%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV789-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n014.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 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV789-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n014.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 21:45:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.43 ----- Otter 3.2, August 2001 -----
% 0.21/0.43 The process was started by sandbox2 on n014.cluster.edu,
% 0.21/0.43 Tue Jun 14 21:45:21 2022
% 0.21/0.43 The command was "./sos". The process ID is 26963.
% 0.21/0.43
% 0.21/0.43 set(prolog_style_variables).
% 0.21/0.43 set(auto).
% 0.21/0.43 dependent: set(auto1).
% 0.21/0.43 dependent: set(process_input).
% 0.21/0.43 dependent: clear(print_kept).
% 0.21/0.43 dependent: clear(print_new_demod).
% 0.21/0.43 dependent: clear(print_back_demod).
% 0.21/0.43 dependent: clear(print_back_sub).
% 0.21/0.43 dependent: set(control_memory).
% 0.21/0.43 dependent: assign(max_mem, 12000).
% 0.21/0.43 dependent: assign(pick_given_ratio, 4).
% 0.21/0.43 dependent: assign(stats_level, 1).
% 0.21/0.43 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.43 dependent: assign(sos_limit, 5000).
% 0.21/0.43 dependent: assign(max_weight, 60).
% 0.21/0.43 clear(print_given).
% 0.21/0.43
% 0.21/0.43 list(usable).
% 0.21/0.43
% 0.21/0.43 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.21/0.43
% 0.21/0.43 This ia a non-Horn set with equality. The strategy will be
% 0.21/0.43 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.43 unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.43 clauses in usable.
% 0.21/0.43
% 0.21/0.43 dependent: set(knuth_bendix).
% 0.21/0.43 dependent: set(para_from).
% 0.21/0.43 dependent: set(para_into).
% 0.21/0.43 dependent: clear(para_from_right).
% 0.21/0.43 dependent: clear(para_into_right).
% 0.21/0.43 dependent: set(para_from_vars).
% 0.21/0.43 dependent: set(eq_units_both_ways).
% 0.21/0.43 dependent: set(dynamic_demod_all).
% 0.21/0.43 dependent: set(dynamic_demod).
% 0.21/0.43 dependent: set(order_eq).
% 0.21/0.43 dependent: set(back_demod).
% 0.21/0.43 dependent: set(lrpo).
% 0.21/0.43 dependent: set(hyper_res).
% 0.21/0.43 dependent: set(unit_deletion).
% 0.21/0.43 dependent: set(factor).
% 0.21/0.43
% 0.21/0.43 ------------> process usable:
% 0.21/0.43 Following clause subsumed by 21 during input processing: 0 [] {-} c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 0.21/0.43 Following clause subsumed by 35 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).
% 0.21/0.43 Following clause subsumed by 35 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).
% 0.21/0.43 Following clause subsumed by 38 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)).
% 0.21/0.43 Following clause subsumed by 66 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).
% 0.21/0.43 Following clause subsumed by 67 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).
% 0.21/0.43 Following clause subsumed by 77 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).
% 0.21/0.43 Following clause subsumed by 77 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).
% 0.21/0.43 Following clause subsumed by 80 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).
% 0.21/0.43 Following clause subsumed by 83 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_lessequals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.21/0.44 Following clause subsumed by 77 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).
% 0.21/0.44 Following clause subsumed by 77 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).
% 0.21/0.44 Following clause subsumed by 91 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 0.21/0.44 Following clause subsumed by 93 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.21/0.44 Following clause subsumed by 99 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.21/0.44 Following clause subsumed by 125 during input processing: 0 [] {-} c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 0.21/0.44 Following clause subsumed by 125 during input processing: 0 [] {-} -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 0.21/0.44 Following clause subsumed by 125 during input processing: 0 [] {-} -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 0.21/0.44 Following clause subsumed by 130 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.21/0.44 Following clause subsumed by 130 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.21/0.44 Following clause subsumed by 130 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.21/0.44 Following clause subsumed by 131 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.21/0.44 Following clause subsumed by 131 during input processing: 0 [] {-} c_in(A,B,C)| -c_lessequals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 0.21/0.44 Following clause subsumed by 131 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.21/0.44 Following clause subsumed by 132 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 0.21/0.44 Following clause subsumed by 144 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.21/0.44 Following clause subsumed by 145 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)).
% 0.21/0.44 Following clause subsumed by 146 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).
