TSTP Solution File: SWV894-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV894-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n020.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 21:15:10 EDT 2022

% Result   : Timeout 300.05s 300.31s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV894-1 : TPTP v8.1.0. Released v4.1.0.
% 0.14/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 16:26:04 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.93/1.27  ============================== Prover9 ===============================
% 0.93/1.27  Prover9 (32) version 2009-11A, November 2009.
% 0.93/1.27  Process 2274 was started by sandbox2 on n020.cluster.edu,
% 0.93/1.27  Tue Jun 14 16:26:05 2022
% 0.93/1.27  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2119_n020.cluster.edu".
% 0.93/1.27  ============================== end of head ===========================
% 0.93/1.27  
% 0.93/1.27  ============================== INPUT =================================
% 0.93/1.27  
% 0.93/1.27  % Reading from file /tmp/Prover9_2119_n020.cluster.edu
% 0.93/1.27  
% 0.93/1.27  set(prolog_style_variables).
% 0.93/1.27  set(auto2).
% 0.93/1.27      % set(auto2) -> set(auto).
% 0.93/1.27      % set(auto) -> set(auto_inference).
% 0.93/1.27      % set(auto) -> set(auto_setup).
% 0.93/1.27      % set(auto_setup) -> set(predicate_elim).
% 0.93/1.27      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.93/1.27      % set(auto) -> set(auto_limits).
% 0.93/1.27      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.93/1.27      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.93/1.27      % set(auto) -> set(auto_denials).
% 0.93/1.27      % set(auto) -> set(auto_process).
% 0.93/1.27      % set(auto2) -> assign(new_constants, 1).
% 0.93/1.27      % set(auto2) -> assign(fold_denial_max, 3).
% 0.93/1.27      % set(auto2) -> assign(max_weight, "200.000").
% 0.93/1.27      % set(auto2) -> assign(max_hours, 1).
% 0.93/1.27      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.93/1.27      % set(auto2) -> assign(max_seconds, 0).
% 0.93/1.27      % set(auto2) -> assign(max_minutes, 5).
% 0.93/1.27      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.93/1.27      % set(auto2) -> set(sort_initial_sos).
% 0.93/1.27      % set(auto2) -> assign(sos_limit, -1).
% 0.93/1.27      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.93/1.27      % set(auto2) -> assign(max_megs, 400).
% 0.93/1.27      % set(auto2) -> assign(stats, some).
% 0.93/1.27      % set(auto2) -> clear(echo_input).
% 0.93/1.27      % set(auto2) -> set(quiet).
% 0.93/1.27      % set(auto2) -> clear(print_initial_clauses).
% 0.93/1.27      % set(auto2) -> clear(print_given).
% 0.93/1.27  assign(lrs_ticks,-1).
% 0.93/1.27  assign(sos_limit,10000).
% 0.93/1.27  assign(order,kbo).
% 0.93/1.27  set(lex_order_vars).
% 0.93/1.27  clear(print_given).
% 0.93/1.27  
% 0.93/1.27  % formulas(sos).  % not echoed (571 formulas)
% 0.93/1.27  
% 0.93/1.27  ============================== end of input ==========================
% 0.93/1.27  
% 0.93/1.27  % From the command line: assign(max_seconds, 300).
% 0.93/1.27  
% 0.93/1.27  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.93/1.27  
% 0.93/1.27  % Formulas that are not ordinary clauses:
% 0.93/1.27  
% 0.93/1.27  ============================== end of process non-clausal formulas ===
% 0.93/1.27  
% 0.93/1.27  ============================== PROCESS INITIAL CLAUSES ===============
% 0.93/1.27  
% 0.93/1.27  ============================== PREDICATE ELIMINATION =================
% 0.93/1.27  1 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom).  [assumption].
% 0.93/1.27  2 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = B | -c_lessequals(B,C,A) # label(cls_le__iff__inf_0) # label(axiom).  [assumption].
% 0.93/1.27  3 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) != B | c_lessequals(B,C,A) # label(cls_le__iff__inf_1) # label(axiom).  [assumption].
% 0.93/1.27  4 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = C | -c_lessequals(C,B,A) # label(cls_inf__absorb2_0) # label(axiom).  [assumption].
