TSTP Solution File: ALG420-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG420-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 17:54:48 EDT 2022
% Result : Timeout 300.09s 300.36s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG420-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 14:36:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.82/1.14 ============================== Prover9 ===============================
% 0.82/1.14 Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.14 Process 9606 was started by sandbox on n018.cluster.edu,
% 0.82/1.14 Wed Jun 8 14:36:38 2022
% 0.82/1.14 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9451_n018.cluster.edu".
% 0.82/1.14 ============================== end of head ===========================
% 0.82/1.14
% 0.82/1.14 ============================== INPUT =================================
% 0.82/1.14
% 0.82/1.14 % Reading from file /tmp/Prover9_9451_n018.cluster.edu
% 0.82/1.14
% 0.82/1.14 set(prolog_style_variables).
% 0.82/1.14 set(auto2).
% 0.82/1.14 % set(auto2) -> set(auto).
% 0.82/1.14 % set(auto) -> set(auto_inference).
% 0.82/1.14 % set(auto) -> set(auto_setup).
% 0.82/1.14 % set(auto_setup) -> set(predicate_elim).
% 0.82/1.14 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.14 % set(auto) -> set(auto_limits).
% 0.82/1.14 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.14 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.14 % set(auto) -> set(auto_denials).
% 0.82/1.14 % set(auto) -> set(auto_process).
% 0.82/1.14 % set(auto2) -> assign(new_constants, 1).
% 0.82/1.14 % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.14 % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.14 % set(auto2) -> assign(max_hours, 1).
% 0.82/1.14 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.14 % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.14 % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.14 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.14 % set(auto2) -> set(sort_initial_sos).
% 0.82/1.14 % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.14 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.14 % set(auto2) -> assign(max_megs, 400).
% 0.82/1.14 % set(auto2) -> assign(stats, some).
% 0.82/1.14 % set(auto2) -> clear(echo_input).
% 0.82/1.14 % set(auto2) -> set(quiet).
% 0.82/1.14 % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.14 % set(auto2) -> clear(print_given).
% 0.82/1.14 assign(lrs_ticks,-1).
% 0.82/1.14 assign(sos_limit,10000).
% 0.82/1.14 assign(order,kbo).
% 0.82/1.14 set(lex_order_vars).
% 0.82/1.14 clear(print_given).
% 0.82/1.14
% 0.82/1.14 % formulas(sos). % not echoed (585 formulas)
% 0.82/1.14
% 0.82/1.14 ============================== end of input ==========================
% 0.82/1.14
% 0.82/1.14 % From the command line: assign(max_seconds, 300).
% 0.82/1.14
% 0.82/1.14 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.14
% 0.82/1.14 % Formulas that are not ordinary clauses:
% 0.82/1.14
% 0.82/1.14 ============================== end of process non-clausal formulas ===
% 0.82/1.14
% 0.82/1.14 ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.14
% 0.82/1.14 ============================== PREDICATE ELIMINATION =================
% 0.82/1.14 1 class_Power_Opower(tc_nat) # label(clsarity_nat__Power_Opower) # label(axiom). [assumption].
% 0.82/1.14 2 -class_Power_Opower(A) | c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),A) = c_HOL_Oone__class_Oone(A) # label(cls_power__0_0) # label(axiom). [assumption].
% 0.82/1.14 3 -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(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(tc_nat) # label(cls_power__eq__0__iff_2) # label(axiom). [assumption].
% 0.82/1.14 4 -class_Ring__and__Field_Osemiring__0(A) | -class_Power_Opower(A) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(tc_nat) # label(cls_power__0__left_1) # label(axiom). [assumption].
% 0.82/1.14 5 -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_HOL_Ozero__class_Ozero(tc_nat),A) != c_HOL_Ozero__class_Ozero(A) # label(cls_power__eq__0__iff_1) # label(axiom). [assumption].
% 0.82/1.14 6 -class_Ring__and__Field_Osemiring__0(A) | -class_Power_Opower(A) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A) = c_HOL_Oone__class_Oone(A) # label(cls_power__0__left_0) # label(axiom). [assumption].
% 0.82/1.14 7 -class_Ring__and__Field_Ozero__neq__one(A) | -class_Ring__and__Field_Ono__zero__divisors(A) | -class_Ring__and__Field_Omult__zero(A) | -class_Power_Opower(A) | c_Power_Opower__class_Opower(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_power__eq__0__iff_0) # label(axiom). [assumption].
% 0.82/1.14 Derived: c_Power_Opower__class_Opower(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat). [resolve(1,a,2,a)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(1,a,3,d)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Osemiring__0(tc_nat) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(1,a,4,b)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | c_Power_Opower__class_Opower(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat). [resolve(1,a,5,d)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_nat) | -class_Ring__and__Field_Ono__zero__divisors(tc_nat) | -class_Ring__and__Field_Omult__zero(tc_nat) | c_Power_Opower__class_Opower(A,B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(1,a,7,d)].
% 0.82/1.14 8 class_Power_Opower(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Power_Opower) # label(axiom). [assumption].
% 0.82/1.14 Derived: c_Power_Opower__class_Opower(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal). [resolve(8,a,2,a)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) | -class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) | -class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(8,a,3,d)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(8,a,4,b)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) | -class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) | -class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) | c_Power_Opower__class_Opower(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(8,a,5,d)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) | -class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) | -class_Ring__and__Field_Omult__zero(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(8,a,7,d)].
% 0.82/1.14 9 class_Power_Opower(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Power_Opower) # label(axiom). [assumption].
% 0.82/1.14 Derived: c_Power_Opower__class_Opower(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex). [resolve(9,a,2,a)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(9,a,3,d)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(9,a,4,b)].
% 0.82/1.14 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | c_Power_Opower__class_Opower(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(9,a,5,d)].
% 0.86/1.15 Derived: -class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) | -class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) | -class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) | c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(9,a,7,d)].
% 0.86/1.15 10 class_Power_Opower(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsarity_Polynomial__Opoly__Power_Opower) # label(axiom). [assumption].
% 0.86/1.15 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(A)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)). [resolve(10,a,2,a)].
% 0.86/1.15 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(A)) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(10,a,3,d)].
% 0.86/1.15 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(A)) | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | B = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(10,a,4,b)].
% 0.86/1.15 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(A)) | c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(10,a,5,d)].
% 0.86/1.15 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Omult__zero(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(10,a,7,d)].
% 0.86/1.15 11 class_Divides_Osemiring__div(tc_nat) # label(clsarity_nat__Divides_Osemiring__div) # label(axiom). [assumption].
% 0.86/1.15 12 -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].
% 0.86/1.15 13 -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].
% 0.86/1.15 14 -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].
% 0.86/1.15 15 -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].
% 0.86/1.15 16 -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].
% 0.86/1.15 17 -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].
% 0.86/1.15 18 -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].
% 0.86/1.15 19 -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].
% 0.86/1.15 20 -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].
% 0.86/1.15 21 -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].
% 0.86/1.15 22 -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].
% 0.86/1.15 23 -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].
% 0.86/1.15 24 -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].
% 0.86/1.15 25 -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].
% 0.86/1.15 26 -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].
% 0.86/1.15 27 -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].
% 0.86/1.15 28 -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].
% 0.86/1.15 29 -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].
% 0.86/1.15 30 -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].
% 0.86/1.15 31 -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].
% 0.86/1.15 32 -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].
% 0.86/1.15 33 -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].
% 0.86/1.15 34 -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].
% 0.86/1.15 35 -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].
% 0.86/1.15 36 -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].
% 0.86/1.15 37 -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].
% 0.86/1.15 38 -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].
% 0.86/1.15 39 -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].
% 0.86/1.15 40 -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].
% 0.86/1.15 41 -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].
% 0.86/1.15 42 -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].
% 0.86/1.15 43 -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].
% 0.86/1.15 44 -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].
% 0.86/1.15 45 -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].
% 0.86/1.15 46 -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].
% 0.86/1.15 47 -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].
% 0.86/1.15 48 -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].
% 0.86/1.15 49 -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].
% 0.86/1.15 50 -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].
% 0.86/1.15 51 -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].
% 0.86/1.15 52 -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].
% 0.86/1.15 53 -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].
% 0.86/1.15 54 -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].
% 0.86/1.15 55 -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].
% 0.86/1.15 56 -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].
% 0.86/1.15 57 -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].
% 0.86/1.15 58 -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].
% 0.86/1.15 59 -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].
% 0.86/1.15 60 -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].
% 0.86/1.15 61 -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].
% 0.86/1.15 62 -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].
% 0.86/1.15 63 -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].
% 0.86/1.15 64 -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].
% 0.86/1.15 65 -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].
% 0.86/1.15 66 -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].
% 0.86/1.15 67 -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].
% 0.86/1.15 68 -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].
% 0.86/1.15 69 -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].
% 0.86/1.15 70 -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].
% 0.86/1.15 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(11,a,12,a)].
% 0.86/1.15 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(11,a,13,a)].
% 0.86/1.15 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(11,a,14,a)].
% 0.86/1.15 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(11,a,15,a)].
% 0.86/1.15 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(11,a,16,a)].
% 0.86/1.15 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(11,a,17,a)].
% 0.86/1.15 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(11,a,18,a)].
% 0.86/1.15 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(11,a,19,a)].
% 0.86/1.15 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(11,a,20,a)].
% 0.86/1.15 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(11,a,21,a)].
% 0.86/1.15 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(11,a,22,a)].
% 0.86/1.15 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(11,a,23,a)].
% 0.86/1.15 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(11,a,24,a)].
% 0.86/1.15 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(11,a,25,a)].
% 0.86/1.15 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(11,a,26,a)].
% 0.86/1.15 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(11,a,27,a)].
% 0.86/1.15 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(11,a,28,a)].
% 0.86/1.15 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(11,a,29,a)].
% 0.86/1.15 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(11,a,30,a)].
% 0.86/1.15 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(11,a,33,a)].
% 0.86/1.15 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(11,a,34,a)].
