TSTP Solution File: ALG434-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG434-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n003.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 : 300s
% DateTime : Wed Aug 30 15:59:59 EDT 2023
% Result : Unsatisfiable 0.21s 0.83s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG434-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 03:09:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.78 %-------------------------------------------
% 0.21/0.78 % File :CSE---1.6
% 0.21/0.78 % Problem :theBenchmark
% 0.21/0.78 % Transform :cnf
% 0.21/0.78 % Format :tptp:raw
% 0.21/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.78
% 0.21/0.78 % Result :Theorem 0.030000s
% 0.21/0.78 % Output :CNFRefutation 0.030000s
% 0.21/0.78 %-------------------------------------------
% 0.21/0.79 %------------------------------------------------------------------------------
% 0.21/0.79 % File : ALG434-1 : TPTP v8.1.2. Released v4.1.0.
% 0.21/0.79 % Domain : General Algebra
% 0.21/0.79 % Problem : Fundamental theorem of algebra 1005_24
% 0.21/0.79 % Version : Especial.
% 0.21/0.79 % English :
% 0.21/0.79
% 0.21/0.79 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.21/0.79 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.21/0.79 % Source : [Nip10]
% 0.21/0.79 % Names : Fundamental_Theorem_Algebra-1005_24 [Nip10]
% 0.21/0.79
% 0.21/0.79 % Status : Unsatisfiable
% 0.21/0.79 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.20 v5.4.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.07 v4.1.0
% 0.21/0.79 % Syntax : Number of clauses : 441 ( 35 unt; 28 nHn; 187 RR)
% 0.21/0.79 % Number of literals : 1034 ( 388 equ; 568 neg)
% 0.21/0.79 % Maximal clause size : 6 ( 2 avg)
% 0.21/0.79 % Maximal term depth : 6 ( 1 avg)
% 0.21/0.79 % Number of predicates : 43 ( 42 usr; 0 prp; 1-5 aty)
% 0.21/0.79 % Number of functors : 19 ( 19 usr; 4 con; 0-3 aty)
% 0.21/0.79 % Number of variables : 1248 ( 86 sgn)
% 0.21/0.79 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.79
% 0.21/0.79 % Comments :
% 0.21/0.79 %------------------------------------------------------------------------------
% 0.21/0.79 cnf(cls_synthetic__div__unique_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.79 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a)) != c_Polynomial_OpCons(V_r,V_q,T_a)
% 0.21/0.79 | V_r = c_Polynomial_Opoly(V_p,V_c,T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__pCons_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_order__root_1,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__0_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__smult_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),V_x,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__mult_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__add_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__minus_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__diff_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_diff__pCons_0,axiom,
% 0.21/0.79 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.79 | c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_minus__pCons_0,axiom,
% 0.21/0.79 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.79 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_synthetic__div__unique__lemma_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.79 | c_Polynomial_Osmult(V_c,V_p,T_a) != c_Polynomial_OpCons(V_a,V_p,T_a)
% 0.21/0.79 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_add__pCons_0,axiom,
% 0.21/0.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.21/0.79 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_smult__pCons_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.79 | c_Polynomial_Osmult(V_a,c_Polynomial_OpCons(V_b,V_p,T_a),T_a) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_Polynomial_Osmult(V_a,V_p,T_a),T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_pCons__eq__0__iff_0,axiom,
% 0.21/0.79 ( ~ class_HOL_Ozero(T_a)
% 0.21/0.79 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_pCons__0__0_0,axiom,
% 0.21/0.79 ( ~ class_HOL_Ozero(T_a)
% 0.21/0.79 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_pCons__eq__0__iff_1,axiom,
% 0.21/0.79 ( ~ class_HOL_Ozero(T_a)
% 0.21/0.79 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.79 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_pCons__eq__iff_0,axiom,
% 0.21/0.79 ( ~ class_HOL_Ozero(T_a)
% 0.21/0.79 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 0.21/0.79 | V_a = V_b ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_pCons__eq__iff_1,axiom,
% 0.21/0.79 ( ~ class_HOL_Ozero(T_a)
% 0.21/0.79 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 0.21/0.79 | V_p = V_q ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__eq__0__iff__dvd_1,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(V_p,V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_poly__eq__0__iff__dvd_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(V_p,V_c,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.79 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_dvd__iff__poly__eq__0_1,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(V_p,c_HOL_Ouminus__class_Ouminus(V_c,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.79 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_dvd__iff__poly__eq__0_0,axiom,
% 0.21/0.79 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.79 | c_Polynomial_Opoly(V_p,c_HOL_Ouminus__class_Ouminus(V_c,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.79
% 0.21/0.79 cnf(cls_offset__poly__eq__0__lemma_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.80 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_c,V_p,T_a),c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.80 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_no__zero__divisors_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_one__neq__zero_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.21/0.80 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_div__mult__self1__is__id_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = V_a
% 0.21/0.80 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_div__mult__self2__is__id_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = V_a
% 0.21/0.80 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 0.21/0.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.80 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.21/0.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.80 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.21/0.80 | V_a = V_b ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.21/0.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.21/0.80 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.21/0.80 | V_x = V_y ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_pdivmod__rel__unique_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | V_q1 = V_q2
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a)
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_pdivmod__rel__unique_1,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | V_r1 = V_r2
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a)
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_poly__gcd__0__0_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_abs__mult_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.80 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_minus__mult__left_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.21/0.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_minus__mult__right_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.21/0.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mult__left__idem_0,axiom,
% 0.21/0.80 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_power__eq__0__iff_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.21/0.80 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.21/0.80 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.21/0.80 | ~ class_Power_Opower(T_a)
% 0.21/0.80 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_field__power__not__zero_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.21/0.80 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_div__mult__div__if__dvd_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),c_Divides_Odiv__class_Odiv(V_w,V_z,T_a),T_a) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_x,V_w,T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 0.21/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_w,T_a)
% 0.21/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_pdivmod__rel__by__0__iff_1,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | V_r = V_x
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_div__mult__mult1__if_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mod__add__self1_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mod__add__self2_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_add__minus__cancel_0,axiom,
% 0.21/0.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.80 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_poly__mod__mult__right_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Omod(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_y,c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),V_z,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.80 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.80 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 0.21/0.80 | V_c = V_d
% 0.21/0.80 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.21/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.21/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.80 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mult__idem_0,axiom,
% 0.21/0.80 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_pdivmod__rel__def_1,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a)
% 0.21/0.80 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_pdivmod__rel__0__iff_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_pdivmod__rel__0__iff_1,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | V_r = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_pdivmod__rel__by__0__iff_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.80 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.80 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_power__mult__distrib_0,axiom,
% 0.21/0.80 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.21/0.80 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_inf__period_I4_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.21/0.80 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.21/0.80 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.21/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.21/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_inf__period_I4_J_1,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.21/0.80 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.21/0.80 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.21/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.21/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mod__div__decomp_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | V_a = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mod__div__equality_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) = V_a ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mod__div__equality2_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.80 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) = V_a ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 0.21/0.80 ( ~ class_Int_Onumber__ring(T_a)
% 0.21/0.80 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_dvd__div__neg_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Oring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Odiv(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),T_a)
% 0.21/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_dvd__neg__div_0,axiom,
% 0.21/0.80 ( ~ class_Divides_Oring__div(T_a)
% 0.21/0.80 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),T_a)
% 0.21/0.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.21/0.80 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.21/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mult__right_Oadd_0,axiom,
% 0.21/0.80 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.80 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 0.21/0.80
% 0.21/0.80 cnf(cls_mult_Oadd__right_0,axiom,
% 0.21/0.80 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__left_Oadd_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult_Oadd__left_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__poly__add__left_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_p,V_r,tc_Polynomial_Opoly(T_a)),c_HOL_Otimes__class_Otimes(V_q,V_r,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_abs__minus__commute_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.21/0.81 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_poly__gcd__zero__iff_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Polynomial_Opoly__gcd(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.81 | V_x = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_poly__gcd__zero__iff_1,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Polynomial_Opoly__gcd(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.81 | V_y = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_neg__equal__zero_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.21/0.81 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 0.21/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_div__add__self1_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.21/0.81 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_div__add__self2_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.21/0.81 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_abs__one_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.81 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult_Ominus__left_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__left_Ominus_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult_Ominus__right_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__right_Ominus_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_square__eq__iff_1,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_minus__mult__minus_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_div__mult__mult1_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.21/0.81 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_div__mult__mult2_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.21/0.81 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mod__minus__eq_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Oring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_diff__poly__code_I1_J_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Ouminus__class_Ouminus(V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__pCons__left_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__pCons__right_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_OpCons(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.81 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_div__by__0_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_div__0_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_double__eq__0__iff_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_diff__poly__code_I2_J_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = V_p ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_right__minus__eq_1,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_diff__0__right_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_diff__self_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_square__eq__iff_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 0.21/0.81 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.21/0.81 | V_a = V_b ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.81 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.21/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_dvd__power_1,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_pdivmod__rel__def_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | V_x = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_q,V_y,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a))
% 0.21/0.81 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_smult__add__left_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.81 | c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_p,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_eq__add__iff2_1,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_div__add_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_x,V_z,T_a),c_Divides_Odiv__class_Odiv(V_y,V_z,T_a),T_a)
% 0.21/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,T_a)
% 0.21/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__1__right_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__1__left_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__1_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Omul__1_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_pdivmod__rel_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Polynomial_Opdivmod__rel(V_x,V_y,c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mod__0_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_poly__gcd__left__commute_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Polynomial_Opoly__gcd(V_x,c_Polynomial_Opoly__gcd(V_y,V_z,T_a),T_a) = c_Polynomial_Opoly__gcd(V_y,c_Polynomial_Opoly__gcd(V_x,V_z,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_poly__gcd__assoc_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_z,T_a) = c_Polynomial_Opoly__gcd(V_x,c_Polynomial_Opoly__gcd(V_y,V_z,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_diff__add__cancel_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_poly__gcd__minus__right_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Polynomial_Opoly__gcd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_Polynomial_Opoly(T_a)),T_a) = c_Polynomial_Opoly__gcd(V_x,V_y,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_poly__gcd__minus__left_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(V_x,tc_Polynomial_Opoly(T_a)),V_y,T_a) = c_Polynomial_Opoly__gcd(V_x,V_y,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_double__eq__0__iff_1,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mod__add__eq_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_abs__eq__0_1,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.21/0.81 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_add__cancel__21_1,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.21/0.81 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_poly__div__minus__right_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_poly__div__minus__left_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(V_x,tc_Polynomial_Opoly(T_a)),V_y,tc_Polynomial_Opoly(T_a)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mod__add__right__eq_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mod__add__left__eq_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_eq__eqI_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.21/0.81 | V_x_H = V_y_H ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_eq__eqI_1,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.21/0.81 | V_xa = V_y ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mod__poly__eq_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)) = V_r
% 0.21/0.81 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_combine__common__factor_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_ab__left__minus_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_right__minus_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_left__minus_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.81 | V_a = V_b ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_right__minus__eq_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.81 | V_a = V_b ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.81 | V_x = V_y ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__right_Odiff_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult_Odiff__right_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult_Odiff__left_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mult__left_Odiff_0,axiom,
% 0.21/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 0.21/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.81 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_dvd__div__mult_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_c,T_a) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),V_a,T_a)
% 0.21/0.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_power__abs_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.81 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mod__mult__right__eq_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_mod__mult__left__eq_0,axiom,
% 0.21/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.21/0.81
% 0.21/0.81 cnf(cls_pdivmod__rel__mult_0,axiom,
% 0.21/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.81 | c_Polynomial_Opdivmod__rel(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,tc_Polynomial_Opoly(T_a)),V_q_H,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_y,V_r_H,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)),T_a)
% 0.21/0.81 | ~ c_Polynomial_Opdivmod__rel(V_q,V_z,V_q_H,V_r_H,T_a)
% 0.21/0.81 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ).
