TSTP Solution File: SWV323-2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV323-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 : 600s
% DateTime : Wed Jul 20 21:37:57 EDT 2022
% Result : Unsatisfiable 3.26s 3.46s
% Output : Refutation 3.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV323-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 03:19:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n020.cluster.edu,
% 0.12/0.35 Wed Jun 15 03:19:19 2022
% 0.12/0.35 The command was "./sos". The process ID is 6169.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 0.12/0.35
% 0.12/0.35 This is a non-Horn set without equality. The strategy
% 0.12/0.35 will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.35 factoring, with satellites in sos and nuclei in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 1.81/2.03
% 1.81/2.03 Stopped by limit on insertions
% 1.81/2.03
% 1.81/2.03 Stopped by limit on insertions
% 1.81/2.03
% 1.81/2.03 Stopped by limit on insertions
% 1.81/2.03
% 1.81/2.03 Stopped by limit on insertions
% 1.81/2.03
% 1.81/2.03 Stopped by limit on insertions
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 Failed to model usable list: disabling FINDER
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 -------------- Softie stats --------------
% 1.81/2.03
% 1.81/2.03 UPDATE_STOP: 300
% 1.81/2.03 SFINDER_TIME_LIMIT: 2
% 1.81/2.03 SHORT_CLAUSE_CUTOFF: 4
% 1.81/2.03 number of clauses in intial UL: 15
% 1.81/2.03 number of clauses initially in problem: 18
% 1.81/2.03 percentage of clauses intially in UL: 83
% 1.81/2.03 percentage of distinct symbols occuring in initial UL: 80
% 1.81/2.03 percent of all initial clauses that are short: 88
% 1.81/2.03 absolute distinct symbol count: 30
% 1.81/2.03 distinct predicate count: 1
% 1.81/2.03 distinct function count: 16
% 1.81/2.03 distinct constant count: 13
% 1.81/2.03
% 1.81/2.03 ---------- no more Softie stats ----------
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 =========== start of search ===========
% 2.23/2.44
% 2.23/2.44
% 2.23/2.44 Changing weight limit from 60 to 27.
% 2.23/2.44
% 2.23/2.44 Modelling stopped after 300 given clauses and 0.00 seconds
% 2.23/2.44
% 2.23/2.44
% 2.23/2.44 Resetting weight limit to 27 after 2625 givens.
% 2.23/2.44
% 2.23/2.44
% 2.23/2.44
% 2.23/2.44 Changing weight limit from 27 to 26.
% 2.23/2.44
% 2.23/2.44 Resetting weight limit to 26 after 2630 givens.
% 2.23/2.44
% 2.23/2.45
% 2.23/2.45
% 2.23/2.45 Changing weight limit from 26 to 25.
% 2.23/2.45
% 2.23/2.45 Resetting weight limit to 25 after 2635 givens.
% 2.23/2.45
% 2.23/2.45
% 2.23/2.45
% 2.23/2.45 Changing weight limit from 25 to 24.
% 2.23/2.45
% 2.23/2.45 Resetting weight limit to 24 after 2640 givens.
% 2.23/2.45
% 2.23/2.46
% 2.23/2.46
% 2.23/2.46 Changing weight limit from 24 to 23.
% 2.23/2.46
% 2.23/2.46 Resetting weight limit to 23 after 2650 givens.
% 2.23/2.46
% 2.23/2.47
% 2.23/2.47
% 2.23/2.47 Changing weight limit from 23 to 22.
% 2.23/2.47
% 2.23/2.47 Resetting weight limit to 22 after 2675 givens.
% 2.23/2.47
% 2.23/2.49
% 2.23/2.49
% 2.23/2.49 Changing weight limit from 22 to 21.
% 2.23/2.49
% 2.23/2.49 Resetting weight limit to 21 after 2710 givens.
% 2.23/2.49
% 2.33/2.58
% 2.33/2.58
% 2.33/2.58 Changing weight limit from 21 to 20.
% 2.33/2.58
% 2.33/2.58 Resetting weight limit to 20 after 2885 givens.