% 0.86/1.15 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(11,a,35,a)].
% 0.86/1.15 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(11,a,36,a)].
% 0.86/1.15 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(11,a,37,a)].
% 0.86/1.15 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(11,a,38,a)].
% 0.86/1.15 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(11,a,39,a)].
% 0.86/1.15 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(11,a,40,a)].
% 0.86/1.15 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(11,a,41,a)].
% 0.86/1.15 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(11,a,42,a)].
% 0.86/1.15 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(11,a,43,a)].
% 0.86/1.15 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(11,a,44,a)].
% 0.86/1.15 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = A. [resolve(11,a,45,a)].
% 0.86/1.15 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(11,a,46,a)].
% 0.86/1.15 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(11,a,47,a)].
% 0.86/1.15 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(11,a,48,a)].
% 0.86/1.15 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(11,a,49,a)].
% 0.86/1.15 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(11,a,50,a)].
% 0.86/1.15 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(11,a,51,a)].
% 0.86/1.15 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(11,a,52,a)].
% 0.86/1.15 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(11,a,53,a)].
% 0.86/1.15 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(11,a,54,a)].
% 0.86/1.15 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(11,a,55,a)].
% 0.86/1.15 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(11,a,56,a)].
% 0.86/1.15 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(11,a,57,a)].
% 0.86/1.15 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(11,a,58,a)].
% 0.86/1.15 Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(11,a,59,a)].
% 0.86/1.15 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(11,a,60,a)].
% 0.86/1.15 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(11,a,61,a)].
% 0.86/1.15 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(11,a,62,a)].
% 0.86/1.15 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(11,a,63,a)].
% 0.86/1.15 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(11,a,64,a)].
% 0.86/1.15 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(11,a,65,a)].
% 0.86/1.15 Derived: c_Divides_Odiv__class_Omod(A,A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(11,a,66,a)].
% 0.86/1.15 Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = A. [resolve(11,a,67,a)].
% 0.86/1.15 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(11,a,68,a)].
% 0.86/1.15 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(11,a,69,a)].
% 0.86/1.15 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(11,a,70,a)].
% 0.86/1.15 71 class_Divides_Osemiring__div(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ofield(A) # label(clsarity_Polynomial__Opoly__Divides_Osemiring__div) # label(axiom). [assumption].
% 0.86/1.15 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(71,a,12,a)].
% 0.86/1.15 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(71,a,13,a)].
% 0.86/1.15 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(71,a,14,a)].
% 0.86/1.15 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(71,a,15,a)].
% 0.86/1.15 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(71,a,16,a)].
% 0.86/1.15 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(71,a,17,a)].
% 0.86/1.15 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(71,a,18,a)].
% 0.86/1.15 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(71,a,19,a)].
% 0.86/1.15 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(71,a,20,a)].
% 0.86/1.15 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(71,a,21,a)].
% 0.86/1.15 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(71,a,22,a)].
% 0.86/1.15 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(71,a,23,a)].
% 0.86/1.15 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(71,a,24,a)].
% 0.86/1.15 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(71,a,25,a)].
% 0.86/1.15 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(71,a,26,a)].
% 0.86/1.15 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(71,a,27,a)].
% 0.86/1.15 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(71,a,28,a)].
% 0.86/1.15 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(71,a,29,a)].
% 0.86/1.15 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(71,a,30,a)].
% 0.86/1.15 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(71,a,33,a)].
% 0.86/1.15 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(71,a,34,a)].
% 0.86/1.15 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(71,a,35,a)].
% 0.86/1.15 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(71,a,36,a)].
% 0.86/1.15 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(71,a,37,a)].
% 0.86/1.15 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(71,a,38,a)].
% 0.86/1.15 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(71,a,39,a)].
% 0.86/1.15 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(71,a,40,a)].
% 0.86/1.15 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(71,a,41,a)].
% 0.86/1.15 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(71,a,42,a)].
% 0.86/1.15 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(71,a,43,a)].
% 0.86/1.15 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(71,a,44,a)].
% 0.86/1.15 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(71,a,45,a)].
% 0.86/1.15 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(71,a,46,a)].
% 0.86/1.15 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(71,a,47,a)].
% 0.86/1.15 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(71,a,48,a)].
% 0.86/1.15 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(71,a,49,a)].
% 0.86/1.15 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(71,a,50,a)].
% 0.86/1.15 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(71,a,51,a)].
% 0.86/1.15 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(71,a,52,a)].
% 0.86/1.15 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(71,a,53,a)].
% 0.86/1.15 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(71,a,54,a)].
% 0.86/1.15 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(71,a,55,a)].
% 0.86/1.15 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(71,a,56,a)].
% 0.86/1.15 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(71,a,57,a)].
% 0.86/1.15 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(71,a,58,a)].
% 0.86/1.15 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(71,a,59,a)].
% 0.86/1.15 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(71,a,60,a)].
% 0.86/1.17 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(71,a,61,a)].
% 0.86/1.17 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(71,a,62,a)].
% 0.86/1.17 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(71,a,63,a)].
% 0.86/1.17 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(71,a,64,a)].
% 0.86/1.17 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(71,a,65,a)].
% 0.86/1.17 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(71,a,66,a)].
% 0.86/1.17 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(71,a,67,a)].
% 0.86/1.17 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(71,a,68,a)].
% 0.86/1.17 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(71,a,69,a)].
% 0.86/1.17 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(71,a,70,a)].
% 0.86/1.17 72 class_Ring__and__Field_Oring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oring) # label(axiom). [assumption].
% 0.86/1.17 73 -class_Ring__and__Field_Oring(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_minus__mult__right_0) # label(axiom). [assumption].
% 0.86/1.17 74 -class_Ring__and__Field_Oring(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A) # label(cls_minus__mult__left_0) # label(axiom). [assumption].
% 0.86/1.17 75 -class_Ring__and__Field_Oring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Otimes__class_Otimes(B,C,A) # label(cls_minus__mult__minus_0) # label(axiom). [assumption].
% 0.86/1.17 76 -class_Ring__and__Field_Oring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A) # label(cls_eq__add__iff2_1) # label(axiom). [assumption].
% 0.86/1.17 77 -class_Ring__and__Field_Oring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),A) # label(cls_eq__add__iff1_1) # label(axiom). [assumption].
% 0.86/1.17 78 -class_Ring__and__Field_Oring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A) = F # label(cls_eq__add__iff1_0) # label(axiom). [assumption].
% 0.86/1.17 79 -class_Ring__and__Field_Oring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A) | D = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A) # label(cls_eq__add__iff2_0) # label(axiom). [assumption].
% 0.86/1.17 80 -class_Ring__and__Field_Oring(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_minus__mult__commute_0) # label(axiom). [assumption].
% 0.86/1.17 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(72,a,73,a)].
% 0.86/1.17 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(72,a,74,a)].
% 0.86/1.17 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(72,a,75,a)].
% 0.86/1.17 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(72,a,76,a)].
% 0.86/1.17 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(72,a,77,a)].
% 0.86/1.17 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(72,a,78,a)].
% 0.86/1.17 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(72,a,79,a)].
% 0.86/1.17 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(72,a,80,a)].
% 0.86/1.17 81 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring) # label(axiom). [assumption].
% 0.86/1.17 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(81,a,73,a)].
% 0.86/1.17 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex). [resolve(81,a,74,a)].
% 0.86/1.17 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex). [resolve(81,a,75,a)].
% 0.86/1.17 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(C,A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex). [resolve(81,a,76,a)].
% 0.86/1.17 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,D,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(81,a,77,a)].
% 0.86/1.17 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,D,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = E. [resolve(81,a,78,a)].
% 0.86/1.17 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,B,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex) | C = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex). [resolve(81,a,79,a)].
% 0.86/1.17 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(81,a,80,a)].
% 0.86/1.17 82 class_Ring__and__Field_Oring(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__ring(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oring) # label(axiom). [assumption].
% 0.86/1.17 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(82,a,73,a)].
% 0.86/1.17 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(82,a,74,a)].
% 0.86/1.17 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(82,a,75,a)].
% 0.86/1.17 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(82,a,76,a)].
% 0.86/1.17 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(82,a,77,a)].
% 0.86/1.17 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(82,a,78,a)].
% 0.86/1.18 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(82,a,79,a)].
% 0.86/1.18 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(82,a,80,a)].
% 0.86/1.18 83 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) # label(axiom). [assumption].
% 0.86/1.18 84 -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].
% 0.86/1.18 85 -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].
% 0.86/1.18 86 -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].
% 0.86/1.18 87 -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].
% 0.86/1.18 88 -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].
% 0.86/1.18 89 -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].
% 0.86/1.18 90 -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].
% 0.86/1.18 91 -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].
% 0.86/1.18 92 -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].
% 0.86/1.18 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(83,a,84,a)].
% 0.86/1.18 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(83,a,85,a)].
% 0.86/1.18 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(83,a,86,a)].
% 0.86/1.19 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(83,a,87,a)].
% 0.86/1.19 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(83,a,88,a)].
% 0.86/1.19 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(83,a,90,a)].
% 0.86/1.19 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(83,a,91,a)].
% 0.86/1.19 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(83,a,92,a)].
% 0.86/1.19 93 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) # label(axiom). [assumption].
% 0.86/1.19 Derived: c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(93,a,84,a)].
% 0.86/1.19 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Ominus__class_Ominus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(A,B,tc_Complex_Ocomplex),c_RealVector_OscaleR__class_OscaleR(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(93,a,85,a)].
% 0.86/1.19 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(93,a,86,a)].
% 0.86/1.19 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Oplus__class_Oplus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(A,B,tc_Complex_Ocomplex),c_RealVector_OscaleR__class_OscaleR(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(93,a,87,a)].
% 0.86/1.19 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_RealVector_OscaleR__class_OscaleR(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(93,a,88,a)].
% 0.86/1.19 Derived: c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(93,a,90,a)].
% 0.86/1.19 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(93,a,91,a)].