% 0.21/0.44 Following clause subsumed by 198 during input processing: 0 [] {-} c_Message_Oagent_OSpy!=c_Message_Oagent_OServer.
% 0.21/0.44 Following clause subsumed by 122 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).
% 0.21/0.44 Following clause subsumed by 122 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).
% 0.21/0.44 Following clause subsumed by 240 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).
% 0.21/0.44 Following clause subsumed by 263 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.21/0.44 Following clause subsumed by 264 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.21/0.44 Following clause subsumed by 264 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.21/0.44 Following clause subsumed by 283 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.21/0.44 Following clause subsumed by 293 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)).
% 0.21/0.44 Following clause subsumed by 122 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).
% 0.21/0.44 Following clause subsumed by 313 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).
% 0.21/0.44 Following clause subsumed by 364 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.21/0.44 Following clause subsumed by 364 during input processing: 0 [] {-} c_in(A,c_Message_Oparts(B),tc_Message_Omsg)| -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 0.21/0.44 Following clause subsumed by 99 during input processing: 0 [copy,94,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.21/0.44 Following clause subsumed by 94 during input processing: 0 [copy,99,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.21/0.44 125 back subsumes 31.
% 0.21/0.44 130 back subsumes 128.
% 0.21/0.44 Following clause subsumed by 299 during input processing: 0 [copy,163,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Message_OinvKey(c_Public_OpublicKey(C,D)).
% 0.21/0.44 166 back subsumes 146.
% 0.21/0.44 166 back subsumes 29.
% 0.21/0.44 Following clause subsumed by 186 during input processing: 0 [copy,184,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OAgent(C).
% 0.21/0.44 Following clause subsumed by 187 during input processing: 0 [copy,185,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_OMPair(C,D).
% 0.21/0.44 Following clause subsumed by 184 during input processing: 0 [copy,186,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.21/0.44 Following clause subsumed by 185 during input processing: 0 [copy,187,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OCrypt(C,D).
% 0.21/0.44 Following clause subsumed by 189 during input processing: 0 [copy,188,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OAgent(B).
% 0.21/0.44 Following clause subsumed by 188 during input processing: 0 [copy,189,flip.1] {-} c_Message_Omsg_OAgent(A)!=hAPP(c_Message_Omsg_OKey,B).
% 0.21/0.44 Following clause subsumed by 191 during input processing: 0 [copy,190,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 0.21/0.44 Following clause subsumed by 190 during input processing: 0 [copy,191,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OMPair(B,C).
% 0.21/0.44 Following clause subsumed by 201 during input processing: 0 [copy,199,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_ONonce(B).
% 0.21/0.44 Following clause subsumed by 202 during input processing: 0 [copy,200,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_ONonce(C).
% 0.21/0.44 Following clause subsumed by 199 during input processing: 0 [copy,201,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OAgent(B).
% 0.21/0.44 Following clause subsumed by 200 during input processing: 0 [copy,202,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OMPair(B,C).
% 0.21/0.44 Following clause subsumed by 205 during input processing: 0 [copy,203,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.21/0.44 Following clause subsumed by 206 during input processing: 0 [copy,204,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OSays(C,D,E).
% 0.21/0.44 Following clause subsumed by 203 during input processing: 0 [copy,205,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_OGets(D,E).
% 0.21/0.44 Following clause subsumed by 204 during input processing: 0 [copy,206,flip.1] {-} c_Event_Oevent_OSays(A,B,C)!=c_Event_Oevent_ONotes(D,E).
% 0.21/0.44 236 back subsumes 182.
% 0.21/0.44 Following clause subsumed by 273 during input processing: 0 [copy,246,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.21/0.44 246 back subsumes 150.
% 0.21/0.44 Following clause subsumed by 258 during input processing: 0 [copy,248,flip.1] {-} c_Message_Omsg_OMPair(A,B)!=c_Message_Omsg_OAgent(C).
% 0.21/0.45 Following clause subsumed by 277 during input processing: 0 [copy,257,flip.1] {-} c_Public_OshrK(A)!=c_Public_OpublicKey(B,C).
% 0.21/0.45 Following clause subsumed by 248 during input processing: 0 [copy,258,flip.1] {-} c_Message_Omsg_OAgent(A)!=c_Message_Omsg_OMPair(B,C).
% 0.21/0.45 Following clause subsumed by 278 during input processing: 0 [copy,265,flip.1] {-} c_Event_Oevent_ONotes(A,B)!=c_Event_Oevent_OGets(C,D).
