TSTP Solution File: SWV361-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV361-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n026.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 21:12:23 EDT 2022

% Result   : Unsatisfiable 0.75s 1.02s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV361-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n026.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 : Thu Jun 16 03:16:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.75/1.02  ============================== Prover9 ===============================
% 0.75/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.02  Process 2923 was started by sandbox2 on n026.cluster.edu,
% 0.75/1.02  Thu Jun 16 03:16:53 2022
% 0.75/1.02  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2769_n026.cluster.edu".
% 0.75/1.02  ============================== end of head ===========================
% 0.75/1.02  
% 0.75/1.02  ============================== INPUT =================================
% 0.75/1.02  
% 0.75/1.02  % Reading from file /tmp/Prover9_2769_n026.cluster.edu
% 0.75/1.02  
% 0.75/1.02  set(prolog_style_variables).
% 0.75/1.02  set(auto2).
% 0.75/1.02      % set(auto2) -> set(auto).
% 0.75/1.02      % set(auto) -> set(auto_inference).
% 0.75/1.02      % set(auto) -> set(auto_setup).
% 0.75/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.75/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.02      % set(auto) -> set(auto_limits).
% 0.75/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.02      % set(auto) -> set(auto_denials).
% 0.75/1.02      % set(auto) -> set(auto_process).
% 0.75/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.75/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.75/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.75/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.75/1.02      % set(auto2) -> assign(stats, some).
% 0.75/1.02      % set(auto2) -> clear(echo_input).
% 0.75/1.02      % set(auto2) -> set(quiet).
% 0.75/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.02      % set(auto2) -> clear(print_given).
% 0.75/1.02  assign(lrs_ticks,-1).
% 0.75/1.02  assign(sos_limit,10000).
% 0.75/1.02  assign(order,kbo).
% 0.75/1.02  set(lex_order_vars).
% 0.75/1.02  clear(print_given).
% 0.75/1.02  
% 0.75/1.02  % formulas(sos).  % not echoed (10 formulas)
% 0.75/1.02  
% 0.75/1.02  ============================== end of input ==========================
% 0.75/1.02  
% 0.75/1.02  % From the command line: assign(max_seconds, 300).
% 0.75/1.02  
% 0.75/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.02  
% 0.75/1.02  % Formulas that are not ordinary clauses:
% 0.75/1.02  
% 0.75/1.02  ============================== end of process non-clausal formulas ===
% 0.75/1.02  
% 0.75/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.02  
% 0.75/1.02  ============================== PREDICATE ELIMINATION =================
% 0.75/1.02  
% 0.75/1.02  ============================== end predicate elimination =============
% 0.75/1.02  
% 0.75/1.02  Auto_denials:
% 0.75/1.02    % copying label cls_conjecture_8 to answer in negative clause
% 0.75/1.02  
% 0.75/1.02  Term ordering decisions:
% 0.75/1.02  Function symbol KB weights:  tc_Event_Oevent=1. tc_Message_Omsg=1. c_Message_Oagent_OSpy=1. c_Yahalom_Oyahalom=1. v_B=1. v_evs3=1. c_Message_Oagent_OServer=1. v_Ba=1. v_NB=1. v_A=1. v_Aa=1. v_NA=1. v_NBa=1. c_Message_Omsg_OMPair=1. c_Event_Oknows=1. c_List_Oset=1. c_Message_Omsg_OCrypt=1. c_Event_Oevent_OGets=1. c_Message_Omsg_ONonce=1. c_Message_Oparts=1. c_Message_Omsg_OAgent=1. c_Public_OshrK=1. c_Message_Oanalz=1. tc_List_Olist=1. c_Event_Oevent_OSays=1.
% 0.75/1.02  
% 0.75/1.02  ============================== end of process initial clauses ========
% 0.75/1.02  
% 0.75/1.02  ============================== CLAUSES FOR SEARCH ====================
% 0.75/1.02  
% 0.75/1.02  ============================== end of clauses for search =============
% 0.75/1.02  
% 0.75/1.02  ============================== SEARCH ================================
% 0.75/1.02  
% 0.75/1.02  % Starting search at 0.01 seconds.
