TSTP Solution File: SWV306-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV306-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n007.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 21:11:43 EDT 2022

% Result   : Unsatisfiable 0.43s 0.99s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV306-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n007.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 00:34:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/0.99  ============================== Prover9 ===============================
% 0.43/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.99  Process 26470 was started by sandbox on n007.cluster.edu,
% 0.43/0.99  Wed Jun 15 00:34:26 2022
% 0.43/0.99  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26317_n007.cluster.edu".
% 0.43/0.99  ============================== end of head ===========================
% 0.43/0.99  
% 0.43/0.99  ============================== INPUT =================================
% 0.43/0.99  
% 0.43/0.99  % Reading from file /tmp/Prover9_26317_n007.cluster.edu
% 0.43/0.99  
% 0.43/0.99  set(prolog_style_variables).
% 0.43/0.99  set(auto2).
% 0.43/0.99      % set(auto2) -> set(auto).
% 0.43/0.99      % set(auto) -> set(auto_inference).
% 0.43/0.99      % set(auto) -> set(auto_setup).
% 0.43/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.99      % set(auto) -> set(auto_limits).
% 0.43/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.99      % set(auto) -> set(auto_denials).
% 0.43/0.99      % set(auto) -> set(auto_process).
% 0.43/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.99      % set(auto2) -> assign(stats, some).
% 0.43/0.99      % set(auto2) -> clear(echo_input).
% 0.43/0.99      % set(auto2) -> set(quiet).
% 0.43/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.99      % set(auto2) -> clear(print_given).
% 0.43/0.99  assign(lrs_ticks,-1).
% 0.43/0.99  assign(sos_limit,10000).
% 0.43/0.99  assign(order,kbo).
% 0.43/0.99  set(lex_order_vars).
% 0.43/0.99  clear(print_given).
% 0.43/0.99  
% 0.43/0.99  % formulas(sos).  % not echoed (7 formulas)
% 0.43/0.99  
% 0.43/0.99  ============================== end of input ==========================
% 0.43/0.99  
% 0.43/0.99  % From the command line: assign(max_seconds, 300).
% 0.43/0.99  
% 0.43/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.99  
% 0.43/0.99  % Formulas that are not ordinary clauses:
% 0.43/0.99  
% 0.43/0.99  ============================== end of process non-clausal formulas ===
% 0.43/0.99  
% 0.43/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.99  
% 0.43/0.99  ============================== PREDICATE ELIMINATION =================
% 0.43/0.99  
% 0.43/0.99  ============================== end predicate elimination =============
% 0.43/0.99  
% 0.43/0.99  Auto_denials:
% 0.43/0.99    % copying label cls_conjecture_2 to answer in negative clause
% 0.43/0.99  
% 0.43/0.99  Term ordering decisions:
% 0.43/0.99  Function symbol KB weights:  tc_Message_Omsg=1. c_Message_Oagent_OSpy=1. v_Aa=1. v_NAa=1. v_A_H=1. v_NA=1. v_NA_H=1. v_evs1=1. c_Message_Omsg_OMPair=1. c_Event_Oknows=1. c_Message_Omsg_OCrypt=1. c_Message_Oparts=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_ONonce=1. c_Event_Oused=1. c_Public_OshrK=1.
% 0.43/0.99  
% 0.43/0.99  ============================== end of process initial clauses ========
% 0.43/0.99  
% 0.43/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.99  
% 0.43/0.99  ============================== end of clauses for search =============
% 0.43/0.99  
% 0.43/0.99  ============================== SEARCH ================================
% 0.43/0.99  
% 0.43/0.99  % Starting search at 0.01 seconds.
% 0.43/0.99  
% 0.43/0.99  ============================== PROOF =================================
% 0.43/0.99  % SZS status Unsatisfiable
% 0.43/0.99  % SZS output start Refutation
% 0.43/0.99  
% 0.43/0.99  % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_2.
% 0.43/0.99  % Length of proof is 15.
% 0.43/0.99  % Level of proof is 6.
% 0.43/0.99  % Maximum clause weight is 18.000.
% 0.43/0.99  % Given clauses 11.
% 0.43/0.99  
% 0.43/0.99  1 v_NA = c_Message_Omsg_ONonce(v_NAa) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.43/0.99  2 c_Message_Omsg_ONonce(v_NAa) = v_NA.  [copy(1),flip(a)].
% 0.43/0.99  3 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) # label(cls_conjecture_7) # label(negated_conjecture).  [assumption].
% 0.43/0.99  4 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg).  [copy(3),rewrite([2(5)])].
% 0.43/0.99  5 -c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture) # answer(cls_conjecture_2).  [assumption].
% 0.43/0.99  6 -c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg) # answer(cls_conjecture_2).  [copy(5),rewrite([2(2)])].
% 0.43/0.99  7 -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].
% 0.43/0.99  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].
% 0.43/0.99  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].
% 0.43/0.99  10 -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].
% 0.43/0.99  12 -c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) # answer(cls_conjecture_2).  [ur(7,b,6,a)].
% 0.43/0.99  13 c_in(c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg).  [hyper(10,a,4,a)].
% 0.43/0.99  15 -c_in(c_Message_Omsg_OMPair(v_NA,A),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) # answer(cls_conjecture_2).  [ur(9,b,12,a)].
% 0.43/0.99  22 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(v_NA,B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) # answer(cls_conjecture_2).  [ur(8,b,15,a)].
% 0.43/0.99  23 $F # answer(cls_conjecture_2).  [resolve(22,a,13,a)].
% 0.43/0.99  
% 0.43/0.99  % SZS output end Refutation
% 0.43/0.99  ============================== end of proof ==========================
% 0.43/0.99  
% 0.43/0.99  ============================== STATISTICS ============================
% 0.43/0.99  
% 0.43/0.99  Given=11. Generated=20. Kept=19. proofs=1.
% 0.43/0.99  Usable=11. Sos=5. Demods=1. Limbo=2, Disabled=7. Hints=0.
% 0.43/0.99  Megabytes=0.05.
% 0.43/0.99  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.99  
% 0.43/0.99  ============================== end of statistics =====================
% 0.43/0.99  
% 0.43/0.99  ============================== end of search =========================
% 0.43/0.99  
% 0.43/0.99  THEOREM PROVED
% 0.43/0.99  % SZS status Unsatisfiable
% 0.43/0.99  
% 0.43/0.99  Exiting with 1 proof.
% 0.43/0.99  
% 0.43/0.99  Process 26470 exit (max_proofs) Wed Jun 15 00:34:26 2022
% 0.43/0.99  Prover9 interrupted
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