TSTP Solution File: SWV319-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n007.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 21:11:51 EDT 2022

% Result   : Unsatisfiable 0.72s 0.99s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 19:43:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.72/0.99  ============================== Prover9 ===============================
% 0.72/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.72/0.99  Process 1361 was started by sandbox2 on n007.cluster.edu,
% 0.72/0.99  Tue Jun 14 19:43:40 2022
% 0.72/0.99  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1084_n007.cluster.edu".
% 0.72/0.99  ============================== end of head ===========================
% 0.72/0.99  
% 0.72/0.99  ============================== INPUT =================================
% 0.72/0.99  
% 0.72/0.99  % Reading from file /tmp/Prover9_1084_n007.cluster.edu
% 0.72/0.99  
% 0.72/0.99  set(prolog_style_variables).
% 0.72/0.99  set(auto2).
% 0.72/0.99      % set(auto2) -> set(auto).
% 0.72/0.99      % set(auto) -> set(auto_inference).
% 0.72/0.99      % set(auto) -> set(auto_setup).
% 0.72/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.72/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/0.99      % set(auto) -> set(auto_limits).
% 0.72/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/0.99      % set(auto) -> set(auto_denials).
% 0.72/0.99      % set(auto) -> set(auto_process).
% 0.72/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.72/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.72/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.72/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.72/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.72/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.72/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.72/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.72/0.99      % set(auto2) -> assign(stats, some).
% 0.72/0.99      % set(auto2) -> clear(echo_input).
% 0.72/0.99      % set(auto2) -> set(quiet).
% 0.72/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.72/0.99      % set(auto2) -> clear(print_given).
% 0.72/0.99  assign(lrs_ticks,-1).
% 0.72/0.99  assign(sos_limit,10000).
% 0.72/0.99  assign(order,kbo).
% 0.72/0.99  set(lex_order_vars).
% 0.72/0.99  clear(print_given).
% 0.72/0.99  
% 0.72/0.99  % formulas(sos).  % not echoed (9 formulas)
% 0.72/0.99  
% 0.72/0.99  ============================== end of input ==========================
% 0.72/0.99  
% 0.72/0.99  % From the command line: assign(max_seconds, 300).
% 0.72/0.99  
% 0.72/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/0.99  
% 0.72/0.99  % Formulas that are not ordinary clauses:
% 0.72/0.99  
% 0.72/0.99  ============================== end of process non-clausal formulas ===
% 0.72/0.99  
% 0.72/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/0.99  
% 0.72/0.99  ============================== PREDICATE ELIMINATION =================
% 0.72/0.99  
% 0.72/0.99  ============================== end predicate elimination =============
% 0.72/0.99  
% 0.72/0.99  Auto_denials:  (non-Horn, no changes).
% 0.72/0.99  
% 0.72/0.99  Term ordering decisions:
% 0.72/0.99  Function symbol KB weights:  tc_Message_Omsg=1. tc_Event_Oevent=1. v_A=1. c_Event_Obad=1. c_Message_Oagent_OSpy=1. tc_Message_Oagent=1. v_B=1. v_K=1. v_evso=1. c_Message_Oagent_OServer=1. v_NA=1. v_NB=1. v_X=1. c_Message_Omsg_OMPair=1. c_Event_Oknows=1. c_List_Oset=1. c_Message_Omsg_OCrypt=1. c_Message_Oparts=1. c_Message_Oanalz=1. c_Public_OshrK=1. c_Message_Omsg_OKey=1. c_Message_Omsg_ONonce=1. c_Event_Oevent_OSays=1.
% 0.72/0.99  
% 0.72/0.99  ============================== end of process initial clauses ========
% 0.72/0.99  
% 0.72/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.72/0.99  
% 0.72/0.99  ============================== end of clauses for search =============
% 0.72/0.99  
% 0.72/0.99  ============================== SEARCH ================================
% 0.72/0.99  
% 0.72/0.99  % Starting search at 0.01 seconds.
% 0.72/0.99  
% 0.72/0.99  ============================== PROOF =================================
% 0.72/0.99  % SZS status Unsatisfiable
% 0.72/0.99  % SZS output start Refutation
% 0.72/0.99  
% 0.72/0.99  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.72/0.99  % Length of proof is 18.
% 0.72/0.99  % Level of proof is 5.
% 0.72/0.99  % Maximum clause weight is 21.000.
% 0.72/0.99  % Given clauses 16.
% 0.72/0.99  
% 0.72/0.99  1 c_Public_OshrK(v_A) = v_K | c_in(v_A,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_6) # label(negated_conjecture).  [assumption].
% 0.72/0.99  2 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.72/0.99  3 -c_in(v_A,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.72/0.99  4 -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) | c_in(A,c_Message_Oparts(B),tc_Message_Omsg) # label(cls_Message_Oanalz__conj__parts_0) # label(axiom).  [assumption].
% 0.72/0.99  5 -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].
% 0.72/0.99  6 -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].
% 0.72/0.99  7 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg) | c_in(B,c_Message_Oparts(C),tc_Message_Omsg) # label(cls_Message_Oparts_OBody__dest_0) # label(axiom).  [assumption].
% 0.72/0.99  8 c_in(v_A,c_Event_Obad,tc_Message_Oagent) | -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) # label(cls_conjecture_3) # label(negated_conjecture).  [assumption].
% 0.72/0.99  9 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg).  [copy(8),unit_del(a,3)].
% 0.72/0.99  10 -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].
% 0.72/0.99  11 c_Public_OshrK(v_A) = v_K.  [back_unit_del(1),unit_del(b,3)].
% 0.72/0.99  12 -c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg).  [back_rewrite(9),rewrite([11(2)])].
% 0.72/0.99  13 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_evso)),tc_Message_Omsg).  [resolve(10,a,2,a)].
% 0.72/0.99  15 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg).  [ur(6,b,12,a)].
% 0.72/0.99  17 c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_evso)),tc_Message_Omsg).  [resolve(13,a,5,a)].
% 0.72/0.99  24 -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg).  [ur(7,b,15,a)].
% 0.72/0.99  26 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),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_evso)),tc_Message_Omsg).  [resolve(17,a,5,a)].
% 0.72/0.99  28 $F.  [resolve(26,a,4,a),unit_del(a,24)].
% 0.72/0.99  
% 0.72/0.99  % SZS output end Refutation
% 0.72/0.99  ============================== end of proof ==========================
% 0.72/0.99  
% 0.72/0.99  ============================== STATISTICS ============================
% 0.72/0.99  
% 0.72/0.99  Given=16. Generated=29. Kept=26. proofs=1.
% 0.72/0.99  Usable=16. Sos=8. Demods=1. Limbo=0, Disabled=11. Hints=0.
% 0.72/0.99  Megabytes=0.06.
% 0.72/0.99  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.72/0.99  
% 0.72/0.99  ============================== end of statistics =====================
% 0.72/0.99  
% 0.72/0.99  ============================== end of search =========================
% 0.72/0.99  
% 0.72/0.99  THEOREM PROVED
% 0.72/0.99  % SZS status Unsatisfiable
% 0.72/0.99  
% 0.72/0.99  Exiting with 1 proof.
% 0.72/0.99  
% 0.72/0.99  Process 1361 exit (max_proofs) Tue Jun 14 19:43:40 2022
% 0.72/0.99  Prover9 interrupted
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