TSTP Solution File: SWV348-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:20:33 EDT 2022
% Result : Unsatisfiable 2.28s 2.47s
% Output : Refutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 36 ( 18 unt; 10 nHn; 35 RR)
% Number of literals : 71 ( 5 equ; 26 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 17 con; 0-3 aty)
% Number of variables : 65 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(3,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('SWV348-2.p',unknown),
[] ).
cnf(4,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('SWV348-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(B,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(6,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('SWV348-2.p',unknown),
[] ).
cnf(7,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(D,c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(E,F))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV348-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(C),tc_Message_Omsg)
| c_in(B,c_Message_Oanalz(C),tc_Message_Omsg) ),
file('SWV348-2.p',unknown),
[] ).
cnf(9,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('SWV348-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),G))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(H,I,c_Message_Omsg_OMPair(J,c_Message_Omsg_OCrypt(c_Public_OshrK(K),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(L),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(M),G))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(G,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| F = M ),
file('SWV348-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),G))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(H,I,c_Message_Omsg_OMPair(J,c_Message_Omsg_OCrypt(c_Public_OshrK(K),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(L),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(M),G))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(G,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| D = K ),
file('SWV348-2.p',unknown),
[] ).
cnf(12,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)))),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)
| ~ c_in(c_Message_Omsg_OKey(D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| c_in(C,c_Event_Obad,tc_Message_Oagent)
| c_in(B,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(D)))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV348-2.p',unknown),
[] ).
cnf(13,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV348-2.p',unknown),
[] ).
cnf(14,axiom,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),A))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV348-2.p',unknown),
[] ).
cnf(15,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('SWV348-2.p',unknown),
[] ).
cnf(18,axiom,
c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A),
file('SWV348-2.p',unknown),
[] ).
cnf(20,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV348-2.p',unknown),
[] ).
cnf(21,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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV348-2.p',unknown),
[] ).
cnf(22,axiom,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV348-2.p',unknown),
[] ).
cnf(23,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('SWV348-2.p',unknown),
[] ).
cnf(36,plain,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
inference(para_from,[status(thm),theory(equality)],[18,2]),
[iquote('para_from,18.1.1,2.2.2')] ).
cnf(79,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_NAa),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)],[21,6,20]),
[iquote('hyper,21,6,20')] ).
cnf(198,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_NAa),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)],[79,4]),
[iquote('hyper,79,4')] ).
cnf(214,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_NAa),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)],[198,36]),
[iquote('hyper,198,36')] ).
cnf(216,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_NAa),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)],[214,9,20]),
[iquote('hyper,214,9,20')] ).
cnf(286,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[216,12,20,23])]),
[iquote('hyper,216,12,20,23,factor_simp')] ).
cnf(287,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(hyper,[status(thm)],[216,7,20]),
[iquote('hyper,216,7,20')] ).
cnf(291,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| v_Ba = v_B ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[287,11,20,22]),15]),
[iquote('hyper,287,11,20,22,unit_del,15')] ).
cnf(292,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| v_NAa = v_NA ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[287,10,20,22]),15]),
[iquote('hyper,287,10,20,22,unit_del,15')] ).
cnf(294,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[291,286]),13])]),
[iquote('para_from,291.2.1,286.2.1,unit_del,13,factor_simp')] ).
cnf(364,plain,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[294,292]),14])]),
[iquote('para_into,294.2.1.2.1.1,292.2.1,unit_del,14,factor_simp')] ).
cnf(365,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[364,5,20]),
[iquote('hyper,364,5,20')] ).
cnf(367,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_NAa),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)],[365,8,198]),
[iquote('hyper,365,8,198')] ).
cnf(378,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),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)],[367,3]),
[iquote('hyper,367,3')] ).
cnf(387,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),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)],[378,3]),
[iquote('hyper,378,3')] ).
cnf(390,plain,
c_in(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)],[387,3]),
[iquote('hyper,387,3')] ).
cnf(391,plain,
$false,
inference(binary,[status(thm)],[390,15]),
[iquote('binary,390.1,15.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 06:21:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.84/2.03 ----- Otter 3.3f, August 2004 -----
% 1.84/2.03 The process was started by sandbox2 on n022.cluster.edu,
% 1.84/2.03 Wed Jul 27 06:21:20 2022
% 1.84/2.03 The command was "./otter". The process ID is 21385.
% 1.84/2.03
% 1.84/2.03 set(prolog_style_variables).
