nil | -(n(b, #0:Fresh) ; #1:Msg), +(n(b, #0:Fresh)), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #2:Nonce)), +(pk(a, #2:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] ) || n(b, #0:Fresh) !inI, (n(b, #0:Fresh) ; #1:Msg) !inI, pk(b, n(b, #0:Fresh)) inI, pk(i, n(b, #0:Fresh) ; #1:Msg) inI || -(pk(i, n(b, #0:Fresh) ; #1:Msg)), +(n(b, #0:Fresh) ; #1:Msg), -(n(b, #0:Fresh) ; #1:Msg), +(n(b, #0:Fresh)), -(pk(b, n(b, #0:Fresh))) || nil || nil) < 1 . 9 . 9 > ( :: nil :: [ nil | -(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh) ; #2:Msg), nil] & :: nil :: [ nil | -(n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh)), nil] & :: #1:Fresh :: [ nil, -(pk(b, a ; #3:Nonce)), +(pk(a, #3:Nonce ; n(b, #1:Fresh) ; b)) | -(pk(b, n(b, #1:Fresh))), nil] ) || n(b, #1:Fresh) !inI, (n(b, #1:Fresh) ; #2:Msg) !inI, pk(b, n(b, #1:Fresh)) inI, (#0:Msg ; n(b, #1:Fresh) ; #2:Msg) inI || -(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh) ; #2:Msg), -(n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh)), -(pk(b, n(b, #1:Fresh))) || nil || nil ========================================== reduce in MAUDE-NPA : run(3) . rewrites: 18 in 0ms cpu (0ms real) (18000000 rewrites/second) result IdSystemSet: (< 1 . 5 . 2 . 5 > ( :: nil :: [ nil | -(pk(i, n(b, #0:Fresh))), +(n(b, #0:Fresh)), nil] & :: nil :: [ nil | -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #1:Nonce)), +(pk(a, #1:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] & :: #2:Fresh :: [ nil, +(pk(i, #3:Name ; n(#3:Name, #2:Fresh))) | -(pk(#3:Name, n(#3:Name, #2:Fresh) ; n(b, #0:Fresh) ; i)), +(pk(i, n(b, #0:Fresh))), nil] ) || pk(b, n(b, #0:Fresh)) !inI, pk(i, n(b, #0:Fresh)) !inI, n(b, #0:Fresh) !inI, pk(#3:Name, n(#3:Name, #2:Fresh) ; n(b, #0:Fresh) ; i) inI || -(pk(#3:Name, n(#3:Name, #2:Fresh) ; n(b, #0:Fresh) ; i)), +(pk(i, n(b, #0:Fresh))), -(pk(i, n(b, #0:Fresh))), +(n(b, #0:Fresh)), -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), -(pk(b, n(b, #0:Fresh))) || nil || nil) (< 1 . 5 . 4 . 2 > ( :: nil :: [ nil | -(pk(i, n(b, #0:Fresh) ; #1:Msg)), +(n(b, #0:Fresh) ; #1:Msg), nil] & :: nil :: [ nil | -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), nil] & :: nil :: [ nil | -(n(b, #0:Fresh) ; #1:Msg), +(n(b, #0:Fresh)), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #2:Nonce)), +(pk(a, #2:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] ) || pk(b, n(b, #0:Fresh)) !inI, n(b, #0:Fresh) !inI, (n(b, #0:Fresh) ; #1:Msg) !inI, pk(i, n(b, #0:Fresh) ; #1:Msg) inI || -(pk(i, n(b, #0:Fresh) ; #1:Msg)), +(n(b, #0:Fresh) ; #1:Msg), -(n(b, #0:Fresh) ; #1:Msg), +(n(b, #0:Fresh)), -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), -(pk(b, n(b, #0:Fresh))) || nil || nil) (< 1 . 5 . 4 . 6 > ( :: nil :: [ nil | -(n(b, #1:Fresh)), +(pk(b, n(b, #1:Fresh))), nil] & :: nil :: [ nil | -(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh) ; #2:Msg), nil] & :: nil :: [ nil | -(n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh)), nil] & :: #1:Fresh :: [ nil, -(pk(b, a ; #3:Nonce)), +(pk(a, #3:Nonce ; n(b, #1:Fresh) ; b)) | -(pk(b, n(b, #1:Fresh))), nil] ) || pk(b, n(b, #1:Fresh)) !inI, n(b, #1:Fresh) !inI, (n(b, #1:Fresh) ; #2:Msg) !inI, (#0:Msg ; n(b, #1:Fresh) ; #2:Msg) inI || -(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh) ; #2:Msg), -(n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh)), -(n(b, #1:Fresh)), +(pk(b, n(b, #1:Fresh))), -(pk(b, n(b, #1:Fresh))) || nil || nil) (< 1 . 5 . 5 . 3 > ( :: nil :: [ nil | -(pk(i, #0:Msg ; n(b, #1:Fresh))), +(#0:Msg ; n(b, #1:Fresh)), nil] & :: nil :: [ nil | -(n(b, #1:Fresh)), +(pk(b, n(b, #1:Fresh))), nil] & :: nil :: [ nil | -(#0:Msg ; n(b, #1:Fresh)), +(n(b, #1:Fresh)), nil] & :: #1:Fresh :: [ nil, -(pk(b, a ; #2:Nonce)), +(pk(a, #2:Nonce ; n(b, #1:Fresh) ; b)) | -(pk(b, n(b, #1:Fresh))), nil] ) || pk(b, n(b, #1:Fresh)) !inI, n(b, #1:Fresh) !inI, (#0:Msg ; n(b, #1:Fresh)) !inI, pk(i, #0:Msg ; n(b, #1:Fresh)) inI || -(pk(i, #0:Msg ; n(b, #1:Fresh))), +(#0:Msg ; n(b, #1:Fresh)), -(#0:Msg ; n(b, #1:Fresh)), +(n(b, #1:Fresh)), -(n(b, #1:Fresh)), +(pk(b, n(b, #1:Fresh))), -(pk(b, n(b, #1:Fresh))) || nil || nil) (< 1 . 9 . 3 . 