TSTP Solution File: ALG436-1 by Prover9---1109a

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : ALG436-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n017.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 : Thu Jul 14 17:54:51 EDT 2022

% Result   : Unsatisfiable 1.28s 1.55s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ALG436-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.11  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.32  % Computer : n017.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Wed Jun  8 08:58:48 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.83/1.13  ============================== Prover9 ===============================
% 0.83/1.13  Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.13  Process 669 was started by sandbox on n017.cluster.edu,
% 0.83/1.13  Wed Jun  8 08:58:49 2022
% 0.83/1.13  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32645_n017.cluster.edu".
% 0.83/1.13  ============================== end of head ===========================
% 0.83/1.13  
% 0.83/1.13  ============================== INPUT =================================
% 0.83/1.13  
% 0.83/1.13  % Reading from file /tmp/Prover9_32645_n017.cluster.edu
% 0.83/1.13  
% 0.83/1.13  set(prolog_style_variables).
% 0.83/1.13  set(auto2).
% 0.83/1.13      % set(auto2) -> set(auto).
% 0.83/1.13      % set(auto) -> set(auto_inference).
% 0.83/1.13      % set(auto) -> set(auto_setup).
% 0.83/1.13      % set(auto_setup) -> set(predicate_elim).
% 0.83/1.13      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.13      % set(auto) -> set(auto_limits).
% 0.83/1.13      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.13      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.13      % set(auto) -> set(auto_denials).
% 0.83/1.13      % set(auto) -> set(auto_process).
% 0.83/1.13      % set(auto2) -> assign(new_constants, 1).
% 0.83/1.13      % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.13      % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.13      % set(auto2) -> assign(max_hours, 1).
% 0.83/1.13      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.13      % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.13      % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.13      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.13      % set(auto2) -> set(sort_initial_sos).
% 0.83/1.13      % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.13      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.13      % set(auto2) -> assign(max_megs, 400).
% 0.83/1.13      % set(auto2) -> assign(stats, some).
% 0.83/1.13      % set(auto2) -> clear(echo_input).
% 0.83/1.13      % set(auto2) -> set(quiet).
% 0.83/1.13      % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.13      % set(auto2) -> clear(print_given).
% 0.83/1.13  assign(lrs_ticks,-1).
% 0.83/1.13  assign(sos_limit,10000).
% 0.83/1.13  assign(order,kbo).
% 0.83/1.13  set(lex_order_vars).
% 0.83/1.13  clear(print_given).
% 0.83/1.13  
% 0.83/1.13  % formulas(sos).  % not echoed (481 formulas)
% 0.83/1.13  
% 0.83/1.13  ============================== end of input ==========================
% 0.83/1.13  
% 0.83/1.13  % From the command line: assign(max_seconds, 300).
% 0.83/1.13  
% 0.83/1.13  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.13  
% 0.83/1.13  % Formulas that are not ordinary clauses:
% 0.83/1.13  
% 0.83/1.13  ============================== end of process non-clausal formulas ===
% 0.83/1.13  
% 0.83/1.13  ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.13  
% 0.83/1.13  ============================== PREDICATE ELIMINATION =================
% 0.83/1.13  1 class_OrderedGroup_Ogroup__add(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Ogroup__add) # label(axiom).  [assumption].
% 0.83/1.13  2 -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].
% 0.83/1.13  3 -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].
% 0.83/1.13  4 -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].
% 0.83/1.13  5 -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].
% 0.83/1.13  6 -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].
% 0.83/1.13  7 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A) = C # label(cls_add__minus__cancel_0) # label(axiom).  [assumption].
% 0.83/1.13  8 -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].
% 0.83/1.13  9 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) = c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_diff__minus_0) # label(axiom).  [assumption].
% 0.83/1.13  10 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A) = B # label(cls_diff__add__cancel_0) # label(axiom).  [assumption].
% 0.83/1.13  11 -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].
% 0.83/1.13  12 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__neg__iff__add__eq__0_0) # label(axiom).  [assumption].
% 0.83/1.13  13 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_right__minus_0) # label(axiom).  [assumption].
% 0.83/1.13  14 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_left__minus_0) # label(axiom).  [assumption].
% 0.83/1.13  15 -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].
% 0.83/1.13  16 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Oplus__class_Oplus(B,C,A) # label(cls_diff__minus__eq__add_0) # label(axiom).  [assumption].
% 0.83/1.13  17 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A) = B # label(cls_add__diff__cancel_0) # label(axiom).  [assumption].
% 0.83/1.13  18 -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].
% 0.83/1.13  19 -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].
% 0.83/1.13  20 -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].
% 0.83/1.13  21 -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].
% 0.83/1.13  22 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | c_HOL_Ouminus__class_Ouminus(B,A) = C # label(cls_minus__unique_0) # label(axiom).  [assumption].
% 0.83/1.13  23 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ouminus__class_Ouminus(C,A) # label(cls_eq__neg__iff__add__eq__0_1) # label(axiom).  [assumption].
% 0.83/1.13  24 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A) = C # label(cls_minus__add__cancel_0) # label(axiom).  [assumption].
% 0.83/1.13  25 -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].
% 0.83/1.13  26 -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].
% 0.83/1.13  27 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_minus__add_0) # label(axiom).  [assumption].
% 0.83/1.13  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat) != c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat) | A = B.  [resolve(1,a,2,a)].
% 0.83/1.13  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(1,a,3,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,A,tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(1,a,4,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat) = A.  [resolve(1,a,5,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),B,tc_Rational_Orat),tc_Rational_Orat) = B.  [resolve(1,a,7,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),A,tc_Rational_Orat) = c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat).  [resolve(1,a,8,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(1,a,9,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_Rational_Orat),B,tc_Rational_Orat) = A.  [resolve(1,a,10,a)].
% 0.83/1.13  Derived: c_HOL_Ozero__class_Ozero(tc_Rational_Orat) != c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat) | c_HOL_Ozero__class_Ozero(tc_Rational_Orat) = A.  [resolve(1,a,11,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),A,tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(1,a,12,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(1,a,13,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = B.  [resolve(1,a,15,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat).  [resolve(1,a,16,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat),B,tc_Rational_Orat) = A.  [resolve(1,a,17,a)].
% 0.83/1.13  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),tc_Rational_Orat) = A.  [resolve(1,a,18,a)].
% 0.83/1.13  Derived: A = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),tc_Rational_Orat).  [resolve(1,a,19,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat) = B.  [resolve(1,a,22,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat).  [resolve(1,a,23,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat),tc_Rational_Orat) = B.  [resolve(1,a,24,a)].
% 0.83/1.13  Derived: c_HOL_Ozero__class_Ozero(tc_Rational_Orat) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat).  [resolve(1,a,25,a)].
% 0.83/1.13  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(1,a,26,a)].
% 0.83/1.13  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),tc_Rational_Orat).  [resolve(1,a,27,a)].
% 0.83/1.13  28 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) # label(axiom).  [assumption].
% 0.83/1.13  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex) | A = B.  [resolve(28,a,2,a)].
% 0.83/1.13  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(28,a,3,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(28,a,4,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(28,a,5,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = B.  [resolve(28,a,7,a)].
% 0.83/1.13  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(28,a,8,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(28,a,9,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = A.  [resolve(28,a,10,a)].
% 0.83/1.13  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(28,a,11,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(28,a,12,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(28,a,13,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = B.  [resolve(28,a,15,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex).  [resolve(28,a,16,a)].
% 0.83/1.13  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = A.  [resolve(28,a,17,a)].
% 0.83/1.13  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(28,a,18,a)].
% 0.83/1.13  Derived: A = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(28,a,19,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) = B.  [resolve(28,a,22,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex).  [resolve(28,a,23,a)].
% 0.83/1.13  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = B.  [resolve(28,a,24,a)].
% 0.83/1.13  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(28,a,25,a)].
% 0.83/1.13  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(28,a,26,a)].
% 0.83/1.13  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(28,a,27,a)].
% 0.83/1.13  29 class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Oab__group__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add) # label(axiom).  [assumption].
% 0.83/1.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)) != c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)) | B = C.  [resolve(29,a,2,a)].
% 0.83/1.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(29,a,3,a)].
% 0.83/1.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(29,a,4,a)].
% 0.83/1.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B.  [resolve(29,a,5,a)].
% 0.83/1.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = C.  [resolve(29,a,7,a)].
% 0.83/1.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)).  [resolve(29,a,8,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(29,a,9,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = B.  [resolve(29,a,10,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) != c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)) | c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) = B.  [resolve(29,a,11,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(29,a,12,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(29,a,13,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = C.  [resolve(29,a,15,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(B,c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)).  [resolve(29,a,16,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = B.  [resolve(29,a,17,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B.  [resolve(29,a,18,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(29,a,19,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)) = C.  [resolve(29,a,22,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)).  [resolve(29,a,23,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = C.  [resolve(29,a,24,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(29,a,25,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(29,a,26,a)].
% 0.83/1.15  Derived: -class_OrderedGroup_Oab__group__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(29,a,27,a)].
% 0.83/1.15  30 class_Ring__and__Field_Ofield(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Ofield) # label(axiom).  [assumption].
% 0.83/1.15  31 -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].
% 0.83/1.15  32 -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].
% 0.83/1.15  33 -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].
% 0.83/1.15  34 -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].
% 0.83/1.15  35 -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].
% 0.83/1.15  36 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A) # label(cls_power__divide_0) # label(axiom).  [assumption].
% 0.83/1.15  37 -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].
% 0.83/1.15  38 -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].
% 0.83/1.15  39 -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].
% 0.83/1.15  40 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(B,C,A),D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,D,tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_smult__dvd__iff_2) # label(axiom).  [assumption].
% 0.83/1.15  41 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) | D = c_HOL_Ozero__class_Ozero(A) | -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(D,B,A),C,tc_Polynomial_Opoly(A)) # label(cls_smult__dvd__iff_1) # label(axiom).  [assumption].
% 0.83/1.15  42 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(C,D,A),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_dvd__smult__iff_1) # label(axiom).  [assumption].
% 0.83/1.15  43 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(D,C,A),tc_Polynomial_Opoly(A)) | D = c_HOL_Ozero__class_Ozero(A) # label(cls_dvd__smult__iff_0) # label(axiom).  [assumption].
% 0.83/1.15  44 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(B,C,A),D,tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(A) | -c_Ring__and__Field_Odvd__class_Odvd(C,D,tc_Polynomial_Opoly(A)) # label(cls_smult__dvd_0) # label(axiom).  [assumption].