% 1.84/2.03 set(auto).
% 1.84/2.03 dependent: set(auto1).
% 1.84/2.03 dependent: set(process_input).
% 1.84/2.03 dependent: clear(print_kept).
% 1.84/2.03 dependent: clear(print_new_demod).
% 1.84/2.03 dependent: clear(print_back_demod).
% 1.84/2.03 dependent: clear(print_back_sub).
% 1.84/2.03 dependent: set(control_memory).
% 1.84/2.03 dependent: assign(max_mem, 12000).
% 1.84/2.03 dependent: assign(pick_given_ratio, 4).
% 1.84/2.03 dependent: assign(stats_level, 1).
% 1.84/2.03 dependent: assign(max_seconds, 10800).
% 1.84/2.03 clear(print_given).
% 1.84/2.03
% 1.84/2.03 list(usable).
% 1.84/2.03 0 [] A=A.
% 1.84/2.03 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.84/2.03 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.84/2.03 0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 1.84/2.03 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).
% 1.84/2.03 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).
% 1.84/2.03 0 [] -c_in(V_A,c_Event_Obad,tc_Message_Oagent)| -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.84/2.03 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).
% 1.84/2.03 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,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(V_k,c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.84/2.03 0 [] -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.84/2.03 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).
% 1.84/2.03 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|V_NA_H=V_NA.
% 1.84/2.03 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|V_B_H=V_B.
% 1.84/2.03 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,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)| -c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_B,c_Event_Obad,tc_Message_Oagent)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_na,c_Message_Omsg_OMPair(V_nb,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.84/2.03 0 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.84/2.03 0 [] c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.84/2.03 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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.84/2.03 0 [] -c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),V_U))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.84/2.03 0 [] c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.84/2.03 0 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.84/2.03 0 [] c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 1.84/2.03 end_of_list.
% 1.84/2.03
% 1.84/2.03 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.84/2.03
% 1.84/2.03 This ia a non-Horn set with equality. The strategy will be
% 1.84/2.03 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.84/2.03 deletion, with positive clauses in sos and nonpositive
% 1.84/2.03 clauses in usable.
% 1.84/2.03
% 1.84/2.03 dependent: set(knuth_bendix).
% 1.84/2.03 dependent: set(anl_eq).
% 1.84/2.03 dependent: set(para_from).
% 1.84/2.03 dependent: set(para_into).
% 1.84/2.03 dependent: clear(para_from_right).
% 1.84/2.03 dependent: clear(para_into_right).
% 1.84/2.03 dependent: set(para_from_vars).
% 1.84/2.03 dependent: set(eq_units_both_ways).
% 1.84/2.03 dependent: set(dynamic_demod_all).
% 1.84/2.03 dependent: set(dynamic_demod).
% 1.84/2.03 dependent: set(order_eq).
% 1.84/2.03 dependent: set(back_demod).
% 1.84/2.03 dependent: set(lrpo).
% 1.84/2.03 dependent: set(hyper_res).
% 1.84/2.03 dependent: set(unit_deletion).
% 1.84/2.03 dependent: set(factor).
% 1.84/2.03
% 1.84/2.03 ------------> process usable:
% 1.84/2.03 ** KEPT (pick-wt=12): 1 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 1.84/2.03 ** KEPT (pick-wt=9): 2 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.84/2.03 ** KEPT (pick-wt=12): 3 [] -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).
% 1.84/2.03 ** KEPT (pick-wt=12): 4 [] -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).
% 1.84/2.03 ** KEPT (pick-wt=18): 5 [] -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(B,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg).
% 1.84/2.03 ** KEPT (pick-wt=20): 6 [] -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).
% 1.84/2.03 ** KEPT (pick-wt=45): 7 [] -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(D,c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(E,F))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.84/2.03 ** KEPT (pick-wt=20): 8 [] -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(C),tc_Message_Omsg).
% 1.84/2.03 ** KEPT (pick-wt=56): 9 [] -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).
% 1.84/2.03 ** KEPT (pick-wt=54): 10 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),G))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(H,I,c_Message_Omsg_OMPair(J,c_Message_Omsg_OCrypt(c_Public_OshrK(K),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(L),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(M),G))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|c_in(G,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|F=M.
% 1.84/2.03 ** KEPT (pick-wt=54): 11 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),G))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(H,I,c_Message_Omsg_OMPair(J,c_Message_Omsg_OCrypt(c_Public_OshrK(K),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(L),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(M),G))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|c_in(G,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|D=K.
