TSTP Solution File: ALG344-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG344-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 17:54:30 EDT 2022
% Result : Timeout 300.06s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG344-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 11:58:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.99/1.25 ============================== Prover9 ===============================
% 0.99/1.25 Prover9 (32) version 2009-11A, November 2009.
% 0.99/1.25 Process 18319 was started by sandbox2 on n022.cluster.edu,
% 0.99/1.25 Wed Jun 8 11:58:35 2022
% 0.99/1.25 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_18166_n022.cluster.edu".
% 0.99/1.25 ============================== end of head ===========================
% 0.99/1.25
% 0.99/1.25 ============================== INPUT =================================
% 0.99/1.25
% 0.99/1.25 % Reading from file /tmp/Prover9_18166_n022.cluster.edu
% 0.99/1.25
% 0.99/1.25 set(prolog_style_variables).
% 0.99/1.25 set(auto2).
% 0.99/1.25 % set(auto2) -> set(auto).
% 0.99/1.25 % set(auto) -> set(auto_inference).
% 0.99/1.25 % set(auto) -> set(auto_setup).
% 0.99/1.25 % set(auto_setup) -> set(predicate_elim).
% 0.99/1.25 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.99/1.25 % set(auto) -> set(auto_limits).
% 0.99/1.25 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.99/1.25 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.99/1.25 % set(auto) -> set(auto_denials).
% 0.99/1.25 % set(auto) -> set(auto_process).
% 0.99/1.25 % set(auto2) -> assign(new_constants, 1).
% 0.99/1.25 % set(auto2) -> assign(fold_denial_max, 3).
% 0.99/1.25 % set(auto2) -> assign(max_weight, "200.000").
% 0.99/1.25 % set(auto2) -> assign(max_hours, 1).
% 0.99/1.25 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.99/1.25 % set(auto2) -> assign(max_seconds, 0).
% 0.99/1.25 % set(auto2) -> assign(max_minutes, 5).
% 0.99/1.25 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.99/1.25 % set(auto2) -> set(sort_initial_sos).
% 0.99/1.25 % set(auto2) -> assign(sos_limit, -1).
% 0.99/1.25 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.99/1.25 % set(auto2) -> assign(max_megs, 400).
% 0.99/1.25 % set(auto2) -> assign(stats, some).
% 0.99/1.25 % set(auto2) -> clear(echo_input).
% 0.99/1.25 % set(auto2) -> set(quiet).
% 0.99/1.25 % set(auto2) -> clear(print_initial_clauses).
% 0.99/1.25 % set(auto2) -> clear(print_given).
% 0.99/1.25 assign(lrs_ticks,-1).
% 0.99/1.25 assign(sos_limit,10000).
% 0.99/1.25 assign(order,kbo).
% 0.99/1.25 set(lex_order_vars).
% 0.99/1.25 clear(print_given).
% 0.99/1.25
% 0.99/1.25 % formulas(sos). % not echoed (664 formulas)
% 0.99/1.25
% 0.99/1.25 ============================== end of input ==========================
% 0.99/1.25
% 0.99/1.25 % From the command line: assign(max_seconds, 300).
% 0.99/1.25
% 0.99/1.25 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.99/1.25
% 0.99/1.25 % Formulas that are not ordinary clauses:
% 0.99/1.25
% 0.99/1.25 ============================== end of process non-clausal formulas ===
% 0.99/1.25
% 0.99/1.25 ============================== PROCESS INITIAL CLAUSES ===============
% 0.99/1.25
% 0.99/1.25 ============================== PREDICATE ELIMINATION =================
% 0.99/1.25 1 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring) # label(axiom). [assumption].
% 0.99/1.25 2 -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].
% 0.99/1.25 3 -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].
% 0.99/1.25 4 -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].
% 0.99/1.25 5 -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].
% 0.99/1.25 6 -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].
% 0.99/1.25 7 -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].
% 0.99/1.25 8 -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].
% 0.99/1.25 9 -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].
% 0.99/1.25 10 -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].
% 0.99/1.25 11 -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].
% 0.99/1.25 12 -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].
% 0.99/1.25 13 -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].
% 0.99/1.25 14 -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].
% 0.99/1.25 15 -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].
% 0.99/1.25 16 -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].
% 0.99/1.25 17 -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].
% 0.99/1.25 18 -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].
% 0.99/1.25 19 -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].
% 0.99/1.25 20 -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].
% 0.99/1.25 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal) | A = B. [resolve(1,a,2,a)].
% 0.99/1.25 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal). [resolve(1,a,3,a)].
% 0.99/1.25 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(1,a,4,a)].
% 0.99/1.25 Derived: c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal) = B. [resolve(1,a,5,a)].
% 0.99/1.25 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(1,a,6,a)].
% 0.99/1.25 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,7,a)].
% 0.99/1.25 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,8,a)].
% 0.99/1.25 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,9,a)].
% 0.99/1.25 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,10,a)].
% 0.99/1.25 Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,11,a)].
% 0.99/1.25 Derived: c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,12,a)].
% 0.99/1.25 Derived: c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,14,a)].
% 0.99/1.25 Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,15,a)].
% 0.99/1.25 Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal). [resolve(1,a,16,a)].
% 0.99/1.25 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(B,A,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,17,a)].
% 0.99/1.29 Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = A | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,18,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,19,a)].
% 0.99/1.29 Derived: c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal) | A = B | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(1,a,20,a)].
% 0.99/1.29 21 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Ocomm__monoid__mult) # label(axiom). [assumption].
% 0.99/1.29 22 -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].
% 0.99/1.29 23 -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].
% 0.99/1.29 Derived: c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(A,B,tc_nat),C,tc_nat) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,C,tc_nat),c_Power_Opower__class_Opower(B,C,tc_nat),tc_nat). [resolve(21,a,22,a)].
% 0.99/1.29 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat) = A. [resolve(21,a,23,a)].
% 0.99/1.29 24 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) # label(axiom). [assumption].
% 0.99/1.29 Derived: c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,C,tc_RealDef_Oreal),c_Power_Opower__class_Opower(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(24,a,22,a)].
% 0.99/1.29 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = A. [resolve(24,a,23,a)].
% 0.99/1.29 25 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].
% 0.99/1.29 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(25,a,22,a)].
% 0.99/1.29 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(25,a,23,a)].
% 0.99/1.29 26 class_Divides_Osemiring__div(tc_nat) # label(clsarity_nat__Divides_Osemiring__div) # label(axiom). [assumption].
% 0.99/1.29 27 -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].
% 0.99/1.29 28 -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].
% 0.99/1.29 29 -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].
% 0.99/1.29 30 -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].
% 0.99/1.29 31 -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].
% 0.99/1.29 32 -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].
% 0.99/1.29 33 -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].
% 0.99/1.29 34 -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].
% 0.99/1.29 35 -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].
% 0.99/1.29 36 -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].
% 0.99/1.29 37 -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].
% 0.99/1.29 38 -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].
% 0.99/1.29 39 -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].
% 0.99/1.29 40 -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].
% 0.99/1.29 41 -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].
% 0.99/1.29 42 -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].
% 0.99/1.29 43 -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].
% 0.99/1.29 44 -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].
% 0.99/1.29 45 -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].
% 0.99/1.29 46 -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].
% 0.99/1.29 47 -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].
% 0.99/1.29 48 -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].
% 0.99/1.29 49 -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].
% 0.99/1.29 50 -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].
% 0.99/1.29 51 -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].
% 0.99/1.29 52 -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].
% 0.99/1.29 53 -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].
% 0.99/1.29 54 -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].
% 0.99/1.29 55 -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].
% 0.99/1.29 56 -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].
% 0.99/1.29 57 -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].
% 0.99/1.29 58 -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].
% 0.99/1.29 59 -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].
% 0.99/1.29 60 -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].
% 0.99/1.29 61 -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].
% 0.99/1.29 62 -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].
% 0.99/1.29 63 -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].
% 0.99/1.29 64 -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].
% 0.99/1.29 65 -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].
% 0.99/1.29 66 -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].
% 0.99/1.29 67 -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].
% 0.99/1.29 68 -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].
% 0.99/1.29 69 -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].
% 0.99/1.29 70 -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].
% 0.99/1.29 71 -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].
% 0.99/1.29 72 -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].
% 0.99/1.29 73 -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].
% 0.99/1.29 74 -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].
% 0.99/1.29 75 -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].
% 0.99/1.29 76 -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].
% 0.99/1.29 77 -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].
% 0.99/1.29 78 -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].
% 0.99/1.29 79 -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].
% 0.99/1.29 80 -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].
% 0.99/1.29 81 -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].
% 0.99/1.29 82 -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].
% 0.99/1.29 83 -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].
% 0.99/1.29 84 -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].
% 0.99/1.29 85 -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].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_nat),tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat). [resolve(26,a,27,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_nat),C,tc_nat),B,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat). [resolve(26,a,28,a)].
% 0.99/1.29 Derived: A = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_nat),B,tc_nat),c_Divides_Odiv__class_Omod(A,B,tc_nat),tc_nat). [resolve(26,a,29,a)].
% 0.99/1.29 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_nat),B,tc_nat),c_Divides_Odiv__class_Omod(A,B,tc_nat),tc_nat) = A. [resolve(26,a,30,a)].
% 0.99/1.29 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_nat),tc_nat),c_Divides_Odiv__class_Omod(B,A,tc_nat),tc_nat) = B. [resolve(26,a,31,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_nat),B,tc_nat) = c_Divides_Odiv__class_Omod(A,B,tc_nat). [resolve(26,a,32,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_nat),A,tc_nat) = c_Divides_Odiv__class_Omod(B,A,tc_nat). [resolve(26,a,33,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,34,a)].
% 0.99/1.29 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_nat),c_Divides_Odiv__class_Odiv(C,D,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(B,D,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat). [resolve(26,a,35,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_nat),B,tc_nat) = A | B = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,36,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_nat),A,tc_nat) = B | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,37,a)].
% 0.99/1.29 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_nat),tc_nat). [resolve(26,a,38,a)].
% 0.99/1.29 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat). [resolve(26,a,39,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,C,tc_nat),c_Divides_Odiv__class_Odiv(B,C,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat). [resolve(26,a,42,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,B,tc_nat),C,tc_nat),B,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,C,tc_nat),B,tc_nat). [resolve(26,a,43,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_nat),A,tc_nat) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,A,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,44,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_nat),B,tc_nat) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,B,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) | B = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,45,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(B,C,tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,46,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(A,C,tc_nat) | B = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,47,a)].
% 0.99/1.29 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,C,tc_nat),c_Divides_Odiv__class_Odiv(B,C,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat). [resolve(26,a,48,a)].
