TSTP Solution File: SWV326-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV326-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:20:29 EDT 2022
% Result : Unsatisfiable 1.46s 1.97s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 11 unt; 4 nHn; 21 RR)
% Number of literals : 31 ( 8 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,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('SWV326-2.p',unknown),
[] ).
cnf(2,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('SWV326-2.p',unknown),
[] ).
cnf(3,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('SWV326-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('SWV326-2.p',unknown),
[] ).
cnf(5,axiom,
( v_Ba != v_C
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
file('SWV326-2.p',unknown),
[] ).
cnf(6,plain,
( v_C != v_Ba
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[5])]),
[iquote('copy,5,flip.1')] ).
cnf(8,axiom,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| v_C = v_Ba ),
file('SWV326-2.p',unknown),
[] ).
cnf(9,axiom,
v_A = v_Aa,
file('SWV326-2.p',unknown),
[] ).
cnf(11,plain,
v_Aa = v_A,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[9])]),
[iquote('copy,9,flip.1')] ).
cnf(12,axiom,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('SWV326-2.p',unknown),
[] ).
cnf(14,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[12])]),
[iquote('copy,12,flip.1')] ).
cnf(15,plain,
( v_C != v_Ba
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[6]),11,14,11]),
[iquote('back_demod,6,demod,11,14,11')] ).
cnf(16,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[4]),14]),
[iquote('back_demod,4,demod,14')] ).
cnf(17,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[15,8]),
[iquote('hyper,15,8')] ).
cnf(18,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[17,3]),
[iquote('hyper,17,3')] ).
cnf(24,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[18,2]),
[iquote('hyper,18,2')] ).
cnf(28,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[24,1]),16]),
[iquote('hyper,24,1,unit_del,16')] ).
cnf(29,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(hyper,[status(thm)],[28,3]),
[iquote('hyper,28,3')] ).
cnf(31,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(hyper,[status(thm)],[29,2]),
[iquote('hyper,29,2')] ).
cnf(33,plain,
c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(hyper,[status(thm)],[31,1]),
[iquote('hyper,31,1')] ).
cnf(34,plain,
$false,
inference(binary,[status(thm)],[33,16]),
[iquote('binary,33.1,16.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV326-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 05:49:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.46/1.96 ----- Otter 3.3f, August 2004 -----
% 1.46/1.96 The process was started by sandbox on n022.cluster.edu,
% 1.46/1.96 Wed Jul 27 05:49:35 2022
% 1.46/1.96 The command was "./otter". The process ID is 17903.
% 1.46/1.96
% 1.46/1.96 set(prolog_style_variables).
% 1.46/1.96 set(auto).
% 1.46/1.96 dependent: set(auto1).
% 1.46/1.96 dependent: set(process_input).
% 1.46/1.96 dependent: clear(print_kept).
% 1.46/1.96 dependent: clear(print_new_demod).
% 1.46/1.96 dependent: clear(print_back_demod).
% 1.46/1.96 dependent: clear(print_back_sub).
% 1.46/1.96 dependent: set(control_memory).
% 1.46/1.96 dependent: assign(max_mem, 12000).
% 1.46/1.96 dependent: assign(pick_given_ratio, 4).
% 1.46/1.96 dependent: assign(stats_level, 1).
% 1.46/1.96 dependent: assign(max_seconds, 10800).
% 1.46/1.96 clear(print_given).
% 1.46/1.96
% 1.46/1.96 list(usable).
% 1.46/1.96 0 [] A=A.
% 1.46/1.96 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).
% 1.46/1.96 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).
% 1.46/1.96 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).
% 1.46/1.96 0 [] -c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg).
% 1.46/1.96 0 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)|v_C=v_Ba.
% 1.46/1.96 0 [] v_A=v_Aa.
% 1.46/1.96 0 [] v_Ba!=v_C|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg).
% 1.46/1.96 0 [] v_NA=c_Message_Omsg_ONonce(v_NAa).
% 1.46/1.96 end_of_list.
% 1.46/1.96
% 1.46/1.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=2.
% 1.46/1.96
% 1.46/1.96 This ia a non-Horn set with equality. The strategy will be
% 1.46/1.96 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.46/1.96 deletion, with positive clauses in sos and nonpositive
% 1.46/1.96 clauses in usable.
% 1.46/1.96
% 1.46/1.96 dependent: set(knuth_bendix).
% 1.46/1.96 dependent: set(anl_eq).