% 0.83/1.15  45 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) | D = c_HOL_Ozero__class_Ozero(A) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(D,C,A),tc_Polynomial_Opoly(A)) # label(cls_dvd__smult__cancel_0) # label(axiom).  [assumption].
% 0.83/1.15  46 -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].
% 0.83/1.15  47 -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].
% 0.83/1.15  48 -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].
% 0.83/1.15  49 -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].
% 0.83/1.15  50 -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].
% 0.83/1.15  51 -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(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_Oplus__class_Oplus(B,C,A),c_HOL_Oinverse__class_Oinverse(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_inverse__add_0) # label(axiom).  [assumption].
% 0.83/1.15  52 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),D,A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,C,A),A),C,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_add__frac__num_0) # label(axiom).  [assumption].
% 0.83/1.15  53 -class_Ring__and__Field_Ofield(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Oinverse__class_Odivide(C,D,A),A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(C,c_HOL_Otimes__class_Otimes(B,D,A),A),D,A) | D = c_HOL_Ozero__class_Ozero(A) # label(cls_add__num__frac_0) # label(axiom).  [assumption].
% 0.83/1.15  54 -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].
% 0.83/1.15  55 -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].
% 0.83/1.15  56 -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].
% 0.83/1.15  57 -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].
% 0.83/1.15  58 -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].
% 0.83/1.15  59 -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),c_Power_Opower__class_Opower(B,C,A),A) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),C,A) # label(cls_power__one__over_0) # label(axiom).  [assumption].
% 0.83/1.15  60 -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].
% 0.83/1.15  61 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(B,c_Polynomial_Opoly__gcd(C,D,A),A) = c_Polynomial_Opoly__gcd(C,c_Polynomial_Opoly__gcd(B,D,A),A) # label(cls_poly__gcd__left__commute_0) # label(axiom).  [assumption].
% 0.83/1.15  62 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(B,C,A),D,A) = c_Polynomial_Opoly__gcd(B,c_Polynomial_Opoly__gcd(C,D,A),A) # label(cls_poly__gcd__assoc_0) # label(axiom).  [assumption].
% 0.83/1.15  63 -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].
% 0.83/1.15  64 -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].
% 0.83/1.15  65 -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].
% 0.83/1.15  66 -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].
% 0.83/1.15  67 -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].
% 0.83/1.15  68 -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].
% 0.83/1.15  69 -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].
% 0.83/1.15  70 -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].
% 0.83/1.15  71 -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].
% 0.83/1.15  72 -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].
% 0.83/1.15  73 -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].
% 0.83/1.15  74 -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,D,A),c_HOL_Oinverse__class_Odivide(C,D,A),A) # label(cls_add__divide__distrib_0) # label(axiom).  [assumption].
% 0.83/1.15  75 -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].
% 0.83/1.15  76 -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].
% 0.83/1.15  77 -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(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_add__frac__eq_0) # label(axiom).  [assumption].
% 0.83/1.15  78 -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].
% 0.83/1.15  79 -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].
% 0.83/1.15  80 -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].
% 0.83/1.15  81 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(B,C,A) = c_Polynomial_Opoly__gcd(C,B,A) # label(cls_poly__gcd__commute_0) # label(axiom).  [assumption].
% 0.83/1.15  82 -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].
% 0.83/1.15  83 -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].
% 0.83/1.15  84 -class_Ring__and__Field_Ofield(A) | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__power__divide_0) # label(axiom).  [assumption].
% 0.83/1.15  85 -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].
% 0.83/1.15  86 -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].
% 0.83/1.15  87 -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].
% 0.83/1.15  88 -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].
% 0.83/1.15  89 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(C,D,A),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) # label(cls_poly__gcd__greatest_0) # label(axiom).  [assumption].
% 0.83/1.15  90 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(C,D,A),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) # label(cls_dvd__poly__gcd__iff_2) # label(axiom).  [assumption].
% 0.83/1.15  91 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(B,C,A),B,tc_Polynomial_Opoly(A)) # label(cls_poly__gcd__dvd1_0) # label(axiom).  [assumption].
% 0.83/1.15  92 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(B,C,A),C,tc_Polynomial_Opoly(A)) # label(cls_poly__gcd__dvd2_0) # label(axiom).  [assumption].
% 0.83/1.15  93 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(D,C,A),tc_Polynomial_Opoly(A)) # label(cls_dvd__poly__gcd__iff_1) # label(axiom).  [assumption].
% 0.83/1.15  94 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(C,D,A),tc_Polynomial_Opoly(A)) # label(cls_dvd__poly__gcd__iff_0) # label(axiom).  [assumption].
% 0.83/1.15  Derived: A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | B = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,A,tc_Rational_Orat),A,tc_Rational_Orat).  [resolve(30,a,31,a)].
% 0.83/1.15  Derived: A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,A,tc_Rational_Orat),A,tc_Rational_Orat) = B.  [resolve(30,a,32,a)].
% 0.83/1.15  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(A,C,tc_Rational_Orat),c_HOL_Oinverse__class_Odivide(B,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,35,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(A,C,tc_Rational_Orat),c_Power_Opower__class_Opower(B,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,36,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),c_HOL_Oinverse__class_Odivide(C,D,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,C,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(B,D,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,37,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(B,A,tc_Rational_Orat).  [resolve(30,a,38,a)].
% 0.83/1.15  Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat) != c_HOL_Oone__class_Oone(tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = B.  [resolve(30,a,39,a)].
% 0.83/1.15  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(A,B,tc_Rational_Orat),C,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,40,a)].
% 0.83/1.15  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | C = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(C,A,tc_Rational_Orat),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(30,a,41,a)].
% 0.83/1.15  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Osmult(B,C,tc_Rational_Orat),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,42,a)].
% 0.83/1.15  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Osmult(C,B,tc_Rational_Orat),tc_Polynomial_Opoly(tc_Rational_Orat)) | C = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,43,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,46,a)].
% 0.83/1.15  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),B,tc_Rational_Orat).  [resolve(30,a,47,a)].
% 0.83/1.15  Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Rational_Orat),A,tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,48,a)].
% 0.83/1.15  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),c_HOL_Oinverse__class_Odivide(C,D,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,D,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(C,B,tc_Rational_Orat),tc_Rational_Orat),c_HOL_Otimes__class_Otimes(B,D,tc_Rational_Orat),tc_Rational_Orat) | D = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,49,a)].
% 0.83/1.15  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),A,tc_Rational_Orat) = c_HOL_Oone__class_Oone(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,50,a)].
% 0.83/1.15  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,51,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(C,B,tc_Rational_Orat),tc_Rational_Orat),B,tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,52,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oplus__class_Oplus(A,c_HOL_Oinverse__class_Odivide(B,C,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(A,C,tc_Rational_Orat),tc_Rational_Orat),C,tc_Rational_Orat) | C = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,53,a)].
% 0.83/1.15  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,54,a)].
% 0.83/1.15  Derived: c_HOL_Oinverse__class_Odivide(A,c_HOL_Oone__class_Oone(tc_Rational_Orat),tc_Rational_Orat) = A.  [resolve(30,a,55,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,56,a)].
% 0.83/1.15  Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Rational_Orat),A,tc_Rational_Orat).  [resolve(30,a,57,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Rational_Orat),c_Power_Opower__class_Opower(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Rational_Orat),A,tc_Rational_Orat),B,tc_Rational_Orat).  [resolve(30,a,59,a)].
% 0.83/1.15  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,60,a)].
% 0.83/1.15  Derived: c_Polynomial_Opoly__gcd(A,c_Polynomial_Opoly__gcd(B,C,tc_Rational_Orat),tc_Rational_Orat) = c_Polynomial_Opoly__gcd(B,c_Polynomial_Opoly__gcd(A,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,61,a)].
% 0.83/1.15  Derived: c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_Polynomial_Opoly__gcd(A,c_Polynomial_Opoly__gcd(B,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,62,a)].
% 0.83/1.15  Derived: A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(A,A,tc_Rational_Orat) = c_HOL_Oone__class_Oone(tc_Rational_Orat).  [resolve(30,a,63,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat).  [resolve(30,a,66,a)].
% 0.83/1.15  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),A,tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,67,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,68,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat) != c_HOL_Oone__class_Oone(tc_Rational_Orat) | A = c_HOL_Oone__class_Oone(tc_Rational_Orat).  [resolve(30,a,70,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(C,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(A,C,tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,71,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(A,C,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(B,C,tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,72,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,C,tc_Rational_Orat),B,tc_Rational_Orat).  [resolve(30,a,73,a)].
% 0.83/1.15  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,C,tc_Rational_Orat),c_HOL_Oinverse__class_Odivide(B,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,74,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,75,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Ozero__class_Ozero(tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),A,tc_Rational_Orat),A,tc_Rational_Orat).  [resolve(30,a,76,a)].
% 0.83/1.15  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),c_HOL_Oinverse__class_Odivide(C,D,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(C,B,tc_Rational_Orat),tc_Rational_Orat),c_HOL_Otimes__class_Otimes(B,D,tc_Rational_Orat),tc_Rational_Orat) | D = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,77,a)].
% 0.83/1.15  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | A = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),B,tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,78,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),B,tc_Rational_Orat) = A | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,79,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oone__class_Oone(tc_Rational_Orat).  [resolve(30,a,80,a)].
% 0.83/1.16  Derived: c_Polynomial_Opoly__gcd(A,B,tc_Rational_Orat) = c_Polynomial_Opoly__gcd(B,A,tc_Rational_Orat).  [resolve(30,a,81,a)].
% 0.83/1.16  Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,82,a)].
% 0.83/1.16  Derived: c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(A,C,tc_Rational_Orat),c_Power_Opower__class_Opower(B,C,tc_Rational_Orat),tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,84,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Ozero__class_Ozero(tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat).  [resolve(30,a,85,a)].
% 0.83/1.16  Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat) != c_HOL_Oinverse__class_Odivide(C,D,tc_Rational_Orat) | D = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | c_HOL_Otimes__class_Otimes(A,D,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(C,B,tc_Rational_Orat).  [resolve(30,a,86,a)].
% 0.83/1.16  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat) != c_HOL_Otimes__class_Otimes(C,D,tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | D = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(A,D,tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(C,B,tc_Rational_Orat).  [resolve(30,a,87,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),A,tc_Rational_Orat),A,tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(30,a,88,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(B,C,tc_Rational_Orat),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(30,a,89,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(A,B,tc_Rational_Orat),A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(30,a,91,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(A,B,tc_Rational_Orat),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(30,a,92,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(C,B,tc_Rational_Orat),tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(30,a,93,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(B,C,tc_Rational_Orat),tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(30,a,94,a)].
