TSTP Solution File: SWV354-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV354-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n015.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 21:38:09 EDT 2022

% Result   : Unsatisfiable 0.38s 0.60s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV354-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 17:21:40 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.38  ----- Otter 3.2, August 2001 -----
% 0.21/0.38  The process was started by sandbox2 on n015.cluster.edu,
% 0.21/0.38  Wed Jun 15 17:21:40 2022
% 0.21/0.38  The command was "./sos".  The process ID is 826.
% 0.21/0.38  
% 0.21/0.38  set(prolog_style_variables).
% 0.21/0.38  set(auto).
% 0.21/0.38     dependent: set(auto1).
% 0.21/0.38     dependent: set(process_input).
% 0.21/0.38     dependent: clear(print_kept).
% 0.21/0.38     dependent: clear(print_new_demod).
% 0.21/0.38     dependent: clear(print_back_demod).
% 0.21/0.38     dependent: clear(print_back_sub).
% 0.21/0.38     dependent: set(control_memory).
% 0.21/0.38     dependent: assign(max_mem, 12000).
% 0.21/0.38     dependent: assign(pick_given_ratio, 4).
% 0.21/0.38     dependent: assign(stats_level, 1).
% 0.21/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.38     dependent: assign(sos_limit, 5000).
% 0.21/0.38     dependent: assign(max_weight, 60).
% 0.21/0.38  clear(print_given).
% 0.21/0.38  
% 0.21/0.38  list(usable).
% 0.21/0.38  
% 0.21/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.21/0.38  
% 0.21/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.21/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.38  clauses in usable.
% 0.21/0.38  
% 0.21/0.38     dependent: set(knuth_bendix).
% 0.21/0.38     dependent: set(para_from).
% 0.21/0.38     dependent: set(para_into).
% 0.21/0.38     dependent: clear(para_from_right).
% 0.21/0.38     dependent: clear(para_into_right).
% 0.21/0.38     dependent: set(para_from_vars).
% 0.21/0.38     dependent: set(eq_units_both_ways).
% 0.21/0.38     dependent: set(dynamic_demod_all).
% 0.21/0.38     dependent: set(dynamic_demod).
% 0.21/0.38     dependent: set(order_eq).
% 0.21/0.38     dependent: set(back_demod).
% 0.21/0.38     dependent: set(lrpo).
% 0.21/0.38     dependent: set(hyper_res).
% 0.21/0.38     dependent: set(unit_deletion).
% 0.21/0.38     dependent: set(factor).
% 0.21/0.38  
% 0.21/0.38  ------------> process usable:
% 0.21/0.38  
% 0.21/0.38  ------------> process sos:
% 0.21/0.38    Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] {-} A=A.
% 0.21/0.38  
% 0.21/0.38  ======= end of input processing =======
% 0.38/0.59  
% 0.38/0.59  Stopped by limit on insertions
% 0.38/0.59  
% 0.38/0.59  
% 0.38/0.59  Failed to model usable list: disabling FINDER
% 0.38/0.59  
% 0.38/0.59  
% 0.38/0.59  
% 0.38/0.59  -------------- Softie stats --------------
% 0.38/0.59  
% 0.38/0.59  UPDATE_STOP: 300
% 0.38/0.59  SFINDER_TIME_LIMIT: 2
% 0.38/0.59  SHORT_CLAUSE_CUTOFF: 4
% 0.38/0.59  number of clauses in intial UL: 7
% 0.38/0.59  number of clauses initially in problem: 12
% 0.38/0.59  percentage of clauses intially in UL: 58
% 0.38/0.59  percentage of distinct symbols occuring in initial UL: 84
% 0.38/0.59  percent of all initial clauses that are short: 91
% 0.38/0.59  absolute distinct symbol count: 32
% 0.38/0.59     distinct predicate count: 2
% 0.38/0.59     distinct function count: 14
% 0.38/0.59     distinct constant count: 16
% 0.38/0.59  
% 0.38/0.59  ---------- no more Softie stats ----------
% 0.38/0.59  
% 0.38/0.59  
% 0.38/0.59  
% 0.38/0.59  =========== start of search ===========
% 0.38/0.60  
% 0.38/0.60  -------- PROOF -------- 
% 0.38/0.60  % SZS status Unsatisfiable
% 0.38/0.60  % SZS output start Refutation
% 0.38/0.60  
% 0.38/0.60  ----> UNIT CONFLICT at   0.20 sec ----> 72 [binary,71.1,14.1] {-} $F.
