TSTP Solution File: SWV795-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV795-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n010.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 21:14:50 EDT 2022
% Result : Unsatisfiable 9.07s 9.37s
% Output : Refutation 9.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV795-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n010.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 16:19:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.96/1.28 ============================== Prover9 ===============================
% 0.96/1.28 Prover9 (32) version 2009-11A, November 2009.
% 0.96/1.28 Process 27175 was started by sandbox2 on n010.cluster.edu,
% 0.96/1.28 Tue Jun 14 16:19:25 2022
% 0.96/1.28 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27022_n010.cluster.edu".
% 0.96/1.28 ============================== end of head ===========================
% 0.96/1.28
% 0.96/1.28 ============================== INPUT =================================
% 0.96/1.28
% 0.96/1.28 % Reading from file /tmp/Prover9_27022_n010.cluster.edu
% 0.96/1.28
% 0.96/1.28 set(prolog_style_variables).
% 0.96/1.28 set(auto2).
% 0.96/1.28 % set(auto2) -> set(auto).
% 0.96/1.28 % set(auto) -> set(auto_inference).
% 0.96/1.28 % set(auto) -> set(auto_setup).
% 0.96/1.28 % set(auto_setup) -> set(predicate_elim).
% 0.96/1.28 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.96/1.28 % set(auto) -> set(auto_limits).
% 0.96/1.28 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.96/1.28 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.96/1.28 % set(auto) -> set(auto_denials).
% 0.96/1.28 % set(auto) -> set(auto_process).
% 0.96/1.28 % set(auto2) -> assign(new_constants, 1).
% 0.96/1.28 % set(auto2) -> assign(fold_denial_max, 3).
% 0.96/1.28 % set(auto2) -> assign(max_weight, "200.000").
% 0.96/1.28 % set(auto2) -> assign(max_hours, 1).
% 0.96/1.28 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.96/1.28 % set(auto2) -> assign(max_seconds, 0).
% 0.96/1.28 % set(auto2) -> assign(max_minutes, 5).
% 0.96/1.28 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.96/1.28 % set(auto2) -> set(sort_initial_sos).
% 0.96/1.28 % set(auto2) -> assign(sos_limit, -1).
% 0.96/1.28 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.96/1.28 % set(auto2) -> assign(max_megs, 400).
% 0.96/1.28 % set(auto2) -> assign(stats, some).
% 0.96/1.28 % set(auto2) -> clear(echo_input).
% 0.96/1.28 % set(auto2) -> set(quiet).
% 0.96/1.28 % set(auto2) -> clear(print_initial_clauses).
% 0.96/1.28 % set(auto2) -> clear(print_given).
% 0.96/1.28 assign(lrs_ticks,-1).
% 0.96/1.28 assign(sos_limit,10000).
% 0.96/1.28 assign(order,kbo).
% 0.96/1.28 set(lex_order_vars).
% 0.96/1.28 clear(print_given).
% 0.96/1.28
% 0.96/1.28 % formulas(sos). % not echoed (622 formulas)
% 0.96/1.28
% 0.96/1.28 ============================== end of input ==========================
% 0.96/1.28
% 0.96/1.28 % From the command line: assign(max_seconds, 300).
% 0.96/1.28
% 0.96/1.28 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.96/1.28
% 0.96/1.28 % Formulas that are not ordinary clauses:
% 0.96/1.28
% 0.96/1.28 ============================== end of process non-clausal formulas ===
% 0.96/1.28
% 0.96/1.28 ============================== PROCESS INITIAL CLAUSES ===============
% 0.96/1.28
% 0.96/1.28 ============================== PREDICATE ELIMINATION =================
% 0.96/1.28 1 c_NS__Shared__Mirabelle_OIssues(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),E) | -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(B,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg)) | -hBOOL(c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent)) # label(cls_B__Issues__A_0) # label(axiom). [assumption].
