TSTP Solution File: SWV337-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV337-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 21:38:03 EDT 2022

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV337-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 05:46:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox on n004.cluster.edu,
% 0.13/0.35  Thu Jun 16 05:46:08 2022
% 0.13/0.35  The command was "./sos".  The process ID is 32481.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 0.13/0.35  
% 0.13/0.35  This is a non-Horn set without equality.  The strategy
% 0.13/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 8
% 0.13/0.38  number of clauses initially in problem: 10
% 0.13/0.38  percentage of clauses intially in UL: 80
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 85
% 0.13/0.38  percent of all initial clauses that are short: 90
% 0.13/0.38  absolute distinct symbol count: 28
% 0.13/0.38     distinct predicate count: 1
% 0.13/0.38     distinct function count: 13
% 0.13/0.38     distinct constant count: 14
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 0.13/0.39  
% 0.13/0.39  -------- PROOF -------- 
% 0.13/0.39  % SZS status Unsatisfiable
% 0.13/0.39  % SZS output start Refutation
% 0.13/0.39  
% 0.13/0.39  ----> UNIT CONFLICT at   0.01 sec ----> 29 [binary,28.1,1.1] {-} $F.
% 0.13/0.39  
% 0.13/0.39  Length of proof is 8.  Level of proof is 8.
% 0.13/0.39  
% 0.13/0.39  ---------------- PROOF ----------------
% 0.13/0.39  % SZS status Unsatisfiable
% 0.13/0.39  % SZS output start Refutation
% 0.13/0.39  
% 0.13/0.39  1 [] {+} -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.13/0.39  2 [] {+} -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(C),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent).
% 0.13/0.39  3 [] {+} -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).
% 0.13/0.39  4 [] {+} -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).
% 0.13/0.39  5 [] {+} -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 0.13/0.39  6 [] {+} -c_in(A,c_Event_Obad,tc_Message_Oagent)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg).
% 0.13/0.39  7 [] {+} -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))| -c_in(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,F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent)|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,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).
% 0.13/0.39  8 [] {+} -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).
% 0.13/0.39  9 [] {-} c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)).
% 0.13/0.39  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_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).
% 0.13/0.39  11 [hyper,10,8,9] {-} 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).
% 0.13/0.39  13 [hyper,11,4] {-} 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.13/0.39  15 [hyper,13,5] {-} 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).
% 0.13/0.39  17 [hyper,15,7,9,unit_del,2] {+} c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 0.13/0.39  18 [hyper,17,6,13] {-} 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.13/0.39  21 [hyper,18,3] {-} 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.13/0.39  25 [hyper,21,3] {-} c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.13/0.39  28 [hyper,25,3] {-} c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).
% 0.13/0.39  29 [binary,28.1,1.1] {-} $F.
% 0.13/0.39  
% 0.13/0.39  % SZS output end Refutation
% 0.13/0.39  ------------ end of proof -------------
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  Search stopped by max_proofs option.
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  Search stopped by max_proofs option.
% 0.13/0.39  
% 0.13/0.39  ============ end of search ============
% 0.13/0.39  
% 0.13/0.39  ----------- soft-scott stats ----------
% 0.13/0.39  
% 0.13/0.39  true clauses given           3      (20.0%)
% 0.13/0.39  false clauses given         12
% 0.13/0.39  
% 0.13/0.39        FALSE     TRUE
% 0.13/0.39     8  0         1
% 0.13/0.39    14  1         0
% 0.13/0.39  tot:  1         1      (50.0% true)
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39  
% 0.13/0.39  That finishes the proof of the theorem.
% 0.13/0.39  
% 0.13/0.39  Process 32481 finished Thu Jun 16 05:46:09 2022
%------------------------------------------------------------------------------