TSTP Solution File: SWV359-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV359-2 : 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 13:20:35 EDT 2022
% Result : Unsatisfiable 1.75s 1.94s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 13 unt; 0 nHn; 18 RR)
% Number of literals : 28 ( 1 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% Number of variables : 23 ( 10 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_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg) ),
file('SWV359-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(B,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV359-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV359-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,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,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) ),
file('SWV359-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(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_ONonce(E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(F),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(G),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(E),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) ),
file('SWV359-2.p',unknown),
[] ).
cnf(6,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('SWV359-2.p',unknown),
[] ).
cnf(8,axiom,
c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A),
file('SWV359-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV359-2.p',unknown),
[] ).
cnf(11,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_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV359-2.p',unknown),
[] ).
cnf(12,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('SWV359-2.p',unknown),
[] ).
cnf(13,plain,
( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
inference(para_from,[status(thm),theory(equality)],[8,3]),
[iquote('para_from,8.1.1,3.2.2')] ).
cnf(16,plain,
c_in(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_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[11,4,10]),
[iquote('hyper,11,4,10')] ).
cnf(21,plain,
c_in(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_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
inference(hyper,[status(thm)],[12,1]),
[iquote('hyper,12,1')] ).
cnf(25,plain,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[21,3]),
[iquote('hyper,21,3')] ).
cnf(26,plain,
c_in(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_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[16,13]),
[iquote('hyper,16,13')] ).
cnf(29,plain,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[25,2]),
[iquote('hyper,25,2')] ).
cnf(33,plain,
c_in(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_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[26,2]),
[iquote('hyper,26,2')] ).
cnf(34,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(hyper,[status(thm)],[33,5,10,29]),
[iquote('hyper,33,5,10,29')] ).
cnf(35,plain,
$false,
inference(binary,[status(thm)],[34,6]),
[iquote('binary,34.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV359-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Jul 27 05:56:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.75/1.94 ----- Otter 3.3f, August 2004 -----
% 1.75/1.94 The process was started by sandbox on n009.cluster.edu,
% 1.75/1.94 Wed Jul 27 05:56:21 2022
% 1.75/1.94 The command was "./otter". The process ID is 21836.
% 1.75/1.94
% 1.75/1.94 set(prolog_style_variables).
% 1.75/1.94 set(auto).
% 1.75/1.94 dependent: set(auto1).
% 1.75/1.94 dependent: set(process_input).
% 1.75/1.94 dependent: clear(print_kept).
% 1.75/1.94 dependent: clear(print_new_demod).
% 1.75/1.94 dependent: clear(print_back_demod).
% 1.75/1.94 dependent: clear(print_back_sub).
% 1.75/1.94 dependent: set(control_memory).
% 1.75/1.94 dependent: assign(max_mem, 12000).
% 1.75/1.94 dependent: assign(pick_given_ratio, 4).
% 1.75/1.94 dependent: assign(stats_level, 1).
% 1.75/1.94 dependent: assign(max_seconds, 10800).
% 1.75/1.94 clear(print_given).
% 1.75/1.94
% 1.75/1.94 list(usable).
% 1.75/1.94 0 [] A=A.
% 1.75/1.94 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_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg).
% 1.75/1.94 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.75/1.94 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.75/1.94 0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 1.75/1.94 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,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(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.75/1.94 0 [] -c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(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,c_Message_Omsg_ONonce(V_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)| -c_in(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_NB),V_nb_H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.75/1.94 0 [] c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.75/1.94 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_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.75/1.94 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_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.75/1.94 0 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).
% 1.75/1.94 end_of_list.
% 1.75/1.94
% 1.75/1.94 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 1.75/1.94
% 1.75/1.94 This is a Horn set with equality. The strategy will be
% 1.75/1.94 Knuth-Bendix and hyper_res, with positive clauses in
% 1.75/1.94 sos and nonpositive clauses in usable.
% 1.75/1.94
% 1.75/1.94 dependent: set(knuth_bendix).
% 1.75/1.94 dependent: set(anl_eq).