% 0.99/1.29 Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,B,tc_nat),c_Divides_Odiv__class_Odiv(C,B,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat). [resolve(26,a,49,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(A,B,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat). [resolve(26,a,50,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(A,B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat). [resolve(26,a,51,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_nat),B,tc_nat) = c_Divides_Odiv__class_Omod(A,B,tc_nat). [resolve(26,a,52,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(A,A,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,53,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_nat),c_Divides_Odiv__class_Omod(B,C,tc_nat),tc_nat),C,tc_nat). [resolve(26,a,54,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_nat),tc_nat),C,tc_nat). [resolve(26,a,55,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_nat),B,tc_nat),C,tc_nat). [resolve(26,a,56,a)].
% 0.99/1.29 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_nat),B,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat). [resolve(26,a,57,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_nat),tc_nat),C,tc_nat). [resolve(26,a,58,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_nat),B,tc_nat),C,tc_nat). [resolve(26,a,59,a)].
% 0.99/1.29 Derived: c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_nat),tc_nat) = B | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat). [resolve(26,a,60,a)].
% 0.99/1.29 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_nat),B,tc_nat) = A | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat). [resolve(26,a,61,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat),B,tc_nat) = c_Divides_Odiv__class_Omod(A,B,tc_nat). [resolve(26,a,62,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(A,C,tc_nat). [resolve(26,a,63,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = A. [resolve(26,a,64,a)].
% 0.99/1.29 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_nat),B,tc_nat),c_Divides_Odiv__class_Omod(A,B,tc_nat),tc_nat),C,tc_nat) = c_HOL_Oplus__class_Oplus(A,C,tc_nat). [resolve(26,a,65,a)].
% 0.99/1.29 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_nat),tc_nat),c_Divides_Odiv__class_Omod(B,A,tc_nat),tc_nat),C,tc_nat) = c_HOL_Oplus__class_Oplus(B,C,tc_nat). [resolve(26,a,66,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(A,B,tc_nat),B,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,67,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_nat),c_Divides_Odiv__class_Omod(B,C,tc_nat),tc_nat),C,tc_nat). [resolve(26,a,68,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat),C,tc_nat) = c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Odiv(A,C,tc_nat),tc_nat) | C = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,69,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat),B,tc_nat) = c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(A,B,tc_nat),tc_nat) | B = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,70,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(A,B,tc_nat) != c_Divides_Odiv__class_Omod(C,B,tc_nat) | c_Divides_Odiv__class_Omod(D,B,tc_nat) != c_Divides_Odiv__class_Omod(E,B,tc_nat) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(D,A,tc_nat),B,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,C,tc_nat),B,tc_nat). [resolve(26,a,71,a)].
% 0.99/1.29 Derived: c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(A,C,tc_nat),c_Power_Opower__class_Opower(B,C,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat). [resolve(26,a,72,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(A,B,tc_nat) != c_Divides_Odiv__class_Omod(C,B,tc_nat) | c_Divides_Odiv__class_Omod(D,B,tc_nat) != c_Divides_Odiv__class_Omod(E,B,tc_nat) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(D,A,tc_nat),B,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,C,tc_nat),B,tc_nat). [resolve(26,a,73,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,74,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_nat),C,tc_nat) = c_Divides_Odiv__class_Omod(A,C,tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat). [resolve(26,a,75,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,76,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),B,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,77,a)].
% 0.99/1.29 Derived: c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_nat),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_nat),B,tc_nat),tc_nat) = A. [resolve(26,a,78,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_nat),tc_nat). [resolve(26,a,79,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_nat),B,tc_nat). [resolve(26,a,80,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(A,A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,81,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = A. [resolve(26,a,82,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,83,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,84,a)].
% 0.99/1.29 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(26,a,85,a)].
% 0.99/1.29 86 class_Divides_Osemiring__div(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ofield(A) # label(clsarity_Polynomial__Opoly__Divides_Osemiring__div) # label(axiom). [assumption].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,27,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,28,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | B = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(86,a,29,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B. [resolve(86,a,30,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = C. [resolve(86,a,31,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)). [resolve(86,a,32,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,33,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,34,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Odiv(D,E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(C,E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(E,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,35,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = B | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,36,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = C | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,37,a)].
% 0.99/1.29 Derived: -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,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(86,a,38,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A)). [resolve(86,a,39,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,D,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,B,tc_Polynomial_Opoly(A)). [resolve(86,a,42,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,43,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(A)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,44,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,45,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,46,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(D,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Odiv(B,D,tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,47,a)].
% 0.99/1.29 Derived: -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(c_Divides_Odiv__class_Odiv(B,D,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,B,tc_Polynomial_Opoly(A)). [resolve(86,a,48,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Odiv(D,C,tc_Polynomial_Opoly(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(C,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,49,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,50,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,51,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)). [resolve(86,a,52,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(B,B,tc_Polynomial_Opoly(A)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,53,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,54,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,55,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,56,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,57,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,58,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,59,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = C | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)). [resolve(86,a,60,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = B | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,61,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)). [resolve(86,a,62,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)). [resolve(86,a,63,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(B,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B. [resolve(86,a,64,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(B,D,tc_Polynomial_Opoly(A)). [resolve(86,a,65,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(C,D,tc_Polynomial_Opoly(A)). [resolve(86,a,66,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,67,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,68,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(B,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | D = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,69,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(D,c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,70,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)) != c_Divides_Odiv__class_Omod(D,C,tc_Polynomial_Opoly(A)) | c_Divides_Odiv__class_Omod(E,C,tc_Polynomial_Opoly(A)) != c_Divides_Odiv__class_Omod(F,C,tc_Polynomial_Opoly(A)) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(F,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,71,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Odiv(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)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,72,a)].
% 0.99/1.29 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)) != c_Divides_Odiv__class_Omod(D,C,tc_Polynomial_Opoly(A)) | c_Divides_Odiv__class_Omod(E,C,tc_Polynomial_Opoly(A)) != c_Divides_Odiv__class_Omod(F,C,tc_Polynomial_Opoly(A)) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(F,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,73,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,74,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(A)). [resolve(86,a,75,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,76,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,77,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B. [resolve(86,a,78,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(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_Otimes__class_Otimes(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(86,a,79,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(D,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,80,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,81,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B. [resolve(86,a,82,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,83,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,84,a)].
% 0.99/1.31 Derived: -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,85,a)].
% 0.99/1.31 87 class_Ring__and__Field_Odvd(tc_nat) # label(clsarity_nat__Ring__and__Field_Odvd) # label(axiom). [assumption].
% 0.99/1.31 88 -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].
% 0.99/1.31 89 -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].
% 0.99/1.32 90 -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].
% 0.99/1.32 Derived: -class_Ring__and__Field_Ocomm__ring(tc_nat) | 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_nat),tc_nat),E,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,E,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,D,tc_nat). [resolve(87,a,88,a)].
% 0.99/1.32 Derived: -class_Ring__and__Field_Ocomm__ring(tc_nat) | c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat) | -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_nat),tc_nat),C,tc_nat),tc_nat) | -c_Ring__and__Field_Odvd__class_Odvd(A,E,tc_nat). [resolve(87,a,89,a)].
% 0.99/1.32 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat). [resolve(87,a,90,a)].
% 0.99/1.32 91 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Odvd) # label(axiom). [assumption].
% 0.99/1.32 Derived: -class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) | 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_RealDef_Oreal),tc_RealDef_Oreal),E,tc_RealDef_Oreal),tc_RealDef_Oreal) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,E,tc_RealDef_Oreal),tc_RealDef_Oreal) | -c_Ring__and__Field_Odvd__class_Odvd(A,D,tc_RealDef_Oreal). [resolve(91,a,88,a)].
% 0.99/1.32 Derived: -class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) | c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) | -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_RealDef_Oreal),tc_RealDef_Oreal),C,tc_RealDef_Oreal),tc_RealDef_Oreal) | -c_Ring__and__Field_Odvd__class_Odvd(A,E,tc_RealDef_Oreal). [resolve(91,a,89,a)].
% 0.99/1.32 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(91,a,90,a)].
% 0.99/1.32 92 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].
% 0.99/1.32 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(92,a,88,a)].
% 0.99/1.32 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(92,a,89,a)].
% 0.99/1.32 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(92,a,90,a)].
% 0.99/1.32 93 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Ofield) # label(axiom). [assumption].
% 0.99/1.32 94 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(B,C,A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) # label(cls_smult__dvd__iff_4) # label(axiom). [assumption].
% 0.99/1.32 95 -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].
% 0.99/1.32 96 -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].
% 0.99/1.32 97 -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].
% 0.99/1.32 98 -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].
% 0.99/1.32 99 -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].
% 0.99/1.32 100 -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].
% 0.99/1.32 101 -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].
% 0.99/1.32 102 -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].
% 0.99/1.32 103 -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].
% 0.99/1.32 104 -class_Ring__and__Field_Ofield(A) | B = C | -c_Polynomial_Opdivmod__rel(D,E,F,C,A) | -c_Polynomial_Opdivmod__rel(D,E,V6,B,A) # label(cls_pdivmod__rel__unique_1) # label(axiom). [assumption].
% 0.99/1.32 105 -class_Ring__and__Field_Ofield(A) | B = C | -c_Polynomial_Opdivmod__rel(D,E,C,F,A) | -c_Polynomial_Opdivmod__rel(D,E,B,V6,A) # label(cls_pdivmod__rel__unique_0) # label(axiom). [assumption].
% 0.99/1.32 106 -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].
% 0.99/1.32 107 -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].
% 0.99/1.32 108 -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].
% 0.99/1.32 109 -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].
% 0.99/1.32 110 -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].
% 0.99/1.32 111 -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].
% 0.99/1.32 112 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(B,C,A),D,c_Polynomial_Osmult(B,E,A),c_Polynomial_Osmult(B,F,A),A) | -c_Polynomial_Opdivmod__rel(C,D,E,F,A) # label(cls_pdivmod__rel__smult__left_0) # label(axiom). [assumption].
% 0.99/1.32 113 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),E,tc_Polynomial_Opoly(A)) | -c_Polynomial_Opdivmod__rel(B,D,C,E,A) # label(cls_pdivmod__rel__def_0) # label(axiom). [assumption].
% 0.99/1.32 114 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_poly__gcd__monic_0) # label(axiom). [assumption].
% 0.99/1.32 115 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opdivmod__rel(B,c_Polynomial_Osmult(C,D,A),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(C,A),E,A),F,A) | -c_Polynomial_Opdivmod__rel(B,D,E,F,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_pdivmod__rel__smult__right_0) # label(axiom). [assumption].
% 0.99/1.32 116 -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].
% 0.99/1.32 117 -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].
% 0.99/1.32 118 -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].
% 0.99/1.32 119 -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].
% 0.99/1.32 120 -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].
% 0.99/1.32 121 -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].
