TSTP Solution File: SWV346-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n014.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 21:12:10 EDT 2022

% Result   : Unsatisfiable 0.42s 0.97s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n014.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 00:12:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.42/0.97  ============================== Prover9 ===============================
% 0.42/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.97  Process 3281 was started by sandbox2 on n014.cluster.edu,
% 0.42/0.97  Wed Jun 15 00:12:22 2022
% 0.42/0.97  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3128_n014.cluster.edu".
% 0.42/0.97  ============================== end of head ===========================
% 0.42/0.97  
% 0.42/0.97  ============================== INPUT =================================
% 0.42/0.97  
% 0.42/0.97  % Reading from file /tmp/Prover9_3128_n014.cluster.edu
% 0.42/0.97  
% 0.42/0.97  set(prolog_style_variables).
% 0.42/0.97  set(auto2).
% 0.42/0.97      % set(auto2) -> set(auto).
% 0.42/0.97      % set(auto) -> set(auto_inference).
% 0.42/0.97      % set(auto) -> set(auto_setup).
% 0.42/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.42/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.97      % set(auto) -> set(auto_limits).
% 0.42/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.97      % set(auto) -> set(auto_denials).
% 0.42/0.97      % set(auto) -> set(auto_process).
% 0.42/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.42/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.42/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.42/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.42/0.97      % set(auto2) -> assign(stats, some).
% 0.42/0.97      % set(auto2) -> clear(echo_input).
% 0.42/0.97      % set(auto2) -> set(quiet).
% 0.42/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.97      % set(auto2) -> clear(print_given).
% 0.42/0.97  assign(lrs_ticks,-1).
% 0.42/0.97  assign(sos_limit,10000).
% 0.42/0.97  assign(order,kbo).
% 0.42/0.97  set(lex_order_vars).
% 0.42/0.97  clear(print_given).
% 0.42/0.97  
% 0.42/0.97  % formulas(sos).  % not echoed (5 formulas)
% 0.42/0.97  
% 0.42/0.97  ============================== end of input ==========================
% 0.42/0.97  
% 0.42/0.97  % From the command line: assign(max_seconds, 300).
% 0.42/0.97  
% 0.42/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.97  
% 0.42/0.97  % Formulas that are not ordinary clauses:
% 0.42/0.97  
% 0.42/0.97  ============================== end of process non-clausal formulas ===
% 0.42/0.97  
% 0.42/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.97  
% 0.42/0.97  ============================== PREDICATE ELIMINATION =================
% 0.42/0.97  
% 0.42/0.97  ============================== end predicate elimination =============
% 0.42/0.97  
% 0.42/0.97  Auto_denials:
% 0.42/0.97    % copying label cls_conjecture_7 to answer in negative clause
% 0.42/0.97  
% 0.42/0.97  Term ordering decisions:
% 0.42/0.97  Function symbol KB weights:  tc_Event_Oevent=1. c_Message_Oagent_OServer=1. v_A=1. v_K=1. v_evso=1. c_Yahalom_Oyahalom=1. v_Aa=1. v_B=1. v_Ba=1. v_NA=1. v_NB=1. v_X=1. v_na=1. v_nb=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_List_Oset=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_OKey=1. c_Public_OshrK=1. c_Message_Omsg_ONonce=1. tc_List_Olist=1. c_Event_Oevent_OSays=1.
% 0.42/0.97  
% 0.42/0.97  ============================== end of process initial clauses ========
% 0.42/0.97  
% 0.42/0.97  ============================== CLAUSES FOR SEARCH ====================
% 0.42/0.97  
% 0.42/0.97  ============================== end of clauses for search =============
% 0.42/0.97  
% 0.42/0.97  ============================== SEARCH ================================
% 0.42/0.97  
% 0.42/0.97  % Starting search at 0.01 seconds.
% 0.42/0.97  
% 0.42/0.97  ============================== PROOF =================================
% 0.42/0.97  % SZS status Unsatisfiable
% 0.42/0.97  % SZS output start Refutation
% 0.42/0.97  
% 0.42/0.97  % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_7.
% 0.42/0.97  % Length of proof is 8.
% 0.42/0.97  % Level of proof is 2.
% 0.42/0.97  % Maximum clause weight is 52.000.
% 0.42/0.97  % Given clauses 5.
% 0.42/0.97  
% 0.42/0.97  1 c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.42/0.97  2 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_3) # label(negated_conjecture).  [assumption].
% 0.42/0.97  3 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.42/0.97  4 v_na != c_Message_Omsg_ONonce(v_NA) # label(cls_conjecture_7) # label(negated_conjecture) # answer(cls_conjecture_7).  [assumption].
% 0.42/0.97  5 c_Message_Omsg_ONonce(v_NA) != v_na # answer(cls_conjecture_7).  [copy(4),flip(a)].
% 0.42/0.97  6 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),V6)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(V9,V10)))),V11)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | V9 = E # label(cls_Yahalom_Ounique__session__keys__dest_2) # label(axiom).  [assumption].
% 0.42/0.97  7 c_Message_Omsg_ONonce(v_NA) = v_na.  [hyper(6,a,1,a,b,3,a,c,2,a)].
% 0.42/0.97  8 $F # answer(cls_conjecture_7).  [resolve(7,a,5,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=5. Generated=7. Kept=6. proofs=1.
% 0.42/0.97  Usable=5. Sos=0. Demods=0. Limbo=0, Disabled=5. Hints=0.
% 0.42/0.97  Megabytes=0.06.
% 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 3281 exit (max_proofs) Wed Jun 15 00:12:22 2022
% 0.42/0.97  Prover9 interrupted
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