% 2.33/2.58
% 3.12/3.30
% 3.12/3.30
% 3.12/3.30 Changing weight limit from 20 to 19.
% 3.12/3.30
% 3.12/3.30 Resetting weight limit to 19 after 4430 givens.
% 3.12/3.30
% 3.26/3.46
% 3.26/3.46 -------- PROOF --------
% 3.26/3.46 % SZS status Unsatisfiable
% 3.26/3.46 % SZS output start Refutation
% 3.26/3.46
% 3.26/3.46 -----> EMPTY CLAUSE at 3.07 sec ----> 13154 [hyper,13151,2,560] {-} $F.
% 3.26/3.46
% 3.26/3.46 Length of proof is 15. Level of proof is 12.
% 3.26/3.46
% 3.26/3.46 ---------------- PROOF ----------------
% 3.26/3.46 % SZS status Unsatisfiable
% 3.26/3.46 % SZS output start Refutation
% 3.26/3.46
% 3.26/3.46 1 [] {+} c_in(v_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 3.26/3.46 2 [] {+} -c_in(v_A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg).
% 3.26/3.46 3 [] {+} -c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg).
% 3.26/3.46 4 [] {+} -c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg).
% 3.26/3.46 5 [] {+} -c_in(c_Message_Omsg_OKey(A),c_Message_Osynth(B),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(A),B,tc_Message_Omsg).
% 3.26/3.46 6 [] {+} -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 3.26/3.46 7 [] {+} -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 3.26/3.46 8 [] {+} -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 3.26/3.46 9 [] {+} -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 3.26/3.46 10 [] {+} -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Osynth(B),tc_Message_Omsg).
% 3.26/3.46 11 [] {+} -c_in(A,c_OtwayRees_Ootway,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_Event_Oevent_OSays(v_sko__usf(B,C,A),B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 3.26/3.46 12 [] {+} -c_in(A,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg).
% 3.26/3.46 13 [] {+} -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 3.26/3.46 14 [] {+} -c_in(A,B,C)|c_in(A,c_insert(D,B,C),C).
% 3.26/3.46 16 [] {-} c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 3.26/3.46 17 [] {-} c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 3.26/3.46 18 [] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 3.26/3.46 26 [hyper,18,12] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg).
% 3.26/3.46 29 [hyper,17,11,16] {-} c_in(c_Event_Oevent_OSays(v_sko__usf(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),v_evs4),v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 3.26/3.46 71 [hyper,26,14] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg),tc_Message_Omsg).
% 3.26/3.46 129 [hyper,29,3] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 3.26/3.46 131 [hyper,129,10] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg).
% 3.26/3.46 237 [hyper,131,7] {-} c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg).
% 3.26/3.46 560 [hyper,71,9,factor_simp] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg).
% 3.26/3.46 1263 [hyper,237,6] {-} c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg).
% 3.26/3.46 1267 [hyper,1263,4,560] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg).
% 3.26/3.46 3419 [hyper,1267,13] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg).
% 3.26/3.46 13132 [hyper,3419,1] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 3.26/3.46 13140 [hyper,13132,2,560] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg).
% 3.26/3.46 13144 [hyper,13140,5] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 3.26/3.46 13147 [hyper,13144,8] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 3.26/3.46 13151 [hyper,13147,1] {-} c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 3.26/3.46 13154 [hyper,13151,2,560] {-} $F.
% 3.26/3.46
% 3.26/3.46 % SZS output end Refutation
% 3.26/3.46 ------------ end of proof -------------
% 3.26/3.46
% 3.26/3.46
% 3.26/3.46 Search stopped by max_proofs option.
% 3.26/3.46
% 3.26/3.46
% 3.26/3.46 Search stopped by max_proofs option.
% 3.26/3.46
% 3.26/3.46 ============ end of search ============
% 3.26/3.46
% 3.26/3.46 That finishes the proof of the theorem.
% 3.26/3.46
% 3.26/3.46 Process 6169 finished Wed Jun 15 03:19:22 2022
%------------------------------------------------------------------------------