TSTP Solution File: SWV612-1 by Prover9---1109a

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV612-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n024.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 21:14:06 EDT 2022

% Result   : Timeout 300.06s 300.41s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV612-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 20:21:18 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.09/1.48  ============================== Prover9 ===============================
% 1.09/1.48  Prover9 (32) version 2009-11A, November 2009.
% 1.09/1.48  Process 7536 was started by sandbox on n024.cluster.edu,
% 1.09/1.48  Tue Jun 14 20:21:19 2022
% 1.09/1.48  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_7180_n024.cluster.edu".
% 1.09/1.48  ============================== end of head ===========================
% 1.09/1.48  
% 1.09/1.48  ============================== INPUT =================================
% 1.09/1.48  
% 1.09/1.48  % Reading from file /tmp/Prover9_7180_n024.cluster.edu
% 1.09/1.48  
% 1.09/1.48  set(prolog_style_variables).
% 1.09/1.48  set(auto2).
% 1.09/1.48      % set(auto2) -> set(auto).
% 1.09/1.48      % set(auto) -> set(auto_inference).
% 1.09/1.48      % set(auto) -> set(auto_setup).
% 1.09/1.48      % set(auto_setup) -> set(predicate_elim).
% 1.09/1.48      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.09/1.48      % set(auto) -> set(auto_limits).
% 1.09/1.48      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.09/1.48      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.09/1.48      % set(auto) -> set(auto_denials).
% 1.09/1.48      % set(auto) -> set(auto_process).
% 1.09/1.48      % set(auto2) -> assign(new_constants, 1).
% 1.09/1.48      % set(auto2) -> assign(fold_denial_max, 3).
% 1.09/1.48      % set(auto2) -> assign(max_weight, "200.000").
% 1.09/1.48      % set(auto2) -> assign(max_hours, 1).
% 1.09/1.48      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.09/1.48      % set(auto2) -> assign(max_seconds, 0).
% 1.09/1.48      % set(auto2) -> assign(max_minutes, 5).
% 1.09/1.48      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.09/1.48      % set(auto2) -> set(sort_initial_sos).
% 1.09/1.48      % set(auto2) -> assign(sos_limit, -1).
% 1.09/1.48      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.09/1.48      % set(auto2) -> assign(max_megs, 400).
% 1.09/1.48      % set(auto2) -> assign(stats, some).
% 1.09/1.48      % set(auto2) -> clear(echo_input).
% 1.09/1.48      % set(auto2) -> set(quiet).
% 1.09/1.48      % set(auto2) -> clear(print_initial_clauses).
% 1.09/1.48      % set(auto2) -> clear(print_given).
% 1.09/1.48  assign(lrs_ticks,-1).
% 1.09/1.48  assign(sos_limit,10000).
% 1.09/1.48  assign(order,kbo).
% 1.09/1.48  set(lex_order_vars).
% 1.09/1.48  clear(print_given).
% 1.09/1.48  
% 1.09/1.48  % formulas(sos).  % not echoed (895 formulas)
% 1.09/1.48  
% 1.09/1.48  ============================== end of input ==========================
% 1.09/1.48  
% 1.09/1.48  % From the command line: assign(max_seconds, 300).
% 1.09/1.48  
% 1.09/1.48  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.09/1.48  
% 1.09/1.48  % Formulas that are not ordinary clauses:
% 1.09/1.48  
% 1.09/1.48  ============================== end of process non-clausal formulas ===
% 1.09/1.48  
% 1.09/1.48  ============================== PROCESS INITIAL CLAUSES ===============
% 1.09/1.48  
% 1.09/1.48  ============================== PREDICATE ELIMINATION =================
% 1.09/1.48  1 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict) # label(axiom).  [assumption].
% 1.09/1.48  2 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(D,B,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__le__cancel__left__neg_0) # label(axiom).  [assumption].
% 1.09/1.48  3 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_lessequals(D,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__le__cancel__left__neg_1) # label(axiom).  [assumption].
% 1.09/1.48  4 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,B,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)) # label(cls_mult__le__cancel__left__pos_0) # label(axiom).  [assumption].
% 1.09/1.48  5 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_lessequals(C,A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__le__cancel__left__pos_1) # label(axiom).  [assumption].
% 1.09/1.48  6 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__neg__neg_0) # label(axiom).  [assumption].
% 1.09/1.48  7 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__less__cancel__right__disj_5) # label(axiom).  [assumption].
% 1.09/1.48  8 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)) # label(cls_mult__less__cancel__right__disj_4) # label(axiom).  [assumption].
% 1.09/1.48  9 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B)) # label(cls_mult__strict__right__mono__neg_0) # label(axiom).  [assumption].
% 1.09/1.48  10 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__less__cancel__left__disj_5) # label(axiom).  [assumption].
% 1.09/1.48  11 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__less__cancel__left__disj_4) # label(axiom).  [assumption].
% 1.09/1.48  12 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)) # label(cls_mult__strict__left__mono__neg_0) # label(axiom).  [assumption].
% 1.09/1.48  13 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__less__cancel__left__pos_1) # label(axiom).  [assumption].
% 1.09/1.48  14 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)) # label(cls_mult__less__cancel__left__pos_0) # label(axiom).  [assumption].
% 1.09/1.48  15 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__less__cancel__left__neg_1) # label(axiom).  [assumption].
% 1.09/1.48  16 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(D,B,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__less__cancel__left__neg_0) # label(axiom).  [assumption].
% 1.09/1.48  17 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__le__0__iff_0) # label(axiom).  [assumption].
% 1.09/1.48  18 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(C,B,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__le__0__iff_1) # label(axiom).  [assumption].
% 1.09/1.48  19 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__le__0__iff_2) # label(axiom).  [assumption].
% 1.09/1.48  20 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(C,B,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__le__0__iff_3) # label(axiom).  [assumption].
% 1.09/1.48  21 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,B,A))) # label(cls_zero__le__square_0) # label(axiom).  [assumption].
% 1.09/1.48  22 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_zero__le__mult__iff_4) # label(axiom).  [assumption].
% 1.09/1.48  23 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_zero__le__mult__iff_5) # label(axiom).  [assumption].
% 1.09/1.48  24 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) # label(cls_zero__le__mult__iff_0) # label(axiom).  [assumption].
% 1.09/1.48  25 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(C,B,A))) # label(cls_zero__le__mult__iff_1) # label(axiom).  [assumption].
% 1.09/1.48  26 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) # label(cls_zero__le__mult__iff_2) # label(axiom).  [assumption].
% 1.09/1.48  27 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(C,B,A))) # label(cls_zero__le__mult__iff_3) # label(axiom).  [assumption].
% 1.09/1.48  28 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) # label(cls_mult__less__cancel__left__disj_0) # label(axiom).  [assumption].
% 1.09/1.48  29 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(D,B,A))) # label(cls_mult__less__cancel__left__disj_3) # label(axiom).  [assumption].
% 1.09/1.48  30 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,A),A),c_HOL_Otimes__class_Otimes(D,B,A))) # label(cls_mult__less__cancel__right__disj_0) # label(axiom).  [assumption].
% 1.09/1.48  31 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,D,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) # label(cls_mult__less__cancel__right__disj_3) # label(axiom).  [assumption].
% 1.09/1.48  32 -class_Ring__and__Field_Oordered__ring__strict(A) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,B,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_not__square__less__zero_0) # label(axiom).  [assumption].
% 1.09/1.48  33 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__le__0__iff_4) # label(axiom).  [assumption].
% 1.09/1.48  34 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__le__0__iff_5) # label(axiom).  [assumption].
% 1.09/1.48  35 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(D,B,A))) # label(cls_mult__less__cancel__left__disj_1) # label(axiom).  [assumption].
% 1.09/1.48  36 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) # label(cls_mult__less__cancel__left__disj_2) # label(axiom).  [assumption].
% 1.09/1.48  37 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,D,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) # label(cls_mult__less__cancel__right__disj_1) # label(axiom).  [assumption].
% 1.09/1.48  38 -class_Ring__and__Field_Oordered__ring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,A),A),c_HOL_Otimes__class_Otimes(D,B,A))) # label(cls_mult__less__cancel__right__disj_2) # label(axiom).  [assumption].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,2,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(C,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,3,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)).  [resolve(1,a,4,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(1,a,5,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,6,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,7,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)).  [resolve(1,a,8,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,10,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(1,a,11,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)).  [resolve(1,a,14,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,16,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,17,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,18,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,19,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,20,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,A,tc_Int_Oint))).  [resolve(1,a,21,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(1,a,22,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,23,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint))).  [resolve(1,a,24,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint))).  [resolve(1,a,25,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint))).  [resolve(1,a,26,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint))).  [resolve(1,a,27,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))).  [resolve(1,a,28,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint))).  [resolve(1,a,29,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint))).  [resolve(1,a,30,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))).  [resolve(1,a,31,a)].
% 1.09/1.48  Derived: -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,32,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(1,a,33,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(1,a,34,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint))).  [resolve(1,a,35,a)].
% 1.09/1.48  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))).  [resolve(1,a,36,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))).  [resolve(1,a,37,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint))).  [resolve(1,a,38,a)].
% 1.09/1.52  39 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) # label(clsarity_nat__Ring__and__Field_Oordered__semiring__strict) # label(axiom).  [assumption].
% 1.09/1.52  40 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,B,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) # label(cls_mult__left__le__imp__le_0) # label(axiom).  [assumption].
% 1.09/1.52  41 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,D,A),A),c_HOL_Otimes__class_Otimes(C,D,A))) # label(cls_mult__right__le__imp__le_0) # label(axiom).  [assumption].
% 1.09/1.52  42 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,E,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),E)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),D)) # label(cls_mult__strict__mono_0) # label(axiom).  [assumption].
% 1.09/1.52  43 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) # label(cls_mult__less__imp__less__left_0) # label(axiom).  [assumption].
% 1.09/1.52  44 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),A),c_HOL_Otimes__class_Otimes(C,D,A))) # label(cls_mult__less__imp__less__right_0) # label(axiom).  [assumption].
% 1.09/1.52  45 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__pos__pos_0) # label(axiom).  [assumption].
% 1.09/1.52  46 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(C,B,A))) # label(cls_zero__less__mult__pos_0) # label(axiom).  [assumption].
% 1.09/1.52  47 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) # label(cls_zero__less__mult__pos2_0) # label(axiom).  [assumption].
% 1.09/1.52  48 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),D)) # label(cls_mult__strict__right__mono_0) # label(axiom).  [assumption].
% 1.09/1.52  49 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D)) # label(cls_mult__strict__left__mono_0) # label(axiom).  [assumption].
% 1.09/1.52  50 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__neg__pos_0) # label(axiom).  [assumption].
% 1.09/1.52  51 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__pos__neg_0) # label(axiom).  [assumption].
% 1.09/1.52  52 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)) # label(cls_mult__pos__neg2_0) # label(axiom).  [assumption].
% 1.09/1.52  53 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,E,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),E)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),D)) # label(cls_mult__strict__mono_H_0) # label(axiom).  [assumption].
% 1.09/1.52  54 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,E,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),E)) | -hBOOL(hAPP(c_lessequals(B,A),D)) # label(cls_mult__le__less__imp__less_0) # label(axiom).  [assumption].
% 1.09/1.52  55 -class_Ring__and__Field_Oordered__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,E,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(C,A),E)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),D)) # label(cls_mult__less__le__imp__less_0) # label(axiom).  [assumption].
% 1.09/1.52  Derived: hBOOL(hAPP(c_lessequals(A,tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(C,A,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat))).  [resolve(39,a,40,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_lessequals(A,tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(B,C,tc_nat))).  [resolve(39,a,41,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).  [resolve(39,a,42,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,A,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat))).  [resolve(39,a,43,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(B,C,tc_nat))).  [resolve(39,a,44,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(39,a,45,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(B,A,tc_nat))).  [resolve(39,a,46,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat))).  [resolve(39,a,47,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).  [resolve(39,a,48,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)).  [resolve(39,a,49,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).  [resolve(39,a,50,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(39,a,51,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).  [resolve(39,a,53,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),D)) | -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).  [resolve(39,a,54,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).  [resolve(39,a,55,a)].
% 1.09/1.52  56 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict) # label(axiom).  [assumption].
% 1.09/1.52  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint))).  [resolve(56,a,41,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),C)).  [resolve(56,a,42,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint))).  [resolve(56,a,43,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint))).  [resolve(56,a,44,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(56,a,45,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint))).  [resolve(56,a,46,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint))).  [resolve(56,a,47,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(56,a,50,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(56,a,51,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),C)).  [resolve(56,a,53,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),D)) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),C)).  [resolve(56,a,54,a)].
% 1.09/1.52  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),C)).  [resolve(56,a,55,a)].
% 1.09/1.57  57 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom).  [assumption].
% 1.09/1.57  58 -class_Orderings_Olinorder(A) | -hBOOL(hAPP(c_lessequals(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) # label(cls_linorder__not__le_1) # label(axiom).  [assumption].
% 1.09/1.57  59 -class_Orderings_Olinorder(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_lessequals(C,A),B)) # label(cls_linorder__not__le_0) # label(axiom).  [assumption].
% 1.09/1.57  60 -class_Orderings_Olinorder(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) # label(cls_linorder__not__less_0) # label(axiom).  [assumption].
% 1.09/1.57  61 -class_Orderings_Olinorder(A) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_lessequals(C,A),B)) # label(cls_linorder__not__less_1) # label(axiom).  [assumption].
% 1.09/1.57  62 -class_Orderings_Olinorder(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B)) | hBOOL(hAPP(c_lessequals(B,A),B)) # label(cls_linorder__antisym__conv1_1) # label(axiom).  [assumption].
% 1.09/1.57  63 -class_Orderings_Olinorder(A) | -hBOOL(hAPP(c_lessequals(B,A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B)) # label(cls_linorder__antisym__conv2_1) # label(axiom).  [assumption].
% 1.09/1.57  64 -class_Orderings_Olinorder(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_lessequals(C,A),B)) # label(cls_not__leE_0) # label(axiom).  [assumption].
% 1.09/1.57  65 -class_Orderings_Olinorder(A) | c_SetInterval_Oord__class_OlessThan(B,A) != c_SetInterval_Oord__class_OlessThan(C,A) | B = C # label(cls_lessThan__eq__iff_0) # label(axiom).  [assumption].
% 1.09/1.57  66 -class_Orderings_Olinorder(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) | C = B # label(cls_linorder__neqE_0) # label(axiom).  [assumption].
% 1.09/1.57  67 -class_Orderings_Olinorder(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | C = B | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) # label(cls_linorder__less__linear_0) # label(axiom).  [assumption].
% 1.09/1.57  68 -class_Orderings_Olinorder(A) | B = C | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) # label(cls_linorder__antisym__conv3_0) # label(axiom).  [assumption].
% 1.09/1.57  69 -class_Orderings_Olinorder(A) | B = C | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) # label(cls_not__less__iff__gr__or__eq_0) # label(axiom).  [assumption].
% 1.09/1.57  70 -class_Orderings_Olinorder(A) | B = C | -hBOOL(hAPP(c_lessequals(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) # label(cls_linorder__antisym__conv1_0) # label(axiom).  [assumption].
% 1.09/1.57  71 -class_Orderings_Olinorder(A) | B = C | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_lessequals(B,A),C)) # label(cls_linorder__antisym__conv2_0) # label(axiom).  [assumption].
