TSTP Solution File: SWV810-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV810-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n027.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 21:14:54 EDT 2022

% Result   : Timeout 300.03s 300.27s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV810-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n027.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 09:36:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.92/1.24  ============================== Prover9 ===============================
% 0.92/1.24  Prover9 (32) version 2009-11A, November 2009.
% 0.92/1.24  Process 20457 was started by sandbox on n027.cluster.edu,
% 0.92/1.24  Wed Jun 15 09:36:20 2022
% 0.92/1.24  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_20304_n027.cluster.edu".
% 0.92/1.24  ============================== end of head ===========================
% 0.92/1.24  
% 0.92/1.24  ============================== INPUT =================================
% 0.92/1.24  
% 0.92/1.24  % Reading from file /tmp/Prover9_20304_n027.cluster.edu
% 0.92/1.24  
% 0.92/1.24  set(prolog_style_variables).
% 0.92/1.24  set(auto2).
% 0.92/1.24      % set(auto2) -> set(auto).
% 0.92/1.24      % set(auto) -> set(auto_inference).
% 0.92/1.24      % set(auto) -> set(auto_setup).
% 0.92/1.24      % set(auto_setup) -> set(predicate_elim).
% 0.92/1.24      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.92/1.24      % set(auto) -> set(auto_limits).
% 0.92/1.24      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.92/1.24      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.92/1.24      % set(auto) -> set(auto_denials).
% 0.92/1.24      % set(auto) -> set(auto_process).
% 0.92/1.24      % set(auto2) -> assign(new_constants, 1).
% 0.92/1.24      % set(auto2) -> assign(fold_denial_max, 3).
% 0.92/1.24      % set(auto2) -> assign(max_weight, "200.000").
% 0.92/1.24      % set(auto2) -> assign(max_hours, 1).
% 0.92/1.24      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.92/1.24      % set(auto2) -> assign(max_seconds, 0).
% 0.92/1.24      % set(auto2) -> assign(max_minutes, 5).
% 0.92/1.24      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.92/1.24      % set(auto2) -> set(sort_initial_sos).
% 0.92/1.24      % set(auto2) -> assign(sos_limit, -1).
% 0.92/1.24      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.92/1.24      % set(auto2) -> assign(max_megs, 400).
% 0.92/1.24      % set(auto2) -> assign(stats, some).
% 0.92/1.24      % set(auto2) -> clear(echo_input).
% 0.92/1.24      % set(auto2) -> set(quiet).
% 0.92/1.24      % set(auto2) -> clear(print_initial_clauses).
% 0.92/1.24      % set(auto2) -> clear(print_given).
% 0.92/1.24  assign(lrs_ticks,-1).
% 0.92/1.24  assign(sos_limit,10000).
% 0.92/1.24  assign(order,kbo).
% 0.92/1.24  set(lex_order_vars).
% 0.92/1.24  clear(print_given).
% 0.92/1.24  
% 0.92/1.24  % formulas(sos).  % not echoed (584 formulas)
% 0.92/1.24  
% 0.92/1.24  ============================== end of input ==========================
% 0.92/1.24  
% 0.92/1.24  % From the command line: assign(max_seconds, 300).
% 0.92/1.24  
% 0.92/1.24  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.92/1.24  
% 0.92/1.24  % Formulas that are not ordinary clauses:
% 0.92/1.24  
% 0.92/1.24  ============================== end of process non-clausal formulas ===
% 0.92/1.24  
% 0.92/1.24  ============================== PROCESS INITIAL CLAUSES ===============
% 0.92/1.24  
% 0.92/1.24  ============================== PREDICATE ELIMINATION =================
% 0.92/1.24  1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.92/1.24  2 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__sup__iff_0) # label(axiom).  [assumption].
% 0.92/1.24  3 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom).  [assumption].
% 0.92/1.24  4 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom).  [assumption].
% 0.92/1.24  5 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__supE_1) # label(axiom).  [assumption].
% 0.92/1.24  6 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__supE_0) # label(axiom).  [assumption].
% 0.92/1.24  7 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__sup__iff_1) # label(axiom).  [assumption].
% 0.92/1.24  8 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom).  [assumption].
% 0.92/1.24  9 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom).  [assumption].
% 0.92/1.24  10 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom).  [assumption].
% 0.92/1.24  11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom).  [assumption].
% 0.92/1.24  12 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) # label(cls_sup__assoc_0) # label(axiom).  [assumption].
% 0.92/1.24  13 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A) # label(cls_sup__left__commute_0) # label(axiom).  [assumption].
% 0.92/1.24  14 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__supI_0) # label(axiom).  [assumption].
% 0.92/1.24  15 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) # label(cls_sup__ge1_0) # label(axiom).  [assumption].
