TSTP Solution File: SWV337-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV337-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n014.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 21:12:03 EDT 2022

% Result   : Unsatisfiable 0.50s 1.05s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV337-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.15/0.36  % Computer : n014.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 05:51:05 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.50/1.05  ============================== Prover9 ===============================
% 0.50/1.05  Prover9 (32) version 2009-11A, November 2009.
% 0.50/1.05  Process 19555 was started by sandbox on n014.cluster.edu,
% 0.50/1.05  Thu Jun 16 05:51:06 2022
% 0.50/1.05  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19402_n014.cluster.edu".
% 0.50/1.05  ============================== end of head ===========================
% 0.50/1.05  
% 0.50/1.05  ============================== INPUT =================================
% 0.50/1.05  
% 0.50/1.05  % Reading from file /tmp/Prover9_19402_n014.cluster.edu
% 0.50/1.05  
% 0.50/1.05  set(prolog_style_variables).
% 0.50/1.05  set(auto2).
% 0.50/1.05      % set(auto2) -> set(auto).
% 0.50/1.05      % set(auto) -> set(auto_inference).
% 0.50/1.05      % set(auto) -> set(auto_setup).
% 0.50/1.05      % set(auto_setup) -> set(predicate_elim).
% 0.50/1.05      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.50/1.05      % set(auto) -> set(auto_limits).
% 0.50/1.05      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.50/1.05      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.50/1.05      % set(auto) -> set(auto_denials).
% 0.50/1.05      % set(auto) -> set(auto_process).
% 0.50/1.05      % set(auto2) -> assign(new_constants, 1).
% 0.50/1.05      % set(auto2) -> assign(fold_denial_max, 3).
% 0.50/1.05      % set(auto2) -> assign(max_weight, "200.000").
% 0.50/1.05      % set(auto2) -> assign(max_hours, 1).
% 0.50/1.05      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.50/1.05      % set(auto2) -> assign(max_seconds, 0).
% 0.50/1.05      % set(auto2) -> assign(max_minutes, 5).
% 0.50/1.05      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.50/1.05      % set(auto2) -> set(sort_initial_sos).
% 0.50/1.05      % set(auto2) -> assign(sos_limit, -1).
% 0.50/1.05      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.50/1.05      % set(auto2) -> assign(max_megs, 400).
% 0.50/1.05      % set(auto2) -> assign(stats, some).
% 0.50/1.05      % set(auto2) -> clear(echo_input).
% 0.50/1.05      % set(auto2) -> set(quiet).
% 0.50/1.05      % set(auto2) -> clear(print_initial_clauses).
% 0.50/1.05      % set(auto2) -> clear(print_given).
% 0.50/1.05  assign(lrs_ticks,-1).
% 0.50/1.05  assign(sos_limit,10000).
% 0.50/1.05  assign(order,kbo).
% 0.50/1.05  set(lex_order_vars).
% 0.50/1.05  clear(print_given).
% 0.50/1.05  
% 0.50/1.05  % formulas(sos).  % not echoed (10 formulas)
% 0.50/1.05  
% 0.50/1.05  ============================== end of input ==========================
% 0.50/1.05  
% 0.50/1.05  % From the command line: assign(max_seconds, 300).
% 0.50/1.05  
% 0.50/1.05  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.50/1.05  
% 0.50/1.05  % Formulas that are not ordinary clauses:
% 0.50/1.05  
% 0.50/1.05  ============================== end of process non-clausal formulas ===
% 0.50/1.05  
% 0.50/1.05  ============================== PROCESS INITIAL CLAUSES ===============
% 0.50/1.05  
% 0.50/1.05  ============================== PREDICATE ELIMINATION =================
% 0.50/1.05  
% 0.50/1.05  ============================== end predicate elimination =============
% 0.50/1.05  
% 0.50/1.05  Auto_denials:  (non-Horn, no changes).
