TSTP Solution File: SWV311-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV311-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n019.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 21:11:46 EDT 2022

% Result   : Unsatisfiable 0.45s 1.00s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV311-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n019.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 21:56:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/1.00  ============================== Prover9 ===============================
% 0.45/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.00  Process 9621 was started by sandbox on n019.cluster.edu,
% 0.45/1.00  Tue Jun 14 21:56:10 2022
% 0.45/1.00  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9468_n019.cluster.edu".
% 0.45/1.00  ============================== end of head ===========================
% 0.45/1.00  
% 0.45/1.00  ============================== INPUT =================================
% 0.45/1.00  
% 0.45/1.00  % Reading from file /tmp/Prover9_9468_n019.cluster.edu
% 0.45/1.00  
% 0.45/1.00  set(prolog_style_variables).
% 0.45/1.00  set(auto2).
% 0.45/1.00      % set(auto2) -> set(auto).
% 0.45/1.00      % set(auto) -> set(auto_inference).
% 0.45/1.00      % set(auto) -> set(auto_setup).
% 0.45/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.45/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.00      % set(auto) -> set(auto_limits).
% 0.45/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.00      % set(auto) -> set(auto_denials).
% 0.45/1.00      % set(auto) -> set(auto_process).
% 0.45/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.45/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.45/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.45/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.45/1.00      % set(auto2) -> assign(stats, some).
% 0.45/1.00      % set(auto2) -> clear(echo_input).
% 0.45/1.00      % set(auto2) -> set(quiet).
% 0.45/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.00      % set(auto2) -> clear(print_given).
% 0.45/1.00  assign(lrs_ticks,-1).
% 0.45/1.00  assign(sos_limit,10000).
% 0.45/1.00  assign(order,kbo).
% 0.45/1.00  set(lex_order_vars).
% 0.45/1.00  clear(print_given).
% 0.45/1.00  
% 0.45/1.00  % formulas(sos).  % not echoed (12 formulas)
% 0.45/1.00  
% 0.45/1.00  ============================== end of input ==========================
% 0.45/1.00  
% 0.45/1.00  % From the command line: assign(max_seconds, 300).
% 0.45/1.00  
% 0.45/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.00  
% 0.45/1.00  % Formulas that are not ordinary clauses:
% 0.45/1.00  
% 0.45/1.00  ============================== end of process non-clausal formulas ===
% 0.45/1.00  
% 0.45/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.00  
% 0.45/1.00  ============================== PREDICATE ELIMINATION =================
% 0.45/1.00  
% 0.45/1.00  ============================== end predicate elimination =============
% 0.45/1.00  
% 0.45/1.00  Auto_denials:  (non-Horn, no changes).
% 0.45/1.00  
% 0.45/1.00  Term ordering decisions:
% 0.45/1.00  Function symbol KB weights:  tc_Event_Oevent=1. tc_Message_Omsg=1. v_Ba=1. v_Aa=1. v_NAa=1. c_OtwayRees_Ootway=1. c_Message_Oagent_OServer=1. c_Message_Oagent_OSpy=1. v_NBa=1. v_evs3=1. c_Event_Obad=1. tc_Message_Oagent=1. v_B=1. v_NA=1. v_NB=1. c_Message_Omsg_OMPair=1. c_List_Oset=1. c_Message_Omsg_OCrypt=1. c_Event_Oevent_OGets=1. c_Event_Oknows=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_ONonce=1. c_Message_Oanalz=1. c_Public_OshrK=1. tc_List_Olist=1. c_Message_Oparts=1. c_Event_Oevent_OSays=1. v_sko__usf=1. v_sko__u__1=1.
% 0.45/1.00  
% 0.45/1.00  ============================== end of process initial clauses ========
% 0.45/1.00  
% 0.45/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.45/1.00  
% 0.45/1.00  ============================== end of clauses for search =============
% 0.45/1.00  
% 0.45/1.00  ============================== SEARCH ================================
% 0.45/1.00  
% 0.45/1.00  % Starting search at 0.01 seconds.
