TSTP Solution File: SWV325-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV325-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n005.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 21:11:55 EDT 2022

% Result   : Unsatisfiable 0.74s 1.00s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV325-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 21:59:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.74/1.00  ============================== Prover9 ===============================
% 0.74/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.00  Process 5474 was started by sandbox2 on n005.cluster.edu,
% 0.74/1.00  Wed Jun 15 21:59:09 2022
% 0.74/1.00  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5321_n005.cluster.edu".
% 0.74/1.00  ============================== end of head ===========================
% 0.74/1.00  
% 0.74/1.00  ============================== INPUT =================================
% 0.74/1.00  
% 0.74/1.00  % Reading from file /tmp/Prover9_5321_n005.cluster.edu
% 0.74/1.00  
% 0.74/1.00  set(prolog_style_variables).
% 0.74/1.00  set(auto2).
% 0.74/1.00      % set(auto2) -> set(auto).
% 0.74/1.00      % set(auto) -> set(auto_inference).
% 0.74/1.00      % set(auto) -> set(auto_setup).
% 0.74/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.74/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.00      % set(auto) -> set(auto_limits).
% 0.74/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.00      % set(auto) -> set(auto_denials).
% 0.74/1.00      % set(auto) -> set(auto_process).
% 0.74/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.74/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.74/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.74/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.74/1.00      % set(auto2) -> assign(stats, some).
% 0.74/1.00      % set(auto2) -> clear(echo_input).
% 0.74/1.00      % set(auto2) -> set(quiet).
% 0.74/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.00      % set(auto2) -> clear(print_given).
% 0.74/1.00  assign(lrs_ticks,-1).
% 0.74/1.00  assign(sos_limit,10000).
% 0.74/1.00  assign(order,kbo).
% 0.74/1.00  set(lex_order_vars).
% 0.74/1.00  clear(print_given).
% 0.74/1.00  
% 0.74/1.00  % formulas(sos).  % not echoed (12 formulas)
% 0.74/1.00  
% 0.74/1.00  ============================== end of input ==========================
% 0.74/1.00  
% 0.74/1.00  % From the command line: assign(max_seconds, 300).
% 0.74/1.00  
% 0.74/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.00  
% 0.74/1.00  % Formulas that are not ordinary clauses:
% 0.74/1.00  
% 0.74/1.00  ============================== end of process non-clausal formulas ===
% 0.74/1.00  
% 0.74/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.74/1.00  
% 0.74/1.00  ============================== PREDICATE ELIMINATION =================
% 0.74/1.00  
% 0.74/1.00  ============================== end predicate elimination =============
% 0.74/1.00  
% 0.74/1.00  Auto_denials:  (non-Horn, no changes).
% 0.74/1.00  
% 0.74/1.00  Term ordering decisions:
% 0.74/1.00  Function symbol KB weights:  tc_Message_Omsg=1. v_A=1. c_Message_Oagent_OSpy=1. v_evsf=1. v_NA=1. v_B=1. v_C=1. v_X=1. c_OtwayRees_Ootway=1. tc_Event_Oevent=1. c_Event_Obad=1. tc_Message_Oagent=1. c_Message_Omsg_OMPair=1. c_Event_Oknows=1. c_Message_Omsg_OCrypt=1. c_Message_Omsg_OAgent=1. c_Message_Oparts=1. c_Public_OshrK=1. c_Message_Oanalz=1. c_Message_Osynth=1. c_Message_Omsg_OKey=1. tc_List_Olist=1. c_insert=1. c_union=1.
% 0.74/1.00  
% 0.74/1.00  ============================== end of process initial clauses ========
% 0.74/1.00  
% 0.74/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.74/1.00  
% 0.74/1.00  ============================== end of clauses for search =============
% 0.74/1.00  
% 0.74/1.00  ============================== SEARCH ================================
% 0.74/1.00  
% 0.74/1.00  % Starting search at 0.01 seconds.