% 0.21/0.45 Following clause subsumed by 246 during input processing: 0 [copy,273,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.21/0.45 275 back subsumes 180.
% 0.21/0.45 Following clause subsumed by 257 during input processing: 0 [copy,277,flip.1] {-} c_Public_OpublicKey(A,B)!=c_Public_OshrK(C).
% 0.21/0.45 Following clause subsumed by 265 during input processing: 0 [copy,278,flip.1] {-} c_Event_Oevent_OGets(A,B)!=c_Event_Oevent_ONotes(C,D).
% 0.21/0.45 Following clause subsumed by 297 during input processing: 0 [copy,291,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OshrK(C).
% 0.21/0.45 Following clause subsumed by 291 during input processing: 0 [copy,297,flip.1] {-} c_Public_OshrK(A)!=c_Message_OinvKey(c_Public_OpublicKey(B,C)).
% 0.21/0.45 Following clause subsumed by 163 during input processing: 0 [copy,299,flip.1] {-} c_Message_OinvKey(c_Public_OpublicKey(A,B))!=c_Public_OpublicKey(C,D).
% 0.21/0.45 314 back subsumes 238.
% 0.21/0.45 Following clause subsumed by 357 during input processing: 0 [copy,336,flip.1] {-} c_Message_Omsg_ONonce(A)!=c_Message_Omsg_OCrypt(B,C).
% 0.21/0.45 Following clause subsumed by 348 during input processing: 0 [copy,337,flip.1] {-} c_Message_Omsg_ONonce(A)!=hAPP(c_Message_Omsg_OKey,B).
% 0.21/0.45 Following clause subsumed by 362 during input processing: 0 [copy,347,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_OCrypt(B,C).
% 0.21/0.45 Following clause subsumed by 337 during input processing: 0 [copy,348,flip.1] {-} hAPP(c_Message_Omsg_OKey,A)!=c_Message_Omsg_ONonce(B).
% 0.21/0.45 Following clause subsumed by 336 during input processing: 0 [copy,357,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=c_Message_Omsg_ONonce(C).
% 0.21/0.45 Following clause subsumed by 347 during input processing: 0 [copy,362,flip.1] {-} c_Message_Omsg_OCrypt(A,B)!=hAPP(c_Message_Omsg_OKey,C).
% 0.21/0.45 401 back subsumes 393.
% 0.21/0.45
% 0.21/0.45 ------------> process sos:
% 0.21/0.45 Following clause subsumed by 470 during input processing: 0 [demod,416] {-} 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)).
% 0.21/0.45 Following clause subsumed by 421 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)).
% 0.21/0.45 Following clause subsumed by 421 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)).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,481] {-} A=A.
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,486] {-} A=A.
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,486] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.21/0.45 Following clause subsumed by 492 during input processing: 0 [] {-} c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(A)),c_Event_Oused(B),tc_Message_Omsg).
% 0.21/0.45 Following clause subsumed by 504 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).
% 0.21/0.45 Following clause subsumed by 504 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).
% 0.21/0.45 Following clause subsumed by 508 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.21/0.45 Following clause subsumed by 508 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,481] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,526] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.21/0.45 Following clause subsumed by 527 during input processing: 0 [] {-} c_in(c_Message_Omsg_OAgent(A),c_Message_Osynth(B),tc_Message_Omsg).
% 0.21/0.45 Following clause subsumed by 523 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)).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,526] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,526] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.21/0.45 Following clause subsumed by 533 during input processing: 0 [] {-} c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),c_Set_Oinsert(c_Message_Omsg_OMPair(C,D),E,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(c_Message_Omsg_OMPair(C,D),c_Set_Oinsert(c_Message_Omsg_OCrypt(A,B),E,tc_Message_Omsg),tc_Message_Omsg).
% 0.21/0.45 Following clause subsumed by 523 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)).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,562] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.21/0.45 Following clause subsumed by 533 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).
% 0.21/0.45 Following clause subsumed by 533 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).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,486] {-} c_List_Olast(A,B)=c_List_Olast(A,B).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,514] {-} c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 0.21/0.45 Following clause subsumed by 523 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)).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,481] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.21/0.45 Following clause subsumed by 603 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.21/0.45 Following clause subsumed by 603 during input processing: 0 [demod,548] {-} 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)).
