TSTP Solution File: SWV302-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV302-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n009.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 21:11:40 EDT 2022

% Result   : Unsatisfiable 0.41s 0.96s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV302-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n009.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 : Tue Jun 14 17:59:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/0.96  ============================== Prover9 ===============================
% 0.41/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.96  Process 20758 was started by sandbox2 on n009.cluster.edu,
% 0.41/0.96  Tue Jun 14 17:59:38 2022
% 0.41/0.96  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20605_n009.cluster.edu".
% 0.41/0.96  ============================== end of head ===========================
% 0.41/0.96  
% 0.41/0.96  ============================== INPUT =================================
% 0.41/0.96  
% 0.41/0.96  % Reading from file /tmp/Prover9_20605_n009.cluster.edu
% 0.41/0.96  
% 0.41/0.96  set(prolog_style_variables).
% 0.41/0.96  set(auto2).
% 0.41/0.96      % set(auto2) -> set(auto).
% 0.41/0.96      % set(auto) -> set(auto_inference).
% 0.41/0.96      % set(auto) -> set(auto_setup).
% 0.41/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.41/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.96      % set(auto) -> set(auto_limits).
% 0.41/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.96      % set(auto) -> set(auto_denials).
% 0.41/0.96      % set(auto) -> set(auto_process).
% 0.41/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.41/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.41/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.41/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.41/0.96      % set(auto2) -> assign(stats, some).
% 0.41/0.96      % set(auto2) -> clear(echo_input).
% 0.41/0.96      % set(auto2) -> set(quiet).
% 0.41/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.96      % set(auto2) -> clear(print_given).
% 0.41/0.96  assign(lrs_ticks,-1).
% 0.41/0.96  assign(sos_limit,10000).
% 0.41/0.96  assign(order,kbo).
% 0.41/0.96  set(lex_order_vars).
% 0.41/0.96  clear(print_given).
% 0.41/0.96  
% 0.41/0.96  % formulas(sos).  % not echoed (8 formulas)
% 0.41/0.96  
% 0.41/0.96  ============================== end of input ==========================
% 0.41/0.96  
% 0.41/0.96  % From the command line: assign(max_seconds, 300).
% 0.41/0.96  
% 0.41/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.96  
% 0.41/0.96  % Formulas that are not ordinary clauses:
% 0.41/0.96  
% 0.41/0.96  ============================== end of process non-clausal formulas ===
% 0.41/0.96  
% 0.41/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.96  
% 0.41/0.96  ============================== PREDICATE ELIMINATION =================
% 0.41/0.96  
% 0.41/0.96  ============================== end predicate elimination =============
% 0.41/0.96  
% 0.41/0.96  Auto_denials:  (non-Horn, no changes).
% 0.41/0.96  
% 0.41/0.96  Term ordering decisions:
% 0.41/0.96  Function symbol KB weights:  v_B=1. tc_Message_Omsg=1. tc_Event_Oevent=1. v_NA=1. v_NB=1. v_A=1. v_evs2=1. v_K=1. c_Message_Oagent_OServer=1. c_Message_Oagent_OSpy=1. v_NBa=1. v_x=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_Message_Omsg_OAgent=1. c_Message_Oparts=1. c_Public_OshrK=1. c_Message_Omsg_OKey=1. c_Event_Oused=1. c_Message_Omsg_ONonce=1. c_Event_Oevent_OSays=1.
% 0.41/0.96  
% 0.41/0.96  ============================== end of process initial clauses ========
% 0.41/0.96  
% 0.41/0.96  ============================== CLAUSES FOR SEARCH ====================
% 0.41/0.96  
% 0.41/0.96  ============================== end of clauses for search =============
% 0.41/0.96  
% 0.41/0.96  ============================== SEARCH ================================
% 0.41/0.96  
% 0.41/0.96  % Starting search at 0.01 seconds.
% 0.41/0.96  
% 0.41/0.96  ============================== PROOF =================================
% 0.41/0.96  % SZS status Unsatisfiable
% 0.41/0.96  % SZS output start Refutation
% 0.41/0.96  
% 0.41/0.96  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.41/0.96  % Length of proof is 16.
% 0.41/0.96  % Level of proof is 6.
% 0.41/0.96  % Maximum clause weight is 34.000.
% 0.41/0.96  % Given clauses 10.
% 0.41/0.96  
% 0.41/0.96  1 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_evs2)),tc_Message_Omsg) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.41/0.96  2 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,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_evs2,tc_Event_Oevent),tc_Event_Oevent) | v_NB = c_Message_Omsg_ONonce(v_NBa) # label(cls_conjecture_13) # label(negated_conjecture).  [assumption].
% 0.41/0.96  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,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_evs2,tc_Event_Oevent),tc_Event_Oevent) | c_Message_Omsg_ONonce(v_NBa) = v_NB.  [copy(2),flip(b)].
% 0.41/0.96  4 -c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.41/0.96  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_evs2,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_5) # label(negated_conjecture).  [assumption].
% 0.41/0.96  6 -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg) | c_in(A,c_Event_Oused(B),tc_Message_Omsg) # label(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) # label(axiom).  [assumption].
% 0.41/0.96  7 -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].
% 0.41/0.96  8 -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].
% 0.41/0.96  9 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_evs2,tc_Event_Oevent),tc_Event_Oevent) | -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(A,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_evs2,tc_Event_Oevent),tc_Event_Oevent) | -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_evs2)),tc_Message_Omsg) # label(cls_conjecture_16) # label(negated_conjecture).  [assumption].
% 0.41/0.96  10 -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(A,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_evs2,tc_Event_Oevent),tc_Event_Oevent).  [copy(9),unit_del(a,5),unit_del(c,1)].
% 0.41/0.96  11 c_Message_Omsg_ONonce(v_NBa) = v_NB.  [back_unit_del(3),unit_del(a,10)].
% 0.41/0.96  12 -c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg).  [back_rewrite(4),rewrite([11(2)])].
% 0.41/0.96  14 c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg).  [resolve(8,a,1,a)].
% 0.41/0.96  15 -c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg).  [ur(6,b,12,a)].
% 0.41/0.96  17 -c_in(c_Message_Omsg_OMPair(v_NB,A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg).  [ur(7,b,15,a)].
% 0.41/0.96  18 $F.  [resolve(17,a,14,a)].
% 0.41/0.96  
% 0.41/0.96  % SZS output end Refutation
% 0.41/0.96  ============================== end of proof ==========================
% 0.41/0.96  
% 0.41/0.96  ============================== STATISTICS ============================
% 0.41/0.96  
% 0.41/0.96  Given=10. Generated=16. Kept=15. proofs=1.
% 0.41/0.96  Usable=10. Sos=1. Demods=1. Limbo=1, Disabled=10. Hints=0.
% 0.41/0.96  Megabytes=0.07.
% 0.41/0.96  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.41/0.96  
% 0.41/0.96  ============================== end of statistics =====================
% 0.41/0.96  
% 0.41/0.96  ============================== end of search =========================
% 0.41/0.96  
% 0.41/0.96  THEOREM PROVED
% 0.41/0.96  % SZS status Unsatisfiable
% 0.41/0.96  
% 0.41/0.96  Exiting with 1 proof.
% 0.41/0.96  
% 0.41/0.96  Process 20758 exit (max_proofs) Tue Jun 14 17:59:38 2022
% 0.41/0.96  Prover9 interrupted
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