%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV811-1 : TPTP v8.1.0. Released v4.1.0.
% 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 21:40:19 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV811-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % 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 : Wed Jun 15 00:47:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.42 ----- Otter 3.2, August 2001 -----
% 0.20/0.42 The process was started by sandbox2 on n004.cluster.edu,
% 0.20/0.42 Wed Jun 15 00:47:54 2022
% 0.20/0.42 The command was "./sos". The process ID is 26381.
% 0.20/0.42
% 0.20/0.42 set(prolog_style_variables).
% 0.20/0.42 set(auto).
% 0.20/0.42 dependent: set(auto1).
% 0.20/0.42 dependent: set(process_input).
% 0.20/0.42 dependent: clear(print_kept).
% 0.20/0.42 dependent: clear(print_new_demod).
% 0.20/0.42 dependent: clear(print_back_demod).
% 0.20/0.42 dependent: clear(print_back_sub).
% 0.20/0.42 dependent: set(control_memory).
% 0.20/0.42 dependent: assign(max_mem, 12000).
% 0.20/0.42 dependent: assign(pick_given_ratio, 4).
% 0.20/0.42 dependent: assign(stats_level, 1).
% 0.20/0.42 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.42 dependent: assign(sos_limit, 5000).
% 0.20/0.42 dependent: assign(max_weight, 60).
% 0.20/0.42 clear(print_given).
% 0.20/0.42
% 0.20/0.42 list(usable).
% 0.20/0.42
% 0.20/0.42 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.20/0.42
% 0.20/0.42 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.42 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.42 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.42 clauses in usable.
% 0.20/0.42
% 0.20/0.42 dependent: set(knuth_bendix).
% 0.20/0.42 dependent: set(para_from).
% 0.20/0.42 dependent: set(para_into).
% 0.20/0.42 dependent: clear(para_from_right).
% 0.20/0.42 dependent: clear(para_into_right).
% 0.20/0.42 dependent: set(para_from_vars).
% 0.20/0.42 dependent: set(eq_units_both_ways).
% 0.20/0.42 dependent: set(dynamic_demod_all).
% 0.20/0.42 dependent: set(dynamic_demod).
% 0.20/0.42 dependent: set(order_eq).
% 0.20/0.42 dependent: set(back_demod).
% 0.20/0.42 dependent: set(lrpo).
% 0.20/0.42 dependent: set(hyper_res).
% 0.20/0.42 dependent: set(unit_deletion).
% 0.20/0.42 dependent: set(factor).
% 0.20/0.42
% 0.20/0.42 ------------> process usable:
% 0.20/0.42 Following clause subsumed by 20 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).
% 0.20/0.42 Following clause subsumed by 20 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).
% 0.20/0.42 Following clause subsumed by 23 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)).
% 0.20/0.42 Following clause subsumed by 45 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).
% 0.20/0.42 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(B,D,A),C,A).
% 0.20/0.42 Following clause subsumed by 52 during input processing: 0 [] {-} c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 0.20/0.42 Following clause subsumed by 52 during input processing: 0 [] {-} c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 0.20/0.42 Following clause subsumed by 55 during input processing: 0 [factor_simp] {-} c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(A,B,tc_nat).
% 0.20/0.42 Following clause subsumed by 52 during input processing: 0 [factor_simp] {-} c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 0.20/0.43 Following clause subsumed by 52 during input processing: 0 [factor_simp] {-} c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(C),tc_Message_Omsg).
% 0.20/0.43 Following clause subsumed by 96 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.20/0.43 Following clause subsumed by 102 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.20/0.43 Following clause subsumed by 103 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.20/0.43 Following clause subsumed by 106 during input processing: 0 [] {-} c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 0.20/0.43 Following clause subsumed by 106 during input processing: 0 [] {-} -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 0.20/0.43 Following clause subsumed by 106 during input processing: 0 [] {-} -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 0.20/0.43 Following clause subsumed by 111 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.20/0.43 Following clause subsumed by 111 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.20/0.43 Following clause subsumed by 111 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.20/0.43 Following clause subsumed by 112 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.20/0.43 Following clause subsumed by 112 during input processing: 0 [] {-} c_in(A,B,C)| -c_lessequals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 0.20/0.43 Following clause subsumed by 112 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.20/0.43 Following clause subsumed by 113 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 0.20/0.43 Following clause subsumed by 118 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.20/0.43 Following clause subsumed by 119 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 0.20/0.43 Following clause subsumed by 120 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).
% 0.20/0.43 Following clause subsumed by 130 during input processing: 0 [] {-} c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 0.20/0.43 Following clause subsumed by 105 during input processing: 0 [] {-} c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Osynth(B),tc_Message_Omsg)| -c_in(hAPP(c_Message_Omsg_OKey,A),B,tc_Message_Omsg).
% 0.20/0.43 Following clause subsumed by 105 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).
% 0.20/0.43 Following clause subsumed by 175 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).
