TSTP Solution File: SWV308-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV308-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n025.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 21:37:52 EDT 2022

% Result   : Unsatisfiable 9.16s 9.34s
% Output   : Refutation 9.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV308-2 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.15  % Command  : sos-script %s
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 00:02:40 EDT 2022
% 0.23/0.36  % CPUTime  : 
% 0.23/0.39  ----- Otter 3.2, August 2001 -----
% 0.23/0.39  The process was started by sandbox on n025.cluster.edu,
% 0.23/0.39  Wed Jun 15 00:02:40 2022
% 0.23/0.39  The command was "./sos".  The process ID is 19449.
% 0.23/0.39  
% 0.23/0.39  set(prolog_style_variables).
% 0.23/0.39  set(auto).
% 0.23/0.39     dependent: set(auto1).
% 0.23/0.39     dependent: set(process_input).
% 0.23/0.39     dependent: clear(print_kept).
% 0.23/0.39     dependent: clear(print_new_demod).
% 0.23/0.39     dependent: clear(print_back_demod).
% 0.23/0.39     dependent: clear(print_back_sub).
% 0.23/0.39     dependent: set(control_memory).
% 0.23/0.39     dependent: assign(max_mem, 12000).
% 0.23/0.39     dependent: assign(pick_given_ratio, 4).
% 0.23/0.39     dependent: assign(stats_level, 1).
% 0.23/0.39     dependent: assign(pick_semantic_ratio, 3).
% 0.23/0.39     dependent: assign(sos_limit, 5000).
% 0.23/0.39     dependent: assign(max_weight, 60).
% 0.23/0.39  clear(print_given).
% 0.23/0.39  
% 0.23/0.39  list(usable).
% 0.23/0.39  
% 0.23/0.39  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 0.23/0.39  
% 0.23/0.39  This is a non-Horn set without equality.  The strategy
% 0.23/0.39  will be ordered hyper_res, ur_res, unit deletion, and
% 0.23/0.39  factoring, with satellites in sos and nuclei in usable.
% 0.23/0.39  
% 0.23/0.39     dependent: set(hyper_res).
% 0.23/0.39     dependent: set(factor).
% 0.23/0.39     dependent: set(unit_deletion).
% 0.23/0.39  
% 0.23/0.39  ------------> process usable:
% 0.23/0.39  
% 0.23/0.39  ------------> process sos:
% 0.23/0.39  
% 0.23/0.39  ======= end of input processing =======
% 9.12/9.33  
% 9.12/9.33  Stopped by limit on insertions
% 9.12/9.33  
% 9.12/9.33  Stopped by limit on insertions
% 9.12/9.33  
% 9.12/9.33  Stopped by limit on insertions
% 9.12/9.33  
% 9.12/9.33  Stopped by limit on insertions
% 9.12/9.33  
% 9.12/9.33  Stopped by limit on insertions
% 9.12/9.33  
% 9.12/9.33  
% 9.12/9.33  Failed to model usable list: disabling FINDER
% 9.12/9.33  
% 9.12/9.33  
% 9.12/9.33  
% 9.12/9.33  -------------- Softie stats --------------
% 9.12/9.33  
% 9.12/9.33  UPDATE_STOP: 300
% 9.12/9.33  SFINDER_TIME_LIMIT: 2
% 9.12/9.33  SHORT_CLAUSE_CUTOFF: 4
% 9.12/9.33  number of clauses in intial UL: 13
% 9.12/9.33  number of clauses initially in problem: 17
% 9.12/9.33  percentage of clauses intially in UL: 76
% 9.12/9.33  percentage of distinct symbols occuring in initial UL: 82
% 9.12/9.33  percent of all initial clauses that are short: 94
% 9.12/9.33  absolute distinct symbol count: 35
% 9.12/9.33     distinct predicate count: 1
% 9.12/9.33     distinct function count: 17
% 9.12/9.33     distinct constant count: 17
% 9.12/9.33  
% 9.12/9.33  ---------- no more Softie stats ----------
% 9.12/9.33  
% 9.12/9.33  
% 9.12/9.33  
% 9.12/9.33  =========== start of search ===========
% 9.16/9.34  
% 9.16/9.34  -------- PROOF -------- 
% 9.16/9.34  % SZS status Unsatisfiable
% 9.16/9.34  % SZS output start Refutation
% 9.16/9.34  
% 9.16/9.34  ----> UNIT CONFLICT at   8.92 sec ----> 240 [binary,239.1,11.1] {+} $F.