% 1.84/2.03 ** KEPT (pick-wt=63): 12 [] -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)))),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)| -c_in(c_Message_Omsg_OKey(D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(C,c_Event_Obad,tc_Message_Oagent)|c_in(B,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(D)))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 2.28/2.47 ** KEPT (pick-wt=4): 13 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 2.28/2.47 ** KEPT (pick-wt=14): 14 [] -c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),A))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 2.28/2.47 ** KEPT (pick-wt=8): 15 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 2.28/2.47
% 2.28/2.47 ------------> process sos:
% 2.28/2.47 ** KEPT (pick-wt=3): 17 [] A=A.
% 2.28/2.47 ** KEPT (pick-wt=6): 18 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 2.28/2.47 ---> New Demodulator: 19 [new_demod,18] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 2.28/2.47 ** KEPT (pick-wt=5): 20 [] c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 2.28/2.47 ** KEPT (pick-wt=23): 21 [] 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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 2.28/2.47 ** KEPT (pick-wt=22): 22 [] c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 2.28/2.47 ** KEPT (pick-wt=8): 23 [] c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 2.28/2.47 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] A=A.
% 2.28/2.47 >>>> Starting back demodulation with 19.
% 2.28/2.47
% 2.28/2.47 ======= end of input processing =======
% 2.28/2.47
% 2.28/2.47 =========== start of search ===========
% 2.28/2.47
% 2.28/2.47
% 2.28/2.47 Resetting weight limit to 54.
% 2.28/2.47
% 2.28/2.47
% 2.28/2.47 Resetting weight limit to 54.
% 2.28/2.47
% 2.28/2.47 sos_size=147
% 2.28/2.47
% 2.28/2.47
% 2.28/2.47 Resetting weight limit to 49.
% 2.28/2.47
% 2.28/2.47
% 2.28/2.47 Resetting weight limit to 49.
% 2.28/2.47
% 2.28/2.47 sos_size=141
% 2.28/2.47
% 2.28/2.47
% 2.28/2.47 Resetting weight limit to 47.
% 2.28/2.47
% 2.28/2.47
% 2.28/2.47 Resetting weight limit to 47.
% 2.28/2.47
% 2.28/2.47 sos_size=138
% 2.28/2.47
% 2.28/2.47
% 2.28/2.47 Resetting weight limit to 25.
% 2.28/2.47
% 2.28/2.47
% 2.28/2.47 Resetting weight limit to 25.
% 2.28/2.47
% 2.28/2.47 sos_size=194
% 2.28/2.47
% 2.28/2.47 -------- PROOF --------
% 2.28/2.47
% 2.28/2.47 ----> UNIT CONFLICT at 0.45 sec ----> 391 [binary,390.1,15.1] $F.
% 2.28/2.47
% 2.28/2.47 Length of proof is 16. Level of proof is 13.
% 2.28/2.47
% 2.28/2.47 ---------------- PROOF ----------------
% 2.28/2.47 % SZS status Unsatisfiable
% 2.28/2.47 % SZS output start Refutation
% See solution above
% 2.28/2.48 ------------ end of proof -------------
% 2.28/2.48
% 2.28/2.48
% 2.28/2.48 Search stopped by max_proofs option.
% 2.28/2.48
% 2.28/2.48
% 2.28/2.48 Search stopped by max_proofs option.
% 2.28/2.48
% 2.28/2.48 ============ end of search ============
% 2.28/2.48
% 2.28/2.48 -------------- statistics -------------
% 2.28/2.48 clauses given 175
% 2.28/2.48 clauses generated 17908
% 2.28/2.48 clauses kept 389
% 2.28/2.48 clauses forward subsumed 35
% 2.28/2.48 clauses back subsumed 80
% 2.28/2.48 Kbytes malloced 5859
% 2.28/2.48
% 2.28/2.48 ----------- times (seconds) -----------
% 2.28/2.48 user CPU time 0.45 (0 hr, 0 min, 0 sec)
% 2.28/2.48 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.28/2.48 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.28/2.48
% 2.28/2.48 That finishes the proof of the theorem.
% 2.28/2.48
% 2.28/2.48 Process 21385 finished Wed Jul 27 06:21:22 2022
% 2.28/2.48 Otter interrupted
% 2.28/2.48 PROOF FOUND
%------------------------------------------------------------------------------