TSTP Solution File: SWV347-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV347-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:20:33 EDT 2022
% Result : Unsatisfiable 1.61s 1.80s
% Output : Refutation 1.61s
% 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('SWV347-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV347-2.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('SWV347-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('SWV347-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV347-2.p',unknown),
[] ).
cnf(7,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('SWV347-2.p',unknown),
[] ).
cnf(8,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('SWV347-2.p',unknown),
[] ).
cnf(37,plain,
v_Aa = v_A,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[8,1,6,7]),3]),
[iquote('hyper,8,1,6,7,unit_del,3')] ).
cnf(62,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5]),37]),
[iquote('back_demod,5,demod,37')] ).
cnf(63,plain,
$false,
inference(binary,[status(thm)],[62,2]),
[iquote('binary,62.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV347-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 06:03:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.61/1.79 ----- Otter 3.3f, August 2004 -----
% 1.61/1.79 The process was started by sandbox on n003.cluster.edu,
% 1.61/1.79 Wed Jul 27 06:03:56 2022
% 1.61/1.79 The command was "./otter". The process ID is 12865.
% 1.61/1.79
% 1.61/1.79 set(prolog_style_variables).
% 1.61/1.79 set(auto).
% 1.61/1.79 dependent: set(auto1).
% 1.61/1.79 dependent: set(process_input).
% 1.61/1.79 dependent: clear(print_kept).
% 1.61/1.79 dependent: clear(print_new_demod).
% 1.61/1.79 dependent: clear(print_back_demod).
% 1.61/1.79 dependent: clear(print_back_sub).
% 1.61/1.79 dependent: set(control_memory).
% 1.61/1.79 dependent: assign(max_mem, 12000).
% 1.61/1.79 dependent: assign(pick_given_ratio, 4).
% 1.61/1.79 dependent: assign(stats_level, 1).
% 1.61/1.79 dependent: assign(max_seconds, 10800).
% 1.61/1.79 clear(print_given).
% 1.61/1.79
% 1.61/1.79 list(usable).
% 1.61/1.79 0 [] A=A.
% 1.61/1.79 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.
% 1.61/1.79 0 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.61/1.79 0 [] c_in(v_Aa,c_Event_Obad,tc_Message_Oagent).
% 1.61/1.79 0 [] c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.61/1.79 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).
% 1.61/1.79 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).
% 1.61/1.79 0 [] -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).
% 1.61/1.79 end_of_list.
% 1.61/1.79
% 1.61/1.79 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.61/1.79
% 1.61/1.79 This ia a non-Horn set with equality. The strategy will be
% 1.61/1.79 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.61/1.79 deletion, with positive clauses in sos and nonpositive
% 1.61/1.79 clauses in usable.
% 1.61/1.79
% 1.61/1.79 dependent: set(knuth_bendix).
% 1.61/1.79 dependent: set(anl_eq).
% 1.61/1.79 dependent: set(para_from).
% 1.61/1.79 dependent: set(para_into).
% 1.61/1.79 dependent: clear(para_from_right).
% 1.61/1.79 dependent: clear(para_into_right).
% 1.61/1.79 dependent: set(para_from_vars).
% 1.61/1.79 dependent: set(eq_units_both_ways).
% 1.61/1.79 dependent: set(dynamic_demod_all).
% 1.61/1.79 dependent: set(dynamic_demod).
% 1.61/1.79 dependent: set(order_eq).
% 1.61/1.79 dependent: set(back_demod).
% 1.61/1.79 dependent: set(lrpo).
% 1.61/1.79 dependent: set(hyper_res).
% 1.61/1.79 dependent: set(unit_deletion).
% 1.61/1.79 dependent: set(factor).
% 1.61/1.79
% 1.61/1.79 ------------> process usable:
% 1.61/1.79 ** 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.
% 1.61/1.79 ** KEPT (pick-wt=4): 2 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.61/1.79 ** 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).
% 1.61/1.79
% 1.61/1.79 ------------> process sos:
% 1.61/1.79 ** KEPT (pick-wt=3): 4 [] A=A.
% 1.61/1.79 ** KEPT (pick-wt=4): 5 [] c_in(v_Aa,c_Event_Obad,tc_Message_Oagent).
% 1.61/1.80 ** KEPT (pick-wt=5): 6 [] c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.61/1.80 ** KEPT (pick-wt=21): 7 [] 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).
% 1.61/1.80 ** KEPT (pick-wt=22): 8 [] 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).
% 1.61/1.80 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A.
% 1.61/1.80
% 1.61/1.80 ======= end of input processing =======
% 1.61/1.80
% 1.61/1.80 =========== start of search ===========
% 1.61/1.80
% 1.61/1.80 -------- PROOF --------
% 1.61/1.80
% 1.61/1.80 ----> UNIT CONFLICT at 0.00 sec ----> 63 [binary,62.1,2.1] $F.
% 1.61/1.80
% 1.61/1.80 Length of proof is 2. Level of proof is 2.
% 1.61/1.80
% 1.61/1.80 ---------------- PROOF ----------------
% 1.61/1.80 % SZS status Unsatisfiable
% 1.61/1.80 % SZS output start Refutation
% See solution above
% 1.61/1.80 ------------ end of proof -------------
% 1.61/1.80
% 1.61/1.80
% 1.61/1.80 Search stopped by max_proofs option.
% 1.61/1.80
% 1.61/1.80
% 1.61/1.80 Search stopped by max_proofs option.
% 1.61/1.80
% 1.61/1.80 ============ end of search ============
% 1.61/1.80
% 1.61/1.80 -------------- statistics -------------
% 1.61/1.80 clauses given 5
% 1.61/1.80 clauses generated 28
% 1.61/1.80 clauses kept 61
% 1.61/1.80 clauses forward subsumed 1
% 1.61/1.80 clauses back subsumed 0
% 1.61/1.80 Kbytes malloced 1953
% 1.61/1.80
% 1.61/1.80 ----------- times (seconds) -----------
% 1.61/1.80 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.61/1.80 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.61/1.80 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.61/1.80
% 1.61/1.80 That finishes the proof of the theorem.
% 1.61/1.80
% 1.61/1.80 Process 12865 finished Wed Jul 27 06:03:58 2022
% 1.61/1.80 Otter interrupted
% 1.61/1.80 PROOF FOUND
%------------------------------------------------------------------------------