% 0.99/1.32 122 -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].
% 0.99/1.32 123 -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].
% 0.99/1.32 124 -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].
% 0.99/1.32 125 -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].
% 0.99/1.32 126 -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].
% 0.99/1.32 127 -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].
% 0.99/1.32 128 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(B,C,A),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(B,C,A),A),A) = c_HOL_Oone__class_Oone(A) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) # label(cls_poly__gcd__monic_2) # label(axiom). [assumption].
% 0.99/1.32 129 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(B,C,A),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(B,C,A),A),A) = c_HOL_Oone__class_Oone(A) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) # label(cls_poly__gcd__monic_1) # label(axiom). [assumption].
% 0.99/1.32 130 -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].
% 0.99/1.32 131 -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].
% 0.99/1.32 132 -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].
% 0.99/1.32 133 -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].
% 0.99/1.32 134 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A) = c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Ocoeff(B,c_Polynomial_Odegree(B,A),A),A),B,A) # label(cls_poly__gcd__code_0) # label(axiom). [assumption].
% 0.99/1.32 135 -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].
% 0.99/1.32 136 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(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)),tc_Polynomial_Opoly(A)),B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A) # label(cls_pdivmod__rel__def_6) # label(axiom). [assumption].
% 0.99/1.32 137 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opdivmod__rel(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)),B,tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A) # label(cls_pdivmod__rel__def_5) # label(axiom). [assumption].
% 0.99/1.33 138 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(B,c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),A) = c_Polynomial_Opoly__gcd(B,C,A) # label(cls_poly__gcd__minus__right_0) # label(axiom). [assumption].
% 0.99/1.33 139 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),C,A) = c_Polynomial_Opoly__gcd(B,C,A) # label(cls_poly__gcd__minus__left_0) # label(axiom). [assumption].
% 0.99/1.33 140 -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].
% 0.99/1.33 141 -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].
% 0.99/1.33 142 -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].
% 0.99/1.33 143 -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].
% 0.99/1.33 144 -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].
% 0.99/1.33 145 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | -c_Polynomial_Opdivmod__rel(C,B,D,E,A) | c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(F,C,A),B,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(F,E,A),c_Polynomial_Odegree(B,A),A),c_Polynomial_Ocoeff(B,c_Polynomial_Odegree(B,A),A),A),D,A),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(F,E,A),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(F,E,A),c_Polynomial_Odegree(B,A),A),c_Polynomial_Ocoeff(B,c_Polynomial_Odegree(B,A),A),A),B,A),tc_Polynomial_Opoly(A)),A) # label(cls_pdivmod__rel__pCons_0) # label(axiom). [assumption].
% 0.99/1.33 146 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opdivmod__rel(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),E,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,F,tc_Polynomial_Opoly(A)),V6,tc_Polynomial_Opoly(A)),A) | -c_Polynomial_Opdivmod__rel(V7,D,E,F,A) | -c_Polynomial_Opdivmod__rel(B,C,V7,V6,A) # label(cls_pdivmod__rel__mult_0) # label(axiom). [assumption].
% 0.99/1.33 147 -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].
% 0.99/1.33 148 -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].
% 0.99/1.33 149 -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].
% 0.99/1.33 150 -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].
% 0.99/1.33 151 -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].
% 0.99/1.33 152 -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].
% 0.99/1.33 153 -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].
% 0.99/1.33 154 -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].
% 0.99/1.33 155 -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].
% 0.99/1.33 156 -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].
% 0.99/1.33 157 -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].
% 0.99/1.33 158 -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].
% 0.99/1.33 159 -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].
% 0.99/1.33 160 -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].
% 0.99/1.33 161 -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].
% 0.99/1.33 162 -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].
% 0.99/1.33 163 -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].
% 0.99/1.33 164 -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].
% 0.99/1.33 165 -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].
% 0.99/1.33 166 -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].
% 0.99/1.33 167 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),B,C,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A) # label(cls_pdivmod__rel__def_3) # label(axiom). [assumption].
% 0.99/1.33 168 -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].
% 0.99/1.33 169 -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].
% 0.99/1.33 170 -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].
% 0.99/1.33 171 -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].
% 0.99/1.33 172 -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].
% 0.99/1.33 173 -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].
% 0.99/1.33 174 -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].
% 0.99/1.33 175 -class_Ring__and__Field_Ofield(A) | -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(A),B,A),C,tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) # label(cls_smult__dvd__iff_0) # label(axiom). [assumption].
% 0.99/1.33 176 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(A),B,A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) # label(cls_smult__dvd__iff_3) # label(axiom). [assumption].
% 0.99/1.33 177 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opdivmod__rel(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A) # label(cls_pdivmod__rel__by__0_0) # label(axiom). [assumption].
% 0.99/1.33 178 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A) # label(cls_pdivmod__rel__0_0) # label(axiom). [assumption].
% 0.99/1.33 179 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(B,C,A) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) # label(cls_poly__gcd__zero__iff_1) # label(axiom). [assumption].
% 0.99/1.33 180 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(B,C,A) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) # label(cls_poly__gcd__zero__iff_0) # label(axiom). [assumption].
% 0.99/1.33 181 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | -c_Polynomial_Opdivmod__rel(C,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,D,A) # label(cls_pdivmod__rel__by__0__iff_0) # label(axiom). [assumption].
% 0.99/1.33 182 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | -c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),C,D,B,A) # label(cls_pdivmod__rel__0__iff_1) # label(axiom). [assumption].
% 0.99/1.33 183 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | -c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),C,B,D,A) # label(cls_pdivmod__rel__0__iff_0) # label(axiom). [assumption].
% 0.99/1.33 184 -class_Ring__and__Field_Ofield(A) | -c_Polynomial_Opdivmod__rel(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),C,D,A) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) # label(cls_pdivmod__rel__def_1) # label(axiom). [assumption].
% 0.99/1.33 185 -class_Ring__and__Field_Ofield(A) | B = C | -c_Polynomial_Opdivmod__rel(C,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),D,B,A) # label(cls_pdivmod__rel__by__0__iff_1) # label(axiom). [assumption].
% 0.99/1.33 186 -class_Ring__and__Field_Ofield(A) | c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) # label(cls_poly__gcd__0__0_0) # label(axiom). [assumption].
% 0.99/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(A,B,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,94,a)].
% 0.99/1.33 Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = B. [resolve(93,a,95,a)].
% 0.99/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(A,B,tc_RealDef_Oreal),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,96,a)].
% 0.99/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | C = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(C,A,tc_RealDef_Oreal),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,97,a)].
% 0.99/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Osmult(B,C,tc_RealDef_Oreal),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,98,a)].
% 0.99/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Osmult(C,B,tc_RealDef_Oreal),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | C = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,99,a)].
% 0.99/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(B,A,tc_RealDef_Oreal). [resolve(93,a,102,a)].
% 0.99/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(C,D,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,D,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,103,a)].
% 0.99/1.33 Derived: A = B | -c_Polynomial_Opdivmod__rel(C,D,E,B,tc_RealDef_Oreal) | -c_Polynomial_Opdivmod__rel(C,D,F,A,tc_RealDef_Oreal). [resolve(93,a,104,a)].
% 0.99/1.33 Derived: A = B | -c_Polynomial_Opdivmod__rel(C,D,B,E,tc_RealDef_Oreal) | -c_Polynomial_Opdivmod__rel(C,D,A,F,tc_RealDef_Oreal). [resolve(93,a,105,a)].
% 0.99/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(A,C,tc_RealDef_Oreal),c_Power_Opower__class_Opower(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,106,a)].
% 0.99/1.33 Derived: A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal),A,tc_RealDef_Oreal). [resolve(93,a,107,a)].
% 0.99/1.33 Derived: A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal),A,tc_RealDef_Oreal) = B. [resolve(93,a,108,a)].
% 0.99/1.33 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(A,C,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,111,a)].
% 0.99/1.33 Derived: c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(A,B,tc_RealDef_Oreal),C,c_Polynomial_Osmult(A,D,tc_RealDef_Oreal),c_Polynomial_Osmult(A,E,tc_RealDef_Oreal),tc_RealDef_Oreal) | -c_Polynomial_Opdivmod__rel(B,C,D,E,tc_RealDef_Oreal). [resolve(93,a,112,a)].
% 0.99/1.33 Derived: A = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),D,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Polynomial_Opdivmod__rel(A,C,B,D,tc_RealDef_Oreal). [resolve(93,a,113,a)].
% 0.99/1.33 Derived: c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,114,a)].
% 0.99/1.33 Derived: c_Polynomial_Opdivmod__rel(A,c_Polynomial_Osmult(B,C,tc_RealDef_Oreal),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),D,tc_RealDef_Oreal),E,tc_RealDef_Oreal) | -c_Polynomial_Opdivmod__rel(A,C,D,E,tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,115,a)].
% 0.99/1.33 Derived: c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal). [resolve(93,a,116,a)].
% 0.99/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal),B,tc_RealDef_Oreal). [resolve(93,a,118,a)].
% 0.99/1.33 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,119,a)].
% 0.99/1.33 Derived: c_Polynomial_Opoly__gcd(A,c_Polynomial_Opoly__gcd(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Polynomial_Opoly__gcd(B,c_Polynomial_Opoly__gcd(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,120,a)].
% 0.99/1.33 Derived: c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_Polynomial_Opoly__gcd(A,c_Polynomial_Opoly__gcd(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,121,a)].
% 0.99/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,122,a)].
% 0.99/1.33 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal). [resolve(93,a,123,a)].
% 1.08/1.33 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(C,D,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,D,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,D,tc_RealDef_Oreal),tc_RealDef_Oreal) | D = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,125,a)].
% 1.08/1.33 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,127,a)].
% 1.08/1.33 Derived: c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,128,a)].
% 1.08/1.33 Derived: c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,129,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal),B,tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,130,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oplus__class_Oplus(A,c_HOL_Oinverse__class_Odivide(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal),C,tc_RealDef_Oreal) | C = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,131,a)].
% 1.08/1.33 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,132,a)].
% 1.08/1.33 Derived: c_HOL_Oinverse__class_Odivide(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(93,a,133,a)].
% 1.08/1.33 Derived: c_Polynomial_Opoly__gcd(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Ocoeff(A,c_Polynomial_Odegree(A,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),A,tc_RealDef_Oreal). [resolve(93,a,134,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,135,a)].
% 1.08/1.33 Derived: c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal). [resolve(93,a,136,a)].
% 1.08/1.33 Derived: c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_RealDef_Oreal). [resolve(93,a,137,a)].
% 1.08/1.33 Derived: c_Polynomial_Opoly__gcd(A,c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal). [resolve(93,a,138,a)].
% 1.08/1.33 Derived: c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_RealDef_Oreal) = c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal). [resolve(93,a,139,a)].