% 0.96/1.28 2 hBOOL(c_in(A,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,D),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)) | -c_NS__Shared__Mirabelle_OIssues(B,C,A,D) # label(cls_Issues__def_1) # label(axiom). [assumption].
% 0.96/1.28 3 hBOOL(c_in(c_Event_Oevent_OSays(A,B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(A,B,C,D)),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)) | -c_NS__Shared__Mirabelle_OIssues(A,B,C,D) # label(cls_Issues__def_0) # label(axiom). [assumption].
% 0.96/1.28 Derived: -hBOOL(c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | hBOOL(c_in(B,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)) | -hBOOL(c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)) | hBOOL(c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),A),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)). [resolve(1,a,2,b)].
% 0.96/1.30 Derived: -hBOOL(c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | hBOOL(c_in(B,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)) | -hBOOL(c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)) | hBOOL(c_in(c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),A)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)). [resolve(1,a,3,b)].
% 0.96/1.30 4 c_NS__Shared__Mirabelle_OIssues(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),E) | -hBOOL(c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(B,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg)) | -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),V6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg)) | -hBOOL(c_in(c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg)) # label(cls_A__authenticates__and__keydist__to__B_0) # label(axiom). [assumption].
% 0.96/1.30 Derived: -hBOOL(c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | hBOOL(c_in(B,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)) | -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)) | -hBOOL(c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)) | hBOOL(c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),A),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)). [resolve(4,a,2,b)].
% 0.96/1.30 Derived: -hBOOL(c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | hBOOL(c_in(B,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(C,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)) | -hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)) | -hBOOL(c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)) | hBOOL(c_in(c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),A)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)). [resolve(4,a,3,b)].
% 0.96/1.30 5 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.30 6 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.96/1.30 7 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) # label(cls_sup__assoc_0) # label(axiom). [assumption].
% 0.96/1.30 8 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A) # label(cls_sup__left__commute_0) # label(axiom). [assumption].
% 0.96/1.30 9 -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) # label(cls_le__supI_0) # label(axiom). [assumption].
% 0.96/1.30 10 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) # label(cls_sup__ge1_0) # label(axiom). [assumption].
% 0.96/1.30 11 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A) # label(cls_sup__ge2_0) # label(axiom). [assumption].
% 0.96/1.30 12 -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) # label(cls_sup__least_0) # label(axiom). [assumption].
% 0.96/1.30 13 -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) # label(cls_le__sup__iff_2) # label(axiom). [assumption].
% 0.96/1.30 14 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = c_Lattices_Oupper__semilattice__class_Osup(C,B,A) # label(cls_sup__commute_0) # label(axiom). [assumption].
% 0.96/1.30 15 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) = c_Lattices_Oupper__semilattice__class_Osup(B,C,A) # label(cls_sup__left__idem_0) # label(axiom). [assumption].
% 0.96/1.30 16 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 0.96/1.30 17 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom). [assumption].
% 0.96/1.30 18 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 0.96/1.30 19 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__sup__iff_1) # label(axiom). [assumption].
% 0.96/1.30 20 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__sup__iff_0) # label(axiom). [assumption].
% 0.96/1.30 21 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 0.96/1.30 22 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 0.96/1.30 23 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__supE_1) # label(axiom). [assumption].
% 0.96/1.30 24 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__supE_0) # label(axiom). [assumption].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(5,a,6,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(5,a,7,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(E,A)),tc_fun(E,A)). [resolve(5,a,8,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)). [resolve(5,a,9,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)). [resolve(5,a,10,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)),tc_fun(D,A)). [resolve(5,a,11,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)). [resolve(5,a,14,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)). [resolve(5,a,15,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = B | -c_lessequals(C,B,tc_fun(D,A)). [resolve(5,a,16,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) != C | c_lessequals(B,C,tc_fun(D,A)). [resolve(5,a,17,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = C | -c_lessequals(B,C,tc_fun(D,A)). [resolve(5,a,18,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(5,a,19,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(5,a,20,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)). [resolve(5,a,21,a)].