9 > ( :: nil :: [ nil | -(pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name)), +(n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name), nil] & :: nil :: [ nil | -(n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name), +(n(b, #0:Fresh)), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #1:Nonce)), +(pk(a, #1:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] & :: #2:Fresh :: [ nil | -(pk(#3:Name, i ; n(b, #0:Fresh))), +(pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name)), nil] ) || pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name) !inI, n(b, #0:Fresh) !inI, (n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name) !inI, pk(b, n(b, #0:Fresh)) inI, pk(#3:Name, i ; n(b, #0:Fresh)) inI || -(pk(#3:Name, i ; n(b, #0:Fresh))), +(pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name)), -(pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name)), +(n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name), -(n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name), +(n(b, #0:Fresh)), -(pk(b, n(b, #0:Fresh))) || nil || nil) < 1 . 9 . 9 . 4 > ( :: nil :: [ nil | -(pk(i, #0:Msg ; n(b, #1:Fresh) ; #2:Msg)), +(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), nil] & :: nil :: [ nil | -(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh) ; #2:Msg), nil] & :: nil :: [ nil | -(n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh)), nil] & :: #1:Fresh :: [ nil, -(pk(b, a ; #3:Nonce)), +(pk(a, #3:Nonce ; n(b, #1:Fresh) ; b)) | -(pk(b, n(b, #1:Fresh))), nil] ) || n(b, #1:Fresh) !inI, (#0:Msg ; n(b, #1:Fresh) ; #2:Msg) !inI, (n(b, #1:Fresh) ; #2:Msg) !inI, pk(b, n(b, #1:Fresh)) inI, pk(i, #0:Msg ; n(b, #1:Fresh) ; #2:Msg) inI || -(pk(i, #0:Msg ; n(b, #1:Fresh) ; #2:Msg)), +(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), -(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh) ; #2:Msg), -(n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh)), -(pk(b, n(b, #1:Fresh))) || nil || nil ========================================== reduce in MAUDE-NPA : run(4) . rewrites: 18 in 0ms cpu (0ms real) (18000000 rewrites/second) result IdSystemSet: (< 1 . 5 . 4 . 2 . 5 > ( :: nil :: [ nil | -(pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name)), +(n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name), nil] & :: nil :: [ nil | -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), nil] & :: nil :: [ nil | -(n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name), +(n(b, #0:Fresh)), nil] & :: #0:Fresh :: [ nil, -(pk(b, a ; #1:Nonce)), +(pk(a, #1:Nonce ; n(b, #0:Fresh) ; b)) | -(pk(b, n(b, #0:Fresh))), nil] & :: #2:Fresh :: [ nil | -(pk(#3:Name, i ; n(b, #0:Fresh))), +(pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name)), nil] ) || pk(b, n(b, #0:Fresh)) !inI, pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name) !inI, n(b, #0:Fresh) !inI, (n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name) !inI, pk(#3:Name, i ; n(b, #0:Fresh)) inI || -(pk(#3:Name, i ; n(b, #0:Fresh))), +(pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name)), -(pk(i, n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name)), +(n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name), -(n(b, #0:Fresh) ; n(#3:Name, #2:Fresh) ; #3:Name), +(n(b, #0:Fresh)), -(n(b, #0:Fresh)), +(pk(b, n(b, #0:Fresh))), -(pk(b, n(b, #0:Fresh))) || nil || nil) < 1 . 5 . 4 . 6 . 3 > ( :: nil :: [ nil | -(pk(i, #0:Msg ; n(b, #1:Fresh) ; #2:Msg)), +(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), nil] & :: nil :: [ nil | -(n(b, #1:Fresh)), +(pk(b, n(b, #1:Fresh))), nil] & :: nil :: [ nil | -(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh) ; #2:Msg), nil] & :: nil :: [ nil | -(n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh)), nil] & :: #1:Fresh :: [ nil, -(pk(b, a ; #3:Nonce)), +(pk(a, #3:Nonce ; n(b, #1:Fresh) ; b)) | -(pk(b, n(b, #1:Fresh))), nil] ) || pk(b, n(b, #1:Fresh)) !inI, n(b, #1:Fresh) !inI, (#0:Msg ; n(b, #1:Fresh) ; #2:Msg) !inI, (n(b, #1:Fresh) ; #2:Msg) !inI, pk(i, #0:Msg ; n(b, #1:Fresh) ; #2:Msg) inI || -(pk(i, #0:Msg ; n(b, #1:Fresh) ; #2:Msg)), +(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), -(#0:Msg ; n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh) ; #2:Msg), -(n(b, #1:Fresh) ; #2:Msg), +(n(b, #1:Fresh)), -(n(b, #1:Fresh)), +(pk(b, n(b, #1:Fresh))), -(pk(b, n(b, #1:Fresh))) || nil || nil ========================================== reduce in MAUDE-NPA : run(5) . rewrites: 18 in 0ms cpu (0ms real) (18000000 rewrites/second) result IdSystemSet: (empty).IdSystemSet Maude> Bye. Mon Nov 14 00:13:54 CET 2011 Santiago:prototype-20111114 santiago$