% 1.46/1.96 dependent: set(para_from).
% 1.46/1.96 dependent: set(para_into).
% 1.46/1.96 dependent: clear(para_from_right).
% 1.46/1.96 dependent: clear(para_into_right).
% 1.46/1.96 dependent: set(para_from_vars).
% 1.46/1.96 dependent: set(eq_units_both_ways).
% 1.46/1.96 dependent: set(dynamic_demod_all).
% 1.46/1.96 dependent: set(dynamic_demod).
% 1.46/1.96 dependent: set(order_eq).
% 1.46/1.96 dependent: set(back_demod).
% 1.46/1.96 dependent: set(lrpo).
% 1.46/1.96 dependent: set(hyper_res).
% 1.46/1.96 dependent: set(unit_deletion).
% 1.46/1.96 dependent: set(factor).
% 1.46/1.96
% 1.46/1.96 ------------> process usable:
% 1.46/1.96 ** KEPT (pick-wt=12): 1 [] -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).
% 1.46/1.96 ** KEPT (pick-wt=12): 2 [] -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).
% 1.46/1.96 ** KEPT (pick-wt=12): 3 [] -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).
% 1.46/1.96 ** KEPT (pick-wt=6): 4 [] -c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg).
% 1.46/1.96 ** KEPT (pick-wt=20): 6 [copy,5,flip.1] v_C!=v_Ba|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg).
% 1.46/1.96
% 1.46/1.96 ------------> process sos:
% 1.46/1.96 ** KEPT (pick-wt=3): 7 [] A=A.
% 1.46/1.96 ** KEPT (pick-wt=19): 8 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)|v_C=v_Ba.
% 1.46/1.96 ** KEPT (pick-wt=3): 10 [copy,9,flip.1] v_Aa=v_A.
% 1.46/1.96 ---> New Demodulator: 11 [new_demod,10] v_Aa=v_A.
% 1.46/1.96 ** KEPT (pick-wt=4): 13 [copy,12,flip.1] c_Message_Omsg_ONonce(v_NAa)=v_NA.
% 1.46/1.96 ---> New Demodulator: 14 [new_demod,13] c_Message_Omsg_ONonce(v_NAa)=v_NA.
% 1.46/1.96 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 1.46/1.96 >>>> Starting back demodulation with 11.
% 1.46/1.96 >> back demodulating 6 with 11.
% 1.46/1.97 >>>> Starting back demodulation with 14.
% 1.46/1.97 >> back demodulating 4 with 14.
% 1.46/1.97
% 1.46/1.97 ======= end of input processing =======
% 1.46/1.97
% 1.46/1.97 =========== start of search ===========
% 1.46/1.97
% 1.46/1.97 -------- PROOF --------
% 1.46/1.97
% 1.46/1.97 ----> UNIT CONFLICT at 0.00 sec ----> 34 [binary,33.1,16.1] $F.
% 1.46/1.97
% 1.46/1.97 Length of proof is 12. Level of proof is 9.
% 1.46/1.97
% 1.46/1.97 ---------------- PROOF ----------------
% 1.46/1.97 % SZS status Unsatisfiable
% 1.46/1.97 % SZS output start Refutation
% See solution above
% 1.46/1.97 ------------ end of proof -------------
% 1.46/1.97
% 1.46/1.97
% 1.46/1.97 Search stopped by max_proofs option.
% 1.46/1.97
% 1.46/1.97
% 1.46/1.97 Search stopped by max_proofs option.
% 1.46/1.97
% 1.46/1.97 ============ end of search ============
% 1.46/1.97
% 1.46/1.97 -------------- statistics -------------
% 1.46/1.97 clauses given 12
% 1.46/1.97 clauses generated 28
% 1.46/1.97 clauses kept 28
% 1.46/1.97 clauses forward subsumed 12
% 1.46/1.97 clauses back subsumed 12
% 1.46/1.97 Kbytes malloced 976
% 1.46/1.97
% 1.46/1.97 ----------- times (seconds) -----------
% 1.46/1.97 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.46/1.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.46/1.97 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.46/1.97
% 1.46/1.97 That finishes the proof of the theorem.
% 1.46/1.97
% 1.46/1.97 Process 17903 finished Wed Jul 27 05:49:37 2022
% 1.82/1.97 Otter interrupted
% 1.82/1.97 PROOF FOUND
%------------------------------------------------------------------------------