TSTP Solution File: SWV812-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV812-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.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 21:40:19 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV812-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : sos-script %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 15 08:46:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.42 ----- Otter 3.2, August 2001 -----
% 0.18/0.42 The process was started by sandbox on n013.cluster.edu,
% 0.18/0.42 Wed Jun 15 08:46:14 2022
% 0.18/0.42 The command was "./sos". The process ID is 11286.
% 0.18/0.42
% 0.18/0.42 set(prolog_style_variables).
% 0.18/0.42 set(auto).
% 0.18/0.42 dependent: set(auto1).
% 0.18/0.42 dependent: set(process_input).
% 0.18/0.42 dependent: clear(print_kept).
% 0.18/0.42 dependent: clear(print_new_demod).
% 0.18/0.42 dependent: clear(print_back_demod).
% 0.18/0.42 dependent: clear(print_back_sub).
% 0.18/0.42 dependent: set(control_memory).
% 0.18/0.42 dependent: assign(max_mem, 12000).
% 0.18/0.42 dependent: assign(pick_given_ratio, 4).
% 0.18/0.42 dependent: assign(stats_level, 1).
% 0.18/0.42 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.42 dependent: assign(sos_limit, 5000).
% 0.18/0.42 dependent: assign(max_weight, 60).
% 0.18/0.42 clear(print_given).
% 0.18/0.42
% 0.18/0.42 list(usable).
% 0.18/0.42
% 0.18/0.42 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.42
% 0.18/0.42 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.42 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.42 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.42 clauses in usable.
% 0.18/0.42
% 0.18/0.42 dependent: set(knuth_bendix).
% 0.18/0.42 dependent: set(para_from).
% 0.18/0.42 dependent: set(para_into).
% 0.18/0.42 dependent: clear(para_from_right).
% 0.18/0.42 dependent: clear(para_into_right).
% 0.18/0.42 dependent: set(para_from_vars).
% 0.18/0.42 dependent: set(eq_units_both_ways).
% 0.18/0.42 dependent: set(dynamic_demod_all).
% 0.18/0.42 dependent: set(dynamic_demod).
% 0.18/0.42 dependent: set(order_eq).
% 0.18/0.42 dependent: set(back_demod).
% 0.18/0.42 dependent: set(lrpo).
% 0.18/0.42 dependent: set(hyper_res).
% 0.18/0.42 dependent: set(unit_deletion).
% 0.18/0.42 dependent: set(factor).
% 0.18/0.42
% 0.18/0.42 ------------> process usable:
% 0.18/0.42 Following clause subsumed by 21 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.42 Following clause subsumed by 21 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.42 Following clause subsumed by 24 during input processing: 0 [] {-} c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lessequals(B,D,tc_fun(C,tc_bool))| -c_lessequals(A,D,tc_fun(C,tc_bool)).
% 0.18/0.42 Following clause subsumed by 46 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 0.18/0.42 Following clause subsumed by 47 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 0.18/0.42 Following clause subsumed by 65 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 65 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 66 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.18/0.42 Following clause subsumed by 102 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.18/0.42 Following clause subsumed by 125 during input processing: 0 [] {-} c_in(c_Message_Omsg_OKey(A),c_Message_Oanalz(c_Set_Oinsert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(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).
% 0.18/0.42 Following clause subsumed by 74 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).
% 0.18/0.42 Following clause subsumed by 78 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).
% 0.18/0.42 Following clause subsumed by 78 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).
% 0.18/0.42 Following clause subsumed by 161 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).
% 0.18/0.42 Following clause subsumed by 165 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 0.18/0.42 Following clause subsumed by 166 during input processing: 0 [] {-} c_in(A,B,C)| -c_lessequals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 0.18/0.42 Following clause subsumed by 166 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.18/0.42 Following clause subsumed by 166 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.18/0.42 Following clause subsumed by 167 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.18/0.42 Following clause subsumed by 167 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.18/0.42 Following clause subsumed by 167 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.18/0.42 Following clause subsumed by 167 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.18/0.42 Following clause subsumed by 200 during input processing: 0 [] {-} c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 0.18/0.42 Following clause subsumed by 273 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.18/0.42 Following clause subsumed by 274 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.18/0.42 Following clause subsumed by 291 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).