% 1.09/1.57  72 -class_Orderings_Olinorder(A) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B)) # label(cls_linorder__neq__iff_1) # label(axiom).  [assumption].
% 1.09/1.57  73 -class_Orderings_Olinorder(A) | -class_Int_Onumber(A) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(C,A))) | -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(B,A))) # label(cls_le__number__of__eq__not__less_0) # label(axiom).  [assumption].
% 1.09/1.57  74 -class_Orderings_Olinorder(A) | -class_Int_Onumber(A) | hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(C,A))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(B,A))) # label(cls_le__number__of__eq__not__less_1) # label(axiom).  [assumption].
% 1.09/1.57  75 -class_Orderings_Olinorder(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | hBOOL(hAPP(c_lessequals(C,A),B)) # label(cls_linorder__linear_0) # label(axiom).  [assumption].
% 1.09/1.57  76 -class_Orderings_Olinorder(A) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) # label(cls_not__less__iff__gr__or__eq_1) # label(axiom).  [assumption].
% 1.09/1.64  Derived: -hBOOL(hAPP(c_lessequals(A,tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),A)).  [resolve(57,a,58,a)].
% 1.09/1.64  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)) | hBOOL(hAPP(c_lessequals(B,tc_nat),A)).  [resolve(57,a,59,a)].
% 1.09/1.64  Derived: c_SetInterval_Oord__class_OlessThan(A,tc_nat) != c_SetInterval_Oord__class_OlessThan(B,tc_nat) | A = B.  [resolve(57,a,65,a)].
% 1.09/1.64  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),A)) | B = A.  [resolve(57,a,66,a)].
% 1.09/1.64  Derived: A = B | -hBOOL(hAPP(c_lessequals(A,tc_nat),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).  [resolve(57,a,70,a)].
% 1.09/1.64  Derived: -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).  [resolve(57,a,72,a)].
% 1.09/1.64  Derived: hBOOL(hAPP(c_lessequals(A,tc_nat),B)) | hBOOL(hAPP(c_lessequals(B,tc_nat),A)).  [resolve(57,a,75,a)].
% 1.09/1.64  Derived: -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),A)).  [resolve(57,a,76,a)].
% 1.09/1.64  77 class_Orderings_Olinorder(tc_Int_Oint) # label(clsarity_Int__Oint__Orderings_Olinorder) # label(axiom).  [assumption].
% 1.09/1.64  Derived: -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),A)).  [resolve(77,a,58,a)].
% 1.09/1.64  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),A)).  [resolve(77,a,59,a)].
% 1.09/1.64  Derived: c_SetInterval_Oord__class_OlessThan(A,tc_Int_Oint) != c_SetInterval_Oord__class_OlessThan(B,tc_Int_Oint) | A = B.  [resolve(77,a,65,a)].
% 1.09/1.64  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),A)) | B = A.  [resolve(77,a,66,a)].
% 1.09/1.64  Derived: A = B | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)).  [resolve(77,a,70,a)].
% 1.09/1.64  Derived: -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),A)).  [resolve(77,a,72,a)].
% 1.09/1.64  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),A)).  [resolve(77,a,75,a)].
% 1.09/1.64  Derived: -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),A)).  [resolve(77,a,76,a)].
% 1.09/1.64  78 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) # label(clsarity_nat__Ring__and__Field_Ocomm__semiring__1) # label(axiom).  [assumption].
% 1.09/1.64  79 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,C,A) = c_HOL_Otimes__class_Otimes(C,B,A) # label(cls_class__semiring_Osemiring__rules_I7_J_0) # label(axiom).  [assumption].
% 1.09/1.64  80 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,C,A) = c_HOL_Otimes__class_Otimes(C,B,A) # label(cls_class__semiring_Omul__c_0) # label(axiom).  [assumption].
% 1.09/1.64  81 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)) = c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A) # label(cls_class__semiring_Osemiring__rules_I35_J_0) # label(axiom).  [assumption].
% 1.09/1.64  82 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)) = c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A) # label(cls_class__semiring_Opwr__Suc_0) # label(axiom).  [assumption].
% 1.09/1.64  83 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_dvd__triv__left_0) # label(axiom).  [assumption].
% 1.09/1.64  84 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,B,A),A) # label(cls_dvd__triv__right_0) # label(axiom).  [assumption].
% 1.09/1.64  85 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_class__semiring_Omul__0_0) # label(axiom).  [assumption].
% 1.09/1.64  86 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_class__semiring_Osemiring__rules_I10_J_0) # label(axiom).  [assumption].
% 1.09/1.64  87 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_class__semiring_Osemiring__rules_I9_J_0) # label(axiom).  [assumption].
% 1.09/1.64  88 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ozero__class_Ozero(A),A) # label(cls_dvd__0__right_0) # label(axiom).  [assumption].
% 1.09/1.64  89 -class_Ring__and__Field_Ocomm__semiring__1(A) | B = c_HOL_Ozero__class_Ozero(A) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(A),B,A) # label(cls_dvd__0__left_0) # label(axiom).  [assumption].
% 1.09/1.64  90 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A) # label(cls_class__semiring_Osemiring__rules_I13_J_0) # label(axiom).  [assumption].
% 1.09/1.64  91 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(D,E,A),A),A) # label(cls_class__semiring_Osemiring__rules_I14_J_0) # label(axiom).  [assumption].
% 1.09/1.64  92 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) = c_HOL_Otimes__class_Otimes(D,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),E,A),A) # label(cls_class__semiring_Osemiring__rules_I15_J_0) # label(axiom).  [assumption].
% 1.09/1.64  93 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,B,A) # label(cls_dvd__refl_0) # label(axiom).  [assumption].
% 1.09/1.64  94 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) # label(cls_dvd__trans_0) # label(axiom).  [assumption].
% 1.09/1.64  95 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) # label(cls_dvd__mult_0) # label(axiom).  [assumption].
% 1.09/1.64  96 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,A) # label(cls_dvd__mult2_0) # label(axiom).  [assumption].
% 1.09/1.64  97 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,D,A),C,A) # label(cls_dvd__mult__left_0) # label(axiom).  [assumption].
% 1.09/1.64  98 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(D,B,A),C,A) # label(cls_dvd__mult__right_0) # label(axiom).  [assumption].
% 1.09/1.64  99 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),B,A) # label(cls_one__dvd_0) # label(axiom).  [assumption].
% 1.09/1.64  100 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A) = B # label(cls_class__semiring_Omul__1_0) # label(axiom).  [assumption].
% 1.09/1.64  101 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A) = B # label(cls_class__semiring_Osemiring__rules_I12_J_0) # label(axiom).  [assumption].
% 1.09/1.64  102 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A) = B # label(cls_class__semiring_Osemiring__rules_I11_J_0) # label(axiom).  [assumption].
% 1.09/1.64  103 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,D,A),C,A) # label(cls_class__semiring_Osemiring__rules_I16_J_0) # label(axiom).  [assumption].
% 1.09/1.64  104 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_class__semiring_Osemiring__rules_I17_J_0) # label(axiom).  [assumption].
% 1.09/1.64  105 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A) # label(cls_class__semiring_Osemiring__rules_I18_J_0) # label(axiom).  [assumption].
% 1.09/1.64  106 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A) = c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(B,D,A),A) # label(cls_class__semiring_Osemiring__rules_I19_J_0) # label(axiom).  [assumption].
% 1.09/1.64  107 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A) # label(cls_class__semiring_Omul__a_0) # label(axiom).  [assumption].
% 1.09/1.64  108 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(B,A),C),hAPP(c_Power_Opower__class_Opower(B,A),D),A) | -hBOOL(hAPP(c_lessequals(C,tc_nat),D)) # label(cls_le__imp__power__dvd_0) # label(axiom).  [assumption].
% 1.09/1.64  109 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) # label(cls_dvd__power_0) # label(axiom).  [assumption].
% 1.09/1.64  110 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),A),D) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(B,A),D),hAPP(c_Power_Opower__class_Opower(C,A),D),A) # label(cls_class__semiring_Opwr__mul_0) # label(axiom).  [assumption].
% 1.09/1.64  111 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(B,A),C),A),D) = hAPP(c_Power_Opower__class_Opower(B,A),c_HOL_Otimes__class_Otimes(C,D,tc_nat)) # label(cls_class__semiring_Opwr__pwr_0) # label(axiom).  [assumption].
% 1.09/1.64  112 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(B,A),C),hAPP(c_Power_Opower__class_Opower(D,A),C),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) # label(cls_dvd__power__same_0) # label(axiom).  [assumption].
% 1.09/1.64  113 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A) = hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)) # label(cls_class__semiring_Osemiring__rules_I27_J_0) # label(axiom).  [assumption].
% 1.09/1.64  114 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(B,A),C),B,A) = hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)) # label(cls_class__semiring_Osemiring__rules_I28_J_0) # label(axiom).  [assumption].
% 1.09/1.64  115 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(B,A),C),hAPP(c_Power_Opower__class_Opower(D,A),E),A) | -hBOOL(hAPP(c_lessequals(C,tc_nat),E)) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) # label(cls_dvd__power__le_0) # label(axiom).  [assumption].
% 1.09/1.64  116 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(C,E,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) # label(cls_mult__dvd__mono_0) # label(axiom).  [assumption].
% 1.09/1.64  117 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(B,A),C),D,A) | -hBOOL(hAPP(c_lessequals(C,tc_nat),E)) | -c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(B,A),E),D,A) # label(cls_power__le__dvd_0) # label(axiom).  [assumption].
% 1.09/1.64  118 -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),A),B),A) # label(cls_dvd__power_1) # label(axiom).  [assumption].
% 1.09/1.64  119 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(A) # label(cls_class__semiring_Opwr__0_0) # label(axiom).  [assumption].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_nat) = c_HOL_Otimes__class_Otimes(B,A,tc_nat).  [resolve(78,a,79,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Suc(B)) = c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat).  [resolve(78,a,81,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).  [resolve(78,a,83,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,A,tc_nat),tc_nat).  [resolve(78,a,84,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(78,a,85,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(78,a,86,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).  [resolve(78,a,88,a)].
% 1.09/1.64  Derived: A = c_HOL_Ozero__class_Ozero(tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).  [resolve(78,a,89,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(B,D,tc_nat),tc_nat).  [resolve(78,a,90,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat),tc_nat).  [resolve(78,a,91,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_nat),D,tc_nat),tc_nat).  [resolve(78,a,92,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,A,tc_nat).  [resolve(78,a,93,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).  [resolve(78,a,94,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).  [resolve(78,a,95,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).  [resolve(78,a,96,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,C,tc_nat),B,tc_nat).  [resolve(78,a,97,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(C,A,tc_nat),B,tc_nat).  [resolve(78,a,98,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat).  [resolve(78,a,99,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat) = A.  [resolve(78,a,100,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = A.  [resolve(78,a,101,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_nat),C,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,C,tc_nat),B,tc_nat).  [resolve(78,a,103,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_nat),C,tc_nat) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat).  [resolve(78,a,104,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_nat),C,tc_nat).  [resolve(78,a,105,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat).  [resolve(78,a,106,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),hAPP(c_Power_Opower__class_Opower(A,tc_nat),C),tc_nat) | -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).  [resolve(78,a,108,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)).  [resolve(78,a,109,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),C) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_nat),C),hAPP(c_Power_Opower__class_Opower(B,tc_nat),C),tc_nat).  [resolve(78,a,110,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),C) = hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_HOL_Otimes__class_Otimes(B,C,tc_nat)).  [resolve(78,a,111,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),hAPP(c_Power_Opower__class_Opower(C,tc_nat),B),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).  [resolve(78,a,112,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat) = hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Suc(B)).  [resolve(78,a,113,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),A,tc_nat) = hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Suc(B)).  [resolve(78,a,114,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),hAPP(c_Power_Opower__class_Opower(C,tc_nat),D),tc_nat) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).  [resolve(78,a,115,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).  [resolve(78,a,116,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),C,tc_nat) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_nat),D),C,tc_nat).  [resolve(78,a,117,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_nat).  [resolve(78,a,119,a)].
% 1.09/1.64  120 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) # label(axiom).  [assumption].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint) = c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint).  [resolve(120,a,79,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Suc(B)) = c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint).  [resolve(120,a,81,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint).  [resolve(120,a,83,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,A,tc_Int_Oint),tc_Int_Oint).  [resolve(120,a,84,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),A,tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(120,a,85,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(120,a,86,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint).  [resolve(120,a,88,a)].
% 1.09/1.64  Derived: A = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Int_Oint),A,tc_Int_Oint).  [resolve(120,a,89,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint),tc_Int_Oint) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,D,tc_Int_Oint),tc_Int_Oint).  [resolve(120,a,90,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint),tc_Int_Oint) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint),tc_Int_Oint),tc_Int_Oint).  [resolve(120,a,91,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint),tc_Int_Oint) = c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),D,tc_Int_Oint),tc_Int_Oint).  [resolve(120,a,92,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,A,tc_Int_Oint).  [resolve(120,a,93,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Int_Oint).  [resolve(120,a,94,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint),tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Int_Oint).  [resolve(120,a,95,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint),tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint).  [resolve(120,a,96,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint),B,tc_Int_Oint).  [resolve(120,a,97,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint),B,tc_Int_Oint).  [resolve(120,a,98,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Int_Oint),A,tc_Int_Oint).  [resolve(120,a,99,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Int_Oint),A,tc_Int_Oint) = A.  [resolve(120,a,100,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint) = A.  [resolve(120,a,101,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),C,tc_Int_Oint) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint),B,tc_Int_Oint).  [resolve(120,a,103,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),C,tc_Int_Oint) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint),tc_Int_Oint).  [resolve(120,a,104,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint),tc_Int_Oint) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),C,tc_Int_Oint).  [resolve(120,a,105,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint),tc_Int_Oint) = c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint),tc_Int_Oint).  [resolve(120,a,106,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C),tc_Int_Oint) | -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).  [resolve(120,a,108,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)).  [resolve(120,a,109,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),C) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C),hAPP(c_Power_Opower__class_Opower(B,tc_Int_Oint),C),tc_Int_Oint).  [resolve(120,a,110,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),C) = hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,C,tc_nat)).  [resolve(120,a,111,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),B),tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Int_Oint).  [resolve(120,a,112,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint) = hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Suc(B)).  [resolve(120,a,113,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),A,tc_Int_Oint) = hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Suc(B)).  [resolve(120,a,114,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),D),tc_Int_Oint) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Int_Oint).  [resolve(120,a,115,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint),tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Int_Oint).  [resolve(120,a,116,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),C,tc_Int_Oint) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),D),C,tc_Int_Oint).  [resolve(120,a,117,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_Int_Oint).  [resolve(120,a,119,a)].
% 1.09/1.64  121 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) # label(axiom).  [assumption].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(B,A,tc_Complex_Ocomplex).  [resolve(121,a,79,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_Suc(B)) = c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex).  [resolve(121,a,81,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(121,a,83,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(121,a,84,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(121,a,85,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(121,a,86,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(121,a,88,a)].
% 1.09/1.64  Derived: A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(121,a,89,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(121,a,90,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(121,a,91,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(121,a,92,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,A,tc_Complex_Ocomplex).  [resolve(121,a,93,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Complex_Ocomplex).  [resolve(121,a,94,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Complex_Ocomplex).  [resolve(121,a,95,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex).  [resolve(121,a,96,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(121,a,97,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(C,A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(121,a,98,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(121,a,99,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = A.  [resolve(121,a,100,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(121,a,101,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(121,a,103,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(121,a,104,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex).  [resolve(121,a,105,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(121,a,106,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),C),tc_Complex_Ocomplex) | -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).  [resolve(121,a,108,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)).  [resolve(121,a,109,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),C) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),C),hAPP(c_Power_Opower__class_Opower(B,tc_Complex_Ocomplex),C),tc_Complex_Ocomplex).  [resolve(121,a,110,a)].