% 1.75/1.94 dependent: set(para_from).
% 1.75/1.94 dependent: set(para_into).
% 1.75/1.94 dependent: clear(para_from_right).
% 1.75/1.94 dependent: clear(para_into_right).
% 1.75/1.94 dependent: set(para_from_vars).
% 1.75/1.94 dependent: set(eq_units_both_ways).
% 1.75/1.94 dependent: set(dynamic_demod_all).
% 1.75/1.94 dependent: set(dynamic_demod).
% 1.75/1.94 dependent: set(order_eq).
% 1.75/1.94 dependent: set(back_demod).
% 1.75/1.94 dependent: set(lrpo).
% 1.75/1.94 dependent: set(hyper_res).
% 1.75/1.94 dependent: clear(order_hyper).
% 1.75/1.94
% 1.75/1.94 ------------> process usable:
% 1.75/1.94 ** KEPT (pick-wt=15): 1 [] -c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|c_in(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg).
% 1.75/1.94 ** KEPT (pick-wt=12): 2 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(B,c_Message_Oparts(C),tc_Message_Omsg).
% 1.75/1.94 ** KEPT (pick-wt=9): 3 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.75/1.94 ** KEPT (pick-wt=20): 4 [] -c_in(A,c_Yahalom_Oyahalom,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,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg).
% 1.75/1.94 ** KEPT (pick-wt=45): 5 [] -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(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_ONonce(E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(F),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(G),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(E),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg).
% 1.75/1.94 ** KEPT (pick-wt=8): 6 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).
% 1.75/1.94
% 1.75/1.94 ------------> process sos:
% 1.75/1.94 ** KEPT (pick-wt=3): 7 [] A=A.
% 1.75/1.94 ** KEPT (pick-wt=6): 8 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 1.75/1.94 ---> New Demodulator: 9 [new_demod,8] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 1.75/1.94 ** KEPT (pick-wt=5): 10 [] c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.75/1.94 ** KEPT (pick-wt=21): 11 [] 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_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.75/1.94 ** KEPT (pick-wt=22): 12 [] 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).
% 1.75/1.94 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 1.75/1.94 >>>> Starting back demodulation with 9.
% 1.75/1.94
% 1.75/1.94 ======= end of input processing =======
% 1.75/1.94
% 1.75/1.94 =========== start of search ===========
% 1.75/1.94
% 1.75/1.94 -------- PROOF --------
% 1.75/1.94
% 1.75/1.94 ----> UNIT CONFLICT at 0.00 sec ----> 35 [binary,34.1,6.1] $F.
% 1.75/1.94
% 1.75/1.94 Length of proof is 8. Level of proof is 4.
% 1.75/1.94
% 1.75/1.94 ---------------- PROOF ----------------
% 1.75/1.94 % SZS status Unsatisfiable
% 1.75/1.94 % SZS output start Refutation
% See solution above
% 1.75/1.94 ------------ end of proof -------------
% 1.75/1.94
% 1.75/1.94
% 1.75/1.94 Search stopped by max_proofs option.
% 1.75/1.94
% 1.75/1.94
% 1.75/1.94 Search stopped by max_proofs option.
% 1.75/1.94
% 1.75/1.94 ============ end of search ============
% 1.75/1.94
% 1.75/1.94 -------------- statistics -------------
% 1.75/1.94 clauses given 22
% 1.75/1.94 clauses generated 27
% 1.75/1.94 clauses kept 33
% 1.75/1.94 clauses forward subsumed 6
% 1.75/1.94 clauses back subsumed 0
% 1.75/1.94 Kbytes malloced 1953
% 1.75/1.94
% 1.75/1.94 ----------- times (seconds) -----------
% 1.75/1.94 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.94 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.75/1.94
% 1.75/1.94 That finishes the proof of the theorem.
% 1.75/1.94
% 1.75/1.94 Process 21836 finished Wed Jul 27 05:56:22 2022
% 1.75/1.94 Otter interrupted
% 1.75/1.94 PROOF FOUND
%------------------------------------------------------------------------------