% 1.08/1.33 Derived: A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(A,A,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal). [resolve(93,a,140,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal). [resolve(93,a,143,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) | A = c_HOL_Oone__class_Oone(tc_RealDef_Oreal). [resolve(93,a,144,a)].
% 1.08/1.33 Derived: A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Polynomial_Opdivmod__rel(B,A,C,D,tc_RealDef_Oreal) | c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(E,B,tc_RealDef_Oreal),A,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(E,D,tc_RealDef_Oreal),c_Polynomial_Odegree(A,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Polynomial_Ocoeff(A,c_Polynomial_Odegree(A,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),C,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(E,D,tc_RealDef_Oreal),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(E,D,tc_RealDef_Oreal),c_Polynomial_Odegree(A,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Polynomial_Ocoeff(A,c_Polynomial_Odegree(A,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),A,tc_RealDef_Oreal),tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal). [resolve(93,a,145,a)].
% 1.08/1.33 Derived: c_Polynomial_Opdivmod__rel(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),D,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,tc_Polynomial_Opoly(tc_RealDef_Oreal)),F,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal) | -c_Polynomial_Opdivmod__rel(V6,C,D,E,tc_RealDef_Oreal) | -c_Polynomial_Opdivmod__rel(A,B,V6,F,tc_RealDef_Oreal). [resolve(93,a,146,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(A,C,tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,147,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(B,C,tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,148,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),B,tc_RealDef_Oreal). [resolve(93,a,149,a)].
% 1.08/1.33 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,C,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,150,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,151,a)].
% 1.08/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(B,C,tc_RealDef_Oreal),tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,152,a)].
% 1.08/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(C,B,tc_RealDef_Oreal),tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,153,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal),A,tc_RealDef_Oreal). [resolve(93,a,154,a)].
% 1.08/1.33 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(C,D,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,D,tc_RealDef_Oreal),tc_RealDef_Oreal) | D = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,155,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | A = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),B,tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,156,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = A | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,157,a)].
% 1.08/1.33 Derived: c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal) = c_Polynomial_Opoly__gcd(B,A,tc_RealDef_Oreal). [resolve(93,a,159,a)].
% 1.08/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,160,a)].
% 1.08/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,161,a)].
% 1.08/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Polynomial_Opoly__gcd(B,C,tc_RealDef_Oreal),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,162,a)].
% 1.08/1.33 Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(93,a,164,a)].
% 1.08/1.33 Derived: c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(A,C,tc_RealDef_Oreal),c_Power_Opower__class_Opower(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,166,a)].
% 1.08/1.33 Derived: A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal). [resolve(93,a,167,a)].
% 1.08/1.33 Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(C,D,tc_RealDef_Oreal) | D = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | c_HOL_Otimes__class_Otimes(A,D,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal). [resolve(93,a,168,a)].
% 1.08/1.33 Derived: c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(C,D,tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | D = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(A,D,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(C,B,tc_RealDef_Oreal). [resolve(93,a,169,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,170,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,171,a)].
% 1.08/1.33 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,172,a)].
% 1.08/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(93,a,173,a)].
% 1.08/1.33 Derived: -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,175,a)].
% 1.08/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,176,a)].
% 1.08/1.33 Derived: c_Polynomial_Opdivmod__rel(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_RealDef_Oreal). [resolve(93,a,177,a)].
% 1.08/1.33 Derived: c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal). [resolve(93,a,178,a)].
% 1.08/1.33 Derived: c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,179,a)].
% 1.08/1.33 Derived: c_Polynomial_Opoly__gcd(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,180,a)].
% 1.08/1.33 Derived: A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Polynomial_Opdivmod__rel(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,C,tc_RealDef_Oreal). [resolve(93,a,181,a)].
% 1.08/1.33 Derived: A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,C,A,tc_RealDef_Oreal). [resolve(93,a,182,a)].
% 1.08/1.33 Derived: A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,A,C,tc_RealDef_Oreal). [resolve(93,a,183,a)].
% 1.08/1.33 Derived: A = B | -c_Polynomial_Opdivmod__rel(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,A,tc_RealDef_Oreal). [resolve(93,a,185,a)].
% 1.08/1.33 Derived: c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(93,a,186,a)].
% 1.08/1.33 187 class_Divides_Oring__div(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ofield(A) # label(clsarity_Polynomial__Opoly__Divides_Oring__div) # label(axiom). [assumption].
% 1.08/1.33 Derived: class_Divides_Oring__div(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(187,b,93,a)].
% 1.08/1.33 188 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,27,a)].
% 1.08/1.33 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(188,a,93,a)].
% 1.08/1.33 189 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,28,a)].
% 1.08/1.33 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(189,a,93,a)].
% 1.08/1.33 190 -class_Ring__and__Field_Ofield(A) | B = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(86,a,29,a)].
% 1.08/1.33 Derived: A = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(190,a,93,a)].
% 1.08/1.33 191 -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B. [resolve(86,a,30,a)].
% 1.08/1.33 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = A. [resolve(191,a,93,a)].
% 1.08/1.33 192 -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = C. [resolve(86,a,31,a)].
% 1.08/1.33 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = B. [resolve(192,a,93,a)].
% 1.08/1.33 193 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)). [resolve(86,a,32,a)].
% 1.08/1.33 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(193,a,93,a)].
% 1.08/1.33 194 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,33,a)].
% 1.08/1.33 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(194,a,93,a)].
% 1.08/1.34 195 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,34,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(195,a,93,a)].
% 1.08/1.34 196 -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Odiv(D,E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(C,E,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(E,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,35,a)].
% 1.08/1.34 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(196,a,93,a)].
% 1.08/1.34 197 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = B | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,36,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = A | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(197,a,93,a)].
% 1.08/1.34 198 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = C | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,37,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = B | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(198,a,93,a)].
% 1.08/1.34 199 -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,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(86,a,38,a)].
% 1.08/1.34 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(199,a,93,a)].
% 1.08/1.34 200 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A)). [resolve(86,a,39,a)].
% 1.08/1.34 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(200,a,93,a)].
% 1.08/1.34 201 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,D,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,B,tc_Polynomial_Opoly(A)). [resolve(86,a,42,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(201,a,93,a)].
% 1.08/1.34 202 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,43,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(202,a,93,a)].
% 1.08/1.34 203 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(A)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,44,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(203,a,93,a)].
% 1.08/1.34 204 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,45,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(204,a,93,a)].
% 1.08/1.34 205 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,46,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(205,a,93,a)].
% 1.08/1.34 206 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(D,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Odiv(B,D,tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,47,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(206,a,93,a)].
% 1.08/1.34 207 -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(c_Divides_Odiv__class_Odiv(B,D,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,B,tc_Polynomial_Opoly(A)). [resolve(86,a,48,a)].
% 1.08/1.34 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(207,a,93,a)].
% 1.08/1.34 208 -class_Ring__and__Field_Ofield(A) | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Odiv(D,C,tc_Polynomial_Opoly(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(C,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,49,a)].
% 1.08/1.34 Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(208,a,93,a)].
% 1.08/1.34 209 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,50,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(209,a,93,a)].
% 1.08/1.34 210 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,51,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(210,a,93,a)].
% 1.08/1.34 211 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)). [resolve(86,a,52,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(211,a,93,a)].
% 1.08/1.34 212 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(B,B,tc_Polynomial_Opoly(A)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,53,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(A,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_RealDef_Oreal)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(212,a,93,a)].
% 1.08/1.34 213 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,54,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(213,a,93,a)].
% 1.08/1.34 214 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,55,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(214,a,93,a)].
% 1.08/1.34 215 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,56,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(215,a,93,a)].
% 1.08/1.34 216 -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,57,a)].
% 1.08/1.34 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(216,a,93,a)].
% 1.08/1.34 217 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,58,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(217,a,93,a)].
% 1.08/1.34 218 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,59,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(218,a,93,a)].
% 1.08/1.34 219 -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = C | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)). [resolve(86,a,60,a)].
% 1.08/1.34 Derived: c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = B | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(219,a,93,a)].
% 1.08/1.34 220 -class_Ring__and__Field_Ofield(A) | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = B | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,61,a)].
% 1.08/1.34 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = A | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(220,a,93,a)].
% 1.08/1.34 221 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)). [resolve(86,a,62,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(221,a,93,a)].
% 1.08/1.34 222 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)). [resolve(86,a,63,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(222,a,93,a)].
% 1.08/1.34 223 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(B,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B. [resolve(86,a,64,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = A. [resolve(223,a,93,a)].
% 1.08/1.34 224 -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(B,D,tc_Polynomial_Opoly(A)). [resolve(86,a,65,a)].
% 1.08/1.34 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_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(224,a,93,a)].
% 1.08/1.34 225 -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(C,D,tc_Polynomial_Opoly(A)). [resolve(86,a,66,a)].
% 1.08/1.34 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_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(225,a,93,a)].
% 1.08/1.34 226 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,67,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(226,a,93,a)].
% 1.08/1.34 227 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)). [resolve(86,a,68,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(227,a,93,a)].
% 1.08/1.34 228 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(B,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | D = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,69,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(228,a,93,a)].
% 1.08/1.34 229 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(D,c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,70,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(229,a,93,a)].
% 1.08/1.34 230 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)) != c_Divides_Odiv__class_Omod(D,C,tc_Polynomial_Opoly(A)) | c_Divides_Odiv__class_Omod(E,C,tc_Polynomial_Opoly(A)) != c_Divides_Odiv__class_Omod(F,C,tc_Polynomial_Opoly(A)) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(F,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,71,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(D,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(230,a,93,a)].
% 1.08/1.34 231 -class_Ring__and__Field_Ofield(A) | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Odiv(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)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A)). [resolve(86,a,72,a)].
% 1.08/1.34 Derived: c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(231,a,93,a)].
% 1.08/1.34 232 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)) != c_Divides_Odiv__class_Omod(D,C,tc_Polynomial_Opoly(A)) | c_Divides_Odiv__class_Omod(E,C,tc_Polynomial_Opoly(A)) != c_Divides_Odiv__class_Omod(F,C,tc_Polynomial_Opoly(A)) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(F,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,73,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(D,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(232,a,93,a)].
% 1.08/1.34 233 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,74,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(233,a,93,a)].
% 1.08/1.34 234 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(A)). [resolve(86,a,75,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(234,a,93,a)].
% 1.08/1.34 235 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,76,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(235,a,93,a)].
% 1.08/1.34 236 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,77,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(236,a,93,a)].
% 1.08/1.34 237 -class_Ring__and__Field_Ofield(A) | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B. [resolve(86,a,78,a)].
% 1.08/1.34 Derived: c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = A. [resolve(237,a,93,a)].