% 0.93/1.27  5 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = c_Lattices_Olower__semilattice__class_Oinf(C,B,A) # label(cls_inf__commute_0) # label(axiom).  [assumption].
% 0.93/1.27  6 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_le__infE_0) # label(axiom).  [assumption].
% 0.93/1.27  7 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A) # label(cls_le__infE_1) # label(axiom).  [assumption].
% 0.93/1.27  8 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_lessequals(B,D,A) # label(cls_le__infI1_0) # label(axiom).  [assumption].
% 0.93/1.27  9 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) = c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A) # label(cls_inf__left__commute_0) # label(axiom).  [assumption].
% 0.93/1.27  10 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_inf__assoc_0) # label(axiom).  [assumption].
% 0.93/1.27  11 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_lessequals(C,D,A) # label(cls_le__infI2_0) # label(axiom).  [assumption].
% 0.93/1.27  12 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_le__inf__iff_0) # label(axiom).  [assumption].
% 0.93/1.27  13 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A) # label(cls_le__inf__iff_1) # label(axiom).  [assumption].
% 0.93/1.27  14 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_inf__greatest_0) # label(axiom).  [assumption].
% 0.93/1.27  15 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__inf__iff_2) # label(axiom).  [assumption].
% 0.93/1.27  16 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__infI_0) # label(axiom).  [assumption].
% 0.93/1.27  17 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A) # label(cls_inf__le2_0) # label(axiom).  [assumption].
% 0.93/1.27  18 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A) # label(cls_inf__le1_0) # label(axiom).  [assumption].
% 0.93/1.27  19 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A) = c_Lattices_Olower__semilattice__class_Oinf(B,C,A) # label(cls_inf__left__idem_0) # label(axiom).  [assumption].
% 0.93/1.27  20 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,A) = B # label(cls_inf__idem_0) # label(axiom).  [assumption].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = B | -c_lessequals(B,C,tc_fun(D,A)).  [resolve(1,a,2,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) != B | c_lessequals(B,C,tc_fun(D,A)).  [resolve(1,a,3,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = C | -c_lessequals(C,B,tc_fun(D,A)).  [resolve(1,a,4,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_fun(D,A)).  [resolve(1,a,5,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,E,tc_fun(D,A)),tc_fun(D,A)).  [resolve(1,a,6,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(E,C,tc_fun(D,A)),tc_fun(D,A)).  [resolve(1,a,7,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)).  [resolve(1,a,8,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(E,A)),tc_fun(E,A)).  [resolve(1,a,9,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,E,tc_fun(D,A)),tc_fun(D,A)).  [resolve(1,a,10,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)).  [resolve(1,a,11,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)).  [resolve(1,a,14,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),C,tc_fun(D,A)).  [resolve(1,a,17,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),B,tc_fun(D,A)).  [resolve(1,a,18,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)).  [resolve(1,a,19,a)].
% 0.93/1.27  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,tc_fun(C,A)) = B.  [resolve(1,a,20,a)].
% 0.93/1.27  21 class_Lattices_Olower__semilattice(tc_nat) # label(clsarity_nat__Lattices_Olower__semilattice) # label(axiom).  [assumption].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = A | -c_lessequals(A,B,tc_nat).  [resolve(21,a,2,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) != A | c_lessequals(A,B,tc_nat).  [resolve(21,a,3,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = B | -c_lessequals(B,A,tc_nat).  [resolve(21,a,4,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_nat).  [resolve(21,a,5,a)].
% 0.93/1.27  Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat).  [resolve(21,a,6,a)].
% 0.93/1.27  Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_nat),tc_nat).  [resolve(21,a,7,a)].
% 0.93/1.27  Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) | -c_lessequals(A,C,tc_nat).  [resolve(21,a,8,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_nat),tc_nat).  [resolve(21,a,9,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat).  [resolve(21,a,10,a)].
% 0.93/1.27  Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat).  [resolve(21,a,11,a)].
% 0.93/1.27  Derived: c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat) | -c_lessequals(A,B,tc_nat).  [resolve(21,a,14,a)].
% 0.93/1.27  Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),B,tc_nat).  [resolve(21,a,17,a)].
% 0.93/1.27  Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),A,tc_nat).  [resolve(21,a,18,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat).  [resolve(21,a,19,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_nat) = A.  [resolve(21,a,20,a)].
