TSTP Solution File: SWV362-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV362-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 13:20:36 EDT 2022
% Result : Unsatisfiable 1.72s 1.91s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 9 unt; 1 nHn; 10 RR)
% Number of literals : 14 ( 2 equ; 5 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 13 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,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)
| E = L ),
file('SWV362-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV362-2.p',unknown),
[] ).
cnf(3,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('SWV362-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV362-2.p',unknown),
[] ).
cnf(6,axiom,
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_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV362-2.p',unknown),
[] ).
cnf(7,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV362-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('SWV362-2.p',unknown),
[] ).
cnf(37,plain,
v_Aa = v_A,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7,1,5,6]),3]),
[iquote('hyper,7,1,5,6,unit_del,3')] ).
cnf(61,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[8]),37]),
[iquote('back_demod,8,demod,37')] ).
cnf(62,plain,
$false,
inference(binary,[status(thm)],[61,2]),
[iquote('binary,61.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV362-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n028.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 06:00:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.72/1.90 ----- Otter 3.3f, August 2004 -----
% 1.72/1.90 The process was started by sandbox on n028.cluster.edu,
% 1.72/1.90 Wed Jul 27 06:00:19 2022
% 1.72/1.90 The command was "./otter". The process ID is 17982.
% 1.72/1.90
% 1.72/1.90 set(prolog_style_variables).
% 1.72/1.90 set(auto).
% 1.72/1.90 dependent: set(auto1).
% 1.72/1.90 dependent: set(process_input).
% 1.72/1.90 dependent: clear(print_kept).
% 1.72/1.90 dependent: clear(print_new_demod).
% 1.72/1.90 dependent: clear(print_back_demod).
% 1.72/1.90 dependent: clear(print_back_sub).
% 1.72/1.90 dependent: set(control_memory).
% 1.72/1.90 dependent: assign(max_mem, 12000).
% 1.72/1.90 dependent: assign(pick_given_ratio, 4).
% 1.72/1.90 dependent: assign(stats_level, 1).
% 1.72/1.90 dependent: assign(max_seconds, 10800).
% 1.72/1.90 clear(print_given).
% 1.72/1.90
% 1.72/1.90 list(usable).
% 1.72/1.90 0 [] A=A.
% 1.72/1.90 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_A_H=V_A.
% 1.72/1.90 0 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.72/1.90 0 [] c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.72/1.90 0 [] 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_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.72/1.90 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_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.72/1.90 0 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).
% 1.72/1.90 0 [] c_in(v_Aa,c_Event_Obad,tc_Message_Oagent).
% 1.72/1.90 end_of_list.
% 1.72/1.90
% 1.72/1.90 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.72/1.90
% 1.72/1.90 This ia a non-Horn set with equality. The strategy will be
% 1.72/1.90 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.72/1.90 deletion, with positive clauses in sos and nonpositive
% 1.72/1.90 clauses in usable.
% 1.72/1.90
% 1.72/1.90 dependent: set(knuth_bendix).
% 1.72/1.90 dependent: set(anl_eq).
% 1.72/1.90 dependent: set(para_from).
% 1.72/1.90 dependent: set(para_into).
% 1.72/1.90 dependent: clear(para_from_right).
% 1.72/1.90 dependent: clear(para_into_right).
% 1.72/1.90 dependent: set(para_from_vars).
% 1.72/1.90 dependent: set(eq_units_both_ways).
% 1.72/1.90 dependent: set(dynamic_demod_all).
% 1.72/1.90 dependent: set(dynamic_demod).
% 1.72/1.90 dependent: set(order_eq).
% 1.72/1.90 dependent: set(back_demod).
% 1.72/1.90 dependent: set(lrpo).
% 1.72/1.90 dependent: set(hyper_res).
% 1.72/1.90 dependent: set(unit_deletion).
% 1.72/1.90 dependent: set(factor).
% 1.72/1.90
% 1.72/1.90 ------------> process usable:
% 1.72/1.90 ** KEPT (pick-wt=54): 1 [] -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)|E=L.
% 1.72/1.90 ** KEPT (pick-wt=4): 2 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.72/1.90 ** KEPT (pick-wt=8): 3 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).
% 1.72/1.90
% 1.72/1.90 ------------> process sos:
% 1.72/1.90 ** KEPT (pick-wt=3): 4 [] A=A.
% 1.72/1.90 ** KEPT (pick-wt=5): 5 [] c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.72/1.91 ** KEPT (pick-wt=21): 6 [] 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_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.72/1.91 ** KEPT (pick-wt=22): 7 [] 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_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.72/1.91 ** KEPT (pick-wt=4): 8 [] c_in(v_Aa,c_Event_Obad,tc_Message_Oagent).
% 1.72/1.91 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A.
% 1.72/1.91
% 1.72/1.91 ======= end of input processing =======
% 1.72/1.91
% 1.72/1.91 =========== start of search ===========
% 1.72/1.91
% 1.72/1.91 -------- PROOF --------
% 1.72/1.91
% 1.72/1.91 ----> UNIT CONFLICT at 0.00 sec ----> 62 [binary,61.1,2.1] $F.
% 1.72/1.91
% 1.72/1.91 Length of proof is 2. Level of proof is 2.
% 1.72/1.91
% 1.72/1.91 ---------------- PROOF ----------------
% 1.72/1.91 % SZS status Unsatisfiable
% 1.72/1.91 % SZS output start Refutation
% See solution above
% 1.72/1.91 ------------ end of proof -------------
% 1.72/1.91
% 1.72/1.91
% 1.72/1.91 Search stopped by max_proofs option.
% 1.72/1.91
% 1.72/1.91
% 1.72/1.91 Search stopped by max_proofs option.
% 1.72/1.91
% 1.72/1.91 ============ end of search ============
% 1.72/1.91
% 1.72/1.91 -------------- statistics -------------
% 1.72/1.91 clauses given 5
% 1.72/1.91 clauses generated 28
% 1.72/1.91 clauses kept 60
% 1.72/1.91 clauses forward subsumed 1
% 1.72/1.91 clauses back subsumed 0
% 1.72/1.91 Kbytes malloced 1953
% 1.72/1.91
% 1.72/1.91 ----------- times (seconds) -----------
% 1.72/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.91 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.72/1.91
% 1.72/1.91 That finishes the proof of the theorem.
% 1.72/1.91
% 1.72/1.91 Process 17982 finished Wed Jul 27 06:00:20 2022
% 1.72/1.91 Otter interrupted
% 1.72/1.91 PROOF FOUND
%------------------------------------------------------------------------------