% 0.83/1.16  95 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) # label(axiom).  [assumption].
% 0.83/1.16  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(95,a,31,a)].
% 0.83/1.16  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(95,a,32,a)].
% 0.83/1.16  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(95,a,35,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(A,C,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(95,a,36,a)].
% 0.83/1.16  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(95,a,37,a)].
% 0.83/1.16  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(95,a,38,a)].
% 0.83/1.16  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(95,a,39,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(A,B,tc_Complex_Ocomplex),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(95,a,40,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | C = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(C,A,tc_Complex_Ocomplex),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(95,a,41,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Osmult(B,C,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(95,a,42,a)].
% 0.83/1.16  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Osmult(C,B,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | C = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(95,a,43,a)].
% 0.83/1.16  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(95,a,46,a)].
% 0.83/1.16  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(95,a,47,a)].
% 0.83/1.16  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) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(95,a,48,a)].
% 0.83/1.16  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(95,a,49,a)].
% 0.83/1.16  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(95,a,50,a)].
% 0.83/1.16  Derived: c_HOL_Oplus__class_Oplus(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_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(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(95,a,51,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(95,a,52,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(A,c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) | C = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(95,a,53,a)].
% 0.83/1.16  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(95,a,54,a)].
% 0.83/1.16  Derived: c_HOL_Oinverse__class_Odivide(A,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(95,a,55,a)].
% 0.83/1.16  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(95,a,56,a)].
% 0.83/1.16  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(95,a,57,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(95,a,59,a)].
% 0.83/1.16  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(95,a,60,a)].
% 0.83/1.16  Derived: c_Polynomial_Opoly__gcd(A,c_Polynomial_Opoly__gcd(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly__gcd(B,c_Polynomial_Opoly__gcd(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(95,a,61,a)].
% 0.83/1.16  Derived: c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_Polynomial_Opoly__gcd(A,c_Polynomial_Opoly__gcd(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(95,a,62,a)].
% 0.83/1.16  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(95,a,63,a)].
% 0.83/1.16  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(95,a,66,a)].
% 0.83/1.16  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(95,a,67,a)].
% 0.83/1.16  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(95,a,68,a)].
% 0.83/1.16  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(95,a,70,a)].
% 0.83/1.16  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(95,a,71,a)].
% 0.83/1.16  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(95,a,72,a)].
% 0.83/1.16  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(95,a,73,a)].
% 0.83/1.16  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,C,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(95,a,74,a)].
% 0.83/1.16  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(95,a,75,a)].
% 0.83/1.16  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(95,a,76,a)].
% 0.83/1.16  Derived: c_HOL_Oplus__class_Oplus(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_Oplus__class_Oplus(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(95,a,77,a)].
% 0.83/1.16  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(95,a,78,a)].
% 0.83/1.16  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(95,a,79,a)].
% 0.83/1.16  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | 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(95,a,80,a)].
% 0.83/1.16  Derived: c_Polynomial_Opoly__gcd(A,B,tc_Complex_Ocomplex) = c_Polynomial_Opoly__gcd(B,A,tc_Complex_Ocomplex).  [resolve(95,a,81,a)].
% 0.92/1.18  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(95,a,82,a)].
% 0.92/1.18  Derived: c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(A,C,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(95,a,84,a)].
% 0.92/1.18  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(95,a,85,a)].
% 0.92/1.18  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(95,a,86,a)].
% 0.92/1.18  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(95,a,87,a)].
% 0.92/1.18  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(95,a,88,a)].
% 0.92/1.18  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(B,C,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(95,a,89,a)].
% 0.92/1.18  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(A,B,tc_Complex_Ocomplex),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(95,a,91,a)].
% 0.92/1.18  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(A,B,tc_Complex_Ocomplex),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(95,a,92,a)].
% 0.92/1.18  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(C,B,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(95,a,93,a)].
% 0.92/1.18  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(B,C,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(95,a,94,a)].
% 0.92/1.18  96 class_Divides_Osemiring__div(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ofield(A) # label(clsarity_Polynomial__Opoly__Divides_Osemiring__div) # label(axiom).  [assumption].
% 0.92/1.18  Derived: class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(96,b,30,a)].
% 0.92/1.18  Derived: class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(96,b,95,a)].
% 0.92/1.18  97 class_Divides_Oring__div(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ofield(A) # label(clsarity_Polynomial__Opoly__Divides_Oring__div) # label(axiom).  [assumption].
% 0.92/1.18  Derived: class_Divides_Oring__div(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(97,b,30,a)].
% 0.92/1.18  Derived: class_Divides_Oring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(97,b,95,a)].
% 0.92/1.18  98 class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(96,b,30,a)].
% 0.92/1.18  99 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),C,A) = B | C = c_HOL_Ozero__class_Ozero(A) # label(cls_div__mult__self2__is__id_0) # label(axiom).  [assumption].
% 0.92/1.18  100 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),B,A) = C | B = c_HOL_Ozero__class_Ozero(A) # label(cls_div__mult__self1__is__id_0) # label(axiom).  [assumption].
% 0.92/1.18  101 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_div__by__0_0) # label(axiom).  [assumption].
% 0.92/1.18  102 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_div__0_0) # label(axiom).  [assumption].
% 0.92/1.18  103 -class_Divides_Osemiring__div(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),c_Divides_Odiv__class_Odiv(D,E,A),A) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(E,D,A) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_div__mult__div__if__dvd_0) # label(axiom).  [assumption].
% 0.92/1.18  104 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(A) # label(cls_div__mult__mult1__if_0) # label(axiom).  [assumption].
% 0.92/1.18  105 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),B,A) = c_Divides_Odiv__class_Omod(C,B,A) # label(cls_mod__add__self1_0) # label(axiom).  [assumption].
% 0.92/1.18  106 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),C,A) = c_Divides_Odiv__class_Omod(B,C,A) # label(cls_mod__add__self2_0) # label(axiom).  [assumption].
% 0.92/1.18  107 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A) # label(cls_zmod__simps_I2_J_0) # label(axiom).  [assumption].
% 0.92/1.18  108 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A) # label(cls_zmod__simps_I1_J_0) # label(axiom).  [assumption].
% 0.92/1.18  109 -class_Divides_Osemiring__div(A) | B = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A) # label(cls_mod__div__decomp_0) # label(axiom).  [assumption].
% 0.92/1.18  110 -class_Divides_Osemiring__div(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A) = B # label(cls_mod__div__equality_0) # label(axiom).  [assumption].
% 0.92/1.18  111 -class_Divides_Osemiring__div(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,A),A),c_Divides_Odiv__class_Omod(C,B,A),A) = C # label(cls_mod__div__equality2_0) # label(axiom).  [assumption].
% 0.92/1.18  112 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,A),B,A) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(C,B,A),c_HOL_Oone__class_Oone(A),A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_div__add__self1_0) # label(axiom).  [assumption].
% 0.92/1.18  113 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,A),C,A) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,C,A),c_HOL_Oone__class_Oone(A),A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_div__add__self2_0) # label(axiom).  [assumption].
% 0.92/1.18  114 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) = c_Divides_Odiv__class_Odiv(C,D,A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_div__mult__mult1_0) # label(axiom).  [assumption].
% 0.92/1.18  115 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A) = c_Divides_Odiv__class_Odiv(B,D,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_div__mult__mult2_0) # label(axiom).  [assumption].
% 0.92/1.18  116 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,D,A),c_Divides_Odiv__class_Odiv(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(D,B,A) # label(cls_div__add_0) # label(axiom).  [assumption].
% 0.92/1.18  117 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,D,A),C,A) # label(cls_zmod__simps_I4_J_0) # label(axiom).  [assumption].
% 0.92/1.18  118 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mod__0_0) # label(axiom).  [assumption].
% 0.92/1.18  119 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,A),c_Divides_Odiv__class_Omod(C,D,A),A),D,A) # label(cls_mod__add__eq_0) # label(axiom).  [assumption].
% 0.92/1.18  120 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A) # label(cls_mod__add__right__eq_0) # label(axiom).  [assumption].
% 0.92/1.18  121 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A) # label(cls_mod__add__left__eq_0) # label(axiom).  [assumption].
% 0.92/1.18  122 -class_Divides_Osemiring__div(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),D,A) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,A),C,A) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_dvd__div__mult_0) # label(axiom).  [assumption].
% 0.92/1.18  123 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A) # label(cls_mod__mult__right__eq_0) # label(axiom).  [assumption].
% 0.92/1.18  124 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A) # label(cls_mod__mult__left__eq_0) # label(axiom).  [assumption].
% 0.92/1.18  125 -class_Divides_Osemiring__div(A) | c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,A),A) = C | -c_Ring__and__Field_Odvd__class_Odvd(B,C,A) # label(cls_dvd__mult__div__cancel_0) # label(axiom).  [assumption].
% 0.92/1.18  126 -class_Divides_Osemiring__div(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A) = B | -c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_dvd__div__mult__self_0) # label(axiom).  [assumption].
% 0.92/1.18  127 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A),C,A) = c_Divides_Odiv__class_Omod(B,C,A) # label(cls_mod__mult__self2_0) # label(axiom).  [assumption].
% 0.92/1.18  128 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A),D,A) = c_Divides_Odiv__class_Omod(B,D,A) # label(cls_mod__mult__self1_0) # label(axiom).  [assumption].
% 0.92/1.18  129 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(B,c_HOL_Oone__class_Oone(A),A) = B # label(cls_div__by__1_0) # label(axiom).  [assumption].
% 0.92/1.18  130 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(B,C,A) = c_HOL_Ozero__class_Ozero(A) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_dvd__imp__mod__0_0) # label(axiom).  [assumption].
% 0.92/1.18  131 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(B,C,A) != c_HOL_Ozero__class_Ozero(A) | c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_dvd__eq__mod__eq__0_1) # label(axiom).  [assumption].
% 0.92/1.18  132 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,A),C,A) = c_Divides_Odiv__class_Omod(B,C,A) # label(cls_mod__mod__trivial_0) # label(axiom).  [assumption].
% 0.92/1.18  133 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(B,B,A) = c_HOL_Oone__class_Oone(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_div__self_0) # label(axiom).  [assumption].
% 0.92/1.18  134 -class_Divides_Osemiring__div(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A),D,A) = c_HOL_Oplus__class_Oplus(B,D,A) # label(cls_div__mod__equality_0) # label(axiom).  [assumption].