% 0.86/1.19 Derived: c_HOL_Osgn__class_Osgn(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(93,a,92,a)].
% 0.86/1.19 94 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Ofield) # label(axiom). [assumption].
% 0.86/1.19 95 -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].
% 0.86/1.19 96 -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].
% 0.86/1.19 97 -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].
% 0.86/1.19 98 -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].
% 0.86/1.19 99 -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].
% 0.86/1.19 100 -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].
% 0.86/1.19 101 -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].
% 0.86/1.19 102 -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].
% 0.86/1.19 103 -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].
% 0.86/1.19 104 -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].
% 0.86/1.19 105 -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].
% 0.86/1.19 106 -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].
% 0.86/1.19 107 -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].
% 0.86/1.19 108 -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].
% 0.86/1.19 109 -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].
% 0.86/1.19 110 -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].
% 0.86/1.19 111 -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].
% 0.86/1.19 112 -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].
% 0.86/1.19 113 -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].
% 0.86/1.19 114 -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].
% 0.86/1.19 115 -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].
% 0.86/1.19 116 -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].
% 0.86/1.19 117 -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].
% 0.86/1.19 118 -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].
% 0.86/1.19 119 -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].
% 0.86/1.19 120 -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].
% 0.86/1.19 121 -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].
% 0.86/1.19 122 -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].
% 0.86/1.19 123 -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].
% 0.86/1.19 124 -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].
% 0.86/1.19 125 -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].
% 0.86/1.19 126 -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].
% 0.86/1.19 127 -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].
% 0.86/1.19 128 -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].
% 0.86/1.19 129 -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].
% 0.86/1.19 130 -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].
% 0.86/1.19 131 -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].
% 0.86/1.19 132 -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].
% 0.86/1.19 133 -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].
% 0.86/1.19 134 -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].
% 0.86/1.19 135 -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].
% 0.86/1.19 136 -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].
% 0.86/1.19 137 -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].
% 0.86/1.19 138 -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].
% 0.86/1.19 139 -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].
% 0.86/1.19 140 -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].
% 0.86/1.19 141 -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].
% 0.86/1.19 142 -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].
% 0.86/1.19 143 -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].
% 0.86/1.19 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(94,a,95,a)].
% 0.86/1.19 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(94,a,96,a)].
% 0.86/1.19 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(94,a,97,a)].
% 0.86/1.19 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(94,a,98,a)].
% 0.86/1.19 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(94,a,101,a)].
% 0.86/1.19 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(94,a,102,a)].
% 0.86/1.19 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(94,a,103,a)].
% 0.86/1.19 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(94,a,104,a)].
% 0.86/1.19 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(94,a,105,a)].
% 0.86/1.19 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) | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(94,a,106,a)].
% 0.86/1.19 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(94,a,107,a)].
% 0.86/1.19 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(94,a,108,a)].
% 0.86/1.19 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(94,a,109,a)].
% 0.86/1.19 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(94,a,110,a)].
% 0.86/1.19 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(94,a,111,a)].
% 0.86/1.19 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(94,a,112,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Odivide(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(94,a,113,a)].
% 0.86/1.19 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(94,a,114,a)].
% 0.86/1.19 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(94,a,115,a)].
% 0.86/1.19 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(94,a,117,a)].
% 0.86/1.19 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(94,a,118,a)].
% 0.86/1.19 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(94,a,119,a)].
% 0.86/1.19 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(94,a,122,a)].
% 0.86/1.19 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(94,a,123,a)].
% 0.86/1.19 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(94,a,124,a)].
% 0.86/1.19 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(94,a,125,a)].
% 0.86/1.19 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(94,a,126,a)].
% 0.86/1.19 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(94,a,127,a)].
% 0.86/1.19 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(94,a,128,a)].
% 0.86/1.19 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(94,a,129,a)].
% 0.86/1.19 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(94,a,130,a)].
% 0.86/1.19 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(94,a,131,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) | 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(94,a,132,a)].
% 0.86/1.19 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(94,a,133,a)].
% 0.86/1.19 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(94,a,135,a)].
% 0.86/1.19 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(94,a,136,a)].
% 0.86/1.19 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(94,a,137,a)].
% 0.86/1.19 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(94,a,138,a)].
% 0.86/1.19 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(94,a,139,a)].
% 0.86/1.19 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(94,a,140,a)].
% 0.86/1.19 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(94,a,141,a)].
% 0.86/1.19 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(94,a,142,a)].
% 0.86/1.19 144 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) # label(axiom). [assumption].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(144,a,95,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(A,C,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(144,a,96,a)].
% 0.86/1.19 Derived: A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex). [resolve(144,a,97,a)].
% 0.86/1.19 Derived: A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = B. [resolve(144,a,98,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(A,C,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(144,a,101,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(B,A,tc_Complex_Ocomplex). [resolve(144,a,102,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = B. [resolve(144,a,103,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(144,a,104,a)].
% 0.86/1.19 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex). [resolve(144,a,105,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,106,a)].
% 0.86/1.19 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,D,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | D = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,107,a)].
% 0.86/1.19 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,108,a)].
% 0.86/1.19 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,109,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,110,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(A,c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) | C = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,111,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,112,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Odivide(A,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A. [resolve(144,a,113,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(144,a,114,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex). [resolve(144,a,115,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex). [resolve(144,a,117,a)].
% 0.86/1.19 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,118,a)].
% 0.86/1.19 Derived: A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(A,A,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex). [resolve(144,a,119,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex). [resolve(144,a,122,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | A = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex). [resolve(144,a,123,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,C,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,124,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,125,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex). [resolve(144,a,126,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,C,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(144,a,127,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex). [resolve(144,a,128,a)].
% 0.86/1.19 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | D = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,129,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | A = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,130,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = A | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,131,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex). [resolve(144,a,132,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(144,a,133,a)].
% 0.86/1.19 Derived: c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(A,C,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,135,a)].
% 0.86/1.19 Derived: c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(C,D,tc_Complex_Ocomplex) | D = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(A,D,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex). [resolve(144,a,136,a)].
% 0.86/1.19 Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | D = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(A,D,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(C,B,tc_Complex_Ocomplex). [resolve(144,a,137,a)].
% 0.86/1.19 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,138,a)].
% 0.86/1.20 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(144,a,139,a)].
% 0.86/1.20 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,140,a)].
% 0.86/1.20 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,141,a)].
% 0.86/1.20 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Odivide(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(144,a,142,a)].
% 0.86/1.20 145 class_Divides_Oring__div(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ofield(A) # label(clsarity_Polynomial__Opoly__Divides_Oring__div) # label(axiom). [assumption].
% 0.86/1.20 Derived: class_Divides_Oring__div(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(145,b,94,a)].
% 0.86/1.20 Derived: class_Divides_Oring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(145,b,144,a)].
% 0.86/1.20 146 -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(71,a,12,a)].
% 0.86/1.20 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(146,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Odiv(C,D,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(D,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(146,a,144,a)].
% 0.86/1.20 147 -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(71,a,13,a)].
% 0.86/1.20 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(147,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(147,a,144,a)].
% 0.86/1.20 148 -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(71,a,14,a)].
% 0.86/1.20 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(148,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = B | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(148,a,144,a)].
% 0.86/1.20 149 -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(71,a,15,a)].
% 0.86/1.20 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(149,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(149,a,144,a)].
% 0.86/1.20 150 -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(71,a,16,a)].
% 0.86/1.20 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(150,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(150,a,144,a)].
% 0.86/1.20 151 -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(71,a,17,a)].
% 0.86/1.20 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(151,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(151,a,144,a)].
% 0.86/1.20 152 -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(71,a,18,a)].
% 0.86/1.20 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(152,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(152,a,144,a)].
% 0.86/1.20 153 -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(71,a,19,a)].
% 0.86/1.20 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(153,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(153,a,144,a)].
% 0.86/1.20 154 -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(71,a,20,a)].
% 0.86/1.20 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(154,a,94,a)].
% 0.86/1.20 Derived: A = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(154,a,144,a)].
% 0.86/1.20 155 -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(71,a,21,a)].
% 0.86/1.20 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(155,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A. [resolve(155,a,144,a)].
% 0.86/1.20 156 -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(71,a,22,a)].
% 0.86/1.20 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(156,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = B. [resolve(156,a,144,a)].
% 0.86/1.20 157 -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(71,a,23,a)].
% 0.86/1.20 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(157,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(157,a,144,a)].
% 0.86/1.20 158 -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(71,a,24,a)].
% 0.86/1.20 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(158,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(158,a,144,a)].
% 0.86/1.20 159 -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(71,a,25,a)].
% 0.86/1.20 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(159,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(159,a,144,a)].
% 0.86/1.20 160 -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(71,a,26,a)].
% 0.86/1.20 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(160,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(160,a,144,a)].
% 0.86/1.20 161 -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(71,a,27,a)].
% 0.86/1.20 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(161,a,94,a)].
% 0.86/1.20 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(161,a,144,a)].
% 0.86/1.20 162 -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(71,a,28,a)].
% 0.86/1.20 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(162,a,94,a)].
% 0.86/1.20 Derived: c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Odiv(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(162,a,144,a)].
% 0.86/1.20 163 -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(71,a,29,a)].
% 0.86/1.20 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(163,a,94,a)].
% 0.86/1.20 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(163,a,144,a)].
% 0.86/1.20 164 -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(71,a,30,a)].
% 0.86/1.20 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(164,a,94,a)].
% 0.86/1.20 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(164,a,144,a)].
% 0.86/1.20 165 -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(71,a,33,a)].
% 0.86/1.20 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(165,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Odiv(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(165,a,144,a)].
% 0.86/1.20 166 -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(71,a,34,a)].
% 0.86/1.20 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(166,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(166,a,144,a)].
% 0.86/1.20 167 -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(71,a,35,a)].
% 0.86/1.20 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(167,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(167,a,144,a)].
% 0.86/1.20 168 -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(71,a,36,a)].