% 0.45/1.00  
% 0.45/1.00  ============================== PROOF =================================
% 0.45/1.00  % SZS status Unsatisfiable
% 0.45/1.00  % SZS output start Refutation
% 0.45/1.00  
% 0.45/1.00  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.45/1.00  % Length of proof is 25.
% 0.45/1.00  % Level of proof is 7.
% 0.45/1.00  % Maximum clause weight is 72.000.
% 0.45/1.00  % Given clauses 20.
% 0.45/1.00  
% 0.45/1.00  1 v_B = v_Ba # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.45/1.00  2 v_NB = c_Message_Omsg_ONonce(v_NBa) # label(cls_conjecture_10) # label(negated_conjecture).  [assumption].
% 0.45/1.00  3 c_Message_Omsg_ONonce(v_NBa) = v_NB.  [copy(2),flip(a)].
% 0.45/1.00  4 v_NA = c_Message_Omsg_ONonce(v_NAa) # label(cls_conjecture_5) # label(negated_conjecture).  [assumption].
% 0.45/1.00  5 c_Message_Omsg_ONonce(v_NAa) = v_NA.  [copy(4),flip(a)].
% 0.45/1.00  6 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.45/1.00  7 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_3) # label(negated_conjecture).  [assumption].
% 0.45/1.00  8 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).  [copy(7),rewrite([5(3),5(10),5(20),3(21)])].
% 0.45/1.00  9 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 0.45/1.00  10 -c_in(v_Ba,c_Event_Obad,tc_Message_Oagent).  [copy(9),rewrite([1(1)])].
% 0.45/1.00  11 -c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_12) # label(negated_conjecture).  [assumption].
% 0.45/1.00  12 -c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).  [copy(11),rewrite([5(4),5(11),3(12)])].
% 0.45/1.00  13 -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].
% 0.45/1.00  14 -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].
% 0.45/1.00  15 -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].
% 0.45/1.00  16 -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].
% 0.45/1.00  17 -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__u__1(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].
% 0.45/1.00  18 c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).  [resolve(16,b,8,a),unit_del(a,6)].
% 0.45/1.00  19 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [ur(17,a,6,a,c,10,a,d,12,a)].
% 0.45/1.00  20 c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(18,a,15,a)].
% 0.45/1.00  21 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [ur(13,b,19,a)].
% 0.45/1.00  23 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [ur(14,b,21,a)].
% 0.45/1.00  25 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(20,a,14,a)].
% 0.45/1.00  27 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(25,a,14,a)].
% 0.45/1.00  29 $F.  [resolve(27,a,14,a),unit_del(a,23)].
% 0.45/1.00  
% 0.45/1.00  % SZS output end Refutation
% 0.45/1.00  ============================== end of proof ==========================
% 0.45/1.00  
% 0.45/1.00  ============================== STATISTICS ============================
% 0.45/1.00  
% 0.45/1.00  Given=20. Generated=27. Kept=23. proofs=1.
% 0.45/1.00  Usable=20. Sos=3. Demods=3. Limbo=0, Disabled=12. Hints=0.
% 0.45/1.00  Megabytes=0.14.
% 0.45/1.00  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.45/1.00  
% 0.45/1.00  ============================== end of statistics =====================
% 0.45/1.00  
% 0.45/1.00  ============================== end of search =========================
% 0.45/1.00  
% 0.45/1.00  THEOREM PROVED
% 0.45/1.00  % SZS status Unsatisfiable
% 0.45/1.00  
% 0.45/1.00  Exiting with 1 proof.
% 0.45/1.00  
% 0.45/1.00  Process 9621 exit (max_proofs) Tue Jun 14 21:56:10 2022
% 0.45/1.00  Prover9 interrupted
%------------------------------------------------------------------------------