TSTP Solution File: SWV304-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV304-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 21:11:41 EDT 2022
% Result : Unsatisfiable 2.44s 2.75s
% Output : Refutation 2.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV304-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.37 % Computer : n012.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 600
% 0.13/0.37 % DateTime : Wed Jun 15 03:53:55 EDT 2022
% 0.13/0.37 % CPUTime :
% 2.44/2.75 ============================== Prover9 ===============================
% 2.44/2.75 Prover9 (32) version 2009-11A, November 2009.
% 2.44/2.75 Process 29599 was started by sandbox on n012.cluster.edu,
% 2.44/2.75 Wed Jun 15 03:53:55 2022
% 2.44/2.75 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_29445_n012.cluster.edu".
% 2.44/2.75 ============================== end of head ===========================
% 2.44/2.75
% 2.44/2.75 ============================== INPUT =================================
% 2.44/2.75
% 2.44/2.75 % Reading from file /tmp/Prover9_29445_n012.cluster.edu
% 2.44/2.75
% 2.44/2.75 set(prolog_style_variables).
% 2.44/2.75 set(auto2).
% 2.44/2.75 % set(auto2) -> set(auto).
% 2.44/2.75 % set(auto) -> set(auto_inference).
% 2.44/2.75 % set(auto) -> set(auto_setup).
% 2.44/2.75 % set(auto_setup) -> set(predicate_elim).
% 2.44/2.75 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.44/2.75 % set(auto) -> set(auto_limits).
% 2.44/2.75 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.44/2.75 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.44/2.75 % set(auto) -> set(auto_denials).
% 2.44/2.75 % set(auto) -> set(auto_process).
% 2.44/2.75 % set(auto2) -> assign(new_constants, 1).
% 2.44/2.75 % set(auto2) -> assign(fold_denial_max, 3).
% 2.44/2.75 % set(auto2) -> assign(max_weight, "200.000").
% 2.44/2.75 % set(auto2) -> assign(max_hours, 1).
% 2.44/2.75 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.44/2.75 % set(auto2) -> assign(max_seconds, 0).
% 2.44/2.75 % set(auto2) -> assign(max_minutes, 5).
% 2.44/2.75 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.44/2.75 % set(auto2) -> set(sort_initial_sos).
% 2.44/2.75 % set(auto2) -> assign(sos_limit, -1).
% 2.44/2.75 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.44/2.75 % set(auto2) -> assign(max_megs, 400).
% 2.44/2.75 % set(auto2) -> assign(stats, some).
% 2.44/2.75 % set(auto2) -> clear(echo_input).
% 2.44/2.75 % set(auto2) -> set(quiet).
% 2.44/2.75 % set(auto2) -> clear(print_initial_clauses).
% 2.44/2.75 % set(auto2) -> clear(print_given).
% 2.44/2.75 assign(lrs_ticks,-1).
% 2.44/2.75 assign(sos_limit,10000).
% 2.44/2.75 assign(order,kbo).
% 2.44/2.75 set(lex_order_vars).
% 2.44/2.75 clear(print_given).
% 2.44/2.75
% 2.44/2.75 % formulas(sos). % not echoed (20 formulas)
% 2.44/2.75
% 2.44/2.75 ============================== end of input ==========================
% 2.44/2.75
% 2.44/2.75 % From the command line: assign(max_seconds, 300).
% 2.44/2.75
% 2.44/2.75 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.44/2.75
% 2.44/2.75 % Formulas that are not ordinary clauses:
% 2.44/2.75
% 2.44/2.75 ============================== end of process non-clausal formulas ===
% 2.44/2.75
% 2.44/2.75 ============================== PROCESS INITIAL CLAUSES ===============
% 2.44/2.75
% 2.44/2.75 ============================== PREDICATE ELIMINATION =================
% 2.44/2.75
% 2.44/2.75 ============================== end predicate elimination =============
% 2.44/2.75
% 2.44/2.75 Auto_denials: (non-Horn, no changes).
