TSTP Solution File: SWV301-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV301-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:20:25 EDT 2022
% Result : Unsatisfiable 1.78s 2.00s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 24 ( 13 unt; 6 nHn; 24 RR)
% Number of literals : 40 ( 1 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-3 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV301-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
file('SWV301-2.p',unknown),
[] ).
cnf(3,axiom,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
file('SWV301-2.p',unknown),
[] ).
cnf(4,plain,
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[3]),2]),
[iquote('copy,3,unit_del,2')] ).
cnf(5,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg) ),
file('SWV301-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)
| c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg) ),
file('SWV301-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV301-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| c_in(B,c_Event_Obad,tc_Message_Oagent) ),
file('SWV301-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('SWV301-2.p',unknown),
[] ).
cnf(12,axiom,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV301-2.p',unknown),
[] ).
cnf(13,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV301-2.p',unknown),
[] ).
cnf(14,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('SWV301-2.p',unknown),
[] ).
cnf(15,axiom,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| v_B = c_Message_Oagent_OSpy ),
file('SWV301-2.p',unknown),
[] ).
cnf(16,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('SWV301-2.p',unknown),
[] ).
cnf(17,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
inference(hyper,[status(thm)],[14,6,13]),
[iquote('hyper,14,6,13')] ).
cnf(26,plain,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[15,1]),16]),
[iquote('para_from,15.2.1,1.1.1,unit_del,16')] ).
cnf(27,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[17,9]),
[iquote('hyper,17,9')] ).
cnf(29,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(hyper,[status(thm)],[26,4,27]),
[iquote('hyper,26,4,27')] ).
cnf(30,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[29,5]),
[iquote('hyper,29,5')] ).
cnf(31,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[30,7]),
[iquote('hyper,30,7')] ).
cnf(34,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(hyper,[status(thm)],[31,4,26]),
[iquote('hyper,31,4,26')] ).
cnf(35,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(hyper,[status(thm)],[34,7]),
[iquote('hyper,34,7')] ).
cnf(36,plain,
c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(hyper,[status(thm)],[35,8,12]),
[iquote('hyper,35,8,12')] ).
cnf(37,plain,
$false,
inference(binary,[status(thm)],[36,1]),
[iquote('binary,36.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV301-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 06:21:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.78/2.00 ----- Otter 3.3f, August 2004 -----
% 1.78/2.00 The process was started by sandbox2 on n014.cluster.edu,
% 1.78/2.00 Wed Jul 27 06:21:09 2022
% 1.78/2.00 The command was "./otter". The process ID is 28002.
% 1.78/2.00
% 1.78/2.00 set(prolog_style_variables).
% 1.78/2.00 set(auto).
% 1.78/2.00 dependent: set(auto1).
% 1.78/2.00 dependent: set(process_input).
% 1.78/2.00 dependent: clear(print_kept).
% 1.78/2.00 dependent: clear(print_new_demod).
% 1.78/2.00 dependent: clear(print_back_demod).
% 1.78/2.00 dependent: clear(print_back_sub).
% 1.78/2.00 dependent: set(control_memory).
% 1.78/2.00 dependent: assign(max_mem, 12000).
% 1.78/2.00 dependent: assign(pick_given_ratio, 4).
% 1.78/2.00 dependent: assign(stats_level, 1).
% 1.78/2.00 dependent: assign(max_seconds, 10800).
% 1.78/2.00 clear(print_given).
% 1.78/2.00
% 1.78/2.00 list(usable).
% 1.78/2.00 0 [] A=A.
% 1.78/2.00 0 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.78/2.00 0 [] c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.78/2.00 0 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.78/2.00 0 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.78/2.00 0 [] -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/2.00 0 [] c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|v_B=c_Message_Oagent_OSpy.
% 1.78/2.00 0 [] c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).
% 1.78/2.00 0 [] c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 1.78/2.00 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg).
% 1.78/2.00 0 [] -c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.78/2.00 0 [] -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.78/2.00 0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),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).
% 1.78/2.00 0 [] -c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a).
% 1.78/2.00 end_of_list.
% 1.78/2.00
% 1.78/2.00 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.78/2.00
% 1.78/2.00 This ia a non-Horn set with equality. The strategy will be
% 1.78/2.00 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.78/2.00 deletion, with positive clauses in sos and nonpositive
% 1.78/2.00 clauses in usable.
