TSTP Solution File: SWV321-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n013.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 21:11:53 EDT 2022

% Result   : Unsatisfiable 0.73s 1.03s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 00:03:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.73/1.03  ============================== Prover9 ===============================
% 0.73/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.73/1.03  Process 11282 was started by sandbox on n013.cluster.edu,
% 0.73/1.03  Wed Jun 15 00:03:59 2022
% 0.73/1.03  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11127_n013.cluster.edu".
% 0.73/1.03  ============================== end of head ===========================
% 0.73/1.03  
% 0.73/1.03  ============================== INPUT =================================
% 0.73/1.03  
% 0.73/1.03  % Reading from file /tmp/Prover9_11127_n013.cluster.edu
% 0.73/1.03  
% 0.73/1.03  set(prolog_style_variables).
% 0.73/1.03  set(auto2).
% 0.73/1.03      % set(auto2) -> set(auto).
% 0.73/1.03      % set(auto) -> set(auto_inference).
% 0.73/1.03      % set(auto) -> set(auto_setup).
% 0.73/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.73/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.73/1.03      % set(auto) -> set(auto_limits).
% 0.73/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.73/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.73/1.03      % set(auto) -> set(auto_denials).
% 0.73/1.03      % set(auto) -> set(auto_process).
% 0.73/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.73/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.73/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.73/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.73/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.73/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.73/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.73/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.73/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.73/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.73/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.73/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.73/1.03      % set(auto2) -> assign(stats, some).
% 0.73/1.03      % set(auto2) -> clear(echo_input).
% 0.73/1.03      % set(auto2) -> set(quiet).
% 0.73/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.73/1.03      % set(auto2) -> clear(print_given).
% 0.73/1.03  assign(lrs_ticks,-1).
% 0.73/1.03  assign(sos_limit,10000).
% 0.73/1.03  assign(order,kbo).
% 0.73/1.03  set(lex_order_vars).
% 0.73/1.03  clear(print_given).
% 0.73/1.03  
% 0.73/1.03  % formulas(sos).  % not echoed (11 formulas)
% 0.73/1.03  
% 0.73/1.03  ============================== end of input ==========================
% 0.73/1.03  
% 0.73/1.03  % From the command line: assign(max_seconds, 300).
% 0.73/1.03  
% 0.73/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.73/1.03  
% 0.73/1.03  % Formulas that are not ordinary clauses:
% 0.73/1.03  
% 0.73/1.03  ============================== end of process non-clausal formulas ===
% 0.73/1.03  
% 0.73/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.03  
% 0.73/1.03  ============================== PREDICATE ELIMINATION =================
% 0.73/1.03  
% 0.73/1.03  ============================== end predicate elimination =============
% 0.73/1.03  
% 0.73/1.03  Auto_denials:  (non-Horn, no changes).
% 0.73/1.03  
% 0.73/1.03  Term ordering decisions:
% 0.73/1.03  Function symbol KB weights:  tc_Message_Omsg=1. c_Message_Oagent_OSpy=1. v_A=1. c_Event_Obad=1. tc_Message_Oagent=1. v_evsf=1. v_X=1. c_Event_Oknows=1. c_Message_Oparts=1. c_Message_Omsg_OKey=1. c_Message_Oanalz=1. c_Message_Osynth=1. c_Public_OshrK=1. c_insert=1. c_union=1.
% 0.73/1.03  
% 0.73/1.03  ============================== end of process initial clauses ========
% 0.73/1.03  
% 0.73/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.73/1.03  
% 0.73/1.03  ============================== end of clauses for search =============
% 0.73/1.03  
% 0.73/1.03  ============================== SEARCH ================================
% 0.73/1.03  
% 0.73/1.03  % Starting search at 0.01 seconds.
% 0.73/1.03  
% 0.73/1.03  ============================== PROOF =================================
% 0.73/1.03  % SZS status Unsatisfiable
% 0.73/1.03  % SZS output start Refutation
% 0.73/1.03  
% 0.73/1.03  % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.73/1.03  % Length of proof is 20.
% 0.73/1.03  % Level of proof is 8.
% 0.73/1.03  % Maximum clause weight is 24.000.
% 0.73/1.03  % Given clauses 154.
% 0.73/1.03  
% 0.73/1.03  1 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_1) # label(negated_conjecture).  [assumption].
% 0.73/1.03  2 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_evsf),tc_Message_Omsg)),tc_Message_Omsg) | c_in(v_A,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_5) # label(negated_conjecture).  [assumption].
% 0.73/1.03  3 -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_evsf),tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.73/1.03  4 -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].
% 0.73/1.03  5 -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].
% 0.73/1.03  6 -c_in(c_Message_Omsg_OKey(A),c_Message_Osynth(B),tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(A),B,tc_Message_Omsg) # label(cls_Message_OKey__synth_0) # label(axiom).  [assumption].
% 0.73/1.03  7 -c_in(A,B,C) | c_in(A,c_insert(D,B,C),C) # label(cls_Set_OinsertCI_0) # label(axiom).  [assumption].
% 0.73/1.03  8 -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].
% 0.73/1.03  9 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_evsf)),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.73/1.03  10 -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].
% 0.73/1.03  11 -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].
% 0.73/1.03  17 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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) | c_in(v_A,c_Event_Obad,tc_Message_Oagent).  [resolve(11,a,2,a),unit_del(a,1)].
% 0.73/1.03  39 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_evsf)),tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).  [resolve(17,a,10,a)].
% 0.73/1.03  106 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_evsf)),tc_Message_Omsg) | 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).  [resolve(39,c,6,a)].
% 0.73/1.03  305 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_evsf)),tc_Message_Omsg).  [resolve(106,c,5,a),merge(c)].
% 0.73/1.03  306 c_in(v_A,c_Event_Obad,tc_Message_Oagent).  [resolve(305,b,9,b),merge(b)].
% 0.73/1.03  307 -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_evsf),tc_Message_Omsg)),tc_Message_Omsg).  [back_unit_del(3),unit_del(a,306)].
% 0.73/1.03  308 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg).  [resolve(306,a,8,a)].
% 0.73/1.03  311 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg),tc_Message_Omsg).  [resolve(308,a,7,a)].
% 0.73/1.03  316 $F.  [ur(4,b,307,a),unit_del(a,311)].
% 0.73/1.03  
% 0.73/1.03  % SZS output end Refutation
% 0.73/1.03  ============================== end of proof ==========================
% 0.73/1.03  
% 0.73/1.03  ============================== STATISTICS ============================
% 0.73/1.03  
% 0.73/1.03  Given=154. Generated=322. Kept=315. proofs=1.
% 0.73/1.03  Usable=129. Sos=132. Demods=0. Limbo=3, Disabled=62. Hints=0.
% 0.73/1.03  Megabytes=0.67.
% 0.73/1.03  User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.73/1.03  
% 0.73/1.03  ============================== end of statistics =====================
% 0.73/1.03  
% 0.73/1.03  ============================== end of search =========================
% 0.73/1.03  
% 0.73/1.03  THEOREM PROVED
% 0.73/1.03  % SZS status Unsatisfiable
% 0.73/1.03  
% 0.73/1.03  Exiting with 1 proof.
% 0.73/1.03  
% 0.73/1.03  Process 11282 exit (max_proofs) Wed Jun 15 00:03:59 2022
% 0.73/1.03  Prover9 interrupted
%------------------------------------------------------------------------------