% 2.44/2.75
% 2.44/2.75 Term ordering decisions:
% 2.44/2.75 Function symbol KB weights: tc_Message_Omsg=1. tc_Event_Oevent=1. v_B=1. v_A=1. v_NA=1. v_evs4=1. v_NB=1. c_Message_Oagent_OSpy=1. c_Message_Oagent_OServer=1. c_OtwayRees_Ootway=1. v_K=1. v_X=1. c_Event_Obad=1. tc_Message_Oagent=1. v_Ba=1. v_x=1. v_Ka=1. v_NAa=1. v_NBa=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_List_Oset=1. c_Event_Oknows=1. c_Event_Oevent_OGets=1. c_Message_Omsg_OAgent=1. c_Public_OshrK=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Message_Omsg_OKey=1. c_Message_Osynth=1. tc_List_Olist=1. c_Message_Omsg_ONonce=1. c_Event_Oevent_OSays=1. c_insert=1. c_union=1. v_sko__uwX=1. v_sko__vCt=1.
% 2.44/2.75
% 2.44/2.75 ============================== end of process initial clauses ========
% 2.44/2.75
% 2.44/2.75 ============================== CLAUSES FOR SEARCH ====================
% 2.44/2.75
% 2.44/2.75 ============================== end of clauses for search =============
% 2.44/2.75
% 2.44/2.75 ============================== SEARCH ================================
% 2.44/2.75
% 2.44/2.75 % Starting search at 0.02 seconds.
% 2.44/2.75
% 2.44/2.75 Low Water (keep): wt=40.000, iters=3478
% 2.44/2.75
% 2.44/2.75 Low Water (keep): wt=37.000, iters=3421
% 2.44/2.75
% 2.44/2.75 Low Water (keep): wt=35.000, iters=3340
% 2.44/2.75
% 2.44/2.75 Low Water (keep): wt=34.000, iters=3340
% 2.44/2.75
% 2.44/2.75 Low Water (keep): wt=31.000, iters=3334
% 2.44/2.75
% 2.44/2.75 ============================== PROOF =================================
% 2.44/2.75 % SZS status Unsatisfiable
% 2.44/2.75 % SZS output start Refutation
% 2.44/2.75
% 2.44/2.75 % Proof 1 at 1.65 (+ 0.07) seconds.
% 2.44/2.75 % Length of proof is 43.
% 2.44/2.75 % Level of proof is 20.
% 2.44/2.75 % Maximum clause weight is 62.000.
% 2.44/2.75 % Given clauses 1307.
% 2.44/2.75
% 2.44/2.75 1 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 2.44/2.75 2 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_5) # label(negated_conjecture). [assumption].
% 2.44/2.75 3 c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 2.44/2.75 4 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) | c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X # label(cls_conjecture_10) # label(negated_conjecture). [assumption].
% 2.44/2.75 5 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 2.44/2.75 6 -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_6) # label(negated_conjecture). [assumption].
% 2.44/2.75 7 -c_in(A,B,tc_Message_Omsg) | c_in(A,c_Message_Osynth(B),tc_Message_Omsg) # label(cls_Message_Osynth_OInj_0) # label(axiom). [assumption].
% 2.44/2.75 8 -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) | c_in(A,c_Message_Oparts(B),tc_Message_Omsg) # label(cls_Message_Oanalz__into__parts__dest_0) # label(axiom). [assumption].
% 2.44/2.75 9 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg) | c_in(B,c_Message_Oanalz(C),tc_Message_Omsg) # label(cls_Message_OMPair__analz_0) # label(axiom). [assumption].
% 2.44/2.75 10 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg) | c_in(A,c_Message_Oanalz(C),tc_Message_Omsg) # label(cls_Message_OMPair__analz_1) # label(axiom). [assumption].
% 2.44/2.75 13 -c_in(A,c_union(B,C,D),D) | c_in(A,C,D) | c_in(A,B,D) # label(cls_Set_OUnE_0) # label(axiom). [assumption].
% 2.44/2.75 14 -c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent) | c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg) # label(cls_Event_OSays__imp__analz__Spy__dest_0) # label(axiom). [assumption].
% 2.44/2.75 15 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg) # label(cls_Message_OCrypt__synth_0) # label(axiom). [assumption].
% 2.44/2.75 16 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) # label(cls_OtwayRees_OSpy__see__shrK__D__dest_0) # label(axiom). [assumption].
