TSTP Solution File: SWV299-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV299-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n008.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 21:11:38 EDT 2022

% Result   : Unsatisfiable 0.82s 1.08s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV299-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 04:09:07 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.82/1.08  ============================== Prover9 ===============================
% 0.82/1.08  Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.08  Process 24157 was started by sandbox on n008.cluster.edu,
% 0.82/1.08  Thu Jun 16 04:09:08 2022
% 0.82/1.08  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_24002_n008.cluster.edu".
% 0.82/1.08  ============================== end of head ===========================
% 0.82/1.08  
% 0.82/1.08  ============================== INPUT =================================
% 0.82/1.08  
% 0.82/1.08  % Reading from file /tmp/Prover9_24002_n008.cluster.edu
% 0.82/1.08  
% 0.82/1.08  set(prolog_style_variables).
% 0.82/1.08  set(auto2).
% 0.82/1.08      % set(auto2) -> set(auto).
% 0.82/1.08      % set(auto) -> set(auto_inference).
% 0.82/1.08      % set(auto) -> set(auto_setup).
% 0.82/1.08      % set(auto_setup) -> set(predicate_elim).
% 0.82/1.08      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.08      % set(auto) -> set(auto_limits).
% 0.82/1.08      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.08      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.08      % set(auto) -> set(auto_denials).
% 0.82/1.08      % set(auto) -> set(auto_process).
% 0.82/1.08      % set(auto2) -> assign(new_constants, 1).
% 0.82/1.08      % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.08      % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.08      % set(auto2) -> assign(max_hours, 1).
% 0.82/1.08      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.08      % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.08      % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.08      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.08      % set(auto2) -> set(sort_initial_sos).
% 0.82/1.08      % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.08      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.08      % set(auto2) -> assign(max_megs, 400).
% 0.82/1.08      % set(auto2) -> assign(stats, some).
% 0.82/1.08      % set(auto2) -> clear(echo_input).
% 0.82/1.08      % set(auto2) -> set(quiet).
% 0.82/1.08      % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.08      % set(auto2) -> clear(print_given).
% 0.82/1.08  assign(lrs_ticks,-1).
% 0.82/1.08  assign(sos_limit,10000).
% 0.82/1.08  assign(order,kbo).
% 0.82/1.08  set(lex_order_vars).
% 0.82/1.08  clear(print_given).
% 0.82/1.08  
% 0.82/1.08  % formulas(sos).  % not echoed (8 formulas)
% 0.82/1.08  
% 0.82/1.08  ============================== end of input ==========================
% 0.82/1.08  
% 0.82/1.08  % From the command line: assign(max_seconds, 300).
% 0.82/1.08  
% 0.82/1.08  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.08  
% 0.82/1.08  % Formulas that are not ordinary clauses:
% 0.82/1.08  
% 0.82/1.08  ============================== end of process non-clausal formulas ===
% 0.82/1.08  
% 0.82/1.08  ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.08  
% 0.82/1.08  ============================== PREDICATE ELIMINATION =================
% 0.82/1.08  
% 0.82/1.08  ============================== end predicate elimination =============
% 0.82/1.08  
% 0.82/1.08  Auto_denials:
% 0.82/1.08    % copying label cls_conjecture_0 to answer in negative clause
% 0.82/1.08  
% 0.82/1.08  Term ordering decisions:
% 0.82/1.08  Function symbol KB weights:  tc_Event_Oevent=1. v_A=1. tc_Message_Omsg=1. v_Aa=1. c_Message_Oagent_OSpy=1. v_B=1. v_NA=1. v_NB=1. v_evs3=1. c_OtwayRees_Ootway=1. c_Event_Obad=1. c_Message_Oagent_OServer=1. tc_Message_Oagent=1. v_Aaa=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_ONonce=1. c_Public_OshrK=1. c_Message_Oanalz=1. c_Message_Oparts=1. tc_List_Olist=1. c_Event_Oevent_OSays=1.
% 0.82/1.08  
% 0.82/1.08  ============================== end of process initial clauses ========
% 0.82/1.08  
% 0.82/1.08  ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.08  
% 0.82/1.08  ============================== end of clauses for search =============
% 0.82/1.08  
% 0.82/1.08  ============================== SEARCH ================================
% 0.82/1.08  
% 0.82/1.08  % Starting search at 0.01 seconds.
% 0.82/1.08  
% 0.82/1.08  ============================== PROOF =================================
% 0.82/1.08  % SZS status Unsatisfiable
% 0.82/1.08  % SZS output start Refutation
% 0.82/1.08  
% 0.82/1.08  % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_0.
% 0.82/1.08  % Length of proof is 21.
% 0.82/1.08  % Level of proof is 8.
% 0.82/1.08  % Maximum clause weight is 43.000.
% 0.82/1.08  % Given clauses 23.
% 0.82/1.08  
% 0.82/1.08  1 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.82/1.08  2 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_3) # label(negated_conjecture).  [assumption].
% 0.82/1.08  3 c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.82/1.08  4 -c_in(v_A,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_0) # label(negated_conjecture) # answer(cls_conjecture_0).  [assumption].
% 0.82/1.08  5 -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].
% 0.82/1.08  6 -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].
% 0.82/1.08  7 -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].
% 0.82/1.08  8 -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(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(F)))),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_Ono__nonce__OR1__OR2__dest_0) # label(axiom).  [assumption].
% 0.82/1.08  9 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(7,a,3,a)].
% 0.82/1.08  10 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg).  [hyper(7,a,2,a)].
% 0.82/1.08  11 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(6,a,9,a)].
% 0.82/1.08  13 c_in(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(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg).  [hyper(6,a,10,a)].
% 0.82/1.08  15 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg).  [hyper(6,a,13,a)].
% 0.82/1.08  17 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg).  [hyper(6,a,15,a)].
% 0.82/1.08  19 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg).  [hyper(5,a,17,a)].
% 0.82/1.08  20 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(6,a,11,a)].
% 0.82/1.08  22 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(6,a,20,a)].
% 0.82/1.08  24 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(6,a,22,a)].
% 0.82/1.08  26 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(5,a,24,a)].
% 0.82/1.08  27 c_in(v_A,c_Event_Obad,tc_Message_Oagent).  [hyper(8,a,1,a,b,26,a,c,19,a)].
% 0.82/1.08  28 $F # answer(cls_conjecture_0).  [resolve(27,a,4,a)].
% 0.82/1.08  
% 0.82/1.08  % SZS output end Refutation
% 0.82/1.08  ============================== end of proof ==========================
% 0.82/1.08  
% 0.82/1.08  ============================== STATISTICS ============================
% 0.82/1.08  
% 0.82/1.08  Given=23. Generated=27. Kept=27. proofs=1.
% 0.82/1.08  Usable=23. Sos=3. Demods=0. Limbo=0, Disabled=8. Hints=0.
% 0.82/1.08  Megabytes=0.12.
% 0.82/1.08  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.82/1.08  
% 0.82/1.08  ============================== end of statistics =====================
% 0.82/1.08  
% 0.82/1.08  ============================== end of search =========================
% 0.82/1.08  
% 0.82/1.08  THEOREM PROVED
% 0.82/1.08  % SZS status Unsatisfiable
% 0.82/1.08  
% 0.82/1.08  Exiting with 1 proof.
% 0.82/1.08  
% 0.82/1.08  Process 24157 exit (max_proofs) Thu Jun 16 04:09:08 2022
% 0.82/1.08  Prover9 interrupted
%------------------------------------------------------------------------------