% 0.38/0.60  
% 0.38/0.60  Length of proof is 10.  Level of proof is 7.
% 0.38/0.60  
% 0.38/0.60  ---------------- PROOF ----------------
% 0.38/0.60  % SZS status Unsatisfiable
% 0.38/0.60  % SZS output start Refutation
% 0.38/0.60  
% 0.38/0.60  1 [] {-} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,c_Message_Omsg_ONonce(F))))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_ONonce(H),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(D),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(H),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|H=F|D=c_Public_OshrK(v_sko__2VY(D)).
% 0.38/0.60  2 [copy,1,flip.6] {+} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,c_Message_Omsg_ONonce(F))))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)| -c_in(c_Message_Omsg_ONonce(H),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(D),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg)),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(H),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|H=F|c_Public_OshrK(v_sko__2VY(D))=D.
% 0.38/0.60  3 [] {+} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(E,F))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 0.38/0.60  4 [] {+} -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)|F=M.
% 0.38/0.60  5 [] {+} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(D)),c_Message_Omsg_OMPair(E,F)))),G)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 0.38/0.60  6 [] {+} -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg).
% 0.38/0.60  7 [] {-} A!=c_Message_Omsg_OKey(v_K)|v_NA!=v_NAa|v_NB!=v_NBa.
% 0.38/0.60  8 [copy,7,flip.2,flip.3] {+} A!=c_Message_Omsg_OKey(v_K)|v_NAa!=v_NA|v_NBa!=v_NB.
% 0.38/0.60  10 [] {-} c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 0.38/0.60  11 [] {-} c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 0.38/0.60  12 [] {-} 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_evso,tc_Event_Oevent),tc_Event_Oevent).
% 0.38/0.60  13 [] {-} c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg).
% 0.38/0.60  14 [] {-} A=A.
% 0.38/0.60  23 [hyper,11,3,10] {-} 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_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent).
% 0.38/0.60  24 [hyper,11,2,10,13,unit_del,6,flip.1] {-} v_NBa=v_NB|c_Public_OshrK(v_sko__2VY(v_K))=v_K.
% 0.38/0.60  34 [para_from,24.2.1,5.2.1.3.1.2.2.1.1] {-} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(D,E)))),F)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)|v_NBa=v_NB.
% 0.38/0.60  57,56 [hyper,34,10,11] {-} v_NBa=v_NB.
% 0.38/0.60  59 [back_demod,23,demod,57] {-} 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_evso,tc_Event_Oevent),tc_Event_Oevent).
% 0.38/0.60  61 [back_demod,8,demod,57,unit_del,14] {-} A!=c_Message_Omsg_OKey(v_K)|v_NAa!=v_NA.
% 0.38/0.60  68,67 [hyper,59,4,10,12,unit_del,6] {-} v_NAa=v_NA.
% 0.38/0.60  71 [back_demod,61,demod,68,unit_del,14] {-} A!=c_Message_Omsg_OKey(v_K).
% 0.38/0.60  72 [binary,71.1,14.1] {-} $F.
% 0.38/0.60  
% 0.38/0.60  % SZS output end Refutation
% 0.38/0.60  ------------ end of proof -------------
% 0.38/0.60  
% 0.38/0.60  
% 0.38/0.60  Search stopped by max_proofs option.
% 0.38/0.60  
% 0.38/0.60  
% 0.38/0.60  Search stopped by max_proofs option.
% 0.38/0.60  
% 0.38/0.60  ============ end of search ============
% 0.38/0.60  
% 0.38/0.60  That finishes the proof of the theorem.
% 0.38/0.60  
% 0.38/0.60  Process 826 finished Wed Jun 15 17:21:40 2022
%------------------------------------------------------------------------------