% 0.86/1.20 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(168,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(168,a,144,a)].
% 0.86/1.20 169 -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(71,a,37,a)].
% 0.86/1.20 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(169,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(169,a,144,a)].
% 0.86/1.20 170 -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(71,a,38,a)].
% 0.86/1.20 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(170,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(170,a,144,a)].
% 0.86/1.20 171 -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(71,a,39,a)].
% 0.86/1.20 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(171,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(171,a,144,a)].
% 0.86/1.20 172 -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(71,a,40,a)].
% 0.86/1.20 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(172,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(172,a,144,a)].
% 0.86/1.20 173 -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(71,a,41,a)].
% 0.86/1.20 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(173,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = B | -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(173,a,144,a)].
% 0.86/1.20 174 -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(71,a,42,a)].
% 0.86/1.20 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(174,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(174,a,144,a)].
% 0.86/1.20 175 -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(71,a,43,a)].
% 0.86/1.20 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(175,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(175,a,144,a)].
% 0.86/1.20 176 -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(71,a,44,a)].
% 0.86/1.20 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(176,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(176,a,144,a)].
% 0.86/1.20 177 -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(71,a,45,a)].
% 0.86/1.20 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(177,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A. [resolve(177,a,144,a)].
% 0.86/1.20 178 -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(71,a,46,a)].
% 0.86/1.20 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(178,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(178,a,144,a)].
% 0.86/1.20 179 -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(71,a,47,a)].
% 0.86/1.20 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(179,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(179,a,144,a)].
% 0.86/1.20 180 -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(71,a,48,a)].
% 0.86/1.20 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(180,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(180,a,144,a)].
% 0.86/1.20 181 -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(71,a,49,a)].
% 0.86/1.20 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(181,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(A,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | A = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(181,a,144,a)].
% 0.86/1.20 182 -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(71,a,50,a)].
% 0.86/1.20 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(182,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(182,a,144,a)].
% 0.86/1.20 183 -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(71,a,51,a)].
% 0.86/1.20 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(183,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Odiv(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(183,a,144,a)].
% 0.86/1.20 184 -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(71,a,52,a)].
% 0.86/1.20 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(184,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(184,a,144,a)].
% 0.86/1.20 185 -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(71,a,53,a)].
% 0.86/1.20 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(185,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(185,a,144,a)].
% 0.86/1.20 186 -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(71,a,54,a)].
% 0.86/1.20 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(186,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Odiv(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(186,a,144,a)].
% 0.86/1.20 187 -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(71,a,55,a)].
% 0.86/1.20 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(187,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(187,a,144,a)].
% 0.86/1.20 188 -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(71,a,56,a)].
% 0.86/1.20 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(188,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(D,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(188,a,144,a)].
% 0.86/1.20 189 -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(71,a,57,a)].
% 0.86/1.20 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(189,a,94,a)].
% 0.86/1.20 Derived: c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(189,a,144,a)].
% 0.86/1.20 190 -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(71,a,58,a)].
% 0.86/1.20 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(190,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(D,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(190,a,144,a)].
% 0.86/1.20 191 -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(71,a,59,a)].
% 0.86/1.20 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(191,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(191,a,144,a)].
% 0.86/1.20 192 -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(71,a,60,a)].
% 0.86/1.20 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(192,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(192,a,144,a)].
% 0.86/1.20 193 -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(71,a,61,a)].
% 0.86/1.20 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(193,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(193,a,144,a)].
% 0.86/1.20 194 -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(71,a,62,a)].
% 0.86/1.20 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(194,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(194,a,144,a)].
% 0.86/1.20 195 -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(71,a,63,a)].
% 0.86/1.20 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(195,a,94,a)].
% 0.86/1.20 Derived: c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A. [resolve(195,a,144,a)].
% 0.86/1.20 196 -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(71,a,64,a)].
% 0.86/1.20 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(196,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(196,a,144,a)].
% 0.86/1.20 197 -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(71,a,65,a)].
% 0.86/1.20 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(197,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(197,a,144,a)].
% 0.86/1.20 198 -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(71,a,66,a)].
% 0.86/1.20 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(198,a,94,a)].
% 0.86/1.20 Derived: c_Divides_Odiv__class_Omod(A,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(198,a,144,a)].
% 0.86/1.20 199 -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(71,a,67,a)].
% 0.86/1.21 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(199,a,94,a)].
% 0.86/1.21 Derived: c_Divides_Odiv__class_Omod(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = A. [resolve(199,a,144,a)].
% 0.86/1.21 200 -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(71,a,68,a)].
% 0.86/1.21 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(200,a,94,a)].
% 0.86/1.21 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(200,a,144,a)].
% 0.86/1.21 201 -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(71,a,69,a)].
% 0.86/1.21 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(201,a,94,a)].
% 0.86/1.21 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(201,a,144,a)].
% 0.86/1.21 202 -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(71,a,70,a)].
% 0.86/1.21 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(202,a,94,a)].
% 0.86/1.21 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(202,a,144,a)].
% 0.86/1.21 203 class_RealVector_Oreal__vector(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__vector) # label(axiom). [assumption].
% 0.86/1.21 204 -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].
% 0.86/1.21 205 -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].
% 0.86/1.21 206 -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].
% 0.86/1.21 207 -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].
% 0.86/1.21 208 -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].
% 0.86/1.21 209 -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].
% 0.86/1.24 210 -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].
% 0.86/1.24 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(203,a,208,a)].
% 0.86/1.24 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(203,a,209,a)].
% 0.86/1.24 211 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__vector) # label(axiom). [assumption].
% 0.86/1.24 Derived: c_RealVector_OscaleR__class_OscaleR(A,B,tc_Complex_Ocomplex) != c_RealVector_OscaleR__class_OscaleR(C,B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = C. [resolve(211,a,208,a)].
% 0.86/1.24 Derived: c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(211,a,209,a)].
% 0.86/1.24 212 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) # label(axiom). [assumption].
% 0.86/1.24 213 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(B,A) != c_HOL_Ouminus__class_Ouminus(C,A) | B = C # label(cls_neg__equal__iff__equal_0) # label(axiom). [assumption].
% 0.86/1.24 214 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A) = C # label(cls_add__minus__cancel_0) # label(axiom). [assumption].
% 0.86/1.24 215 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ouminus__class_Ouminus(B,A) # label(cls_group__add__class_Odiff__0_0) # label(axiom). [assumption].
% 0.86/1.24 216 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) = c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_diff__minus_0) # label(axiom). [assumption].
% 0.86/1.24 217 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A) = B # label(cls_diff__add__cancel_0) # label(axiom). [assumption].
% 0.86/1.24 218 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_eq__neg__iff__add__eq__0_0) # label(axiom). [assumption].
% 0.86/1.24 219 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(B,A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_right__minus_0) # label(axiom). [assumption].
% 0.86/1.24 220 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_left__minus_0) # label(axiom). [assumption].
% 0.86/1.24 221 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,c_HOL_Ouminus__class_Ouminus(C,A),A) = c_HOL_Oplus__class_Oplus(B,C,A) # label(cls_diff__minus__eq__add_0) # label(axiom). [assumption].
% 0.86/1.24 222 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A) = B # label(cls_add__diff__cancel_0) # label(axiom). [assumption].
% 0.86/1.24 223 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) = B # label(cls_minus__equation__iff_1) # label(axiom). [assumption].
% 0.86/1.24 224 -class_OrderedGroup_Ogroup__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_equation__minus__iff_1) # label(axiom). [assumption].
% 0.86/1.24 225 -class_OrderedGroup_Ogroup__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_equation__minus__iff_0) # label(axiom). [assumption].
% 0.86/1.24 226 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) = B # label(cls_minus__minus_0) # label(axiom). [assumption].
% 0.86/1.24 227 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | c_HOL_Ouminus__class_Ouminus(B,A) = C # label(cls_minus__unique_0) # label(axiom). [assumption].
% 0.86/1.24 228 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ouminus__class_Ouminus(C,A) # label(cls_eq__neg__iff__add__eq__0_1) # label(axiom). [assumption].
% 0.86/1.24 229 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A) = C # label(cls_minus__add__cancel_0) # label(axiom). [assumption].
% 0.86/1.24 230 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_minus__add_0) # label(axiom). [assumption].
% 0.86/1.24 231 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_minus__zero_0) # label(axiom). [assumption].
% 0.86/1.24 232 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ozero__class_Ozero(A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A) # label(cls_neg__0__equal__iff__equal_1) # label(axiom). [assumption].
% 0.86/1.24 233 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(B,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_neg__equal__0__iff__equal_0) # label(axiom). [assumption].
% 0.86/1.24 234 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_right__minus__eq_1) # label(axiom). [assumption].
% 0.86/1.24 235 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A) = B # label(cls_diff__0__right_0) # label(axiom). [assumption].
% 0.86/1.24 236 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_diff__self_0) # label(axiom). [assumption].
% 0.86/1.24 237 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ozero__class_Ozero(A) != c_HOL_Ouminus__class_Ouminus(B,A) | c_HOL_Ozero__class_Ozero(A) = B # label(cls_neg__0__equal__iff__equal_0) # label(axiom). [assumption].
% 0.86/1.24 238 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = C # label(cls_right__minus__eq_0) # label(axiom). [assumption].
% 0.86/1.24 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal) | A = B. [resolve(212,a,213,a)].
% 0.86/1.24 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(212,a,214,a)].
% 0.86/1.24 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(212,a,215,a)].
% 0.86/1.24 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(212,a,216,a)].
% 0.86/1.24 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = A. [resolve(212,a,217,a)].
% 0.86/1.24 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(212,a,218,a)].
% 0.86/1.24 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(212,a,219,a)].
% 0.86/1.24 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(212,a,221,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),B,tc_RealDef_Oreal) = A. [resolve(212,a,222,a)].
% 0.86/1.24 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(212,a,223,a)].
% 0.86/1.24 Derived: A = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(212,a,224,a)].
% 0.86/1.24 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(212,a,227,a)].