% 0.18/0.42 Following clause subsumed by 331 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.18/0.42 Following clause subsumed by 329 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(c_Message_Omsg_OKey(A),C,tc_Message_Omsg).
% 0.18/0.42 Following clause subsumed by 334 during input processing: 0 [] {-} c_in(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).
% 0.18/0.42 Following clause subsumed by 339 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.18/0.42 Following clause subsumed by 329 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).
% 0.18/0.42 Following clause subsumed by 343 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).
% 0.18/0.42 Following clause subsumed by 347 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.18/0.42 Following clause subsumed by 347 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.18/0.42 Following clause subsumed by 98 during input processing: 0 [copy,64,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 0.18/0.42 Following clause subsumed by 162 during input processing: 0 [copy,67,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OHash(B).
% 0.18/0.42 Following clause subsumed by 97 during input processing: 0 [copy,71,flip.1] {-} c_Public_OshrK(A)!=c_Public_OpublicKey(B,C).
% 0.18/0.42 Following clause subsumed by 93 during input processing: 0 [copy,74,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.18/0.42 Following clause subsumed by 74 during input processing: 0 [copy,93,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.18/0.42 Following clause subsumed by 71 during input processing: 0 [copy,97,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Public_OshrK(C).
% 0.18/0.42 Following clause subsumed by 64 during input processing: 0 [copy,98,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 0.18/0.42 Following clause subsumed by 108 during input processing: 0 [copy,105,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OshrK(C).
% 0.18/0.42 Following clause subsumed by 105 during input processing: 0 [copy,108,flip.1] {-} c_Public_OshrK(A)!=c_Message_OinvKey(c_Public_OpublicKey(B,C)).
% 0.18/0.42 Following clause subsumed by 154 during input processing: 0 [copy,110,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OpublicKey(C,D).
% 0.18/0.42 Following clause subsumed by 110 during input processing: 0 [copy,154,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Message_OinvKey(c_Public_OpublicKey(C,D)).
% 0.18/0.42 Following clause subsumed by 67 during input processing: 0 [copy,162,flip.1] {-} c_Message_Omsg_OHash(A)!=c_Message_Omsg_OAgent(B).
% 0.18/0.42 Following clause subsumed by 177 during input processing: 0 [copy,174,flip.1] {-} c_Message_Omsg_OHash(A)!=c_Message_Omsg_OMPair(B,C).
% 0.18/0.42 Following clause subsumed by 176 during input processing: 0 [copy,175,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 0.18/0.42 Following clause subsumed by 175 during input processing: 0 [copy,176,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 0.18/0.42 Following clause subsumed by 174 during input processing: 0 [copy,177,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OHash(C).
% 0.18/0.42 Following clause subsumed by 184 during input processing: 0 [copy,182,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 0.18/0.42 Following clause subsumed by 185 during input processing: 0 [copy,183,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OHash(C).
% 0.18/0.42 Following clause subsumed by 182 during input processing: 0 [copy,184,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.18/0.42 Following clause subsumed by 183 during input processing: 0 [copy,185,flip.1] {-} c_Message_Omsg_OHash(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.18/0.42 Following clause subsumed by 190 during input processing: 0 [copy,188,flip.1] {-} c_Message_Omsg_OKey(A)!=c_Message_Omsg_OAgent(B).
% 0.18/0.42 Following clause subsumed by 191 during input processing: 0 [copy,189,flip.1] {-} c_Message_Omsg_OKey(A)!=c_Message_Omsg_OHash(B).
% 0.18/0.42 Following clause subsumed by 188 during input processing: 0 [copy,190,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OKey(B).
% 0.18/0.42 Following clause subsumed by 189 during input processing: 0 [copy,191,flip.1] {-} c_Message_Omsg_OHash(A)!=c_Message_Omsg_OKey(B).
% 0.18/0.42 Following clause subsumed by 204 during input processing: 0 [copy,201,flip.1] {-} c_Message_Omsg_OHash(A)!=c_Message_Omsg_ONonce(B).
