TSTP Solution File: SWV311-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV311-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 13:20:27 EDT 2022
% Result : Unsatisfiable 1.78s 1.96s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 21 unt; 1 nHn; 26 RR)
% Number of literals : 34 ( 6 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-5 aty)
% Number of variables : 19 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)
| c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg) ),
file('SWV311-2.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('SWV311-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV311-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OAgent(B))))),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(B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(v_sko__u__1(E,B,C,D,A),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OAgent(B)))))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV311-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,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_Event_Oevent_OSays(v_sko__usf(B,C,A),B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV311-2.p',unknown),
[] ).
cnf(6,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV311-2.p',unknown),
[] ).
cnf(7,axiom,
~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV311-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV311-2.p',unknown),
[] ).
cnf(10,axiom,
v_NB = c_Message_Omsg_ONonce(v_NBa),
file('SWV311-2.p',unknown),
[] ).
cnf(12,plain,
c_Message_Omsg_ONonce(v_NBa) = v_NB,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[10])]),
[iquote('copy,10,flip.1')] ).
cnf(13,axiom,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV311-2.p',unknown),
[] ).
cnf(14,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[13]),12]),
[iquote('copy,13,demod,12')] ).
cnf(15,axiom,
v_B = v_Ba,
file('SWV311-2.p',unknown),
[] ).
cnf(17,plain,
v_Ba = v_B,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[15])]),
[iquote('copy,15,flip.1')] ).
cnf(18,axiom,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('SWV311-2.p',unknown),
[] ).
cnf(20,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[18])]),
[iquote('copy,18,flip.1')] ).
cnf(21,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_Aa),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_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[7]),17,20,17,17,20,12,17]),
[iquote('back_demod,7,demod,17,20,17,17,20,12,17')] ).
cnf(22,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),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_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[14]),20,17,20,17,17,20,17]),
[iquote('back_demod,14,demod,20,17,20,17,17,20,17')] ).
cnf(23,plain,
c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),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_Aa),c_Message_Omsg_OAgent(v_B))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),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_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(hyper,[status(thm)],[22,5,9]),
[iquote('hyper,22,5,9')] ).
cnf(24,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),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_Aa),c_Message_Omsg_OAgent(v_B))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[23,1]),
[iquote('hyper,23,1')] ).
cnf(26,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),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_Aa),c_Message_Omsg_OAgent(v_B)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[24,2]),
[iquote('hyper,24,2')] ).
cnf(28,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),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_Aa),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[26,2]),
[iquote('hyper,26,2')] ).
cnf(30,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),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_Aa),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[28,2]),
[iquote('hyper,28,2')] ).
cnf(32,plain,
c_in(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_Aa),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[30,2]),
[iquote('hyper,30,2')] ).
cnf(33,plain,
c_in(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_Aa),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[32,3]),
[iquote('hyper,32,3')] ).
cnf(34,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[33,4,9]),6,21]),
[iquote('hyper,33,4,9,unit_del,6,21')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV311-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 05:42:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.78/1.96 ----- Otter 3.3f, August 2004 -----
% 1.78/1.96 The process was started by sandbox on n009.cluster.edu,
% 1.78/1.96 Wed Jul 27 05:42:21 2022
% 1.78/1.96 The command was "./otter". The process ID is 10438.
% 1.78/1.96
% 1.78/1.96 set(prolog_style_variables).
% 1.78/1.96 set(auto).
% 1.78/1.96 dependent: set(auto1).
% 1.78/1.96 dependent: set(process_input).
% 1.78/1.96 dependent: clear(print_kept).
% 1.78/1.96 dependent: clear(print_new_demod).
% 1.78/1.96 dependent: clear(print_back_demod).
% 1.78/1.96 dependent: clear(print_back_sub).
% 1.78/1.96 dependent: set(control_memory).
% 1.78/1.96 dependent: assign(max_mem, 12000).
% 1.78/1.96 dependent: assign(pick_given_ratio, 4).
% 1.78/1.96 dependent: assign(stats_level, 1).
% 1.78/1.96 dependent: assign(max_seconds, 10800).
% 1.78/1.96 clear(print_given).
% 1.78/1.96
% 1.78/1.96 list(usable).
% 1.78/1.96 0 [] A=A.
% 1.78/1.96 0 [] -c_in(c_Event_Oevent_OSays(V_A,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).
% 1.78/1.96 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).
% 1.78/1.96 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).
% 1.78/1.96 0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(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_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(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_sko__u__1(V_A,V_B,V_NA,V_NB,V_evs),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_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/1.96 0 [] -c_in(V_evs,c_OtwayRees_Ootway,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(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/1.96 0 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.78/1.96 0 [] c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.78/1.96 0 [] v_NB=c_Message_Omsg_ONonce(v_NBa).
% 1.78/1.96 0 [] -c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/1.96 0 [] c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/1.96 0 [] v_B=v_Ba.
% 1.78/1.96 0 [] v_NA=c_Message_Omsg_ONonce(v_NAa).
% 1.78/1.96 end_of_list.
% 1.78/1.96
% 1.78/1.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.78/1.96
% 1.78/1.96 This ia a non-Horn set with equality. The strategy will be
% 1.78/1.96 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.78/1.96 deletion, with positive clauses in sos and nonpositive
% 1.78/1.96 clauses in usable.