% 0.86/1.24 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(212,a,228,a)].
% 0.86/1.24 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(212,a,229,a)].
% 0.86/1.24 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(212,a,230,a)].
% 0.86/1.24 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(212,a,231,a)].
% 0.86/1.24 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(212,a,232,a)].
% 0.86/1.24 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(212,a,233,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(A,A,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(212,a,234,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(212,a,235,a)].
% 0.86/1.24 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(212,a,237,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | A = B. [resolve(212,a,238,a)].
% 0.86/1.24 239 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) # label(axiom). [assumption].
% 0.86/1.24 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex) | A = B. [resolve(239,a,213,a)].
% 0.86/1.24 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = B. [resolve(239,a,214,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex). [resolve(239,a,215,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(239,a,216,a)].
% 0.86/1.24 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = A. [resolve(239,a,217,a)].
% 0.86/1.24 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(239,a,218,a)].
% 0.86/1.24 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(239,a,219,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex). [resolve(239,a,221,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = A. [resolve(239,a,222,a)].
% 0.86/1.24 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A. [resolve(239,a,223,a)].
% 0.86/1.24 Derived: A = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(239,a,224,a)].
% 0.86/1.24 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) = B. [resolve(239,a,227,a)].
% 0.86/1.24 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex). [resolve(239,a,228,a)].
% 0.86/1.24 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = B. [resolve(239,a,229,a)].
% 0.86/1.24 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(239,a,230,a)].
% 0.86/1.24 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(239,a,231,a)].
% 0.86/1.24 Derived: c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(239,a,232,a)].
% 0.86/1.24 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(239,a,233,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(A,A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(239,a,234,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A. [resolve(239,a,235,a)].
% 0.86/1.24 Derived: c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = A. [resolve(239,a,237,a)].
% 0.86/1.24 Derived: c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = B. [resolve(239,a,238,a)].
% 0.86/1.24 240 class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Oab__group__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add) # label(axiom). [assumption].
% 0.86/1.24 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(240,a,213,a)].
% 0.86/1.24 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(240,a,214,a)].
% 0.86/1.24 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(240,a,215,a)].
% 0.86/1.24 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(240,a,216,a)].
% 0.86/1.24 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(240,a,217,a)].
% 0.86/1.24 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(240,a,218,a)].
% 0.86/1.24 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(240,a,219,a)].
% 0.86/1.24 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(240,a,221,a)].
% 0.86/1.24 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(240,a,222,a)].
% 0.86/1.25 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(240,a,223,a)].
% 0.86/1.25 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(240,a,224,a)].
% 0.86/1.25 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(240,a,227,a)].
% 0.86/1.25 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(240,a,228,a)].
% 0.86/1.25 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(240,a,229,a)].
% 0.86/1.25 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(240,a,230,a)].
% 0.86/1.25 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(240,a,231,a)].
% 0.86/1.25 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(240,a,232,a)].
% 0.86/1.25 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(240,a,233,a)].
% 0.86/1.25 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(240,a,234,a)].
% 0.86/1.25 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(240,a,235,a)].
% 0.86/1.25 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(240,a,237,a)].
% 0.86/1.25 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(240,a,238,a)].
% 0.86/1.25 241 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) # label(axiom). [assumption].
% 0.86/1.25 242 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,C,A),D,A) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,D,A),c_HOL_Oinverse__class_Odivide(C,D,A),A) # label(cls_divide_Odiff_0) # label(axiom). [assumption].
% 0.86/1.25 243 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A),D,A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,C,A),D,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A),A) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_DERIV__inverse__lemma_0) # label(axiom). [assumption].
% 0.86/1.25 244 -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].
% 0.86/1.25 245 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A) # label(cls_divide_Ominus_0) # label(axiom). [assumption].
% 0.86/1.25 246 -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].
% 0.86/1.25 247 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,C,A),D,A) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,D,A),c_HOL_Oinverse__class_Odivide(C,D,A),A) # label(cls_divide_Oadd_0) # label(axiom). [assumption].
% 0.86/1.25 248 -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].
% 0.86/1.25 249 -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].
% 0.86/1.25 250 -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].
% 0.86/1.25 251 -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].
% 0.86/1.25 252 -class_RealVector_Oreal__normed__field(A) | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_divide_Ozero_0) # label(axiom). [assumption].
% 0.86/1.25 253 -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].
% 0.86/1.25 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(241,a,243,a)].
% 0.86/1.25 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(241,a,244,b)].
% 0.86/1.25 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(241,a,245,a)].
% 0.86/1.25 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(241,a,246,b)].
% 0.86/1.25 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(241,a,248,b)].
% 0.86/1.26 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(241,a,249,b)].
% 0.86/1.26 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(241,a,250,a)].
% 0.86/1.26 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(241,a,251,b)].
% 0.86/1.26 Derived: -class_SEQ_Obanach(tc_RealDef_Oreal) | c_Transcendental_Oexp(A,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(241,a,253,b)].
% 0.86/1.26 254 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) # label(axiom). [assumption].
% 0.86/1.26 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(254,a,243,a)].
% 0.86/1.26 Derived: -class_SEQ_Obanach(tc_Complex_Ocomplex) | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(A,tc_Complex_Ocomplex),c_Transcendental_Oexp(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(254,a,244,b)].
% 0.86/1.26 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(254,a,245,a)].
% 0.86/1.26 Derived: -class_SEQ_Obanach(tc_Complex_Ocomplex) | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(A,tc_Complex_Ocomplex),c_Transcendental_Oexp(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(254,a,246,b)].
% 0.86/1.26 Derived: -class_SEQ_Obanach(tc_Complex_Ocomplex) | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(A,tc_Complex_Ocomplex),c_Transcendental_Oexp(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(254,a,248,b)].
% 0.86/1.26 Derived: -class_SEQ_Obanach(tc_Complex_Ocomplex) | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex). [resolve(254,a,249,b)].
% 0.86/1.26 Derived: c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Oinverse__class_Odivide(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(254,a,250,a)].
% 0.86/1.26 Derived: -class_SEQ_Obanach(tc_Complex_Ocomplex) | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(254,a,251,b)].
% 0.86/1.26 Derived: -class_SEQ_Obanach(tc_Complex_Ocomplex) | c_Transcendental_Oexp(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(254,a,253,b)].
% 0.86/1.26 255 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) # label(axiom). [assumption].
% 0.86/1.26 256 -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].
% 0.86/1.28 257 -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].
% 0.86/1.28 258 -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].
% 0.86/1.28 259 -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].
% 0.86/1.28 260 -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].
% 0.86/1.28 261 -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].
% 0.86/1.28 262 -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].
% 0.86/1.28 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(255,a,256,a)].
% 0.86/1.28 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(255,a,257,a)].
% 0.86/1.28 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(255,a,258,a)].
% 0.86/1.28 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(255,a,259,a)].
% 0.86/1.28 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(255,a,260,a)].
% 0.86/1.28 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(255,a,261,a)].
% 0.86/1.28 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(255,a,262,a)].
% 0.86/1.28 263 class_Int_Onumber__ring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Int_Onumber__ring) # label(axiom). [assumption].
% 0.86/1.28 264 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A) != c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,E,A),A) | D = E | C = c_HOL_Ozero__class_Ozero(A) # label(cls_class__ringb_Oadd__scale__eq__noteq_0) # label(axiom). [assumption].
% 0.86/1.28 265 -class_Int_Onumber__ring(A) | c_HOL_Ouminus__class_Ouminus(B,A) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),B,A) # label(cls_class__ring_Oneg__mul_0) # label(axiom). [assumption].
% 0.86/1.28 266 -class_Int_Onumber__ring(A) | c_HOL_Ominus__class_Ominus(B,C,A) = c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A) # label(cls_class__ring_Osub__add_0) # label(axiom). [assumption].
% 0.86/1.28 267 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(B,C,A) != c_HOL_Oplus__class_Oplus(B,D,A) | C = D # label(cls_class__ringb_Oadd__cancel_0) # label(axiom). [assumption].
% 0.86/1.28 268 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_class__ringb_Oadd__mul__solve_1) # label(axiom). [assumption].
% 0.86/1.28 269 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A) # label(cls_class__ringb_Onoteq__reduce_1) # label(axiom). [assumption].
% 0.86/1.28 270 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A) | C = E | B = D # label(cls_class__ringb_Onoteq__reduce_0) # label(axiom). [assumption].
% 0.86/1.28 271 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A) | C = E | B = D # label(cls_class__ringb_Oadd__mul__solve_0) # label(axiom). [assumption].
% 0.86/1.28 272 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Ominus__class_Ominus(B,B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_class__ringb_Osubr0__iff_1) # label(axiom). [assumption].
% 0.86/1.28 273 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | B != c_HOL_Oplus__class_Oplus(B,C,A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_class__ringb_Oadd__r0__iff_0) # label(axiom). [assumption].
% 0.86/1.28 274 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | c_HOL_Ominus__class_Ominus(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = C # label(cls_class__ringb_Osubr0__iff_0) # label(axiom). [assumption].
% 0.86/1.28 275 -class_Ring__and__Field_Oidom(A) | -class_Int_Onumber__ring(A) | B = c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A) # label(cls_class__ringb_Oadd__r0__iff_1) # label(axiom). [assumption].
% 0.86/1.28 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(263,a,264,b)].
% 0.86/1.28 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(263,a,265,a)].
% 0.86/1.28 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(263,a,267,b)].
% 0.86/1.28 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(263,a,268,b)].
% 0.86/1.28 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(263,a,270,b)].
% 0.86/1.28 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(263,a,273,b)].
% 0.86/1.28 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(263,a,275,b)].
% 0.86/1.28 276 class_Int_Onumber__ring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Int_Onumber__ring) # label(axiom). [assumption].
% 0.86/1.28 Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(A,c_HOL_Otimes__class_Otimes(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | C = D | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(276,a,264,b)].
% 0.86/1.28 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),A,tc_Complex_Ocomplex). [resolve(276,a,265,a)].
