TSTP Solution File: SWV292-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV292-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 21:11:35 EDT 2022
% Result : Unsatisfiable 0.76s 1.09s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV292-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n020.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 : Wed Jun 15 18:55:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.09 ============================== Prover9 ===============================
% 0.76/1.09 Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.09 Process 21510 was started by sandbox on n020.cluster.edu,
% 0.76/1.09 Wed Jun 15 18:55:50 2022
% 0.76/1.09 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_21357_n020.cluster.edu".
% 0.76/1.09 ============================== end of head ===========================
% 0.76/1.09
% 0.76/1.09 ============================== INPUT =================================
% 0.76/1.09
% 0.76/1.09 % Reading from file /tmp/Prover9_21357_n020.cluster.edu
% 0.76/1.09
% 0.76/1.09 set(prolog_style_variables).
% 0.76/1.09 set(auto2).
% 0.76/1.09 % set(auto2) -> set(auto).
% 0.76/1.09 % set(auto) -> set(auto_inference).
% 0.76/1.09 % set(auto) -> set(auto_setup).
% 0.76/1.09 % set(auto_setup) -> set(predicate_elim).
% 0.76/1.09 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.09 % set(auto) -> set(auto_limits).
% 0.76/1.09 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.09 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.09 % set(auto) -> set(auto_denials).
% 0.76/1.09 % set(auto) -> set(auto_process).
% 0.76/1.09 % set(auto2) -> assign(new_constants, 1).
% 0.76/1.09 % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.09 % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.09 % set(auto2) -> assign(max_hours, 1).
% 0.76/1.09 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.09 % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.09 % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.09 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.09 % set(auto2) -> set(sort_initial_sos).
% 0.76/1.09 % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.09 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.09 % set(auto2) -> assign(max_megs, 400).
% 0.76/1.09 % set(auto2) -> assign(stats, some).
% 0.76/1.09 % set(auto2) -> clear(echo_input).
% 0.76/1.09 % set(auto2) -> set(quiet).
% 0.76/1.09 % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.09 % set(auto2) -> clear(print_given).
% 0.76/1.09 assign(lrs_ticks,-1).
% 0.76/1.09 assign(sos_limit,10000).
% 0.76/1.09 assign(order,kbo).
% 0.76/1.09 set(lex_order_vars).
% 0.76/1.09 clear(print_given).
% 0.76/1.09
% 0.76/1.09 % formulas(sos). % not echoed (16 formulas)
% 0.76/1.09
% 0.76/1.09 ============================== end of input ==========================
% 0.76/1.09
% 0.76/1.09 % From the command line: assign(max_seconds, 300).
% 0.76/1.09
% 0.76/1.09 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.09
% 0.76/1.09 % Formulas that are not ordinary clauses:
% 0.76/1.09
% 0.76/1.09 ============================== end of process non-clausal formulas ===
% 0.76/1.09
% 0.76/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.09
% 0.76/1.09 ============================== PREDICATE ELIMINATION =================
% 0.76/1.09
% 0.76/1.09 ============================== end predicate elimination =============
% 0.76/1.09
% 0.76/1.09 Auto_denials: (non-Horn, no changes).
% 0.76/1.09
% 0.76/1.09 Term ordering decisions:
% 0.76/1.09 Function symbol KB weights: tc_Message_Omsg=1. tc_Event_Oevent=1. v_A=1. v_B=1. v_evs4=1. c_Message_Oagent_OSpy=1. v_NA=1. c_OtwayRees_Ootway=1. v_Ba=1. v_X=1. c_Event_Obad=1. tc_Message_Oagent=1. v_K=1. v_NAa=1. v_NB=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_Oanalz=1. c_Message_Omsg_OAgent=1. c_Message_Oparts=1. c_Message_Osynth=1. c_Public_OshrK=1. c_Message_Omsg_OKey=1. tc_List_Olist=1. c_Message_Omsg_ONonce=1. c_Event_Oevent_OSays=1. c_insert=1. c_union=1. v_sko__usf=1.