% 0.21/0.81
% 0.21/0.82 cnf(cls_add__cancel__end_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 0.21/0.82 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult__div__cancel_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),T_a) = V_b
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__div__mult__self_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_a,T_a) = V_b
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_diff__minus__eq__add_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mult__self2_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mult__self1_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.21/0.82 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.21/0.82 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__poly__code_I1_J_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = V_q ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__poly__code_I2_J_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = V_p ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__0__left_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.82 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__diff__cancel_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__equation__iff_1,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_equation__minus__iff_1,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_equation__minus__iff_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_double__compl_0,axiom,
% 0.21/0.82 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__minus_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__by__1_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__diff__eq_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_diff__def_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__ring_Osub__add_0,axiom,
% 0.21/0.82 ( ~ class_Int_Onumber__ring(T_a)
% 0.21/0.82 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_diff__minus_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_ab__diff__minus_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__diff__eq_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Oring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_abs__minus__cancel_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.21/0.82 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.21/0.82 | V_y = V_z ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__imp__eq_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.21/0.82 | V_b = V_c ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__left__cancel_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.21/0.82 | V_b = V_c ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__right__cancel_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.21/0.82 | V_b = V_c ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_pdivmod__rel__0_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__imp__mod__0_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_zero__neq__one_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.21/0.82 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_power__one_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.21/0.82 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Oring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Oring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__eq__0__iff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__cancel__21_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__smult__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_x,c_Polynomial_Osmult(V_a,V_y,T_a),tc_Polynomial_Opoly(T_a)) = c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_pdivmod__rel__def_6,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_y,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_pdivmod__rel__def_5,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_r,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mod__trivial_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__self_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__minus__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_p,T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_eq__add__iff1_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_abs__idempotent_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.21/0.82 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_eq__add__iff1_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_eq__add__iff2_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.21/0.82 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__mod__equality_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__mod__equality2_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_pdivmod__rel__by__0_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__by__0_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__self_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_power__minus_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.21/0.82 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__div__trivial_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__minus__cong_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Oring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mult__eq_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_power__commutes_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__mult__self1_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(V_c,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a)
% 0.21/0.82 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__mult__self2_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(V_c,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a)
% 0.21/0.82 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__poly__eq_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)) = V_q
% 0.21/0.82 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__add__cong_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__diff__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_p,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__unique_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__power_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),V_n,T_a) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.21/0.82 | V_c = V_d
% 0.21/0.82 | V_a = V_b ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)
% 0.21/0.82 | V_y = V_z
% 0.21/0.82 | V_w = V_x ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_abs__mult__self_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mult__cong_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__left_Ozero_0,axiom,
% 0.21/0.82 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult_Ozero__left_0,axiom,
% 0.21/0.82 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult_Ozero__right_0,axiom,
% 0.21/0.82 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__right_Ozero_0,axiom,
% 0.21/0.82 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__poly__0__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__poly__0__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__zero__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__zero__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_abs__power__minus_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.82 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__by__1_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__diff__cong_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Oring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_add__cancel__end_1,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__add__cancel_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_poly__mod__minus__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_poly__gcd__commute_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Polynomial_Opoly__gcd(V_x,V_y,T_a) = c_Polynomial_Opoly__gcd(V_y,V_x,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__mult__commute_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__zero_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_neg__equal__zero_1,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__poly__code_I1_J_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_poly__gcd__code_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Polynomial_Opoly__gcd(V_x,V_y,T_a) = c_Polynomial_Opoly__gcd(V_y,c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)),T_a)
% 0.21/0.82 | V_y = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__eq__0__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__0__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_poly__div__mult__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Odiv(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),V_z,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_abs__add__abs_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.21/0.82 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_abs__eq__0_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.21/0.82 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_semiring__div__class_Omod__div__equality_H_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a),T_a) = V_a ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.21/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_pdivmod__rel__def_3,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | V_y = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_q,V_y,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_y,V_q,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_poly__mod__minus__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_x,tc_Polynomial_Opoly(T_a)),V_y,tc_Polynomial_Opoly(T_a)) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mult__mult1_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mult__mult2_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__add_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__add__distrib_0,axiom,
% 0.21/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__if__abs__eq_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.82 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__dvd__mono_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__0__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__eq__0__iff_2,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__mod__cancel_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_poly__gcd__greatest_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__poly__gcd__iff_2,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_poly__gcd__dvd1_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_x,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_poly__gcd__dvd2_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_y,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__dvd__iff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__abs__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__abs__iff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_abs__dvd__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_abs__dvd__iff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__0__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__diff__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(V_a,c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__poly__gcd__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__poly__gcd__iff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__minus__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(V_a,c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__0__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__dvd__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_minus__dvd__iff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__minus__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__minus__iff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__dvd__div_1,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__dvd__div_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__add_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__1__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a) = V_p ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mod__smult__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Omod(c_Polynomial_Osmult(V_a,V_x,T_a),V_y,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__smult__cancel_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__dvd_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__smult__iff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__smult__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__dvd__iff_1,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__dvd__iff_2,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__dvd__iff_4,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult2_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mult_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_one__dvd_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__trans_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__refl_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__dvd__iff_3,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_pdivmod__rel__smult__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(V_a,V_x,T_a),V_y,c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_Osmult(V_a,V_r,T_a),T_a)
% 0.21/0.82 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__diff_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__add__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(V_a,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mod__iff_1,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mod__iff_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__mod_0,axiom,
% 0.21/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_div__smult__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.21/0.82 | c_Divides_Odiv__class_Odiv(c_Polynomial_Osmult(V_a,V_x,T_a),V_y,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__triv__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__triv__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvdI_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__dvd__cancel_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__smult_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_dvd__power__same_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.21/0.82 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.21/0.82 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__smult__right_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_mult__smult__left_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.82 | c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_pq_0,axiom,
% 0.21/0.82 c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_smult__smult_0,axiom,
% 0.21/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.21/0.82 | c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_p,T_a) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_CHAINED_0,axiom,
% 0.21/0.82 c_Ring__and__Field_Odvd__class_Odvd(v_q,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_CHAINED_0_01,axiom,
% 0.21/0.82 c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 0.21/0.82
% 0.21/0.82 cnf(cls_conjecture_0,negated_conjecture,
% 0.21/0.82 ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 0.21/0.82
% 0.21/0.82 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.21/0.82 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.82 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.21/0.82
% 0.21/0.82 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.21/0.82 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 0.21/0.82
% 0.21/0.82 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 0.21/0.82 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.21/0.82
% 0.21/0.82 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.21/0.82 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.21/0.82
% 0.21/0.82 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.21/0.82 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.21/0.82
% 0.21/0.82 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.21/0.82 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 0.21/0.82
% 0.21/0.82 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.21/0.82 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 0.21/0.82
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.21/0.83 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.21/0.83 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 0.21/0.83 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.21/0.83 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.21/0.83 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 0.21/0.83 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 0.21/0.83 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.21/0.83 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 0.21/0.83 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.21/0.83 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 0.21/0.83 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 0.21/0.83 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
% 0.21/0.83 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 0.21/0.83 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 0.21/0.83 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 0.21/0.83 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 0.21/0.83 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1,axiom,
% 0.21/0.83 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 0.21/0.83 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 0.21/0.83 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 0.21/0.83 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom,
% 0.21/0.83 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 0.21/0.83 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
% 0.21/0.83 class_Power_Opower(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
% 0.21/0.83 class_HOL_Ozero(tc_Complex_Ocomplex) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 0.21/0.83 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.21/0.83 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom,
% 0.21/0.83 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.21/0.83 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.21/0.83 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.21/0.83 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom,
% 0.21/0.83 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.21/0.83 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom,
% 0.21/0.83 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom,
% 0.21/0.83 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom,
% 0.21/0.83 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom,
% 0.21/0.83 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
% 0.21/0.83 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ofield(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd,axiom,
% 0.21/0.83 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Divides_Oring__div,axiom,
% 0.21/0.83 ( class_Divides_Oring__div(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ofield(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 0.21/0.83 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__Power_Opower,axiom,
% 0.21/0.83 ( class_Power_Opower(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom,
% 0.21/0.83 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1))
% 0.21/0.83 | ~ class_HOL_Ozero(T_1) ) ).