% 0.20/0.43 Following clause subsumed by 214 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.20/0.43 Following clause subsumed by 215 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.20/0.43 Following clause subsumed by 215 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.20/0.43 Following clause subsumed by 233 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.20/0.43 Following clause subsumed by 241 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)).
% 0.20/0.43 Following clause subsumed by 157 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).
% 0.20/0.43 Following clause subsumed by 105 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).
% 0.20/0.43 Following clause subsumed by 254 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).
% 0.20/0.43 Following clause subsumed by 320 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.20/0.43 Following clause subsumed by 320 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.20/0.43 Following clause subsumed by 83 during input processing: 0 [copy,82,flip.1] {-} c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 0.20/0.43 Following clause subsumed by 82 during input processing: 0 [copy,83,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 0.20/0.43 Following clause subsumed by 85 during input processing: 0 [copy,84,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.20/0.43 Following clause subsumed by 84 during input processing: 0 [copy,85,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 0.20/0.43 Following clause subsumed by 95 during input processing: 0 [copy,94,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 0.20/0.43 Following clause subsumed by 94 during input processing: 0 [copy,95,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 0.20/0.43 Following clause subsumed by 101 during input processing: 0 [copy,96,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.20/0.43 Following clause subsumed by 96 during input processing: 0 [copy,101,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.20/0.43 106 back subsumes 3.
% 0.20/0.43 111 back subsumes 109.
% 0.20/0.43 Following clause subsumed by 132 during input processing: 0 [copy,131,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 0.20/0.43 Following clause subsumed by 131 during input processing: 0 [copy,132,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 0.20/0.43 Following clause subsumed by 135 during input processing: 0 [copy,133,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.20/0.43 Following clause subsumed by 136 during input processing: 0 [copy,134,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.20/0.43 Following clause subsumed by 133 during input processing: 0 [copy,135,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 0.20/0.43 Following clause subsumed by 134 during input processing: 0 [copy,136,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 0.20/0.43 171 back subsumes 87.
% 0.20/0.43 Following clause subsumed by 247 during input processing: 0 [copy,195,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Message_OinvKey(c_Public_OpublicKey(C,D)).
% 0.20/0.43 198 back subsumes 120.
% 0.20/0.43 Following clause subsumed by 224 during input processing: 0 [copy,207,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.20/0.43 207 back subsumes 124.
% 0.20/0.43 Following clause subsumed by 227 during input processing: 0 [copy,210,flip.1] {-} c_Public_OshrK(A)!=c_Public_OpublicKey(B,C).
% 0.20/0.43 Following clause subsumed by 228 during input processing: 0 [copy,216,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 0.20/0.43 Following clause subsumed by 207 during input processing: 0 [copy,224,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.20/0.43 Following clause subsumed by 210 during input processing: 0 [copy,227,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Public_OshrK(C).
% 0.20/0.43 Following clause subsumed by 216 during input processing: 0 [copy,228,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 0.20/0.43 Following clause subsumed by 245 during input processing: 0 [copy,239,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OshrK(C).
% 0.20/0.44 Following clause subsumed by 239 during input processing: 0 [copy,245,flip.1] {-} c_Public_OshrK(A)!=c_Message_OinvKey(c_Public_OpublicKey(B,C)).
% 0.20/0.44 Following clause subsumed by 195 during input processing: 0 [copy,247,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OpublicKey(C,D).
% 0.20/0.44 255 back subsumes 173.
% 0.20/0.44 Following clause subsumed by 307 during input processing: 0 [copy,283,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.20/0.44 Following clause subsumed by 296 during input processing: 0 [copy,284,flip.1] {-} c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 0.20/0.44 Following clause subsumed by 318 during input processing: 0 [copy,295,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 0.20/0.44 Following clause subsumed by 284 during input processing: 0 [copy,296,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 0.20/0.44 Following clause subsumed by 312 during input processing: 0 [copy,301,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 0.20/0.44 Following clause subsumed by 313 during input processing: 0 [copy,302,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 0.20/0.44 Following clause subsumed by 283 during input processing: 0 [copy,307,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 0.20/0.44 Following clause subsumed by 301 during input processing: 0 [copy,312,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 0.20/0.44 Following clause subsumed by 302 during input processing: 0 [copy,313,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 0.20/0.44 Following clause subsumed by 317 during input processing: 0 [copy,314,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 0.20/0.44 Following clause subsumed by 314 during input processing: 0 [copy,317,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 0.20/0.44 Following clause subsumed by 295 during input processing: 0 [copy,318,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 0.20/0.44
% 0.20/0.44 ------------> process sos:
% 0.20/0.44 Following clause subsumed by 401 during input processing: 0 [demod,364] {-} 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)).
% 0.20/0.44 Following clause subsumed by 358 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)).
% 0.20/0.44 Following clause subsumed by 358 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)).
% 0.20/0.44 Following clause subsumed by 417 during input processing: 0 [] {-} c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(A)),c_Event_Oused(B),tc_Message_Omsg).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,428] {-} B=B.
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,428] {-} A=A.