% 1.08/1.34 238 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(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_Otimes__class_Otimes(B,c_Divides_Odiv__class_Omod(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(86,a,79,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(238,a,93,a)].
% 1.08/1.34 239 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(D,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)). [resolve(86,a,80,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(239,a,93,a)].
% 1.08/1.34 240 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,81,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(A,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(240,a,93,a)].
% 1.08/1.34 241 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = B. [resolve(86,a,82,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = A. [resolve(241,a,93,a)].
% 1.08/1.34 242 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,83,a)].
% 1.08/1.34 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(242,a,93,a)].
% 1.08/1.34 243 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,84,a)].
% 1.08/1.35 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(243,a,93,a)].
% 1.08/1.35 244 -class_Ring__and__Field_Ofield(A) | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(86,a,85,a)].
% 1.08/1.35 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)),A,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(244,a,93,a)].
% 1.08/1.35 245 class_Int_Onumber__ring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Int_Onumber__ring) # label(axiom). [assumption].
% 1.08/1.35 246 -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].
% 1.08/1.35 247 -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].
% 1.08/1.35 248 -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].
% 1.08/1.35 249 -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].
% 1.08/1.35 250 -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].
% 1.08/1.35 251 -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].
% 1.08/1.35 252 -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].
% 1.08/1.35 253 -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].
% 1.08/1.35 254 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_class__ringb_Osubr0__iff_1) # label(axiom). [assumption].
% 1.08/1.35 255 -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].
% 1.08/1.35 256 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = C # label(cls_class__ringb_Osubr0__iff_0) # label(axiom). [assumption].
% 1.08/1.35 257 -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].
% 1.08/1.35 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),A,tc_RealDef_Oreal). [resolve(245,a,246,a)].
% 1.08/1.35 Derived: -class_Ring__and__Field_Oidom(tc_RealDef_Oreal) | c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,D,tc_RealDef_Oreal),tc_RealDef_Oreal) | C = D | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(245,a,247,b)].
% 1.08/1.35 Derived: -class_Ring__and__Field_Oidom(tc_RealDef_Oreal) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(245,a,248,b)].
% 1.08/1.35 Derived: c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(245,a,250,a)].
% 1.08/1.35 Derived: -class_Ring__and__Field_Oidom(tc_RealDef_Oreal) | c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(A,C,tc_RealDef_Oreal) | B = C. [resolve(245,a,251,b)].
% 1.08/1.35 Derived: -class_Ring__and__Field_Oidom(tc_RealDef_Oreal) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,D,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal) | B = D | A = C. [resolve(245,a,252,b)].
% 1.08/1.35 Derived: -class_Ring__and__Field_Oidom(tc_RealDef_Oreal) | c_HOL_Ominus__class_Ominus(A,A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(245,a,254,b)].
% 1.08/1.35 Derived: -class_Ring__and__Field_Oidom(tc_RealDef_Oreal) | A != c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(245,a,255,b)].
% 1.08/1.35 Derived: -class_Ring__and__Field_Oidom(tc_RealDef_Oreal) | c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = B. [resolve(245,a,256,b)].
% 1.08/1.35 Derived: -class_Ring__and__Field_Oidom(tc_RealDef_Oreal) | A = c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(245,a,257,b)].
% 1.08/1.35 258 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].
% 1.08/1.35 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(258,a,246,a)].
% 1.08/1.35 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(258,a,247,b)].
% 1.08/1.35 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(258,a,248,b)].
% 1.08/1.35 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(258,a,250,a)].
% 1.08/1.35 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(258,a,251,b)].
% 1.08/1.37 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(258,a,252,b)].
% 1.08/1.37 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(258,a,254,b)].
% 1.08/1.37 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(258,a,255,b)].
% 1.08/1.37 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(258,a,256,b)].
% 1.08/1.37 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(258,a,257,b)].
% 1.08/1.37 259 class_Divides_Oring__div(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(187,b,93,a)].
% 1.08/1.37 260 -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].
% 1.08/1.37 261 -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].
% 1.08/1.37 262 -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].
% 1.08/1.37 263 -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].
% 1.08/1.37 264 -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].
% 1.08/1.37 265 -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].
% 1.08/1.37 266 -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].
% 1.08/1.37 267 -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].
% 1.08/1.37 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(259,a,260,a)].
% 1.08/1.38 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(259,a,261,a)].
% 1.08/1.38 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(259,a,262,a)].
% 1.08/1.38 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(259,a,263,a)].
% 1.08/1.38 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(259,a,264,a)].
% 1.08/1.38 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),tc_Polynomial_Opoly(tc_RealDef_Oreal)),C,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(259,a,265,a)].
% 1.08/1.38 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(259,a,266,a)].
% 1.08/1.38 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(D,A,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(E,C,tc_Polynomial_Opoly(tc_RealDef_Oreal)),B,tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(259,a,267,a)].
% 1.08/1.38 268 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_OrderedGroup_Oab__semigroup__mult) # label(axiom). [assumption].
% 1.08/1.38 269 -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].
% 1.08/1.38 Derived: -class_Ring__and__Field_Ocomm__semiring__0(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). [resolve(268,b,269,a)].
% 1.14/1.39 270 class_OrderedGroup_Oab__semigroup__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Oab__semigroup__mult) # label(axiom). [assumption].
% 1.14/1.39 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_nat),C,tc_nat) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat). [resolve(270,a,269,a)].
% 1.14/1.39 271 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) # label(axiom). [assumption].
% 1.14/1.39 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(271,a,269,a)].
% 1.14/1.39 272 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].
% 1.14/1.39 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(272,a,269,a)].
% 1.14/1.39 273 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) # label(axiom). [assumption].
% 1.14/1.39 274 -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].
% 1.14/1.39 275 -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].
% 1.14/1.39 276 -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].
% 1.14/1.39 277 -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].
% 1.14/1.39 278 -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].
% 1.14/1.39 279 -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].
% 1.14/1.39 280 -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].
% 1.14/1.39 281 -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].
% 1.14/1.39 282 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A) = c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_mult_OscaleR__left_0) # label(axiom). [assumption].
% 1.14/1.39 283 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A) = c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_mult__left_OscaleR_0) # label(axiom). [assumption].
% 1.14/1.39 284 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A) = c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Otimes__class_Otimes(B,D,A),A) # label(cls_mult_OscaleR__right_0) # label(axiom). [assumption].
% 1.14/1.40 285 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A) = c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Otimes__class_Otimes(B,D,A),A) # label(cls_mult__right_OscaleR_0) # label(axiom). [assumption].
% 1.14/1.40 286 -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].
% 1.14/1.40 287 -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].
% 1.14/1.40 288 -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].
% 1.14/1.40 289 -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].
% 1.14/1.40 290 -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].
% 1.14/1.40 291 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__right_Ozero_0) # label(axiom). [assumption].
% 1.14/1.40 292 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult_Ozero__right_0) # label(axiom). [assumption].
% 1.14/1.40 293 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult_Ozero__left_0) # label(axiom). [assumption].
% 1.14/1.40 294 -class_RealVector_Oreal__normed__algebra(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__left_Ozero_0) # label(axiom). [assumption].
% 1.14/1.40 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oplus__class_Oplus(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,274,a)].
% 1.14/1.40 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,276,a)].
% 1.14/1.40 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,278,a)].
% 1.14/1.40 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,280,a)].
% 1.14/1.40 Derived: c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,282,a)].
% 1.14/1.42 Derived: c_HOL_Otimes__class_Otimes(A,c_RealVector_OscaleR__class_OscaleR(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,284,a)].
% 1.14/1.42 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,D,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,C,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(B,D,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,C,tc_RealDef_Oreal),D,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,c_HOL_Ominus__class_Ominus(B,D,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,286,a)].
% 1.14/1.42 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,287,a)].
% 1.14/1.42 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(273,a,289,a)].
% 1.14/1.42 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(273,a,291,a)].
% 1.14/1.42 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(273,a,293,a)].
% 1.14/1.42 295 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_Ring__and__Field_Ocomm__semiring) # label(axiom). [assumption].
% 1.14/1.42 296 -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].
% 1.14/1.42 Derived: -class_Ring__and__Field_Ocomm__semiring__0(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). [resolve(295,b,296,a)].
% 1.14/1.42 297 class_Ring__and__Field_Ocomm__semiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Ocomm__semiring) # label(axiom). [assumption].
% 1.14/1.42 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat). [resolve(297,a,296,a)].
% 1.14/1.42 298 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) # label(axiom). [assumption].
% 1.14/1.42 299 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].
% 1.14/1.42 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(299,a,296,a)].
% 1.14/1.42 300 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) # label(axiom). [assumption].
% 1.14/1.42 301 -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].
% 1.14/1.42 302 -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].
% 1.14/1.42 303 -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].
% 1.14/1.42 304 -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].
% 1.14/1.42 305 -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].
% 1.14/1.42 306 -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].
% 1.14/1.42 Derived: c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(300,a,301,a)].
% 1.14/1.42 Derived: c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal). [resolve(300,a,302,a)].
% 1.14/1.42 Derived: c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(300,a,303,a)].
% 1.14/1.42 Derived: c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal). [resolve(300,a,304,a)].
% 1.14/1.42 Derived: c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(B,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(300,a,305,a)].
% 1.14/1.42 Derived: c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(300,a,306,a)].
% 1.14/1.42 307 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].
% 1.14/1.42 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(307,a,301,a)].
% 1.14/1.42 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(307,a,302,a)].
% 1.14/1.42 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(307,a,303,a)].
% 1.14/1.42 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(307,a,304,a)].
% 1.14/1.42 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(307,a,305,a)].
% 1.14/1.42 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(307,a,306,a)].
% 1.14/1.45 308 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) # label(axiom). [assumption].
% 1.14/1.45 309 -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].
% 1.14/1.45 310 -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].
% 1.14/1.45 311 -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].
% 1.14/1.45 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(308,a,309,a)].
% 1.14/1.45 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(308,a,310,a)].
% 1.14/1.45 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(308,a,311,a)].
% 1.14/1.45 312 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].
% 1.14/1.45 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(312,a,309,a)].
% 1.14/1.45 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(312,a,310,a)].
% 1.14/1.45 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(312,a,311,a)].
% 1.14/1.45 313 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) # label(axiom). [assumption].
% 1.14/1.45 314 -class_OrderedGroup_Olordered__ab__group__add(A) | B = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A) # label(cls_prts_0) # label(axiom). [assumption].
% 1.14/1.45 315 -class_OrderedGroup_Olordered__ab__group__add(A) | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A) # label(cls_pprt__neg_0) # label(axiom). [assumption].
% 1.21/1.46 316 -class_OrderedGroup_Olordered__ab__group__add(A) | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),A) # label(cls_nprt__neg_0) # label(axiom). [assumption].