% 0.92/1.18  135 -class_Divides_Osemiring__div(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,A),A),c_Divides_Odiv__class_Omod(C,B,A),A),D,A) = c_HOL_Oplus__class_Oplus(C,D,A) # label(cls_div__mod__equality2_0) # label(axiom).  [assumption].
% 0.92/1.18  136 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(A),A) = B # label(cls_mod__by__0_0) # label(axiom).  [assumption].
% 0.92/1.18  137 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mod__self_0) # label(axiom).  [assumption].
% 0.92/1.18  138 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(B,C,A),C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mod__div__trivial_0) # label(axiom).  [assumption].
% 0.92/1.18  139 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),c_Divides_Odiv__class_Omod(C,D,A),A),D,A) # label(cls_mod__mult__eq_0) # label(axiom).  [assumption].
% 0.92/1.18  140 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A),D,A) = c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(B,D,A),A) | D = c_HOL_Ozero__class_Ozero(A) # label(cls_div__mult__self1_0) # label(axiom).  [assumption].
% 0.92/1.18  141 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A),C,A) = c_HOL_Oplus__class_Oplus(D,c_Divides_Odiv__class_Odiv(B,C,A),A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_div__mult__self2_0) # label(axiom).  [assumption].
% 0.92/1.18  142 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(B,C,A) != c_Divides_Odiv__class_Omod(D,C,A) | c_Divides_Odiv__class_Omod(E,C,A) != c_Divides_Odiv__class_Omod(F,C,A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,B,A),C,A) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(F,D,A),C,A) # label(cls_mod__add__cong_0) # label(axiom).  [assumption].
% 0.92/1.18  143 -class_Divides_Osemiring__div(A) | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(B,C,A),D,A) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_div__power_0) # label(axiom).  [assumption].
% 0.92/1.18  144 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(B,C,A) != c_Divides_Odiv__class_Omod(D,C,A) | c_Divides_Odiv__class_Omod(E,C,A) != c_Divides_Odiv__class_Omod(F,C,A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,B,A),C,A) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(F,D,A),C,A) # label(cls_mod__mult__cong_0) # label(axiom).  [assumption].
% 0.92/1.18  145 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(B,c_HOL_Oone__class_Oone(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mod__by__1_0) # label(axiom).  [assumption].
% 0.92/1.18  146 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mod__mult__self1__is__0_0) # label(axiom).  [assumption].
% 0.92/1.18  147 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mod__mult__self2__is__0_0) # label(axiom).  [assumption].
% 0.92/1.18  148 -class_Divides_Osemiring__div(A) | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),A) = B # label(cls_semiring__div__class_Omod__div__equality_H_0) # label(axiom).  [assumption].
% 0.92/1.18  149 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) = c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Omod(C,D,A),A) # label(cls_mod__mult__mult1_0) # label(axiom).  [assumption].
% 0.94/1.18  150 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),C,A) # label(cls_mod__mult__mult2_0) # label(axiom).  [assumption].
% 0.94/1.18  151 -class_Divides_Osemiring__div(A) | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,A),D,A) = c_Divides_Odiv__class_Omod(B,D,A) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,A) # label(cls_mod__mod__cancel_0) # label(axiom).  [assumption].
% 0.94/1.18  152 -class_Divides_Osemiring__div(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(B,C,A),c_Divides_Odiv__class_Odiv(D,C,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) | -c_Ring__and__Field_Odvd__class_Odvd(C,D,A) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_div__dvd__div_1) # label(axiom).  [assumption].
% 0.94/1.19  153 -class_Divides_Osemiring__div(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(B,D,A),c_Divides_Odiv__class_Odiv(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(D,B,A) # label(cls_div__dvd__div_0) # label(axiom).  [assumption].
% 0.94/1.19  154 -class_Divides_Osemiring__div(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A) # label(cls_dvd__mod__imp__dvd_0) # label(axiom).  [assumption].
% 0.94/1.19  155 -class_Divides_Osemiring__div(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) # label(cls_dvd__mod__iff_1) # label(axiom).  [assumption].
% 0.94/1.19  156 -class_Divides_Osemiring__div(A) | c_Ring__and__Field_Odvd__class_Odvd(B,C,A) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,A) # label(cls_dvd__mod__iff_0) # label(axiom).  [assumption].
% 0.94/1.19  157 -class_Divides_Osemiring__div(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(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__mod_0) # label(axiom).  [assumption].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = A | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,99,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),A,tc_Polynomial_Opoly(tc_Rational_Orat)) = B | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,100,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,101,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)),A,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,102,a)].
% 0.94/1.19  Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,103,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)),A,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,104,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),A,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,105,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,106,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,107,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,108,a)].
% 0.94/1.19  Derived: A = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,109,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = A.  [resolve(98,a,110,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = B.  [resolve(98,a,111,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),A,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,112,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,113,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,114,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,115,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,116,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,117,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)),A,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,118,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,119,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,120,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,121,a)].
% 0.94/1.19  Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,122,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,123,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,124,a)].
% 0.94/1.19  Derived: c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = B | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,125,a)].
% 0.94/1.19  Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = A | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,126,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,127,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,128,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = A.  [resolve(98,a,129,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,130,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)) | c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,131,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,132,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(A,A,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Rational_Orat)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,133,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Oplus__class_Oplus(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,134,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,135,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = A.  [resolve(98,a,136,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,A,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,137,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,138,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,139,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,140,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,141,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Rational_Orat)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(D,A,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,142,a)].
% 0.94/1.19  Derived: c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,143,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Rational_Orat)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(D,A,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,144,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,145,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),A,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,146,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,147,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = A.  [resolve(98,a,148,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,149,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,150,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,151,a)].
% 0.94/1.19  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,152,a)].
% 0.94/1.19  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,153,a)].
% 0.94/1.19  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,154,a)].
% 0.94/1.19  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(98,a,155,a)].
% 0.94/1.19  158 class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(96,b,95,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,99,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = B | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,100,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,101,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,102,a)].
% 0.94/1.19  Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,103,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,104,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,105,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,106,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,107,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,108,a)].
% 0.94/1.19  Derived: A = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,109,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A.  [resolve(158,a,110,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = B.  [resolve(158,a,111,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,112,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,113,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,114,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,115,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,116,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,117,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,118,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,119,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,120,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,121,a)].
% 0.94/1.19  Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,122,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,123,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,124,a)].
% 0.94/1.19  Derived: c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = B | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,125,a)].
% 0.94/1.19  Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,126,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,127,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,128,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A.  [resolve(158,a,129,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,130,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,131,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,132,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(A,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,133,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,134,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,135,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A.  [resolve(158,a,136,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,137,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,138,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,139,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,140,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,141,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(D,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,142,a)].
% 0.94/1.19  Derived: c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,143,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(D,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,144,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,145,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,146,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,147,a)].
% 0.94/1.19  Derived: c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A.  [resolve(158,a,148,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,149,a)].
% 0.94/1.19  Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,150,a)].
% 0.94/1.20  Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,151,a)].
% 0.94/1.20  Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,152,a)].
% 0.94/1.20  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,153,a)].
% 0.94/1.20  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,154,a)].
% 0.94/1.20  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(158,a,155,a)].
% 0.94/1.20  159 class_Ring__and__Field_Ozero__neq__one(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Ozero__neq__one) # label(axiom).  [assumption].
% 0.94/1.20  160 -class_Ring__and__Field_Ozero__neq__one(A) | c_HOL_Oone__class_Oone(A) != c_HOL_Ozero__class_Ozero(A) # label(cls_one__neq__zero_0) # label(axiom).  [assumption].
% 0.94/1.20  161 -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_Power_Opower__class_Opower(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_power__eq__0__iff_0) # label(axiom).  [assumption].
% 0.94/1.20  162 -class_Ring__and__Field_Ozero__neq__one(A) | c_HOL_Ozero__class_Ozero(A) != c_HOL_Oone__class_Oone(A) # label(cls_zero__neq__one_0) # label(axiom).  [assumption].
% 0.94/1.20  Derived: c_HOL_Oone__class_Oone(tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(159,a,160,a)].
% 0.94/1.20  Derived: -class_Ring__and__Field_Ono__zero__divisors(tc_Rational_Orat) | -class_Ring__and__Field_Omult__zero(tc_Rational_Orat) | -class_Power_Opower(tc_Rational_Orat) | c_Power_Opower__class_Opower(A,B,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(159,a,161,a)].
% 0.94/1.20  Derived: c_HOL_Ozero__class_Ozero(tc_Rational_Orat) != c_HOL_Oone__class_Oone(tc_Rational_Orat).  [resolve(159,a,162,a)].
% 0.94/1.20  163 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) # label(axiom).  [assumption].
% 0.94/1.20  Derived: c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(163,a,160,a)].
% 0.94/1.20  Derived: -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | -class_Power_Opower(tc_Complex_Ocomplex) | c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(163,a,161,a)].
% 0.94/1.22  Derived: c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(163,a,162,a)].
% 0.94/1.22  164 class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one) # label(axiom).  [assumption].
% 0.94/1.22  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(164,a,160,a)].
% 0.94/1.22  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(A)) | -class_Power_Opower(tc_Polynomial_Opoly(A)) | c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(164,a,161,a)].
% 0.94/1.22  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) != c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)).  [resolve(164,a,162,a)].
% 0.94/1.22  165 class_Ring__and__Field_Oring__no__zero__divisors(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Oring__no__zero__divisors) # label(axiom).  [assumption].
% 0.94/1.22  166 -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].
% 0.94/1.22  167 -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].
% 0.94/1.22  168 -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].
% 0.94/1.22  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(165,a,166,a)].
% 0.94/1.22  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),A,tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(165,a,167,a)].
% 0.94/1.22  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(165,a,168,a)].
% 0.94/1.22  169 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].
% 0.94/1.22  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(169,a,166,a)].
% 0.94/1.22  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(169,a,167,a)].
% 0.94/1.22  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(169,a,168,a)].
% 0.94/1.22  170 class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oidom(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors) # label(axiom).  [assumption].
% 0.94/1.22  Derived: -class_Ring__and__Field_Oidom(A) | c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(170,a,166,a)].
% 0.94/1.22  Derived: -class_Ring__and__Field_Oidom(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(170,a,167,a)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(170,a,168,a)].
% 0.98/1.25  171 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) # label(axiom).  [assumption].
% 0.98/1.25  172 -class_RealVector_Oreal__normed__field(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_divide_Odiff_0) # label(axiom).  [assumption].