% 0.50/1.05  
% 0.50/1.05  Term ordering decisions:
% 0.50/1.05  Function symbol KB weights:  tc_Message_Omsg=1. tc_Event_Oevent=1. c_Message_Oagent_OSpy=1. c_Yahalom_Oyahalom=1. c_Event_Obad=1. tc_Message_Oagent=1. v_A=1. v_evs4=1. c_Message_Oagent_OServer=1. v_B=1. v_K=1. v_NA=1. v_NB=1. v_X=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_Event_Oevent_OGets=1. c_Message_Oanalz=1. c_Public_OshrK=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_OKey=1. tc_List_Olist=1. c_Message_Omsg_ONonce=1. c_Message_Oparts=1. c_Event_Oevent_OSays=1.
% 0.50/1.05  
% 0.50/1.05  ============================== end of process initial clauses ========
% 0.50/1.05  
% 0.50/1.05  ============================== CLAUSES FOR SEARCH ====================
% 0.50/1.05  
% 0.50/1.05  ============================== end of clauses for search =============
% 0.50/1.05  
% 0.50/1.05  ============================== SEARCH ================================
% 0.50/1.05  
% 0.50/1.05  % Starting search at 0.01 seconds.
% 0.50/1.05  
% 0.50/1.05  ============================== PROOF =================================
% 0.50/1.05  % SZS status Unsatisfiable
% 0.50/1.05  % SZS output start Refutation
% 0.50/1.05  
% 0.50/1.05  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.50/1.05  % Length of proof is 20.
% 0.50/1.05  % Level of proof is 6.
% 0.50/1.05  % Maximum clause weight is 56.000.
% 0.50/1.05  % Given clauses 22.
% 0.50/1.05  
% 0.50/1.05  1 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 0.50/1.05  2 c_in(c_Event_Oevent_OGets(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_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].
% 0.50/1.05  3 -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) # label(cls_conjecture_6) # label(negated_conjecture).  [assumption].
% 0.50/1.05  4 -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_Message_Omsg_ONonce(C),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_8) # label(negated_conjecture).  [assumption].
% 0.50/1.05  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].
% 0.50/1.05  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].
% 0.50/1.05  7 -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].
% 0.50/1.05  8 -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].
% 0.50/1.05  9 -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].
% 0.50/1.05  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(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].
% 0.50/1.05  11 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [ur(6,b,3,a)].
% 0.50/1.05  13 c_in(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_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(8,b,2,a),unit_del(a,1)].
% 0.50/1.05  17 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [ur(6,b,11,a)].
% 0.50/1.05  21 c_in(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_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [resolve(13,a,7,a)].
% 0.50/1.05  25 -c_in(v_A,c_Event_Obad,tc_Message_Oagent) | c_in(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_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [resolve(21,a,9,b)].
% 0.50/1.05  26 c_in(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_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [resolve(21,a,5,a)].
% 0.50/1.05  32 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [ur(6,b,17,a)].
% 0.50/1.05  33 -c_in(v_A,c_Event_Obad,tc_Message_Oagent).  [back_unit_del(25),unit_del(b,32)].
% 0.50/1.05  34 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(B),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [ur(10,a,1,a,c,33,a,d,4,a)].
% 0.50/1.05  35 $F.  [resolve(34,a,26,a)].
% 0.50/1.05  
% 0.50/1.05  % SZS output end Refutation
% 0.50/1.05  ============================== end of proof ==========================
% 0.50/1.05  
% 0.50/1.05  ============================== STATISTICS ============================
% 0.50/1.05  
% 0.50/1.05  Given=22. Generated=34. Kept=34. proofs=1.
% 0.50/1.05  Usable=22. Sos=10. Demods=0. Limbo=0, Disabled=11. Hints=0.
% 0.50/1.05  Megabytes=0.10.
% 0.50/1.05  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.50/1.05  
% 0.50/1.05  ============================== end of statistics =====================
% 0.50/1.05  
% 0.50/1.05  ============================== end of search =========================
% 0.50/1.05  
% 0.50/1.05  THEOREM PROVED
% 0.50/1.05  % SZS status Unsatisfiable
% 0.50/1.05  
% 0.50/1.05  Exiting with 1 proof.
% 0.50/1.05  
% 0.50/1.05  Process 19555 exit (max_proofs) Thu Jun 16 05:51:06 2022
% 0.50/1.05  Prover9 interrupted
%------------------------------------------------------------------------------