% 0.96/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)). [resolve(5,a,22,a)].
% 0.96/1.30 25 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(25,a,6,a)].
% 0.96/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat). [resolve(25,a,7,a)].
% 0.96/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),tc_nat). [resolve(25,a,8,a)].
% 0.96/1.30 Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(25,a,9,a)].
% 0.96/1.30 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(25,a,10,a)].
% 0.96/1.30 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(25,a,11,a)].
% 0.96/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(25,a,14,a)].
% 0.96/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat). [resolve(25,a,15,a)].
% 0.96/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(25,a,16,a)].
% 0.96/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(25,a,17,a)].
% 0.96/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(25,a,18,a)].
% 0.96/1.40 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat). [resolve(25,a,19,a)].
% 0.96/1.40 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat). [resolve(25,a,20,a)].
% 0.96/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(25,a,21,a)].
% 0.96/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(25,a,22,a)].
% 0.96/1.40 26 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(26,a,6,a)].
% 0.96/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool). [resolve(26,a,7,a)].
% 0.96/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),tc_bool). [resolve(26,a,8,a)].
% 0.96/1.40 Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(26,a,9,a)].
% 0.96/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(26,a,10,a)].
% 0.96/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(26,a,11,a)].
% 0.96/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(26,a,14,a)].
% 0.96/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool). [resolve(26,a,15,a)].
% 0.96/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(26,a,16,a)].
% 0.96/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(26,a,17,a)].
% 0.96/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(26,a,18,a)].
% 0.96/1.40 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool). [resolve(26,a,19,a)].
% 0.96/1.40 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool). [resolve(26,a,20,a)].
% 0.96/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(26,a,21,a)].
% 0.96/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(26,a,22,a)].
% 0.96/1.40 27 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.96/1.40 28 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.96/1.40 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(27,a,28,a)].
% 0.96/1.40 29 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.96/1.40 30 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.96/1.40 Derived: A = A. [resolve(29,b,30,a)].
% 0.96/1.40
% 0.96/1.40 ============================== end predicate elimination =============
% 0.96/1.40
% 0.96/1.40 Auto_denials: (non-Horn, no changes).
% 0.96/1.40
% 0.96/1.40 Term ordering decisions:
% 0.96/1.40 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. c_Message_Omsg_OKey=1. tc_nat=1. c_Message_Oagent_OSpy=1. c_Public_OshrK=1. tc_Message_Oagent=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Event_Obad=1. c_Message_OinvKey=1. c_Message_Oagent_OServer=1. c_Message_OsymKeys=1. v_x=1. t_a=1. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. v_evs=1. v_K=1. v_NB=1. v_A=1. v_B=1. v_NA=1. v_X=1. tc_fun=1. hAPP=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_Event_Oevent_ONotes=1. c_Message_OHPair=1. c_Event_Oevent_OGets=1. c_Message_Osko__Message__Xanalz__insert__eq__I__1__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Message_Osynth=1. c_Message_Omsg_ONonce=1. c_Orderings_Obot__class_Obot=1. c_Message_Omsg_OAgent=1. tc_List_Olist=1. c_List_Olist_ONil=1. c_Event_Oused=1. c_Public_OpublicKey=1. c_Message_Omsg_OHash=1. c_Orderings_Otop__class_Otop=1. c_Message_OkeysFor=1. c_NS__Shared__Mirabelle_Ons__sharedp=1. c_Event_OinitState=1. c_Public_Osko__Public__XNonce__supply1__1__1=1. c_in=1. c_Set_Oinsert=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Event_Oevent_OSays=1. c_List_Olist_OCons=1. c_List_Oappend=1. c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1=1. v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1=1. v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1=1. v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1=1. v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1=1. c_Set_Oimage=1. v_sko__NS__Shared__Mirabelle__XIssues__def__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1=1.