% 0.98/1.25  173 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A),D,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_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,C,A),D,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__inverse__lemma_0) # label(axiom).  [assumption].
% 0.98/1.25  174 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A) # label(cls_divide_Ominus_0) # label(axiom).  [assumption].
% 0.98/1.25  175 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide_Ozero_0) # label(axiom).  [assumption].
% 0.98/1.25  176 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,D,A),c_HOL_Oinverse__class_Odivide(C,D,A),A) # label(cls_divide_Oadd_0) # label(axiom).  [assumption].
% 0.98/1.25  Derived: c_HOL_Oinverse__class_Odivide(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,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_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),C,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(171,a,173,a)].
% 0.98/1.25  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(171,a,174,a)].
% 0.98/1.25  177 class_Int_Onumber__ring(tc_Rational_Orat) # label(clsarity_Rational__Orat__Int_Onumber__ring) # label(axiom).  [assumption].
% 0.98/1.25  178 -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].
% 0.98/1.25  179 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | B != c_HOL_Oplus__class_Oplus(B,C,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_class__ringb_Oadd__r0__iff_0) # label(axiom).  [assumption].
% 0.98/1.25  180 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A) != c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,E,A),A) | D = E | C = c_HOL_Ozero__class_Ozero(A) # label(cls_class__ringb_Oadd__scale__eq__noteq_0) # label(axiom).  [assumption].
% 0.98/1.25  181 -class_Int_Onumber__ring(A) | c_HOL_Ouminus__class_Ouminus(B,A) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),B,A) # label(cls_class__ring_Oneg__mul_0) # label(axiom).  [assumption].
% 0.98/1.25  182 -class_Int_Onumber__ring(A) | c_HOL_Ominus__class_Ominus(B,C,A) = c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_class__ring_Osub__add_0) # label(axiom).  [assumption].
% 0.98/1.25  183 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_class__ringb_Oadd__mul__solve_1) # label(axiom).  [assumption].
% 0.98/1.25  184 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_class__ringb_Onoteq__reduce_1) # label(axiom).  [assumption].
% 0.98/1.25  185 -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].
% 0.98/1.25  186 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | B = c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A) # label(cls_class__ringb_Oadd__r0__iff_1) # label(axiom).  [assumption].
% 0.98/1.25  187 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Oplus__class_Oplus(B,D,A) | C = D # label(cls_class__ringb_Oadd__cancel_0) # label(axiom).  [assumption].
% 0.98/1.25  188 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A) | C = E | B = D # label(cls_class__ringb_Onoteq__reduce_0) # label(axiom).  [assumption].
% 0.98/1.25  189 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A) | C = E | B = D # label(cls_class__ringb_Oadd__mul__solve_0) # label(axiom).  [assumption].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Rational_Orat) | A != c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(177,a,179,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Rational_Orat) | c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Rational_Orat),tc_Rational_Orat) != c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,D,tc_Rational_Orat),tc_Rational_Orat) | C = D | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(177,a,180,b)].
% 0.98/1.25  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Rational_Orat),tc_Rational_Orat),A,tc_Rational_Orat).  [resolve(177,a,181,a)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Rational_Orat) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(A,C,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(177,a,183,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Rational_Orat) | A = c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat).  [resolve(177,a,186,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Rational_Orat) | c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat) != c_HOL_Oplus__class_Oplus(A,C,tc_Rational_Orat) | B = C.  [resolve(177,a,187,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Rational_Orat) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(C,D,tc_Rational_Orat),tc_Rational_Orat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(C,B,tc_Rational_Orat),tc_Rational_Orat) | B = D | A = C.  [resolve(177,a,188,b)].
% 0.98/1.25  190 class_Int_Onumber__ring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Int_Onumber__ring) # label(axiom).  [assumption].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | A != c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(190,a,179,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | C = D | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(190,a,180,b)].
% 0.98/1.25  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),A,tc_Complex_Ocomplex).  [resolve(190,a,181,a)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(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_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(190,a,183,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | A = c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(190,a,186,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(A,C,tc_Complex_Ocomplex) | B = C.  [resolve(190,a,187,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(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_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = D | A = C.  [resolve(190,a,188,b)].
% 0.98/1.25  191 class_Int_Onumber__ring(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__ring__1(A) # label(clsarity_Polynomial__Opoly__Int_Onumber__ring) # label(axiom).  [assumption].
% 0.98/1.25  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A)) | c_HOL_Ominus__class_Ominus(B,B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(191,a,178,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A)) | B != c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(191,a,179,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A)) | c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) != c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | D = E | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(191,a,180,b)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)).  [resolve(191,a,181,a)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(191,a,182,a)].
% 0.98/1.25  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A)) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(191,a,183,b)].
% 0.98/1.27  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A)) | c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = C.  [resolve(191,a,185,b)].
% 0.98/1.27  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A)) | B = c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(191,a,186,b)].
% 0.98/1.27  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A)) | c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Oplus__class_Oplus(B,D,tc_Polynomial_Opoly(A)) | C = D.  [resolve(191,a,187,b)].
% 0.98/1.27  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A)) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(D,E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(D,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | C = E | B = D.  [resolve(191,a,188,b)].
% 0.98/1.27  192 class_Ring__and__Field_Oring(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Oring) # label(axiom).  [assumption].
% 0.98/1.27  193 -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].
% 0.98/1.27  194 -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].
% 0.98/1.27  195 -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].
% 0.98/1.27  196 -class_Ring__and__Field_Oring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A) # label(cls_eq__add__iff2_1) # label(axiom).  [assumption].
% 0.98/1.27  197 -class_Ring__and__Field_Oring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),A) # label(cls_eq__add__iff1_1) # label(axiom).  [assumption].
% 0.98/1.27  198 -class_Ring__and__Field_Oring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A) = F # label(cls_eq__add__iff1_0) # label(axiom).  [assumption].
% 0.98/1.27  199 -class_Ring__and__Field_Oring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A) | D = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A) # label(cls_eq__add__iff2_0) # label(axiom).  [assumption].
% 0.98/1.27  200 -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].
% 0.98/1.27  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),B,tc_Rational_Orat).  [resolve(192,a,193,a)].
% 0.98/1.27  Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(192,a,194,a)].
% 0.98/1.27  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat).  [resolve(192,a,195,a)].
% 0.98/1.27  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(C,A,tc_Rational_Orat),B,tc_Rational_Orat),D,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_Rational_Orat),D,tc_Rational_Orat).  [resolve(192,a,196,a)].
% 0.98/1.27  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Rational_Orat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,D,tc_Rational_Orat),B,tc_Rational_Orat),C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(192,a,197,a)].
% 0.98/1.27  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),C,tc_Rational_Orat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Rational_Orat),E,tc_Rational_Orat) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,D,tc_Rational_Orat),B,tc_Rational_Orat),C,tc_Rational_Orat) = E.  [resolve(192,a,198,a)].
% 0.98/1.27  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),C,tc_Rational_Orat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Rational_Orat),E,tc_Rational_Orat) | C = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,A,tc_Rational_Orat),B,tc_Rational_Orat),E,tc_Rational_Orat).  [resolve(192,a,199,a)].
% 0.98/1.27  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),B,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(192,a,200,a)].
% 0.98/1.27  201 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring) # label(axiom).  [assumption].
% 0.98/1.27  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(201,a,193,a)].
% 0.98/1.27  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(201,a,194,a)].
% 0.98/1.27  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(201,a,195,a)].
% 0.98/1.27  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(C,A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex).  [resolve(201,a,196,a)].
% 0.98/1.27  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,D,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(201,a,197,a)].
% 0.98/1.27  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,D,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = E.  [resolve(201,a,198,a)].
% 0.98/1.27  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex) | C = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex).  [resolve(201,a,199,a)].
% 0.98/1.29  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(201,a,200,a)].
% 0.98/1.29  202 class_Ring__and__Field_Oring(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__ring(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oring) # label(axiom).  [assumption].
% 0.98/1.29  Derived: -class_Ring__and__Field_Ocomm__ring(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)).  [resolve(202,a,193,a)].
% 0.98/1.29  Derived: -class_Ring__and__Field_Ocomm__ring(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(202,a,194,a)].
% 0.98/1.29  Derived: -class_Ring__and__Field_Ocomm__ring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)).  [resolve(202,a,195,a)].
% 0.98/1.29  Derived: -class_Ring__and__Field_Ocomm__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,tc_Polynomial_Opoly(A)),E,tc_Polynomial_Opoly(A)).  [resolve(202,a,196,a)].
% 0.98/1.29  Derived: -class_Ring__and__Field_Ocomm__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,tc_Polynomial_Opoly(A)),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(202,a,197,a)].
% 0.98/1.29  Derived: -class_Ring__and__Field_Ocomm__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,tc_Polynomial_Opoly(A)),F,tc_Polynomial_Opoly(A)) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = F.  [resolve(202,a,198,a)].
% 0.98/1.29  Derived: -class_Ring__and__Field_Ocomm__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,tc_Polynomial_Opoly(A)),F,tc_Polynomial_Opoly(A)) | D = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),F,tc_Polynomial_Opoly(A)).  [resolve(202,a,199,a)].
% 0.98/1.29  Derived: -class_Ring__and__Field_Ocomm__ring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(202,a,200,a)].
% 0.98/1.29  203 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Oring__1__no__zero__divisors) # label(axiom).  [assumption].
% 0.98/1.29  204 -class_Ring__and__Field_Oring__1__no__zero__divisors(A) | c_Power_Opower__class_Opower(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_field__power__not__zero_0) # label(axiom).  [assumption].
% 0.98/1.30  Derived: c_Power_Opower__class_Opower(A,B,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(203,a,204,a)].
% 0.98/1.30  205 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].
% 0.98/1.30  Derived: c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(205,a,204,a)].
% 0.98/1.30  206 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oidom(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors) # label(axiom).  [assumption].
% 0.98/1.30  Derived: -class_Ring__and__Field_Oidom(A) | c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(206,a,204,a)].
% 0.98/1.30  207 class_Ring__and__Field_Oordered__ring__strict(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Oordered__ring__strict) # label(axiom).  [assumption].
% 0.98/1.30  208 -class_Ring__and__Field_Oordered__ring__strict(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_sum__squares__eq__zero__iff_0) # label(axiom).  [assumption].
% 0.98/1.30  209 -class_Ring__and__Field_Oordered__ring__strict(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A) != c_HOL_Ozero__class_Ozero(A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_sum__squares__eq__zero__iff_1) # label(axiom).  [assumption].