% 1.78/2.00
% 1.78/2.00 dependent: set(knuth_bendix).
% 1.78/2.00 dependent: set(anl_eq).
% 1.78/2.00 dependent: set(para_from).
% 1.78/2.00 dependent: set(para_into).
% 1.78/2.00 dependent: clear(para_from_right).
% 1.78/2.00 dependent: clear(para_into_right).
% 1.78/2.00 dependent: set(para_from_vars).
% 1.78/2.00 dependent: set(eq_units_both_ways).
% 1.78/2.00 dependent: set(dynamic_demod_all).
% 1.78/2.00 dependent: set(dynamic_demod).
% 1.78/2.00 dependent: set(order_eq).
% 1.78/2.00 dependent: set(back_demod).
% 1.78/2.00 dependent: set(lrpo).
% 1.78/2.00 dependent: set(hyper_res).
% 1.78/2.00 dependent: set(unit_deletion).
% 1.78/2.00 dependent: set(factor).
% 1.78/2.00
% 1.78/2.00 ------------> process usable:
% 1.78/2.00 ** KEPT (pick-wt=4): 1 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.78/2.00 ** KEPT (pick-wt=25): 2 [] -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/2.00 ** KEPT (pick-wt=43): 4 [copy,3,unit_del,2] -c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).
% 1.78/2.00 ** KEPT (pick-wt=18): 5 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg).
% 1.78/2.00 ** KEPT (pick-wt=24): 6 [] -c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg).
% 1.78/2.00 ** KEPT (pick-wt=10): 7 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.78/2.00 ** KEPT (pick-wt=18): 8 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent).
% 1.78/2.00 ** KEPT (pick-wt=15): 9 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.78/2.00
% 1.78/2.00 ------------> process sos:
% 1.78/2.00 ** KEPT (pick-wt=3): 11 [] A=A.
% 1.78/2.00 ** KEPT (pick-wt=5): 12 [] c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.78/2.00 ** KEPT (pick-wt=8): 13 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.78/2.00 ** KEPT (pick-wt=16): 14 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.78/2.00 ** KEPT (pick-wt=33): 15 [] c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)|v_B=c_Message_Oagent_OSpy.
% 1.78/2.00 ** KEPT (pick-wt=4): 16 [] c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 1.78/2.00 Following clause subsumed by 11 during input processing: 0 [copy,11,flip.1] A=A.
% 1.78/2.00
% 1.78/2.00 ======= end of input processing =======
% 1.78/2.00
% 1.78/2.00 =========== start of search ===========
% 1.78/2.00
% 1.78/2.00 -------- PROOF --------
% 1.78/2.00
% 1.78/2.00 ----> UNIT CONFLICT at 0.00 sec ----> 37 [binary,36.1,1.1] $F.
% 1.78/2.00
% 1.78/2.00 Length of proof is 10. Level of proof is 8.
% 1.78/2.00
% 1.78/2.00 ---------------- PROOF ----------------
% 1.78/2.00 % SZS status Unsatisfiable
% 1.78/2.00 % SZS output start Refutation
% See solution above
% 1.78/2.00 ------------ end of proof -------------
% 1.78/2.00
% 1.78/2.00
% 1.78/2.00 Search stopped by max_proofs option.
% 1.78/2.00
% 1.78/2.00
% 1.78/2.00 Search stopped by max_proofs option.
% 1.78/2.00
% 1.78/2.00 ============ end of search ============
% 1.78/2.00
% 1.78/2.00 -------------- statistics -------------
% 1.78/2.00 clauses given 14
% 1.78/2.00 clauses generated 31
% 1.78/2.00 clauses kept 35
% 1.78/2.00 clauses forward subsumed 11
% 1.78/2.00 clauses back subsumed 15
% 1.78/2.00 Kbytes malloced 1953
% 1.78/2.00
% 1.78/2.00 ----------- times (seconds) -----------
% 1.78/2.00 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.78/2.00 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.78/2.00 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.78/2.00
% 1.78/2.00 That finishes the proof of the theorem.
% 1.78/2.00
% 1.78/2.00 Process 28002 finished Wed Jul 27 06:21:11 2022
% 1.78/2.00 Otter interrupted
% 1.78/2.00 PROOF FOUND
%------------------------------------------------------------------------------