% 1.09/1.64  Derived: hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex),C) = hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,C,tc_nat)).  [resolve(121,a,111,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),hAPP(c_Power_Opower__class_Opower(C,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Complex_Ocomplex).  [resolve(121,a,112,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_Suc(B)).  [resolve(121,a,113,a)].
% 1.09/1.64  Derived: c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),A,tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_Suc(B)).  [resolve(121,a,114,a)].
% 1.09/1.64  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),hAPP(c_Power_Opower__class_Opower(C,tc_Complex_Ocomplex),D),tc_Complex_Ocomplex) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Complex_Ocomplex).  [resolve(121,a,115,a)].
% 1.09/1.66  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Complex_Ocomplex).  [resolve(121,a,116,a)].
% 1.09/1.66  Derived: c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),C,tc_Complex_Ocomplex) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),D),C,tc_Complex_Ocomplex).  [resolve(121,a,117,a)].
% 1.09/1.66  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(121,a,119,a)].
% 1.09/1.66  122 class_Power_Opower(tc_nat) # label(clsarity_nat__Power_Opower) # label(axiom).  [assumption].
% 1.09/1.66  123 -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)) = c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A) # label(cls_power__Suc_0) # label(axiom).  [assumption].
% 1.09/1.66  124 -class_Ring__and__Field_Osemiring__0(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_Suc(B)) = c_HOL_Ozero__class_Ozero(A) # label(cls_power__0__Suc_0) # label(axiom).  [assumption].
% 1.09/1.66  125 -class_Ring__and__Field_Ozero__neq__one(A) | -class_Ring__and__Field_Ono__zero__divisors(A) | -class_Ring__and__Field_Omult__zero(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat)) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_power__eq__0__iff__number__of_0) # label(axiom).  [assumption].
% 1.09/1.66  126 -class_Ring__and__Field_Ozero__neq__one(A) | -class_Ring__and__Field_Ono__zero__divisors(A) | -class_Ring__and__Field_Omult__zero(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(B,tc_nat)) = c_HOL_Ozero__class_Ozero(A) | c_Int_Onumber__class_Onumber__of(B,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) # label(cls_power__eq__0__iff__number__of_2) # label(axiom).  [assumption].
% 1.09/1.66  127 -class_Ring__and__Field_Osemiring__0(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(B,tc_nat)) = c_HOL_Ozero__class_Ozero(A) | c_Int_Onumber__class_Onumber__of(B,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) # label(cls_power__0__left__number__of_1) # label(axiom).  [assumption].
% 1.09/1.66  128 -class_Ring__and__Field_Ozero__neq__one(A) | -class_Ring__and__Field_Ono__zero__divisors(A) | -class_Ring__and__Field_Omult__zero(A) | -class_Power_Opower(A) | c_Int_Onumber__class_Onumber__of(B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hAPP(c_Power_Opower__class_Opower(C,A),c_Int_Onumber__class_Onumber__of(B,tc_nat)) != c_HOL_Ozero__class_Ozero(A) # label(cls_power__eq__0__iff__number__of_1) # label(axiom).  [assumption].
% 1.09/1.66  129 -class_Ring__and__Field_Osemiring__0(A) | -class_Power_Opower(A) | c_Int_Onumber__class_Onumber__of(B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(B,tc_nat)) = c_HOL_Oone__class_Oone(A) # label(cls_power__0__left__number__of_0) # label(axiom).  [assumption].
% 1.09/1.66  130 -class_Ring__and__Field_Osemiring__0(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(A) # label(cls_power__0__left_0) # label(axiom).  [assumption].
% 1.09/1.66  131 -class_Ring__and__Field_Osemiring__0(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),B) = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(tc_nat) # label(cls_power__0__left_1) # label(axiom).  [assumption].
% 1.09/1.66  132 -class_Ring__and__Field_Ozero__neq__one(A) | -class_Ring__and__Field_Ono__zero__divisors(A) | -class_Ring__and__Field_Omult__zero(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),B) = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(tc_nat) # label(cls_power__eq__0__iff_2) # label(axiom).  [assumption].
% 1.09/1.67  133 -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(A) # label(cls_power__0_0) # label(axiom).  [assumption].
% 1.09/1.67  134 -class_Ring__and__Field_Ozero__neq__one(A) | -class_Ring__and__Field_Ono__zero__divisors(A) | -class_Ring__and__Field_Omult__zero(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(B,A),C) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_power__eq__0__iff_0) # label(axiom).  [assumption].
% 1.09/1.67  135 -class_Ring__and__Field_Ozero__neq__one(A) | -class_Ring__and__Field_Ono__zero__divisors(A) | -class_Ring__and__Field_Omult__zero(A) | -class_Power_Opower(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(A) # label(cls_power__eq__0__iff_1) # label(axiom).  [assumption].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(A)) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,124,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Int_Onumber__class_Onumber__of(B,tc_nat)) != c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,125,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) | c_Int_Onumber__class_Onumber__of(A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,126,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) | c_Int_Onumber__class_Onumber__of(A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,127,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | c_Int_Onumber__class_Onumber__of(A,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hAPP(c_Power_Opower__class_Opower(B,tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat)) != c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,128,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_nat) | c_Int_Onumber__class_Onumber__of(A,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Oone__class_Oone(tc_nat).  [resolve(122,a,129,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A) = c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,131,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A) = c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,132,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | hAPP(c_Power_Opower__class_Opower(A,tc_nat),B) != c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,134,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(122,a,135,d)].
% 1.09/1.67  136 class_Power_Opower(tc_Int_Oint) # label(clsarity_Int__Oint__Power_Opower) # label(axiom).  [assumption].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_Int_Oint) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_Suc(A)) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(136,a,124,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) | -class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) | -class_Ring__and__Field_Omult__zero(tc_Int_Oint) | hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Int_Onumber__class_Onumber__of(B,tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(136,a,125,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) | -class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) | -class_Ring__and__Field_Omult__zero(tc_Int_Oint) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | c_Int_Onumber__class_Onumber__of(A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(136,a,126,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_Int_Oint) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | c_Int_Onumber__class_Onumber__of(A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(136,a,127,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) | -class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) | -class_Ring__and__Field_Omult__zero(tc_Int_Oint) | c_Int_Onumber__class_Onumber__of(A,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hAPP(c_Power_Opower__class_Opower(B,tc_Int_Oint),c_Int_Onumber__class_Onumber__of(A,tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(136,a,128,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_Int_Oint) | c_Int_Onumber__class_Onumber__of(A,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Oone__class_Oone(tc_Int_Oint).  [resolve(136,a,129,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_Int_Oint) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A) = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(136,a,131,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) | -class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) | -class_Ring__and__Field_Omult__zero(tc_Int_Oint) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A) = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(136,a,132,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) | -class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) | -class_Ring__and__Field_Omult__zero(tc_Int_Oint) | hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(136,a,134,d)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) | -class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) | -class_Ring__and__Field_Omult__zero(tc_Int_Oint) | hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(136,a,135,d)].
% 1.09/1.67  137 class_Power_Opower(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Power_Opower) # label(axiom).  [assumption].
% 1.09/1.67  Derived: -class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Suc(A)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(137,a,124,b)].
% 1.09/1.67  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(B,tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(137,a,125,d)].
% 1.44/1.69  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(137,a,126,d)].
% 1.44/1.69  Derived: -class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(137,a,127,b)].
% 1.44/1.69  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hAPP(c_Power_Opower__class_Opower(B,tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(137,a,128,d)].
% 1.44/1.69  Derived: -class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_nat)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(137,a,129,b)].
% 1.44/1.69  Derived: -class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),A) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(137,a,131,b)].
% 1.44/1.69  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),A) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(137,a,132,d)].
% 1.44/1.69  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(137,a,134,d)].
% 1.44/1.69  Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(137,a,135,d)].
% 1.44/1.69  138 class_OrderedGroup_Omonoid__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Omonoid__mult) # label(axiom).  [assumption].
% 1.44/1.69  139 -class_OrderedGroup_Omonoid__mult(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(B,A),C),B,A) # label(cls_power__Suc2_0) # label(axiom).  [assumption].
% 1.44/1.69  140 -class_OrderedGroup_Omonoid__mult(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A) = B # label(cls_mult__1__right_0) # label(axiom).  [assumption].
% 1.44/1.69  141 -class_OrderedGroup_Omonoid__mult(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A) = B # label(cls_mult__1__left_0) # label(axiom).  [assumption].
% 1.44/1.72  142 -class_OrderedGroup_Omonoid__mult(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_HOL_Otimes__class_Otimes(C,D,tc_nat)) = hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(B,A),C),A),D) # label(cls_power__mult_0) # label(axiom).  [assumption].
% 1.44/1.72  143 -class_OrderedGroup_Omonoid__mult(A) | c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(B,A),C),B,A) = c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A) # label(cls_power__commutes_0) # label(axiom).  [assumption].
% 1.44/1.72  144 -class_OrderedGroup_Omonoid__mult(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),A),B) = c_HOL_Oone__class_Oone(A) # label(cls_power__one_0) # label(axiom).  [assumption].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Suc(B)) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),A,tc_nat).  [resolve(138,a,139,a)].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_HOL_Otimes__class_Otimes(B,C,tc_nat)) = hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),C).  [resolve(138,a,142,a)].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A) = c_HOL_Oone__class_Oone(tc_nat).  [resolve(138,a,144,a)].
% 1.44/1.72  145 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Omonoid__mult) # label(axiom).  [assumption].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Suc(B)) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),A,tc_Int_Oint).  [resolve(145,a,139,a)].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,C,tc_nat)) = hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),C).  [resolve(145,a,142,a)].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A) = c_HOL_Oone__class_Oone(tc_Int_Oint).  [resolve(145,a,144,a)].
% 1.44/1.72  146 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) # label(axiom).  [assumption].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_Suc(B)) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),A,tc_Complex_Ocomplex).  [resolve(146,a,139,a)].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,C,tc_nat)) = hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex),C).  [resolve(146,a,142,a)].
% 1.44/1.72  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),A) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(146,a,144,a)].
% 1.44/1.72  147 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) # label(axiom).  [assumption].
% 1.44/1.72  148 -class_Ring__and__Field_Odivision__ring(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(B,A),A) = B # label(cls_inverse__inverse__eq_0) # label(axiom).  [assumption].
% 1.44/1.72  149 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oinverse__class_Oinverse(B,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_inverse__zero__imp__zero_0) # label(axiom).  [assumption].
% 1.44/1.72  150 -class_Ring__and__Field_Odivision__ring(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(B,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_inverse__nonzero__iff__nonzero_0) # label(axiom).  [assumption].
% 1.44/1.72  151 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(B,A),A) = B | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__inverse__inverse__eq_0) # label(axiom).  [assumption].
% 1.44/1.72  152 -class_Ring__and__Field_Odivision__ring(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_inverse__nonzero__iff__nonzero_1) # label(axiom).  [assumption].
% 1.44/1.72  153 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oinverse__class_Oinverse(B,A) != c_HOL_Oinverse__class_Oinverse(C,A) | B = C | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__inverse__eq__imp__eq_0) # label(axiom).  [assumption].
% 1.44/1.72  154 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Otimes__class_Otimes(B,C,A) != c_HOL_Oone__class_Oone(A) | c_HOL_Oinverse__class_Oinverse(B,A) = C # label(cls_inverse__unique_0) # label(axiom).  [assumption].
% 1.44/1.72  155 -class_Ring__and__Field_Odivision__ring(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(B,A) != c_HOL_Oinverse__class_Oinverse(C,A) | B = C # label(cls_inverse__eq__iff__eq_0) # label(axiom).  [assumption].
% 1.44/1.72  156 -class_Ring__and__Field_Odivision__ring(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(B,A),A) # label(cls_inverse__minus__eq_0) # label(axiom).  [assumption].
% 1.44/1.72  157 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ominus__class_Ominus(C,B,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_division__ring__inverse__diff_0) # label(axiom).  [assumption].
% 1.44/1.72  158 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(B,A),A) = c_HOL_Oone__class_Oone(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_right__inverse_0) # label(axiom).  [assumption].
% 1.44/1.72  159 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),B,A) = c_HOL_Oone__class_Oone(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_left__inverse_0) # label(axiom).  [assumption].
% 1.44/1.72  160 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(A),A) = c_HOL_Oone__class_Oone(A) # label(cls_inverse__1_0) # label(axiom).  [assumption].
% 1.44/1.72  161 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A),A) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_Deriv_Oinverse__diff__inverse_0) # label(axiom).  [assumption].
% 1.44/1.72  162 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(C,A),c_HOL_Oinverse__class_Oinverse(B,A),A) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__inverse__mult__distrib_0) # label(axiom).  [assumption].
% 1.44/1.72  163 -class_Ring__and__Field_Odivision__ring(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(hAPP(c_Power_Opower__class_Opower(B,A),C),A) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),A),C) # label(cls_power__inverse_0) # label(axiom).  [assumption].
% 1.44/1.72  164 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oinverse__class_Oinverse(hAPP(c_Power_Opower__class_Opower(B,A),C),A) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),A),C) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__power__inverse_0) # label(axiom).  [assumption].
% 1.44/1.72  165 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(B,A),A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__inverse__minus__eq_0) # label(axiom).  [assumption].
% 1.44/1.72  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(147,a,148,a)].
% 1.44/1.72  Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,149,a)].
% 1.44/1.72  Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,151,a)].
% 1.44/1.72  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,152,a)].
% 1.44/1.72  Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex) | A = B | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,153,a)].
% 1.44/1.72  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) = B.  [resolve(147,a,154,a)].
% 1.44/1.72  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex) | A = B.  [resolve(147,a,155,a)].
% 1.44/1.72  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(147,a,156,a)].
% 1.44/1.72  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(B,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,157,a)].
% 1.44/1.72  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,158,a)].
% 1.44/1.72  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,159,a)].
% 1.44/1.72  Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(147,a,160,a)].
% 1.44/1.72  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,161,a)].
% 1.44/1.72  Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,162,a)].
% 1.44/1.72  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),B).  [resolve(147,a,163,a)].
% 1.44/1.74  Derived: c_HOL_Oinverse__class_Oinverse(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),B) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,164,a)].
% 1.44/1.74  Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(147,a,165,a)].
% 1.44/1.74  166 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) # label(axiom).  [assumption].
% 1.44/1.74  167 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_neg__less__0__iff__less_0) # label(axiom).  [assumption].
% 1.44/1.74  168 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_neg__less__0__iff__less_1) # label(axiom).  [assumption].
% 1.44/1.74  169 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),c_HOL_Ouminus__class_Ouminus(C,A))) | -hBOOL(hAPP(c_lessequals(C,A),B)) # label(cls_le__imp__neg__le_0) # label(axiom).  [assumption].
% 1.44/1.74  170 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_neg__le__iff__le_0) # label(axiom).  [assumption].
% 1.44/1.74  171 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_neg__less__iff__less_0) # label(axiom).  [assumption].
% 1.44/1.74  172 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),A),B)) # label(cls_minus__less__iff_1) # label(axiom).  [assumption].
