TSTP Solution File: SWV332-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 21:12:00 EDT 2022
% Result : Unsatisfiable 0.51s 1.14s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV332-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jun 16 05:30:41 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.51/1.14 ============================== Prover9 ===============================
% 0.51/1.14 Prover9 (32) version 2009-11A, November 2009.
% 0.51/1.14 Process 24337 was started by sandbox2 on n025.cluster.edu,
% 0.51/1.14 Thu Jun 16 05:30:42 2022
% 0.51/1.14 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24184_n025.cluster.edu".
% 0.51/1.14 ============================== end of head ===========================
% 0.51/1.14
% 0.51/1.14 ============================== INPUT =================================
% 0.51/1.14
% 0.51/1.14 % Reading from file /tmp/Prover9_24184_n025.cluster.edu
% 0.51/1.14
% 0.51/1.14 set(prolog_style_variables).
% 0.51/1.14 set(auto2).
% 0.51/1.14 % set(auto2) -> set(auto).
% 0.51/1.14 % set(auto) -> set(auto_inference).
% 0.51/1.14 % set(auto) -> set(auto_setup).
% 0.51/1.14 % set(auto_setup) -> set(predicate_elim).
% 0.51/1.14 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.51/1.14 % set(auto) -> set(auto_limits).
% 0.51/1.14 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.51/1.14 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.51/1.14 % set(auto) -> set(auto_denials).
% 0.51/1.14 % set(auto) -> set(auto_process).
% 0.51/1.14 % set(auto2) -> assign(new_constants, 1).
% 0.51/1.14 % set(auto2) -> assign(fold_denial_max, 3).
% 0.51/1.14 % set(auto2) -> assign(max_weight, "200.000").
% 0.51/1.14 % set(auto2) -> assign(max_hours, 1).
% 0.51/1.14 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.51/1.14 % set(auto2) -> assign(max_seconds, 0).
% 0.51/1.14 % set(auto2) -> assign(max_minutes, 5).
% 0.51/1.14 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.51/1.14 % set(auto2) -> set(sort_initial_sos).
% 0.51/1.14 % set(auto2) -> assign(sos_limit, -1).
% 0.51/1.14 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.51/1.14 % set(auto2) -> assign(max_megs, 400).
% 0.51/1.14 % set(auto2) -> assign(stats, some).
% 0.51/1.14 % set(auto2) -> clear(echo_input).
% 0.51/1.14 % set(auto2) -> set(quiet).
% 0.51/1.14 % set(auto2) -> clear(print_initial_clauses).
% 0.51/1.14 % set(auto2) -> clear(print_given).
% 0.51/1.14 assign(lrs_ticks,-1).
% 0.51/1.14 assign(sos_limit,10000).
% 0.51/1.14 assign(order,kbo).
% 0.51/1.14 set(lex_order_vars).
% 0.51/1.14 clear(print_given).
% 0.51/1.14
% 0.51/1.14 % formulas(sos). % not echoed (15 formulas)
% 0.51/1.14
% 0.51/1.14 ============================== end of input ==========================
% 0.51/1.14
% 0.51/1.14 % From the command line: assign(max_seconds, 300).
% 0.51/1.14
% 0.51/1.14 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.51/1.14
% 0.51/1.14 % Formulas that are not ordinary clauses:
% 0.51/1.14
% 0.51/1.14 ============================== end of process non-clausal formulas ===
% 0.51/1.14
% 0.51/1.14 ============================== PROCESS INITIAL CLAUSES ===============
% 0.51/1.14
% 0.51/1.14 ============================== PREDICATE ELIMINATION =================
% 0.51/1.14
% 0.51/1.14 ============================== end predicate elimination =============
% 0.51/1.14
% 0.51/1.14 Auto_denials: (non-Horn, no changes).
% 0.51/1.14
% 0.51/1.14 Term ordering decisions:
% 0.51/1.14 Function symbol KB weights: tc_Event_Oevent=1. tc_Message_Omsg=1. c_Message_Oagent_OServer=1. c_Message_Oagent_OSpy=1. c_Yahalom_Oyahalom=1. c_Event_Obad=1. tc_Message_Oagent=1. v_evs4=1. v_Aa=1. v_K=1. v_A=1. v_B=1. v_Ba=1. v_NA=1. v_NB=1. v_X=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_Public_OshrK=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_OKey=1. c_Message_Oanalz=1. tc_List_Olist=1. c_Message_Omsg_ONonce=1. c_Message_Oparts=1. c_Event_Oevent_OSays=1. v_sko__2ji=1. v_sko__2jj=1.
% 0.51/1.14
% 0.51/1.14 ============================== end of process initial clauses ========
% 0.51/1.14
% 0.51/1.14 ============================== CLAUSES FOR SEARCH ====================
% 0.51/1.14
% 0.51/1.14 ============================== end of clauses for search =============
% 0.51/1.14
% 0.51/1.14 ============================== SEARCH ================================
% 0.51/1.14
% 0.51/1.14 % Starting search at 0.01 seconds.
