TSTP Solution File: SWV303-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV303-2 : 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 : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% Result : Unsatisfiable 99.8s
% Output : Assurance 99.8s
% 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/SystemOnTPTP10882/SWV/SWV303-2+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 11 9)
% (binary-unit 9 #f 11 9)
% (binary-double 9 #f 11 9)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 11 9)
% (binary-order 25 #f 11 9)
% (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(19,40,0,38,0,0,243,50,1,262,0,1,528,50,2,547,0,2,813,50,3,832,0,3,1098,50,4,1117,0,4,1383,50,5,1402,0,5,1668,50,6,1687,0,6,1953,50,8,1972,0,8,2238,50,9,2257,0,9,2523,50,10,2542,0,10,2808,50,12,2827,0,12,3093,50,13,3093,40,13,3112,0,13,3191,50,14,3210,0,14,3902,50,18,3921,0,18,4613,50,24,4632,0,24,5324,50,30,5343,0,30,6035,50,37,6054,0,37,6746,50,44,6765,0,44,7457,50,49,7476,0,49,8168,50,55,8187,0,55,8879,50,60,8898,0,60,9590,50,65,9609,0,66,10301,50,71,10301,40,71,10320,0,71,37334,3,522,42580,4,747,42768,5,985,42769,1,986,42769,50,988,42769,40,988,42788,0,988,100541,3,1741,122114,4,2115,127622,5,2492,127623,5,2493,127623,1,2493,127623,50,2496,127623,40,2496,127642,0,2496,169934,3,3248,184886,4,3622,195147,1,3997,195147,50,3999,195147,40,3999,195166,0,3999,308333,3,6504,309165,4,7750,309978,1,9000,309978,50,9001,309978,40,9001,309997,0,9001)
%
%
% START OF PROOF
% 309979 [] equal(X,X).
% 309980 [] c_in(X,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,Y)),tc_^message_^omsg) | -c_in(c_^event_^oevent_^o^says(Z,U,X),c_^list_^oset(Y,tc_^event_^oevent),tc_^event_^oevent).
% 309981 [] -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).
% 309982 [] -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).
% 309983 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 309984 [] c_in(c_^event_^oevent_^o^says(v_sko__usf(X,Y,Z),X,Y),c_^list_^oset(Z,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^gets(X,Y),c_^list_^oset(Z,tc_^event_^oevent),tc_^event_^oevent) | -c_in(Z,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 309985 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(U),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(W)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 309986 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(U),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(W,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X1),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent) | equal(W,Y).
% 309987 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(U),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(W,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X1),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent) | equal(X1,U).
% 309988 [] -c_in(v_^b,c_^event_^obad,tc_^message_^oagent).
% 309989 [] c_in(v_evs3,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 309990 [] c_in(c_^event_^oevent_^o^says(v_^ba,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(v_x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba)))))))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent) | equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^aa)).
% 309991 [] c_in(c_^event_^oevent_^o^says(v_^aa,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(v_x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^aa)))))))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent) | equal(v_^b,v_^ba).
% 309992 [] c_in(c_^event_^oevent_^o^says(v_^aa,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(v_x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^aa)))))))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent) | equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^ba)).
% 309993 [] c_in(c_^event_^oevent_^o^gets(c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(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^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),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^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(v_^ba)))))))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent).
% 309994 [] -equal(v_^n^a,c_^message_^omsg_^o^nonce(v_^n^aa)) | -equal(v_^a,v_^aa) | equal(v_^b,v_^aa).
% 309995 [] -equal(v_^n^a,c_^message_^omsg_^o^nonce(v_^n^aa)) | equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^aa)) | -equal(v_^a,v_^aa).
% 309996 [] equal(v_^b,v_^ba) | equal(v_^b,v_^aa).
% 309997 [] c_in(c_^event_^oevent_^o^says(v_^ba,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(v_x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba)))))))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent) | equal(v_^b,v_^aa).
% 309999 [para:309996.2.1,309988.1.1] -c_in(v_^aa,c_^event_^obad,tc_^message_^oagent) | equal(v_^b,v_^ba).
% 310018 [binary:309981,309980] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,U)),c_^list_^oset(V,tc_^event_^oevent),tc_^event_^oevent) | c_in(U,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg).