% 0.21/0.83
% 0.21/0.83 %------------------------------------------------------------------------------
% 0.21/0.83 %-------------------------------------------
% 0.21/0.83 % Proof found
% 0.21/0.83 % SZS status Theorem for theBenchmark
% 0.21/0.83 % SZS output start Proof
% 0.76/0.83 %ClaNum:529(EqnAxiom:88)
% 0.76/0.83 %VarNum:3261(SingletonVarNum:1107)
% 0.76/0.83 %MaxLitNum:6
% 0.76/0.83 %MaxfuncDepth:4
% 0.76/0.83 %SharedTerms:40
% 0.76/0.83 %goalClause: 123
% 0.76/0.83 %singleGoalClaCount:1
% 0.76/0.83 [89]P1(a1)
% 0.76/0.83 [90]P29(a1)
% 0.76/0.83 [91]P2(a1)
% 0.76/0.83 [92]P3(a1)
% 0.76/0.83 [93]P11(a1)
% 0.76/0.83 [94]P4(a1)
% 0.76/0.83 [95]P33(a1)
% 0.76/0.83 [96]P35(a1)
% 0.76/0.83 [97]P41(a1)
% 0.76/0.83 [98]P18(a1)
% 0.76/0.83 [99]P30(a1)
% 0.76/0.83 [100]P31(a1)
% 0.76/0.83 [101]P36(a1)
% 0.76/0.83 [102]P34(a1)
% 0.76/0.83 [103]P20(a1)
% 0.76/0.83 [104]P39(a1)
% 0.76/0.83 [105]P9(a1)
% 0.76/0.83 [106]P19(a1)
% 0.76/0.83 [107]P32(a1)
% 0.76/0.83 [108]P12(a1)
% 0.76/0.83 [109]P26(a1)
% 0.76/0.83 [110]P27(a1)
% 0.76/0.83 [111]P21(a1)
% 0.76/0.83 [112]P13(a1)
% 0.76/0.83 [113]P42(a1)
% 0.76/0.83 [114]P22(a1)
% 0.76/0.83 [115]P15(a1)
% 0.76/0.83 [116]P16(a1)
% 0.76/0.83 [117]P40(a1)
% 0.76/0.83 [118]P28(a1)
% 0.76/0.83 [119]P17(a1)
% 0.76/0.83 [121]P5(a16,a19,f17(a1))
% 0.76/0.83 [122]P5(a19,f2(a18,a19,a1),f17(a1))
% 0.76/0.83 [123]~P5(a16,f2(a18,a19,a1),f17(a1))
% 0.76/0.83 [124]~P1(x1241)+P1(f17(x1241))
% 0.76/0.83 [125]~P29(x1251)+P29(f17(x1251))
% 0.76/0.83 [126]~P2(x1261)+P2(f17(x1261))
% 0.76/0.83 [127]~P3(x1271)+P3(f17(x1271))
% 0.76/0.83 [128]~P11(x1281)+P11(f17(x1281))
% 0.76/0.83 [129]~P4(x1291)+P4(f17(x1291))
% 0.76/0.83 [130]~P29(x1301)+P33(f17(x1301))
% 0.76/0.83 [131]~P29(x1311)+P35(f17(x1311))
% 0.76/0.83 [132]~P30(x1321)+P41(f17(x1321))
% 0.76/0.83 [133]~P31(x1331)+P7(f17(x1331))
% 0.76/0.83 [134]~P3(x1341)+P18(f17(x1341))
% 0.76/0.83 [135]~P30(x1351)+P30(f17(x1351))
% 0.76/0.83 [136]~P37(x1361)+P37(f17(x1361))
% 0.76/0.83 [137]~P2(x1371)+P36(f17(x1371))
% 0.76/0.83 [138]~P1(x1381)+P34(f17(x1381))
% 0.76/0.83 [139]~P30(x1391)+P20(f17(x1391))
% 0.76/0.83 [140]~P29(x1401)+P39(f17(x1401))
% 0.76/0.83 [141]~P28(x1411)+P9(f17(x1411))
% 0.76/0.83 [142]~P37(x1421)+P38(f17(x1421))
% 0.76/0.83 [143]~P30(x1431)+P19(f17(x1431))
% 0.76/0.83 [144]~P30(x1441)+P32(f17(x1441))
% 0.76/0.83 [145]~P31(x1451)+P8(f17(x1451))
% 0.76/0.83 [146]~P1(x1461)+P12(f17(x1461))
% 0.76/0.83 [147]~P1(x1471)+P27(f17(x1471))
% 0.76/0.83 [148]~P37(x1481)+P24(f17(x1481))
% 0.76/0.83 [149]~P37(x1491)+P25(f17(x1491))
% 0.76/0.83 [150]~P30(x1501)+P21(f17(x1501))
% 0.76/0.83 [151]~P11(x1511)+P13(f17(x1511))
% 0.76/0.83 [152]~P1(x1521)+P42(f17(x1521))
% 0.76/0.83 [153]~P11(x1531)+P22(f17(x1531))
% 0.76/0.83 [154]~P17(x1541)+P15(f17(x1541))
% 0.76/0.83 [155]~P17(x1551)+P16(f17(x1551))
% 0.76/0.83 [156]~P28(x1561)+P40(f17(x1561))
% 0.76/0.83 [157]~P28(x1571)+P28(f17(x1571))
% 0.76/0.83 [158]~P17(x1581)+P17(f17(x1581))
% 0.76/0.83 [160]~P41(x1601)+~E(f3(x1601),f8(x1601))
% 0.76/0.83 [162]~P18(x1621)+E(f9(f8(x1621),x1621),f8(x1621))
% 0.76/0.83 [163]~P25(x1631)+E(f9(f8(x1631),x1631),f8(x1631))
% 0.76/0.83 [164]~P24(x1641)+E(f4(f8(x1641),x1641),f8(x1641))
% 0.76/0.83 [165]~P37(x1651)+E(f4(f3(x1651),x1651),f3(x1651))
% 0.76/0.83 [177]~P3(x1771)+E(f9(f8(f17(x1771)),f17(x1771)),f8(f17(x1771)))
% 0.76/0.83 [226]~P23(x2261)+E(f11(f8(x2261),f8(x2261),x2261),f8(x2261))
% 0.76/0.83 [240]~P4(x2401)+E(f13(f8(x2401),f8(f17(x2401)),x2401),f8(f17(x2401)))
% 0.76/0.83 [250]~P31(x2501)+E(f14(f8(f17(x2501)),f8(f17(x2501)),x2501),f8(f17(x2501)))
% 0.76/0.83 [367]~P38(x3671)+E(f11(f10(f8(x3671),f8(x3671),x3671),f10(f8(x3671),f8(x3671),x3671),x3671),f8(x3671))
% 0.76/0.83 [180]~P30(x1802)+P5(x1801,x1801,x1802)
% 0.76/0.83 [181]~P14(x1812)+E(f10(x1811,x1811,x1812),x1811)
% 0.76/0.83 [182]~P3(x1822)+E(f7(x1821,x1821,x1822),f8(x1822))
% 0.76/0.83 [184]~P18(x1842)+E(f7(x1841,x1841,x1842),f8(x1842))
% 0.76/0.83 [185]~P7(x1852)+E(f5(x1851,x1851,x1852),f8(x1852))
% 0.76/0.83 [186]~P30(x1862)+P5(x1861,f8(x1862),x1862)
% 0.76/0.83 [187]~P30(x1871)+P5(f3(x1871),x1872,x1871)
% 0.76/0.83 [173]~P18(x1732)+E(f9(f9(x1731,x1732),x1732),x1731)
% 0.76/0.83 [174]~P10(x1742)+E(f9(f9(x1741,x1742),x1742),x1741)
% 0.76/0.83 [178]~P24(x1782)+E(f4(f9(x1781,x1782),x1782),f4(x1781,x1782))
% 0.76/0.83 [179]~P24(x1792)+E(f4(f4(x1791,x1792),x1792),f4(x1791,x1792))
% 0.76/0.83 [188]~P11(x1882)+E(f11(x1881,f8(x1882),x1882),x1881)
% 0.76/0.83 [189]~P30(x1892)+E(f11(x1891,f8(x1892),x1892),x1891)
% 0.76/0.83 [190]~P22(x1902)+E(f11(x1901,f8(x1902),x1902),x1901)
% 0.76/0.83 [191]~P30(x1912)+E(f10(x1911,f3(x1912),x1912),x1911)
% 0.76/0.83 [192]~P21(x1922)+E(f10(x1921,f3(x1922),x1922),x1921)
% 0.76/0.83 [193]~P18(x1932)+E(f7(x1931,f8(x1932),x1932),x1931)
% 0.76/0.83 [194]~P7(x1942)+E(f6(x1941,f3(x1942),x1942),x1941)
% 0.76/0.83 [195]~P7(x1952)+E(f5(x1951,f8(x1952),x1952),x1951)
% 0.76/0.83 [196]~P30(x1961)+E(f2(f3(x1961),x1962,x1961),x1962)
% 0.76/0.83 [197]~P11(x1971)+E(f11(f8(x1971),x1972,x1971),x1972)
% 0.76/0.83 [199]~P30(x1991)+E(f11(f8(x1991),x1992,x1991),x1992)
% 0.76/0.83 [200]~P22(x2001)+E(f11(f8(x2001),x2002,x2001),x2002)
% 0.76/0.83 [202]~P30(x2021)+E(f10(f3(x2021),x2022,x2021),x2022)
% 0.76/0.83 [203]~P19(x2031)+E(f10(f3(x2031),x2032,x2031),x2032)
% 0.76/0.83 [204]~P21(x2041)+E(f10(f3(x2041),x2042,x2041),x2042)
% 0.76/0.83 [206]~P35(x2062)+E(f10(x2061,f8(x2062),x2062),f8(x2062))
% 0.76/0.83 [207]~P30(x2072)+E(f10(x2071,f8(x2072),x2072),f8(x2072))
% 0.76/0.83 [208]~P34(x2082)+E(f10(x2081,f8(x2082),x2082),f8(x2082))
% 0.76/0.83 [210]~P26(x2102)+E(f10(x2101,f8(x2102),x2102),f8(x2102))
% 0.76/0.83 [211]~P7(x2112)+E(f6(x2111,f8(x2112),x2112),f8(x2112))
% 0.76/0.83 [212]~P7(x2122)+E(f5(x2121,f3(x2122),x2122),f8(x2122))
% 0.76/0.83 [213]~P35(x2131)+E(f10(f8(x2131),x2132,x2131),f8(x2131))
% 0.76/0.83 [215]~P30(x2151)+E(f10(f8(x2151),x2152,x2151),f8(x2151))
% 0.76/0.83 [216]~P34(x2161)+E(f10(f8(x2161),x2162,x2161),f8(x2161))
% 0.76/0.83 [218]~P26(x2181)+E(f10(f8(x2181),x2182,x2181),f8(x2181))
% 0.76/0.83 [219]~P7(x2191)+E(f6(f8(x2191),x2192,x2191),f8(x2191))
% 0.76/0.83 [220]~P21(x2201)+E(f15(f3(x2201),x2202,x2201),f3(x2201))
% 0.76/0.83 [221]~P7(x2211)+E(f5(f8(x2211),x2212,x2211),f8(x2211))
% 0.76/0.83 [224]~P1(x2241)+E(f2(f8(x2241),x2242,x2241),f8(f17(x2241)))
% 0.76/0.83 [225]~P29(x2251)+E(f2(f8(x2251),x2252,x2251),f8(f17(x2251)))
% 0.76/0.83 [227]~P18(x2271)+E(f7(f8(x2271),x2272,x2271),f9(x2272,x2271))
% 0.76/0.83 [230]~P11(x2302)+E(f11(x2301,f8(f17(x2302)),f17(x2302)),x2301)
% 0.76/0.83 [231]~P3(x2312)+E(f7(x2311,f8(f17(x2312)),f17(x2312)),x2311)
% 0.76/0.83 [232]~P11(x2321)+E(f11(f8(f17(x2321)),x2322,f17(x2321)),x2322)
