TSTP Solution File: SWV287-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV287-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 13:20:23 EDT 2022
% Result : Unsatisfiable 1.94s 2.12s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 11 ( 9 unt; 2 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-5 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(A,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV287-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV287-2.p',unknown),
[] ).
cnf(3,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV287-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(C,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OAgent(F)))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| c_in(C,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(F),c_Message_Omsg_OMPair(v_sko__u8o(C,F,E,D,A),c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV287-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(C,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(E),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| c_in(B,c_Event_Obad,tc_Message_Oagent)
| c_in(D,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(E)))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV287-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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),
file('SWV287-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV287-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV287-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('SWV287-2.p',unknown),
[] ).
cnf(11,plain,
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_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[8,4,9,7]),2]),
[iquote('hyper,8,4,9,7,unit_del,2')] ).
cnf(12,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[11,5,9,10]),3,2,1]),
[iquote('hyper,11,5,9,10,unit_del,3,2,1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV287-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n006.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 06:07:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.94/2.12 ----- Otter 3.3f, August 2004 -----
% 1.94/2.12 The process was started by sandbox on n006.cluster.edu,
% 1.94/2.12 Wed Jul 27 06:07:02 2022
% 1.94/2.12 The command was "./otter". The process ID is 23396.
% 1.94/2.12
% 1.94/2.12 set(prolog_style_variables).
% 1.94/2.12 set(auto).
% 1.94/2.12 dependent: set(auto1).
% 1.94/2.12 dependent: set(process_input).
% 1.94/2.12 dependent: clear(print_kept).
% 1.94/2.12 dependent: clear(print_new_demod).
% 1.94/2.12 dependent: clear(print_back_demod).
% 1.94/2.12 dependent: clear(print_back_sub).
% 1.94/2.12 dependent: set(control_memory).
% 1.94/2.12 dependent: assign(max_mem, 12000).
% 1.94/2.12 dependent: assign(pick_given_ratio, 4).
% 1.94/2.12 dependent: assign(stats_level, 1).
% 1.94/2.12 dependent: assign(max_seconds, 10800).
% 1.94/2.12 clear(print_given).
% 1.94/2.12
% 1.94/2.12 list(usable).
% 1.94/2.12 0 [] c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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).
% 1.94/2.12 0 [] c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.94/2.12 0 [] -c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.94/2.12 0 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.94/2.12 0 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.94/2.12 0 [] c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.94/2.12 0 [] c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).
% 1.94/2.12 0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(V_A,V_B,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_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,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)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)|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_sko__u8o(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.94/2.12 0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -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_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).
% 1.94/2.12 end_of_list.
% 1.94/2.12
% 1.94/2.12 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.94/2.12
% 1.94/2.12 This is a non-Horn set without equality. The strategy will
% 1.94/2.12 be ordered hyper_res, unit deletion, and factoring, with
% 1.94/2.12 satellites in sos and with nuclei in usable.
% 1.94/2.12
% 1.94/2.12 dependent: set(hyper_res).
% 1.94/2.12 dependent: set(factor).
% 1.94/2.12 dependent: set(unit_deletion).
% 1.94/2.12
% 1.94/2.12 ------------> process usable:
% 1.94/2.12 ** KEPT (pick-wt=13): 1 [] -c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(A,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.94/2.12 ** KEPT (pick-wt=4): 2 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.94/2.12 ** KEPT (pick-wt=4): 3 [] -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 1.94/2.12 ** KEPT (pick-wt=82): 4 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Event_Oevent_OSays(C,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(F),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OAgent(F)))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|c_in(C,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(F),c_Message_Omsg_OMPair(v_sko__u8o(C,F,E,D,A),c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.94/2.12 ** KEPT (pick-wt=59): 5 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(C,c_Message_Omsg_OKey(E))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(E)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_OKey(E),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent)|c_in(D,c_Event_Obad,tc_Message_Oagent)|c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(E)))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 1.94/2.12
% 1.94/2.12 ------------> process sos:
% 1.94/2.12 ** KEPT (pick-wt=26): 7 [] c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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).
% 1.94/2.12 ** KEPT (pick-wt=17): 8 [] c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).
% 1.94/2.12 ** KEPT (pick-wt=5): 9 [] c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.94/2.12 ** KEPT (pick-wt=8): 10 [] c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).
% 1.94/2.12
% 1.94/2.12 ======= end of input processing =======
% 1.94/2.12
% 1.94/2.12 =========== start of search ===========
% 1.94/2.12
% 1.94/2.12 -------- PROOF --------
% 1.94/2.12
% 1.94/2.12 -----> EMPTY CLAUSE at 0.00 sec ----> 12 [hyper,11,5,9,10,unit_del,3,2,1] $F.
% 1.94/2.12
% 1.94/2.12 Length of proof is 1. Level of proof is 1.
% 1.94/2.12
% 1.94/2.12 ---------------- PROOF ----------------
% 1.94/2.12 % SZS status Unsatisfiable
% 1.94/2.12 % SZS output start Refutation
% See solution above
% 1.94/2.12 ------------ end of proof -------------
% 1.94/2.12
% 1.94/2.12
% 1.94/2.12 Search stopped by max_proofs option.
% 1.94/2.12
% 1.94/2.12
% 1.94/2.12 Search stopped by max_proofs option.
% 1.94/2.12
% 1.94/2.12 ============ end of search ============
% 1.94/2.12
% 1.94/2.12 -------------- statistics -------------
% 1.94/2.12 clauses given 5
% 1.94/2.12 clauses generated 3
% 1.94/2.12 clauses kept 11
% 1.94/2.12 clauses forward subsumed 0
% 1.94/2.12 clauses back subsumed 0
% 1.94/2.12 Kbytes malloced 976
% 1.94/2.12
% 1.94/2.12 ----------- times (seconds) -----------
% 1.94/2.12 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.12 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.94/2.12
% 1.94/2.12 That finishes the proof of the theorem.
% 1.94/2.12
% 1.94/2.12 Process 23396 finished Wed Jul 27 06:07:03 2022
% 1.94/2.13 Otter interrupted
% 1.94/2.13 PROOF FOUND
%------------------------------------------------------------------------------