% 0.92/1.24  16 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A) # label(cls_sup__ge2_0) # label(axiom).  [assumption].
% 0.92/1.24  17 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_sup__least_0) # label(axiom).  [assumption].
% 0.92/1.24  18 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__sup__iff_2) # label(axiom).  [assumption].
% 0.92/1.24  19 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = c_Lattices_Oupper__semilattice__class_Osup(C,B,A) # label(cls_sup__commute_0) # label(axiom).  [assumption].
% 0.92/1.24  20 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) = c_Lattices_Oupper__semilattice__class_Osup(B,C,A) # label(cls_sup__left__idem_0) # label(axiom).  [assumption].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,A)),C,tc_fun(D,A)).  [resolve(1,a,2,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)).  [resolve(1,a,3,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)).  [resolve(1,a,4,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(D,A)),C,tc_fun(D,A)).  [resolve(1,a,5,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = C | -c_lessequals(B,C,tc_fun(D,A)).  [resolve(1,a,8,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) != C | c_lessequals(B,C,tc_fun(D,A)).  [resolve(1,a,9,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = B | -c_lessequals(C,B,tc_fun(D,A)).  [resolve(1,a,10,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B.  [resolve(1,a,11,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,E,tc_fun(D,A)),tc_fun(D,A)).  [resolve(1,a,12,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(E,A)),tc_fun(E,A)).  [resolve(1,a,13,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)).  [resolve(1,a,14,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)).  [resolve(1,a,15,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)),tc_fun(D,A)).  [resolve(1,a,16,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)).  [resolve(1,a,19,a)].
% 0.92/1.24  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)).  [resolve(1,a,20,a)].
% 0.92/1.24  21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.92/1.24  Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat).  [resolve(21,a,2,a)].
% 0.92/1.24  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat).  [resolve(21,a,3,a)].
% 0.92/1.24  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat).  [resolve(21,a,4,a)].
% 0.92/1.24  Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat).  [resolve(21,a,5,a)].
% 0.92/1.24  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat).  [resolve(21,a,8,a)].
% 0.92/1.24  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat).  [resolve(21,a,9,a)].
% 0.92/1.24  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat).  [resolve(21,a,10,a)].
% 0.92/1.24  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A.  [resolve(21,a,11,a)].
% 0.92/1.24  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat).  [resolve(21,a,12,a)].
% 0.92/1.24  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),tc_nat).  [resolve(21,a,13,a)].
% 0.92/1.24  Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,C,tc_nat).  [resolve(21,a,14,a)].
% 0.92/1.24  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat).  [resolve(21,a,15,a)].
% 0.92/1.24  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat).  [resolve(21,a,16,a)].
% 0.92/1.24  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat).  [resolve(21,a,19,a)].
% 0.92/1.24  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat).  [resolve(21,a,20,a)].
% 0.92/1.24  22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.92/1.24  Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool).  [resolve(22,a,2,a)].
% 0.92/1.24  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool).  [resolve(22,a,3,a)].
% 0.92/1.24  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool).  [resolve(22,a,4,a)].
% 0.92/1.24  Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool).  [resolve(22,a,5,a)].
% 0.92/1.26  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool).  [resolve(22,a,8,a)].
% 0.92/1.26  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool).  [resolve(22,a,9,a)].
% 0.92/1.26  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool).  [resolve(22,a,10,a)].
% 0.92/1.26  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A.  [resolve(22,a,11,a)].
% 0.92/1.26  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool).  [resolve(22,a,12,a)].
% 0.92/1.26  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),tc_bool).  [resolve(22,a,13,a)].
% 0.92/1.26  Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool) | -c_lessequals(A,C,tc_bool).  [resolve(22,a,14,a)].
% 0.92/1.26  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool).  [resolve(22,a,15,a)].
% 0.92/1.26  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool).  [resolve(22,a,16,a)].
% 0.92/1.26  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool).  [resolve(22,a,19,a)].
% 0.92/1.26  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool).  [resolve(22,a,20,a)].
% 0.92/1.26  23 c_NS__Shared__Mirabelle_OIssues(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),E) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(A,c_Event_Obad,tc_Message_Oagent) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),V6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) # label(cls_A__authenticates__and__keydist__to__B_0) # label(axiom).  [assumption].
% 0.92/1.26  24 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].
% 0.92/1.26  25 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].
% 0.92/1.26  Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),A)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).  [resolve(23,a,24,b)].
% 0.92/1.26  Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),A),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg).  [resolve(23,a,25,b)].
% 0.92/1.26  26 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].
% 0.92/1.26  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(26,a,24,b)].
% 0.92/1.26  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(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(26,a,25,b)].
% 0.92/1.26  27 -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].