% 1.44/1.74  173 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),A),B)) # label(cls_minus__less__iff_0) # label(axiom).  [assumption].
% 1.44/1.74  174 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ouminus__class_Ouminus(C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_less__minus__iff_1) # label(axiom).  [assumption].
% 1.44/1.74  175 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ouminus__class_Ouminus(C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_less__minus__iff_0) # label(axiom).  [assumption].
% 1.44/1.74  176 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),A),B)) # label(cls_minus__le__iff_1) # label(axiom).  [assumption].
% 1.44/1.74  177 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),A),B)) # label(cls_minus__le__iff_0) # label(axiom).  [assumption].
% 1.44/1.74  178 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ouminus__class_Ouminus(C,A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_le__minus__iff_1) # label(axiom).  [assumption].
% 1.44/1.74  179 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ouminus__class_Ouminus(C,A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_le__minus__iff_0) # label(axiom).  [assumption].
% 1.44/1.74  180 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),A),c_HOL_Ouminus__class_Ouminus(C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) # label(cls_neg__less__iff__less_1) # label(axiom).  [assumption].
% 1.44/1.74  181 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_neg__le__0__iff__le_0) # label(axiom).  [assumption].
% 1.44/1.74  182 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_neg__le__0__iff__le_1) # label(axiom).  [assumption].
% 1.44/1.74  183 -class_OrderedGroup_Opordered__ab__group__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ominus__class_Ominus(D,E,A) | hBOOL(hAPP(c_lessequals(E,A),D)) | -hBOOL(hAPP(c_lessequals(C,A),B)) # label(cls_le__eqI_0) # label(axiom).  [assumption].
% 1.44/1.74  184 -class_OrderedGroup_Opordered__ab__group__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ominus__class_Ominus(D,E,A) | hBOOL(hAPP(c_lessequals(C,A),B)) | -hBOOL(hAPP(c_lessequals(E,A),D)) # label(cls_le__eqI_1) # label(axiom).  [assumption].
% 1.44/1.74  185 -class_OrderedGroup_Opordered__ab__group__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ominus__class_Ominus(D,E,A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),E)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) # label(cls_less__eqI_0) # label(axiom).  [assumption].
% 1.44/1.74  186 -class_OrderedGroup_Opordered__ab__group__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ominus__class_Ominus(D,E,A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),E)) # label(cls_less__eqI_1) # label(axiom).  [assumption].
% 1.44/1.74  187 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_neg__0__le__iff__le_0) # label(axiom).  [assumption].
% 1.44/1.74  188 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ouminus__class_Ouminus(B,A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_neg__0__le__iff__le_1) # label(axiom).  [assumption].
% 1.44/1.74  189 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_less__iff__diff__less__0_1) # label(axiom).  [assumption].
% 1.44/1.74  190 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) # label(cls_less__iff__diff__less__0_0) # label(axiom).  [assumption].
% 1.44/1.74  191 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_le__iff__diff__le__0_1) # label(axiom).  [assumption].
% 1.44/1.74  192 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(B,A),C)) # label(cls_le__iff__diff__le__0_0) # label(axiom).  [assumption].
% 1.44/1.74  193 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_neg__0__less__iff__less_0) # label(axiom).  [assumption].
% 1.44/1.75  194 -class_OrderedGroup_Opordered__ab__group__add(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ouminus__class_Ouminus(B,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_neg__0__less__iff__less_1) # label(axiom).  [assumption].
% 1.44/1.75  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(166,a,167,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(166,a,168,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),A)).  [resolve(166,a,169,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))).  [resolve(166,a,170,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))).  [resolve(166,a,171,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint),A)).  [resolve(166,a,172,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))).  [resolve(166,a,174,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint),A)).  [resolve(166,a,176,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))).  [resolve(166,a,178,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_Int_Oint),A)).  [resolve(166,a,180,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(166,a,181,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(166,a,182,a)].
% 1.44/1.75  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint) != c_HOL_Ominus__class_Ominus(C,D,tc_Int_Oint) | hBOOL(hAPP(c_lessequals(D,tc_Int_Oint),C)) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),A)).  [resolve(166,a,183,a)].
% 1.44/1.75  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint) != c_HOL_Ominus__class_Ominus(C,D,tc_Int_Oint) | hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(D,tc_Int_Oint),C)).  [resolve(166,a,184,a)].
% 1.44/1.75  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint) != c_HOL_Ominus__class_Ominus(C,D,tc_Int_Oint) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_Int_Oint),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)).  [resolve(166,a,185,a)].
% 1.44/1.75  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint) != c_HOL_Ominus__class_Ominus(C,D,tc_Int_Oint) | hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_Int_Oint),D)).  [resolve(166,a,186,a)].
% 1.44/1.75  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))).  [resolve(166,a,187,a)].
% 1.54/1.78  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(166,a,188,a)].
% 1.54/1.78  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(166,a,189,a)].
% 1.54/1.78  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)).  [resolve(166,a,190,a)].
% 1.54/1.78  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(166,a,191,a)].
% 1.54/1.78  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)).  [resolve(166,a,192,a)].
% 1.54/1.78  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))).  [resolve(166,a,193,a)].
% 1.54/1.78  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(166,a,194,a)].
% 1.54/1.78  195 class_Ring__and__Field_Odvd(tc_nat) # label(clsarity_nat__Ring__and__Field_Odvd) # label(axiom).  [assumption].
% 1.54/1.78  196 -class_Ring__and__Field_Odvd(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_dvdI_0) # label(axiom).  [assumption].
% 1.54/1.78  197 class_Ring__and__Field_Odvd(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Odvd) # label(axiom).  [assumption].
% 1.54/1.78  198 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd) # label(axiom).  [assumption].
% 1.54/1.78  199 class_Ring__and__Field_Oring(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oring) # label(axiom).  [assumption].
% 1.54/1.78  200 -class_Ring__and__Field_Oring(A) | -class_Int_Onumber(A) | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ominus__class_Ominus(C,D,A),A) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A) # label(cls_right__diff__distrib__number__of_0) # label(axiom).  [assumption].
% 1.54/1.78  201 -class_Ring__and__Field_Oring(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A) # label(cls_minus__mult__left_0) # label(axiom).  [assumption].
% 1.54/1.78  202 -class_Ring__and__Field_Oring(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_minus__mult__right_0) # label(axiom).  [assumption].
% 1.54/1.78  203 -class_Ring__and__Field_Oring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Otimes__class_Otimes(B,C,A) # label(cls_minus__mult__minus_0) # label(axiom).  [assumption].
% 1.54/1.78  204 -class_Ring__and__Field_Oring(A) | -class_Int_Onumber(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A),A) # label(cls_left__diff__distrib__number__of_0) # label(axiom).  [assumption].
% 1.54/1.78  205 -class_Ring__and__Field_Oring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_minus__mult__commute_0) # label(axiom).  [assumption].
% 1.57/1.81  Derived: -class_Int_Onumber(tc_Int_Oint) | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Int_Oint),c_HOL_Ominus__class_Ominus(B,C,tc_Int_Oint),tc_Int_Oint) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Int_Oint),B,tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Int_Oint),C,tc_Int_Oint),tc_Int_Oint).  [resolve(199,a,200,a)].
% 1.57/1.81  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),B,tc_Int_Oint).  [resolve(199,a,201,a)].
% 1.57/1.81  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint).  [resolve(199,a,202,a)].
% 1.57/1.81  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint) = c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint).  [resolve(199,a,203,a)].
% 1.57/1.81  Derived: -class_Int_Onumber(tc_Int_Oint) | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint),c_Int_Onumber__class_Onumber__of(C,tc_Int_Oint),tc_Int_Oint) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(C,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,tc_Int_Oint),tc_Int_Oint),tc_Int_Oint).  [resolve(199,a,204,a)].
% 1.57/1.81  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),B,tc_Int_Oint) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint).  [resolve(199,a,205,a)].
% 1.57/1.81  206 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring) # label(axiom).  [assumption].
% 1.57/1.81  Derived: -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(206,a,200,a)].
% 1.57/1.81  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(206,a,201,a)].
% 1.57/1.81  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(206,a,202,a)].
% 1.57/1.81  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex).  [resolve(206,a,203,a)].
% 1.57/1.81  Derived: -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(C,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(206,a,204,a)].
% 1.57/1.81  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(206,a,205,a)].
% 1.57/1.81  207 class_Ring__and__Field_Oordered__semiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Oordered__semiring) # label(axiom).  [assumption].
% 1.59/1.83  208 -class_Ring__and__Field_Oordered__semiring(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) # label(cls_mult__left__less__imp__less_0) # label(axiom).  [assumption].
% 1.59/1.83  209 -class_Ring__and__Field_Oordered__semiring(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),A),c_HOL_Otimes__class_Otimes(C,D,A))) # label(cls_mult__right__less__imp__less_0) # label(axiom).  [assumption].
% 1.59/1.83  210 class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring) # label(axiom).  [assumption].
% 1.59/1.83  211 class_Ring__and__Field_Oidom(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oidom) # label(axiom).  [assumption].
% 1.59/1.83  212 -class_Ring__and__Field_Oidom(A) | c_HOL_Otimes__class_Otimes(B,B,A) != c_HOL_Otimes__class_Otimes(C,C,A) | B = c_HOL_Ouminus__class_Ouminus(C,A) | B = C # label(cls_square__eq__iff_0) # label(axiom).  [assumption].
% 1.59/1.83  213 -class_Ring__and__Field_Oidom(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | D = c_HOL_Ozero__class_Ozero(A) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_dvd__mult__cancel__right_0) # label(axiom).  [assumption].
% 1.59/1.83  214 -class_Ring__and__Field_Oidom(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | D = c_HOL_Ozero__class_Ozero(A) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A) # label(cls_dvd__mult__cancel__left_0) # label(axiom).  [assumption].
% 1.59/1.83  215 -class_Ring__and__Field_Oidom(A) | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),C,A),A) # label(cls_dvd__mult__cancel__left_1) # label(axiom).  [assumption].
% 1.59/1.83  216 -class_Ring__and__Field_Oidom(A) | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(C,c_HOL_Ozero__class_Ozero(A),A),A) # label(cls_dvd__mult__cancel__right_1) # label(axiom).  [assumption].
% 1.59/1.83  217 -class_Ring__and__Field_Oidom(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Otimes__class_Otimes(B,B,A) # label(cls_square__eq__iff_1) # label(axiom).  [assumption].
% 1.59/1.83  218 -class_Ring__and__Field_Oidom(A) | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(C,D,A) # label(cls_dvd__mult__cancel__left_2) # label(axiom).  [assumption].
% 1.59/1.83  219 -class_Ring__and__Field_Oidom(A) | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) # label(cls_dvd__mult__cancel__right_2) # label(axiom).  [assumption].
% 1.59/1.83  220 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_class__ringb_Osubr0__iff_1) # label(axiom).  [assumption].
% 1.59/1.83  221 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = C # label(cls_class__ringb_Osubr0__iff_0) # label(axiom).  [assumption].
% 1.59/1.83  Derived: c_HOL_Otimes__class_Otimes(A,A,tc_Int_Oint) != c_HOL_Otimes__class_Otimes(B,B,tc_Int_Oint) | A = c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint) | A = B.  [resolve(211,a,212,a)].
% 1.59/1.83  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint) | C = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,C,tc_Int_Oint),tc_Int_Oint).  [resolve(211,a,213,a)].
% 1.59/1.83  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint) | C = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(C,A,tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint),tc_Int_Oint).  [resolve(211,a,214,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),A,tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),B,tc_Int_Oint),tc_Int_Oint).  [resolve(211,a,215,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),tc_Int_Oint).  [resolve(211,a,216,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint),tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Int_Oint).  [resolve(211,a,218,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint),tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Int_Oint).  [resolve(211,a,219,a)].
% 1.59/1.84  Derived: -class_Int_Onumber__ring(tc_Int_Oint) | c_HOL_Ominus__class_Ominus(A,A,tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(211,a,220,a)].
% 1.59/1.84  Derived: -class_Int_Onumber__ring(tc_Int_Oint) | c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = B.  [resolve(211,a,221,a)].
% 1.59/1.84  222 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) # label(axiom).  [assumption].
% 1.59/1.84  Derived: c_HOL_Otimes__class_Otimes(A,A,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(B,B,tc_Complex_Ocomplex) | A = c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex) | A = B.  [resolve(222,a,212,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex) | C = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(222,a,213,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex) | C = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(C,A,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(222,a,214,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(222,a,215,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(222,a,216,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Complex_Ocomplex).  [resolve(222,a,218,a)].
% 1.59/1.84  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Complex_Ocomplex).  [resolve(222,a,219,a)].
% 1.59/1.84  Derived: -class_Int_Onumber__ring(tc_Complex_Ocomplex) | c_HOL_Ominus__class_Ominus(A,A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(222,a,220,a)].
% 1.59/1.84  Derived: -class_Int_Onumber__ring(tc_Complex_Ocomplex) | c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = B.  [resolve(222,a,221,a)].
% 1.59/1.84  223 class_Int_Oring__char__0(tc_Int_Oint) # label(clsarity_Int__Oint__Int_Oring__char__0) # label(axiom).  [assumption].
% 1.59/1.84  224 -class_Int_Oring__char__0(A) | -class_Int_Onumber__ring(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_Int_Onumber__class_Onumber__of(C,A) | B = C # label(cls_eq__number__of_0) # label(axiom).  [assumption].
% 1.59/1.87  Derived: -class_Int_Onumber__ring(tc_Int_Oint) | c_Int_Onumber__class_Onumber__of(A,tc_Int_Oint) != c_Int_Onumber__class_Onumber__of(B,tc_Int_Oint) | A = B.  [resolve(223,a,224,a)].
% 1.59/1.87  225 class_Int_Oring__char__0(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Int_Oring__char__0) # label(axiom).  [assumption].
% 1.59/1.87  Derived: -class_Int_Onumber__ring(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex) | A = B.  [resolve(225,a,224,a)].
% 1.59/1.87  226 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) # label(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict) # label(axiom).  [assumption].
% 1.59/1.87  227 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D)) # label(cls_mult__strict__left__mono__comm_0) # label(axiom).  [assumption].
% 1.59/1.87  228 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict) # label(axiom).  [assumption].
% 1.59/1.87  229 class_Ring__and__Field_Oordered__semidom(tc_nat) # label(clsarity_nat__Ring__and__Field_Oordered__semidom) # label(axiom).  [assumption].
% 1.59/1.87  230 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) # label(cls_less__1__mult_0) # label(axiom).  [assumption].
% 1.59/1.87  231 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(D)),A),hAPP(c_Power_Opower__class_Opower(C,A),c_Suc(D)))) # label(cls_power__le__imp__le__base_0) # label(axiom).  [assumption].
% 1.59/1.87  232 -class_Ring__and__Field_Oordered__semidom(A) | hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)) != hAPP(c_Power_Opower__class_Opower(D,A),c_Suc(C)) | B = D | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_power__inject__base_0) # label(axiom).  [assumption].
% 1.59/1.87  233 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),D),A),hAPP(c_Power_Opower__class_Opower(C,A),D))) # label(cls_power__less__imp__less__base_0) # label(axiom).  [assumption].
% 1.59/1.87  234 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(D,A),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),D)) # label(cls_power__strict__mono_0) # label(axiom).  [assumption].
% 1.59/1.87  235 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(B,tc_nat),C)) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(D,A),B),A),hAPP(c_Power_Opower__class_Opower(D,A),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)) # label(cls_power__le__imp__le__exp_0) # label(axiom).  [assumption].