% 310029 [binary:309981,310018.2] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(U,V))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | c_in(V,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,W)),tc_^message_^omsg).
% 310042 [para:309996.1.2,309993.1.1.2.2.2.2.2.1.1] c_in(c_^event_^oevent_^o^gets(c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(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^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(v_^ba)))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(v_^ba)))))))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent) | equal(v_^b,v_^aa).
% 310084 [binary:309981,310029.2] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^m^pair(V,W)))),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | c_in(W,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,X1)),tc_^message_^omsg).
% 310085 [binary:309991,310029] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(v_x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^aa))))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^ba).
% 310105 [binary:309983.2,309985] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(U),c_^message_^omsg_^o^agent(X))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(W)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 310106 [binary:309983.2,309985.2] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(U),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(W)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 310119 [binary:309983.2,309986] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(U),c_^message_^omsg_^o^agent(X))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(W,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X1),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent) | equal(W,Y).
% 310121 [binary:309994,309986.5] -equal(v_^a,v_^aa) | equal(v_^b,v_^aa) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Z),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,U)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(V),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,U)),tc_^message_^omsg) | -c_in(U,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 310131 [binary:309983.2,309987] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(U),c_^message_^omsg_^o^agent(X))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(W,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X1),c_^message_^omsg_^o^agent(X))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent) | equal(X1,U).
% 310145 [binary:309981,310085] c_in(c_^message_^omsg_^o^m^pair(v_x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^aa)))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^ba).
% 310198 [binary:309981,310145] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^aa))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^ba).
% 310216 [binary:309981,310084.2] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^m^pair(V,c_^message_^omsg_^o^m^pair(W,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).
% 310218 [binary:309982,310084.2] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^m^pair(V,c_^message_^omsg_^o^m^pair(W,X1))))),c_^list_^oset(X2,tc_^event_^oevent),tc_^event_^oevent) | c_in(W,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,X2)),tc_^message_^omsg).
% 310264 [binary:309983,310198] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^aa))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^ba).
% 310334 [binary:309985,310264,cut:309989,binarycut:309999] equal(v_^b,v_^ba) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(X)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 310348 [binary:309983.2,310334.2] equal(v_^b,v_^ba) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(X)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 310534 [binary:309990,310216] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^aa)).
% 310537 [binary:309992,310216] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^aa))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^ba)).
% 310539 [binary:309997,310216] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^aa).
% 310540 [binary:309984,310216] -c_in(c_^event_^oevent_^o^gets(X,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^m^pair(V,W))))),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | c_in(W,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,X1)),tc_^message_^omsg) | -c_in(X1,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 310544 [para:309996.1.2,310539.1.1.1.1] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^aa).
% 310548 [para:309996.1.2,310544.1.1.2.2.2.2.1] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^aa).
% 310581 [binary:309983,310548] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^aa).
% 310833 [binary:309987,310581,cut:309989,cut:309988] equal(v_^b,v_^aa) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(Y,v_^a).
% 310834 [binary:309987.2,310581,cut:309989,cut:309988] equal(v_^b,v_^aa) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^a,Y).
% 310940 [binary:309983,310534] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^aa)).
% 310954 [binary:309983,310537] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^aa))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^ba)).
% 310996 [binary:309984,310218] -c_in(c_^event_^oevent_^o^gets(X,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^m^pair(V,W))))),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | c_in(V,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,X1)),tc_^message_^omsg) | -c_in(X1,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 311647 [binary:310954,310106,cut:309989] equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^ba)) | c_in(v_^aa,c_^event_^obad,tc_^message_^oagent) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(X)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 312638 [binary:310581,310121.4,cut:309989,cut:309988] -equal(v_^a,v_^aa) | equal(v_^b,v_^aa) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 312909 [binary:309983.2,310833.2] equal(v_^b,v_^aa) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(Y,v_^a).
% 312996 [binary:309983.2,310834.2] equal(v_^b,v_^aa) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^a,Y).
% 318452 [binary:309983.2,312638.3] -equal(v_^a,v_^aa) | equal(v_^b,v_^aa) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 324769 [binary:309993,310540,cut:309989] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(v_^ba))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 324779 [binary:310042,310540,cut:309989] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(v_^ba))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^aa).
