TSTP Solution File: SWV353-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV353-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:20:34 EDT 2022
% Result : Unsatisfiable 1.70s 1.94s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 1 nHn; 12 RR)
% Number of literals : 21 ( 8 equ; 11 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 24 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
file('SWV353-2.p',unknown),
[] ).
cnf(2,axiom,
( A != c_Message_Omsg_OKey(v_K)
| v_NA != v_NAa ),
file('SWV353-2.p',unknown),
[] ).
cnf(3,plain,
( A != c_Message_Omsg_OKey(v_K)
| v_NAa != v_NA ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,flip.2')] ).
cnf(4,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('SWV353-2.p',unknown),
[] ).
cnf(5,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('SWV353-2.p',unknown),
[] ).
cnf(6,axiom,
A = A,
file('SWV353-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV353-2.p',unknown),
[] ).
cnf(8,axiom,
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))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV353-2.p',unknown),
[] ).
cnf(9,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_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV353-2.p',unknown),
[] ).
cnf(35,plain,
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_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(hyper,[status(thm)],[8,4,7]),
[iquote('hyper,8,4,7')] ).
cnf(60,plain,
v_NAa = v_NA,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[35,5,7,9]),1]),
[iquote('hyper,35,5,7,9,unit_del,1')] ).
cnf(86,plain,
A != c_Message_Omsg_OKey(v_K),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3]),60]),6]),
[iquote('back_demod,3,demod,60,unit_del,6')] ).
cnf(87,plain,
$false,
inference(binary,[status(thm)],[86,6]),
[iquote('binary,86.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV353-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n007.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 05:34:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.70/1.94 ----- Otter 3.3f, August 2004 -----
% 1.70/1.94 The process was started by sandbox2 on n007.cluster.edu,
% 1.70/1.94 Wed Jul 27 05:34:46 2022
% 1.70/1.94 The command was "./otter". The process ID is 3702.
% 1.70/1.94
% 1.70/1.94 set(prolog_style_variables).
% 1.70/1.94 set(auto).
% 1.70/1.94 dependent: set(auto1).
% 1.70/1.94 dependent: set(process_input).
% 1.70/1.94 dependent: clear(print_kept).
% 1.70/1.94 dependent: clear(print_new_demod).
% 1.70/1.94 dependent: clear(print_back_demod).
% 1.70/1.94 dependent: clear(print_back_sub).
% 1.70/1.94 dependent: set(control_memory).
% 1.70/1.94 dependent: assign(max_mem, 12000).
% 1.70/1.94 dependent: assign(pick_given_ratio, 4).
% 1.70/1.94 dependent: assign(stats_level, 1).
% 1.70/1.94 dependent: assign(max_seconds, 10800).
% 1.70/1.94 clear(print_given).
% 1.70/1.94
% 1.70/1.94 list(usable).
% 1.70/1.94 0 [] A=A.
% 1.70/1.94 0 [] c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.70/1.94 0 [] 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))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.94 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_evso,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.94 0 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg).
% 1.70/1.94 0 [] V_U!=c_Message_Omsg_OKey(v_K)|v_NA!=v_NAa.
% 1.70/1.94 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).
% 1.70/1.94 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.
% 1.70/1.94 end_of_list.
% 1.70/1.94
% 1.70/1.94 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.70/1.94
% 1.70/1.94 This ia a non-Horn set with equality. The strategy will be
% 1.70/1.94 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.70/1.94 deletion, with positive clauses in sos and nonpositive
% 1.70/1.94 clauses in usable.
% 1.70/1.94
% 1.70/1.94 dependent: set(knuth_bendix).
% 1.70/1.94 dependent: set(anl_eq).
% 1.70/1.94 dependent: set(para_from).
% 1.70/1.94 dependent: set(para_into).
% 1.70/1.94 dependent: clear(para_from_right).
% 1.70/1.94 dependent: clear(para_into_right).
% 1.70/1.94 dependent: set(para_from_vars).
% 1.70/1.94 dependent: set(eq_units_both_ways).
% 1.70/1.94 dependent: set(dynamic_demod_all).
% 1.70/1.94 dependent: set(dynamic_demod).
% 1.70/1.94 dependent: set(order_eq).
% 1.70/1.94 dependent: set(back_demod).
% 1.70/1.94 dependent: set(lrpo).
% 1.70/1.94 dependent: set(hyper_res).
% 1.70/1.94 dependent: set(unit_deletion).
% 1.70/1.94 dependent: set(factor).
% 1.70/1.94
% 1.70/1.94 ------------> process usable:
% 1.70/1.94 ** KEPT (pick-wt=8): 1 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg).
% 1.70/1.94 ** KEPT (pick-wt=7): 3 [copy,2,flip.2] A!=c_Message_Omsg_OKey(v_K)|v_NAa!=v_NA.
% 1.70/1.94 ** KEPT (pick-wt=45): 4 [] -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).
% 1.70/1.94 ** KEPT (pick-wt=54): 5 [] -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.
% 1.70/1.94
% 1.70/1.94 ------------> process sos:
% 1.70/1.94 ** KEPT (pick-wt=3): 6 [] A=A.
% 1.70/1.94 ** KEPT (pick-wt=5): 7 [] c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.70/1.94 ** KEPT (pick-wt=24): 8 [] 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))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.94 ** KEPT (pick-wt=22): 9 [] 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_evso,tc_Event_Oevent),tc_Event_Oevent).
% 1.70/1.94 Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] A=A.
% 1.70/1.94
% 1.70/1.94 ======= end of input processing =======
% 1.70/1.94
% 1.70/1.94 =========== start of search ===========
% 1.70/1.94
% 1.70/1.94 -------- PROOF --------
% 1.70/1.94
% 1.70/1.94 ----> UNIT CONFLICT at 0.01 sec ----> 87 [binary,86.1,6.1] $F.
% 1.70/1.94
% 1.70/1.94 Length of proof is 4. Level of proof is 3.
% 1.70/1.94
% 1.70/1.94 ---------------- PROOF ----------------
% 1.70/1.94 % SZS status Unsatisfiable
% 1.70/1.94 % SZS output start Refutation
% See solution above
% 1.70/1.94 ------------ end of proof -------------
% 1.70/1.94
% 1.70/1.94
% 1.70/1.94 Search stopped by max_proofs option.
% 1.70/1.94
% 1.70/1.94
% 1.70/1.94 Search stopped by max_proofs option.
% 1.70/1.94
% 1.70/1.94 ============ end of search ============
% 1.70/1.94
% 1.70/1.94 -------------- statistics -------------
% 1.70/1.94 clauses given 5
% 1.70/1.94 clauses generated 50
% 1.70/1.94 clauses kept 84
% 1.70/1.94 clauses forward subsumed 1
% 1.70/1.94 clauses back subsumed 0
% 1.70/1.94 Kbytes malloced 2929
% 1.70/1.94
% 1.70/1.94 ----------- times (seconds) -----------
% 1.70/1.94 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.70/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.94 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.70/1.94
% 1.70/1.94 That finishes the proof of the theorem.
% 1.70/1.94
% 1.70/1.94 Process 3702 finished Wed Jul 27 05:34:47 2022
% 1.70/1.94 Otter interrupted
% 1.70/1.95 PROOF FOUND
%------------------------------------------------------------------------------