% 0.76/0.83 [235]~P18(x2352)+E(f11(x2351,f9(x2351,x2352),x2352),f8(x2352))
% 0.76/0.83 [236]~P3(x2362)+E(f11(f9(x2361,x2362),x2361,x2362),f8(x2362))
% 0.76/0.83 [238]~P18(x2382)+E(f11(f9(x2381,x2382),x2381,x2382),f8(x2382))
% 0.76/0.83 [239]~P1(x2392)+E(f10(x2391,f8(f17(x2392)),f17(x2392)),f8(f17(x2392)))
% 0.76/0.83 [241]~P1(x2411)+E(f10(f8(f17(x2411)),x2412,f17(x2411)),f8(f17(x2411)))
% 0.76/0.83 [246]~P3(x2461)+E(f7(f8(f17(x2461)),x2462,f17(x2461)),f9(x2462,f17(x2461)))
% 0.76/0.83 [282]~P29(x2822)+E(f10(f9(x2821,x2822),f9(x2821,x2822),x2822),f10(x2821,x2821,x2822))
% 0.76/0.83 [283]~P37(x2832)+E(f10(f4(x2831,x2832),f4(x2831,x2832),x2832),f10(x2831,x2831,x2832))
% 0.76/0.83 [318]~P31(x3181)+P5(f2(f8(x3181),x3182,x3181),f8(f17(x3181)),f17(x3181))
% 0.76/0.83 [510]~P31(x5102)+P6(x5101,f8(f17(x5102)),f8(f17(x5102)),x5101,x5102)
% 0.76/0.83 [511]~P31(x5111)+P6(f8(f17(x5111)),x5112,f8(f17(x5111)),f8(f17(x5111)),x5111)
% 0.76/0.83 [515]~P31(x5151)+P6(f11(f10(f8(f17(x5151)),x5152,f17(x5151)),f8(f17(x5151)),f17(x5151)),x5152,f8(f17(x5151)),f8(f17(x5151)),x5151)
% 0.76/0.83 [516]~P31(x5161)+P6(f11(f10(f8(f17(x5161)),f8(f17(x5161)),f17(x5161)),x5162,f17(x5161)),f8(f17(x5161)),f8(f17(x5161)),x5162,x5161)
% 0.76/0.83 [228]~P1(x2281)+E(f12(f8(f17(x2281)),x2282,x2281),f8(x2281))
% 0.76/0.83 [229]~P29(x2291)+E(f12(f8(f17(x2291)),x2292,x2291),f8(x2291))
% 0.76/0.83 [233]~P1(x2332)+E(f2(x2331,f8(f17(x2332)),x2332),f8(f17(x2332)))
% 0.76/0.83 [234]~P29(x2342)+E(f2(x2341,f8(f17(x2342)),x2342),f8(f17(x2342)))
% 0.76/0.83 [255]~P9(x2551)+E(f10(f9(f3(x2551),x2551),x2552,x2551),f9(x2552,x2551))
% 0.76/0.83 [344]~P30(x3442)+E(f11(x3441,x3441,x3442),f10(f11(f3(x3442),f3(x3442),x3442),x3441,x3442))
% 0.76/0.83 [259]~P11(x2593)+E(f11(x2591,x2592,x2593),f11(x2592,x2591,x2593))
% 0.76/0.83 [261]~P30(x2613)+E(f11(x2611,x2612,x2613),f11(x2612,x2611,x2613))
% 0.76/0.83 [263]~P30(x2633)+E(f10(x2631,x2632,x2633),f10(x2632,x2631,x2633))
% 0.76/0.83 [264]~P31(x2643)+E(f14(x2641,x2642,x2643),f14(x2642,x2641,x2643))
% 0.76/0.83 [284]~P30(x2843)+P5(x2841,f10(x2842,x2841,x2843),x2843)
% 0.76/0.83 [285]~P30(x2853)+P5(x2851,f10(x2851,x2852,x2853),x2853)
% 0.76/0.83 [286]~P32(x2863)+P5(x2861,f10(x2861,x2862,x2863),x2863)
% 0.76/0.83 [296]~P31(x2963)+P5(f14(x2961,x2962,x2963),x2962,f17(x2963))
% 0.76/0.83 [297]~P31(x2973)+P5(f14(x2971,x2972,x2973),x2971,f17(x2973))
% 0.76/0.83 [271]~P3(x2713)+E(f11(x2711,f9(x2712,x2713),x2713),f7(x2711,x2712,x2713))
% 0.76/0.83 [272]~P18(x2723)+E(f11(x2721,f9(x2722,x2723),x2723),f7(x2721,x2722,x2723))
% 0.76/0.83 [273]~P9(x2733)+E(f11(x2731,f9(x2732,x2733),x2733),f7(x2731,x2732,x2733))
% 0.76/0.83 [274]~P18(x2743)+E(f7(x2741,f9(x2742,x2743),x2743),f11(x2741,x2742,x2743))
% 0.76/0.83 [279]~P31(x2793)+E(f5(x2791,f9(x2792,f17(x2793)),f17(x2793)),f5(x2791,x2792,f17(x2793)))
% 0.76/0.83 [280]~P36(x2802)+E(f10(f9(x2801,x2802),x2803,x2802),f10(x2801,f9(x2803,x2802),x2802))
% 0.76/0.83 [281]~P36(x2812)+E(f10(f9(x2811,x2812),f9(x2813,x2812),x2812),f10(x2811,x2813,x2812))
% 0.76/0.83 [287]~P18(x2873)+E(f11(f7(x2871,x2872,x2873),x2872,x2873),x2871)
% 0.76/0.83 [288]~P18(x2883)+E(f7(f11(x2881,x2882,x2883),x2882,x2883),x2881)
% 0.76/0.83 [289]~P7(x2893)+E(f6(f5(x2891,x2892,x2893),x2892,x2893),f8(x2893))
% 0.76/0.83 [290]~P7(x2903)+E(f5(f10(x2901,x2902,x2903),x2902,x2903),f8(x2903))
% 0.76/0.83 [291]~P7(x2913)+E(f5(f10(x2911,x2912,x2913),x2911,x2913),f8(x2913))
% 0.76/0.83 [307]~P3(x3073)+E(f9(f7(x3071,x3072,x3073),x3073),f7(x3072,x3071,x3073))
% 0.76/0.83 [315]~P3(x3152)+E(f11(f9(x3151,x3152),f11(x3153,x3151,x3152),x3152),x3153)
% 0.76/0.83 [316]~P18(x3162)+E(f11(f9(x3161,x3162),f11(x3161,x3163,x3162),x3162),x3163)
% 0.76/0.83 [319]~P36(x3193)+E(f10(x3191,f9(x3192,x3193),x3193),f9(f10(x3191,x3192,x3193),x3193))
% 0.76/0.83 [320]~P36(x3202)+E(f10(f9(x3201,x3202),x3203,x3202),f9(f10(x3201,x3203,x3202),x3202))
% 0.76/0.83 [321]~P37(x3212)+E(f15(f4(x3211,x3212),x3213,x3212),f4(f15(x3211,x3213,x3212),x3212))
% 0.76/0.83 [323]~P26(x3233)+E(f10(x3231,f9(x3232,x3233),x3233),f9(f10(x3231,x3232,x3233),x3233))
% 0.76/0.83 [325]~P26(x3252)+E(f10(f9(x3251,x3252),x3253,x3252),f9(f10(x3251,x3253,x3252),x3252))
% 0.76/0.83 [326]~P2(x3263)+E(f9(f2(x3261,x3262,x3263),f17(x3263)),f2(f9(x3261,x3263),x3262,x3263))
% 0.76/0.83 [329]~P14(x3293)+E(f10(x3291,f10(x3291,x3292,x3293),x3293),f10(x3291,x3292,x3293))
% 0.76/0.83 [330]~P7(x3303)+E(f5(f11(x3301,x3302,x3303),x3302,x3303),f5(x3301,x3302,x3303))
% 0.76/0.83 [331]~P7(x3313)+E(f5(f11(x3311,x3312,x3313),x3311,x3313),f5(x3312,x3311,x3313))
% 0.76/0.83 [332]~P7(x3323)+E(f5(f5(x3321,x3322,x3323),x3322,x3323),f5(x3321,x3322,x3323))
% 0.76/0.83 [334]~P18(x3342)+E(f11(f9(x3341,x3342),f9(x3343,x3342),x3342),f9(f11(x3343,x3341,x3342),x3342))
% 0.76/0.83 [335]~P3(x3352)+E(f11(f9(x3351,x3352),f9(x3353,x3352),x3352),f9(f11(x3351,x3353,x3352),x3352))
% 0.76/0.83 [336]~P37(x3362)+E(f10(f4(x3361,x3362),f4(x3363,x3362),x3362),f4(f10(x3361,x3363,x3362),x3362))
% 0.76/0.83 [337]~P3(x3372)+E(f7(f9(x3371,x3372),f9(x3373,x3372),x3372),f9(f7(x3371,x3373,x3372),x3372))
% 0.76/0.83 [340]~P31(x3403)+E(f6(x3401,f9(x3402,f17(x3403)),f17(x3403)),f9(f6(x3401,x3402,f17(x3403)),f17(x3403)))
% 0.76/0.83 [341]~P31(x3412)+E(f6(f9(x3411,f17(x3412)),x3413,f17(x3412)),f9(f6(x3411,x3413,f17(x3412)),f17(x3412)))
% 0.76/0.83 [342]~P31(x3422)+E(f5(f9(x3421,f17(x3422)),x3423,f17(x3422)),f9(f5(x3421,x3423,f17(x3422)),f17(x3422)))
% 0.76/0.83 [345]~P24(x3453)+E(f4(f7(x3451,x3452,x3453),x3453),f4(f7(x3452,x3451,x3453),x3453))
% 0.76/0.83 [358]~P29(x3582)+P5(f10(x3581,f8(x3582),x3582),f10(x3583,f8(x3582),x3582),x3582)
% 0.76/0.83 [359]~P29(x3591)+P5(f10(f8(x3591),x3592,x3591),f10(f8(x3591),x3593,x3591),x3591)
% 0.76/0.83 [384]~P21(x3843)+E(f10(f15(x3841,x3842,x3843),x3841,x3843),f10(x3841,f15(x3841,x3842,x3843),x3843))
% 0.76/0.83 [422]~P40(x4221)+E(f10(f15(f9(f3(x4221),x4221),x4222,x4221),f15(x4223,x4222,x4221),x4221),f15(f9(x4223,x4221),x4222,x4221))
% 0.76/0.83 [458]~P7(x4583)+E(f11(f10(x4581,f6(x4582,x4581,x4583),x4583),f5(x4582,x4581,x4583),x4583),x4582)
% 0.76/0.83 [459]~P7(x4593)+E(f11(f10(f6(x4591,x4592,x4593),x4592,x4593),f5(x4591,x4592,x4593),x4593),x4591)
% 0.76/0.83 [512]~P31(x5123)+P6(x5121,x5122,f6(x5121,x5122,f17(x5123)),f5(x5121,x5122,f17(x5123)),x5123)
% 0.76/0.83 [276]~P31(x2763)+E(f14(x2761,f9(x2762,f17(x2763)),x2763),f14(x2761,x2762,x2763))
% 0.76/0.83 [277]~P31(x2772)+E(f14(f9(x2771,f17(x2772)),x2773,x2772),f14(x2771,x2773,x2772))
% 0.76/0.83 [327]~P2(x3272)+E(f12(f9(x3271,f17(x3272)),x3273,x3272),f9(f12(x3271,x3273,x3272),x3272))
% 0.76/0.83 [328]~P18(x3282)+E(f11(x3281,f11(f9(x3281,x3282),x3283,x3282),x3282),x3283)
