TSTP Solution File: SWV332-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:20:30 EDT 2022
% Result : Unsatisfiable 1.62s 1.89s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 29 ( 15 unt; 5 nHn; 28 RR)
% Number of literals : 55 ( 11 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-4 aty)
% Number of variables : 51 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV332-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)
| c_in(B,c_Message_Oanalz(C),tc_Message_Omsg) ),
file('SWV332-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)
| c_in(A,c_Message_Oanalz(C),tc_Message_Omsg) ),
file('SWV332-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)
| c_in(B,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg) ),
file('SWV332-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| c_in(B,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV332-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OKey(D))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| c_in(B,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(C,B,D,A)),c_Message_Omsg_ONonce(v_sko__2jj(C,B,D,A)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV332-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) ),
file('SWV332-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(J,K)))),L)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| H = B ),
file('SWV332-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(J,K)))),L)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| I = C ),
file('SWV332-2.p',unknown),
[] ).
cnf(10,axiom,
( A != v_X
| v_B != v_Ba
| v_A != v_Aa ),
file('SWV332-2.p',unknown),
[] ).
cnf(11,plain,
( A != v_X
| v_Ba != v_B
| v_Aa != v_A ),
inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[10])])]),
[iquote('copy,10,flip.2,flip.3')] ).
cnf(12,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('SWV332-2.p',unknown),
[] ).
cnf(13,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV332-2.p',unknown),
[] ).
cnf(16,axiom,
A = A,
file('SWV332-2.p',unknown),
[] ).
cnf(17,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV332-2.p',unknown),
[] ).
cnf(18,axiom,
c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV332-2.p',unknown),
[] ).
cnf(19,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('SWV332-2.p',unknown),
[] ).
cnf(28,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[19,6,17]),13]),
[iquote('hyper,19,6,17,unit_del,13')] ).
cnf(55,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[18,7,17]),
[iquote('hyper,18,7,17')] ).
cnf(100,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[55,3]),
[iquote('hyper,55,3')] ).
cnf(104,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[100,1]),
[iquote('hyper,100,1')] ).
cnf(105,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(hyper,[status(thm)],[104,5,17]),
[iquote('hyper,104,5,17')] ).
cnf(107,plain,
( v_Ba = v_B
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[28,9,17,105])]),
[iquote('hyper,28,9,17,105,flip.1')] ).
cnf(108,plain,
( v_Aa = v_A
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[28,8,17,105])]),
[iquote('hyper,28,8,17,105,flip.1')] ).
cnf(117,plain,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[108,11,16,107])]),
[iquote('hyper,108,11,16,107,factor_simp')] ).
cnf(118,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[117,4,100]),
[iquote('hyper,117,4,100')] ).
cnf(126,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[118,2]),
[iquote('hyper,118,2')] ).
cnf(129,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[126,3]),
[iquote('hyper,126,3')] ).
cnf(130,plain,
$false,
inference(binary,[status(thm)],[129,12]),
[iquote('binary,129.1,12.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 06:17:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.62/1.84 ----- Otter 3.3f, August 2004 -----
% 1.62/1.84 The process was started by sandbox on n010.cluster.edu,
% 1.62/1.84 Wed Jul 27 06:17:09 2022
% 1.62/1.84 The command was "./otter". The process ID is 28462.
% 1.62/1.84
% 1.62/1.84 set(prolog_style_variables).
% 1.62/1.84 set(auto).
% 1.62/1.84 dependent: set(auto1).
% 1.62/1.84 dependent: set(process_input).
% 1.62/1.84 dependent: clear(print_kept).
% 1.62/1.84 dependent: clear(print_new_demod).
% 1.62/1.84 dependent: clear(print_back_demod).
% 1.62/1.84 dependent: clear(print_back_sub).
% 1.62/1.84 dependent: set(control_memory).
% 1.62/1.84 dependent: assign(max_mem, 12000).
% 1.62/1.84 dependent: assign(pick_given_ratio, 4).
% 1.62/1.84 dependent: assign(stats_level, 1).
% 1.62/1.84 dependent: assign(max_seconds, 10800).
% 1.62/1.84 clear(print_given).
% 1.62/1.84
% 1.62/1.84 list(usable).
% 1.62/1.84 0 [] A=A.
% 1.62/1.84 0 [] -c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.62/1.84 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.62/1.84 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.62/1.84 0 [] -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.62/1.84 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.62/1.84 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(V_A,V_B,V_K,V_evs)),c_Message_Omsg_ONonce(v_sko__2jj(V_A,V_B,V_K,V_evs)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.62/1.84 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.62/1.84 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|V_A=V_A_H.
% 1.62/1.84 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|V_B=V_B_H.
% 1.62/1.84 0 [] c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.62/1.84 0 [] V_U!=v_X|v_B!=v_Ba|v_A!=v_Aa.
% 1.62/1.84 0 [] c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.62/1.84 0 [] -c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.62/1.84 0 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.62/1.84 0 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.62/1.84 end_of_list.
% 1.62/1.84
% 1.62/1.84 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.62/1.84
% 1.62/1.84 This ia a non-Horn set with equality. The strategy will be
% 1.62/1.84 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.62/1.84 deletion, with positive clauses in sos and nonpositive
% 1.62/1.84 clauses in usable.