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,425] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.20/0.44 Following clause subsumed by 431 during input processing: 0 [] {-} c_in(A,c_List_Oset(c_List_Oappend(B,c_List_Olist_OCons(A,C,D),D),D),D)|c_in(A,c_List_Oset(C,D),D).
% 0.20/0.44 Following clause subsumed by 431 during input processing: 0 [] {-} c_in(A,c_List_Oset(c_List_Oappend(B,c_List_Olist_OCons(A,C,D),D),D),D)|c_in(A,c_List_Oset(B,D),D).
% 0.20/0.44 Following clause subsumed by 435 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.20/0.44 Following clause subsumed by 435 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,428] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,446] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.20/0.44 Following clause subsumed by 447 during input processing: 0 [] {-} c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 0.20/0.44 Following clause subsumed by 444 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)).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,446] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,446] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.20/0.44 Following clause subsumed by 444 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)).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,468] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,490] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.20/0.44 Following clause subsumed by 504 during input processing: 0 [demod,468,468] {-} c_lessequals(c_List_Oset(c_List_Olist_ONil(A),A),c_List_Oset(c_List_Olist_ONil(A),A),tc_fun(A,tc_bool)).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,438] {-} c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 0.20/0.44 Following clause subsumed by 444 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_ONotes(B,C),A,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,428] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.20/0.44 Following clause subsumed by 521 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.20/0.44 Following clause subsumed by 521 during input processing: 0 [demod,456] {-} c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,A),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_fun(tc_Message_Omsg,tc_bool)).
% 0.20/0.44 Following clause subsumed by 444 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)).
% 0.20/0.44 Following clause subsumed by 435 during input processing: 0 [demod,468] {-} c_in(A,c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),B).
% 0.20/0.44 Following clause subsumed by 499 during input processing: 0 [] {-} c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),c_Set_Oinsert(c_Message_Omsg_OAgent(B),C,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OAgent(B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,A),C,tc_Message_Omsg),tc_Message_Omsg).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,530] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,530] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,530] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,559] {-} A=A.
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,559] {-} A=A.
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [demod,545] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.20/0.44 Following clause subsumed by 562 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.20/0.44 Following clause subs
% 0.20/0.44 -------- PROOF --------
% 0.20/0.44 % SZS status Unsatisfiable
% 0.20/0.44 % SZS output start Refutation
% 0.20/0.44 umed by 430 during input processing: 0 [demod,561] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [] {-} A=A.
% 0.20/0.44 Following clause subsumed by 367 during input processing: 0 [copy,367,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)).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [copy,374,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)).
% 0.20/0.44 Following clause subsumed by 375 during input processing: 0 [copy,375,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)).
% 0.20/0.44 Following clause subsumed by 390 during input processing: 0 [copy,387,flip.1] {-} c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [copy,389,flip.1,demod,468,468] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.20/0.44 Following clause subsumed by 387 during input processing: 0 [copy,390,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 0.20/0.44 413 back subsumes 149.
% 0.20/0.44 Following clause subsumed by 430 during input processing: 0 [copy,430,flip.1] {-} A=A.
% 0.20/0.44 430 back subsumes 389.
% 0.20/0.44 430 back subsumes 374.
% 0.20/0.44 430 back subsumes 351.
% 0.20/0.44 430 back subsumes 350.
% 0.20/0.44 430 back subsumes 347.
% 0.20/0.44 430 back subsumes 346.
% 0.20/0.44 430 back subsumes 345.
% 0.20/0.44 430 back subsumes 344.
% 0.20/0.44 430 back subsumes 343.
% 0.20/0.44 430 back subsumes 342.
% 0.20/0.44 Following clause subsumed by 499 during input processing: 0 [copy,448,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OAgent(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_OAgent(A),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.20/0.44
% 0.20/0.44 ----> UNIT CONFLICT at 0.04 sec ----> 631 [binary,630.1,563.1] {-} $F.
% 0.20/0.44
% 0.20/0.44 Length of proof is 1. Level of proof is 1.
% 0.20/0.44
% 0.20/0.44 ---------------- PROOF ----------------
% 0.20/0.44 % SZS status Unsatisfiable
% 0.20/0.44 % SZS output start Refutation
% 0.20/0.44
% 0.20/0.44 111 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.20/0.44 468,467 [] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.20/0.44 563 [] {-} c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent).
% 0.20/0.44 630 [back_demod,111,demod,468] {-} -c_in(A,c_List_Oset(c_List_Olist_ONil(B),B),B).
% 0.20/0.44 631 [binary,630.1,563.1] {-} $F.
% 0.20/0.44
% 0.20/0.44 % SZS output end Refutation
% 0.20/0.44 ------------ end of proof -------------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Search stopped by max_proofs option.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Search stopped by max_proofs option.
% 0.20/0.44
% 0.20/0.44 ============ end of search ============
% 0.20/0.44
% 0.20/0.44 That finishes the proof of the theorem.
% 0.20/0.44
% 0.20/0.44 Process 26381 finished Wed Jun 15 00:47:54 2022
%------------------------------------------------------------------------------