% 0.76/0.83 [333]~P2(x3333)+E(f2(x3331,f9(x3332,f17(x3333)),x3333),f9(f2(x3331,x3332,x3333),f17(x3333)))
% 0.76/0.83 [346]~P3(x3462)+E(f13(f9(x3461,x3462),f9(x3463,f17(x3462)),x3462),f9(f13(x3461,x3463,x3462),f17(x3462)))
% 0.76/0.83 [360]~P37(x3602)+E(f4(f15(f9(x3601,x3602),x3603,x3602),x3602),f4(f15(x3601,x3603,x3602),x3602))
% 0.76/0.83 [362]~P7(x3621)+E(f6(f10(f8(x3621),x3622,x3621),f10(f8(x3621),x3623,x3621),x3621),f8(x3621))
% 0.76/0.83 [396]~P24(x3962)+E(f4(f11(f4(x3961,x3962),f4(x3963,x3962),x3962),x3962),f11(f4(x3961,x3962),f4(x3963,x3962),x3962))
% 0.76/0.83 [404]~P30(x4043)+E(f11(x4041,f10(x4042,x4041,x4043),x4043),f10(f11(x4042,f3(x4043),x4043),x4041,x4043))
% 0.76/0.83 [405]~P30(x4053)+E(f11(f10(x4051,x4052,x4053),x4052,x4053),f10(f11(x4051,f3(x4053),x4053),x4052,x4053))
% 0.76/0.83 [416]~P8(x4163)+E(f5(f9(f5(x4161,x4162,x4163),x4163),x4162,x4163),f5(f9(x4161,x4163),x4162,x4163))
% 0.76/0.83 [457]~P7(x4573)+E(f11(f5(x4571,x4572,x4573),f10(f6(x4571,x4572,x4573),x4572,x4573),x4573),x4571)
% 0.76/0.83 [368]~P3(x3684)+E(f11(x3681,f11(x3682,x3683,x3684),x3684),f11(x3682,f11(x3681,x3683,x3684),x3684))
% 0.76/0.83 [369]~P11(x3694)+E(f11(x3691,f11(x3692,x3693,x3694),x3694),f11(x3692,f11(x3691,x3693,x3694),x3694))
% 0.76/0.83 [370]~P30(x3704)+E(f11(x3701,f11(x3702,x3703,x3704),x3704),f11(x3702,f11(x3701,x3703,x3704),x3704))
% 0.76/0.83 [371]~P30(x3714)+E(f10(x3711,f10(x3712,x3713,x3714),x3714),f10(x3712,f10(x3711,x3713,x3714),x3714))
% 0.76/0.83 [372]~P31(x3724)+E(f14(x3721,f14(x3722,x3723,x3724),x3724),f14(x3722,f14(x3721,x3723,x3724),x3724))
% 0.76/0.83 [373]~P1(x3733)+E(f2(f10(x3731,x3732,x3733),x3734,x3733),f2(x3731,f2(x3732,x3734,x3733),x3733))
% 0.76/0.83 [378]~P11(x3783)+E(f11(f11(x3781,x3782,x3783),x3784,x3783),f11(x3781,f11(x3782,x3784,x3783),x3783))
% 0.76/0.83 [379]~P30(x3793)+E(f11(f11(x3791,x3792,x3793),x3794,x3793),f11(x3791,f11(x3792,x3794,x3793),x3793))
% 0.76/0.83 [380]~P13(x3803)+E(f11(f11(x3801,x3802,x3803),x3804,x3803),f11(x3801,f11(x3802,x3804,x3803),x3803))
% 0.76/0.83 [381]~P1(x3813)+E(f12(f2(x3811,x3812,x3813),x3814,x3813),f10(x3811,f12(x3812,x3814,x3813),x3813))
% 0.76/0.83 [382]~P30(x3823)+E(f10(f10(x3821,x3822,x3823),x3824,x3823),f10(x3821,f10(x3822,x3824,x3823),x3823))
% 0.76/0.83 [383]~P12(x3833)+E(f10(f10(x3831,x3832,x3833),x3834,x3833),f10(x3831,f10(x3832,x3834,x3833),x3833))
% 0.76/0.83 [385]~P31(x3853)+E(f14(f14(x3851,x3852,x3853),x3854,x3853),f14(x3851,f14(x3852,x3854,x3853),x3853))
% 0.76/0.83 [386]~P30(x3863)+E(f11(f11(x3861,x3862,x3863),x3864,x3863),f11(f11(x3861,x3864,x3863),x3862,x3863))
% 0.76/0.83 [387]~P30(x3873)+E(f10(f10(x3871,x3872,x3873),x3874,x3873),f10(f10(x3871,x3874,x3873),x3872,x3873))
% 0.76/0.83 [413]~P31(x4133)+E(f6(f6(x4131,x4132,f17(x4133)),x4134,f17(x4133)),f6(x4131,f10(x4132,x4134,f17(x4133)),f17(x4133)))
% 0.76/0.83 [425]~P1(x4253)+E(f13(f10(x4251,x4252,x4253),f2(x4251,x4254,x4253),x4253),f2(x4251,f13(x4252,x4254,x4253),x4253))
% 0.76/0.83 [426]~P30(x4263)+E(f11(f10(x4261,x4262,x4263),f10(x4261,x4264,x4263),x4263),f10(x4261,f11(x4262,x4264,x4263),x4263))
% 0.76/0.83 [428]~P26(x4283)+E(f11(f10(x4281,x4282,x4283),f10(x4281,x4284,x4283),x4283),f10(x4281,f11(x4282,x4284,x4283),x4283))
% 0.76/0.83 [430]~P26(x4303)+E(f7(f10(x4301,x4302,x4303),f10(x4301,x4304,x4303),x4303),f10(x4301,f7(x4302,x4304,x4303),x4303))
% 0.76/0.83 [433]~P26(x4333)+E(f11(f10(x4331,x4332,x4333),f10(x4334,x4332,x4333),x4333),f10(f11(x4331,x4334,x4333),x4332,x4333))
% 0.76/0.83 [434]~P27(x4343)+E(f11(f10(x4341,x4342,x4343),f10(x4344,x4342,x4343),x4343),f10(f11(x4341,x4344,x4343),x4342,x4343))
% 0.76/0.83 [436]~P26(x4363)+E(f7(f10(x4361,x4362,x4363),f10(x4364,x4362,x4363),x4363),f10(f7(x4361,x4364,x4363),x4362,x4363))
% 0.76/0.83 [437]~P30(x4373)+E(f10(f15(x4371,x4372,x4373),f15(x4374,x4372,x4373),x4373),f15(f10(x4371,x4374,x4373),x4372,x4373))
% 0.76/0.83 [438]~P19(x4383)+E(f10(f15(x4381,x4382,x4383),f15(x4384,x4382,x4383),x4383),f15(f10(x4381,x4384,x4383),x4382,x4383))
% 0.76/0.83 [439]~P7(x4393)+E(f5(f10(x4391,x4392,x4393),f10(x4391,x4394,x4393),x4393),f10(x4391,f5(x4392,x4394,x4393),x4393))
% 0.76/0.83 [440]~P30(x4403)+E(f11(f10(x4401,x4402,x4403),f10(x4404,x4402,x4403),x4403),f10(f11(x4401,x4404,x4403),x4402,x4403))
% 0.76/0.83 [441]~P7(x4413)+E(f5(f10(x4411,x4412,x4413),f10(x4414,x4412,x4413),x4413),f10(f5(x4411,x4414,x4413),x4412,x4413))
% 0.76/0.83 [444]~P1(x4443)+E(f11(f2(x4441,x4442,x4443),f2(x4444,x4442,x4443),f17(x4443)),f2(f11(x4441,x4444,x4443),x4442,x4443))
% 0.76/0.83 [445]~P2(x4453)+E(f7(f2(x4451,x4452,x4453),f2(x4454,x4452,x4453),f17(x4453)),f2(f7(x4451,x4454,x4453),x4452,x4453))
% 0.76/0.83 [453]~P1(x4533)+E(f11(f10(x4531,x4532,f17(x4533)),f10(x4534,x4532,f17(x4533)),f17(x4533)),f10(f11(x4531,x4534,f17(x4533)),x4532,f17(x4533)))
% 0.76/0.83 [491]~P1(x4913)+E(f11(f2(x4911,x4912,x4913),f13(f8(x4913),f10(x4912,x4914,f17(x4913)),x4913),f17(x4913)),f10(x4912,f13(x4911,x4914,x4913),f17(x4913)))
% 0.76/0.83 [492]~P1(x4923)+E(f11(f2(x4921,x4922,x4923),f13(f8(x4923),f10(x4924,x4922,f17(x4923)),x4923),f17(x4923)),f10(f13(x4921,x4924,x4923),x4922,f17(x4923)))
% 0.76/0.83 [509]~P31(x5093)+E(f11(f10(x5091,f5(f6(x5092,x5091,f17(x5093)),x5094,f17(x5093)),f17(x5093)),f5(x5092,x5091,f17(x5093)),f17(x5093)),f5(x5092,f10(x5091,x5094,f17(x5093)),f17(x5093)))
% 0.76/0.83 [406]~P1(x4064)+E(f10(x4061,f2(x4062,x4063,x4064),f17(x4064)),f2(x4062,f10(x4061,x4063,f17(x4064)),x4064))
% 0.76/0.83 [407]~P1(x4073)+E(f10(f2(x4071,x4072,x4073),x4074,f17(x4073)),f2(x4071,f10(x4072,x4074,f17(x4073)),x4073))
% 0.76/0.83 [408]~P31(x4083)+E(f6(f2(x4081,x4082,x4083),x4084,f17(x4083)),f2(x4081,f6(x4082,x4084,f17(x4083)),x4083))
% 0.76/0.83 [409]~P31(x4093)+E(f5(f2(x4091,x4092,x4093),x4094,f17(x4093)),f2(x4091,f5(x4092,x4094,f17(x4093)),x4093))
% 0.76/0.83 [423]~P7(x4234)+E(f5(f11(x4231,f10(x4232,x4233,x4234),x4234),x4233,x4234),f5(x4231,x4233,x4234))
% 0.76/0.83 [424]~P7(x4244)+E(f5(f11(x4241,f10(x4242,x4243,x4244),x4244),x4242,x4244),f5(x4241,x4242,x4244))
% 0.76/0.83 [447]~P1(x4473)+E(f11(f12(x4471,x4472,x4473),f12(x4474,x4472,x4473),x4473),f12(f11(x4471,x4474,f17(x4473)),x4472,x4473))
% 0.76/0.83 [448]~P1(x4483)+E(f10(f12(x4481,x4482,x4483),f12(x4484,x4482,x4483),x4483),f12(f10(x4481,x4484,f17(x4483)),x4482,x4483))
% 0.76/0.83 [449]~P2(x4493)+E(f7(f12(x4491,x4492,x4493),f12(x4494,x4492,x4493),x4493),f12(f7(x4491,x4494,f17(x4493)),x4492,x4493))
% 0.76/0.83 [450]~P1(x4503)+E(f11(f2(x4501,x4502,x4503),f2(x4501,x4504,x4503),f17(x4503)),f2(x4501,f11(x4502,x4504,f17(x4503)),x4503))
% 0.76/0.83 [451]~P2(x4513)+E(f7(f2(x4511,x4512,x4513),f2(x4511,x4514,x4513),f17(x4513)),f2(x4511,f7(x4512,x4514,f17(x4513)),x4513))
% 0.76/0.83 [463]~P1(x4634)+E(f11(x4631,f10(x4632,f12(x4633,x4632,x4634),x4634),x4634),f12(f13(x4631,x4633,x4634),x4632,x4634))
