TSTP Solution File: SWV790-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV790-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 21:40:14 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV790-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n018.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 : Tue Jun 14 23:49:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.42  ----- Otter 3.2, August 2001 -----
% 0.19/0.42  The process was started by sandbox2 on n018.cluster.edu,
% 0.19/0.42  Tue Jun 14 23:49:59 2022
% 0.19/0.42  The command was "./sos".  The process ID is 9669.
% 0.19/0.42  
% 0.19/0.42  set(prolog_style_variables).
% 0.19/0.42  set(auto).
% 0.19/0.42     dependent: set(auto1).
% 0.19/0.42     dependent: set(process_input).
% 0.19/0.42     dependent: clear(print_kept).
% 0.19/0.42     dependent: clear(print_new_demod).
% 0.19/0.42     dependent: clear(print_back_demod).
% 0.19/0.42     dependent: clear(print_back_sub).
% 0.19/0.42     dependent: set(control_memory).
% 0.19/0.42     dependent: assign(max_mem, 12000).
% 0.19/0.42     dependent: assign(pick_given_ratio, 4).
% 0.19/0.42     dependent: assign(stats_level, 1).
% 0.19/0.42     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.42     dependent: assign(sos_limit, 5000).
% 0.19/0.42     dependent: assign(max_weight, 60).
% 0.19/0.42  clear(print_given).
% 0.19/0.42  
% 0.19/0.42  list(usable).
% 0.19/0.42  
% 0.19/0.42  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.42  
% 0.19/0.42  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.42  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.42  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.42  clauses in usable.
% 0.19/0.42  
% 0.19/0.42     dependent: set(knuth_bendix).
% 0.19/0.42     dependent: set(para_from).
% 0.19/0.42     dependent: set(para_into).
% 0.19/0.42     dependent: clear(para_from_right).
% 0.19/0.42     dependent: clear(para_into_right).
% 0.19/0.42     dependent: set(para_from_vars).
% 0.19/0.42     dependent: set(eq_units_both_ways).
% 0.19/0.42     dependent: set(dynamic_demod_all).
% 0.19/0.42     dependent: set(dynamic_demod).
% 0.19/0.42     dependent: set(order_eq).
% 0.19/0.42     dependent: set(back_demod).
% 0.19/0.42     dependent: set(lrpo).
% 0.19/0.42     dependent: set(hyper_res).
% 0.19/0.42     dependent: set(unit_deletion).
% 0.19/0.42     dependent: set(factor).
% 0.19/0.42  
% 0.19/0.42  ------------> process usable:
% 0.19/0.42    Following clause subsumed by 1 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.19/0.42    Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.42    Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.42    Following clause subsumed by 34 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.19/0.42    Following clause subsumed by 46 during input processing: 0 [] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,B,C).
% 0.19/0.42    Following clause subsumed by 52 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 0.19/0.42    Following clause subsumed by 52 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 0.19/0.42    Following clause subsumed by 70 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|c_in(D,A,C).
% 0.19/0.42    Following clause subsumed by 75 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 0.19/0.42    Following clause subsumed by 10 during input processing: 0 [] {-} -c_lessequals(A,B,tc_fun(C,tc_bool))|c_lessequals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 0.19/0.42    Following clause subsumed by 94 during input processing: 0 [] {-} c_in(A,c_List_Oset(B,C),C)| -c_in(A,c_List_Oset(c_List_Oremove1(D,B,C),C),C)|A=D.
% 0.19/0.42    Following clause subsumed by 114 during input processing: 0 [] {-} c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)| -c_lessequals(D,C,tc_fun(tc_Message_Omsg,tc_bool))| -c_in(B,c_Message_Osynth(c_Message_Oanalz(D)),tc_Message_Omsg).
% 0.19/0.42    Following clause subsumed by 76 during input processing: 0 [] {-} c_in(A,B,C)| -c_lessequals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 0.19/0.42    Following clause subsumed by 76 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.19/0.42    Following clause subsumed by 76 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.19/0.43    Following clause subsumed by 139 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.19/0.43    Following clause subsumed by 139 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.19/0.43    Following clause subsumed by 139 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.19/0.43    Following clause subsumed by 139 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.19/0.43    Following clause subsumed by 143 during input processing: 0 [] {-} -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 0.19/0.43    Following clause subsumed by 143 during input processing: 0 [] {-} c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 0.19/0.43    Following clause subsumed by 143 during input processing: 0 [] {-} c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 0.19/0.43    Following clause subsumed by 177 during input processing: 0 [] {-} c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 0.19/0.43    Following clause subsumed by 124 during input processing: 0 [] {-} 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)| -c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 268 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 0.19/0.43    Following clause subsumed by 270 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.19/0.43    Following clause subsumed by 309 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.19/0.43    Following clause subsumed by 308 during input processing: 0 [] {-} 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(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 310 during input processing: 0 [] {-} c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(A,C),c_Message_Osynth(B),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 315 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.19/0.43    Following clause subsumed by 308 during input processing: 0 [] {-} c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 318 during input processing: 0 [] {-} c_in(c_Message_Omsg_ONonce(A),B,tc_Message_Omsg)| -c_in(c_Message_Omsg_ONonce(A),c_Message_Osynth(B),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 322 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 322 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 78 during input processing: 0 [copy,7,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OshrK(C).