% 0.93/1.27  22 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom).  [assumption].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = A | -c_lessequals(A,B,tc_bool).  [resolve(22,a,2,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) != A | c_lessequals(A,B,tc_bool).  [resolve(22,a,3,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = B | -c_lessequals(B,A,tc_bool).  [resolve(22,a,4,a)].
% 0.93/1.27  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_bool).  [resolve(22,a,5,a)].
% 0.93/1.27  Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool).  [resolve(22,a,6,a)].
% 0.93/1.29  Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_bool),tc_bool).  [resolve(22,a,7,a)].
% 0.93/1.29  Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_lessequals(A,C,tc_bool).  [resolve(22,a,8,a)].
% 0.93/1.29  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_bool),tc_bool).  [resolve(22,a,9,a)].
% 0.93/1.29  Derived: c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool).  [resolve(22,a,10,a)].
% 0.93/1.29  Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool).  [resolve(22,a,11,a)].
% 0.93/1.29  Derived: c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool) | -c_lessequals(A,B,tc_bool).  [resolve(22,a,14,a)].
% 0.93/1.29  Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),B,tc_bool).  [resolve(22,a,17,a)].
% 0.93/1.29  Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),A,tc_bool).  [resolve(22,a,18,a)].
% 0.93/1.29  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool).  [resolve(22,a,19,a)].
% 0.93/1.29  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_bool) = A.  [resolve(22,a,20,a)].
% 0.93/1.29  23 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.93/1.29  24 -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].
% 0.93/1.29  25 -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].
% 0.93/1.29  26 -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].
% 0.93/1.29  27 -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].
% 0.93/1.29  28 -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].
% 0.93/1.29  29 -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].
% 0.93/1.29  30 -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].
% 0.93/1.29  31 -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].
% 0.93/1.29  32 -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].
% 0.93/1.29  33 -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].
% 0.93/1.29  34 -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].
% 0.93/1.29  35 -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].
% 0.93/1.29  36 -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].
% 0.93/1.29  37 -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].
% 0.93/1.29  38 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom).  [assumption].
% 0.93/1.29  39 -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].
% 0.93/1.29  40 -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].
% 0.93/1.29  41 -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].
% 0.93/1.29  42 -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].
% 0.93/1.29  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(23,a,24,a)].
% 0.93/1.29  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(23,a,25,a)].
% 0.93/1.29  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(23,a,26,a)].
% 0.93/1.29  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(23,a,27,a)].
% 0.93/1.29  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(23,a,30,a)].
% 0.93/1.29  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(23,a,31,a)].
% 0.93/1.29  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(23,a,32,a)].
% 0.93/1.29  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(23,a,33,a)].
% 0.93/1.29  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(23,a,34,a)].
% 0.93/1.29  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(23,a,35,a)].
% 0.93/1.29  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B.  [resolve(23,a,38,a)].
% 0.93/1.29  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(23,a,39,a)].
% 0.93/1.29  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(23,a,40,a)].
% 0.93/1.29  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(23,a,41,a)].
% 0.93/1.29  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(23,a,42,a)].
% 0.93/1.29  43 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.93/1.29  Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat).  [resolve(43,a,24,a)].
% 0.93/1.29  Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat).  [resolve(43,a,25,a)].
% 0.93/1.29  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat).  [resolve(43,a,26,a)].
% 0.93/1.29  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat).  [resolve(43,a,27,a)].
% 0.93/1.29  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat).  [resolve(43,a,30,a)].
% 0.93/1.29  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat).  [resolve(43,a,31,a)].
% 0.93/1.29  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat).  [resolve(43,a,32,a)].
% 0.93/1.29  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(43,a,33,a)].
% 0.93/1.29  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat).  [resolve(43,a,34,a)].
% 0.93/1.29  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat).  [resolve(43,a,35,a)].
% 0.93/1.29  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A.  [resolve(43,a,38,a)].
% 0.93/1.29  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(43,a,39,a)].
% 0.93/1.29  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(43,a,40,a)].
% 0.93/1.29  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat).  [resolve(43,a,41,a)].
% 0.93/1.29  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(43,a,42,a)].
% 0.93/1.29  44 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.93/1.29  Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool).  [resolve(44,a,24,a)].
% 0.93/1.29  Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool).  [resolve(44,a,25,a)].