% 0.75/1.02  
% 0.75/1.02  ============================== PROOF =================================
% 0.75/1.02  % SZS status Unsatisfiable
% 0.75/1.02  % SZS output start Refutation
% 0.75/1.02  
% 0.75/1.02  % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_8.
% 0.75/1.02  % Length of proof is 18.
% 0.75/1.02  % Level of proof is 5.
% 0.75/1.02  % Maximum clause weight is 45.000.
% 0.75/1.02  % Given clauses 17.
% 0.75/1.02  
% 0.75/1.02  1 c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.75/1.02  2 c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A) # label(cls_Message_Oparts__analz_0) # label(axiom).  [assumption].
% 0.75/1.02  3 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_5) # label(negated_conjecture).  [assumption].
% 0.75/1.02  4 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_7) # label(negated_conjecture).  [assumption].
% 0.75/1.02  5 -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) # label(cls_conjecture_8) # label(negated_conjecture) # answer(cls_conjecture_8).  [assumption].
% 0.75/1.02  6 -c_in(A,B,tc_Message_Omsg) | c_in(A,c_Message_Oparts(B),tc_Message_Omsg) # label(cls_Message_Oparts_OInj_0) # label(axiom).  [assumption].
% 0.75/1.02  7 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg) | c_in(B,c_Message_Oparts(C),tc_Message_Omsg) # label(cls_Message_OMPair__parts_0) # label(axiom).  [assumption].
% 0.75/1.02  8 -c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent) | c_in(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg) # label(cls_Event_OSays__imp__spies_0) # label(axiom).  [assumption].
% 0.75/1.02  9 -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].
% 0.75/1.02  10 -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(D,c_Message_Omsg_ONonce(E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(F),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),V7))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(c_Message_Omsg_ONonce(E),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) # label(cls_Yahalom_Ono__nonce__YM1__YM2_0) # label(axiom).  [assumption].
% 0.75/1.02  11 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg).  [hyper(8,a,4,a)].
% 0.75/1.02  12 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(9,a,1,a,b,3,a)].
% 0.75/1.02  14 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),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_evs3)),tc_Message_Omsg).  [hyper(6,a,11,a)].
% 0.75/1.02  15 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(6,a,12,a),rewrite([2(19)])].
% 0.75/1.02  16 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),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_evs3)),tc_Message_Omsg).  [hyper(7,a,14,a)].
% 0.75/1.02  19 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),C))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) # answer(cls_conjecture_8).  [ur(10,a,1,a,b,16,a,d,5,a)].
% 0.75/1.02  21 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [hyper(7,a,15,a)].
% 0.75/1.02  22 $F # answer(cls_conjecture_8).  [resolve(21,a,19,a)].
% 0.75/1.02  
% 0.75/1.02  % SZS output end Refutation
% 0.75/1.02  ============================== end of proof ==========================
% 0.75/1.02  
% 0.75/1.02  ============================== STATISTICS ============================
% 0.75/1.02  
% 0.75/1.02  Given=17. Generated=25. Kept=21. proofs=1.
% 0.75/1.02  Usable=17. Sos=3. Demods=1. Limbo=0, Disabled=10. Hints=0.
% 0.75/1.02  Megabytes=0.08.
% 0.75/1.02  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.75/1.02  
% 0.75/1.02  ============================== end of statistics =====================
% 0.75/1.02  
% 0.75/1.02  ============================== end of search =========================
% 0.75/1.02  
% 0.75/1.02  THEOREM PROVED
% 0.75/1.02  % SZS status Unsatisfiable
% 0.75/1.02  
% 0.75/1.02  Exiting with 1 proof.
% 0.75/1.02  
% 0.75/1.02  Process 2923 exit (max_proofs) Thu Jun 16 03:16:53 2022
% 0.75/1.02  Prover9 interrupted
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