% 0.86/1.28 Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(A,C,tc_Complex_Ocomplex) | B = C. [resolve(276,a,267,b)].
% 0.86/1.28 Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(276,a,268,b)].
% 0.86/1.28 Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = D | A = C. [resolve(276,a,270,b)].
% 0.86/1.28 Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | A != c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(276,a,273,b)].
% 0.86/1.28 Derived: -class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) | A = c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(276,a,275,b)].
% 0.86/1.28 277 class_Int_Onumber__ring(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__ring__1(A) # label(clsarity_Polynomial__Opoly__Int_Onumber__ring) # label(axiom). [assumption].
% 0.86/1.28 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(277,a,264,b)].
% 0.86/1.28 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(277,a,265,a)].
% 0.86/1.28 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(277,a,266,a)].
% 0.86/1.28 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(277,a,267,b)].
% 0.86/1.28 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(277,a,268,b)].
% 0.86/1.29 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(277,a,270,b)].
% 0.86/1.29 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(277,a,272,b)].
% 0.86/1.29 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(277,a,273,b)].
% 0.86/1.29 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(277,a,274,b)].
% 0.86/1.29 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(277,a,275,b)].
% 0.86/1.29 278 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) # label(axiom). [assumption].
% 0.86/1.29 279 -class_Ring__and__Field_Oordered__ring__strict(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_sum__squares__eq__zero__iff_0) # label(axiom). [assumption].
% 0.86/1.29 280 -class_Ring__and__Field_Oordered__ring__strict(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A) != c_HOL_Ozero__class_Ozero(A) | C = c_HOL_Ozero__class_Ozero(A) # label(cls_sum__squares__eq__zero__iff_1) # label(axiom). [assumption].
% 0.86/1.29 281 -class_Ring__and__Field_Oordered__ring__strict(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_sum__squares__eq__zero__iff_2) # label(axiom). [assumption].
% 0.86/1.29 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(278,a,279,a)].
% 0.86/1.29 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(278,a,280,a)].
% 0.86/1.29 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(278,a,281,a)].
% 0.86/1.29 282 class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oordered__idom(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict) # label(axiom). [assumption].
% 0.86/1.29 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(282,a,279,a)].
% 0.86/1.30 Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(C,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | C = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(282,a,280,a)].
% 0.86/1.30 Derived: -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)). [resolve(282,a,281,a)].
% 0.86/1.30 283 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring) # label(axiom). [assumption].
% 0.86/1.30 284 -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].
% 0.86/1.30 285 -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].
% 0.86/1.30 286 -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].
% 0.86/1.30 287 -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].
% 0.86/1.30 288 -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].
% 0.86/1.30 289 -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].
% 0.86/1.30 290 -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].
% 0.86/1.30 291 -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].
% 0.86/1.30 292 -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].
% 0.86/1.30 293 -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].
% 0.86/1.30 294 -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].
% 0.86/1.30 295 -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].
% 0.86/1.30 296 -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].
% 0.86/1.30 297 -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].
% 0.86/1.30 298 -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].
% 0.86/1.30 299 -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].
% 0.86/1.30 300 -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].
% 0.86/1.30 301 -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].
% 0.86/1.30 302 -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].
% 0.86/1.30 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(283,a,284,a)].
% 0.86/1.30 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(283,a,285,a)].
% 0.86/1.30 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(283,a,286,a)].
% 0.86/1.30 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(283,a,287,a)].
% 0.86/1.30 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(283,a,289,a)].
% 0.86/1.30 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(283,a,290,a)].
% 0.86/1.31 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(283,a,291,a)].
% 0.86/1.31 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(283,a,292,a)].
% 0.86/1.31 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(283,a,293,a)].
% 0.86/1.31 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(283,a,294,a)].
% 0.86/1.31 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(283,a,295,a)].
% 0.86/1.31 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(283,a,296,a)].
% 0.86/1.31 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(283,a,297,a)].
% 0.86/1.31 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(283,a,298,a)].
% 0.86/1.31 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(283,a,300,a)].
% 0.86/1.31 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(283,a,301,a)].
% 0.86/1.31 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(283,a,302,a)].
% 0.86/1.31 303 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) # label(axiom). [assumption].
% 0.86/1.31 Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) = B. [resolve(303,a,284,a)].
% 0.86/1.31 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex) | A = B. [resolve(303,a,285,a)].
% 0.86/1.31 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex). [resolve(303,a,286,a)].
% 0.86/1.31 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(303,a,287,a)].
% 0.86/1.31 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,289,a)].
% 0.86/1.31 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,290,a)].
% 0.86/1.31 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,291,a)].
% 0.86/1.31 Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,292,a)].
% 0.86/1.31 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A. [resolve(303,a,293,a)].
% 0.86/1.31 Derived: c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,294,a)].
% 0.86/1.31 Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,295,a)].
% 0.86/1.31 Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex). [resolve(303,a,296,a)].
% 0.86/1.31 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(B,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,297,a)].
% 0.86/1.31 Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,298,a)].
% 0.86/1.31 Derived: c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,300,a)].
% 0.86/1.33 Derived: -class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,301,a)].
% 0.86/1.33 Derived: c_HOL_Oinverse__class_Oinverse(A,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Oinverse(B,tc_Complex_Ocomplex) | A = B | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(303,a,302,a)].
% 0.86/1.33 304 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Ocomm__monoid__mult) # label(axiom). [assumption].
% 0.86/1.33 305 -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].
% 0.86/1.33 306 -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].
% 0.86/1.33 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(304,a,305,a)].
% 0.86/1.33 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat) = A. [resolve(304,a,306,a)].
% 0.86/1.33 307 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) # label(axiom). [assumption].
% 0.86/1.33 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(307,a,305,a)].
% 0.86/1.33 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = A. [resolve(307,a,306,a)].
% 0.86/1.33 308 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) # label(axiom). [assumption].
% 0.86/1.33 Derived: c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,C,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(308,a,305,a)].
% 0.86/1.33 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = A. [resolve(308,a,306,a)].
% 0.86/1.33 309 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].
% 0.86/1.33 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(309,a,305,a)].
% 0.86/1.33 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(309,a,306,a)].
% 0.86/1.33 310 class_Ring__and__Field_Odvd(tc_nat) # label(clsarity_nat__Ring__and__Field_Odvd) # label(axiom). [assumption].
% 0.86/1.33 311 -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].
% 0.86/1.33 312 -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].
% 0.86/1.33 313 -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].
% 0.86/1.33 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(310,a,311,a)].
% 0.86/1.33 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(310,a,312,a)].
% 0.86/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat). [resolve(310,a,313,a)].
% 0.86/1.33 314 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Odvd) # label(axiom). [assumption].
% 0.86/1.33 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(314,a,311,a)].
% 0.86/1.33 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(314,a,312,a)].
% 0.86/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(314,a,313,a)].
% 0.86/1.33 315 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd) # label(axiom). [assumption].
% 0.86/1.33 Derived: -class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) | c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),E,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,E,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,D,tc_Complex_Ocomplex). [resolve(315,a,311,a)].
% 0.86/1.33 Derived: -class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) | c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,c_HOL_Otimes__class_Otimes(D,E,tc_Complex_Ocomplex),tc_Complex_Ocomplex),C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) | -c_Ring__and__Field_Odvd__class_Odvd(A,E,tc_Complex_Ocomplex). [resolve(315,a,312,a)].
% 0.86/1.33 Derived: c_Ring__and__Field_Odvd__class_Odvd(A,c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(315,a,313,a)].
% 0.86/1.33 316 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].
% 0.86/1.33 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(316,a,311,a)].
% 0.86/1.35 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(A)) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(E,F,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)) | -c_Ring__and__Field_Odvd__class_Odvd(B,F,tc_Polynomial_Opoly(A)). [resolve(316,a,312,a)].
% 0.86/1.35 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(316,a,313,a)].
% 0.86/1.35 317 class_Divides_Oring__div(tc_Polynomial_Opoly(tc_RealDef_Oreal)). [resolve(145,b,94,a)].
% 0.86/1.35 318 -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].
% 0.86/1.35 319 -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].
% 0.86/1.35 320 -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].
% 0.86/1.35 321 -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].
% 0.86/1.35 322 -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].
% 0.86/1.35 323 -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].
% 0.86/1.35 324 -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].
% 0.86/1.35 325 -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].
% 0.86/1.35 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(317,a,318,a)].
% 0.86/1.35 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(317,a,319,a)].
% 0.86/1.35 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(317,a,320,a)].
% 0.86/1.35 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(317,a,321,a)].
% 0.86/1.35 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(317,a,322,a)].
% 0.86/1.35 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(317,a,323,a)].
% 0.86/1.35 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(317,a,324,a)].
% 0.86/1.35 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(317,a,325,a)].
% 0.86/1.35 326 class_Divides_Oring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(145,b,144,a)].
% 0.86/1.35 Derived: c_Divides_Odiv__class_Odiv(A,c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(326,a,318,a)].
% 0.86/1.35 Derived: c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(326,a,319,a)].
% 0.86/1.35 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(326,a,320,a)].
% 0.86/1.36 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(326,a,321,a)].
% 0.86/1.36 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(A,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(326,a,322,a)].
% 0.86/1.36 Derived: c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(A,c_Divides_Odiv__class_Omod(B,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(326,a,323,a)].
% 0.86/1.36 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(326,a,324,a)].
% 0.86/1.36 Derived: c_Divides_Odiv__class_Omod(A,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(C,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(D,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Divides_Odiv__class_Omod(E,B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(D,A,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(E,C,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B,tc_Polynomial_Opoly(tc_Complex_Ocomplex)). [resolve(326,a,325,a)].
% 0.86/1.36 327 class_OrderedGroup_Oab__semigroup__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Oab__semigroup__mult) # label(axiom). [assumption].
% 0.86/1.36 328 -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].
% 0.86/1.36 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(327,a,328,a)].
% 0.86/1.36 329 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) # label(axiom). [assumption].
