TSTP Solution File: SWV348-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV348-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2795MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% Result : Unsatisfiable 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
%
% Gandalf c-2.6 r1 starting to prove: /tmp/SystemOnTPTP23731/SWV/SWV348-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: medium
%
% strategies selected:
% (hyper 25 #f 8 11)
% (binary-unit 9 #f 8 11)
% (binary-double 9 #f 8 11)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 8 11)
% (binary-order 25 #f 8 11)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(21,40,0,42,0,0)
%
%
% START OF PROOF
% 24 [] c_in(X,c_^message_^oparts(Y),tc_^message_^omsg) | -c_in(X,Y,tc_^message_^omsg).
% 25 [] equal(c_^message_^oparts(c_^message_^oanalz(X)),c_^message_^oparts(X)).
% 26 [] -c_in(c_^message_^omsg_^o^m^pair(X,Y),c_^message_^oanalz(Z),tc_^message_^omsg) | c_in(Y,c_^message_^oanalz(Z),tc_^message_^omsg).
% 27 [] -c_in(c_^message_^omsg_^o^m^pair(X,Y),c_^message_^oanalz(Z),tc_^message_^omsg) | c_in(X,c_^message_^oanalz(Z),tc_^message_^omsg).
% 28 [] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(X)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,Y)),tc_^message_^omsg) | -c_in(Y,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)) | -c_in(X,c_^event_^obad,tc_^message_^oagent).
% 29 [] c_in(X,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,Y)),tc_^message_^omsg) | -c_in(c_^event_^oevent_^o^gets(Z,X),c_^list_^oset(Y,tc_^event_^oevent),tc_^event_^oevent) | -c_in(Y,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 30 [] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(U,V)))),W)),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^gets(c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^m^pair(U,V))))),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | -c_in(X1,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 31 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),Y),c_^message_^oanalz(Z),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(X)),c_^message_^oanalz(Z),tc_^message_^omsg) | c_in(Y,c_^message_^oanalz(Z),tc_^message_^omsg).
% 32 [] c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(Z),c_^message_^omsg_^o^m^pair(U,V)))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^key(Z))))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(Z),c_^message_^omsg_^o^m^pair(U,V)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,W)),tc_^message_^omsg) | -c_in(W,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 33 [] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(U),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(V),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(W),X1))))),c_^list_^oset(X2,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^gets(X3,c_^message_^omsg_^o^m^pair(X4,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X5),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X6),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(X7),X1))))),c_^list_^oset(X2,tc_^event_^oevent),tc_^event_^oevent) | c_in(X1,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,X2)),tc_^message_^omsg) | -c_in(X2,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)) | equal(X7,W).
% 35 [] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(Z),c_^message_^omsg_^o^m^pair(U,V)))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^key(Z))))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^notes(c_^message_^oagent_^o^spy,c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^m^pair(V,c_^message_^omsg_^o^key(Z)))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^message_^omsg_^o^key(Z),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,W)),tc_^message_^omsg) | -c_in(W,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent) | c_in(Y,c_^event_^obad,tc_^message_^oagent).
% 37 [] c_in(v_evs4,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 38 [] c_in(c_^event_^oevent_^o^gets(v_^aa,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))))),v_^x)),c_^list_^oset(v_evs4,tc_^event_^oevent),tc_^event_^oevent).
% 39 [] -c_in(c_^event_^oevent_^o^notes(c_^message_^oagent_^o^spy,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),X))),c_^list_^oset(v_evs4,tc_^event_^oevent),tc_^event_^oevent).
% 40 [] c_in(c_^event_^oevent_^o^says(v_^b,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^nonce(v_^n^b)))))),c_^list_^oset(v_evs4,tc_^event_^oevent),tc_^event_^oevent).
% 41 [] -c_in(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 42 [] c_in(c_^message_^omsg_^o^key(v_^k),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 50 [hyper:29,38,cut:37] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))))),v_^x),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 69 [hyper:27,50] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 78 [hyper:24,69,demod:25] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 82 [hyper:32,78,cut:37] c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,v_^aa,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^key(v_^k))))),c_^list_^oset(v_evs4,tc_^event_^oevent),tc_^event_^oevent) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 101 [hyper:30,82,cut:37] c_in(c_^event_^oevent_^o^gets(c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b)))))),c_^list_^oset(v_evs4,tc_^event_^oevent),tc_^event_^oevent) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 114 [hyper:29,101,cut:37] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 116 [hyper:33,101,40,cut:37,cut:41] c_in(v_^aa,c_^event_^obad,tc_^message_^oagent) | equal(v_^n^aa,v_^n^a).
% 124 [hyper:28,116,37] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^aa)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | equal(v_^n^aa,v_^n^a).
% 139 [hyper:26,114] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 147 [hyper:31,124,69] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | equal(v_^n^aa,v_^n^a).
% 282 [hyper:26,147] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | equal(v_^n^aa,v_^n^a).
% 285 [hyper:26,282] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | equal(v_^n^aa,v_^n^a).
% 293 [hyper:26,285,cut:41] equal(v_^n^aa,v_^n^a).
% 297 [para:293.1.1,78.1.1.2.2.2.1.1] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^nonce(v_^n^b))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 374 [hyper:32,297,cut:37] c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,v_^aa,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^nonce(v_^n^b))))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^key(v_^k))))),c_^list_^oset(v_evs4,tc_^event_^oevent),tc_^event_^oevent) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 629 [hyper:35,374,cut:42,cut:37,cut:39] c_in(v_^aa,c_^event_^obad,tc_^message_^oagent) | c_in(v_^ba,c_^event_^obad,tc_^message_^oagent).
% 633 [hyper:28,629,37] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^ba)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 653 [hyper:31,633,139] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 780 [hyper:26,653] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 822 [hyper:26,780,cut:41] c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 832 [hyper:28,822,37] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^aa)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 836 [hyper:31,832,69] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 849 [hyper:26,836] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 851 [hyper:26,849] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 854 [hyper:26,851,cut:41] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 11
% clause depth limited to 8
% seconds given: 25
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 247
% derived clauses: 1625
% kept clauses: 380
% kept size sum: 9353
% kept mid-nuclei: 290
% kept new demods: 3
% forw unit-subs: 313
% forw double-subs: 351
% forw overdouble-subs: 113
% backward subs: 148
% fast unit cutoff: 147
% full unit cutoff: 0
% dbl unit cutoff: 2
% real runtime : 0.7
% process. runtime: 0.5
% specific non-discr-tree subsumption statistics:
% tried: 685
% length fails: 17
% strength fails: 9
% predlist fails: 0
% aux str. fails: 18
% by-lit fails: 237
% full subs tried: 162
% full subs fail: 162
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP23731/SWV/SWV348-2+eq_r.in")
% Killed 1 orphans
%
%------------------------------------------------------------------------------