TSTP Solution File: SWV340-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:20:32 EDT 2022
% Result : Unsatisfiable 1.96s 2.14s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 15 unt; 0 nHn; 21 RR)
% Number of literals : 30 ( 3 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-2 aty)
% Number of variables : 19 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg),
file('SWV340-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)
| c_in(A,c_Event_Oused(B),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(3,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('SWV340-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(A,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(B,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(7,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('SWV340-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV340-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(c_Event_Oevent_OGets(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(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV340-2.p',unknown),
[] ).
cnf(11,axiom,
v_K = v_Ka,
file('SWV340-2.p',unknown),
[] ).
cnf(13,plain,
v_Ka = v_K,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[11])]),
[iquote('copy,11,flip.1')] ).
cnf(14,axiom,
c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A),
file('SWV340-2.p',unknown),
[] ).
cnf(16,plain,
c_in(c_Event_Oevent_OGets(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(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[10]),13]),
[iquote('back_demod,10,demod,13')] ).
cnf(17,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)],[14,6]),
[iquote('para_from,14.1.1,6.2.2')] ).
cnf(19,plain,
c_in(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(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[16,7,9]),
[iquote('hyper,16,7,9')] ).
cnf(24,plain,
c_in(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(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[19,17]),
[iquote('hyper,19,17')] ).
cnf(30,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),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_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[24,4]),
[iquote('hyper,24,4')] ).
cnf(49,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),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_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[30,5]),
[iquote('hyper,30,5')] ).
cnf(65,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),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_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[49,3]),
[iquote('hyper,49,3')] ).
cnf(87,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(hyper,[status(thm)],[65,4]),
[iquote('hyper,65,4')] ).
cnf(91,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(hyper,[status(thm)],[87,2]),
[iquote('hyper,87,2')] ).
cnf(92,plain,
$false,
inference(binary,[status(thm)],[91,1]),
[iquote('binary,91.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n023.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 06:32:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.96/2.13 ----- Otter 3.3f, August 2004 -----
% 1.96/2.13 The process was started by sandbox2 on n023.cluster.edu,
% 1.96/2.13 Wed Jul 27 06:32:33 2022
% 1.96/2.13 The command was "./otter". The process ID is 27422.
% 1.96/2.13
% 1.96/2.13 set(prolog_style_variables).
% 1.96/2.13 set(auto).
% 1.96/2.13 dependent: set(auto1).
% 1.96/2.13 dependent: set(process_input).
% 1.96/2.13 dependent: clear(print_kept).
% 1.96/2.13 dependent: clear(print_new_demod).
% 1.96/2.13 dependent: clear(print_back_demod).
% 1.96/2.13 dependent: clear(print_back_sub).
% 1.96/2.13 dependent: set(control_memory).
% 1.96/2.13 dependent: assign(max_mem, 12000).
% 1.96/2.13 dependent: assign(pick_given_ratio, 4).
% 1.96/2.13 dependent: assign(stats_level, 1).
% 1.96/2.13 dependent: assign(max_seconds, 10800).
% 1.96/2.13 clear(print_given).
% 1.96/2.13
% 1.96/2.13 list(usable).
% 1.96/2.13 0 [] A=A.
% 1.96/2.13 0 [] c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.96/2.13 0 [] c_in(c_Event_Oevent_OGets(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(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.96/2.13 0 [] -c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg).
% 1.96/2.13 0 [] v_K=v_Ka.
% 1.96/2.13 0 [] -c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)|c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg).
% 1.96/2.13 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).
% 1.96/2.13 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.96/2.13 0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.96/2.13 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.96/2.13 0 [] c_Message_Oparts(c_Message_Oanalz(V_H))=c_Message_Oparts(V_H).
% 1.96/2.13 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).
% 1.96/2.13 end_of_list.
% 1.96/2.13
% 1.96/2.13 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 1.96/2.13
% 1.96/2.13 This is a Horn set with equality. The strategy will be
% 1.96/2.13 Knuth-Bendix and hyper_res, with positive clauses in
% 1.96/2.13 sos and nonpositive clauses in usable.
% 1.96/2.13
% 1.96/2.13 dependent: set(knuth_bendix).
% 1.96/2.13 dependent: set(anl_eq).
% 1.96/2.13 dependent: set(para_from).
% 1.96/2.13 dependent: set(para_into).
% 1.96/2.13 dependent: clear(para_from_right).
