TSTP Solution File: SWV799-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV799-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 21:14:51 EDT 2022
% Result : Unsatisfiable 0.93s 1.29s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV799-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 02:12:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.93/1.20 ============================== Prover9 ===============================
% 0.93/1.20 Prover9 (32) version 2009-11A, November 2009.
% 0.93/1.20 Process 29489 was started by sandbox on n003.cluster.edu,
% 0.93/1.20 Wed Jun 15 02:12:11 2022
% 0.93/1.20 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_29336_n003.cluster.edu".
% 0.93/1.20 ============================== end of head ===========================
% 0.93/1.20
% 0.93/1.20 ============================== INPUT =================================
% 0.93/1.20
% 0.93/1.20 % Reading from file /tmp/Prover9_29336_n003.cluster.edu
% 0.93/1.20
% 0.93/1.20 set(prolog_style_variables).
% 0.93/1.20 set(auto2).
% 0.93/1.20 % set(auto2) -> set(auto).
% 0.93/1.20 % set(auto) -> set(auto_inference).
% 0.93/1.20 % set(auto) -> set(auto_setup).
% 0.93/1.20 % set(auto_setup) -> set(predicate_elim).
% 0.93/1.20 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.93/1.20 % set(auto) -> set(auto_limits).
% 0.93/1.20 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.93/1.20 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.93/1.20 % set(auto) -> set(auto_denials).
% 0.93/1.20 % set(auto) -> set(auto_process).
% 0.93/1.20 % set(auto2) -> assign(new_constants, 1).
% 0.93/1.20 % set(auto2) -> assign(fold_denial_max, 3).
% 0.93/1.20 % set(auto2) -> assign(max_weight, "200.000").
% 0.93/1.20 % set(auto2) -> assign(max_hours, 1).
% 0.93/1.20 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.93/1.20 % set(auto2) -> assign(max_seconds, 0).
% 0.93/1.20 % set(auto2) -> assign(max_minutes, 5).
% 0.93/1.20 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.93/1.20 % set(auto2) -> set(sort_initial_sos).
% 0.93/1.20 % set(auto2) -> assign(sos_limit, -1).
% 0.93/1.20 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.93/1.20 % set(auto2) -> assign(max_megs, 400).
% 0.93/1.20 % set(auto2) -> assign(stats, some).
% 0.93/1.20 % set(auto2) -> clear(echo_input).
% 0.93/1.20 % set(auto2) -> set(quiet).
% 0.93/1.20 % set(auto2) -> clear(print_initial_clauses).
% 0.93/1.20 % set(auto2) -> clear(print_given).
% 0.93/1.20 assign(lrs_ticks,-1).
% 0.93/1.20 assign(sos_limit,10000).
% 0.93/1.20 assign(order,kbo).
% 0.93/1.20 set(lex_order_vars).
% 0.93/1.20 clear(print_given).
% 0.93/1.20
% 0.93/1.20 % formulas(sos). % not echoed (632 formulas)
% 0.93/1.20
% 0.93/1.20 ============================== end of input ==========================
% 0.93/1.20
% 0.93/1.20 % From the command line: assign(max_seconds, 300).
% 0.93/1.20
% 0.93/1.20 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.93/1.20
% 0.93/1.20 % Formulas that are not ordinary clauses:
% 0.93/1.20
% 0.93/1.20 ============================== end of process non-clausal formulas ===
% 0.93/1.20
% 0.93/1.20 ============================== PROCESS INITIAL CLAUSES ===============
% 0.93/1.20
% 0.93/1.20 ============================== PREDICATE ELIMINATION =================
% 0.93/1.20 1 c_NS__Shared__Mirabelle_OIssues(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),E) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(A,c_Event_Obad,tc_Message_Oagent) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -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].
% 0.93/1.20 2 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].
% 0.93/1.20 3 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].
% 0.93/1.20 Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -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) | 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)].
% 0.93/1.23 Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -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) | 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)].
% 0.93/1.23 4 c_NS__Shared__Mirabelle_OIssues(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),E) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(A,c_Event_Obad,tc_Message_Oagent) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -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) | -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].
% 0.93/1.23 Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -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) | -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) | 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)].
% 0.93/1.23 Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -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) | -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) | 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)].
% 0.93/1.23 5 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.93/1.23 6 -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].
% 0.93/1.23 7 -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].
% 0.93/1.23 8 -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].
% 0.93/1.23 9 -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].
% 0.93/1.23 10 -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].
% 0.93/1.23 11 -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].
% 0.93/1.23 12 -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].
% 0.93/1.23 13 -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].
% 0.93/1.23 14 -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].
% 0.93/1.23 15 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.93/1.23 16 -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].
% 0.93/1.23 17 -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].
% 0.93/1.23 18 -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].
% 0.93/1.23 19 -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].
% 0.93/1.23 20 -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].
% 0.93/1.23 21 -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].
% 0.93/1.23 22 -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].
% 0.93/1.23 23 -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].
% 0.93/1.23 24 -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].
% 0.93/1.23 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,6,a)].
% 0.93/1.23 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,7,a)].
% 0.93/1.23 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,8,a)].
% 0.93/1.23 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,9,a)].
% 0.93/1.23 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,10,a)].
% 0.93/1.23 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,11,a)].
% 0.93/1.23 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,12,a)].