% 0.51/1.14
% 0.51/1.14 ============================== PROOF =================================
% 0.51/1.14 % SZS status Unsatisfiable
% 0.51/1.14 % SZS output start Refutation
% 0.51/1.14
% 0.51/1.14 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.51/1.14 % Length of proof is 29.
% 0.51/1.14 % Level of proof is 6.
% 0.51/1.14 % Maximum clause weight is 62.000.
% 0.51/1.14 % Given clauses 39.
% 0.51/1.14
% 0.51/1.14 1 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.51/1.14 2 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) # label(cls_conjecture_8) # label(negated_conjecture). [assumption].
% 0.51/1.14 3 c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.51/1.14 4 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_9) # label(negated_conjecture). [assumption].
% 0.51/1.14 5 -c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) # label(cls_conjecture_6) # label(negated_conjecture). [assumption].
% 0.51/1.14 6 A != v_X | v_B != v_Ba | v_A != v_Aa # label(cls_conjecture_11) # label(negated_conjecture). [assumption].
% 0.51/1.14 7 v_Ba != v_B | v_A != v_Aa. [copy(6),flip(a),flip(b),xx(a)].
% 0.51/1.14 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__conj__parts_0) # label(axiom). [assumption].
% 0.51/1.14 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].
% 0.51/1.14 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].
% 0.51/1.14 11 -c_in(A,c_Yahalom_Oyahalom,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,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) # label(cls_Yahalom_OGets__imp__analz__Spy__dest_0) # label(axiom). [assumption].
% 0.51/1.14 12 -c_in(A,c_Event_Obad,tc_Message_Oagent) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg) | c_in(B,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,C)),tc_Message_Omsg) # label(cls_Public_OCrypt__Spy__analz__bad_0) # label(axiom). [assumption].
% 0.51/1.14 13 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),V6)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(V9,V10)))),V11)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | V7 = B # label(cls_Yahalom_Ounique__session__keys_0) # label(axiom). [assumption].
% 0.51/1.14 14 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),V6)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(V9,V10)))),V11)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | V8 = C # label(cls_Yahalom_Ounique__session__keys_1) # label(axiom). [assumption].
% 0.51/1.14 15 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),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(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_Yahalom_OA__trusts__YM3_0) # label(axiom). [assumption].
% 0.51/1.14 16 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OKey(D))),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(c_Message_Oagent_OServer,C,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(C,B,D,A)),c_Message_Omsg_ONonce(v_sko__2jj(C,B,D,A)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_Yahalom_OB__trusts__YM4__shrK_0) # label(axiom). [assumption].
% 0.51/1.14 18 -c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(10,b,5,a)].
% 0.51/1.14 19 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(11,b,3,a),unit_del(a,1)].
% 0.51/1.14 21 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent). [resolve(16,b,2,a),unit_del(a,1),unit_del(b,4)].
% 0.51/1.14 27 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(9,b,18,a)].
% 0.51/1.14 28 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(19,a,10,a)].
% 0.51/1.14 32 -c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [resolve(28,a,12,b),unit_del(b,27)].
% 0.51/1.14 33 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(28,a,8,a)].
% 0.51/1.14 34 -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(C,D)))),E)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) | v_B = B. [resolve(21,a,14,c),unit_del(a,1)].
% 0.51/1.14 35 -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(C,D)))),E)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) | v_A = A. [resolve(21,a,13,c),unit_del(a,1)].
% 0.51/1.14 45 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent). [resolve(33,a,15,b),unit_del(a,1),unit_del(b,32)].
% 0.51/1.14 49 v_A = v_Aa. [resolve(45,a,35,a)].
% 0.51/1.14 50 v_Ba = v_B. [resolve(45,a,34,a),flip(a)].
% 0.51/1.14 53 $F. [back_rewrite(7),rewrite([50(1),49(4)]),xx(a),xx(b)].
% 0.51/1.14
% 0.51/1.14 % SZS output end Refutation
% 0.51/1.14 ============================== end of proof ==========================
% 0.51/1.14
% 0.51/1.14 ============================== STATISTICS ============================
% 0.51/1.14
% 0.51/1.14 Given=39. Generated=63. Kept=51. proofs=1.
% 0.51/1.14 Usable=36. Sos=8. Demods=2. Limbo=4, Disabled=18. Hints=0.
% 0.51/1.14 Megabytes=0.16.
% 0.51/1.14 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.51/1.14
% 0.51/1.14 ============================== end of statistics =====================
% 0.51/1.14
% 0.51/1.14 ============================== end of search =========================
% 0.51/1.14
% 0.51/1.14 THEOREM PROVED
% 0.51/1.14 % SZS status Unsatisfiable
% 0.51/1.14
% 0.51/1.14 Exiting with 1 proof.
% 0.51/1.14
% 0.51/1.14 Process 24337 exit (max_proofs) Thu Jun 16 05:30:42 2022
% 0.51/1.14 Prover9 interrupted
%------------------------------------------------------------------------------