% 0.86/1.36 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(329,a,328,a)].
% 0.86/1.36 330 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) # label(axiom). [assumption].
% 0.86/1.36 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(330,a,328,a)].
% 0.86/1.36 331 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].
% 0.86/1.37 Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(331,a,328,a)].
% 0.86/1.37 332 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) # label(axiom). [assumption].
% 0.86/1.37 333 -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].
% 0.86/1.37 334 -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].
% 0.86/1.37 335 -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].
% 0.86/1.37 336 -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].
% 0.86/1.37 337 -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].
% 0.86/1.37 338 -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].
% 0.86/1.37 339 -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].
% 0.86/1.37 340 -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].
% 0.86/1.37 341 -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].
% 0.86/1.37 342 -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].
% 0.86/1.37 343 -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].
% 0.86/1.37 344 -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].
% 0.86/1.37 345 -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].
% 0.86/1.37 346 -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].
% 0.86/1.37 347 -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].
% 0.86/1.37 348 -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].
% 0.86/1.37 349 -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].
% 0.86/1.37 350 -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].
% 0.86/1.37 351 -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].
% 0.86/1.37 352 -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].
% 0.86/1.37 353 -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].
% 0.86/1.37 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(332,a,333,a)].
% 0.86/1.37 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(332,a,335,a)].
% 0.86/1.37 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(332,a,337,a)].
% 0.86/1.37 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(332,a,339,a)].
% 0.86/1.37 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(332,a,341,a)].
% 0.86/1.37 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(332,a,342,a)].
% 0.86/1.37 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(332,a,344,a)].
% 0.86/1.37 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(332,a,346,a)].
% 0.86/1.37 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(332,a,348,a)].
% 0.86/1.37 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(332,a,350,a)].
% 0.86/1.37 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(332,a,352,a)].
% 0.86/1.37 354 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) # label(axiom). [assumption].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oplus__class_Oplus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,333,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,335,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,337,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ouminus__class_Ouminus(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,339,a)].
% 0.86/1.37 Derived: c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,C,tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,C,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,c_HOL_Ominus__class_Ominus(B,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,341,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ominus__class_Ominus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,342,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,344,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_RealVector_OscaleR__class_OscaleR(A,c_HOL_Otimes__class_Otimes(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,346,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(A,c_RealVector_OscaleR__class_OscaleR(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(A,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(354,a,348,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(354,a,350,a)].
% 0.86/1.37 Derived: c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(354,a,352,a)].
% 0.86/1.40 355 class_Ring__and__Field_Ocomm__semiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Ocomm__semiring) # label(axiom). [assumption].
% 0.86/1.40 356 -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].
% 0.86/1.40 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(355,a,356,a)].
% 0.86/1.40 357 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) # label(axiom). [assumption].
% 0.86/1.40 358 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) # label(axiom). [assumption].
% 0.86/1.40 359 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].
% 0.86/1.40 Derived: -class_Ring__and__Field_Ocomm__semiring__0(A) | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(359,a,356,a)].
% 0.86/1.40 360 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) # label(axiom). [assumption].
% 0.86/1.40 361 -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].
% 0.86/1.40 362 -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].
% 0.86/1.40 363 -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].
% 0.86/1.40 364 -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].
% 0.86/1.40 365 -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].
% 0.86/1.40 366 -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].
% 0.86/1.40 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(360,a,361,a)].
% 0.86/1.40 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(360,a,362,a)].
% 0.86/1.40 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(360,a,363,a)].
% 0.86/1.40 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(360,a,364,a)].
% 0.86/1.42 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(360,a,365,a)].
% 0.86/1.42 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(360,a,366,a)].
% 0.86/1.42 367 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].
% 0.86/1.42 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(367,a,361,a)].
% 0.86/1.42 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(367,a,362,a)].
% 0.86/1.42 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(367,a,363,a)].
% 0.86/1.42 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(367,a,364,a)].
% 0.86/1.42 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(367,a,365,a)].
% 0.86/1.42 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(367,a,366,a)].
% 0.86/1.42 368 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom). [assumption].
% 0.86/1.42 369 -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].
% 0.86/1.42 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_nat) != c_HOL_Oplus__class_Oplus(A,C,tc_nat) | B = C. [resolve(368,a,369,a)].
% 0.86/1.42 370 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom). [assumption].
% 0.86/1.42 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(A,C,tc_RealDef_Oreal) | B = C. [resolve(370,a,369,a)].
% 0.86/1.42 371 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom). [assumption].
% 0.86/1.42 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(A,C,tc_Complex_Ocomplex) | B = C. [resolve(371,a,369,a)].
% 0.86/1.42 372 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].
% 0.86/1.42 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(372,a,369,a)].
% 0.86/1.42 373 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocancel__semigroup__add) # label(axiom). [assumption].
% 0.86/1.42 374 -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].
% 0.86/1.44 375 -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].
% 0.86/1.44 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_nat) != c_HOL_Oplus__class_Oplus(C,B,tc_nat) | A = C. [resolve(373,a,375,a)].
% 0.86/1.44 376 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) # label(axiom). [assumption].
% 0.86/1.44 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(C,B,tc_RealDef_Oreal) | A = C. [resolve(376,a,375,a)].
% 0.86/1.44 377 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) # label(axiom). [assumption].
% 0.86/1.44 Derived: c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(C,B,tc_Complex_Ocomplex) | A = C. [resolve(377,a,375,a)].
% 0.86/1.44 378 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].
% 0.86/1.44 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(378,a,375,a)].
% 0.86/1.44 379 class_OrderedGroup_Omonoid__mult(tc_nat) # label(clsarity_nat__OrderedGroup_Omonoid__mult) # label(axiom). [assumption].
% 0.86/1.44 380 -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].
% 0.86/1.44 381 -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].
% 0.86/1.44 382 -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].
% 0.86/1.44 383 -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].
% 0.86/1.44 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = A. [resolve(379,a,380,a)].
% 0.86/1.44 Derived: c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat) = c_HOL_Oone__class_Oone(tc_nat). [resolve(379,a,382,a)].
% 0.86/1.44 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(379,a,383,a)].
% 0.86/1.44 384 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) # label(axiom). [assumption].
% 0.86/1.44 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(384,a,380,a)].
% 0.86/1.44 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(384,a,382,a)].
% 0.86/1.44 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(384,a,383,a)].
% 0.86/1.44 385 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) # label(axiom). [assumption].
% 0.86/1.44 Derived: c_HOL_Otimes__class_Otimes(A,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A. [resolve(385,a,380,a)].
% 0.86/1.44 Derived: c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex). [resolve(385,a,382,a)].
% 0.86/1.44 Derived: c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(A,c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(385,a,383,a)].
% 0.86/1.47 386 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].
% 0.86/1.47 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(386,a,380,a)].
% 0.86/1.47 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(386,a,382,a)].
% 0.86/1.47 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(386,a,383,a)].
% 0.86/1.47 387 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs) # label(axiom). [assumption].
% 0.86/1.47 388 -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].
% 0.86/1.47 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(387,a,388,a)].
% 0.86/1.47 389 class_OrderedGroup_Oab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Oab__semigroup__add) # label(axiom). [assumption].
% 0.86/1.47 390 -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].
% 0.86/1.47 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(389,a,390,a)].
% 0.86/1.47 391 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) # label(axiom). [assumption].
% 0.86/1.47 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(391,a,390,a)].
% 0.86/1.47 392 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) # label(axiom). [assumption].
% 0.86/1.47 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_Complex_Ocomplex),C,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(392,a,390,a)].
% 0.86/1.47 393 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].
% 0.86/1.47 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(393,a,390,a)].
% 0.86/1.47 394 class_Ring__and__Field_Osemiring(tc_nat) # label(clsarity_nat__Ring__and__Field_Osemiring) # label(axiom). [assumption].
% 0.86/1.47 395 -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].
% 0.86/1.47 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(394,a,395,a)].
% 0.86/1.50 396 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) # label(axiom). [assumption].
% 0.86/1.50 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,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(396,a,395,a)].
% 0.86/1.50 397 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) # label(axiom). [assumption].
% 0.86/1.50 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,C,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex). [resolve(397,a,395,a)].
% 0.86/1.50 398 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].
% 0.86/1.50 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(398,a,395,a)].
% 0.86/1.50 399 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) # label(axiom). [assumption].
% 0.86/1.50 400 -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].
% 0.86/1.50 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(399,a,400,a)].
% 0.86/1.50 401 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) # label(axiom). [assumption].
% 0.86/1.50 Derived: c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex). [resolve(401,a,400,a)].
% 0.86/1.50 402 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) # label(axiom). [assumption].
% 0.86/1.50 403 -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].
% 0.86/1.50 404 -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].
% 0.86/1.50 405 -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].
% 0.86/1.50 406 -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].
% 0.86/1.54 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(402,a,403,a)].
% 0.86/1.54 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(402,a,404,a)].
% 0.86/1.54 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(402,a,405,a)].
% 0.86/1.54 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(402,a,406,a)].
% 0.86/1.54 407 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__algebra) # label(axiom). [assumption].
% 0.86/1.54 408 -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].
% 0.86/1.54 409 -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].
% 0.86/1.54 410 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra) # label(axiom). [assumption].
% 0.86/1.54 411 class_RealVector_Oreal__field(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__field) # label(axiom). [assumption].
% 0.86/1.54 412 -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].
% 0.86/1.54 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(411,a,412,a)].
% 0.86/1.54 413 class_RealVector_Oreal__field(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__field) # label(axiom). [assumption].
% 0.86/1.54 Derived: c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(C,D,tc_Complex_Ocomplex),tc_Complex_Ocomplex),E,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(A,C,tc_Complex_Ocomplex),E,tc_Complex_Ocomplex),D,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(413,a,412,a)].
% 0.86/1.54 414 class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1) # label(axiom). [assumption].
% 0.86/1.55 415 -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].
% 0.86/1.55 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(414,a,415,a)].