% 0.18/0.42 Following clause subsumed by 203 during input processing: 0 [copy,202,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 0.18/0.42 Following clause subsumed by 202 during input processing: 0 [copy,203,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 0.18/0.42 Following clause subsumed by 201 during input processing: 0 [copy,204,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OHash(B).
% 0.18/0.42 Following clause subsumed by 207 during input processing: 0 [copy,205,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.18/0.42 Following clause subsumed by 208 during input processing: 0 [copy,206,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.18/0.42 Following clause subsumed by 205 during input processing: 0 [copy,207,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 0.18/0.42 Following clause subsumed by 206 during input processing: 0 [copy,208,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 0.18/0.42 Following clause subsumed by 298 during input processing: 0 [copy,275,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OKey(B).
% 0.18/0.42 Following clause subsumed by 322 during input processing: 0 [copy,276,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.18/0.42 Following clause subsumed by 331 during input processing: 0 [copy,295,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.18/0.43 Following clause subsumed by 345 during input processing: 0 [copy,297,flip.1] {-} c_Message_Omsg_OKey(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.18/0.43 Following clause subsumed by 275 during input processing: 0 [copy,298,flip.1] {-} c_Message_Omsg_OKey(A)!=c_Message_Omsg_ONonce(B).
% 0.18/0.43 Following clause subsumed by 330 during input processing: 0 [copy,315,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 0.18/0.43 Following clause subsumed by 332 during input processing: 0 [copy,317,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 0.18/0.43 Following clause subsumed by 276 during input processing: 0 [copy,322,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 0.18/0.43 329 back subsumes 299.
% 0.18/0.43 329 back subsumes 239.
% 0.18/0.43 Following clause subsumed by 315 during input processing: 0 [copy,330,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 0.18/0.43 Following clause subsumed by 295 during input processing: 0 [copy,331,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.18/0.43 Following clause subsumed by 317 during input processing: 0 [copy,332,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 0.18/0.43 Following clause subsumed by 342 during input processing: 0 [copy,333,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OKey(C).
% 0.18/0.43 Following clause subsumed by 333 during input processing: 0 [copy,342,flip.1] {-} c_Message_Omsg_OKey(A)!=c_Message_Omsg_OMPair(B,C).
% 0.18/0.43 344 back subsumes 250.
% 0.18/0.43 Following clause subsumed by 297 during input processing: 0 [copy,345,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OKey(C).
% 0.18/0.43
% 0.18/0.43 ------------> process sos:
% 0.18/0.43 Following clause subsumed by 420 during input processing: 0 [demod,402] {-} c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(A),c_Message_Oparts(B),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.18/0.43 Following clause subsumed by 398 during input processing: 0 [] {-} c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(B,C),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(B,C)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.18/0.43 Following clause subsumed by 398 during input processing: 0 [] {-} c_Message_Oparts(c_Set_Oinsert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg))=c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.18/0.43 Following clause subsumed by 455 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)).
% 0.18/0.43 Following clause subsumed by 463 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.18/0.43 Following clause subsumed by 493 during input processing: 0 [] {-} c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [demod,478,478] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_List_Oset(c_List_Olist_ONil(C),C),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(C),C),C),C).
% 0.18/0.43 Following clause subsumed by 507 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).
% 0.18/0.43 Following clause subsumed by 513 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.18/0.43 Following clause subsumed by 513 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.18/0.43 Following clause subsumed by 519 during input processing: 0 [] {-} c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Event_Oused(B),tc_Message_Omsg).
% 0.18/0.43 Following clause subsumed by 503 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)).
% 0.18/0.43 Following clause subsumed by 503 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)).
% 0.18/0.43 Following clause subsumed by 503 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)).
% 0.18/0.43 Following clause subsumed by 503 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)).
% 0.18/0.43 Following clause subsumed by 571 during input processing: 0 [demod,569] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.18/0.43 Following clause subsumed by 571 during input processing: 0 [demod,569] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,584] {-} A=A.
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,589] {-} B=B.
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,589] {-} A=A.
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,592] {-} A=A.
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,602] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,602] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,602] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,589] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,599] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,592] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,560] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.43 Following clause subsumed by 596 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [demod,595] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [] {-} A=A.