% 1.78/1.96
% 1.78/1.96 dependent: set(knuth_bendix).
% 1.78/1.96 dependent: set(anl_eq).
% 1.78/1.96 dependent: set(para_from).
% 1.78/1.96 dependent: set(para_into).
% 1.78/1.96 dependent: clear(para_from_right).
% 1.78/1.96 dependent: clear(para_into_right).
% 1.78/1.96 dependent: set(para_from_vars).
% 1.78/1.96 dependent: set(eq_units_both_ways).
% 1.78/1.96 dependent: set(dynamic_demod_all).
% 1.78/1.96 dependent: set(dynamic_demod).
% 1.78/1.96 dependent: set(order_eq).
% 1.78/1.96 dependent: set(back_demod).
% 1.78/1.96 dependent: set(lrpo).
% 1.78/1.96 dependent: set(hyper_res).
% 1.78/1.96 dependent: set(unit_deletion).
% 1.78/1.96 dependent: set(factor).
% 1.78/1.96
% 1.78/1.96 ------------> process usable:
% 1.78/1.96 ** KEPT (pick-wt=16): 1 [] -c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg).
% 1.78/1.96 ** 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).
% 1.78/1.96 ** KEPT (pick-wt=10): 3 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.78/1.96 ** KEPT (pick-wt=62): 4 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OAgent(B))))),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(B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(v_sko__u__1(E,B,C,D,A),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OAgent(B)))))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/1.96 ** KEPT (pick-wt=25): 5 [] -c_in(A,c_OtwayRees_Ootway,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_Event_Oevent_OSays(v_sko__usf(B,C,A),B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/1.96 ** KEPT (pick-wt=4): 6 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.78/1.96 ** KEPT (pick-wt=33): 7 [] -c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/1.96
% 1.78/1.96 ------------> process sos:
% 1.78/1.96 ** KEPT (pick-wt=3): 8 [] A=A.
% 1.78/1.96 ** KEPT (pick-wt=5): 9 [] c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.78/1.96 ** KEPT (pick-wt=4): 11 [copy,10,flip.1] c_Message_Omsg_ONonce(v_NBa)=v_NB.
% 1.78/1.96 ---> New Demodulator: 12 [new_demod,11] c_Message_Omsg_ONonce(v_NBa)=v_NB.
% 1.78/1.96 ** KEPT (pick-wt=41): 14 [copy,13,demod,12] c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.78/1.96 ** KEPT (pick-wt=3): 16 [copy,15,flip.1] v_Ba=v_B.
% 1.78/1.96 ---> New Demodulator: 17 [new_demod,16] v_Ba=v_B.
% 1.78/1.96 ** KEPT (pick-wt=4): 19 [copy,18,flip.1] c_Message_Omsg_ONonce(v_NAa)=v_NA.
% 1.78/1.96 ---> New Demodulator: 20 [new_demod,19] c_Message_Omsg_ONonce(v_NAa)=v_NA.
% 1.78/1.96 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] A=A.
% 1.78/1.96 >>>> Starting back demodulation with 12.
% 1.78/1.96 >> back demodulating 7 with 12.
% 1.78/1.96 >>>> Starting back demodulation with 17.
% 1.78/1.96 >> back demodulating 14 with 17.
% 1.78/1.96 >>>> Starting back demodulation with 20.
% 1.78/1.96
% 1.78/1.96 ======= end of input processing =======
% 1.78/1.96
% 1.78/1.96 =========== start of search ===========
% 1.78/1.96
% 1.78/1.96 -------- PROOF --------
% 1.78/1.96
% 1.78/1.96 -----> EMPTY CLAUSE at 0.00 sec ----> 34 [hyper,33,4,9,unit_del,6,21] $F.
% 1.78/1.96
% 1.78/1.96 Length of proof is 13. Level of proof is 10.
% 1.78/1.96
% 1.78/1.96 ---------------- PROOF ----------------
% 1.78/1.96 % SZS status Unsatisfiable
% 1.78/1.96 % SZS output start Refutation
% See solution above
% 1.78/1.96 ------------ end of proof -------------
% 1.78/1.96
% 1.78/1.96
% 1.78/1.96 Search stopped by max_proofs option.
% 1.78/1.96
% 1.78/1.96
% 1.78/1.96 Search stopped by max_proofs option.
% 1.78/1.96
% 1.78/1.96 ============ end of search ============
% 1.78/1.96
% 1.78/1.96 -------------- statistics -------------
% 1.78/1.96 clauses given 15
% 1.78/1.96 clauses generated 18
% 1.78/1.96 clauses kept 26
% 1.78/1.96 clauses forward subsumed 7
% 1.78/1.96 clauses back subsumed 0
% 1.78/1.96 Kbytes malloced 2929
% 1.78/1.96
% 1.78/1.96 ----------- times (seconds) -----------
% 1.78/1.96 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.78/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.78/1.96 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.78/1.96
% 1.78/1.96 That finishes the proof of the theorem.
% 1.78/1.96
% 1.78/1.96 Process 10438 finished Wed Jul 27 05:42:22 2022
% 1.78/1.96 Otter interrupted
% 1.78/1.96 PROOF FOUND
%------------------------------------------------------------------------------