% 0.98/1.30  210 -class_Ring__and__Field_Oordered__ring__strict(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_sum__squares__eq__zero__iff_2) # label(axiom).  [assumption].
% 0.98/1.30  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(B,B,tc_Rational_Orat),tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(207,a,208,a)].
% 0.98/1.30  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(B,B,tc_Rational_Orat),tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(207,a,209,a)].
% 0.98/1.30  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(207,a,210,a)].
% 0.98/1.30  211 class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oordered__idom(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict) # label(axiom).  [assumption].
% 0.98/1.30  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(C,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(211,a,208,a)].
% 0.98/1.30  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(C,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(211,a,209,a)].
% 0.98/1.30  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(211,a,210,a)].
% 1.06/1.31  212 class_Ring__and__Field_Odivision__ring(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Odivision__ring) # label(axiom).  [assumption].
% 1.06/1.31  213 -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].
% 1.06/1.31  214 -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].
% 1.06/1.31  215 -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].
% 1.06/1.31  216 -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].
% 1.06/1.31  217 -class_Ring__and__Field_Odivision__ring(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(B,C,A),A) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),C,A) # label(cls_power__inverse_0) # label(axiom).  [assumption].
% 1.06/1.31  218 -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].
% 1.06/1.31  219 -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].
% 1.06/1.31  220 -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].
% 1.06/1.31  221 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oplus__class_Oplus(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_Oplus__class_Oplus(B,C,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__add_0) # label(axiom).  [assumption].
% 1.06/1.31  222 -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].
% 1.06/1.31  223 -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].
% 1.06/1.31  224 -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].
% 1.06/1.32  225 -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].
% 1.06/1.32  226 -class_Ring__and__Field_Odivision__ring(A) | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(B,C,A),A) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),C,A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__power__inverse_0) # label(axiom).  [assumption].
% 1.06/1.32  227 -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].
% 1.06/1.32  228 -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].
% 1.06/1.32  229 -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].
% 1.06/1.32  230 -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].
% 1.06/1.32  231 -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].
% 1.06/1.32  Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat) != c_HOL_Oone__class_Oone(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat) = B.  [resolve(212,a,213,a)].
% 1.06/1.32  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat) != c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat) | A = B.  [resolve(212,a,214,a)].
% 1.06/1.32  Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat) != c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat) | A = B | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,215,a)].
% 1.06/1.32  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,216,a)].
% 1.06/1.32  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),B,tc_Rational_Orat).  [resolve(212,a,217,a)].
% 1.06/1.32  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat).  [resolve(212,a,218,a)].
% 1.06/1.32  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oone__class_Oone(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,220,a)].
% 1.06/1.32  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat),tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,221,a)].
% 1.06/1.32  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),c_HOL_Ominus__class_Ominus(A,B,tc_Rational_Orat),tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat),tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,222,a)].
% 1.06/1.32  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat) = A.  [resolve(212,a,223,a)].
% 1.06/1.32  Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,224,a)].
% 1.06/1.32  Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat) = A | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,225,a)].
% 1.06/1.32  Derived: c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),B,tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,226,a)].
% 1.06/1.32  Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,227,a)].
% 1.06/1.32  Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oone__class_Oone(tc_Rational_Orat).  [resolve(212,a,228,a)].
% 1.06/1.32  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,229,a)].
% 1.06/1.32  Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,230,a)].
% 1.06/1.32  Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),c_HOL_Ominus__class_Ominus(B,A,tc_Rational_Orat),tc_Rational_Orat),c_HOL_Oinverse__class_Oinverse(B,tc_Rational_Orat),tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(212,a,231,a)].
% 1.06/1.32  232 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) # label(axiom).  [assumption].
% 1.06/1.32  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(232,a,213,a)].
% 1.06/1.32  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(232,a,214,a)].
% 1.06/1.32  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(232,a,215,a)].
% 1.06/1.32  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(232,a,216,a)].
% 1.06/1.32  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex).  [resolve(232,a,217,a)].
% 1.06/1.32  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(232,a,218,a)].
% 1.06/1.32  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(232,a,220,a)].
% 1.06/1.32  Derived: c_HOL_Oplus__class_Oplus(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_Oplus__class_Oplus(A,B,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(232,a,221,a)].
% 1.06/1.32  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(232,a,222,a)].
% 1.06/1.32  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(232,a,223,a)].
% 1.06/1.32  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(232,a,224,a)].
% 1.06/1.32  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(232,a,225,a)].
% 1.06/1.32  Derived: c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).  [resolve(232,a,226,a)].
% 1.06/1.32  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(232,a,227,a)].
% 1.06/1.32  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(232,a,228,a)].
% 1.06/1.32  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | 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(232,a,229,a)].
% 1.06/1.32  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(232,a,230,a)].
% 1.06/1.34  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(232,a,231,a)].
% 1.06/1.34  233 class_OrderedGroup_Ocomm__monoid__mult(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__mult) # label(axiom).  [assumption].
% 1.06/1.34  234 -class_OrderedGroup_Ocomm__monoid__mult(A) | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A) # label(cls_power__mult__distrib_0) # label(axiom).  [assumption].
% 1.06/1.34  235 -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].
% 1.06/1.34  Derived: c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,C,tc_Rational_Orat),c_Power_Opower__class_Opower(B,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(233,a,234,a)].
% 1.06/1.34  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Rational_Orat),A,tc_Rational_Orat) = A.  [resolve(233,a,235,a)].
% 1.06/1.34  236 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) # label(axiom).  [assumption].
% 1.06/1.34  Derived: c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,C,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(236,a,234,a)].
% 1.06/1.34  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = A.  [resolve(236,a,235,a)].
% 1.06/1.34  237 class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult) # label(axiom).  [assumption].
% 1.06/1.34  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,tc_Polynomial_Opoly(A)),c_Power_Opower__class_Opower(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(237,a,234,a)].
% 1.06/1.34  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = B.  [resolve(237,a,235,a)].
% 1.06/1.34  238 class_Ring__and__Field_Odvd(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Odvd) # label(axiom).  [assumption].
% 1.06/1.34  239 -class_Ring__and__Field_Odvd(A) | -class_Ring__and__Field_Ocomm__ring(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(D,E,A),A),F,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,F,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,E,A) # label(cls_inf__period_I4_J_0) # label(axiom).  [assumption].
% 1.06/1.34  240 -class_Ring__and__Field_Odvd(A) | -class_Ring__and__Field_Ocomm__ring(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(E,F,A),A),D,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(B,F,A) # label(cls_inf__period_I4_J_1) # label(axiom).  [assumption].
% 1.06/1.34  241 -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].
% 1.06/1.35  Derived: -class_Ring__and__Field_Ocomm__ring(tc_Rational_Orat) | c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Rational_Orat),tc_Rational_Orat),E,tc_Rational_Orat),tc_Rational_Orat) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,E,tc_Rational_Orat),tc_Rational_Orat) | -c_Ring__and__Field_Odvd__class_Odvd(A,D,tc_Rational_Orat).  [resolve(238,a,239,a)].
% 1.06/1.35  Derived: -class_Ring__and__Field_Ocomm__ring(tc_Rational_Orat) | c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,C,tc_Rational_Orat),tc_Rational_Orat) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,c_HOL_Otimes__class_Otimes(D,E,tc_Rational_Orat),tc_Rational_Orat),C,tc_Rational_Orat),tc_Rational_Orat) | -c_Ring__and__Field_Odvd__class_Odvd(A,E,tc_Rational_Orat).  [resolve(238,a,240,a)].
% 1.06/1.35  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(238,a,241,a)].
% 1.06/1.35  242 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd) # label(axiom).  [assumption].
% 1.06/1.35  Derived: -class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) | c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),E,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,E,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,D,tc_Complex_Ocomplex).  [resolve(242,a,239,a)].
% 1.06/1.35  Derived: -class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) | c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,c_HOL_Otimes__class_Otimes(D,E,tc_Complex_Ocomplex),tc_Complex_Ocomplex),C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,E,tc_Complex_Ocomplex).  [resolve(242,a,240,a)].
% 1.06/1.35  Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(242,a,241,a)].
% 1.06/1.35  243 class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd) # label(axiom).  [assumption].
% 1.06/1.35  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(A)) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(D,E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),F,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,F,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,E,tc_Polynomial_Opoly(A)).  [resolve(243,a,239,a)].
% 1.06/1.35  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(A)) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(E,F,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,F,tc_Polynomial_Opoly(A)).  [resolve(243,a,240,a)].
% 1.06/1.35  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(243,a,241,a)].
% 1.06/1.35  244 class_Divides_Oring__div(tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(97,b,30,a)].
% 1.06/1.35  245 -class_Divides_Oring__div(A) | c_Divides_Odiv__class_Odiv(B,c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(B,C,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_dvd__div__neg_0) # label(axiom).  [assumption].
% 1.06/1.35  246 -class_Divides_Oring__div(A) | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(B,C,A),A) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,A) # label(cls_dvd__neg__div_0) # label(axiom).  [assumption].
% 1.06/1.35  247 -class_Divides_Oring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(B,C,A),A),C,A) # label(cls_mod__minus__eq_0) # label(axiom).  [assumption].
% 1.06/1.35  248 -class_Divides_Oring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(B,D,A),c_Divides_Odiv__class_Omod(C,D,A),A),D,A) # label(cls_mod__diff__eq_0) # label(axiom).  [assumption].
% 1.06/1.35  249 -class_Divides_Oring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A) # label(cls_mod__diff__left__eq_0) # label(axiom).  [assumption].
% 1.06/1.35  250 -class_Divides_Oring__div(A) | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,C,A),D,A) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A) # label(cls_mod__diff__right__eq_0) # label(axiom).  [assumption].
% 1.06/1.35  251 -class_Divides_Oring__div(A) | c_Divides_Odiv__class_Omod(B,C,A) != c_Divides_Odiv__class_Omod(D,C,A) | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(D,A),C,A) # label(cls_mod__minus__cong_0) # label(axiom).  [assumption].
% 1.06/1.35  252 -class_Divides_Oring__div(A) | c_Divides_Odiv__class_Omod(B,C,A) != c_Divides_Odiv__class_Omod(D,C,A) | c_Divides_Odiv__class_Omod(E,C,A) != c_Divides_Odiv__class_Omod(F,C,A) | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(E,B,A),C,A) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(F,D,A),C,A) # label(cls_mod__diff__cong_0) # label(axiom).  [assumption].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(244,a,245,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(244,a,246,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(244,a,247,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(244,a,248,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(244,a,249,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Rational_Orat)),tc_Polynomial_Opoly(tc_Rational_Orat)),C,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(244,a,250,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(244,a,251,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Rational_Orat)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Rational_Orat)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Rational_Orat)) | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(D,A,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(E,C,tc_Polynomial_Opoly(tc_Rational_Orat)),B,tc_Polynomial_Opoly(tc_Rational_Orat)).  [resolve(244,a,252,a)].