% 0.21/0.45 Following clause subsumed by 523 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)).
% 0.21/0.45 Following clause subsumed by 508 during input processing: 0 [demod,562] {-} c_in(A,c_Set_Oinsert(A,c_List_Oset(c_List_Olist_ONil(B),B),B),B).
% 0.21/0.45 Following clause subsumed by 533 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).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,481] {-} c_List_Ohd(B,A)=c_List_Ohd(B,A).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,615] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,615] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,615] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,617] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.21/0.45 Following clause subsumed by 533 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).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,653] {-} A=A.
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,653] {-} A=A.
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,639] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.21/0.45 Following clause subsumed by 656 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [demod,655] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [] {-} A=A.
% 0.21/0.45 Following clause subsumed by 411 during input processing: 0 [copy,411,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)).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [copy,429,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)).
% 0.21/0.45 Following clause subsumed by 430 during input processing: 0 [copy,430,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)).
% 0.21/0.45 Following clause subsumed by 452 during input processing: 0 [copy,449,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)).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [copy,451,flip.1,demod,562,562] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.21/0.45 Following clause subsumed by 449 during input processing: 0 [copy,452,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).
% 0.21/0.45 Following clause subsumed by 483 during input processing: 0 [copy,483,flip.1] {-} A=A.
% 0.21/0.45 483 back subsumes 451.
% 0.21/0.45 483 back subsumes 429.
% 0.21/0.45 483 back subsumes 396.
% 0.21/0.45 483 back subsumes 395.
% 0.21/0.45 483 back subsumes 394.
% 0.21/0.45 483 back subsumes 392.
% 0.21/0.45 483 back subsumes 391.
% 0.21/0.45 483 back subsumes 390.
% 0.21/0.45 483 back subsumes 389.
% 0.21/0.45 483 back subsumes 388.
% 0.21/0.45 Following clause subsumed by 533 during input processing: 0 [copy,512,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,C),D,tc_Message_Omsg),tc_Message_Omsg)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,C),c_Set_Oinsert(c_Message_Omsg_OMPair(A,B),D,tc_Message_Omsg),tc_Message_Omsg).
% 0.21/0.45 Following clause subsumed by 533 during input processing: 0 [copy,528,flip.1] {-} c_Set_Oinsert(c_Message_Omsg_OAgent(A),c_Set_Oinsert(c_Message_Omsg_OCrypt(B,C),D,tc_Mes
% 0.21/0.45 -------- PROOF --------
% 0.21/0.45 % SZS status Unsatisfiable
% 0.21/0.45 % SZS output start Refutation
% 0.21/0.45 sage_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).
% 0.21/0.45 Following clause subsumed by 533 during input processing: 0 [copy,532,flip.1,demod,562,562] {-} 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).
% 0.21/0.45 Following clause subsumed by 533 during input processing: 0 [copy,533,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.21/0.45 533 back subsumes 532.
% 0.21/0.45 533 back subsumes 528.
% 0.21/0.45 533 back subsumes 512.
% 0.21/0.45 538 back subsumes 211.
% 0.21/0.45
% 0.21/0.45 ----> UNIT CONFLICT at 0.05 sec ----> 742 [binary,741.1,657.1] {-} $F.
% 0.21/0.45
% 0.21/0.45 Length of proof is 1. Level of proof is 1.
% 0.21/0.45
% 0.21/0.45 ---------------- PROOF ----------------
% 0.21/0.45 % SZS status Unsatisfiable
% 0.21/0.45 % SZS output start Refutation
% 0.21/0.45
% 0.21/0.45 130 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.21/0.45 562,561 [] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.21/0.45 657 [] {-} c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent).
% 0.21/0.45 741 [back_demod,130,demod,562] {-} -c_in(A,c_List_Oset(c_List_Olist_ONil(B),B),B).
% 0.21/0.45 742 [binary,741.1,657.1] {-} $F.
% 0.21/0.45
% 0.21/0.45 % SZS output end Refutation
% 0.21/0.45 ------------ end of proof -------------
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Search stopped by max_proofs option.
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Search stopped by max_proofs option.
% 0.21/0.45
% 0.21/0.45 ============ end of search ============
% 0.21/0.45
% 0.21/0.45 That finishes the proof of the theorem.
% 0.21/0.45
% 0.21/0.45 Process 26963 finished Tue Jun 14 21:45:21 2022
%------------------------------------------------------------------------------