% 1.96/2.13 dependent: clear(para_into_right).
% 1.96/2.13 dependent: set(para_from_vars).
% 1.96/2.13 dependent: set(eq_units_both_ways).
% 1.96/2.13 dependent: set(dynamic_demod_all).
% 1.96/2.13 dependent: set(dynamic_demod).
% 1.96/2.13 dependent: set(order_eq).
% 1.96/2.13 dependent: set(back_demod).
% 1.96/2.13 dependent: set(lrpo).
% 1.96/2.13 dependent: set(hyper_res).
% 1.96/2.13 dependent: clear(order_hyper).
% 1.96/2.13
% 1.96/2.13 ------------> process usable:
% 1.96/2.13 ** KEPT (pick-wt=6): 1 [] -c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg).
% 1.96/2.13 ** KEPT (pick-wt=12): 2 [] -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)|c_in(A,c_Event_Oused(B),tc_Message_Omsg).
% 1.96/2.13 ** KEPT (pick-wt=12): 3 [] -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).
% 1.96/2.13 ** KEPT (pick-wt=12): 4 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 1.96/2.13 ** KEPT (pick-wt=12): 5 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(B,c_Message_Oparts(C),tc_Message_Omsg).
% 1.96/2.13 ** KEPT (pick-wt=9): 6 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.96/2.13 ** KEPT (pick-wt=20): 7 [] -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).
% 1.96/2.13
% 1.96/2.13 ------------> process sos:
% 1.96/2.13 ** KEPT (pick-wt=3): 8 [] A=A.
% 1.96/2.13 ** KEPT (pick-wt=5): 9 [] c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 1.96/2.13 ** KEPT (pick-wt=23): 10 [] c_in(c_Event_Oevent_OGets(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(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 1.96/2.14 ** KEPT (pick-wt=3): 12 [copy,11,flip.1] v_Ka=v_K.
% 1.96/2.14 ---> New Demodulator: 13 [new_demod,12] v_Ka=v_K.
% 1.96/2.14 ** KEPT (pick-wt=6): 14 [] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 1.96/2.14 ---> New Demodulator: 15 [new_demod,14] c_Message_Oparts(c_Message_Oanalz(A))=c_Message_Oparts(A).
% 1.96/2.14 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] A=A.
% 1.96/2.14 >>>> Starting back demodulation with 13.
% 1.96/2.14 >> back demodulating 10 with 13.
% 1.96/2.14 >>>> Starting back demodulation with 15.
% 1.96/2.14
% 1.96/2.14 ======= end of input processing =======
% 1.96/2.14
% 1.96/2.14 =========== start of search ===========
% 1.96/2.14
% 1.96/2.14 -------- PROOF --------
% 1.96/2.14
% 1.96/2.14 ----> UNIT CONFLICT at 0.00 sec ----> 92 [binary,91.1,1.1] $F.
% 1.96/2.14
% 1.96/2.14 Length of proof is 10. Level of proof is 9.
% 1.96/2.14
% 1.96/2.14 ---------------- PROOF ----------------
% 1.96/2.14 % SZS status Unsatisfiable
% 1.96/2.14 % SZS output start Refutation
% See solution above
% 1.96/2.14 ------------ end of proof -------------
% 1.96/2.14
% 1.96/2.14
% 1.96/2.14 Search stopped by max_proofs option.
% 1.96/2.14
% 1.96/2.14
% 1.96/2.14 Search stopped by max_proofs option.
% 1.96/2.14
% 1.96/2.14 ============ end of search ============
% 1.96/2.14
% 1.96/2.14 -------------- statistics -------------
% 1.96/2.14 clauses given 64
% 1.96/2.14 clauses generated 93
% 1.96/2.14 clauses kept 88
% 1.96/2.14 clauses forward subsumed 19
% 1.96/2.14 clauses back subsumed 0
% 1.96/2.14 Kbytes malloced 1953
% 1.96/2.14
% 1.96/2.14 ----------- times (seconds) -----------
% 1.96/2.14 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.14 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.14 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.96/2.14
% 1.96/2.14 That finishes the proof of the theorem.
% 1.96/2.14
% 1.96/2.14 Process 27422 finished Wed Jul 27 06:32:35 2022
% 1.96/2.14 Otter interrupted
% 1.96/2.14 PROOF FOUND
%------------------------------------------------------------------------------