% 0.76/0.83 [465]~P7(x4654)+E(f5(f10(x4651,f5(x4652,x4653,x4654),x4654),x4653,x4654),f5(f10(x4651,x4652,x4654),x4653,x4654))
% 0.76/0.83 [466]~P8(x4664)+E(f5(f7(x4661,f5(x4662,x4663,x4664),x4664),x4663,x4664),f5(f7(x4661,x4662,x4664),x4663,x4664))
% 0.76/0.83 [469]~P8(x4693)+E(f5(f7(f5(x4691,x4692,x4693),x4694,x4693),x4692,x4693),f5(f7(x4691,x4694,x4693),x4692,x4693))
% 0.76/0.83 [470]~P7(x4704)+E(f5(f11(x4701,f5(x4702,x4703,x4704),x4704),x4703,x4704),f5(f11(x4701,x4702,x4704),x4703,x4704))
% 0.76/0.83 [471]~P7(x4713)+E(f5(f11(f5(x4711,x4712,x4713),x4714,x4713),x4712,x4713),f5(f11(x4711,x4714,x4713),x4712,x4713))
% 0.76/0.83 [472]~P7(x4723)+E(f5(f10(f5(x4721,x4722,x4723),x4724,x4723),x4722,x4723),f5(f10(x4721,x4724,x4723),x4722,x4723))
% 0.76/0.83 [494]~P7(x4943)+E(f5(f11(f5(x4941,x4942,x4943),f5(x4944,x4942,x4943),x4943),x4942,x4943),f5(f11(x4941,x4944,x4943),x4942,x4943))
% 0.76/0.83 [495]~P7(x4953)+E(f5(f10(f5(x4951,x4952,x4953),f5(x4954,x4952,x4953),x4953),x4952,x4953),f5(f10(x4951,x4954,x4953),x4952,x4953))
% 0.76/0.83 [496]~P8(x4963)+E(f5(f7(f5(x4961,x4962,x4963),f5(x4964,x4962,x4963),x4963),x4962,x4963),f5(f7(x4961,x4964,x4963),x4962,x4963))
% 0.76/0.83 [504]~P7(x5043)+E(f11(f11(f10(x5041,f6(x5042,x5041,x5043),x5043),f5(x5042,x5041,x5043),x5043),x5044,x5043),f11(x5042,x5044,x5043))
% 0.76/0.83 [505]~P7(x5053)+E(f11(f11(f10(f6(x5051,x5052,x5053),x5052,x5053),f5(x5051,x5052,x5053),x5053),x5054,x5053),f11(x5051,x5054,x5053))
% 0.76/0.83 [473]~P30(x4733)+E(f11(f11(x4731,x4732,x4733),f11(x4734,x4735,x4733),x4733),f11(f11(x4731,x4734,x4733),f11(x4732,x4735,x4733),x4733))
% 0.76/0.83 [474]~P30(x4743)+E(f10(f10(x4741,x4742,x4743),f10(x4744,x4745,x4743),x4743),f10(f10(x4741,x4744,x4743),f10(x4742,x4745,x4743),x4743))
% 0.76/0.83 [475]~P3(x4753)+E(f11(f7(x4751,x4752,x4753),f7(x4754,x4755,x4753),x4753),f7(f11(x4751,x4754,x4753),f11(x4752,x4755,x4753),x4753))
% 0.76/0.83 [480]~P11(x4803)+E(f13(f11(x4801,x4802,x4803),f11(x4804,x4805,f17(x4803)),x4803),f11(f13(x4801,x4804,x4803),f13(x4802,x4805,x4803),f17(x4803)))
% 0.76/0.83 [481]~P3(x4813)+E(f13(f7(x4811,x4812,x4813),f7(x4814,x4815,f17(x4813)),x4813),f7(f13(x4811,x4814,x4813),f13(x4812,x4815,x4813),f17(x4813)))
% 0.76/0.83 [500]~P42(x5003)+E(f11(f10(x5001,x5002,x5003),f11(f10(x5004,x5002,x5003),x5005,x5003),x5003),f11(f10(f11(x5001,x5004,x5003),x5002,x5003),x5005,x5003))
% 0.76/0.83 [525]~P26(x5253)+E(f11(f11(f10(f7(x5251,x5252,x5253),f7(x5254,x5255,x5253),x5253),f10(f7(x5251,x5252,x5253),x5255,x5253),x5253),f10(x5252,f7(x5254,x5255,x5253),x5253),x5253),f7(f10(x5251,x5254,x5253),f10(x5252,x5255,x5253),x5253))
% 0.76/0.83 [507]~P36(x5073)+E(f11(f10(x5071,x5072,x5073),f11(f10(f7(x5074,x5071,x5073),x5072,x5073),x5075,x5073),x5073),f11(f10(x5074,x5072,x5073),x5075,x5073))
% 0.76/0.83 [166]~P25(x1662)+~E(f9(x1661,x1662),x1661)+E(x1661,f8(x1662))
% 0.76/0.83 [167]~P18(x1672)+~E(f9(x1671,x1672),f8(x1672))+E(x1671,f8(x1672))
% 0.76/0.83 [168]~P24(x1682)+~E(f4(x1681,x1682),f8(x1682))+E(x1681,f8(x1682))
% 0.76/0.83 [169]~P18(x1691)+~E(f9(x1692,x1691),f8(x1691))+E(f8(x1691),x1692)
% 0.76/0.83 [205]~P7(x2052)+E(f6(x2051,x2051,x2052),f3(x2052))+E(x2051,f8(x2052))
% 0.76/0.83 [222]~P29(x2222)+~P9(x2222)+E(f7(x2221,x2221,x2222),f8(x2222))
% 0.76/0.83 [244]~P23(x2442)+~E(f11(x2441,x2441,x2442),f8(x2442))+E(x2441,f8(x2442))
% 0.76/0.83 [249]~P30(x2492)+~P5(f8(x2492),x2491,x2492)+E(x2491,f8(x2492))
% 0.76/0.83 [223]~P29(x2232)+~P9(x2232)+E(f11(x2231,f8(x2232),x2232),x2231)
% 0.76/0.83 [175]~P18(x1753)+E(x1751,x1752)+~E(f9(x1751,x1753),f9(x1752,x1753))
% 0.76/0.83 [176]~P10(x1763)+E(x1761,x1762)+~E(f9(x1761,x1763),f9(x1762,x1763))
% 0.76/0.83 [242]~P3(x2423)+E(x2421,x2422)+~E(f7(x2421,x2422,x2423),f8(x2423))
% 0.76/0.83 [243]~P18(x2433)+E(x2431,x2432)+~E(f7(x2431,x2432,x2433),f8(x2433))
% 0.76/0.83 [245]~P39(x2452)+~E(f15(x2451,x2453,x2452),f8(x2452))+E(x2451,f8(x2452))
% 0.76/0.83 [247]~P37(x2473)+P5(x2471,x2472,x2473)+~E(f4(x2471,x2473),f4(x2472,x2473))
% 0.76/0.83 [257]~P18(x2573)+~E(f11(x2571,x2572,x2573),f8(x2573))+E(x2571,f9(x2572,x2573))
% 0.76/0.83 [258]~P18(x2582)+~E(f11(x2581,x2583,x2582),f8(x2582))+E(f9(x2581,x2582),x2583)
% 0.76/0.83 [275]~P7(x2753)+~P5(x2752,x2751,x2753)+E(f5(x2751,x2752,x2753),f8(x2753))
% 0.76/0.83 [278]~P7(x2783)+P5(x2781,x2782,x2783)+~E(f5(x2782,x2781,x2783),f8(x2783))
% 0.76/0.83 [292]~P28(x2923)+~P5(x2921,x2922,x2923)+P5(x2921,f9(x2922,x2923),x2923)
% 0.76/0.83 [293]~P37(x2933)+~P5(x2931,x2932,x2933)+P5(x2931,f4(x2932,x2933),x2933)
% 0.76/0.83 [294]~P28(x2942)+~P5(x2941,x2943,x2942)+P5(f9(x2941,x2942),x2943,x2942)
% 0.76/0.83 [295]~P37(x2952)+~P5(x2951,x2953,x2952)+P5(f4(x2951,x2952),x2953,x2952)
% 0.76/0.83 [310]~P37(x3103)+P5(x3101,x3102,x3103)+~P5(x3101,f4(x3102,x3103),x3103)
% 0.76/0.83 [311]~P28(x3113)+P5(x3111,x3112,x3113)+~P5(x3111,f9(x3112,x3113),x3113)
% 0.76/0.83 [312]~P37(x3123)+P5(x3121,x3122,x3123)+~P5(f4(x3121,x3123),x3122,x3123)
% 0.76/0.83 [313]~P28(x3133)+P5(x3131,x3132,x3133)+~P5(f9(x3131,x3133),x3132,x3133)
% 0.76/0.83 [256]~P4(x2562)+E(x2561,f8(x2562))+~E(f13(x2561,x2563,x2562),f8(f17(x2562)))
% 0.76/0.83 [265]~P4(x2652)+~E(f13(x2653,x2651,x2652),f8(f17(x2652)))+E(x2651,f8(f17(x2652)))
% 0.76/0.83 [266]~P31(x2662)+~E(f14(x2663,x2661,x2662),f8(f17(x2662)))+E(x2661,f8(f17(x2662)))
% 0.76/0.83 [267]~P31(x2672)+~E(f14(x2671,x2673,x2672),f8(f17(x2672)))+E(x2671,f8(f17(x2672)))
% 0.76/0.83 [298]~P7(x2982)+E(x2981,f8(x2982))+E(f6(f10(x2983,x2981,x2982),x2981,x2982),x2983)
% 0.76/0.83 [299]~P7(x2992)+E(x2991,f8(x2992))+E(f6(f10(x2991,x2993,x2992),x2991,x2992),x2993)
% 0.76/0.83 [349]~P7(x3493)+~P5(x3491,x3492,x3493)+E(f10(x3491,f6(x3492,x3491,x3493),x3493),x3492)
% 0.76/0.83 [350]~P7(x3503)+~P5(x3502,x3501,x3503)+E(f10(f6(x3501,x3502,x3503),x3502,x3503),x3501)
% 0.76/0.83 [356]~P8(x3563)+~P5(x3562,x3561,x3563)+E(f6(x3561,f9(x3562,x3563),x3563),f9(f6(x3561,x3562,x3563),x3563))
% 0.76/0.83 [357]~P8(x3572)+~P5(x3573,x3571,x3572)+E(f6(f9(x3571,x3572),x3573,x3572),f9(f6(x3571,x3573,x3572),x3572))
% 0.76/0.83 [361]~P31(x3612)+~P5(f2(f8(x3612),x3613,x3612),x3611,f17(x3612))+E(x3611,f8(f17(x3612)))
% 0.76/0.83 [366]~P31(x3663)+~P5(x3662,f8(f17(x3663)),f17(x3663))+P5(f2(x3661,x3662,x3663),f8(f17(x3663)),f17(x3663))
% 0.76/0.83 [398]~P7(x3982)+E(x3981,f8(x3982))+E(f6(f11(x3983,x3981,x3982),x3981,x3982),f11(f6(x3983,x3981,x3982),f3(x3982),x3982))
% 0.76/0.83 [399]~P7(x3992)+E(x3991,f8(x3992))+E(f6(f11(x3991,x3993,x3992),x3991,x3992),f11(f6(x3993,x3991,x3992),f3(x3992),x3992))
% 0.76/0.83 [442]~P38(x4422)+E(x4421,f8(x4422))+~E(f11(f10(x4423,x4423,x4422),f10(x4421,x4421,x4422),x4422),f8(x4422))