% 0.19/0.43    Following clause subsumed by 32 during input processing: 0 [copy,20,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 0.19/0.43    Following clause subsumed by 40 during input processing: 0 [copy,21,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Public_OshrK(C).
% 0.19/0.43    Following clause subsumed by 46 during input processing: 0 [copy,24,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.19/0.43    Following clause subsumed by 20 during input processing: 0 [copy,32,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 0.19/0.43    Following clause subsumed by 42 during input processing: 0 [copy,39,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 0.19/0.43    Following clause subsumed by 21 during input processing: 0 [copy,40,flip.1] {-} c_Public_OshrK(A)!=c_Public_OpublicKey(B,C).
% 0.19/0.43    Following clause subsumed by 39 during input processing: 0 [copy,42,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 0.19/0.43    Following clause subsumed by 24 during input processing: 0 [copy,46,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.19/0.43    Following clause subsumed by 80 during input processing: 0 [copy,55,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Message_OinvKey(c_Public_OpublicKey(C,D)).
% 0.19/0.43    Following clause subsumed by 7 during input processing: 0 [copy,78,flip.1] {-} c_Public_OshrK(A)!=c_Message_OinvKey(c_Public_OpublicKey(B,C)).
% 0.19/0.43    Following clause subsumed by 55 during input processing: 0 [copy,80,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OpublicKey(C,D).
% 0.19/0.43    Following clause subsumed by 162 during input processing: 0 [copy,160,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 0.19/0.43    Following clause subsumed by 163 during input processing: 0 [copy,161,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 0.19/0.43    Following clause subsumed by 160 during input processing: 0 [copy,162,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.19/0.43    Following clause subsumed by 161 during input processing: 0 [copy,163,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 0.19/0.43    Following clause subsumed by 165 during input processing: 0 [copy,164,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 0.19/0.43    Following clause subsumed by 164 during input processing: 0 [copy,165,flip.1] {-} c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 0.19/0.43    Following clause subsumed by 168 during input processing: 0 [copy,167,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 0.19/0.43    Following clause subsumed by 167 during input processing: 0 [copy,168,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 0.19/0.43    Following clause subsumed by 181 during input processing: 0 [copy,179,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 0.19/0.43    Following clause subsumed by 182 during input processing: 0 [copy,180,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 0.19/0.43    Following clause subsumed by 179 during input processing: 0 [copy,181,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 0.19/0.43    Following clause subsumed by 180 during input processing: 0 [copy,182,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 0.19/0.43    Following clause subsumed by 185 during input processing: 0 [copy,183,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.19/0.43    Following clause subsumed by 186 during input processing: 0 [copy,184,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.19/0.43    Following clause subsumed by 183 during input processing: 0 [copy,185,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 0.19/0.43    Following clause subsumed by 184 during input processing: 0 [copy,186,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 0.19/0.43    Following clause subsumed by 303 during input processing: 0 [copy,265,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.19/0.43    Following clause subsumed by 283 during input processing: 0 [copy,266,flip.1] {-} c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 0.19/0.43    Following clause subsumed by 309 during input processing: 0 [copy,281,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.19/0.43    Following clause subsumed by 320 during input processing: 0 [copy,282,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 0.19/0.43    Following clause subsumed by 266 during input processing: 0 [copy,283,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 0.19/0.43    Following clause subsumed by 265 during input processing: 0 [copy,303,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 0.19/0.43  308 back subsumes 284.
% 0.19/0.43    Following clause subsumed by 281 during input processing: 0 [copy,309,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.19/0.43  319 back subsumes 245.
% 0.19/0.43    Following clause subsumed by 282 during input processing: 0 [copy,320,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 0.19/0.43    Following clause subsumed by 9 during input processing: 0 [copy,332,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_OHPair(B,C).
% 0.19/0.43    Following clause subsumed by 159 during input processing: 0 [copy,348,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_OHPair(C,D).
% 0.19/0.43    Following clause subsumed by 166 during input processing: 0 [copy,349,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_OHPair(B,C).
% 0.19/0.43    Following clause subsumed by 178 during input processing: 0 [copy,350,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_OHPair(B,C).
% 0.19/0.43  
% 0.19/0.43  ------------> process sos:
% 0.19/0.43    Following clause subsumed by 355 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.19/0.43    Following clause subsumed by 355 during input processing: 0 [] {-} c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 0.19/0.43    Following clause subsumed by 379 during input processing: 0 [] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.19/0.43    Following clause subsumed by 379 during input processing: 0 [] {-} c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OAgent(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 379 during input processing: 0 [] {-} c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OMPair(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(B,C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 431 during input processing: 0 [] {-} c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 379 during input processing: 0 [] {-} c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 379 during input processing: 0 [] {-} c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_ONonce(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 379 during input processing: 0 [] {-} c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_ONonce(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_ONonce(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 443 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.19/0.43    Following clause subsumed by 443 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.19/0.43    Following clause subsumed by 468 during input processing: 0 [] {-} c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(A)),c_Event_Oused(B),tc_Message_Omsg).
