TSTP Solution File: SWV840-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV840-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n004.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 21:15:00 EDT 2022

% Result   : Timeout 300.08s 300.33s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV840-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n004.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 : Wed Jun 15 04:10:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.85/1.15  ============================== Prover9 ===============================
% 0.85/1.15  Prover9 (32) version 2009-11A, November 2009.
% 0.85/1.15  Process 14194 was started by sandbox2 on n004.cluster.edu,
% 0.85/1.15  Wed Jun 15 04:10:09 2022
% 0.85/1.15  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14041_n004.cluster.edu".
% 0.85/1.15  ============================== end of head ===========================
% 0.85/1.15  
% 0.85/1.15  ============================== INPUT =================================
% 0.85/1.15  
% 0.85/1.15  % Reading from file /tmp/Prover9_14041_n004.cluster.edu
% 0.85/1.15  
% 0.85/1.15  set(prolog_style_variables).
% 0.85/1.15  set(auto2).
% 0.85/1.15      % set(auto2) -> set(auto).
% 0.85/1.15      % set(auto) -> set(auto_inference).
% 0.85/1.15      % set(auto) -> set(auto_setup).
% 0.85/1.15      % set(auto_setup) -> set(predicate_elim).
% 0.85/1.15      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.85/1.15      % set(auto) -> set(auto_limits).
% 0.85/1.15      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.85/1.15      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.85/1.15      % set(auto) -> set(auto_denials).
% 0.85/1.15      % set(auto) -> set(auto_process).
% 0.85/1.15      % set(auto2) -> assign(new_constants, 1).
% 0.85/1.15      % set(auto2) -> assign(fold_denial_max, 3).
% 0.85/1.15      % set(auto2) -> assign(max_weight, "200.000").
% 0.85/1.15      % set(auto2) -> assign(max_hours, 1).
% 0.85/1.15      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.85/1.15      % set(auto2) -> assign(max_seconds, 0).
% 0.85/1.15      % set(auto2) -> assign(max_minutes, 5).
% 0.85/1.15      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.85/1.15      % set(auto2) -> set(sort_initial_sos).
% 0.85/1.15      % set(auto2) -> assign(sos_limit, -1).
% 0.85/1.15      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.85/1.15      % set(auto2) -> assign(max_megs, 400).
% 0.85/1.15      % set(auto2) -> assign(stats, some).
% 0.85/1.15      % set(auto2) -> clear(echo_input).
% 0.85/1.15      % set(auto2) -> set(quiet).
% 0.85/1.15      % set(auto2) -> clear(print_initial_clauses).
% 0.85/1.15      % set(auto2) -> clear(print_given).
% 0.85/1.15  assign(lrs_ticks,-1).
% 0.85/1.15  assign(sos_limit,10000).
% 0.85/1.15  assign(order,kbo).
% 0.85/1.15  set(lex_order_vars).
% 0.85/1.15  clear(print_given).
% 0.85/1.15  
% 0.85/1.15  % formulas(sos).  % not echoed (469 formulas)
% 0.85/1.15  
% 0.85/1.15  ============================== end of input ==========================
% 0.85/1.15  
% 0.85/1.15  % From the command line: assign(max_seconds, 300).
% 0.85/1.15  
% 0.85/1.15  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.85/1.15  
% 0.85/1.15  % Formulas that are not ordinary clauses:
% 0.85/1.15  
% 0.85/1.15  ============================== end of process non-clausal formulas ===
% 0.85/1.15  
% 0.85/1.15  ============================== PROCESS INITIAL CLAUSES ===============
% 0.85/1.15  
% 0.85/1.15  ============================== PREDICATE ELIMINATION =================
% 0.85/1.15  1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.85/1.15  2 -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].
% 0.85/1.15  3 -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].
% 0.85/1.15  4 -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].
% 0.85/1.15  5 -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].
% 0.85/1.15  6 -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].
% 0.85/1.15  7 -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].
% 0.85/1.15  8 -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].
% 0.85/1.15  9 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom).  [assumption].
% 0.85/1.15  10 -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].
% 0.85/1.15  11 -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].
% 0.85/1.15  12 -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].
% 0.85/1.15  13 -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].
% 0.85/1.15  14 -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].
% 0.85/1.15  15 -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].
% 0.85/1.15  16 -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].
% 0.85/1.15  17 -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].
% 0.85/1.15  18 -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].
% 0.85/1.15  19 -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].
% 0.85/1.15  20 -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].
% 0.85/1.15  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,2,a)].
% 0.85/1.15  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,3,a)].
% 0.85/1.15  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,4,a)].
% 0.85/1.15  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,5,a)].
% 0.85/1.15  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,6,a)].
% 0.85/1.15  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B.  [resolve(1,a,9,a)].
% 0.85/1.15  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,10,a)].
% 0.85/1.15  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,11,a)].
% 0.85/1.15  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,12,a)].