% 1.06/1.35  253 class_Divides_Oring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(97,b,95,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(253,a,245,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(253,a,246,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(253,a,247,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(253,a,248,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(253,a,249,a)].
% 1.06/1.35  Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(253,a,250,a)].
% 1.12/1.37  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(253,a,251,a)].
% 1.12/1.37  Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(D,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(E,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(253,a,252,a)].
% 1.12/1.37  254 class_OrderedGroup_Oab__semigroup__mult(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 1.12/1.37  255 -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].
% 1.12/1.37  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(254,a,255,a)].
% 1.12/1.37  256 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 1.12/1.37  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(256,a,255,a)].
% 1.12/1.37  257 class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult) # label(axiom).  [assumption].
% 1.12/1.37  Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(257,a,255,a)].
% 1.12/1.37  258 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) # label(axiom).  [assumption].
% 1.12/1.37  259 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) # label(cls_mult__right_Oadd_0) # label(axiom).  [assumption].
% 1.12/1.37  260 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) # label(cls_mult_Oadd__right_0) # label(axiom).  [assumption].
% 1.12/1.37  261 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_mult__left_Oadd_0) # label(axiom).  [assumption].
% 1.12/1.37  262 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_mult_Oadd__left_0) # label(axiom).  [assumption].
% 1.12/1.37  263 -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].
% 1.12/1.37  264 -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].
% 1.12/1.37  265 -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].
% 1.12/1.37  266 -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].
% 1.12/1.37  267 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,D,A),c_HOL_Ominus__class_Ominus(C,E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,D,A),E,A),A),c_HOL_Otimes__class_Otimes(D,c_HOL_Ominus__class_Ominus(C,E,A),A),A) # label(cls_mult_Oprod__diff__prod_0) # label(axiom).  [assumption].
% 1.12/1.37  268 -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].
% 1.12/1.37  269 -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].
% 1.12/1.37  270 -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].
% 1.12/1.37  271 -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].
% 1.12/1.37  272 -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].
% 1.12/1.37  273 -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].
% 1.12/1.37  274 -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].
% 1.12/1.37  275 -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].
% 1.12/1.37  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oplus__class_Oplus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(258,a,259,a)].
% 1.12/1.37  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(258,a,261,a)].
% 1.12/1.37  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(258,a,263,a)].
% 1.12/1.40  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(258,a,265,a)].
% 1.12/1.40  Derived: c_HOL_Ominus__class_Ominus(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_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,C,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,C,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,c_HOL_Ominus__class_Ominus(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(258,a,267,a)].
% 1.12/1.40  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(258,a,268,a)].
% 1.12/1.40  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(258,a,270,a)].
% 1.12/1.40  276 class_Ring__and__Field_Ocomm__semiring(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring) # label(axiom).  [assumption].
% 1.12/1.40  277 -class_Ring__and__Field_Ocomm__semiring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_comm__semiring__class_Odistrib_0) # label(axiom).  [assumption].
% 1.12/1.40  Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_Rational_Orat),c_HOL_Otimes__class_Otimes(B,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(276,a,277,a)].
% 1.12/1.40  278 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) # label(axiom).  [assumption].
% 1.12/1.40  279 class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring) # label(axiom).  [assumption].
% 1.12/1.40  Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(279,a,277,a)].
% 1.12/1.40  280 class_OrderedGroup_Opordered__ab__group__add__abs(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Opordered__ab__group__add__abs) # label(axiom).  [assumption].
% 1.12/1.40  281 -class_OrderedGroup_Opordered__ab__group__add__abs(A) | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,B,A),A) # label(cls_abs__minus__commute_0) # label(axiom).  [assumption].
% 1.12/1.40  282 -class_OrderedGroup_Opordered__ab__group__add__abs(A) | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_abs__eq__0_1) # label(axiom).  [assumption].
% 1.12/1.40  283 -class_OrderedGroup_Opordered__ab__group__add__abs(A) | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Oabs__class_Oabs(B,A) # label(cls_abs__minus__cancel_0) # label(axiom).  [assumption].
% 1.12/1.40  284 -class_OrderedGroup_Opordered__ab__group__add__abs(A) | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(B,A),A) = c_HOL_Oabs__class_Oabs(B,A) # label(cls_abs__idempotent_0) # label(axiom).  [assumption].
% 1.12/1.40  285 -class_OrderedGroup_Opordered__ab__group__add__abs(A) | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A) # label(cls_abs__add__abs_0) # label(axiom).  [assumption].
% 1.12/1.41  286 -class_OrderedGroup_Opordered__ab__group__add__abs(A) | c_HOL_Oabs__class_Oabs(B,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_abs__eq__0_0) # label(axiom).  [assumption].
% 1.12/1.41  Derived: c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,A,tc_Rational_Orat),tc_Rational_Orat).  [resolve(280,a,281,a)].
% 1.12/1.41  Derived: c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(280,a,282,a)].
% 1.12/1.41  Derived: c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat).  [resolve(280,a,283,a)].
% 1.12/1.41  Derived: c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat).  [resolve(280,a,284,a)].
% 1.12/1.41  Derived: c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat),c_HOL_Oabs__class_Oabs(B,tc_Rational_Orat),tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat),c_HOL_Oabs__class_Oabs(B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(280,a,285,a)].
% 1.12/1.41  Derived: c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat) != c_HOL_Ozero__class_Ozero(tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(280,a,286,a)].
% 1.12/1.41  287 class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oordered__idom(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs) # label(axiom).  [assumption].
% 1.12/1.41  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(287,a,281,a)].
% 1.12/1.41  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(287,a,282,a)].
% 1.12/1.41  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oabs__class_Oabs(B,tc_Polynomial_Opoly(A)).  [resolve(287,a,283,a)].
% 1.12/1.41  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oabs__class_Oabs(B,tc_Polynomial_Opoly(A)).  [resolve(287,a,284,a)].
% 1.12/1.41  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,tc_Polynomial_Opoly(A)),c_HOL_Oabs__class_Oabs(C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,tc_Polynomial_Opoly(A)),c_HOL_Oabs__class_Oabs(C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(287,a,285,a)].
% 1.12/1.41  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs__class_Oabs(B,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(287,a,286,a)].
% 1.12/1.41  288 class_OrderedGroup_Oordered__ab__group__add(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Oordered__ab__group__add) # label(axiom).  [assumption].
% 1.12/1.41  289 -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].
% 1.12/1.41  290 -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].
% 1.12/1.41  Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat) != A | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(288,a,289,a)].
% 1.12/1.43  291 class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oordered__idom(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add) # label(axiom).  [assumption].
% 1.12/1.43  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)) != B | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(291,a,289,a)].
% 1.12/1.43  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).  [resolve(291,a,290,a)].
% 1.12/1.43  292 class_OrderedGroup_Omonoid__mult(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Omonoid__mult) # label(axiom).  [assumption].
% 1.12/1.43  293 -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].
% 1.12/1.43  294 -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].
% 1.12/1.43  295 -class_OrderedGroup_Omonoid__mult(A) | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A) = c_HOL_Oone__class_Oone(A) # label(cls_power__one_0) # label(axiom).  [assumption].
% 1.12/1.43  296 -class_OrderedGroup_Omonoid__mult(A) | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,C,A),B,A) = c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A) # label(cls_power__commutes_0) # label(axiom).  [assumption].
% 1.12/1.43  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_Rational_Orat),tc_Rational_Orat) = A.  [resolve(292,a,293,a)].
% 1.12/1.43  Derived: c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Rational_Orat),A,tc_Rational_Orat) = c_HOL_Oone__class_Oone(tc_Rational_Orat).  [resolve(292,a,295,a)].
% 1.12/1.43  Derived: c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,B,tc_Rational_Orat),A,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(A,c_Power_Opower__class_Opower(A,B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(292,a,296,a)].
% 1.12/1.43  297 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) # label(axiom).  [assumption].
% 1.12/1.43  Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(297,a,293,a)].
% 1.12/1.43  Derived: c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).  [resolve(297,a,295,a)].
% 1.12/1.43  Derived: c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(297,a,296,a)].
% 1.12/1.43  298 class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult) # label(axiom).  [assumption].
% 1.12/1.43  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B.  [resolve(298,a,293,a)].
% 1.12/1.43  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)).  [resolve(298,a,295,a)].
% 1.12/1.43  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(298,a,296,a)].
% 1.12/1.43  299 class_OrderedGroup_Oab__semigroup__add(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__add) # label(axiom).  [assumption].
% 1.12/1.43  300 -class_OrderedGroup_Oab__semigroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A) # label(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) # label(axiom).  [assumption].
% 1.12/1.45  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat),C,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_Rational_Orat),tc_Rational_Orat).  [resolve(299,a,300,a)].
% 1.12/1.45  301 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) # label(axiom).  [assumption].
% 1.12/1.45  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(301,a,300,a)].
% 1.12/1.45  302 class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Ocomm__monoid__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add) # label(axiom).  [assumption].
% 1.12/1.45  Derived: -class_OrderedGroup_Ocomm__monoid__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(302,a,300,a)].
% 1.12/1.45  303 class_Ring__and__Field_Osemiring(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Osemiring) # label(axiom).  [assumption].
% 1.12/1.45  304 -class_Ring__and__Field_Osemiring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A),E,A) # label(cls_combine__common__factor_0) # label(axiom).  [assumption].
% 1.12/1.45  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Rational_Orat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_Rational_Orat),D,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,C,tc_Rational_Orat),B,tc_Rational_Orat),D,tc_Rational_Orat).  [resolve(303,a,304,a)].
% 1.12/1.45  305 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) # label(axiom).  [assumption].
% 1.12/1.45  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,C,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex).  [resolve(305,a,304,a)].
% 1.12/1.45  306 class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring) # label(axiom).  [assumption].
% 1.12/1.45  Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,tc_Polynomial_Opoly(A)),E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),E,tc_Polynomial_Opoly(A)).  [resolve(306,a,304,a)].
% 1.12/1.45  307 class_Ring__and__Field_Oordered__field(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Oordered__field) # label(axiom).  [assumption].