% 0.92/1.26  Derived: -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),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(C,D,v_sko__NS__Shared__Mirabelle__XIssues__def__1(C,D,c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),E)),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(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(D,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,D),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),V6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg).  [resolve(27,b,23,a)].
% 0.92/1.26  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(27,b,26,a)].
% 0.92/1.26  28 c_NS__Shared__Mirabelle_OIssues(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),E) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(A,c_Event_Obad,tc_Message_Oagent) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent) # label(cls_B__Issues__A_0) # label(axiom).  [assumption].
% 0.92/1.26  Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),A)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent).  [resolve(28,a,24,b)].
% 0.92/1.26  Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),A),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg).  [resolve(28,a,25,b)].
% 0.92/1.26  Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),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,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),A)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(A,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg).  [resolve(28,a,27,b)].
% 4.62/4.89  29 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom).  [assumption].
% 4.62/4.89  30 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom).  [assumption].
% 4.62/4.89  Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(29,a,30,a)].
% 4.62/4.89  
% 4.62/4.89  ============================== end predicate elimination =============
% 4.62/4.89  
% 4.62/4.89  Auto_denials:  (non-Horn, no changes).
% 4.62/4.89  
% 4.62/4.89  Term ordering decisions:
% 4.62/4.89  Function symbol KB weights:  tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. c_Message_Omsg_OKey=1. tc_nat=1. c_Message_Oagent_OSpy=1. c_Public_OshrK=1. tc_Message_Oagent=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Event_Obad=1. c_Message_Oagent_OServer=1. c_Message_OsymKeys=1. c_Not=1. v_NB=1. v_K=1. v_evs=1. v_A=1. v_B=1. tc_fun=1. hAPP=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_Event_Oevent_ONotes=1. c_List_Orev=1. c_Event_Oevent_OGets=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1=1. c_Message_Osko__Message__Xparts__singleton__1__1=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2=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_Message_Oparts=1. c_Message_Osynth=1. c_Message_Omsg_ONonce=1. c_Orderings_Obot__class_Obot=1. c_Message_Omsg_OAgent=1. tc_List_Olist=1. c_Event_Oused=1. c_Orderings_Otop__class_Otop=1. c_Message_OinvKey=1. c_Message_Omsg_OHash=1. c_Public_OpublicKey=1. c_Message_OkeysFor=1. c_fequal=1. c_Event_OinitState=1. c_Set_Oinsert=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Event_Oevent_OSays=1. c_List_Olist_OCons=1. c_List_Oappend=1. c_List_OtakeWhile=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_COMBK=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. v_sko__NS__Shared__Mirabelle__XIssues__def__1=1. c_List_Osko__List__XtakeWhile__cong__1__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1=1. c_COMBB=1. c_COMBC=1.
% 4.62/4.89  
% 4.62/4.89  ============================== end of process initial clauses ========
% 4.62/4.89  
% 4.62/4.89  ============================== CLAUSES FOR SEARCH ====================
% 4.62/4.89  
% 4.62/4.89  ============================== end of clauses for search =============
% 4.62/4.89  
% 4.62/4.89  ============================== SEARCH ================================
% 4.62/4.89  
% 4.62/4.89  % Starting search at 0.18 seconds.
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=43.000, iters=3415
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=36.000, iters=3355
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=35.000, iters=3386
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=33.000, iters=3367
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=32.000, iters=3341
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=31.000, iters=3345
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=30.000, iters=3362
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=29.000, iters=3343
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=28.000, iters=3391
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=27.000, iters=3460
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=26.000, iters=3350
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=25.000, iters=3345
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=24.000, iters=3348
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=23.000, iters=3390
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=22.000, iters=3359
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=21.000, iters=3333
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=20.000, iters=3525
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=19.000, iters=3381
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=18.000, iters=3355
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=17.000, iters=3336
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=16.000, iters=3346
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=15.000, iters=3376
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=14.000, iters=3337
% 4.62/4.89  
% 4.62/4.89  Low Water (keep): wt=13.000, iters=3334
% 4.62/4.89  
% 4.62/4.89  Low Water (displace): id=2659, wt=164.000
% 4.62/4.89  
% 4.62/4.89  Low Water (displace): id=2658, wt=158.000
% 4.62/4.89  
% 4.62/4.89  Low Water (displace): id=2677, wt=154.000
% 4.62/4.89  
% 4.62/4.89  Low Water (displace): id=2796, wt=115.000
% 4.62/4.89  
% 4.62/4.89  Low Water (displace): id=2797, wt=112.000
% 4.62/4.89  
% 4.62/4.89  Low Water (displace): id=2801, wt=111.000
% 4.62/4.89  
% 4.62/4.89  Low Water (displace): id=2802, wt=108.000
% 4.62/4.89  
% 4.62/4.89  Low Water (dispCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------