% 9.16/9.34  
% 9.16/9.34  Length of proof is 18.  Level of proof is 14.
% 9.16/9.34  
% 9.16/9.34  ---------------- PROOF ----------------
% 9.16/9.34  % SZS status Unsatisfiable
% 9.16/9.34  % SZS output start Refutation
% 9.16/9.34  
% 9.16/9.34  1 [] {+} -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).
% 9.16/9.34  2 [] {+} -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg).
% 9.16/9.34  3 [] {+} -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).
% 9.16/9.34  4 [] {+} -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(C),tc_Message_Omsg).
% 9.16/9.34  5 [] {+} -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 9.16/9.34  6 [] {+} -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 9.16/9.34  7 [] {+} -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Osynth(B),tc_Message_Omsg).
% 9.16/9.34  8 [] {+} -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).
% 9.16/9.34  9 [] {+} -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent).
% 9.16/9.34  10 [] {+} -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 9.16/9.34  11 [] {+} -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 9.16/9.34  12 [] {+} -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 9.16/9.34  14 [] {-} c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 9.16/9.34  15 [] {-} c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),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).
% 9.16/9.34  16 [] {-} 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg).
% 9.16/9.34  17 [] {-} c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg).
% 9.16/9.34  19 [hyper,15,8,14] {-} c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),v_evs4),v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),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).
% 9.16/9.34  22 [hyper,19,1] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),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).
% 9.16/9.34  26 [hyper,22,4] {-} c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),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).
% 9.16/9.34  50 [hyper,26,5] {-} c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 9.16/9.34  52 [hyper,50,7] {-} c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg).
% 9.16/9.34  57 [hyper,52,3,17] {-} c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(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).
% 9.16/9.34  58 [hyper,52,3,16] {-} 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_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).
% 9.16/9.34  98 [hyper,57,10] {-} c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg).
% 9.16/9.34  104 [hyper,58,10] {-} 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_evs4)),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_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg).
% 9.16/9.34  132 [hyper,98,2] {-} c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 9.16/9.34  145 [hyper,104,2] {-} 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_evs4)),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_B)))),c_Message_Oanalz(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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 9.17/9.34  179 [hyper,132,6,factor_simp] {-} c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 9.17/9.34  211 [hyper,145,6,factor_simp] {-} 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_evs4)),tc_Message_Omsg)|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).
% 9.17/9.34  218 [hyper,211,6] {-} 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_evs4)),tc_Message_Omsg)|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).
% 9.17/9.34  222 [hyper,218,9,14,unit_del,11] {-} 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_evs4)),tc_Message_Omsg).
% 9.17/9.34  234 [hyper,179,12,222] {-} 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).
% 9.17/9.34  238 [hyper,234,6] {-} 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).
% 9.17/9.34  239 [hyper,238,9,14] {-} c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 9.17/9.34  240 [binary,239.1,11.1] {+} $F.
% 9.17/9.34  
% 9.17/9.34  % SZS output end Refutation
% 9.17/9.34  ------------ end of proof -------------
% 9.17/9.34  
% 9.17/9.34  
% 9.17/9.34  Search stopped by max_proofs option.
% 9.17/9.34  
% 9.17/9.34  
% 9.17/9.34  Search stopped by max_proofs option.
% 9.17/9.34  
% 9.17/9.34  ============ end of search ============
% 9.17/9.34  
% 9.17/9.34  That finishes the proof of the theorem.
% 9.17/9.34  
% 9.17/9.34  Process 19449 finished Wed Jun 15 00:02:49 2022
%------------------------------------------------------------------------------