% 1.21/1.46 317 -class_OrderedGroup_Olordered__ab__group__add(A) | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_nprt__0_0) # label(axiom). [assumption].
% 1.21/1.46 318 -class_OrderedGroup_Olordered__ab__group__add(A) | c_HOL_Oplus__class_Oplus(B,B,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_double__eq__0__iff_0) # label(axiom). [assumption].
% 1.21/1.46 319 -class_OrderedGroup_Olordered__ab__group__add(A) | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_pprt__0_0) # label(axiom). [assumption].
% 1.21/1.46 320 -class_OrderedGroup_Olordered__ab__group__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_double__eq__0__iff_1) # label(axiom). [assumption].
% 1.21/1.46 Derived: A = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(A,tc_RealDef_Oreal),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(313,a,314,a)].
% 1.21/1.46 Derived: c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(313,a,315,a)].
% 1.21/1.46 Derived: c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(313,a,316,a)].
% 1.21/1.46 Derived: c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(313,a,317,a)].
% 1.21/1.46 Derived: c_HOL_Oplus__class_Oplus(A,A,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(313,a,318,a)].
% 1.21/1.46 Derived: c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(313,a,319,a)].
% 1.21/1.46 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(313,a,320,a)].
% 1.21/1.46 321 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) # label(axiom). [assumption].
% 1.21/1.46 322 -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].
% 1.21/1.46 323 -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].
% 1.21/1.46 324 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(B,C,A),A) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A) # label(cls_exp__diff_0) # label(axiom). [assumption].
% 1.21/1.46 325 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(B,C,A),A) # label(cls_mult__exp__exp_0) # label(axiom). [assumption].
% 1.21/1.46 326 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Oone__class_Oone(A) # label(cls_exp__zero_0) # label(axiom). [assumption].
% 1.21/1.46 327 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A) = c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oinverse__class_Odivide(C,D,A),A) # label(cls_divide_OscaleR_0) # label(axiom). [assumption].
% 1.21/1.46 328 -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].
% 1.21/1.46 329 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(B,C,A),A) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A) # label(cls_exp__add_0) # label(axiom). [assumption].
% 1.21/1.46 330 -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].
% 1.21/1.46 331 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(B,A),A) # label(cls_exp__minus_0) # label(axiom). [assumption].
% 1.21/1.46 332 -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].
% 1.21/1.46 333 -class_SEQ_Obanach(A) | -class_RealVector_Oreal__normed__field(A) | c_Transcendental_Oexp(B,A) != c_HOL_Ozero__class_Ozero(A) # label(cls_exp__not__eq__zero_0) # label(axiom). [assumption].
% 1.21/1.46 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(B,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(321,a,322,a)].
% 1.21/1.46 Derived: -class_SEQ_Obanach(tc_RealDef_Oreal) | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(A,tc_RealDef_Oreal),c_Transcendental_Oexp(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(321,a,324,b)].
% 1.21/1.46 Derived: -class_SEQ_Obanach(tc_RealDef_Oreal) | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(A,tc_RealDef_Oreal),c_Transcendental_Oexp(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(321,a,325,b)].
% 1.21/1.46 Derived: -class_SEQ_Obanach(tc_RealDef_Oreal) | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal). [resolve(321,a,326,b)].
% 1.21/1.46 Derived: c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Oinverse__class_Odivide(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(321,a,327,a)].
% 1.21/1.46 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(321,a,328,a)].
% 1.21/1.48 Derived: -class_SEQ_Obanach(tc_RealDef_Oreal) | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(A,tc_RealDef_Oreal),c_Transcendental_Oexp(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(321,a,329,b)].
% 1.21/1.48 Derived: -class_SEQ_Obanach(tc_RealDef_Oreal) | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(321,a,331,b)].
% 1.21/1.48 Derived: -class_SEQ_Obanach(tc_RealDef_Oreal) | c_Transcendental_Oexp(A,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(321,a,333,b)].
% 1.21/1.48 334 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) # label(axiom). [assumption].
% 1.21/1.48 335 -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].
% 1.21/1.48 336 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(B,A) != c_HOL_Ouminus__class_Ouminus(C,A) | B = C # label(cls_neg__equal__iff__equal_0) # label(axiom). [assumption].
% 1.21/1.48 337 -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].
% 1.21/1.48 338 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ouminus__class_Ouminus(B,A) # label(cls_group__add__class_Odiff__0_0) # label(axiom). [assumption].
% 1.21/1.48 339 -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].
% 1.21/1.48 340 -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].
% 1.21/1.48 341 -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].
% 1.21/1.48 342 -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].
% 1.21/1.48 343 -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].
% 1.21/1.48 344 -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].
% 1.21/1.48 345 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) = B # label(cls_minus__equation__iff_1) # label(axiom). [assumption].
% 1.21/1.48 346 -class_OrderedGroup_Ogroup__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_equation__minus__iff_1) # label(axiom). [assumption].
% 1.21/1.48 347 -class_OrderedGroup_Ogroup__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_equation__minus__iff_0) # label(axiom). [assumption].
% 1.21/1.48 348 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) = B # label(cls_minus__minus_0) # label(axiom). [assumption].
% 1.21/1.48 349 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_minus__zero_0) # label(axiom). [assumption].
% 1.21/1.48 350 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ozero__class_Ozero(A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A) # label(cls_neg__0__equal__iff__equal_1) # label(axiom). [assumption].
% 1.21/1.48 351 -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].
% 1.21/1.48 352 -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].
% 1.21/1.48 353 -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].
% 1.21/1.48 354 -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].
% 1.21/1.48 355 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(B,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_neg__equal__0__iff__equal_0) # label(axiom). [assumption].
% 1.21/1.48 356 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_right__minus__eq_1) # label(axiom). [assumption].
% 1.21/1.48 357 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A) = B # label(cls_diff__0__right_0) # label(axiom). [assumption].
% 1.21/1.48 358 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_diff__self_0) # label(axiom). [assumption].
% 1.21/1.48 359 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ozero__class_Ozero(A) != c_HOL_Ouminus__class_Ouminus(B,A) | c_HOL_Ozero__class_Ozero(A) = B # label(cls_neg__0__equal__iff__equal_0) # label(axiom). [assumption].
% 1.21/1.48 360 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = C # label(cls_right__minus__eq_0) # label(axiom). [assumption].
% 1.21/1.48 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal),tc_RealDef_Oreal) = B. [resolve(334,a,335,a)].
% 1.21/1.48 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal) | A = B. [resolve(334,a,336,a)].
% 1.21/1.48 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = A. [resolve(334,a,337,a)].
% 1.21/1.48 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal). [resolve(334,a,338,a)].
% 1.21/1.48 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(334,a,340,a)].
% 1.21/1.48 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(334,a,341,a)].
% 1.21/1.48 Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal). [resolve(334,a,343,a)].
% 1.21/1.48 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = A. [resolve(334,a,344,a)].
% 1.21/1.48 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(334,a,345,a)].
% 1.21/1.48 Derived: A = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(334,a,346,a)].
% 1.21/1.48 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(334,a,349,a)].
% 1.21/1.48 Derived: c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(334,a,350,a)].
% 1.21/1.48 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) = B. [resolve(334,a,351,a)].
% 1.21/1.48 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal). [resolve(334,a,352,a)].
% 1.21/1.48 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = B. [resolve(334,a,353,a)].
% 1.21/1.48 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(334,a,354,a)].
% 1.21/1.48 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(334,a,355,a)].
% 1.21/1.48 Derived: c_HOL_Ominus__class_Ominus(A,A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(334,a,356,a)].
% 1.21/1.48 Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(334,a,357,a)].
% 1.21/1.48 Derived: c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) | c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = A. [resolve(334,a,359,a)].
% 1.21/1.48 Derived: c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = B. [resolve(334,a,360,a)].
% 1.21/1.48 361 class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Oab__group__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add) # label(axiom). [assumption].
% 1.21/1.48 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(361,a,335,a)].
% 1.21/1.48 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(361,a,336,a)].
% 1.21/1.48 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(361,a,337,a)].
% 1.21/1.48 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(361,a,338,a)].
% 1.21/1.48 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(361,a,339,a)].
% 1.21/1.48 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(361,a,340,a)].
% 1.21/1.48 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(361,a,341,a)].
% 1.21/1.48 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(361,a,343,a)].
% 1.21/1.48 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(361,a,344,a)].
% 1.21/1.48 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(361,a,345,a)].
% 1.21/1.48 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(361,a,346,a)].
% 1.21/1.48 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(361,a,349,a)].
% 1.21/1.49 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(361,a,350,a)].
% 1.21/1.49 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(361,a,351,a)].
% 1.21/1.49 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(361,a,352,a)].
% 1.21/1.49 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(361,a,353,a)].
% 1.21/1.49 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(361,a,354,a)].
% 1.21/1.49 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(361,a,355,a)].
% 1.21/1.49 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(361,a,356,a)].
% 1.21/1.49 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(361,a,357,a)].
% 1.21/1.49 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(361,a,359,a)].
% 1.21/1.49 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(361,a,360,a)].
% 1.21/1.49 362 class_Ring__and__Field_Oring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oring) # label(axiom). [assumption].
% 1.21/1.49 363 -class_Ring__and__Field_Oring(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_minus__mult__right_0) # label(axiom). [assumption].
% 1.21/1.49 364 -class_Ring__and__Field_Oring(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A) # label(cls_minus__mult__left_0) # label(axiom). [assumption].
% 1.21/1.49 365 -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].
% 1.21/1.49 366 -class_Ring__and__Field_Oring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Otimes__class_Otimes(B,C,A) # label(cls_minus__mult__minus_0) # label(axiom). [assumption].
% 1.21/1.49 367 -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].
% 1.21/1.49 368 -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].
% 1.21/1.50 369 -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].
% 1.21/1.50 370 -class_Ring__and__Field_Oring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_minus__mult__commute_0) # label(axiom). [assumption].
% 1.21/1.50 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(362,a,363,a)].
% 1.21/1.50 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal). [resolve(362,a,364,a)].
% 1.21/1.50 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(C,A,tc_RealDef_Oreal),B,tc_RealDef_Oreal),D,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),D,tc_RealDef_Oreal). [resolve(362,a,365,a)].
% 1.21/1.50 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal). [resolve(362,a,366,a)].
% 1.21/1.50 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,D,tc_RealDef_Oreal),B,tc_RealDef_Oreal),C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(362,a,367,a)].
% 1.21/1.50 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_RealDef_Oreal),E,tc_RealDef_Oreal) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,D,tc_RealDef_Oreal),B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = E. [resolve(362,a,368,a)].
% 1.21/1.50 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_RealDef_Oreal),E,tc_RealDef_Oreal) | C = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,A,tc_RealDef_Oreal),B,tc_RealDef_Oreal),E,tc_RealDef_Oreal). [resolve(362,a,369,a)].