% 1.59/1.87  236 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(B,tc_nat),C)) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(D,A),B),A),hAPP(c_Power_Opower__class_Opower(D,A),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)) # label(cls_power__increasing__iff_0) # label(axiom).  [assumption].
% 1.59/1.87  237 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(B,A),D))) | -hBOOL(hAPP(c_lessequals(C,tc_nat),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) # label(cls_power__increasing__iff_1) # label(axiom).  [assumption].
% 1.59/1.87  238 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(B,A),D))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),D)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) # label(cls_power__strict__increasing__iff_1) # label(axiom).  [assumption].
% 1.59/1.87  239 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(D,A),B),A),hAPP(c_Power_Opower__class_Opower(D,A),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)) # label(cls_power__strict__increasing__iff_0) # label(axiom).  [assumption].
% 1.59/1.87  240 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(B,A),D))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),D)) # label(cls_power__strict__increasing_0) # label(axiom).  [assumption].
% 1.59/1.87  241 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(D,A),B),A),hAPP(c_Power_Opower__class_Opower(D,A),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)) # label(cls_power__less__imp__less__exp_0) # label(axiom).  [assumption].
% 1.59/1.87  242 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) # label(cls_power__gt1_0) # label(axiom).  [assumption].
% 1.59/1.87  243 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(B,A),D))) | -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(A),A),B)) | -hBOOL(hAPP(c_lessequals(C,tc_nat),D)) # label(cls_power__increasing_0) # label(axiom).  [assumption].
% 1.59/1.87  244 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),C),A),c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) # label(cls_power__less__power__Suc_0) # label(axiom).  [assumption].
% 1.59/1.87  245 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) # label(cls_power__gt1__lemma_0) # label(axiom).  [assumption].
% 1.59/1.87  246 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(B,A),D))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oone__class_Oone(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(D,tc_nat),C)) # label(cls_power__decreasing_0) # label(axiom).  [assumption].
% 1.59/1.87  247 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(B,A),D))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Oone__class_Oone(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,tc_nat),C)) # label(cls_power__strict__decreasing_0) # label(axiom).  [assumption].
% 1.59/1.87  248 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C)),A),c_HOL_Oone__class_Oone(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Oone__class_Oone(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_power__Suc__less__one_0) # label(axiom).  [assumption].
% 1.59/1.87  249 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A),A),hAPP(c_Power_Opower__class_Opower(B,A),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Oone__class_Oone(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_power__Suc__less_0) # label(axiom).  [assumption].
% 1.59/1.87  250 -class_Ring__and__Field_Oordered__semidom(A) | hAPP(c_Power_Opower__class_Opower(B,A),C) != hAPP(c_Power_Opower__class_Opower(D,A),C) | B = D | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_power__eq__imp__eq__base_0) # label(axiom).  [assumption].
% 1.59/1.87  251 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),hAPP(c_Power_Opower__class_Opower(B,A),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) # label(cls_one__less__power_0) # label(axiom).  [assumption].
% 1.59/1.87  252 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Oone__class_Oone(A))) # label(cls_zero__less__one_0) # label(axiom).  [assumption].
% 1.59/1.87  253 -class_Ring__and__Field_Oordered__semidom(A) | -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_not__one__le__zero_0) # label(axiom).  [assumption].
% 1.59/1.87  254 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Oone__class_Oone(A))) # label(cls_zero__le__one_0) # label(axiom).  [assumption].
% 1.59/1.87  255 -class_Ring__and__Field_Oordered__semidom(A) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_not__one__less__zero_0) # label(axiom).  [assumption].
% 1.59/1.87  256 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(B,A),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_zero__less__power_0) # label(axiom).  [assumption].
% 1.59/1.87  257 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(B,A),C))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_zero__le__power_0) # label(axiom).  [assumption].
% 1.59/1.87  258 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(D,A),C))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(B,A),D)) # label(cls_power__mono_0) # label(axiom).  [assumption].
% 1.59/1.87  259 -class_Ring__and__Field_Oordered__semidom(A) | hAPP(c_Power_Opower__class_Opower(B,A),C) != hAPP(c_Power_Opower__class_Opower(B,A),D) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)) | C = D # label(cls_power__inject__exp_0) # label(axiom).  [assumption].
% 1.59/1.87  260 -class_Ring__and__Field_Oordered__semidom(A) | hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(A),A),hAPP(c_Power_Opower__class_Opower(B,A),C))) | -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(A),A),B)) # label(cls_one__le__power_0) # label(axiom).  [assumption].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)).  [resolve(229,a,230,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_lessequals(A,tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Suc(C)),tc_nat),hAPP(c_Power_Opower__class_Opower(B,tc_nat),c_Suc(C)))).  [resolve(229,a,231,a)].
% 1.59/1.87  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Suc(B)) != hAPP(c_Power_Opower__class_Opower(C,tc_nat),c_Suc(B)) | A = C | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(229,a,232,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_nat),C),tc_nat),hAPP(c_Power_Opower__class_Opower(B,tc_nat),C))).  [resolve(229,a,233,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),hAPP(c_Power_Opower__class_Opower(C,tc_nat),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).  [resolve(229,a,234,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_lessequals(A,tc_nat),B)) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(C,tc_nat),A),tc_nat),hAPP(c_Power_Opower__class_Opower(C,tc_nat),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),C)).  [resolve(229,a,235,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),C))) | -hBOOL(hAPP(c_lessequals(B,tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)).  [resolve(229,a,237,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)).  [resolve(229,a,238,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(C,tc_nat),A),tc_nat),hAPP(c_Power_Opower__class_Opower(C,tc_nat),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),C)).  [resolve(229,a,239,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Suc(B)))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)).  [resolve(229,a,242,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),C))) | -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).  [resolve(229,a,243,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)).  [resolve(229,a,244,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)).  [resolve(229,a,245,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),C))) | -hBOOL(hAPP(c_lessequals(A,tc_nat),c_HOL_Oone__class_Oone(tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_lessequals(C,tc_nat),B)).  [resolve(229,a,246,a)].
% 1.59/1.87  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Oone__class_Oone(tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),B)).  [resolve(229,a,247,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_nat),c_Suc(B)),tc_nat),c_HOL_Oone__class_Oone(tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Oone__class_Oone(tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(229,a,248,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Oone__class_Oone(tc_nat))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(229,a,249,a)].
% 1.59/1.88  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_nat),B) != hAPP(c_Power_Opower__class_Opower(C,tc_nat),B) | A = C | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(229,a,250,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)).  [resolve(229,a,251,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat))).  [resolve(229,a,252,a)].
% 1.59/1.88  Derived: -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).  [resolve(229,a,253,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat))).  [resolve(229,a,254,a)].
% 1.59/1.88  Derived: -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).  [resolve(229,a,255,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(229,a,256,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),B))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(229,a,257,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_nat),B),tc_nat),hAPP(c_Power_Opower__class_Opower(C,tc_nat),B))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).  [resolve(229,a,258,a)].
% 1.59/1.88  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_nat),B) != hAPP(c_Power_Opower__class_Opower(A,tc_nat),C) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)) | B = C.  [resolve(229,a,259,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(c_Power_Opower__class_Opower(A,tc_nat),B))) | -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),A)).  [resolve(229,a,260,a)].
% 1.59/1.88  261 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom) # label(axiom).  [assumption].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,230,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Suc(C)),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(B,tc_Int_Oint),c_Suc(C)))).  [resolve(261,a,231,a)].
% 1.59/1.88  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Suc(B)) != hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),c_Suc(B)) | A = C | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,232,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(B,tc_Int_Oint),C))).  [resolve(261,a,233,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),C)).  [resolve(261,a,234,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(A,tc_nat),B)) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),A),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),C)).  [resolve(261,a,235,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C))) | -hBOOL(hAPP(c_lessequals(B,tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,237,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,238,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),A),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),C)).  [resolve(261,a,239,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Suc(B)))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,242,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C))) | -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).  [resolve(261,a,243,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,244,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,245,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C))) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(C,tc_nat),B)).  [resolve(261,a,246,a)].
% 1.59/1.88  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),B)).  [resolve(261,a,247,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Suc(B)),tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,248,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,249,a)].
% 1.59/1.89  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B) != hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),B) | A = C | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,250,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,251,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))).  [resolve(261,a,252,a)].
% 1.59/1.89  Derived: -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(261,a,253,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))).  [resolve(261,a,254,a)].
% 1.59/1.89  Derived: -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(261,a,255,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,256,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,257,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(C,tc_Int_Oint),B))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),C)).  [resolve(261,a,258,a)].
% 1.59/1.89  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B) != hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),C) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)) | B = C.  [resolve(261,a,259,a)].
% 1.59/1.89  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B))) | -hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(261,a,260,a)].
% 1.59/1.89  262 class_OrderedGroup_Ogroup__add(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Ogroup__add) # label(axiom).  [assumption].
% 1.59/1.89  263 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) = B # label(cls_minus__equation__iff_1) # label(axiom).  [assumption].
% 1.59/1.89  264 -class_OrderedGroup_Ogroup__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_equation__minus__iff_1) # label(axiom).  [assumption].
% 1.59/1.89  265 -class_OrderedGroup_Ogroup__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_equation__minus__iff_0) # label(axiom).  [assumption].
% 1.59/1.89  266 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) = B # label(cls_minus__minus_0) # label(axiom).  [assumption].
% 1.59/1.89  267 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_minus__zero_0) # label(axiom).  [assumption].
% 1.59/1.89  268 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ozero__class_Ozero(A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A) # label(cls_neg__0__equal__iff__equal_1) # label(axiom).  [assumption].
% 1.59/1.89  269 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(B,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_neg__equal__0__iff__equal_0) # label(axiom).  [assumption].
% 1.59/1.89  270 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ozero__class_Ozero(A) != c_HOL_Ouminus__class_Ouminus(B,A) | c_HOL_Ozero__class_Ozero(A) = B # label(cls_neg__0__equal__iff__equal_0) # label(axiom).  [assumption].
% 1.59/1.89  271 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(B,A) != c_HOL_Ouminus__class_Ouminus(C,A) | B = C # label(cls_neg__equal__iff__equal_0) # label(axiom).  [assumption].
% 1.59/1.89  272 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ouminus__class_Ouminus(B,A) # label(cls_group__add__class_Odiff__0_0) # label(axiom).  [assumption].
% 1.59/1.89  273 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_right__minus__eq_1) # label(axiom).  [assumption].
% 1.59/1.89  274 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A) = B # label(cls_diff__0__right_0) # label(axiom).  [assumption].
% 1.59/1.89  275 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_diff__self_0) # label(axiom).  [assumption].
% 1.59/1.89  276 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = C # label(cls_right__minus__eq_0) # label(axiom).  [assumption].
% 1.59/1.89  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint) = A.  [resolve(262,a,263,a)].
% 1.59/1.89  Derived: A = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint).  [resolve(262,a,264,a)].
% 1.59/1.89  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(262,a,267,a)].
% 1.59/1.89  Derived: c_HOL_Ozero__class_Ozero(tc_Int_Oint) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint).  [resolve(262,a,268,a)].
% 1.59/1.89  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(262,a,269,a)].
% 1.59/1.89  Derived: c_HOL_Ozero__class_Ozero(tc_Int_Oint) != c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint) | c_HOL_Ozero__class_Ozero(tc_Int_Oint) = A.  [resolve(262,a,270,a)].
% 1.59/1.89  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint) != c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint) | A = B.  [resolve(262,a,271,a)].
% 1.59/1.89  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Int_Oint),A,tc_Int_Oint) = c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint).  [resolve(262,a,272,a)].
% 1.59/1.89  Derived: c_HOL_Ominus__class_Ominus(A,A,tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(262,a,273,a)].
% 1.59/1.89  Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint) = A.  [resolve(262,a,274,a)].
% 1.59/1.89  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = B.  [resolve(262,a,276,a)].
% 1.59/1.89  277 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) # label(axiom).  [assumption].
% 1.59/1.89  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(277,a,263,a)].
% 1.59/1.89  Derived: A = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(277,a,264,a)].
% 1.68/1.93  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(277,a,267,a)].
% 1.68/1.93  Derived: c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(277,a,268,a)].
% 1.68/1.93  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(277,a,269,a)].
% 1.68/1.93  Derived: c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = A.  [resolve(277,a,270,a)].
% 1.68/1.93  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex) | A = B.  [resolve(277,a,271,a)].
% 1.68/1.93  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex).  [resolve(277,a,272,a)].
% 1.68/1.93  Derived: c_HOL_Ominus__class_Ominus(A,A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(277,a,273,a)].
% 1.68/1.93  Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(277,a,274,a)].
% 1.68/1.93  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = B.  [resolve(277,a,276,a)].
% 1.68/1.93  278 class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add) # label(axiom).  [assumption].
% 1.68/1.93  279 -class_OrderedGroup_Oordered__ab__group__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_neg__equal__zero_1) # label(axiom).  [assumption].
% 1.68/1.93  280 -class_OrderedGroup_Oordered__ab__group__add(A) | c_HOL_Ouminus__class_Ouminus(B,A) != B | B = c_HOL_Ozero__class_Ozero(A) # label(cls_neg__equal__zero_0) # label(axiom).  [assumption].
% 1.68/1.93  281 -class_OrderedGroup_Oordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_less__eq__neg__nonpos_0) # label(axiom).  [assumption].
% 1.68/1.93  282 -class_OrderedGroup_Oordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ouminus__class_Ouminus(B,A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_less__eq__neg__nonpos_1) # label(axiom).  [assumption].
% 1.68/1.93  283 -class_OrderedGroup_Oordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),B)) # label(cls_neg__less__eq__nonneg_0) # label(axiom).  [assumption].
% 1.68/1.93  284 -class_OrderedGroup_Oordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_neg__less__eq__nonneg_1) # label(axiom).  [assumption].
% 1.68/1.93  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint) != A | A = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(278,a,280,a)].
% 1.68/1.93  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))).  [resolve(278,a,281,a)].
% 1.68/1.93  Derived: hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(278,a,282,a)].
% 1.68/1.93  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),A)).  [resolve(278,a,283,a)].
% 1.68/1.93  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(278,a,284,a)].
% 1.68/1.93  285 class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors) # label(axiom).  [assumption].
% 1.68/1.94  286 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_2) # label(axiom).  [assumption].
% 1.68/1.94  287 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_1) # label(axiom).  [assumption].
% 1.68/1.94  288 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(B,C,A) != c_HOL_Ozero__class_Ozero(A) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_0) # label(axiom).  [assumption].
% 1.68/1.94  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | B = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(285,a,288,a)].
% 1.68/1.94  289 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) # label(axiom).  [assumption].
% 1.68/1.94  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(289,a,288,a)].
% 1.68/1.94  290 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) # label(axiom).  [assumption].
% 1.68/1.94  291 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__right_Ozero_0) # label(axiom).  [assumption].
% 1.68/1.94  292 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult_Ozero__right_0) # label(axiom).  [assumption].
% 1.68/1.94  293 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult_Ozero__left_0) # label(axiom).  [assumption].
% 1.68/1.94  294 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__left_Ozero_0) # label(axiom).  [assumption].
% 1.68/1.94  295 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) # label(cls_mult__right_Odiff_0) # label(axiom).  [assumption].
% 1.68/1.94  296 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) # label(cls_mult_Odiff__right_0) # label(axiom).  [assumption].
% 1.68/1.94  297 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_mult_Odiff__left_0) # label(axiom).  [assumption].