% 0.74/1.00  
% 0.74/1.00  ============================== PROOF =================================
% 0.74/1.00  % SZS status Unsatisfiable
% 0.74/1.00  % SZS output start Refutation
% 0.74/1.00  
% 0.74/1.00  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.74/1.00  % Length of proof is 26.
% 0.74/1.00  % Level of proof is 8.
% 0.74/1.00  % Maximum clause weight is 33.000.
% 0.74/1.00  % Given clauses 30.
% 0.74/1.00  
% 0.74/1.00  1 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.74/1.00  2 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.74/1.00  3 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_3) # label(negated_conjecture).  [assumption].
% 0.74/1.00  4 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.74/1.00  5 v_B != v_C # label(cls_conjecture_5) # label(negated_conjecture).  [assumption].
% 0.74/1.00  6 v_C != v_B.  [copy(5),flip(a)].
% 0.74/1.00  7 -c_in(v_A,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 0.74/1.00  8 -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].
% 0.74/1.00  9 -c_in(A,c_union(B,C,D),D) | c_in(A,C,D) | c_in(A,B,D) # label(cls_Set_OUnE_0) # label(axiom).  [assumption].
% 0.74/1.00  10 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg) # label(cls_Message_OCrypt__synth_0) # label(axiom).  [assumption].
% 0.74/1.00  11 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) # label(cls_OtwayRees_OSpy__see__shrK__D__dest_0) # label(axiom).  [assumption].
% 0.74/1.00  12 -c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg) | -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg) | c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg) # label(cls_Message_OFake__parts__insert__in__Un__dest_0) # label(axiom).  [assumption].
% 0.74/1.00  13 v_B = v_C | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) # label(cls_conjecture_6) # label(negated_conjecture).  [assumption].
% 0.74/1.00  14 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).  [copy(13),flip(a),unit_del(a,6)].
% 0.74/1.00  17 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).  [ur(11,a,1,a,c,7,a)].
% 0.74/1.00  18 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg).  [resolve(12,a,4,a),unit_del(a,2)].
% 0.74/1.00  19 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg).  [resolve(12,a,3,a),unit_del(a,2)].
% 0.74/1.00  24 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).  [ur(8,b,17,a)].
% 0.74/1.00  40 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).  [resolve(18,a,9,a)].
% 0.74/1.00  41 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).  [resolve(19,a,9,a)].
% 0.74/1.00  42 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).  [resolve(40,b,10,a),unit_del(c,24)].
% 0.74/1.00  43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).  [resolve(42,b,8,a),merge(b)].
% 0.74/1.00  44 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).  [back_unit_del(14),unit_del(a,43)].
% 0.74/1.00  45 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).  [back_unit_del(41),unit_del(a,44)].
% 0.74/1.00  111 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).  [resolve(45,a,10,a),unit_del(b,24)].
% 0.74/1.00  112 $F.  [resolve(111,a,8,a),unit_del(a,44)].
% 0.74/1.00  
% 0.74/1.00  % SZS output end Refutation
% 0.74/1.00  ============================== end of proof ==========================
% 0.74/1.00  
% 0.74/1.00  ============================== STATISTICS ============================
% 0.74/1.00  
% 0.74/1.00  Given=30. Generated=131. Kept=109. proofs=1.
% 0.74/1.00  Usable=27. Sos=78. Demods=0. Limbo=0, Disabled=16. Hints=0.
% 0.74/1.00  Megabytes=0.18.
% 0.74/1.00  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.74/1.00  
% 0.74/1.00  ============================== end of statistics =====================
% 0.74/1.00  
% 0.74/1.00  ============================== end of search =========================
% 0.74/1.00  
% 0.74/1.00  THEOREM PROVED
% 0.74/1.00  % SZS status Unsatisfiable
% 0.74/1.00  
% 0.74/1.00  Exiting with 1 proof.
% 0.74/1.00  
% 0.74/1.00  Process 5474 exit (max_proofs) Wed Jun 15 21:59:09 2022
% 0.74/1.00  Prover9 interrupted
%------------------------------------------------------------------------------