% 0.19/0.43    Following clause subsumed by 441 during input processing: 0 [] {-} c_lessequals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_ONotes(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.19/0.43    Following clause subsumed by 441 during input processing: 0 [] {-} c_lessequals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OGets(C,D),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.19/0.43    Following clause subsumed by 441 during input processing: 0 [] {-} c_lessequals(c_Event_Oknows(A,B),c_Event_Oknows(A,c_List_Olist_OCons(c_Event_Oevent_OSays(C,D,E),B,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.19/0.43    Following clause subsumed by 441 during input processing: 0 [] {-} c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(B,C,D),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.19/0.43    Following clause subsumed by 535 during input processing: 0 [demod,533] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.19/0.43    Following clause subsumed by 535 during input processing: 0 [demod,533] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.19/0.44   
% 0.19/0.44  -------- PROOF -------- 
% 0.19/0.44  % SZS status Unsatisfiable
% 0.19/0.44  % SZS output start Refutation
% 0.19/0.44   Following clause subsumed by 554 during input processing: 0 [demod,552] {-} A=A.
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,557] {-} B=B.
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,557] {-} A=A.
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,560] {-} A=A.
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,570] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,570] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,570] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,557] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,567] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,560] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,524] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.19/0.44    Following clause subsumed by 564 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [demod,563] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [] {-} A=A.
% 0.19/0.44    Following clause subsumed by 379 during input processing: 0 [copy,354,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),c_Set_Oinsert(c_Message_Omsg_OAgent(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 0.19/0.44    Following clause subsumed by 379 during input processing: 0 [copy,378,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Set_Oinsert(c_Message_Omsg_OCrypt(C,D),E,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OCrypt(C,D),c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),E,tc_Message_Omsg),tc_Message_Omsg).
% 0.19/0.44    Following clause subsumed by 379 during input processing: 0 [copy,379,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.19/0.44  379 back subsumes 378.
% 0.19/0.44  379 back subsumes 354.
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [copy,390,flip.1] {-} c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [copy,413,flip.1] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.19/0.44  441 back subsumes 398.
% 0.19/0.44  441 back subsumes 397.
% 0.19/0.44    Following clause subsumed by 473 during input processing: 0 [copy,473,flip.1] {-} c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Oreplicate(D,B,C),C)=c_List_Oappend(c_List_Oreplicate(D,B,C),c_List_Oreplicate(A,B,C),C).
% 0.19/0.44  476 back subsumes 192.
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [copy,535,flip.1] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.19/0.44  550 back subsumes 549.
% 0.19/0.44  550 back subsumes 548.
% 0.19/0.44    Following clause subsumed by 554 during input processing: 0 [copy,554,flip.1] {-} A=A.
% 0.19/0.44  554 back subsumes 535.
% 0.19/0.44  554 back subsumes 413.
% 0.19/0.44  554 back subsumes 390.
% 0.19/0.44  554 back subsumes 351.
% 0.19/0.44  554 back subsumes 347.
% 0.19/0.44  554 back subsumes 344.
% 0.19/0.44  554 back subsumes 343.
% 0.19/0.44  554 back subsumes 342.
% 0.19/0.44  554 back subsumes 341.
% 0.19/0.44  554 back subsumes 339.
% 0.19/0.44  554 back subsumes 338.
% 0.19/0.44  
% 0.19/0.44  ----> UNIT CONFLICT at   0.04 sec ----> 634 [binary,633.1,540.1] {-} $F.
% 0.19/0.44  
% 0.19/0.44  Length of proof is 1.  Level of proof is 1.
% 0.19/0.44  
% 0.19/0.44  ---------------- PROOF ----------------
% 0.19/0.44  % SZS status Unsatisfiable
% 0.19/0.44  % SZS output start Refutation
% 0.19/0.44  
% 0.19/0.44  324 [] {-} -c_in(v_B,c_Event_Obad,tc_Message_Oagent).
% 0.19/0.44  540 [] {-} c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 0.19/0.44  580,579 [] {-} v_B=c_Message_Oagent_OSpy.
% 0.19/0.44  633 [back_demod,324,demod,580] {-} -c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 0.19/0.44  634 [binary,633.1,540.1] {-} $F.
% 0.19/0.44  
% 0.19/0.44  % SZS output end Refutation
% 0.19/0.44  ------------ end of proof -------------
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Search stopped by max_proofs option.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Search stopped by max_proofs option.
% 0.19/0.44  
% 0.19/0.44  ============ end of search ============
% 0.19/0.44  
% 0.19/0.44  That finishes the proof of the theorem.
% 0.19/0.44  
% 0.19/0.44  Process 9669 finished Tue Jun 14 23:49:59 2022
%------------------------------------------------------------------------------