% 1.21/1.50 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(362,a,370,a)].
% 1.21/1.50 371 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].
% 1.21/1.50 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(371,a,363,a)].
% 1.21/1.50 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(371,a,364,a)].
% 1.21/1.50 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(371,a,365,a)].
% 1.25/1.51 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(371,a,366,a)].
% 1.25/1.51 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(371,a,367,a)].
% 1.25/1.51 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(371,a,368,a)].
% 1.25/1.51 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(371,a,369,a)].
% 1.25/1.51 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(371,a,370,a)].
% 1.25/1.51 372 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) # label(axiom). [assumption].
% 1.25/1.51 373 -class_RealVector_Oreal__normed__vector(A) | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(B,A),A) # label(cls_sgn__minus_0) # label(axiom). [assumption].
% 1.25/1.51 374 -class_RealVector_Oreal__normed__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ominus__class_Ominus(C,D,A),A) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A) # label(cls_scaleR_Odiff__right_0) # label(axiom). [assumption].
% 1.25/1.51 375 -class_RealVector_Oreal__normed__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A) # label(cls_scaleR_Ominus__right_0) # label(axiom). [assumption].
% 1.25/1.51 376 -class_RealVector_Oreal__normed__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oplus__class_Oplus(C,D,A),A) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A) # label(cls_scaleR_Oadd__right_0) # label(axiom). [assumption].
% 1.25/1.51 377 -class_RealVector_Oreal__normed__vector(A) | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_sgn__zero_0) # label(axiom). [assumption].
% 1.25/1.51 378 -class_RealVector_Oreal__normed__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A) = c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A) # label(cls_scaleR_OscaleR__right_0) # label(axiom). [assumption].
% 1.25/1.51 379 -class_RealVector_Oreal__normed__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A) = c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A) # label(cls_scaleR__right_OscaleR_0) # label(axiom). [assumption].
% 1.25/1.52 380 -class_RealVector_Oreal__normed__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_scaleR_Ozero__right_0) # label(axiom). [assumption].
% 1.25/1.52 381 -class_RealVector_Oreal__normed__vector(A) | c_HOL_Osgn__class_Osgn(B,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_sgn__zero__iff_0) # label(axiom). [assumption].
% 1.25/1.52 Derived: c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(372,a,373,a)].
% 1.25/1.52 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(A,B,tc_RealDef_Oreal),c_RealVector_OscaleR__class_OscaleR(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(372,a,374,a)].
% 1.25/1.52 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(372,a,375,a)].
% 1.25/1.52 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Oplus__class_Oplus(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(A,B,tc_RealDef_Oreal),c_RealVector_OscaleR__class_OscaleR(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(372,a,376,a)].
% 1.25/1.52 Derived: c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(372,a,377,a)].
% 1.25/1.52 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_RealVector_OscaleR__class_OscaleR(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(372,a,378,a)].
% 1.25/1.52 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(372,a,380,a)].
% 1.25/1.52 Derived: c_HOL_Osgn__class_Osgn(A,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(372,a,381,a)].
% 1.25/1.52 382 class_RealVector_Oreal__vector(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__vector) # label(axiom). [assumption].
% 1.25/1.52 383 -class_RealVector_Oreal__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ominus__class_Ominus(C,D,A),A) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A) # label(cls_scaleR__right_Odiff_0) # label(axiom). [assumption].
% 1.25/1.52 384 -class_RealVector_Oreal__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A) # label(cls_scaleR__minus__right_0) # label(axiom). [assumption].
% 1.25/1.52 385 -class_RealVector_Oreal__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oplus__class_Oplus(C,D,A),A) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A) # label(cls_scaleR__right_Oadd_0) # label(axiom). [assumption].
% 1.25/1.52 386 -class_RealVector_Oreal__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,C,A) != c_RealVector_OscaleR__class_OscaleR(D,C,A) | C = c_HOL_Ozero__class_Ozero(A) | B = D # label(cls_scaleR__cancel__right_0) # label(axiom). [assumption].
% 1.25/1.52 387 -class_RealVector_Oreal__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A) = c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Ozero__class_Ozero(A),A) # label(cls_scaleR__cancel__right_1) # label(axiom). [assumption].
% 1.25/1.52 388 -class_RealVector_Oreal__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A) = c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A) # label(cls_scaleR__left__commute_0) # label(axiom). [assumption].
% 1.25/1.52 389 -class_RealVector_Oreal__vector(A) | c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_scaleR__eq__0__iff_2) # label(axiom). [assumption].
% 1.28/1.56 Derived: c_RealVector_OscaleR__class_OscaleR(A,B,tc_RealDef_Oreal) != c_RealVector_OscaleR__class_OscaleR(C,B,tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = C. [resolve(382,a,386,a)].
% 1.28/1.56 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(382,a,387,a)].
% 1.28/1.56 390 class_OrderedGroup_Omonoid__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Omonoid__mult) # label(axiom). [assumption].
% 1.28/1.56 391 -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].
% 1.28/1.56 392 -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].
% 1.28/1.56 393 -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].
% 1.28/1.56 394 -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].
% 1.28/1.56 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = A. [resolve(390,a,391,a)].
% 1.28/1.56 Derived: c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat) = c_HOL_Oone__class_Oone(tc_nat). [resolve(390,a,393,a)].
% 1.28/1.56 Derived: c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,B,tc_nat),A,tc_nat) = c_HOL_Otimes__class_Otimes(A,c_Power_Opower__class_Opower(A,B,tc_nat),tc_nat). [resolve(390,a,394,a)].
% 1.28/1.56 395 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) # label(axiom). [assumption].
% 1.28/1.56 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(395,a,391,a)].
% 1.28/1.56 Derived: c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal). [resolve(395,a,393,a)].
% 1.28/1.56 Derived: c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,B,tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(A,c_Power_Opower__class_Opower(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(395,a,394,a)].
% 1.28/1.56 396 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].
% 1.28/1.56 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(396,a,391,a)].
% 1.28/1.56 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(396,a,393,a)].
% 1.28/1.56 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(396,a,394,a)].
% 1.28/1.56 397 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs) # label(axiom). [assumption].
% 1.28/1.56 398 -class_OrderedGroup_Olordered__ab__group__add__abs(A) | c_HOL_Oabs__class_Oabs(B,A) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A) # label(cls_abs__prts_0) # label(axiom). [assumption].
% 1.28/1.56 Derived: c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(A,tc_RealDef_Oreal),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(397,a,398,a)].
% 1.28/1.61 399 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom). [assumption].
% 1.28/1.61 400 -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].
% 1.28/1.61 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_nat) != c_HOL_Oplus__class_Oplus(A,C,tc_nat) | B = C. [resolve(399,a,400,a)].
% 1.28/1.61 401 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom). [assumption].
% 1.28/1.61 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(A,C,tc_RealDef_Oreal) | B = C. [resolve(401,a,400,a)].
% 1.28/1.61 402 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].
% 1.28/1.61 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(402,a,400,a)].
% 1.28/1.61 403 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocancel__semigroup__add) # label(axiom). [assumption].
% 1.28/1.61 404 -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].
% 1.28/1.61 405 -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].
% 1.28/1.61 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_nat) != c_HOL_Oplus__class_Oplus(C,B,tc_nat) | A = C. [resolve(403,a,405,a)].
% 1.28/1.61 406 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) # label(axiom). [assumption].
% 1.28/1.61 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(C,B,tc_RealDef_Oreal) | A = C. [resolve(406,a,405,a)].
% 1.28/1.61 407 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].
% 1.28/1.61 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(407,a,405,a)].
% 1.28/1.61 408 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__algebra) # label(axiom). [assumption].
% 1.28/1.61 409 -class_RealVector_Oreal__algebra(A) | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A) = c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A) # label(cls_mult__scaleR__left_0) # label(axiom). [assumption].
% 1.28/1.61 410 -class_RealVector_Oreal__algebra(A) | c_HOL_Otimes__class_Otimes(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A) = c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Otimes__class_Otimes(B,D,A),A) # label(cls_mult__scaleR__right_0) # label(axiom). [assumption].
% 1.28/1.61 411 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) # label(axiom). [assumption].
% 1.28/1.61 412 -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].
% 1.28/1.61 413 -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].
% 1.38/1.64 414 -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].
% 1.38/1.64 415 -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].
% 1.38/1.64 Derived: c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(411,a,412,a)].
% 1.38/1.64 Derived: c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(B,tc_RealDef_Oreal),tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(411,a,413,a)].
% 1.38/1.64 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(411,a,414,a)].
% 1.38/1.64 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(411,a,415,a)].
% 1.38/1.64 416 class_RealVector_Oreal__field(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__field) # label(axiom). [assumption].
% 1.38/1.64 417 -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].
% 1.38/1.64 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,D,tc_RealDef_Oreal),tc_RealDef_Oreal),E,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,tc_RealDef_Oreal),E,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,C,tc_RealDef_Oreal),E,tc_RealDef_Oreal),D,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(416,a,417,a)].
% 1.38/1.64 418 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_OrderedGroup_Oab__semigroup__add) # label(axiom). [assumption].
% 1.38/1.64 419 -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].
% 1.38/1.64 Derived: -class_Ring__and__Field_Ocomm__semiring__0(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). [resolve(418,b,419,a)].
% 1.38/1.64 420 class_OrderedGroup_Oab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Oab__semigroup__add) # label(axiom). [assumption].
% 1.38/1.64 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat) = c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat). [resolve(420,a,419,a)].
% 1.38/1.64 421 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) # label(axiom). [assumption].
% 1.38/1.67 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(421,a,419,a)].
% 1.38/1.67 422 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].
% 1.38/1.67 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(422,a,419,a)].
% 1.38/1.67 423 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_Ring__and__Field_Osemiring) # label(axiom). [assumption].
% 1.38/1.67 424 -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].
% 1.38/1.67 Derived: -class_Ring__and__Field_Ocomm__semiring__0(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). [resolve(423,b,424,a)].
% 1.38/1.67 425 class_Ring__and__Field_Osemiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Osemiring) # label(axiom). [assumption].
% 1.38/1.67 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_nat),D,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat),D,tc_nat). [resolve(425,a,424,a)].
% 1.38/1.67 426 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) # label(axiom). [assumption].
% 1.38/1.67 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),D,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,C,tc_RealDef_Oreal),B,tc_RealDef_Oreal),D,tc_RealDef_Oreal). [resolve(426,a,424,a)].
% 1.38/1.67 427 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].
% 1.38/1.67 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(427,a,424,a)].
% 1.38/1.67 428 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) # label(axiom). [assumption].