% 9.07/9.37
% 9.07/9.37 ============================== end of process initial clauses ========
% 9.07/9.37
% 9.07/9.37 ============================== CLAUSES FOR SEARCH ====================
% 9.07/9.37
% 9.07/9.37 ============================== end of clauses for search =============
% 9.07/9.37
% 9.07/9.37 ============================== SEARCH ================================
% 9.07/9.37
% 9.07/9.37 % Starting search at 0.20 seconds.
% 9.07/9.37
% 9.07/9.37 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 26 (0.00 of 0.48 sec).
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=45.000, iters=3381
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=42.000, iters=3334
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=41.000, iters=3409
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=39.000, iters=3377
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=36.000, iters=3353
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=35.000, iters=3364
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=33.000, iters=3345
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=32.000, iters=3375
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=31.000, iters=3402
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=30.000, iters=3353
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=29.000, iters=3349
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=28.000, iters=3406
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=27.000, iters=3341
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=26.000, iters=3354
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=25.000, iters=3376
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=24.000, iters=3340
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=23.000, iters=3349
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=22.000, iters=3344
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=21.000, iters=3359
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=20.000, iters=3341
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=19.000, iters=3350
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=18.000, iters=3344
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=17.000, iters=3342
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=16.000, iters=3357
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=15.000, iters=3339
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=14.000, iters=3334
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=13.000, iters=3335
% 9.07/9.37
% 9.07/9.37 Low Water (keep): wt=12.000, iters=3333
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=10647, wt=51.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=13608, wt=48.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=10775, wt=45.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=10674, wt=42.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=9082, wt=41.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=8395, wt=36.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=15933, wt=35.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=13179, wt=34.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=15132, wt=33.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=16731, wt=32.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=17894, wt=31.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=18236, wt=30.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=18420, wt=29.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=18403, wt=28.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=18695, wt=27.000
% 9.07/9.37
% 9.07/9.37 Low Water (displace): id=18963, wt=26.000
% 9.07/9.37
% 9.07/9.37 ============================== PROOF =================================
% 9.07/9.37 % SZS status Unsatisfiable
% 9.07/9.37 % SZS output start Refutation
% 9.07/9.37
% 9.07/9.37 % Proof 1 at 8.01 (+ 0.16) seconds.
% 9.07/9.37 % Length of proof is 27.
% 9.07/9.37 % Level of proof is 7.
% 9.07/9.37 % Maximum clause weight is 15.000.
% 9.07/9.37 % Given clauses 7796.
% 9.07/9.37
% 9.07/9.37 57 c_List_Oset(c_List_Olist_ONil(A),A) = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) # label(cls_set__empty_1) # label(axiom). [assumption].
% 9.07/9.37 71 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 9.07/9.37 99 hBOOL(hAPP(A,B)) | -hBOOL(hAPP(A,c_Public_Okeymode_OEncryption)) | -hBOOL(hAPP(A,c_Public_Okeymode_OSignature)) # label(cls_keymode_Oinduct_0) # label(axiom). [assumption].
% 9.07/9.37 113 A = c_List_Oappend(c_List_Olist_ONil(B),A,B) # label(cls_eq__Nil__appendI_0) # label(axiom). [assumption].
% 9.07/9.37 114 c_List_Oappend(c_List_Olist_ONil(A),B,A) = B. [copy(113),flip(a)].
% 9.07/9.37 159 c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C) = c_List_Olist_OCons(A,c_List_Oappend(B,D,C),C) # label(cls_append__eq__Cons__conv_5) # label(axiom). [assumption].
% 9.07/9.37 167 c_List_Olist_OCons(A,B,C) != c_List_Olist_ONil(C) # label(cls_neq__Nil__conv_1) # label(axiom). [assumption].
