TSTP Solution File: SWV318-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV318-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n020.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 0.73s 1.08s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV318-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n020.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 : Wed Jun 15 05:15:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.73/1.08  ============================== Prover9 ===============================
% 0.73/1.08  Prover9 (32) version 2009-11A, November 2009.
% 0.73/1.08  Process 22139 was started by sandbox2 on n020.cluster.edu,
% 0.73/1.08  Wed Jun 15 05:15:05 2022
% 0.73/1.08  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_21985_n020.cluster.edu".
% 0.73/1.08  ============================== end of head ===========================
% 0.73/1.08  
% 0.73/1.08  ============================== INPUT =================================
% 0.73/1.08  
% 0.73/1.08  % Reading from file /tmp/Prover9_21985_n020.cluster.edu
% 0.73/1.08  
% 0.73/1.08  set(prolog_style_variables).
% 0.73/1.08  set(auto2).
% 0.73/1.08      % set(auto2) -> set(auto).
% 0.73/1.08      % set(auto) -> set(auto_inference).
% 0.73/1.08      % set(auto) -> set(auto_setup).
% 0.73/1.08      % set(auto_setup) -> set(predicate_elim).
% 0.73/1.08      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.73/1.08      % set(auto) -> set(auto_limits).
% 0.73/1.08      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.73/1.08      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.73/1.08      % set(auto) -> set(auto_denials).
% 0.73/1.08      % set(auto) -> set(auto_process).
% 0.73/1.08      % set(auto2) -> assign(new_constants, 1).
% 0.73/1.08      % set(auto2) -> assign(fold_denial_max, 3).
% 0.73/1.08      % set(auto2) -> assign(max_weight, "200.000").
% 0.73/1.08      % set(auto2) -> assign(max_hours, 1).
% 0.73/1.08      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.73/1.08      % set(auto2) -> assign(max_seconds, 0).
% 0.73/1.08      % set(auto2) -> assign(max_minutes, 5).
% 0.73/1.08      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.73/1.08      % set(auto2) -> set(sort_initial_sos).
% 0.73/1.08      % set(auto2) -> assign(sos_limit, -1).
% 0.73/1.08      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.73/1.08      % set(auto2) -> assign(max_megs, 400).
% 0.73/1.08      % set(auto2) -> assign(stats, some).
% 0.73/1.08      % set(auto2) -> clear(echo_input).
% 0.73/1.08      % set(auto2) -> set(quiet).
% 0.73/1.08      % set(auto2) -> clear(print_initial_clauses).
% 0.73/1.08      % set(auto2) -> clear(print_given).
% 0.73/1.08  assign(lrs_ticks,-1).
% 0.73/1.08  assign(sos_limit,10000).
% 0.73/1.08  assign(order,kbo).
% 0.73/1.08  set(lex_order_vars).
% 0.73/1.08  clear(print_given).
% 0.73/1.08  
% 0.73/1.08  % formulas(sos).  % not echoed (14 formulas)
% 0.73/1.08  
% 0.73/1.08  ============================== end of input ==========================
% 0.73/1.08  
% 0.73/1.08  % From the command line: assign(max_seconds, 300).
% 0.73/1.08  
% 0.73/1.08  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.73/1.08  
% 0.73/1.08  % Formulas that are not ordinary clauses:
% 0.73/1.08  
% 0.73/1.08  ============================== end of process non-clausal formulas ===
% 0.73/1.08  
% 0.73/1.08  ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.08  
% 0.73/1.08  ============================== PREDICATE ELIMINATION =================
% 0.73/1.08  
% 0.73/1.08  ============================== end predicate elimination =============
% 0.73/1.08  
% 0.73/1.08  Auto_denials:  (non-Horn, no changes).
% 0.73/1.08  
% 0.73/1.08  Term ordering decisions:
% 0.73/1.08  Function symbol KB weights:  tc_Message_Omsg=1. tc_Event_Oevent=1. c_Message_Oagent_OSpy=1. v_A=1. v_evs4=1. c_Event_Obad=1. tc_Message_Oagent=1. c_OtwayRees_Ootway=1. v_B=1. v_X=1. v_K=1. v_NA=1. v_NB=1. c_Message_Omsg_OMPair=1. c_Event_Oknows=1. c_List_Oset=1. c_Event_Oevent_OGets=1. c_Message_Omsg_OCrypt=1. c_Message_Oparts=1. c_Message_Omsg_OKey=1. c_Public_OshrK=1. c_Message_Oanalz=1. c_Message_Omsg_ONonce=1. tc_List_Olist=1. c_insert=1. c_Event_Oevent_OSays=1. v_sko__usf=1.
% 0.73/1.08  
% 0.73/1.08  ============================== end of process initial clauses ========
% 0.73/1.08  
% 0.73/1.08  ============================== CLAUSES FOR SEARCH ====================
% 0.73/1.08  
% 0.73/1.08  ============================== end of clauses for search =============
% 0.73/1.08  
% 0.73/1.08  ============================== SEARCH ================================
% 0.73/1.08  
% 0.73/1.08  % Starting search at 0.01 seconds.