% 0.76/0.83 [443]~P38(x4432)+E(x4431,f8(x4432))+~E(f11(f10(x4431,x4431,x4432),f10(x4433,x4433,x4432),x4432),f8(x4432))
% 0.76/0.83 [514]~P31(x5142)+P6(f11(f10(x5143,x5141,f17(x5142)),f8(f17(x5142)),f17(x5142)),x5141,x5143,f8(f17(x5142)),x5142)+E(x5141,f8(f17(x5142)))
% 0.76/0.83 [343]~P31(x3432)+E(x3431,f8(f17(x3432)))+E(f14(x3431,f5(x3433,x3431,f17(x3432)),x3432),f14(x3433,x3431,x3432))
% 0.76/0.83 [483]~P29(x4832)+~E(f12(x4833,f9(x4831,x4832),x4832),f8(x4832))+P5(f13(x4831,f13(f3(x4832),f8(f17(x4832)),x4832),x4832),x4833,f17(x4832))
% 0.76/0.83 [484]~P29(x4842)+~E(f12(x4843,x4841,x4842),f8(x4842))+P5(f13(f9(x4841,x4842),f13(f3(x4842),f8(f17(x4842)),x4842),x4842),x4843,f17(x4842))
% 0.76/0.83 [497]~P29(x4973)+E(f12(x4971,f9(x4972,x4973),x4973),f8(x4973))+~P5(f13(x4972,f13(f3(x4973),f8(f17(x4973)),x4973),x4973),x4971,f17(x4973))
% 0.76/0.83 [503]~P29(x5033)+E(f12(x5031,x5032,x5033),f8(x5033))+~P5(f13(f9(x5032,x5033),f13(f3(x5033),f8(f17(x5033)),x5033),x5033),x5031,f17(x5033))
% 0.76/0.83 [301]~P15(x3014)+E(x3011,x3012)+~E(f11(x3013,x3011,x3014),f11(x3013,x3012,x3014))
% 0.76/0.83 [302]~P16(x3024)+E(x3021,x3022)+~E(f11(x3023,x3021,x3024),f11(x3023,x3022,x3024))
% 0.76/0.83 [303]~P3(x3034)+E(x3031,x3032)+~E(f7(x3033,x3033,x3034),f7(x3031,x3032,x3034))
% 0.76/0.83 [304]~P16(x3044)+E(x3041,x3042)+~E(f11(x3041,x3043,x3044),f11(x3042,x3043,x3044))
% 0.76/0.83 [306]~P3(x3063)+E(x3061,x3062)+~E(f7(x3061,x3062,x3063),f7(x3064,x3064,x3063))
% 0.76/0.83 [347]~P30(x3474)+~P5(x3471,x3473,x3474)+P5(x3471,f10(x3472,x3473,x3474),x3474)
% 0.76/0.83 [348]~P30(x3484)+~P5(x3481,x3482,x3484)+P5(x3481,f10(x3482,x3483,x3484),x3484)
% 0.76/0.83 [351]~P30(x3514)+~P5(x3511,x3513,f17(x3514))+P5(x3511,f2(x3512,x3513,x3514),f17(x3514))
% 0.76/0.83 [364]~P30(x3643)+P5(x3641,x3642,x3643)+~P5(f10(x3644,x3641,x3643),x3642,x3643)
% 0.76/0.83 [365]~P30(x3653)+P5(x3651,x3652,x3653)+~P5(f10(x3651,x3654,x3653),x3652,x3653)
% 0.76/0.83 [388]~P31(x3883)+~P5(x3881,f14(x3884,x3882,x3883),f17(x3883))+P5(x3881,x3882,f17(x3883))
% 0.76/0.83 [389]~P31(x3893)+~P5(x3891,f14(x3892,x3894,x3893),f17(x3893))+P5(x3891,x3892,f17(x3893))
% 0.76/0.83 [390]~P30(x3903)+~P5(f2(x3904,x3901,x3903),x3902,f17(x3903))+P5(x3901,x3902,f17(x3903))
% 0.76/0.83 [410]~P29(x4103)+~P5(x4101,x4104,x4103)+P5(f10(x4101,x4102,x4103),f10(x4104,x4102,x4103),x4103)
% 0.76/0.83 [411]~P29(x4113)+~P5(x4112,x4114,x4113)+P5(f10(x4111,x4112,x4113),f10(x4111,x4114,x4113),x4113)
% 0.76/0.83 [412]~P30(x4123)+~P5(x4121,x4124,x4123)+P5(f15(x4121,x4122,x4123),f15(x4124,x4122,x4123),x4123)
% 0.76/0.83 [314]~P1(x3142)+~E(f13(x3143,x3141,x3142),f2(x3144,x3141,x3142))+E(x3141,f8(f17(x3142)))
% 0.76/0.83 [339]~P31(x3392)+E(x3391,f8(x3392))+E(f5(x3393,f2(x3391,x3394,x3392),f17(x3392)),f5(x3393,x3394,f17(x3392)))
% 0.76/0.83 [355]~P3(x3553)+E(x3551,f9(x3552,x3553))+~E(f11(x3551,f11(x3554,x3552,x3553),x3553),x3554)
% 0.76/0.83 [363]~P7(x3633)+~P5(x3634,x3632,x3633)+E(f5(f5(x3631,x3632,x3633),x3634,x3633),f5(x3631,x3634,x3633))
% 0.76/0.83 [391]~P7(x3912)+E(x3911,f8(x3912))+E(f6(f10(x3913,x3911,x3912),f10(x3914,x3911,x3912),x3912),f6(x3913,x3914,x3912))
% 0.76/0.83 [392]~P7(x3922)+E(x3921,f8(x3922))+E(f6(f10(x3921,x3923,x3922),f10(x3921,x3924,x3922),x3922),f6(x3923,x3924,x3922))
% 0.76/0.83 [397]~P8(x3972)+~E(f5(x3971,x3973,x3972),f5(x3974,x3973,x3972))+E(f5(f9(x3971,x3972),x3973,x3972),f5(f9(x3974,x3972),x3973,x3972))
% 0.76/0.83 [421]~P7(x4213)+~P5(x4214,x4211,x4213)+E(f6(f10(x4211,x4212,x4213),x4214,x4213),f10(f6(x4211,x4214,x4213),x4212,x4213))
% 0.76/0.83 [452]~P1(x4522)+~E(f11(f2(x4523,x4521,x4522),f13(x4524,x4521,x4522),f17(x4522)),f8(f17(x4522)))+E(x4521,f8(f17(x4522)))
% 0.76/0.83 [460]~P7(x4603)+~P5(x4604,x4601,x4603)+E(f6(f15(x4601,x4602,x4603),f15(x4604,x4602,x4603),x4603),f15(f6(x4601,x4604,x4603),x4602,x4603))
% 0.76/0.83 [479]~P29(x4793)+~P9(x4793)+E(f11(f10(x4791,x4792,x4793),f10(x4791,x4794,x4793),x4793),f11(f10(x4791,x4794,x4793),f10(x4791,x4792,x4793),x4793))
% 0.76/0.83 [517]E(x5171,x5172)+~P31(x5173)+~P6(x5172,f8(f17(x5173)),x5174,x5171,x5173)
% 0.76/0.83 [519]~P31(x5192)+~P6(x5193,f8(f17(x5192)),x5191,x5194,x5192)+E(x5191,f8(f17(x5192)))
% 0.76/0.83 [520]~P31(x5202)+~P6(f8(f17(x5202)),x5203,x5204,x5201,x5202)+E(x5201,f8(f17(x5202)))
% 0.76/0.83 [521]~P31(x5212)+~P6(f8(f17(x5212)),x5213,x5211,x5214,x5212)+E(x5211,f8(f17(x5212)))
% 0.76/0.83 [476]~P7(x4762)+E(x4761,f8(x4762))+E(f6(f11(x4763,f10(x4764,x4761,x4762),x4762),x4761,x4762),f11(x4764,f6(x4763,x4761,x4762),x4762))
% 0.76/0.83 [477]~P7(x4772)+E(x4771,f8(x4772))+E(f6(f11(x4773,f10(x4771,x4774,x4772),x4772),x4771,x4772),f11(x4774,f6(x4773,x4771,x4772),x4772))
% 0.76/0.83 [300]~P4(x3004)+E(x3001,x3002)+~E(f13(x3003,x3001,x3004),f13(x3005,x3002,x3004))
% 0.76/0.83 [305]~P4(x3054)+E(x3051,x3052)+~E(f13(x3051,x3053,x3054),f13(x3052,x3055,x3054))
% 0.76/0.83 [417]~P3(x4173)+E(f11(x4171,x4172,x4173),x4174)+~E(f11(x4171,f11(x4175,x4172,x4173),x4173),f11(x4175,x4174,x4173))
% 0.76/0.83 [420]~P1(x4204)+E(x4201,f12(x4202,x4203,x4204))+~E(f11(x4202,f2(x4203,x4205,x4204),f17(x4204)),f13(x4201,x4205,x4204))
% 0.76/0.83 [522]~P31(x5223)+~P6(x5221,x5222,x5224,x5225,x5223)+E(f6(x5221,x5222,f17(x5223)),x5224)
% 0.76/0.83 [523]~P31(x5233)+~P6(x5231,x5232,x5235,x5234,x5233)+E(f5(x5231,x5232,f17(x5233)),x5234)
% 0.76/0.83 [524]~P31(x5244)+~P6(x5241,x5243,x5242,x5245,x5244)+E(x5241,f11(f10(x5242,x5243,f17(x5244)),x5245,f17(x5244)))
% 0.76/0.83 [526]~P31(x5263)+~P6(x5262,x5264,x5265,x5266,x5263)+P6(f2(x5261,x5262,x5263),x5264,f2(x5261,x5265,x5263),f2(x5261,x5266,x5263),x5263)
% 0.76/0.83 [501]~P36(x5014)+~E(f11(f10(x5013,x5015,x5014),x5011,x5014),f11(f10(x5012,x5015,x5014),x5016,x5014))+E(x5011,f11(f10(f7(x5012,x5013,x5014),x5015,x5014),x5016,x5014))
% 0.76/0.83 [502]~P36(x5023)+~E(f11(f10(x5021,x5024,x5023),x5025,x5023),f11(f10(x5022,x5024,x5023),x5026,x5023))+E(f11(f10(f7(x5021,x5022,x5023),x5024,x5023),x5025,x5023),x5026)
% 0.76/0.83 [248]~P29(x2482)+~P9(x2482)+~E(f11(x2483,x2481,x2482),x2483)+E(x2481,f8(x2482))
% 0.76/0.83 [251]~P29(x2513)+~P9(x2513)+E(x2511,x2512)+~E(f7(x2511,x2512,x2513),f8(x2513))
% 0.76/0.83 [253]~P33(x2532)+~E(f10(x2533,x2531,x2532),f8(x2532))+E(x2531,f8(x2532))+E(x2533,f8(x2532))
% 0.76/0.83 [254]~P35(x2542)+~E(f10(x2543,x2541,x2542),f8(x2542))+E(x2541,f8(x2542))+E(x2543,f8(x2542))
% 0.76/0.83 [317]~P29(x3173)+E(x3171,x3172)+~E(f10(x3171,x3171,x3173),f10(x3172,x3172,x3173))+E(x3171,f9(x3172,x3173))
% 0.76/0.83 [268]~P29(x2682)+E(x2681,f8(x2682))+~E(f2(x2681,x2683,x2682),f8(f17(x2682)))+E(x2683,f8(f17(x2682)))
% 0.76/0.83 [338]~P30(x3383)+~P5(x3381,x3384,x3383)+P5(x3381,x3382,x3383)+~P5(x3384,x3382,x3383)
% 0.76/0.83 [309]~P29(x3094)+~P9(x3094)+E(x3091,x3092)+~E(f11(x3093,x3091,x3094),f11(x3093,x3092,x3094))