% 0.93/1.29  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool).  [resolve(44,a,26,a)].
% 0.93/1.29  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool).  [resolve(44,a,27,a)].
% 0.93/1.29  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool).  [resolve(44,a,30,a)].
% 0.93/1.29  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool).  [resolve(44,a,31,a)].
% 0.93/1.29  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool).  [resolve(44,a,32,a)].
% 0.93/1.29  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(44,a,33,a)].
% 1.81/2.08  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool).  [resolve(44,a,34,a)].
% 1.81/2.08  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool).  [resolve(44,a,35,a)].
% 1.81/2.08  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A.  [resolve(44,a,38,a)].
% 1.81/2.08  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(44,a,39,a)].
% 1.81/2.08  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(44,a,40,a)].
% 1.81/2.08  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool).  [resolve(44,a,41,a)].
% 1.81/2.08  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(44,a,42,a)].
% 1.81/2.08  45 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom).  [assumption].
% 1.81/2.08  46 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom).  [assumption].
% 1.81/2.08  Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(45,a,46,a)].
% 1.81/2.08  47 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom).  [assumption].
% 1.81/2.08  48 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom).  [assumption].
% 1.81/2.08  Derived: A = A.  [resolve(47,b,48,a)].
% 1.81/2.08  
% 1.81/2.08  ============================== end predicate elimination =============
% 1.81/2.08  
% 1.81/2.08  Auto_denials:  (non-Horn, no changes).
% 1.81/2.08  
% 1.81/2.08  Term ordering decisions:
% 1.81/2.08  Function symbol KB weights:  tc_bool=1. tc_nat=1. tc_Com_Ostate=1. tc_Com_Ocom=1. t_b=1. tc_Com_Opname=1. t_a=1. c_Com_Ocom_OBODY=1. c_Com_Obody=1. v_x=1. c_Com_Ocom_OSKIP=1. c_Hoare__Mirabelle_OMGT=1. v_Procs=1. v_G=1. tc_fun=1. hAPP=1. c_Com_Ocom_OWhile=1. c_Com_Ocom_OSemi=1. c_Com_Ocom_OAss=1. c_Option_Ooption_OSome=1. c_Orderings_Obot__class_Obot=1. tc_Hoare__Mirabelle_Otriple=1. c_Orderings_Otop__class_Otop=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_Option_Othe=1. c_Suc=1. tc_Option_Ooption=1. c_Option_Ooption_ONone=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_in=1. c_HOL_Ominus__class_Ominus=1. c_Com_Ocom_OCond=1. c_Com_Ocom_OCall=1. c_Com_Ocom_OLocal=1. c_Map_Odom=1. c_Set_Oimage=1. c_Set_Ovimage=1. c_Relation_OImage=1. c_Natural_Osko__Natural__Xevaln__elim__cases__6__1=1. c_COMBS=1. c_COMBB=1. v_sko__Hoare__Mirabelle__Xfinite__pointwise__1=1. c_COMBC=1. c_Com_Ocom_Ocom__rec=1. c_Com_Ocom_Ocom__case=1.
% 1.81/2.08  
% 1.81/2.08  ============================== end of process initial clauses ========
% 1.81/2.08  
% 1.81/2.08  ============================== CLAUSES FOR SEARCH ====================
% 1.81/2.08  
% 1.81/2.08  ============================== end of clauses for search =============
% 1.81/2.08  
% 1.81/2.08  ============================== SEARCH ================================
% 1.81/2.08  
% 1.81/2.08  % Starting search at 0.20 seconds.
% 1.81/2.08  
% 1.81/2.08  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 50 (0.00 of 0.45 sec).
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=199.000, iters=3354
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=193.000, iters=3333
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=170.000, iters=3362
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=144.000, iters=3427
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=138.000, iters=3389
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=134.000, iters=3360
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=110.000, iters=3529
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=100.000, iters=3435
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=74.000, iters=3619
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=59.000, iters=3420
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=57.000, iters=3532
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=54.000, iters=3498
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=50.000, iters=3408
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=49.000, iters=3387
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=47.000, iters=3400
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=46.000, iters=3379
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=45.000, iters=3432
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=43.000, iters=3479
% 1.81/2.08  
% 1.81/2.08  Low Water (keep): wt=42.000, iters=34Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------