% 0.76/1.09
% 0.76/1.09 ============================== end of process initial clauses ========
% 0.76/1.09
% 0.76/1.09 ============================== CLAUSES FOR SEARCH ====================
% 0.76/1.09
% 0.76/1.09 ============================== end of clauses for search =============
% 0.76/1.09
% 0.76/1.09 ============================== SEARCH ================================
% 0.76/1.09
% 0.76/1.09 % Starting search at 0.01 seconds.
% 0.76/1.09
% 0.76/1.09 ============================== PROOF =================================
% 0.76/1.09 % SZS status Unsatisfiable
% 0.76/1.09 % SZS output start Refutation
% 0.76/1.09
% 0.76/1.09 % Proof 1 at 0.08 (+ 0.00) seconds.
% 0.76/1.09 % Length of proof is 29.
% 0.76/1.09 % Level of proof is 7.
% 0.76/1.09 % Maximum clause weight is 36.000.
% 0.76/1.09 % Given clauses 110.
% 0.76/1.09
% 0.76/1.09 1 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.76/1.09 2 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),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].
% 0.76/1.09 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_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 0.76/1.09 4 -c_in(v_A,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.76/1.09 5 -c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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) # label(cls_conjecture_6) # label(negated_conjecture). [assumption].
% 0.76/1.09 6 -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].
% 0.76/1.09 7 -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].
% 0.76/1.09 8 -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].
% 0.76/1.09 9 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg) | c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg) # label(cls_Message_OMPair__synth__analz__iff1_0) # label(axiom). [assumption].
% 0.76/1.09 10 -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].
% 0.76/1.09 11 -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].
% 0.76/1.09 12 -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].
% 0.76/1.09 13 -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].
% 0.76/1.09 14 -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].
% 0.76/1.09 15 -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__usf(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].
% 0.76/1.09 16 c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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_A),c_Message_Omsg_OMPair(v_NA,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) # label(cls_conjecture_7) # label(negated_conjecture). [assumption].
% 0.76/1.09 17 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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). [copy(16),unit_del(a,5)].
% 0.76/1.09 22 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(13,a,1,a,c,4,a)].
% 0.76/1.09 23 -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_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),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(14,a,2,a)].
% 0.76/1.09 24 c_in(c_Event_Oevent_OSays(v_sko__usf(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_NB),c_Message_Omsg_OKey(v_K))))),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_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent). [resolve(15,b,3,a),unit_del(a,1)].
% 0.76/1.09 26 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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). [ur(7,b,17,a)].
% 0.76/1.09 33 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(7,b,22,a)].
% 0.76/1.09 120 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_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(24,a,11,a)].
% 0.76/1.09 144 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_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(120,a,8,a)].
% 0.76/1.09 149 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_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(144,a,6,a)].
% 0.76/1.09 194 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg). [ur(12,b,26,a,c,33,a)].
% 0.76/1.09 211 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg). [resolve(149,a,9,a)].
% 0.76/1.09 213 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),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(23),unit_del(a,211)].
% 0.76/1.09 768 $F. [ur(10,b,17,a,c,194,a),unit_del(a,213)].
% 0.76/1.09
% 0.76/1.09 % SZS output end Refutation
% 0.76/1.09 ============================== end of proof ==========================
% 0.76/1.09
% 0.76/1.09 ============================== STATISTICS ============================
% 0.76/1.09
% 0.76/1.09 Given=110. Generated=892. Kept=766. proofs=1.
% 0.76/1.09 Usable=109. Sos=652. Demods=0. Limbo=4, Disabled=17. Hints=0.
% 0.76/1.09 Megabytes=1.20.
% 0.76/1.09 User_CPU=0.08, System_CPU=0.00, Wall_clock=0.
% 0.76/1.09
% 0.76/1.09 ============================== end of statistics =====================
% 0.76/1.09
% 0.76/1.09 ============================== end of search =========================
% 0.76/1.09
% 0.76/1.09 THEOREM PROVED
% 0.76/1.09 % SZS status Unsatisfiable
% 0.76/1.09
% 0.76/1.09 Exiting with 1 proof.
% 0.76/1.09
% 0.76/1.09 Process 21510 exit (max_proofs) Wed Jun 15 18:55:50 2022
% 0.76/1.09 Prover9 interrupted
%------------------------------------------------------------------------------