% 1.38/1.67 429 -class_RealVector_Oreal__normed__algebra__1(A) | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(A),A) = c_HOL_Oone__class_Oone(A) # label(cls_sgn__one_0) # label(axiom). [assumption].
% 1.38/1.67 Derived: c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal). [resolve(428,a,429,a)].
% 1.38/1.67 430 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) # label(axiom). [assumption].
% 1.38/1.67 431 -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].
% 1.44/1.70 432 -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].
% 1.44/1.70 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) != A | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(430,a,432,a)].
% 1.44/1.70 433 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].
% 1.44/1.70 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(433,a,431,a)].
% 1.44/1.70 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(433,a,432,a)].
% 1.44/1.70 434 class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if) # label(axiom). [assumption].
% 1.44/1.70 435 -class_Ring__and__Field_Osgn__if(A) | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_sgn0_0) # label(axiom). [assumption].
% 1.44/1.70 436 class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oordered__idom(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Osgn__if) # label(axiom). [assumption].
% 1.44/1.70 Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(436,a,435,a)].
% 1.44/1.70 437 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) # label(axiom). [assumption].
% 1.44/1.70 438 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_2) # label(axiom). [assumption].
% 1.44/1.70 439 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_1) # label(axiom). [assumption].
% 1.44/1.70 440 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(B,C,A) != c_HOL_Ozero__class_Ozero(A) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_0) # label(axiom). [assumption].
% 1.44/1.70 Derived: c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | B = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(437,a,440,a)].
% 1.44/1.70 441 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].
% 1.44/1.70 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(441,a,438,a)].
% 1.44/1.70 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(441,a,439,a)].
% 1.44/1.70 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(441,a,440,a)].
% 1.44/1.70 442 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Omult__zero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_Ring__and__Field_Omult__zero) # label(axiom). [assumption].
% 1.44/1.70 443 -class_Ring__and__Field_Omult__zero(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__zero__right_0) # label(axiom). [assumption].
% 1.44/1.71 444 -class_Ring__and__Field_Omult__zero(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__zero__left_0) # label(axiom). [assumption].
% 1.44/1.71 445 -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].
% 1.44/1.71 Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A). [resolve(442,b,443,a)].
% 1.44/1.71 Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A). [resolve(442,b,444,a)].
% 1.44/1.71 Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | -class_Ring__and__Field_Ozero__neq__one(A) | -class_Ring__and__Field_Ono__zero__divisors(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). [resolve(442,b,445,c)].
% 1.44/1.71 446 class_Ring__and__Field_Omult__zero(tc_nat) # label(clsarity_nat__Ring__and__Field_Omult__zero) # label(axiom). [assumption].
% 1.44/1.71 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(446,a,443,a)].
% 1.44/1.71 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(446,a,444,a)].
% 1.44/1.71 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Power_Opower(tc_nat) | c_Power_Opower__class_Opower(A,B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(446,a,445,c)].
% 1.44/1.71 447 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) # label(axiom). [assumption].
% 1.44/1.71 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) | -class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) | -class_Power_Opower(tc_RealDef_Oreal) | c_Power_Opower__class_Opower(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(447,a,445,c)].
% 1.44/1.71 448 class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero) # label(axiom). [assumption].
% 1.44/1.71 Derived: -class_Ring__and__Field_Ocomm__semiring__0(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(448,a,443,a)].
% 1.44/1.71 Derived: -class_Ring__and__Field_Ocomm__semiring__0(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(448,a,444,a)].
% 1.44/1.71 Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | -class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ono__zero__divisors(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(448,a,445,c)].
% 1.44/1.71 449 class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1) # label(axiom). [assumption].
% 1.44/1.71 450 -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].
% 1.44/1.74 Derived: c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),B,tc_RealDef_Oreal),c_Power_Opower__class_Opower(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(449,a,450,a)].
% 1.44/1.74 451 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].
% 1.44/1.74 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(451,a,450,a)].
% 1.44/1.74 452 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) # label(axiom). [assumption].
% 1.44/1.74 453 -class_RealVector_Oreal__normed__div__algebra(A) | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A) # label(cls_sgn__mult_0) # label(axiom). [assumption].
% 1.44/1.74 Derived: c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(A,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(452,a,453,a)].
% 1.44/1.74 454 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors) # label(axiom). [assumption].
% 1.44/1.74 455 -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].
% 1.44/1.74 Derived: c_Power_Opower__class_Opower(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(454,a,455,a)].
% 1.44/1.74 456 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].
% 1.44/1.74 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(456,a,455,a)].
% 1.44/1.74 457 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Omonoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 1.44/1.74 458 -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].
% 1.44/1.74 459 -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].
% 1.44/1.74 Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A) = B. [resolve(457,b,458,a)].
% 1.44/1.74 Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A) = B. [resolve(457,b,459,a)].
% 1.44/1.74 460 class_OrderedGroup_Omonoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 1.44/1.74 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = A. [resolve(460,a,458,a)].
% 1.44/1.74 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = A. [resolve(460,a,459,a)].
% 1.44/1.74 461 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 3.56/3.82 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(461,a,458,a)].
% 3.56/3.82 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = A. [resolve(461,a,459,a)].
% 3.56/3.82 462 class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Ocomm__monoid__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 3.56/3.82 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(462,a,458,a)].
% 3.56/3.82 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(462,a,459,a)].
% 3.56/3.82
% 3.56/3.82 ============================== end predicate elimination =============
% 3.56/3.82
% 3.56/3.82 Auto_denials: (non-Horn, no changes).
% 3.56/3.82
% 3.56/3.82 Term ordering decisions:
% 3.56/3.82 Function symbol KB weights: tc_RealDef_Oreal=1. tc_nat=1. t_a=1. v_p=1. v_h=1. c_HOL_Ouminus__class_Ouminus=1. c_HOL_Oinverse__class_Oinverse=1. c_HOL_Oabs__class_Oabs=1. c_HOL_Osgn__class_Osgn=1. c_Polynomial_Odegree=1. c_Transcendental_Oexp=1. c_OrderedGroup_Olordered__ab__group__add__class_Onprt=1. c_OrderedGroup_Olordered__ab__group__add__class_Opprt=1. tc_prod=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_Ominus__class_Ominus=1. c_Divides_Odiv__class_Odiv=1. c_HOL_Oinverse__class_Odivide=1. c_Polynomial_OpCons=1. c_Polynomial_Osmult=1. c_Power_Opower__class_Opower=1. c_Polynomial_Opoly=1. c_Polynomial_Opoly__gcd=1. c_Polynomial_Ocoeff=1. c_RealVector_OscaleR__class_OscaleR=1. c_Polynomial_Omonom=1. c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly=1. c_Polynomial_Osynthetic__div=1. c_Polynomial_Opcompose=1. c_Polynomial_Osynthetic__divmod=1. c_Pair=1.
% 3.56/3.82
% 3.56/3.82 ============================== end of process initial clauses ========
% 3.56/3.82
% 3.56/3.82 ============================== CLAUSES FOR SEARCH ====================
% 3.56/3.82
% 3.56/3.82 ============================== end of clauses for search =============
% 3.56/3.82
% 3.56/3.82 ============================== SEARCH ================================
% 3.56/3.82
% 3.56/3.82 % Starting search at 0.64 seconds.
% 3.56/3.82
% 3.56/3.82 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 37 (0.00 of 0.79 sec).
% 3.56/3.82
% 3.56/3.82 Low Water (keep): wt=56.000, iters=3420
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% 3.56/3.82 Low Water (keep): wt=49.000, iters=3381
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% 3.56/3.82 Low Water (keep): wt=48.000, iters=3381
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% 3.56/3.82 Low Water (keep): wt=43.000, iters=3336
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% 3.56/3.82 Low Water (keep): wt=41.000, iters=3354
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% 3.56/3.82 Low Water (keep): wt=39.000, iters=3340
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% 3.56/3.82 Low Water (keep): wt=38.000, iters=3381
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% 3.56/3.82 Low Water (keep): wt=36.000, iters=3389
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% 3.56/3.82 Low Water (keep): wt=34.000, iters=3364
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% 3.56/3.82 Low Water (keep): wt=33.000, iters=3359
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% 3.56/3.82 Low Water (keep): wt=32.000, iters=3369
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% 3.56/3.82 Low Water (keep): wt=31.000, iters=3453
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% 3.56/3.82 Low Water (keep): wt=30.000, iters=3390
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% 3.56/3.82 Low Water (keep): wt=29.000, iters=3375
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% 3.56/3.82 Low Water (keep): wt=28.000, iters=3333
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% 3.56/3.82 Low Water (keep): wt=27.000, iters=3333
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% 3.56/3.82 Low Water (keep): wt=26.000, iters=3430
% 3.56/3.82
% 3.56/3.82 Low Water (keep): wt=25.000, iters=3342
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% 3.56/3.82 Low Water (keep): wt=24.000, iters=3363
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% 3.56/3.82 Low Water (keep): wt=23.000, iters=3361
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% 3.56/3.82 Low Water (keep): wt=22.000, iters=3342
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% 3.56/3.82 Low Water (keep): wt=21.000, iters=3345
% 3.56/3.82
% 3.56/3.82 Low Water (keep): wt=20.000, iters=3335
% 3.56/3.82
% 3.56/3.82 Low Water (keep): wt=19.000, iters=3354
% 3.56/3.82
% 3.56/3.82 Low Water (keep): wt=18.000, iters=3346
% 3.56/3.82
% 3.56/3.82 Low Water (keep): wt=17.000, iters=3343
% 3.56/3.82
% 3.56/3.82 Low Water (displace): id=5250, wt=77.000
% 3.56/3.82
% 3.56/3.82 Low Water (displace): id=3276, wt=69.000
% 3.56/3.82
% 3.56/3.82 Low Water (displace): id=11743, wt=49.000
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% 3.56/3.82 Low Water (displace): id=12646, wt=46.000
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% 3.56/3.82 Low Water (displace): id=12222, wt=44.000
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% 3.56/3.82 Low Water (displace): id=11533, wt=41.000
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% 3.56/3.82 Low Water (displace): id=11544, wt=39.000
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% 3.56/3.82 Low Water (displace): id=13164, wt=37.000
% 3.56/3.82
% 3.56/3.82 Low Water (displace): id=12837, wt=35.000
% 3.56/3.82
% 3.56/3.82 Low Water (displace): id=12643, wt=34.000
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% 3.56/3.82 Low Water (displace): id=13088, wt=33.000
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% 3.56/3.82 Low Water (displace): id=13734, wt=32.000
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% 3.56/3.82 Low Water (displace): id=13678, wt=31.000
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% 3.56/3.82 Low Water (displace): id=13471, wt=30.000
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% 3.56/3.82 Low Water (displace): id=14537, wt=29.000
% 3.56/3.82
% 3.56/3.82 LowCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------