TSTP Solution File: SWV290-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV290-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n024.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 21:11:34 EDT 2022

% Result   : Unsatisfiable 0.42s 0.96s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWV290-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 15 18:51:48 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.42/0.96  ============================== Prover9 ===============================
% 0.42/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.96  Process 9123 was started by sandbox on n024.cluster.edu,
% 0.42/0.96  Wed Jun 15 18:51:48 2022
% 0.42/0.96  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8970_n024.cluster.edu".
% 0.42/0.96  ============================== end of head ===========================
% 0.42/0.96  
% 0.42/0.96  ============================== INPUT =================================
% 0.42/0.96  
% 0.42/0.96  % Reading from file /tmp/Prover9_8970_n024.cluster.edu
% 0.42/0.96  
% 0.42/0.96  set(prolog_style_variables).
% 0.42/0.96  set(auto2).
% 0.42/0.96      % set(auto2) -> set(auto).
% 0.42/0.96      % set(auto) -> set(auto_inference).
% 0.42/0.96      % set(auto) -> set(auto_setup).
% 0.42/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.42/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.96      % set(auto) -> set(auto_limits).
% 0.42/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.96      % set(auto) -> set(auto_denials).
% 0.42/0.96      % set(auto) -> set(auto_process).
% 0.42/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.42/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.42/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.42/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.42/0.96      % set(auto2) -> assign(stats, some).
% 0.42/0.96      % set(auto2) -> clear(echo_input).
% 0.42/0.96      % set(auto2) -> set(quiet).
% 0.42/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.96      % set(auto2) -> clear(print_given).
% 0.42/0.96  assign(lrs_ticks,-1).
% 0.42/0.96  assign(sos_limit,10000).
% 0.42/0.96  assign(order,kbo).
% 0.42/0.96  set(lex_order_vars).
% 0.42/0.96  clear(print_given).
% 0.42/0.96  
% 0.42/0.96  % formulas(sos).  % not echoed (10 formulas)
% 0.42/0.96  
% 0.42/0.96  ============================== end of input ==========================
% 0.42/0.96  
% 0.42/0.96  % From the command line: assign(max_seconds, 300).
% 0.42/0.96  
% 0.42/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.96  
% 0.42/0.96  % Formulas that are not ordinary clauses:
% 0.42/0.96  
% 0.42/0.96  ============================== end of process non-clausal formulas ===
% 0.42/0.96  
% 0.42/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.96  
% 0.42/0.96  ============================== PREDICATE ELIMINATION =================
% 0.42/0.96  
% 0.42/0.96  ============================== end predicate elimination =============
% 0.42/0.96  
% 0.42/0.96  Auto_denials:  (non-Horn, no changes).
% 0.42/0.96  
% 0.42/0.96  Term ordering decisions:
% 0.42/0.96  Function symbol KB weights:  tc_Event_Oevent=1. tc_Message_Omsg=1. v_B=1. c_Message_Oagent_OServer=1. c_OtwayRees_Ootway=1. v_NA=1. v_evs=1. c_Message_Oagent_OSpy=1. v_A=1. v_NB=1. c_Event_Obad=1. tc_Message_Oagent=1. v_K=1. v_X=1. v_X_H=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_Public_OshrK=1. c_Message_Oanalz=1. c_Message_Omsg_OKey=1. tc_List_Olist=1. c_Message_Oparts=1. c_Event_Oevent_OSays=1. v_sko__usf=1.
% 0.42/0.96  
% 0.42/0.96  ============================== end of process initial clauses ========
% 0.42/0.96  
% 0.42/0.96  ============================== CLAUSES FOR SEARCH ====================
% 0.42/0.96  
% 0.42/0.96  ============================== end of clauses for search =============
% 0.42/0.96  
% 0.42/0.96  ============================== SEARCH ================================
% 0.42/0.96  
% 0.42/0.96  % Starting search at 0.01 seconds.
% 0.42/0.96  
% 0.42/0.96  ============================== PROOF =================================
% 0.42/0.96  % SZS status Unsatisfiable
% 0.42/0.96  % SZS output start Refutation
% 0.42/0.96  
% 0.42/0.96  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.42/0.96  % Length of proof is 17.
% 0.42/0.96  % Level of proof is 5.
% 0.42/0.96  % Maximum clause weight is 77.000.
% 0.42/0.96  % Given clauses 21.
% 0.42/0.96  
% 0.42/0.96  1 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_3) # label(negated_conjecture).  [assumption].
% 0.42/0.96  2 c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.42/0.96  3 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 0.42/0.97  4 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.42/0.97  5 -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.42/0.97  6 -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].
% 0.42/0.97  7 -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].
% 0.42/0.97  8 -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].
% 0.42/0.97  9 -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].
% 0.42/0.97  10 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OSays(B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(E,c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OAgent(B)))))))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(V6))),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,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(C,c_Message_Omsg_OKey(V6))),c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(V6)))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_OtwayRees_ONB__Crypt__imp__Server__msg_0) # label(axiom).  [assumption].
% 0.42/0.97  12 c_in(c_Event_Oevent_OSays(v_sko__usf(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))))),v_evs),v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent).  [resolve(9,b,2,a),unit_del(a,1)].
% 0.42/0.97  14 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).  [ur(10,a,1,a,b,3,a,d,4,a,e,5,a)].
% 0.42/0.97  17 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).  [ur(6,b,14,a)].
% 0.42/0.97  19 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).  [ur(7,b,17,a)].
% 0.42/0.97  28 c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).  [resolve(12,a,8,a)].
% 0.42/0.97  30 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg).  [ur(7,b,19,a)].
% 0.42/0.97  31 $F.  [resolve(30,a,28,a)].
% 0.42/0.97  
% 0.42/0.97  % SZS output end Refutation
% 0.42/0.97  ============================== end of proof ==========================
% 0.42/0.97  
% 0.42/0.97  ============================== STATISTICS ============================
% 0.42/0.97  
% 0.42/0.97  Given=21. Generated=30. Kept=30. proofs=1.
% 0.42/0.97  Usable=21. Sos=7. Demods=0. Limbo=1, Disabled=10. Hints=0.
% 0.42/0.97  Megabytes=0.13.
% 0.42/0.97  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.42/0.97  
% 0.42/0.97  ============================== end of statistics =====================
% 0.42/0.97  
% 0.42/0.97  ============================== end of search =========================
% 0.42/0.97  
% 0.42/0.97  THEOREM PROVED
% 0.42/0.97  % SZS status Unsatisfiable
% 0.42/0.97  
% 0.42/0.97  Exiting with 1 proof.
% 0.42/0.97  
% 0.42/0.97  Process 9123 exit (max_proofs) Wed Jun 15 18:51:48 2022
% 0.42/0.97  Prover9 interrupted
%------------------------------------------------------------------------------