% 0.86/1.55 416 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1) # label(axiom). [assumption].
% 0.86/1.55 Derived: c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(A,tc_Complex_Ocomplex),B,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),B,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(416,a,415,a)].
% 0.86/1.55 417 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].
% 0.86/1.55 Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),C,tc_Polynomial_Opoly(A)),c_Power_Opower__class_Opower(B,C,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(417,a,415,a)].
% 0.86/1.55 418 class_Ring__and__Field_Osemiring__1(tc_nat) # label(clsarity_nat__Ring__and__Field_Osemiring__1) # label(axiom). [assumption].
% 0.86/1.55 419 -class_Ring__and__Field_Osemiring__1(A) | -c_Int_Oiszero(c_HOL_Oone__class_Oone(A),A) # label(cls_not__iszero__1_0) # label(axiom). [assumption].
% 0.86/1.55 420 -class_Ring__and__Field_Osemiring__1(A) | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(A),A) # label(cls_iszero__0_0) # label(axiom). [assumption].
% 0.86/1.55 421 -class_Ring__and__Field_Osemiring__1(A) | B = c_HOL_Ozero__class_Ozero(A) | -c_Int_Oiszero(B,A) # label(cls_iszero__def_0) # label(axiom). [assumption].
% 0.86/1.55 Derived: -c_Int_Oiszero(c_HOL_Oone__class_Oone(tc_nat),tc_nat). [resolve(418,a,419,a)].
% 0.86/1.55 Derived: c_Int_Oiszero(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat). [resolve(418,a,420,a)].
% 0.86/1.55 Derived: A = c_HOL_Ozero__class_Ozero(tc_nat) | -c_Int_Oiszero(A,tc_nat). [resolve(418,a,421,a)].
% 0.86/1.55 422 class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__1) # label(axiom). [assumption].
% 0.86/1.55 Derived: -c_Int_Oiszero(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(422,a,419,a)].
% 0.86/1.55 Derived: c_Int_Oiszero(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(422,a,420,a)].
% 0.86/1.55 Derived: A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | -c_Int_Oiszero(A,tc_RealDef_Oreal). [resolve(422,a,421,a)].
% 0.86/1.55 423 class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1) # label(axiom). [assumption].
% 0.86/1.55 Derived: -c_Int_Oiszero(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(423,a,419,a)].
% 0.86/1.55 Derived: c_Int_Oiszero(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(423,a,420,a)].
% 0.86/1.55 Derived: A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | -c_Int_Oiszero(A,tc_Complex_Ocomplex). [resolve(423,a,421,a)].
% 0.86/1.55 424 class_Ring__and__Field_Osemiring__1(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring__1) # label(axiom). [assumption].
% 0.86/1.55 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | -c_Int_Oiszero(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(424,a,419,a)].
% 0.86/1.60 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)). [resolve(424,a,420,a)].
% 0.86/1.60 Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | B = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)) | -c_Int_Oiszero(B,tc_Polynomial_Opoly(A)). [resolve(424,a,421,a)].
% 0.86/1.60 425 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) # label(axiom). [assumption].
% 0.86/1.60 426 -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].
% 0.86/1.60 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(425,a,426,a)].
% 0.86/1.60 427 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) # label(axiom). [assumption].
% 0.86/1.60 Derived: c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(A,tc_Complex_Ocomplex),c_HOL_Osgn__class_Osgn(B,tc_Complex_Ocomplex),tc_Complex_Ocomplex). [resolve(427,a,426,a)].
% 0.86/1.60 428 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) # label(axiom). [assumption].
% 0.86/1.60 429 -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].
% 0.86/1.60 430 -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].
% 0.86/1.60 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) != A | A = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal). [resolve(428,a,430,a)].
% 0.86/1.60 431 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].
% 0.86/1.60 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(431,a,429,a)].
% 0.86/1.60 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(431,a,430,a)].
% 0.86/1.60 432 class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if) # label(axiom). [assumption].
% 0.86/1.60 433 -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].
% 0.86/1.60 434 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].
% 0.86/1.60 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(434,a,433,a)].
% 0.86/1.60 435 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].
% 0.86/1.60 436 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_2) # label(axiom). [assumption].
% 0.86/1.60 437 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_1) # label(axiom). [assumption].
% 0.86/1.62 438 -class_Ring__and__Field_Oring__no__zero__divisors(A) | c_HOL_Otimes__class_Otimes(B,C,A) != c_HOL_Ozero__class_Ozero(A) | C = c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_mult__eq__0__iff_0) # label(axiom). [assumption].
% 0.86/1.62 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(435,a,438,a)].
% 0.86/1.62 439 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) # label(axiom). [assumption].
% 0.86/1.62 Derived: c_HOL_Otimes__class_Otimes(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | B = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(439,a,438,a)].
% 0.86/1.62 440 class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oidom(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors) # label(axiom). [assumption].
% 0.86/1.62 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(440,a,436,a)].
% 0.86/1.62 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(440,a,437,a)].
% 0.86/1.62 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(440,a,438,a)].
% 0.86/1.62 441 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].
% 0.86/1.62 442 -class_Ring__and__Field_Oring__1__no__zero__divisors(A) | c_Power_Opower__class_Opower(B,C,A) != c_HOL_Ozero__class_Ozero(A) | B = c_HOL_Ozero__class_Ozero(A) # label(cls_field__power__not__zero_0) # label(axiom). [assumption].
% 0.86/1.62 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(441,a,442,a)].
% 0.86/1.62 443 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors) # label(axiom). [assumption].
% 0.86/1.62 Derived: c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) | A = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex). [resolve(443,a,442,a)].
% 0.86/1.62 444 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(A)) | -class_Ring__and__Field_Oidom(A) # label(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors) # label(axiom). [assumption].
% 0.86/1.62 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(444,a,442,a)].
% 0.86/1.62 445 class_OrderedGroup_Omonoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 0.86/1.62 446 -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].
% 0.86/1.62 447 -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].
% 0.86/1.62 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = A. [resolve(445,a,446,a)].
% 0.86/1.62 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) = A. [resolve(445,a,447,a)].
% 3.62/3.86 448 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 3.62/3.86 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(448,a,446,a)].
% 3.62/3.86 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = A. [resolve(448,a,447,a)].
% 3.62/3.86 449 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) # label(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 3.62/3.86 Derived: c_HOL_Oplus__class_Oplus(A,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = A. [resolve(449,a,446,a)].
% 3.62/3.86 Derived: c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),A,tc_Complex_Ocomplex) = A. [resolve(449,a,447,a)].
% 3.62/3.86 450 class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(A)) | -class_OrderedGroup_Ocomm__monoid__add(A) # label(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 3.62/3.86 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(450,a,446,a)].
% 3.62/3.86 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(450,a,447,a)].
% 3.62/3.86
% 3.62/3.86 ============================== end predicate elimination =============
% 3.62/3.86
% 3.62/3.86 Auto_denials: (non-Horn, no changes).
% 3.62/3.86
% 3.62/3.86 Term ordering decisions:
% 3.62/3.86 Function symbol KB weights: tc_RealDef_Oreal=1. tc_Complex_Ocomplex=1. tc_nat=1. t_a=1. v_pa____=1. v_s____=1. v_x____=1. v_a____=1. v_p=1. v_q=1. v_qa____=1. c_Complex_Oii=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_Transcendental_Oexp=1. c_OrderedGroup_Olordered__ab__group__add__class_Onprt=1. c_OrderedGroup_Olordered__ab__group__add__class_Opprt=1. tc_Polynomial_Opoly=1. c_HOL_Ozero__class_Ozero=1. c_HOL_Oone__class_Oone=1. c_Complex_Ocnj=1. v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1=1. v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2=1. v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2=1. c_HOL_Otimes__class_Otimes=1. c_HOL_Oplus__class_Oplus=1. c_Divides_Odiv__class_Omod=1. c_HOL_Oinverse__class_Odivide=1. c_Divides_Odiv__class_Odiv=1. c_HOL_Ominus__class_Ominus=1. c_Power_Opower__class_Opower=1. c_RealVector_OscaleR__class_OscaleR=1. c_Polynomial_Opoly=1. c_Polynomial_OpCons=1. c_Polynomial_Oorder=1. c_Polynomial_Opcompose=1.
% 3.62/3.86
% 3.62/3.86 ============================== end of process initial clauses ========
% 3.62/3.86
% 3.62/3.86 ============================== CLAUSES FOR SEARCH ====================
% 3.62/3.86
% 3.62/3.86 ============================== end of clauses for search =============
% 3.62/3.86
% 3.62/3.86 ============================== SEARCH ================================
% 3.62/3.86
% 3.62/3.86 % Starting search at 0.57 seconds.
% 3.62/3.86
% 3.62/3.86 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 22 (0.00 of 0.77 sec).
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=47.000, iters=3387
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=43.000, iters=3422
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=39.000, iters=3379
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=38.000, iters=3333
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=37.000, iters=3369
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=35.000, iters=3333
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=33.000, iters=3353
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=31.000, iters=3387
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% 3.62/3.86 Low Water (keep): wt=30.000, iters=3394
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% 3.62/3.86 Low Water (keep): wt=29.000, iters=3363
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% 3.62/3.86 Low Water (keep): wt=28.000, iters=3351
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% 3.62/3.86 Low Water (keep): wt=27.000, iters=3379
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=26.000, iters=3346
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% 3.62/3.86 Low Water (keep): wt=25.000, iters=3334
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=24.000, iters=3355
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=23.000, iters=3465
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=22.000, iters=3364
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=21.000, iters=3358
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=20.000, iters=3337
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=19.000, iters=3352
% 3.62/3.86
% 3.62/3.86 Low Water (keep): wt=18.000, iters=3358
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% 3.62/3.86 Low Water (keep): wt=17.000, iters=3337
% 3.62/3.86
% 3.62/3.86 Low Water (displace): id=4589, wt=69.000
% 3.62/3.86
% 3.62/3.86 Low Water (displace): id=85Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------