% 0.93/1.23 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(5,a,15,a)].
% 0.93/1.23 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,16,a)].
% 0.93/1.23 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,17,a)].
% 0.93/1.23 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,18,a)].
% 0.93/1.23 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,19,a)].
% 0.93/1.23 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,20,a)].
% 0.93/1.23 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,23,a)].
% 0.93/1.23 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,24,a)].
% 0.93/1.23 25 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.93/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(25,a,6,a)].
% 0.93/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(25,a,7,a)].
% 0.93/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(25,a,8,a)].
% 0.93/1.23 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,9,a)].
% 0.93/1.23 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,10,a)].
% 0.93/1.23 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,11,a)].
% 0.93/1.23 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,12,a)].
% 0.93/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(25,a,15,a)].
% 0.93/1.23 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,16,a)].
% 0.93/1.23 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,17,a)].
% 0.93/1.23 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,18,a)].
% 0.93/1.23 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(25,a,19,a)].
% 0.93/1.23 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(25,a,20,a)].
% 0.93/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(25,a,23,a)].
% 0.93/1.29 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,24,a)].
% 0.93/1.29 26 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.93/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(26,a,6,a)].
% 0.93/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(26,a,7,a)].
% 0.93/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(26,a,8,a)].
% 0.93/1.29 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,9,a)].
% 0.93/1.29 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,10,a)].
% 0.93/1.29 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,11,a)].
% 0.93/1.29 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,12,a)].
% 0.93/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(26,a,15,a)].
% 0.93/1.29 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,16,a)].
% 0.93/1.29 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,17,a)].
% 0.93/1.29 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,18,a)].
% 0.93/1.29 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(26,a,19,a)].
% 0.93/1.29 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(26,a,20,a)].
% 0.93/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(26,a,23,a)].
% 0.93/1.29 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,24,a)].
% 0.93/1.29 27 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.93/1.29 28 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.93/1.29 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(27,a,28,a)].
% 0.93/1.29 29 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.93/1.29 30 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.93/1.29 Derived: A = A. [resolve(29,b,30,a)].
% 0.93/1.29
% 0.93/1.29 ============================== end predicate elimination =============
% 0.93/1.29
% 0.93/1.29 Auto_denials: (non-Horn, no changes).
% 0.93/1.29
% 0.93/1.29 Term ordering decisions:
% 0.93/1.29 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. tc_Message_Oagent=1. c_Public_OshrK=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. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=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_HOL_Ouminus__class_Ouminus=1. c_Event_Oevent_ONotes=1. c_Event_Oevent_OGets=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2=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_Orderings_Otop__class_Otop=1. c_Event_Oused=1. c_Public_OpublicKey=1. c_Message_OkeysFor=1. c_Message_Omsg_OHash=1. c_Event_OinitState=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_Event_Oevent_OSays=1. c_List_Olist_OCons=1. c_List_Oappend=1. c_List_Osko__List__Xsplit__list__first__prop__iff__1__5=1. c_List_Osko__List__Xsplit__list__last__prop__iff__1__5=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.
% 0.93/1.29
% 0.93/1.29 ============================== PROOF =================================
% 0.93/1.29 % SZS status Unsatisfiable
% 0.93/1.29 % SZS output start Refutation
% 0.93/1.29
% 0.93/1.29 % Proof 1 at 0.12 (+ 0.00) seconds.
% 0.93/1.29 % Length of proof is 6.
% 0.93/1.29 % Level of proof is 3.
% 0.93/1.29 % Maximum clause weight is 14.000.
% 0.93/1.29 % Given clauses 0.
% 0.93/1.29
% 0.93/1.29 439 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg) # label(cls_Crypt__notin__initState_0) # label(axiom). [assumption].
% 0.93/1.29 449 c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(A) # label(cls_knows__Nil_0) # label(axiom). [assumption].
% 0.93/1.29 450 c_Event_OinitState(A) = c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)). [copy(449),flip(a)].
% 0.93/1.29 626 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 0.93/1.29 721 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_Oknows(C,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg). [back_rewrite(439),rewrite([450(2)])].
% 0.93/1.29 722 $F. [resolve(721,a,626,a)].
% 0.93/1.29
% 0.93/1.29 % SZS output end Refutation
% 0.93/1.29 ============================== end of proof ==========================
% 0.93/1.29
% 0.93/1.29 ============================== STATISTICS ============================
% 0.93/1.29
% 0.93/1.29 Given=0. Generated=683. Kept=562. proofs=1.
% 0.93/1.29 Usable=0. Sos=285. Demods=75. Limbo=237, Disabled=722. Hints=0.
% 0.93/1.29 Megabytes=1.71.
% 0.93/1.29 User_CPU=0.12, System_CPU=0.00, Wall_clock=0.
% 0.93/1.29
% 0.93/1.29 ============================== end of statistics =====================
% 0.93/1.29
% 0.93/1.29 ============================== end of search =========================
% 0.93/1.29
% 0.93/1.29 THEOREM PROVED
% 0.93/1.29 % SZS status Unsatisfiable
% 0.93/1.29
% 0.93/1.29 Exiting with 1 proof.
% 0.93/1.29
% 0.93/1.29 Process 29489 exit (max_proofs) Wed Jun 15 02:12:11 2022
% 0.93/1.29 Prover9 interrupted
%------------------------------------------------------------------------------