% 0.85/1.15  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,13,a)].
% 0.85/1.15  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,14,a)].
% 0.85/1.15  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,15,a)].
% 0.85/1.15  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,16,a)].
% 0.85/1.15  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,17,a)].
% 0.85/1.15  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,18,a)].
% 0.85/1.15  21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.85/1.15  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,2,a)].
% 0.85/1.15  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,3,a)].
% 0.85/1.15  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,4,a)].
% 0.85/1.15  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat).  [resolve(21,a,5,a)].
% 0.85/1.15  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat).  [resolve(21,a,6,a)].
% 0.85/1.15  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A.  [resolve(21,a,9,a)].
% 0.85/1.15  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat).  [resolve(21,a,10,a)].
% 0.85/1.15  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,11,a)].
% 0.85/1.15  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat).  [resolve(21,a,12,a)].
% 0.85/1.15  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat).  [resolve(21,a,13,a)].
% 0.85/1.15  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat).  [resolve(21,a,14,a)].
% 0.85/1.15  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,15,a)].
% 0.85/1.15  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,16,a)].
% 0.85/1.15  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,17,a)].
% 0.85/1.15  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,18,a)].
% 0.85/1.15  22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.85/1.15  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,2,a)].
% 0.85/1.15  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,3,a)].
% 0.85/1.15  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,4,a)].
% 0.98/1.27  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool).  [resolve(22,a,5,a)].
% 0.98/1.27  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool).  [resolve(22,a,6,a)].
% 0.98/1.27  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A.  [resolve(22,a,9,a)].
% 0.98/1.27  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool).  [resolve(22,a,10,a)].
% 0.98/1.27  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,11,a)].
% 0.98/1.27  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool).  [resolve(22,a,12,a)].
% 0.98/1.27  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool).  [resolve(22,a,13,a)].
% 0.98/1.27  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool).  [resolve(22,a,14,a)].
% 0.98/1.27  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,15,a)].
% 0.98/1.27  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,16,a)].
% 0.98/1.27  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,17,a)].
% 0.98/1.27  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,18,a)].
% 0.98/1.27  23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom).  [assumption].
% 0.98/1.27  24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom).  [assumption].
% 0.98/1.27  25 -class_Orderings_Olinorder(A) | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A) = B # label(cls_Min__singleton_0) # label(axiom).  [assumption].
% 0.98/1.27  26 -class_Orderings_Olinorder(A) | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A) = B # label(cls_Max__singleton_0) # label(axiom).  [assumption].
% 0.98/1.27  Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(23,a,24,a)].
% 0.98/1.27  Derived: c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) = A.  [resolve(23,a,25,a)].
% 0.98/1.27  Derived: c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) = A.  [resolve(23,a,26,a)].
% 0.98/1.27  
% 0.98/1.27  ============================== end predicate elimination =============
% 0.98/1.27  
% 0.98/1.27  Auto_denials:  (non-Horn, no changes).
% 0.98/1.27  
% 0.98/1.27  Term ordering decisions:
% 0.98/1.27  Function symbol KB weights:  tc_bool=1. t_a=1. tc_nat=1. tc_Com_Ostate=1. tc_Com_Ocom=1. tc_Com_Opname=1. c_Com_Ocom_OBODY=1. v_x=1. c_Com_Obody=1. v_P=1. t_b=1. v_Q=1. c_Com_Ocom_OSKIP=1. v_R=1. t_c=1. c_Not=1. v_G=1. v_pn=1. tc_fun=1. hAPP=1. c_Com_Ocom_OWhile=1. c_Com_Ocom_OSemi=1. c_Collect=1. c_Complete__Lattice_OSup__class_OSup=1. c_The=1. c_Option_Ooption_OSome=1. c_Complete__Lattice_OInf__class_OInf=1. c_Nitpick_Osko__Nitpick__XEx1__def__1__3=1. v_sko__Hoare__Mirabelle__Xconseq1__1=1. v_sko__Hoare__Mirabelle__Xconseq1__2=1. v_sko__Hoare__Mirabelle__Xconseq2__1=1. v_sko__Hoare__Mirabelle__Xconseq2__2=1. c_Finite__Set_Olinorder__class_OMax=1. c_Finite__Set_Olinorder__class_OMin=1. c_Set_Ocontents=1. c_Orderings_Obot__class_Obot=1. tc_Hoare__Mirabelle_Otriple=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_Option_Othe=1. c_Suc=1. c_fequal=1. c_COMBI=1. tc_Option_Ooption=1. c_HOL_Ozero__class_Ozero=1. c_Option_Ooption_ONone=1. c_Set_Oinsert=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_in=1. c_HOL_Ominus__class_Ominus=1. c_Com_Ocom_OCond=1. c_COMBK=1. c_SetInterval_Oord__class_OatLeastAtMost=1. c_Com_Ocom_OCall=1. c_ComCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------