% 1.62/1.84
% 1.62/1.84 dependent: set(knuth_bendix).
% 1.62/1.84 dependent: set(anl_eq).
% 1.62/1.84 dependent: set(para_from).
% 1.62/1.84 dependent: set(para_into).
% 1.62/1.84 dependent: clear(para_from_right).
% 1.62/1.84 dependent: clear(para_into_right).
% 1.62/1.84 dependent: set(para_from_vars).
% 1.62/1.84 dependent: set(eq_units_both_ways).
% 1.62/1.84 dependent: set(dynamic_demod_all).
% 1.62/1.84 dependent: set(dynamic_demod).
% 1.62/1.84 dependent: set(order_eq).
% 1.62/1.84 dependent: set(back_demod).
% 1.62/1.84 dependent: set(lrpo).
% 1.62/1.84 dependent: set(hyper_res).
% 1.62/1.84 dependent: set(unit_deletion).
% 1.62/1.84 dependent: set(factor).
% 1.62/1.84
% 1.62/1.84 ------------> process usable:
% 1.62/1.84 ** KEPT (pick-wt=10): 1 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.62/1.84 ** KEPT (pick-wt=12): 2 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(C),tc_Message_Omsg).
% 1.62/1.84 ** KEPT (pick-wt=12): 3 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 1.62/1.84 ** KEPT (pick-wt=21): 4 [] -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg).
% 1.62/1.84 ** KEPT (pick-wt=56): 5 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.62/1.84 ** KEPT (pick-wt=62): 6 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OKey(D))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(C,B,D,A)),c_Message_Omsg_ONonce(v_sko__2jj(C,B,D,A)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.62/1.89 ** KEPT (pick-wt=20): 7 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OGets(B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg).
% 1.62/1.89 ** KEPT (pick-wt=52): 8 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(J,K)))),L)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|H=B.
% 1.62/1.89 ** KEPT (pick-wt=52): 9 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(I),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(J,K)))),L)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|I=C.
% 1.62/1.89 ** KEPT (pick-wt=9): 11 [copy,10,flip.2,flip.3] A!=v_X|v_Ba!=v_B|v_Aa!=v_A.
% 1.62/1.89 ** KEPT (pick-wt=8): 12 [] -c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.62/1.89 ** KEPT (pick-wt=4): 13 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.62/1.89
% 1.62/1.89 ------------> process sos:
% 1.62/1.89 ** KEPT (pick-wt=3): 16 [] A=A.
% 1.62/1.89 ** KEPT (pick-wt=5): 17 [] c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.62/1.89 ** KEPT (pick-wt=23): 18 [] c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.62/1.89 ** KEPT (pick-wt=14): 19 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.62/1.89 Following clause subsumed by 16 during input processing: 0 [copy,16,flip.1] A=A.
% 1.62/1.89 16 back subsumes 15.
% 1.62/1.89 16 back subsumes 14.
% 1.62/1.89
% 1.62/1.89 ======= end of input processing =======
% 1.62/1.89
% 1.62/1.89 =========== start of search ===========
% 1.62/1.89
% 1.62/1.89
% 1.62/1.89 Resetting weight limit to 54.
% 1.62/1.89
% 1.62/1.89
% 1.62/1.89 Resetting weight limit to 54.
% 1.62/1.89
% 1.62/1.89 sos_size=79
% 1.62/1.89
% 1.62/1.89 -------- PROOF --------
% 1.62/1.89
% 1.62/1.89 ----> UNIT CONFLICT at 0.05 sec ----> 130 [binary,129.1,12.1] $F.
% 1.62/1.89
% 1.62/1.89 Length of proof is 12. Level of proof is 9.
% 1.62/1.89
% 1.62/1.89 ---------------- PROOF ----------------
% 1.62/1.89 % SZS status Unsatisfiable
% 1.62/1.89 % SZS output start Refutation
% See solution above
% 1.62/1.89 ------------ end of proof -------------
% 1.62/1.89
% 1.62/1.89
% 1.62/1.89 Search stopped by max_proofs option.
% 1.62/1.89
% 1.62/1.89
% 1.62/1.89 Search stopped by max_proofs option.
% 1.62/1.89
% 1.62/1.89 ============ end of search ============
% 1.62/1.89
% 1.62/1.89 -------------- statistics -------------
% 1.62/1.89 clauses given 23
% 1.62/1.89 clauses generated 870
% 1.62/1.89 clauses kept 128
% 1.62/1.89 clauses forward subsumed 97
% 1.62/1.89 clauses back subsumed 14
% 1.62/1.89 Kbytes malloced 4882
% 1.62/1.89
% 1.62/1.89 ----------- times (seconds) -----------
% 1.62/1.89 user CPU time 0.05 (0 hr, 0 min, 0 sec)
% 1.62/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.62/1.89 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.62/1.89
% 1.62/1.89 That finishes the proof of the theorem.
% 1.62/1.89
% 1.62/1.89 Process 28462 finished Wed Jul 27 06:17:11 2022
% 1.62/1.89 Otter interrupted
% 1.62/1.89 PROOF FOUND
%------------------------------------------------------------------------------