% 0.18/0.43 Following clause subsumed by 410 during input processing: 0 [copy,410,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [copy,417,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.18/0.43 Following clause subsumed by 418 during input processing: 0 [copy,418,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [copy,435,flip.1,demod,478,478] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,448,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OHash(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_
% 0.18/0.43 -------- PROOF --------
% 0.18/0.43 % SZS status Unsatisfiable
% 0.18/0.43 % SZS output start Refutation
% 0.18/0.43 Set_Oinsert(c_Message_Omsg_OHash(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,459,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OHash(A),c_Set_Oinsert(c_Message_Omsg_OKey(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OKey(B),c_Set_Oinsert(c_Message_Omsg_OHash(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 0.18/0.43 463 back subsumes 420.
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,465,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Set_Oinsert(c_Message_Omsg_OKey(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OKey(B),c_Set_Oinsert(c_Message_Omsg_OAgent(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [copy,480,flip.1] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,483,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).
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,484,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Set_Oinsert(c_Message_Omsg_OKey(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OKey(C),c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,494,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OKey(C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OKey(C),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,497,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_ONonce(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(c_Message_Omsg_ONonce(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,498,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_ONonce(A),c_Set_Oinsert(c_Message_Omsg_OKey(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OKey(B),c_Set_Oinsert(c_Message_Omsg_ONonce(A),C,tc_Message_Omsg),tc_Message_Omsg).
% 0.18/0.43 503 back subsumes 471.
% 0.18/0.43 503 back subsumes 470.
% 0.18/0.43 Following clause subsumed by 507 during input processing: 0 [copy,507,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.18/0.43 507 back subsumes 498.
% 0.18/0.43 507 back subsumes 497.
% 0.18/0.43 507 back subsumes 494.
% 0.18/0.43 507 back subsumes 484.
% 0.18/0.43 507 back subsumes 483.
% 0.18/0.43 507 back subsumes 465.
% 0.18/0.43 507 back subsumes 459.
% 0.18/0.43 507 back subsumes 448.
% 0.18/0.43 524 back subsumes 213.
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [copy,571,flip.1] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.18/0.43 582 back subsumes 581.
% 0.18/0.43 582 back subsumes 580.
% 0.18/0.43 Following clause subsumed by 586 during input processing: 0 [copy,586,flip.1] {-} A=A.
% 0.18/0.43 586 back subsumes 571.
% 0.18/0.43 586 back subsumes 480.
% 0.18/0.43 586 back subsumes 417.
% 0.18/0.43 586 back subsumes 381.
% 0.18/0.43 586 back subsumes 380.
% 0.18/0.43 586 back subsumes 379.
% 0.18/0.43 586 back subsumes 378.
% 0.18/0.43 586 back subsumes 377.
% 0.18/0.43 586 back subsumes 373.
% 0.18/0.43 586 back subsumes 372.
% 0.18/0.43
% 0.18/0.43 ----> UNIT CONFLICT at 0.04 sec ----> 684 [binary,683.1,572.1] {-} $F.
% 0.18/0.43
% 0.18/0.43 Length of proof is 1. Level of proof is 1.
% 0.18/0.43
% 0.18/0.43 ---------------- PROOF ----------------
% 0.18/0.43 % SZS status Unsatisfiable
% 0.18/0.43 % SZS output start Refutation
% 0.18/0.43
% 0.18/0.43 348 [] {-} -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 0.18/0.43 572 [] {-} c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 0.18/0.43 612,611 [] {-} v_A=c_Message_Oagent_OSpy.
% 0.18/0.43 683 [back_demod,348,demod,612] {-} -c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent).
% 0.18/0.43 684 [binary,683.1,572.1] {-} $F.
% 0.18/0.43
% 0.18/0.43 % SZS output end Refutation
% 0.18/0.43 ------------ end of proof -------------
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Search stopped by max_proofs option.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Search stopped by max_proofs option.
% 0.18/0.43
% 0.18/0.43 ============ end of search ============
% 0.18/0.43
% 0.18/0.43 That finishes the proof of the theorem.
% 0.18/0.43
% 0.18/0.43 Process 11286 finished Wed Jun 15 08:46:14 2022
%------------------------------------------------------------------------------