% 9.07/9.37 258 c_List_Oappend(A,B,C) != B | A = c_List_Olist_ONil(C) # label(cls_append__self__conv2_0) # label(axiom). [assumption].
% 9.07/9.37 259 c_List_Oappend(A,B,C) != B | c_List_Olist_ONil(C) = A. [copy(258),flip(b)].
% 9.07/9.37 430 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 9.07/9.37 433 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 9.07/9.37 438 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 9.07/9.37 505 A != c_List_Olist_OCons(B,A,C) # label(cls_not__Cons__self_0) # label(axiom). [assumption].
% 9.07/9.37 506 c_List_Olist_OCons(A,B,C) != B. [copy(505),flip(a)].
% 9.07/9.37 764 -hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(A),A),B)). [para(57(a,2),71(a,1,1))].
% 9.07/9.37 1089 c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D) != C. [para(159(a,1),259(a,1)),flip(b),unit_del(b,167)].
% 9.07/9.37 1764 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | -hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),c_Public_Okeymode_OEncryption)). [resolve(430,a,99,c)].
% 9.07/9.37 1927 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(438,b,430,a)].
% 9.07/9.37 2720 c_List_Olist_OCons(A,c_List_Olist_OCons(B,c_List_Oappend(C,D,E),E),E) != D. [para(159(a,1),1089(a,1,2))].
% 9.07/9.37 2829 c_List_Olist_OCons(A,c_List_Olist_OCons(B,C,D),D) != C. [para(114(a,1),2720(a,1,2,2))].
% 9.07/9.37 19741 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(1764,b,1927,a)].
% 9.07/9.37 19755 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C)) | c_Public_Okeymode_OSignature = C. [resolve(19741,a,433,c)].
% 9.07/9.37 19772 c_Public_Okeymode_OSignature = A | hBOOL(hAPP(B,A)) | c_Public_Okeymode_OEncryption = A. [resolve(19755,a,433,c)].
% 9.07/9.37 19783 c_Public_Okeymode_OSignature = A | c_Public_Okeymode_OEncryption = A. [resolve(19772,b,764,a)].
% 9.07/9.37 19794 c_List_Olist_OCons(A,c_List_Olist_OCons(B,c_Public_Okeymode_OSignature,C),C) = c_Public_Okeymode_OEncryption. [resolve(19783,a,2829,a(flip)),flip(a)].
% 9.07/9.37 19799 c_List_Olist_OCons(A,c_Public_Okeymode_OSignature,B) = c_Public_Okeymode_OEncryption. [resolve(19783,a,506,a(flip)),flip(a)].
% 9.07/9.37 22920 $F. [back_rewrite(19794),rewrite([19799(2)]),unit_del(a,506)].
% 9.07/9.37
% 9.07/9.37 % SZS output end Refutation
% 9.07/9.37 ============================== end of proof ==========================
% 9.07/9.37
% 9.07/9.37 ============================== STATISTICS ============================
% 9.07/9.37
% 9.07/9.37 Given=7796. Generated=321082. Kept=22738. proofs=1.
% 9.07/9.37 Usable=7451. Sos=9999. Demods=753. Limbo=3121, Disabled=2840. Hints=0.
% 9.07/9.37 Megabytes=34.04.
% 9.07/9.37 User_CPU=8.01, System_CPU=0.16, Wall_clock=8.
% 9.07/9.37
% 9.07/9.37 ============================== end of statistics =====================
% 9.07/9.37
% 9.07/9.37 ============================== end of search =========================
% 9.07/9.37
% 9.07/9.37 THEOREM PROVED
% 9.07/9.37 % SZS status Unsatisfiable
% 9.07/9.37
% 9.07/9.37 Exiting with 1 proof.
% 9.07/9.37
% 9.07/9.37 Process 27175 exit (max_proofs) Tue Jun 14 16:19:33 2022
% 9.07/9.37 Prover9 interrupted
%------------------------------------------------------------------------------