% 1.68/1.94  298 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_mult__left_Odiff_0) # label(axiom).  [assumption].
% 1.68/1.94  299 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_mult_Ominus__left_0) # label(axiom).  [assumption].
% 1.68/1.94  300 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_mult__left_Ominus_0) # label(axiom).  [assumption].
% 1.68/1.94  301 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_mult_Ominus__right_0) # label(axiom).  [assumption].
% 1.68/1.96  302 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_mult__right_Ominus_0) # label(axiom).  [assumption].
% 1.68/1.96  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ominus__class_Ominus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(290,a,295,a)].
% 1.68/1.96  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(290,a,297,a)].
% 1.68/1.96  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(290,a,299,a)].
% 1.68/1.96  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(290,a,301,a)].
% 1.68/1.96  303 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oordered__idom) # label(axiom).  [assumption].
% 1.68/1.96  304 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)) | hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)) | C = B # label(cls_linorder__neqE__ordered__idom_0) # label(axiom).  [assumption].
% 1.68/1.96  305 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),B)) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Oone__class_Oone(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__right__le__one__le_0) # label(axiom).  [assumption].
% 1.68/1.96  306 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),C)) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oone__class_Oone(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) # label(cls_mult__left__le__one__le_0) # label(axiom).  [assumption].
% 1.68/1.96  307 -class_Ring__and__Field_Oordered__idom(A) | B = c_HOL_Ozero__class_Ozero(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_power__le__zero__eq__number__of_3) # label(axiom).  [assumption].
% 1.68/1.96  308 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_power__less__zero__eq__number__of_1) # label(axiom).  [assumption].
% 1.68/1.96  309 -class_Ring__and__Field_Oordered__idom(A) | c_Int_Onumber__class_Onumber__of(B,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(B,tc_nat)))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_zero__less__power__eq__number__of_2) # label(axiom).  [assumption].
% 1.68/1.96  310 -class_Ring__and__Field_Oordered__idom(A) | c_Int_Onumber__class_Onumber__of(B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(C,A),c_Int_Onumber__class_Onumber__of(B,tc_nat)))) # label(cls_zero__less__power__eq__number__of_3) # label(axiom).  [assumption].
% 1.68/1.96  311 -class_Ring__and__Field_Oordered__idom(A) | c_Int_Onumber__class_Onumber__of(B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(C,A),c_Int_Onumber__class_Onumber__of(B,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_power__le__zero__eq__number__of_0) # label(axiom).  [assumption].
% 1.68/1.96  312 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(B,A),C))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_zero__le__power__iff_1) # label(axiom).  [assumption].
% 1.68/1.96  313 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),C),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_power__less__zero__eq_1) # label(axiom).  [assumption].
% 1.68/1.96  314 -class_Ring__and__Field_Oordered__idom(A) | B = c_HOL_Ozero__class_Ozero(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,A),C),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_power__le__zero__eq_3) # label(axiom).  [assumption].
% 1.68/1.96  315 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_less__minus__self__iff_0) # label(axiom).  [assumption].
% 1.68/1.96  316 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ouminus__class_Ouminus(B,A))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_less__minus__self__iff_1) # label(axiom).  [assumption].
% 1.68/1.96  317 -class_Ring__and__Field_Oordered__idom(A) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,A),c_HOL_Ozero__class_Ozero(tc_nat)),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_power__le__zero__eq_0) # label(axiom).  [assumption].
% 1.68/1.96  318 -class_Ring__and__Field_Oordered__idom(A) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(B,A),c_HOL_Ozero__class_Ozero(tc_nat)))) # label(cls_zero__less__power__eq_3) # label(axiom).  [assumption].
% 1.68/1.96  319 -class_Ring__and__Field_Oordered__idom(A) | B = c_HOL_Ozero__class_Ozero(tc_nat) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),B))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(A))) # label(cls_zero__less__power__eq_2) # label(axiom).  [assumption].
% 1.68/1.96  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)).  [resolve(303,a,305,a)].
% 1.68/1.96  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)).  [resolve(303,a,306,a)].
% 1.68/1.96  Derived: A = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Int_Onumber__class_Onumber__of(B,tc_nat)),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,307,a)].
% 1.68/1.96  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_Int_Onumber__class_Onumber__of(B,tc_nat)),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,308,a)].
% 1.75/2.00  Derived: c_Int_Onumber__class_Onumber__of(A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_Int_Onumber__class_Onumber__of(A,tc_nat)))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,309,a)].
% 1.75/2.00  Derived: c_Int_Onumber__class_Onumber__of(A,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(B,tc_Int_Oint),c_Int_Onumber__class_Onumber__of(A,tc_nat)))).  [resolve(303,a,310,a)].
% 1.75/2.00  Derived: c_Int_Onumber__class_Onumber__of(A,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(B,tc_Int_Oint),c_Int_Onumber__class_Onumber__of(A,tc_nat)),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,311,a)].
% 1.75/2.00  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,313,a)].
% 1.75/2.00  Derived: A = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,314,a)].
% 1.75/2.00  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))).  [resolve(303,a,315,a)].
% 1.75/2.00  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint))) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,316,a)].
% 1.75/2.00  Derived: -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_nat)),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,317,a)].
% 1.75/2.00  Derived: hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_nat)))).  [resolve(303,a,318,a)].
% 1.75/2.00  Derived: A = c_HOL_Ozero__class_Ozero(tc_nat) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A))) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))).  [resolve(303,a,319,a)].
% 1.75/2.00  320 class_Ring__and__Field_Omult__mono1(tc_nat) # label(clsarity_nat__Ring__and__Field_Omult__mono1) # label(axiom).  [assumption].
% 1.75/2.00  321 -class_Ring__and__Field_Omult__mono1(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(C,A),D)) # label(cls_mult__mono1_0) # label(axiom).  [assumption].
% 1.75/2.00  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).  [resolve(320,a,321,a)].
% 1.75/2.00  322 class_Ring__and__Field_Omult__mono1(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Omult__mono1) # label(axiom).  [assumption].
% 1.75/2.00  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),C)).  [resolve(322,a,321,a)].
% 1.75/2.00  323 class_Ring__and__Field_Omult__mono(tc_nat) # label(clsarity_nat__Ring__and__Field_Omult__mono) # label(axiom).  [assumption].
% 1.75/2.03  324 -class_Ring__and__Field_Omult__mono(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(C,A),D)) # label(cls_mult__left__mono_0) # label(axiom).  [assumption].
% 1.75/2.03  325 -class_Ring__and__Field_Omult__mono(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(B,A),D)) # label(cls_mult__right__mono_0) # label(axiom).  [assumption].
% 1.75/2.03  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).  [resolve(323,a,325,a)].
% 1.75/2.03  326 class_Ring__and__Field_Omult__mono(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Omult__mono) # label(axiom).  [assumption].
% 1.75/2.03  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),C)).  [resolve(326,a,325,a)].
% 1.75/2.03  327 class_Ring__and__Field_Opordered__ring(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Opordered__ring) # label(axiom).  [assumption].
% 1.75/2.03  328 -class_Ring__and__Field_Opordered__ring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(D,A),C)) # label(cls_mult__left__mono__neg_0) # label(axiom).  [assumption].
% 1.75/2.03  329 -class_Ring__and__Field_Opordered__ring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,C,A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(D,A),B)) # label(cls_mult__right__mono__neg_0) # label(axiom).  [assumption].
% 1.75/2.03  330 -class_Ring__and__Field_Opordered__ring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_split__mult__pos__le_0) # label(axiom).  [assumption].
% 1.75/2.03  331 -class_Ring__and__Field_Opordered__ring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_split__mult__pos__le_1) # label(axiom).  [assumption].
% 1.75/2.03  332 -class_Ring__and__Field_Opordered__ring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__nonpos__nonpos_0) # label(axiom).  [assumption].
% 1.75/2.03  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(A,C,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(C,tc_Int_Oint),B)).  [resolve(327,a,328,a)].
% 1.75/2.03  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,B,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(C,tc_Int_Oint),A)).  [resolve(327,a,329,a)].
% 1.75/2.03  333 class_SEQ_Obanach(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__SEQ_Obanach) # label(axiom).  [assumption].
% 1.75/2.03  334 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(B,A) != c_HOL_Ozero__class_Ozero(A) # label(cls_exp__not__eq__zero_0) # label(axiom).  [assumption].
% 1.75/2.03  335 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Oone__class_Oone(A) # label(cls_exp__zero_0) # label(axiom).  [assumption].
% 1.75/2.04  336 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(B,A),A) # label(cls_exp__minus_0) # label(axiom).  [assumption].
% 1.75/2.04  337 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(B,C,A),A) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A) # label(cls_exp__diff_0) # label(axiom).  [assumption].
% 1.75/2.04  Derived: -class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) | c_Transcendental_Oexp(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(333,a,334,a)].
% 1.75/2.04  Derived: -class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(333,a,335,a)].
% 1.75/2.04  Derived: -class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(333,a,336,a)].
% 1.75/2.04  Derived: -class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(A,tc_Complex_Ocomplex),c_Transcendental_Oexp(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(333,a,337,a)].
% 1.75/2.04  338 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) # label(axiom).  [assumption].
% 1.75/2.04  339 -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),B,A) = c_HOL_Oone__class_Oone(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_field__inverse_0) # label(axiom).  [assumption].
% 1.75/2.04  340 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_HOL_Oinverse__class_Odivide(B,C,A) != c_Int_Onumber__class_Onumber__of(D,A) | B = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq__number__of_0) # label(axiom).  [assumption].
% 1.75/2.04  341 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(B,A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq__number__of1_4) # label(axiom).  [assumption].
% 1.75/2.04  342 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A) = c_Int_Onumber__class_Onumber__of(B,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq__number__of_3) # label(axiom).  [assumption].
% 1.75/2.04  343 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A) = B | c_Int_Onumber__class_Onumber__of(C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__divide__eq__number__of1_0) # label(axiom).  [assumption].
% 1.75/2.04  344 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | B = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A) | c_Int_Onumber__class_Onumber__of(C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq__number__of1_0) # label(axiom).  [assumption].
% 1.75/2.04  345 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__divide__eq__number__of_3) # label(axiom).  [assumption].
% 1.75/2.04  346 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_HOL_Ozero__class_Ozero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A) = c_Int_Onumber__class_Onumber__of(B,A) # label(cls_divide__eq__eq__number__of_4) # label(axiom).  [assumption].
% 1.75/2.04  347 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_HOL_Ozero__class_Ozero(A) | c_Int_Onumber__class_Onumber__of(B,A) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A) # label(cls_eq__divide__eq__number__of_4) # label(axiom).  [assumption].
% 1.75/2.04  348 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_HOL_Oinverse__class_Odivide(C,D,A) | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A) = C | D = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__divide__eq__number__of_0) # label(axiom).  [assumption].
% 1.75/2.04  349 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | B = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A) | c_Int_Onumber__class_Onumber__of(C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__divide__eq__number__of1_3) # label(axiom).  [assumption].
% 1.75/2.04  350 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A) = B | c_Int_Onumber__class_Onumber__of(C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq__number__of1_3) # label(axiom).  [assumption].
% 1.75/2.04  351 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_HOL_Ozero__class_Ozero(A) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(B,A),A) # label(cls_eq__divide__eq__number__of1_4) # label(axiom).  [assumption].
% 1.75/2.04  352 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(A),A) = c_HOL_Oone__class_Oone(A) # label(cls_inverse__eq__1__iff_1) # label(axiom).  [assumption].
% 1.75/2.04  353 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(B,A) != c_HOL_Oone__class_Oone(A) | B = c_HOL_Oone__class_Oone(A) # label(cls_inverse__eq__1__iff_0) # label(axiom).  [assumption].
% 1.75/2.04  354 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A) # label(cls_inverse__mult__distrib_0) # label(axiom).  [assumption].
% 1.75/2.04  355 -class_Ring__and__Field_Ofield(A) | -class_Int_Onumber(A) | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(B,A),A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),c_Int_Onumber__class_Onumber__of(B,A),A) # label(cls_inverse__eq__divide__number__of_0) # label(axiom).  [assumption].
% 1.75/2.04  356 -class_Ring__and__Field_Ofield(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A) # label(cls_minus__divide__left_0) # label(axiom).  [assumption].
% 1.75/2.04  357 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A) = c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_minus__divide__right_0) # label(axiom).  [assumption].
% 1.75/2.04  358 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(B,C,A),A) = c_HOL_Oinverse__class_Odivide(C,B,A) # label(cls_inverse__divide_0) # label(axiom).  [assumption].
% 1.75/2.04  359 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A) # label(cls_mult__frac__frac_0) # label(axiom).  [assumption].
% 1.75/2.04  360 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Oinverse__class_Odivide(B,C,A) # label(cls_minus__divide__divide_0) # label(axiom).  [assumption].
% 1.75/2.04  361 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),D,A) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),C,A) # label(cls_mult__frac__num_0) # label(axiom).  [assumption].
% 1.75/2.04  362 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq_4) # label(axiom).  [assumption].
% 1.75/2.04  363 -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(B,C,A) != c_HOL_Otimes__class_Otimes(D,E,A) | C = c_HOL_Ozero__class_Ozero(A) | E = c_HOL_Ozero__class_Ozero(A) | c_HOL_Oinverse__class_Odivide(B,E,A) = c_HOL_Oinverse__class_Odivide(D,C,A) # label(cls_frac__eq__eq_1) # label(axiom).  [assumption].
% 1.75/2.04  364 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(B,C,A) != c_HOL_Oinverse__class_Odivide(D,E,A) | E = c_HOL_Ozero__class_Ozero(A) | C = c_HOL_Ozero__class_Ozero(A) | c_HOL_Otimes__class_Otimes(B,E,A) = c_HOL_Otimes__class_Otimes(D,C,A) # label(cls_frac__eq__eq_0) # label(axiom).  [assumption].
% 1.75/2.04  365 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_HOL_Ozero__class_Ozero(A) | c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(B,A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq__number__of1_1) # label(axiom).  [assumption].
% 1.75/2.04  366 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A) = B | C = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__divide__eq_0) # label(axiom).  [assumption].
% 1.75/2.04  367 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | B = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq_0) # label(axiom).  [assumption].
% 1.75/2.04  368 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Ozero__class_Ozero(A) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A) # label(cls_eq__divide__eq_4) # label(axiom).  [assumption].
% 1.75/2.04  369 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Oinverse__class_Odivide(B,C,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__minus__divide__divide_0) # label(axiom).  [assumption].
% 1.75/2.04  370 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(B,C,A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A) # label(cls_divide__inverse_0) # label(axiom).  [assumption].
% 1.75/2.04  371 -class_Ring__and__Field_Ofield(A) | -class_Int_Onumber__ring(A) | c_HOL_Oinverse__class_Odivide(B,C,A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A) # label(cls_class__fieldgb_Odivide__inverse_0) # label(axiom).  [assumption].
% 1.75/2.04  372 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Ozero__class_Ozero(A) | C = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A) # label(cls_eq__divide__imp_0) # label(axiom).  [assumption].
% 1.75/2.04  373 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Ozero__class_Ozero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A) = C # label(cls_divide__eq__imp_0) # label(axiom).  [assumption].
% 1.75/2.04  374 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | B = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__divide__eq_3) # label(axiom).  [assumption].
% 1.75/2.04  375 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A) = B | C = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq_3) # label(axiom).  [assumption].
