TSTP Solution File: SWV790-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV790-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n008.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 21:14:49 EDT 2022

% Result   : Unsatisfiable 0.87s 1.26s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWV790-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n008.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 23:50:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.87/1.17  ============================== Prover9 ===============================
% 0.87/1.17  Prover9 (32) version 2009-11A, November 2009.
% 0.87/1.17  Process 29351 was started by sandbox on n008.cluster.edu,
% 0.87/1.17  Tue Jun 14 23:50:53 2022
% 0.87/1.17  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_29196_n008.cluster.edu".
% 0.87/1.17  ============================== end of head ===========================
% 0.87/1.17  
% 0.87/1.17  ============================== INPUT =================================
% 0.87/1.17  
% 0.87/1.17  % Reading from file /tmp/Prover9_29196_n008.cluster.edu
% 0.87/1.17  
% 0.87/1.17  set(prolog_style_variables).
% 0.87/1.17  set(auto2).
% 0.87/1.17      % set(auto2) -> set(auto).
% 0.87/1.17      % set(auto) -> set(auto_inference).
% 0.87/1.17      % set(auto) -> set(auto_setup).
% 0.87/1.17      % set(auto_setup) -> set(predicate_elim).
% 0.87/1.17      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.87/1.17      % set(auto) -> set(auto_limits).
% 0.87/1.17      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.87/1.17      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.87/1.17      % set(auto) -> set(auto_denials).
% 0.87/1.17      % set(auto) -> set(auto_process).
% 0.87/1.17      % set(auto2) -> assign(new_constants, 1).
% 0.87/1.17      % set(auto2) -> assign(fold_denial_max, 3).
% 0.87/1.17      % set(auto2) -> assign(max_weight, "200.000").
% 0.87/1.17      % set(auto2) -> assign(max_hours, 1).
% 0.87/1.17      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.87/1.17      % set(auto2) -> assign(max_seconds, 0).
% 0.87/1.17      % set(auto2) -> assign(max_minutes, 5).
% 0.87/1.17      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.87/1.17      % set(auto2) -> set(sort_initial_sos).
% 0.87/1.17      % set(auto2) -> assign(sos_limit, -1).
% 0.87/1.17      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.87/1.17      % set(auto2) -> assign(max_megs, 400).
% 0.87/1.17      % set(auto2) -> assign(stats, some).
% 0.87/1.17      % set(auto2) -> clear(echo_input).
% 0.87/1.17      % set(auto2) -> set(quiet).
% 0.87/1.17      % set(auto2) -> clear(print_initial_clauses).
% 0.87/1.17      % set(auto2) -> clear(print_given).
% 0.87/1.17  assign(lrs_ticks,-1).
% 0.87/1.17  assign(sos_limit,10000).
% 0.87/1.17  assign(order,kbo).
% 0.87/1.17  set(lex_order_vars).
% 0.87/1.17  clear(print_given).
% 0.87/1.17  
% 0.87/1.17  % formulas(sos).  % not echoed (546 formulas)
% 0.87/1.17  
% 0.87/1.17  ============================== end of input ==========================
% 0.87/1.17  
% 0.87/1.17  % From the command line: assign(max_seconds, 300).
% 0.87/1.17  
% 0.87/1.17  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.87/1.17  
% 0.87/1.17  % Formulas that are not ordinary clauses:
% 0.87/1.17  
% 0.87/1.17  ============================== end of process non-clausal formulas ===
% 0.87/1.17  
% 0.87/1.17  ============================== PROCESS INITIAL CLAUSES ===============
% 0.87/1.17  
% 0.87/1.17  ============================== PREDICATE ELIMINATION =================
% 0.87/1.17  1 c_NS__Shared__Mirabelle_OIssues(A,B,C,D) | c_in(C,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(A,B,E),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(D,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(C,c_Message_Oparts(c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(A,B,E),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent) # label(cls_Issues__def_3) # label(axiom).  [assumption].
% 0.87/1.17  2 c_in(A,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,D),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_NS__Shared__Mirabelle_OIssues(B,C,A,D) # label(cls_Issues__def_1) # label(axiom).  [assumption].
% 0.87/1.17  3 c_in(c_Event_Oevent_OSays(A,B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(A,B,C,D)),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent) | -c_NS__Shared__Mirabelle_OIssues(A,B,C,D) # label(cls_Issues__def_0) # label(axiom).  [assumption].
% 0.87/1.17  Derived: c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,D),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(E,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(A,c_Message_Oparts(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,D),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent) | c_in(A,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg).  [resolve(1,a,2,b)].
% 0.87/1.26  Derived: c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,D),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(E,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(A,c_Message_Oparts(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,D),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,E)),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent).  [resolve(1,a,3,b)].
% 0.87/1.26  4 -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,D)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(D,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_NS__Shared__Mirabelle_OIssues(B,C,A,D) # label(cls_Issues__def_2) # label(axiom).  [assumption].
% 0.87/1.26  Derived: -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,D)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(D,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,E),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(D,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(A,c_Message_Oparts(c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,E),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent).  [resolve(4,b,1,a)].