% 1.12/1.45  308 -class_Ring__and__Field_Oordered__field(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(B,A),A) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(B,A),A) # label(cls_abs__inverse_0) # label(axiom).  [assumption].
% 1.12/1.45  309 -class_Ring__and__Field_Oordered__field(A) | -class_Ring__and__Field_Odivision__by__zero(A) | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(B,C,A),A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A) # label(cls_abs__divide_0) # label(axiom).  [assumption].
% 1.12/1.45  310 -class_Ring__and__Field_Oordered__field(A) | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(B,A),A) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(B,A),A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__abs__inverse_0) # label(axiom).  [assumption].
% 1.21/1.47  311 -class_Ring__and__Field_Oordered__field(A) | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(B,C,A),A) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_nonzero__abs__divide_0) # label(axiom).  [assumption].
% 1.21/1.47  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat),tc_Rational_Orat).  [resolve(307,a,308,a)].
% 1.21/1.47  Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat),c_HOL_Oabs__class_Oabs(B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(307,a,309,a)].
% 1.21/1.47  Derived: c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(A,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat),tc_Rational_Orat) | A = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(307,a,310,a)].
% 1.21/1.47  Derived: c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(A,B,tc_Rational_Orat),tc_Rational_Orat) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(A,tc_Rational_Orat),c_HOL_Oabs__class_Oabs(B,tc_Rational_Orat),tc_Rational_Orat) | B = c_HOL_Ozero__class_Ozero(tc_Rational_Orat).  [resolve(307,a,311,a)].
% 1.21/1.47  312 class_OrderedGroup_Omonoid__add(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Omonoid__add) # label(axiom).  [assumption].
% 1.21/1.47  313 -class_OrderedGroup_Omonoid__add(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A) = B # label(cls_monoid__add__class_Oadd__0__right_0) # label(axiom).  [assumption].
% 1.21/1.47  314 -class_OrderedGroup_Omonoid__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A) = B # label(cls_add__0__left_0) # label(axiom).  [assumption].
% 1.21/1.47  Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_Rational_Orat),tc_Rational_Orat) = A.  [resolve(312,a,313,a)].
% 1.21/1.47  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Rational_Orat),A,tc_Rational_Orat) = A.  [resolve(312,a,314,a)].
% 1.21/1.47  315 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) # label(axiom).  [assumption].
% 1.21/1.47  Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A.  [resolve(315,a,313,a)].
% 1.21/1.47  Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = A.  [resolve(315,a,314,a)].
% 1.21/1.47  316 class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Ocomm__monoid__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add) # label(axiom).  [assumption].
% 1.21/1.47  Derived: -class_OrderedGroup_Ocomm__monoid__add(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B.  [resolve(316,a,313,a)].
% 1.21/1.47  Derived: -class_OrderedGroup_Ocomm__monoid__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = B.  [resolve(316,a,314,a)].
% 1.21/1.47  317 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom).  [assumption].
% 1.21/1.47  318 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Oplus__class_Oplus(B,D,A) | C = D # label(cls_add__imp__eq_0) # label(axiom).  [assumption].
% 1.21/1.47  Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat) != c_HOL_Oplus__class_Oplus(A,C,tc_Rational_Orat) | B = C.  [resolve(317,a,318,a)].
% 1.21/1.47  319 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom).  [assumption].
% 1.24/1.50  Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(A,C,tc_Complex_Ocomplex) | B = C.  [resolve(319,a,318,a)].
% 1.24/1.50  320 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Ocancel__comm__monoid__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom).  [assumption].
% 1.24/1.50  Derived: -class_OrderedGroup_Ocancel__comm__monoid__add(A) | c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Oplus__class_Oplus(B,D,tc_Polynomial_Opoly(A)) | C = D.  [resolve(320,a,318,a)].
% 1.24/1.50  321 class_OrderedGroup_Ocancel__semigroup__add(tc_Rational_Orat) # label(clsarity_Rational__Orat__OrderedGroup_Ocancel__semigroup__add) # label(axiom).  [assumption].
% 1.24/1.50  322 -class_OrderedGroup_Ocancel__semigroup__add(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Oplus__class_Oplus(B,D,A) | C = D # label(cls_add__left__cancel_0) # label(axiom).  [assumption].
% 1.24/1.50  323 -class_OrderedGroup_Ocancel__semigroup__add(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Oplus__class_Oplus(D,C,A) | B = D # label(cls_add__right__cancel_0) # label(axiom).  [assumption].
% 1.24/1.50  Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Rational_Orat) != c_HOL_Oplus__class_Oplus(C,B,tc_Rational_Orat) | A = C.  [resolve(321,a,323,a)].
% 1.24/1.50  324 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) # label(axiom).  [assumption].
% 1.24/1.50  Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(C,B,tc_Complex_Ocomplex) | A = C.  [resolve(324,a,323,a)].
% 1.24/1.50  325 class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Ocancel__comm__monoid__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add) # label(axiom).  [assumption].
% 1.24/1.50  Derived: -class_OrderedGroup_Ocancel__comm__monoid__add(A) | c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Oplus__class_Oplus(D,C,tc_Polynomial_Opoly(A)) | B = D.  [resolve(325,a,323,a)].
% 1.24/1.50  326 class_RealVector_Oreal__field(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__field) # label(axiom).  [assumption].
% 1.24/1.50  327 -class_RealVector_Oreal__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A),F,A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(C,E,A),F,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),F,A),E,A),A) # label(cls_DERIV__mult__lemma_0) # label(axiom).  [assumption].
% 1.24/1.50  Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),E,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,C,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(326,a,327,a)].
% 1.24/1.50  328 class_Ring__and__Field_Oring__1(tc_Rational_Orat) # label(clsarity_Rational__Orat__Ring__and__Field_Oring__1) # label(axiom).  [assumption].
% 1.24/1.50  329 -class_Ring__and__Field_Oring__1(A) | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),C,A),c_Power_Opower__class_Opower(B,C,A),A) # label(cls_power__minus_0) # label(axiom).  [assumption].
% 1.24/1.50  Derived: c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(A,tc_Rational_Orat),B,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Rational_Orat),tc_Rational_Orat),B,tc_Rational_Orat),c_Power_Opower__class_Opower(A,B,tc_Rational_Orat),tc_Rational_Orat).  [resolve(328,a,329,a)].
% 1.28/1.55  330 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1) # label(axiom).  [assumption].
% 1.28/1.55  Derived: c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex).  [resolve(330,a,329,a)].
% 1.28/1.55  331 class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__ring__1(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1) # label(axiom).  [assumption].
% 1.28/1.55  Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).  [resolve(331,a,329,a)].
% 1.28/1.55  
% 1.28/1.55  ============================== end predicate elimination =============
% 1.28/1.55  
% 1.28/1.55  Auto_denials:  (non-Horn, no changes).
% 1.28/1.55  
% 1.28/1.55  Term ordering decisions:
% 1.28/1.55  Function symbol KB weights:  tc_Rational_Orat=1. tc_Complex_Ocomplex=1. v_p=1. v_q=1. v_r=1. v_p_H=1. c_HOL_Ouminus__class_Ouminus=1. c_HOL_Oinverse__class_Oinverse=1. c_HOL_Oabs__class_Oabs=1. tc_Polynomial_Opoly=1. c_HOL_Ozero__class_Ozero=1. c_HOL_Oone__class_Oone=1. c_HOL_Otimes__class_Otimes=1. c_HOL_Oplus__class_Oplus=1. c_Divides_Odiv__class_Omod=1. c_HOL_Oinverse__class_Odivide=1. c_HOL_Ominus__class_Ominus=1. c_Divides_Odiv__class_Odiv=1. c_Power_Opower__class_Opower=1. c_Polynomial_Opoly__gcd=1. c_Polynomial_Osmult=1.
% 1.28/1.55  
% 1.28/1.55  ============================== end of process initial clauses ========
% 1.28/1.55  
% 1.28/1.55  ============================== CLAUSES FOR SEARCH ====================
% 1.28/1.55  
% 1.28/1.55  ============================== end of clauses for search =============
% 1.28/1.55  
% 1.28/1.55  ============================== SEARCH ================================
% 1.28/1.55  
% 1.28/1.55  % Starting search at 0.47 seconds.
% 1.28/1.55  
% 1.28/1.55  ============================== PROOF =================================
% 1.28/1.55  % SZS status Unsatisfiable
% 1.28/1.55  % SZS output start Refutation
% 1.28/1.55  
% 1.28/1.55  % Proof 1 at 0.48 (+ 0.00) seconds.
% 1.28/1.55  % Length of proof is 7.
% 1.28/1.55  % Level of proof is 3.
% 1.28/1.55  % Maximum clause weight is 10.000.
% 1.28/1.55  % Given clauses 93.
% 1.28/1.55  
% 1.28/1.55  449 c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) # label(cls_CHAINED_0) # label(axiom).  [assumption].
% 1.28/1.55  450 c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) # label(cls_CHAINED_0_01) # label(axiom).  [assumption].
% 1.28/1.55  451 -c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 1.28/1.55  452 c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 1.28/1.55  1268 c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [resolve(452,b,449,b),merge(b)].
% 1.28/1.55  1269 -c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)).  [back_unit_del(451),unit_del(b,1268)].
% 1.28/1.55  1270 $F.  [back_unit_del(450),unit_del(a,1269),unit_del(b,1268)].
% 1.28/1.55  
% 1.28/1.55  % SZS output end Refutation
% 1.28/1.55  ============================== end of proof ==========================
% 1.28/1.55  
% 1.28/1.55  ============================== STATISTICS ============================
% 1.28/1.55  
% 1.28/1.55  Given=93. Generated=783. Kept=624. proofs=1.
% 1.28/1.55  Usable=89. Sos=501. Demods=165. Limbo=2, Disabled=1011. Hints=0.
% 1.28/1.55  Megabytes=1.32.
% 1.28/1.55  User_CPU=0.48, System_CPU=0.00, Wall_clock=0.
% 1.28/1.55  
% 1.28/1.55  ============================== end of statistics =====================
% 1.28/1.55  
% 1.28/1.55  ============================== end of search =========================
% 1.28/1.55  
% 1.28/1.55  THEOREM PROVED
% 1.28/1.55  % SZS status Unsatisfiable
% 1.28/1.55  
% 1.28/1.55  Exiting with 1 proof.
% 1.28/1.55  
% 1.28/1.55  Process 669 exit (max_proofs) Wed Jun  8 08:58:49 2022
% 1.28/1.55  Prover9 interrupted
%------------------------------------------------------------------------------