% 1.75/2.04  376 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A) != c_Int_Onumber__class_Onumber__of(C,A) | c_Int_Onumber__class_Onumber__of(C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq__number__of_1) # label(axiom).  [assumption].
% 1.75/2.04  377 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_HOL_Ozero__class_Ozero(A) | c_HOL_Oinverse__class_Odivide(C,c_HOL_Ozero__class_Ozero(A),A) = c_Int_Onumber__class_Onumber__of(B,A) # label(cls_divide__eq__eq__number__of_2) # label(axiom).  [assumption].
% 1.75/2.04  378 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_HOL_Oinverse__class_Odivide(C,c_HOL_Ozero__class_Ozero(A),A) | c_Int_Onumber__class_Onumber__of(B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__divide__eq__number__of_1) # label(axiom).  [assumption].
% 1.75/2.04  379 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_HOL_Ozero__class_Ozero(A) | c_Int_Onumber__class_Onumber__of(B,A) = c_HOL_Oinverse__class_Odivide(C,c_HOL_Ozero__class_Ozero(A),A) # label(cls_eq__divide__eq__number__of_2) # label(axiom).  [assumption].
% 1.75/2.04  380 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | -class_Int_Onumber(A) | c_Int_Onumber__class_Onumber__of(B,A) != c_HOL_Ozero__class_Ozero(A) | c_HOL_Ozero__class_Ozero(A) = c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(B,A),A) # label(cls_eq__divide__eq__number__of1_2) # label(axiom).  [assumption].
% 1.75/2.04  381 -class_Ring__and__Field_Ofield(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A) = c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__minus__divide__right_0) # label(axiom).  [assumption].
% 1.75/2.04  382 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A) = c_HOL_Oinverse__class_Odivide(B,D,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__divide__mult__cancel__right_0) # label(axiom).  [assumption].
% 1.75/2.04  383 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) = c_HOL_Oinverse__class_Odivide(C,D,A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__divide__mult__cancel__left_0) # label(axiom).  [assumption].
% 1.75/2.04  384 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Oinverse(B,A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A) # label(cls_inverse__eq__divide_0) # label(axiom).  [assumption].
% 1.75/2.04  385 -class_Ring__and__Field_Ofield(A) | -class_Int_Onumber__ring(A) | c_HOL_Oinverse__class_Oinverse(B,A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A) # label(cls_class__fieldgb_Oinverse__divide_0) # label(axiom).  [assumption].
% 1.75/2.04  386 -class_Ring__and__Field_Ofield(A) | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A) | E = c_HOL_Ozero__class_Ozero(A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_diff__frac__eq_0) # label(axiom).  [assumption].
% 1.75/2.04  387 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Oinverse(B,A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__inverse__eq__divide_0) # label(axiom).  [assumption].
% 1.75/2.04  388 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Ozero__class_Ozero(A) = c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A) # label(cls_eq__divide__eq_2) # label(axiom).  [assumption].
% 1.75/2.04  389 -class_Ring__and__Field_Ofield(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),A),D) = c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(B,A),D),hAPP(c_Power_Opower__class_Opower(C,A),D),A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__power__divide_0) # label(axiom).  [assumption].
% 1.75/2.04  390 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__self__if_0) # label(axiom).  [assumption].
% 1.75/2.04  391 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(B,c_HOL_Oone__class_Oone(A),A) = B # label(cls_divide__1_0) # label(axiom).  [assumption].
% 1.75/2.04  392 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(B,C,A) != c_HOL_Oone__class_Oone(A) | C = c_HOL_Ozero__class_Ozero(A) | B = C # label(cls_right__inverse__eq_0) # label(axiom).  [assumption].
% 1.75/2.04  393 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),A),D) = c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(B,A),D),hAPP(c_Power_Opower__class_Opower(C,A),D),A) # label(cls_power__divide_0) # label(axiom).  [assumption].
% 1.75/2.04  394 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,C,A),D,A) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,D,A),c_HOL_Oinverse__class_Odivide(C,D,A),A) # label(cls_diff__divide__distrib_0) # label(axiom).  [assumption].
% 1.75/2.04  395 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),hAPP(c_Power_Opower__class_Opower(B,A),C),A) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),A),C) # label(cls_power__one__over_0) # label(axiom).  [assumption].
% 1.75/2.04  396 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Ozero__class_Ozero(A) | c_HOL_Oinverse__class_Odivide(B,B,A) = c_HOL_Oone__class_Oone(A) # label(cls_right__inverse__eq_1) # label(axiom).  [assumption].
% 1.75/2.04  397 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(B,B,A) = c_HOL_Oone__class_Oone(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__self_0) # label(axiom).  [assumption].
% 1.75/2.04  398 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(B,B,A) = c_HOL_Oone__class_Oone(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__self__if_1) # label(axiom).  [assumption].
% 1.75/2.04  399 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__zero__left_0) # label(axiom).  [assumption].
% 1.75/2.04  400 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__eq__eq_1) # label(axiom).  [assumption].
% 1.75/2.05  401 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide__zero_0) # label(axiom).  [assumption].
% 1.75/2.05  402 -class_Ring__and__Field_Ofield(A) | c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(B,A),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat),tc_nat,A) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(B,A),C),c_HOL_Oone__class_Oone(A),A),c_HOL_Ominus__class_Ominus(B,c_HOL_Oone__class_Oone(A),A),A) | B = c_HOL_Oone__class_Oone(A) # label(cls_geometric__sum_0) # label(axiom).  [assumption].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) != c_Int_Onumber__class_Onumber__of(C,tc_Complex_Ocomplex) | A = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,340,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,341,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,342,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A | c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,343,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | A = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,344,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,345,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex).  [resolve(338,a,346,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(338,a,347,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = B | C = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,348,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | A = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,349,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A | c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,350,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,351,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | A = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(338,a,353,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,354,a)].
% 1.75/2.05  Derived: -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,355,a)].
% 1.75/2.05  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(338,a,356,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,357,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(B,A,tc_Complex_Ocomplex).  [resolve(338,a,358,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,359,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex).  [resolve(338,a,360,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(338,a,361,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,362,a)].
% 1.75/2.05  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | D = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(A,D,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(C,B,tc_Complex_Ocomplex).  [resolve(338,a,363,a)].
% 1.75/2.05  Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(C,D,tc_Complex_Ocomplex) | D = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(A,D,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex).  [resolve(338,a,364,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,365,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = A | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,366,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | A = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,367,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(338,a,368,a)].
% 1.75/2.05  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,369,a)].
% 1.75/2.05  Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,370,a)].
% 1.75/2.05  Derived: A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(338,a,372,a)].
% 1.75/2.05  Derived: A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = B.  [resolve(338,a,373,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(B,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,376,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex).  [resolve(338,a,377,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,378,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,379,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | -class_Int_Onumber(tc_Complex_Ocomplex) | c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,380,a)].
% 1.75/2.05  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,381,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,C,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,382,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,383,a)].
% 1.75/2.05  Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(338,a,384,a)].
% 1.75/2.05  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,D,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | D = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,386,a)].
% 1.75/2.05  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,388,a)].
% 1.75/2.05  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),C) = c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),C),hAPP(c_Power_Opower__class_Opower(B,tc_Complex_Ocomplex),C),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,389,a)].
% 1.75/2.06  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,390,a)].
% 1.75/2.06  Derived: c_HOL_Oinverse__class_Odivide(A,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(338,a,391,a)].
% 1.75/2.06  Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = B.  [resolve(338,a,392,a)].
% 1.75/2.06  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),C) = c_HOL_Oinverse__class_Odivide(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),C),hAPP(c_Power_Opower__class_Opower(B,tc_Complex_Ocomplex),C),tc_Complex_Ocomplex).  [resolve(338,a,393,a)].
% 1.75/2.06  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(A,C,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(338,a,394,a)].
% 1.75/2.06  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),B).  [resolve(338,a,395,a)].
% 1.75/2.06  Derived: A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(A,A,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(338,a,396,a)].
% 1.75/2.06  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,399,a)].
% 1.75/2.06  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(338,a,400,a)].
% 1.75/2.06  Derived: c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat),tc_nat,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) | A = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(338,a,402,a)].
% 1.75/2.06  403 class_OrderedGroup_Oab__group__add(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Oab__group__add) # label(axiom).  [assumption].
% 1.75/2.06  404 -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A) # label(cls_Lim_Ominus__diff__minus_0) # label(axiom).  [assumption].
% 1.75/2.06  405 -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A) = c_HOL_Ominus__class_Ominus(C,B,A) # label(cls_minus__diff__eq_0) # label(axiom).  [assumption].
% 1.75/2.06  406 -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,tc_nat),tc_nat,A),c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,E,tc_nat),tc_nat,A),A) = c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(E,D,tc_nat),tc_nat,A) | -hBOOL(hAPP(c_lessequals(E,tc_nat),D)) | -hBOOL(hAPP(c_lessequals(C,tc_nat),E)) # label(cls_setsum__diff__nat__ivl_0) # label(axiom).  [assumption].
% 1.84/2.08  407 -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__iff__diff__eq__0_0) # label(axiom).  [assumption].
% 1.84/2.08  408 -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,B,A) != c_HOL_Ominus__class_Ominus(C,D,A) | C = D # label(cls_eq__eqI_0) # label(axiom).  [assumption].
% 1.84/2.08  409 -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ominus__class_Ominus(D,D,A) | B = C # label(cls_eq__eqI_1) # label(axiom).  [assumption].
% 1.84/2.08  410 -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = C # label(cls_eq__iff__diff__eq__0_1) # label(axiom).  [assumption].
% 1.84/2.08  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint),tc_Int_Oint).  [resolve(403,a,404,a)].
% 1.84/2.08  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint),tc_Int_Oint) = c_HOL_Ominus__class_Ominus(B,A,tc_Int_Oint).  [resolve(403,a,405,a)].
% 1.84/2.08  Derived: c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(B,C,tc_nat),tc_nat,tc_Int_Oint),c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(B,D,tc_nat),tc_nat,tc_Int_Oint),tc_Int_Oint) = c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(D,C,tc_nat),tc_nat,tc_Int_Oint) | -hBOOL(hAPP(c_lessequals(D,tc_nat),C)) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)).  [resolve(403,a,406,a)].
% 1.84/2.08  Derived: c_HOL_Ominus__class_Ominus(A,A,tc_Int_Oint) != c_HOL_Ominus__class_Ominus(B,C,tc_Int_Oint) | B = C.  [resolve(403,a,408,a)].
% 1.84/2.08  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Int_Oint) != c_HOL_Ominus__class_Ominus(C,C,tc_Int_Oint) | A = B.  [resolve(403,a,409,a)].
% 1.84/2.08  411 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) # label(axiom).  [assumption].
% 1.84/2.08  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(411,a,404,a)].
% 1.84/2.08  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(B,A,tc_Complex_Ocomplex).  [resolve(411,a,405,a)].
% 1.84/2.08  Derived: c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(B,C,tc_nat),tc_nat,tc_Complex_Ocomplex),c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(B,D,tc_nat),tc_nat,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(D,C,tc_nat),tc_nat,tc_Complex_Ocomplex) | -hBOOL(hAPP(c_lessequals(D,tc_nat),C)) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)).  [resolve(411,a,406,a)].
% 1.84/2.08  Derived: c_HOL_Ominus__class_Ominus(A,A,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(B,C,tc_Complex_Ocomplex) | B = C.  [resolve(411,a,408,a)].
% 1.84/2.08  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(C,C,tc_Complex_Ocomplex) | A = B.  [resolve(411,a,409,a)].
% 1.84/2.08  412 class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring__1) # label(axiom).  [assumption].
% 1.84/2.08  413 -class_Ring__and__Field_Ocomm__ring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ominus__class_Ominus(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,A) # label(cls_dvd__diff_0) # label(axiom).  [assumption].
% 1.84/2.08  414 -class_Ring__and__Field_Ocomm__ring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_dvd__minus__iff_0) # label(axiom).  [assumption].
% 1.84/2.08  415 -class_Ring__and__Field_Ocomm__ring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ouminus__class_Ouminus(C,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,A) # label(cls_dvd__minus__iff_1) # label(axiom).  [assumption].
% 1.84/2.10  416 -class_Ring__and__Field_Ocomm__ring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(B,A),C,A) # label(cls_minus__dvd__iff_0) # label(axiom).  [assumption].
% 1.84/2.10  417 -class_Ring__and__Field_Ocomm__ring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(B,A),C,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,A) # label(cls_minus__dvd__iff_1) # label(axiom).  [assumption].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ominus__class_Ominus(B,C,tc_Int_Oint),tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint).  [resolve(412,a,413,a)].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint).  [resolve(412,a,414,a)].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ouminus__class_Ouminus(B,tc_Int_Oint),tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint).  [resolve(412,a,415,a)].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),B,tc_Int_Oint).  [resolve(412,a,416,a)].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),B,tc_Int_Oint) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Int_Oint).  [resolve(412,a,417,a)].
% 1.84/2.10  418 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1) # label(axiom).  [assumption].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ominus__class_Ominus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex).  [resolve(418,a,413,a)].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(418,a,414,a)].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex).  [resolve(418,a,415,a)].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(418,a,416,a)].
% 1.84/2.10  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Complex_Ocomplex).  [resolve(418,a,417,a)].
% 1.84/2.10  419 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Ocomm__monoid__mult) # label(axiom).  [assumption].
% 1.84/2.10  420 -class_OrderedGroup_Ocomm__monoid__mult(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A) = B # label(cls_mult__1_0) # label(axiom).  [assumption].
% 1.84/2.10  421 -class_OrderedGroup_Ocomm__monoid__mult(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),A),D) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(B,A),D),hAPP(c_Power_Opower__class_Opower(C,A),D),A) # label(cls_power__mult__distrib_0) # label(axiom).  [assumption].
% 1.84/2.10  422 class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult) # label(axiom).  [assumption].
% 1.84/2.10  423 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) # label(axiom).  [assumption].
% 1.84/2.10  424 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring) # label(axiom).  [assumption].
% 1.84/2.10  425 -class_Ring__and__Field_Opordered__cancel__semiring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__nonneg__nonneg_0) # label(axiom).  [assumption].
% 1.89/2.13  426 -class_Ring__and__Field_Opordered__cancel__semiring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_split__mult__neg__le_0) # label(axiom).  [assumption].
% 1.89/2.13  427 -class_Ring__and__Field_Opordered__cancel__semiring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_split__mult__neg__le_1) # label(axiom).  [assumption].
% 1.89/2.13  428 -class_Ring__and__Field_Opordered__cancel__semiring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_mult__nonneg__nonpos_0) # label(axiom).  [assumption].
% 1.89/2.13  429 -class_Ring__and__Field_Opordered__cancel__semiring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_mult__nonpos__nonneg_0) # label(axiom).  [assumption].
% 1.89/2.13  430 -class_Ring__and__Field_Opordered__cancel__semiring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) # label(cls_mult__nonneg__nonpos2_0) # label(axiom).  [assumption].
% 1.89/2.13  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(424,a,425,a)].
% 1.89/2.13  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) | -hBOOL(hAPP(c_lessequals(B,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).  [resolve(424,a,426,a)].
% 1.89/2.13  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).  [resolve(424,a,427,a)].
% 1.89/2.13  431 class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring) # label(axiom).  [assumption].
% 1.89/2.13  432 class_OrderedGroup_Oab__semigroup__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 1.89/2.13  433 -class_OrderedGroup_Oab__semigroup__mult(A) | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) # label(axiom).  [assumption].