% 0.73/1.08  
% 0.73/1.08  ============================== PROOF =================================
% 0.73/1.08  % SZS status Unsatisfiable
% 0.73/1.08  % SZS output start Refutation
% 0.73/1.08  
% 0.73/1.08  % Proof 1 at 0.08 (+ 0.00) seconds.
% 0.73/1.08  % Length of proof is 26.
% 0.73/1.08  % Level of proof is 11.
% 0.73/1.08  % Maximum clause weight is 36.000.
% 0.73/1.08  % Given clauses 100.
% 0.73/1.08  
% 0.73/1.08  1 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 0.73/1.08  2 c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A) # label(cls_Message_Oparts__analz_0) # label(axiom).  [assumption].
% 0.73/1.08  3 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) | c_in(v_A,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_7) # label(negated_conjecture).  [assumption].
% 0.73/1.08  4 c_in(c_Event_Oevent_OGets(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_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_3) # label(negated_conjecture).  [assumption].
% 0.73/1.08  5 -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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_6) # label(negated_conjecture).  [assumption].
% 0.73/1.08  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].
% 0.73/1.08  8 -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].
% 0.73/1.08  9 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg) | c_in(A,c_Message_Oparts(C),tc_Message_Omsg) # label(cls_Message_OMPair__parts_1) # label(axiom).  [assumption].
% 0.73/1.08  10 -c_in(A,c_Event_Obad,tc_Message_Oagent) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg) # label(cls_Public_OSpy__spies__bad__shrK_0) # label(axiom).  [assumption].
% 0.73/1.08  11 -c_in(A,c_Message_Oparts(B),tc_Message_Omsg) | c_Message_Oparts(c_insert(A,B,tc_Message_Omsg)) = c_Message_Oparts(B) # label(cls_Message_Oparts__cut__eq_0) # label(axiom).  [assumption].
% 0.73/1.08  12 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_evs4)),tc_Message_Omsg) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.73/1.08  13 -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].
% 0.73/1.08  14 -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].
% 0.73/1.08  21 c_in(c_Event_Oevent_OSays(v_sko__usf(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))))),v_evs4),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_evs4,tc_Event_Oevent),tc_Event_Oevent).  [resolve(14,b,4,a),unit_del(a,1)].
% 0.73/1.08  97 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_evs4)),tc_Message_Omsg).  [resolve(21,a,13,a)].
% 0.73/1.08  100 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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [resolve(97,a,6,a),rewrite([2(18)])].
% 0.73/1.08  110 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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [resolve(100,a,8,a)].
% 0.73/1.08  374 c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [resolve(110,a,9,a)].
% 0.73/1.08  385 c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)).  [resolve(374,a,11,a)].
% 0.73/1.08  468 -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_evs4)),tc_Message_Omsg).  [back_rewrite(5),rewrite([385(14)])].
% 0.73/1.08  469 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) | c_in(v_A,c_Event_Obad,tc_Message_Oagent).  [back_rewrite(3),rewrite([385(10)])].
% 0.73/1.08  621 c_in(v_A,c_Event_Obad,tc_Message_Oagent).  [resolve(469,a,12,b),merge(b)].
% 0.73/1.08  622 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg).  [back_unit_del(468),unit_del(a,621)].
% 0.73/1.08  623 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg).  [resolve(621,a,10,a)].
% 0.73/1.08  627 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg).  [resolve(623,a,6,a)].
% 0.73/1.08  628 $F.  [resolve(627,a,622,a)].
% 0.73/1.08  
% 0.73/1.08  % SZS output end Refutation
% 0.73/1.08  ============================== end of proof ==========================
% 0.73/1.08  
% 0.73/1.08  ============================== STATISTICS ============================
% 0.73/1.08  
% 0.73/1.08  Given=100. Generated=668. Kept=627. proofs=1.
% 0.73/1.08  Usable=80. Sos=372. Demods=271. Limbo=1, Disabled=187. Hints=0.
% 0.73/1.08  Megabytes=1.18.
% 0.73/1.08  User_CPU=0.08, System_CPU=0.00, Wall_clock=0.
% 0.73/1.08  
% 0.73/1.08  ============================== end of statistics =====================
% 0.73/1.08  
% 0.73/1.08  ============================== end of search =========================
% 0.73/1.08  
% 0.73/1.08  THEOREM PROVED
% 0.73/1.08  % SZS status Unsatisfiable
% 0.73/1.08  
% 0.73/1.08  Exiting with 1 proof.
% 0.73/1.08  
% 0.73/1.08  Process 22139 exit (max_proofs) Wed Jun 15 05:15:05 2022
% 0.73/1.08  Prover9 interrupted
%------------------------------------------------------------------------------