% 324824 [binary:310105,324769,cut:309989] c_in(v_^ba,c_^event_^obad,tc_^message_^oagent) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^agent(X)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 324831 [binary:310119,324769,cut:309989] c_in(v_^ba,c_^event_^obad,tc_^message_^oagent) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^agent(v_^ba))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(X,c_^message_^omsg_^o^nonce(v_^n^aa)).
% 324857 [binary:310131,324769,cut:309989] c_in(v_^ba,c_^event_^obad,tc_^message_^oagent) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^agent(v_^ba))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(Y,v_^aa).
% 325827 [para:309996.1.2,324779.1.1.2.2.2.2.1] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg) | equal(v_^b,v_^aa).
% 325928 [binary:312909.2,325827] equal(v_^b,v_^aa) | equal(v_^aa,v_^a).
% 325936 [binary:318452.3,325827] -equal(v_^a,v_^aa) | equal(v_^b,v_^aa).
% 326023 [binary:312996.2,325827,binarycut:325936] equal(v_^b,v_^aa).
% 326024 [para:326023.1.1,309988.1.1] -c_in(v_^aa,c_^event_^obad,tc_^message_^oagent).
% 326303 [para:325928.2.2,325936.1.1,cut:309979] equal(v_^b,v_^aa).
% 328590 [binary:310940,324857.2] equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^aa)) | c_in(v_^ba,c_^event_^obad,tc_^message_^oagent) | equal(v_^a,v_^aa).
% 331337 [binary:310940,324831.2] equal(v_^n^a,c_^message_^omsg_^o^nonce(v_^n^aa)) | equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^aa)) | c_in(v_^ba,c_^event_^obad,tc_^message_^oagent).
% 331521 [para:331337.1.2,309995.1.2,cut:309979] equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^aa)) | c_in(v_^ba,c_^event_^obad,tc_^message_^oagent) | -equal(v_^a,v_^aa).
% 336591 [binary:309993,310996,cut:309989] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(v_^ba)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 336593 [binary:310348.2,310996.2,cut:309989,slowcut:309993] equal(v_^b,v_^ba).
% 336601 [binary:311647.3,310996.2,cut:309989,cut:326024,slowcut:309993] equal(v_^n^b,c_^message_^omsg_^o^nonce(v_^n^ba)).
% 336698 [para:336593.1.2,324824.2.1.1.1,demod:336601] c_in(v_^ba,c_^event_^obad,tc_^message_^oagent) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^agent(X)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 337462 [para:336593.1.2,336698.1.1,cut:309988] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^agent(X)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 337464 [binary:309983.2,337462] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^agent(X)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 337546 [para:326303.1.1,337464.1.1.1.1] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^agent(X)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 337758 [para:336593.1.2,337546.1.1.2.2.1.1] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^agent(X)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 337979 [para:326303.1.1,337758.1.1.2.2.1.1] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^agent(X)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 340038 [para:328590.1.2,336591.1.1.2.1,cut:337979] c_in(v_^ba,c_^event_^obad,tc_^message_^oagent) | equal(v_^a,v_^aa).
% 340039 [para:336593.1.2,340038.1.1,cut:309988] equal(v_^a,v_^aa).
% 340404 [para:331521.1.2,336591.1.1.2.1,cut:337979,cut:340039] c_in(v_^ba,c_^event_^obad,tc_^message_^oagent).
% 340405 [para:336593.1.2,340404.1.1,cut:309988] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using term-depth-order strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 9
% clause depth limited to 11
% seconds given: 25
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 11092
% derived clauses: 1034533
% kept clauses: 184984
% kept size sum: 0
% kept mid-nuclei: 6539
% kept new demods: 8
% forw unit-subs: 178631
% forw double-subs: 340395
% forw overdouble-subs: 77846
% backward subs: 3224
% fast unit cutoff: 31640
% full unit cutoff: 126
% dbl unit cutoff: 664
% real runtime : 100.97
% process. runtime: 100.73
% specific non-discr-tree subsumption statistics:
% tried: 16631745
% length fails: 1355824
% strength fails: 5827413
% predlist fails: 2418390
% aux str. fails: 772237
% by-lit fails: 1593920
% full subs tried: 4075228
% full subs fail: 4007127
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP10882/SWV/SWV303-2+eq_r.in")
% WARNING: TreeLimitedRun lost 99.84s, total lost is 99.84s
%
%------------------------------------------------------------------------------