% 1.89/2.13  434 class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 1.89/2.13  435 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 1.89/2.13  436 class_Ring__and__Field_Opordered__semiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Opordered__semiring) # label(axiom).  [assumption].
% 1.89/2.13  437 -class_Ring__and__Field_Opordered__semiring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,E,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D)) | -hBOOL(hAPP(c_lessequals(C,A),E)) | -hBOOL(hAPP(c_lessequals(B,A),D)) # label(cls_mult__mono_0) # label(axiom).  [assumption].
% 1.89/2.16  438 -class_Ring__and__Field_Opordered__semiring(A) | hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,E,A))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(C,A),E)) | -hBOOL(hAPP(c_lessequals(B,A),D)) # label(cls_mult__mono_H_0) # label(axiom).  [assumption].
% 1.89/2.16  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).  [resolve(436,a,437,a)].
% 1.89/2.16  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)) | -hBOOL(hAPP(c_lessequals(B,tc_nat),D)) | -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).  [resolve(436,a,438,a)].
% 1.89/2.16  439 class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring) # label(axiom).  [assumption].
% 1.89/2.16  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),C)) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),D)) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),C)).  [resolve(439,a,437,a)].
% 1.89/2.16  Derived: hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(C,D,tc_Int_Oint))) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),A)) | -hBOOL(hAPP(c_lessequals(B,tc_Int_Oint),D)) | -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),C)).  [resolve(439,a,438,a)].
% 1.89/2.16  440 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) # label(axiom).  [assumption].
% 1.89/2.16  441 -class_OrderedGroup_Olordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ouminus__class_Ouminus(B,A))) # label(cls_le__minus__self__iff_0) # label(axiom).  [assumption].
% 1.89/2.16  442 -class_OrderedGroup_Olordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ouminus__class_Ouminus(B,A))) | -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))) # label(cls_le__minus__self__iff_1) # label(axiom).  [assumption].
% 1.89/2.16  443 -class_OrderedGroup_Olordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),B)) # label(cls_minus__le__self__iff_0) # label(axiom).  [assumption].
% 1.89/2.16  444 -class_OrderedGroup_Olordered__ab__group__add(A) | hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),B)) | -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)) # label(cls_minus__le__self__iff_1) # label(axiom).  [assumption].
% 1.89/2.16  445 class_Ring__and__Field_Oring__1(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oring__1) # label(axiom).  [assumption].
% 1.89/2.16  446 -class_Ring__and__Field_Oring__1(A) | hAPP(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,A),A),C) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),A),C),hAPP(c_Power_Opower__class_Opower(B,A),C),A) # label(cls_power__minus_0) # label(axiom).  [assumption].
% 1.89/2.16  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(A,tc_Int_Oint),tc_Int_Oint),B) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),B),hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B),tc_Int_Oint).  [resolve(445,a,446,a)].
% 1.89/2.17  447 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1) # label(axiom).  [assumption].
% 1.89/2.17  Derived: hAPP(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),B) = c_HOL_Otimes__class_Otimes(hAPP(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),B),hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B),tc_Complex_Ocomplex).  [resolve(447,a,446,a)].
% 1.89/2.17  448 class_OrderedGroup_Ocomm__monoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocomm__monoid__add) # label(axiom).  [assumption].
% 1.89/2.17  449 -class_HOL_Oord(A) | -class_OrderedGroup_Ocomm__monoid__add(B) | c_Finite__Set_Osetsum(C,c_SetInterval_Oord__class_OatLeastLessThan(D,E,A),A,B) = c_Finite__Set_Osetsum(F,c_SetInterval_Oord__class_OatLeastLessThan(D,E,A),A,B) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(D,E,C,F,A,B),A),E)) # label(cls_setsum__ivl__cong_1) # label(axiom).  [assumption].
% 1.89/2.17  450 -class_HOL_Oord(A) | -class_OrderedGroup_Ocomm__monoid__add(B) | c_Finite__Set_Osetsum(C,c_SetInterval_Oord__class_OatLeastLessThan(D,E,A),A,B) = c_Finite__Set_Osetsum(F,c_SetInterval_Oord__class_OatLeastLessThan(D,E,A),A,B) | hBOOL(hAPP(c_lessequals(D,A),c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(D,E,C,F,A,B))) # label(cls_setsum__ivl__cong_0) # label(axiom).  [assumption].
% 1.89/2.17  451 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,c_Suc(D),tc_nat),tc_nat,A) = c_HOL_Ozero__class_Ozero(A) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,tc_nat),C)) # label(cls_setsum__op__ivl__Suc_0) # label(axiom).  [assumption].
% 1.89/2.17  452 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(A),A,B),C,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_setsum__0_0) # label(axiom).  [assumption].
% 1.89/2.17  453 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_setsum__empty_0) # label(axiom).  [assumption].
% 1.89/2.17  454 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(B,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(C,B,D,A)) != c_HOL_Ozero__class_Ozero(A) | c_Finite__Set_Osetsum(B,C,D,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_setsum__0_H_1) # label(axiom).  [assumption].
% 1.89/2.17  455 -class_HOL_Oord(A) | -class_OrderedGroup_Ocomm__monoid__add(B) | hAPP(C,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(D,E,C,F,A,B)) != hAPP(F,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(D,E,C,F,A,B)) | c_Finite__Set_Osetsum(C,c_SetInterval_Oord__class_OatLeastLessThan(D,E,A),A,B) = c_Finite__Set_Osetsum(F,c_SetInterval_Oord__class_OatLeastLessThan(D,E,A),A,B) # label(cls_setsum__ivl__cong_2) # label(axiom).  [assumption].
% 1.89/2.17  456 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(B,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(A) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),C,tc_nat),tc_nat,A) = c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat),tc_nat,A) # label(cls_setsum__shift__lb__Suc0__0__upt_0) # label(axiom).  [assumption].
% 1.89/2.17  Derived: -class_HOL_Oord(A) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_nat) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_nat) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_nat),A),D)).  [resolve(448,a,449,b)].
% 1.89/2.17  Derived: -class_HOL_Oord(A) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_nat) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_nat) | hBOOL(hAPP(c_lessequals(C,A),c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_nat))).  [resolve(448,a,450,b)].
% 1.89/2.17  Derived: c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(B,c_Suc(C),tc_nat),tc_nat,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),B)).  [resolve(448,a,451,a)].
% 1.89/2.17  Derived: c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat,A),B,A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(448,a,452,a)].
% 1.89/2.17  Derived: c_Finite__Set_Osetsum(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(448,a,453,a)].
% 1.89/2.17  Derived: hAPP(A,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(B,A,C,tc_nat)) != c_HOL_Ozero__class_Ozero(tc_nat) | c_Finite__Set_Osetsum(A,B,C,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat).  [resolve(448,a,454,a)].
% 1.89/2.17  Derived: -class_HOL_Oord(A) | hAPP(B,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_nat)) != hAPP(E,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_nat)) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_nat) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_nat).  [resolve(448,a,455,b)].
% 1.89/2.17  Derived: hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_nat) | c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),B,tc_nat),tc_nat,tc_nat) = c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat),tc_nat,tc_nat).  [resolve(448,a,456,a)].
% 1.89/2.17  457 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) # label(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) # label(axiom).  [assumption].
% 1.89/2.17  Derived: -class_HOL_Oord(A) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Int_Oint) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Int_Oint) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_Int_Oint),A),D)).  [resolve(457,a,449,b)].
% 1.89/2.17  Derived: -class_HOL_Oord(A) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Int_Oint) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Int_Oint) | hBOOL(hAPP(c_lessequals(C,A),c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_Int_Oint))).  [resolve(457,a,450,b)].
% 1.89/2.17  Derived: c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(B,c_Suc(C),tc_nat),tc_nat,tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),B)).  [resolve(457,a,451,a)].
% 1.89/2.17  Derived: c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint,A),B,A,tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(457,a,452,a)].
% 1.89/2.17  Derived: c_Finite__Set_Osetsum(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(457,a,453,a)].
% 1.89/2.17  Derived: hAPP(A,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(B,A,C,tc_Int_Oint)) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | c_Finite__Set_Osetsum(A,B,C,tc_Int_Oint) = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(457,a,454,a)].
% 1.89/2.17  Derived: -class_HOL_Oord(A) | hAPP(B,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_Int_Oint)) != hAPP(E,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_Int_Oint)) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Int_Oint) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Int_Oint).  [resolve(457,a,455,b)].
% 1.89/2.17  Derived: hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),B,tc_nat),tc_nat,tc_Int_Oint) = c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat),tc_nat,tc_Int_Oint).  [resolve(457,a,456,a)].
% 1.89/2.18  458 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) # label(axiom).  [assumption].
% 1.89/2.18  Derived: -class_HOL_Oord(A) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Complex_Ocomplex) | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_Complex_Ocomplex),A),D)).  [resolve(458,a,449,b)].
% 1.89/2.18  Derived: -class_HOL_Oord(A) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Complex_Ocomplex) | hBOOL(hAPP(c_lessequals(C,A),c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_Complex_Ocomplex))).  [resolve(458,a,450,b)].
% 1.89/2.18  Derived: c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(B,c_Suc(C),tc_nat),tc_nat,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),B)).  [resolve(458,a,451,a)].
% 1.89/2.18  Derived: c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex,A),B,A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(458,a,452,a)].
% 1.89/2.18  Derived: c_Finite__Set_Osetsum(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(458,a,453,a)].
% 1.89/2.18  Derived: hAPP(A,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(B,A,C,tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_Finite__Set_Osetsum(A,B,C,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(458,a,454,a)].
% 1.89/2.18  Derived: -class_HOL_Oord(A) | hAPP(B,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_Complex_Ocomplex)) != hAPP(E,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(C,D,B,E,A,tc_Complex_Ocomplex)) | c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(E,c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),A,tc_Complex_Ocomplex).  [resolve(458,a,455,b)].
% 1.89/2.18  Derived: hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),B,tc_nat),tc_nat,tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat),tc_nat,tc_Complex_Ocomplex).  [resolve(458,a,456,a)].
% 1.89/2.18  459 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) # label(axiom).  [assumption].
% 1.89/2.18  460 -class_RealVector_Oreal__normed__vector(A) | c_Series_Osums(B,c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat),tc_nat,A),A) | hBOOL(hAPP(c_lessequals(C,tc_nat),c_Series_Osko__Series__Xseries__zero__1__1(B,C,A))) # label(cls_series__zero_0) # label(axiom).  [assumption].
% 1.89/2.18  461 -class_RealVector_Oreal__normed__vector(A) | hAPP(B,c_Series_Osko__Series__Xseries__zero__1__1(B,C,A)) != c_HOL_Ozero__class_Ozero(A) | c_Series_Osums(B,c_Finite__Set_Osetsum(B,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat),tc_nat,A),A) # label(cls_series__zero_1) # label(axiom).  [assumption].
% 1.89/2.18  Derived: c_Series_Osums(A,c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat),tc_nat,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | hBOOL(hAPP(c_lessequals(B,tc_nat),c_Series_Osko__Series__Xseries__zero__1__1(A,B,tc_Complex_Ocomplex))).  [resolve(459,a,460,a)].
% 1.89/2.18  Derived: hAPP(A,c_Series_Osko__Series__Xseries__zero__1__1(A,B,tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_Series_Osums(A,c_Finite__Set_Osetsum(A,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat),tc_nat,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(459,a,461,a)].
% 4.09/4.37  462 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) # label(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors) # label(axiom).  [assumption].
% 4.09/4.37  463 -class_Ring__and__Field_Oring__1__no__zero__divisors(A) | hAPP(c_Power_Opower__class_Opower(B,A),C) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_field__power__not__zero_0) # label(axiom).  [assumption].
% 4.09/4.37  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Int_Oint),B) != c_HOL_Ozero__class_Ozero(tc_Int_Oint) | A = c_HOL_Ozero__class_Ozero(tc_Int_Oint).  [resolve(462,a,463,a)].
% 4.09/4.37  464 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors) # label(axiom).  [assumption].
% 4.09/4.37  Derived: hAPP(c_Power_Opower__class_Opower(A,tc_Complex_Ocomplex),B) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(464,a,463,a)].
% 4.09/4.37  465 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom).  [assumption].
% 4.09/4.37  466 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom).  [assumption].
% 4.09/4.37  Derived: A = A.  [resolve(465,b,466,a)].
% 4.09/4.37  
% 4.09/4.37  ============================== end predicate elimination =============
% 4.09/4.37  
% 4.09/4.37  Auto_denials:  (non-Horn, no changes).
% 4.09/4.37  
% 4.09/4.37  Term ordering decisions:
% 4.09/4.37  Function symbol KB weights:  tc_Int_Oint=1. tc_nat=1. tc_Complex_Ocomplex=1. tc_bool=1. v_n=1. v_k=1. hAPP=1. c_HOL_Oord__class_Oless=1. c_lessequals=1. c_Power_Opower__class_Opower=1. c_HOL_Ouminus__class_Ouminus=1. c_Int_Onumber__class_Onumber__of=1. c_HOL_Oinverse__class_Oinverse=1. tc_fun=1. c_SetInterval_Oord__class_OlessThan=1. c_Transcendental_Oexp=1. c_HOL_Ozero__class_Ozero=1. c_Suc=1. c_HOL_Oone__class_Oone=1. c_Orderings_Obot__class_Obot=1. c_FFT__Mirabelle_Oroot=1. c_HOL_Otimes__class_Otimes=1. c_HOL_Oinverse__class_Odivide=1. c_HOL_Ominus__class_Ominus=1. c_SetInterval_Oord__class_OatLeastLessThan=1. c_COMBK=1. c_Finite__Set_Osetsum=1. c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1=1. c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1=1.
% 4.09/4.37  
% 4.09/4.37  ============================== end of process initial clauses ========
% 4.09/4.37  
% 4.09/4.37  ============================== CLAUSES FOR SEARCH ====================
% 4.09/4.37  
% 4.09/4.37  ============================== end of clauses for search =============
% 4.09/4.37  
% 4.09/4.37  ============================== SEARCH ================================
% 4.09/4.37  
% 4.09/4.37  % Starting search at 0.94 seconds.
% 4.09/4.37  
% 4.09/4.37  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 43 (0.00 of 1.14 sec).
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=42.000, iters=3495
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=40.000, iters=3364
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=39.000, iters=3333
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=38.000, iters=3346
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=37.000, iters=3352
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=36.000, iters=3343
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=35.000, iters=3359
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=34.000, iters=3351
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=33.000, iters=3411
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=31.000, iters=3340
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=30.000, iters=3370
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=29.000, iters=3334
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=28.000, iters=3342
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=27.000, iters=3382
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=26.000, iters=3389
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=25.000, iters=3350
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=24.000, iters=3342
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=23.000, iters=3349
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=22.000, iters=3340
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=21.000, iters=3337
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=20.000, iters=3351
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=19.000, iters=3341
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=18.000, iters=3339
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=17.000, iters=3339
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=16.000, iters=3343
% 4.09/4.37  
% 4.09/4.37  Low Water (keep): wt=15.000, iters=3334
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=4430, wt=75.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=3157, wt=67.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=3942, wt=64.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=3191, wt=63.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=4576, wt=62.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=4374, wt=61.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=4838, wt=60.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=4577, wt=59.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=3998, wt=57.000
% 4.09/4.37  
% 4.09/4.37  Low Water (displace): id=4001, wt=55.000
% 4.09/4.37  
% 4.09/4.37  LoCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------