% 0.87/1.26  5 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom).  [assumption].
% 0.87/1.26  6 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom).  [assumption].
% 0.87/1.26  Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(5,a,6,a)].
% 0.87/1.26  
% 0.87/1.26  ============================== end predicate elimination =============
% 0.87/1.26  
% 0.87/1.26  Auto_denials:  (non-Horn, no changes).
% 0.87/1.26  
% 0.87/1.26  Term ordering decisions:
% 0.87/1.26  Function symbol KB weights:  tc_Message_Omsg=1. tc_Event_Oevent=1. tc_bool=1. c_Message_Omsg_OKey=1. c_Message_Oagent_OSpy=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. tc_Message_Oagent=1. tc_nat=1. c_Not=1. v_X=1. v_Ba=1. v_evsf=1. v_A=1. v_B=1. v_K=1. v_Nb=1. hAPP=1. tc_fun=1. c_Message_Omsg_OMPair=1. c_List_Oset=1. c_Event_Oknows=1. c_Message_Omsg_OCrypt=1. c_List_Orev=1. c_Event_Oevent_ONotes=1. c_List_Obutlast=1. c_Event_Oevent_OGets=1. c_List_Olast=1. c_Public_OpublicKey=1. c_List_Olists=1. c_Message_OHPair=1. c_List_Orotate1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2=1. c_Message_Oanalz=1. c_List_Olist_ONil=1. c_Message_Oparts=1. c_Message_Osynth=1. c_Message_Omsg_OAgent=1. c_Public_OshrK=1. c_Message_Omsg_ONonce=1. c_Orderings_Obot__class_Obot=1. tc_List_Olist=1. c_Event_Oused=1. c_Message_OinvKey=1. c_fequal=1. c_Event_OinitState=1. c_Set_Oinsert=1. c_List_Olist_OCons=1. c_List_Oappend=1. c_Event_Oevent_OSays=1. c_List_OtakeWhile=1. c_List_Ofilter=1. c_List_Oreplicate=1. c_List_Oremove1=1. c_List_OdropWhile=1. c_List_Osko__List__Xsplit__list__first__prop__iff__1__5=1. c_List_Osko__List__Xsplit__list__last__prop__iff__1__5=1. c_List_Osko__List__XtakeWhile__append2__1__1=1. c_List_Osko__List__XtakeWhile__eq__all__conv__1__1=1. c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1=1. v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1=1. v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1=1. v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1=1. v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1=1. c_Set_Oimage=1. c_List_Osko__List__XtakeWhile__cong__1__1=1. v_sko__NS__Shared__Mirabelle__XIssues__def__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1=1. c_COMBB=1. c_COMBC=1. c_List_Osko__List__XCons__eq__append__conv__1__1=1. c_List_Osko__List__Xappend__eq__Cons__conv__1__1=1.
% 0.87/1.26  
% 0.87/1.26  ============================== PROOF =================================
% 0.87/1.26  % SZS status Unsatisfiable
% 0.87/1.26  % SZS output start Refutation
% 0.87/1.26  
% 0.87/1.26  % Proof 1 at 0.14 (+ 0.00) seconds.
% 0.87/1.26  % Length of proof is 4.
% 0.87/1.26  % Level of proof is 1.
% 0.87/1.26  % Maximum clause weight is 4.000.
% 0.87/1.26  % Given clauses 0.
% 0.87/1.26  
% 0.87/1.26  478 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) # label(cls_Spy__in__bad_0) # label(axiom).  [assumption].
% 0.87/1.26  561 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.87/1.26  565 v_B = c_Message_Oagent_OSpy # label(cls_conjecture_5) # label(negated_conjecture).  [assumption].
% 0.87/1.26  612 $F.  [back_rewrite(561),rewrite([565(1)]),unit_del(a,478)].
% 0.87/1.26  
% 0.87/1.26  % SZS output end Refutation
% 0.87/1.26  ============================== end of proof ==========================
% 0.87/1.26  
% 0.87/1.26  ============================== STATISTICS ============================
% 0.87/1.26  
% 0.87/1.26  Given=0. Generated=579. Kept=459. proofs=1.
% 0.87/1.26  Usable=0. Sos=395. Demods=65. Limbo=40, Disabled=574. Hints=0.
% 0.87/1.26  Megabytes=1.49.
% 0.87/1.26  User_CPU=0.14, System_CPU=0.00, Wall_clock=0.
% 0.87/1.26  
% 0.87/1.26  ============================== end of statistics =====================
% 0.87/1.26  
% 0.87/1.26  ============================== end of search =========================
% 0.87/1.26  
% 0.87/1.26  THEOREM PROVED
% 0.87/1.26  % SZS status Unsatisfiable
% 0.87/1.26  
% 0.87/1.26  Exiting with 1 proof.
% 0.87/1.26  
% 0.87/1.26  Process 29351 exit (max_proofs) Tue Jun 14 23:50:53 2022
% 0.87/1.26  Prover9 interrupted
%------------------------------------------------------------------------------