% 2.44/2.75 17 -c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg) | -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg) | c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg) # label(cls_Message_OFake__parts__insert__in__Un__dest_0) # label(axiom). [assumption].
% 2.44/2.75 18 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OGets(B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Event_Oevent_OSays(v_sko__uwX(B,C,A),B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_OtwayRees_OGets__imp__Says__dest_0) # label(axiom). [assumption].
% 2.44/2.75 19 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OAgent(B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(c_Event_Oevent_OSays(B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(v_sko__vCt(E,B,C,D,A),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OAgent(B)))))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_OtwayRees_OCrypt__imp__OR2__dest_0) # label(axiom). [assumption].
% 2.44/2.75 20 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) # label(cls_conjecture_11) # label(negated_conjecture). [assumption].
% 2.44/2.75 21 -c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [copy(20),unit_del(a,6)].
% 2.44/2.75 27 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(16,a,1,a,c,5,a)].
% 2.44/2.75 28 -c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg). [resolve(17,a,2,a)].
% 2.44/2.75 29 c_in(c_Event_Oevent_OSays(v_sko__uwX(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),v_evs4),v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent). [resolve(18,b,3,a),unit_del(a,1)].
% 2.44/2.75 30 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) | c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X. [resolve(21,a,4,a)].
% 2.44/2.75 37 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(8,b,27,a)].
% 2.44/2.75 111 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(29,a,14,a)].
% 2.44/2.75 162 c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(111,a,9,a)].
% 2.44/2.75 293 c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(162,a,10,a)].
% 2.44/2.75 298 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg). [resolve(293,a,7,a)].
% 2.44/2.75 299 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg). [back_unit_del(28),unit_del(a,298)].
% 2.44/2.75 1408 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg). [resolve(299,a,13,a)].
% 2.44/2.75 5579 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(1408,b,15,a),unit_del(c,37)].
% 2.44/2.75 5581 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) | c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X. [resolve(5579,a,30,a)].
% 2.44/2.75 7120 c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(5581,a,8,a)].
% 2.44/2.75 7204 c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X. [resolve(7120,b,30,a),merge(b)].
% 2.44/2.75 7221 -c_in(v_X,c_Message_Oanalz(A),tc_Message_Omsg) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(A),tc_Message_Omsg). [para(7204(a,1),9(a,1))].
% 2.44/2.75 7389 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(7221,a,293,a)].
% 2.44/2.75 7405 c_in(c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(7389,a,9,a)].
% 2.44/2.75 7521 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(7405,a,9,a)].
% 2.44/2.75 7705 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(7521,a,8,a)].
% 2.44/2.75 7709 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_sko__vCt(v_A,v_B,v_NA,v_NB,v_evs4),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent). [resolve(7705,a,19,b),unit_del(a,1),unit_del(b,5)].
% 2.44/2.75 9200 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(7709,a,21,a)].
% 2.44/2.75 9211 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [back_unit_del(5579),unit_del(a,9200)].
% 2.44/2.75 9213 $F. [resolve(9211,a,8,a),unit_del(a,9200)].
% 2.44/2.75
% 2.44/2.75 % SZS output end Refutation
% 2.44/2.75 ============================== end of proof ==========================
% 2.44/2.75
% 2.44/2.75 ============================== STATISTICS ============================
% 2.44/2.75
% 2.44/2.75 Given=1307. Generated=122818. Kept=9211. proofs=1.
% 2.44/2.75 Usable=1252. Sos=6303. Demods=1. Limbo=0, Disabled=1676. Hints=0.
% 2.44/2.75 Megabytes=13.23.
% 2.44/2.75 User_CPU=1.65, System_CPU=0.07, Wall_clock=2.
% 2.44/2.75
% 2.44/2.75 ============================== end of statistics =====================
% 2.44/2.75
% 2.44/2.75 ============================== end of search =========================
% 2.44/2.75
% 2.44/2.75 THEOREM PROVED
% 2.44/2.75 % SZS status Unsatisfiable
% 2.44/2.75
% 2.44/2.75 Exiting with 1 proof.
% 2.44/2.75
% 2.44/2.75 Process 29599 exit (max_proofs) Wed Jun 15 03:53:57 2022
% 2.44/2.75 Prover9 interrupted
%------------------------------------------------------------------------------