% 0.76/0.83 [352]~P31(x3522)+~P5(x3523,x3524,f17(x3522))+P5(x3523,f2(x3521,x3524,x3522),f17(x3522))+E(x3521,f8(x3522))
% 0.76/0.83 [354]~P31(x3542)+~P5(x3543,x3544,f17(x3542))+P5(f2(x3541,x3543,x3542),x3544,f17(x3542))+E(x3541,f8(x3542))
% 0.76/0.83 [394]~P31(x3942)+~P5(x3943,f2(x3941,x3944,x3942),f17(x3942))+P5(x3943,x3944,f17(x3942))+E(x3941,f8(x3942))
% 0.76/0.83 [395]~P31(x3952)+~P5(f2(x3951,x3953,x3952),x3954,f17(x3952))+P5(x3953,x3954,f17(x3952))+E(x3951,f8(x3952))
% 0.76/0.83 [400]~P30(x4004)+~P5(x4001,x4003,x4004)+~P5(x4001,x4002,x4004)+P5(x4001,f11(x4002,x4003,x4004),x4004)
% 0.76/0.83 [401]~P28(x4014)+~P5(x4011,x4013,x4014)+~P5(x4011,x4012,x4014)+P5(x4011,f7(x4012,x4013,x4014),x4014)
% 0.76/0.83 [403]~P7(x4034)+~P5(x4031,x4033,x4034)+~P5(x4031,x4032,x4034)+P5(x4031,f5(x4032,x4033,x4034),x4034)
% 0.76/0.83 [415]~P31(x4154)+~P5(x4151,x4153,f17(x4154))+~P5(x4151,x4152,f17(x4154))+P5(x4151,f14(x4152,x4153,x4154),f17(x4154))
% 0.76/0.83 [419]~P7(x4193)+P5(x4191,x4192,x4193)+~P5(x4191,x4194,x4193)+~P5(x4191,f5(x4192,x4194,x4193),x4193)
% 0.76/0.83 [454]~P29(x4542)+P5(x4543,x4544,x4542)+~P5(f10(x4541,x4543,x4542),f10(x4541,x4544,x4542),x4542)+E(x4541,f8(x4542))
% 0.76/0.83 [455]~P29(x4552)+P5(x4553,x4554,x4552)+~P5(f10(x4553,x4551,x4552),f10(x4554,x4551,x4552),x4552)+E(x4551,f8(x4552))
% 0.76/0.83 [482]~P7(x4823)+~P5(x4822,x4824,x4823)+~P5(x4822,x4821,x4823)+E(f11(f6(x4821,x4822,x4823),f6(x4824,x4822,x4823),x4823),f6(f11(x4821,x4824,x4823),x4822,x4823))
% 0.76/0.83 [446]~P30(x4463)+~P5(x4462,x4465,x4463)+~P5(x4461,x4464,x4463)+P5(f10(x4461,x4462,x4463),f10(x4464,x4465,x4463),x4463)
% 0.76/0.83 [493]~P7(x4933)+~P5(x4935,x4932,x4933)+~P5(x4934,x4931,x4933)+E(f6(f10(x4931,x4932,x4933),f10(x4934,x4935,x4933),x4933),f10(f6(x4931,x4934,x4933),f6(x4932,x4935,x4933),x4933))
% 0.76/0.83 [488]~P7(x4883)+~E(f5(x4881,x4884,x4883),f5(x4885,x4884,x4883))+~E(f5(x4882,x4884,x4883),f5(x4886,x4884,x4883))+E(f5(f11(x4881,x4882,x4883),x4884,x4883),f5(f11(x4885,x4886,x4883),x4884,x4883))
% 0.76/0.83 [489]~P7(x4893)+~E(f5(x4891,x4894,x4893),f5(x4895,x4894,x4893))+~E(f5(x4892,x4894,x4893),f5(x4896,x4894,x4893))+E(f5(f10(x4891,x4892,x4893),x4894,x4893),f5(f10(x4895,x4896,x4893),x4894,x4893))
% 0.76/0.83 [490]~P8(x4903)+~E(f5(x4901,x4904,x4903),f5(x4905,x4904,x4903))+~E(f5(x4902,x4904,x4903),f5(x4906,x4904,x4903))+E(f5(f7(x4901,x4902,x4903),x4904,x4903),f5(f7(x4905,x4906,x4903),x4904,x4903))
% 0.76/0.83 [527]E(x5271,x5272)+~P6(x5274,x5275,x5276,x5271,x5273)+~P6(x5274,x5275,x5277,x5272,x5273)+~P31(x5273)
% 0.76/0.83 [528]E(x5281,x5282)+~P6(x5284,x5285,x5282,x5286,x5283)+~P6(x5284,x5285,x5281,x5287,x5283)+~P31(x5283)
% 0.76/0.83 [529]~P31(x5294)+~P6(x5291,x5292,x5298,x5297,x5294)+~P6(x5298,x5293,x5295,x5296,x5294)+P6(x5291,f10(x5292,x5293,f17(x5294)),x5295,f11(f10(x5292,x5296,f17(x5294)),x5297,f17(x5294)),x5294)
% 0.76/0.83 [462]~P7(x4623)+~P5(x4622,x4624,x4623)+~P5(x4622,x4621,x4623)+~P5(x4621,x4624,x4623)+P5(f6(x4621,x4622,x4623),f6(x4624,x4622,x4623),x4623)
% 0.76/0.83 [487]~P7(x4873)+~P5(x4874,x4871,x4873)+P5(x4871,x4872,x4873)+~P5(x4874,x4872,x4873)+~P5(f6(x4871,x4874,x4873),f6(x4872,x4874,x4873),x4873)
% 0.76/0.83 [461]~P29(x4614)+~P9(x4614)+E(x4611,x4612)+E(x4613,f8(x4614))+~E(f11(x4615,f10(x4613,x4611,x4614),x4614),f11(x4615,f10(x4613,x4612,x4614),x4614))
% 0.76/0.83 [499]~P29(x4995)+~P9(x4995)+E(x4991,x4992)+E(x4993,x4994)+~E(f11(f10(x4993,x4991,x4995),f10(x4994,x4992,x4995),x4995),f11(f10(x4993,x4992,x4995),f10(x4994,x4991,x4995),x4995))
% 0.76/0.83 [508]~P2(x5085)+~P32(x5085)+~P5(x5081,x5084,x5085)+~P5(x5081,f11(x5082,x5086,x5085),x5085)+P5(x5081,f11(f7(x5082,f10(x5083,x5084,x5085),x5085),x5086,x5085),x5085)
% 0.76/0.83 [513]~P2(x5134)+~P32(x5134)+~P5(x5131,x5135,x5134)+P5(x5131,f11(x5132,x5133,x5134),x5134)+~P5(x5131,f11(f7(x5132,f10(x5136,x5135,x5134),x5134),x5133,x5134),x5134)
% 0.76/0.83 [269]~P33(x2692)+~P41(x2692)+~P34(x2692)+~P20(x2692)+~E(f15(x2691,x2693,x2692),f8(x2692))+E(x2691,f8(x2692))
% 0.76/0.83 %EqnAxiom
% 0.76/0.83 [1]E(x11,x11)
% 0.76/0.83 [2]E(x22,x21)+~E(x21,x22)
% 0.76/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.76/0.83 [4]~E(x41,x42)+E(f17(x41),f17(x42))
% 0.76/0.83 [5]~E(x51,x52)+E(f11(x51,x53,x54),f11(x52,x53,x54))
% 0.76/0.83 [6]~E(x61,x62)+E(f11(x63,x61,x64),f11(x63,x62,x64))
% 0.76/0.83 [7]~E(x71,x72)+E(f11(x73,x74,x71),f11(x73,x74,x72))
% 0.76/0.83 [8]~E(x81,x82)+E(f2(x81,x83,x84),f2(x82,x83,x84))
% 0.76/0.83 [9]~E(x91,x92)+E(f2(x93,x91,x94),f2(x93,x92,x94))
% 0.76/0.83 [10]~E(x101,x102)+E(f2(x103,x104,x101),f2(x103,x104,x102))
% 0.76/0.83 [11]~E(x111,x112)+E(f10(x111,x113,x114),f10(x112,x113,x114))
% 0.76/0.83 [12]~E(x121,x122)+E(f10(x123,x121,x124),f10(x123,x122,x124))
% 0.76/0.83 [13]~E(x131,x132)+E(f10(x133,x134,x131),f10(x133,x134,x132))
% 0.76/0.83 [14]~E(x141,x142)+E(f13(x141,x143,x144),f13(x142,x143,x144))
% 0.76/0.83 [15]~E(x151,x152)+E(f13(x153,x151,x154),f13(x153,x152,x154))
% 0.76/0.83 [16]~E(x161,x162)+E(f13(x163,x164,x161),f13(x163,x164,x162))
% 0.76/0.83 [17]~E(x171,x172)+E(f8(x171),f8(x172))
% 0.76/0.83 [18]~E(x181,x182)+E(f15(x181,x183,x184),f15(x182,x183,x184))
% 0.76/0.83 [19]~E(x191,x192)+E(f15(x193,x191,x194),f15(x193,x192,x194))
% 0.76/0.83 [20]~E(x201,x202)+E(f15(x203,x204,x201),f15(x203,x204,x202))
% 0.76/0.83 [21]~E(x211,x212)+E(f6(x211,x213,x214),f6(x212,x213,x214))
% 0.76/0.83 [22]~E(x221,x222)+E(f6(x223,x221,x224),f6(x223,x222,x224))
% 0.76/0.83 [23]~E(x231,x232)+E(f6(x233,x234,x231),f6(x233,x234,x232))
% 0.76/0.83 [24]~E(x241,x242)+E(f7(x241,x243,x244),f7(x242,x243,x244))
% 0.76/0.83 [25]~E(x251,x252)+E(f7(x253,x251,x254),f7(x253,x252,x254))
% 0.76/0.83 [26]~E(x261,x262)+E(f7(x263,x264,x261),f7(x263,x264,x262))
% 0.76/0.83 [27]~E(x271,x272)+E(f5(x271,x273,x274),f5(x272,x273,x274))
% 0.76/0.83 [28]~E(x281,x282)+E(f5(x283,x281,x284),f5(x283,x282,x284))
% 0.76/0.83 [29]~E(x291,x292)+E(f5(x293,x294,x291),f5(x293,x294,x292))
% 0.76/0.83 [30]~E(x301,x302)+E(f9(x301,x303),f9(x302,x303))
% 0.76/0.83 [31]~E(x311,x312)+E(f9(x313,x311),f9(x313,x312))
% 0.76/0.83 [32]~E(x321,x322)+E(f3(x321),f3(x322))
% 0.76/0.83 [33]~E(x331,x332)+E(f12(x331,x333,x334),f12(x332,x333,x334))
% 0.76/0.83 [34]~E(x341,x342)+E(f12(x343,x341,x344),f12(x343,x342,x344))
% 0.76/0.83 [35]~E(x351,x352)+E(f12(x353,x354,x351),f12(x353,x354,x352))
% 0.76/0.83 [36]~E(x361,x362)+E(f4(x361,x363),f4(x362,x363))
% 0.76/0.83 [37]~E(x371,x372)+E(f4(x373,x371),f4(x373,x372))
% 0.76/0.83 [38]~E(x381,x382)+E(f14(x381,x383,x384),f14(x382,x383,x384))
% 0.76/0.83 [39]~E(x391,x392)+E(f14(x393,x391,x394),f14(x393,x392,x394))
% 0.76/0.83 [40]~E(x401,x402)+E(f14(x403,x404,x401),f14(x403,x404,x402))
% 0.76/0.83 [41]~P1(x411)+P1(x412)+~E(x411,x412)
% 0.76/0.83 [42]~P29(x421)+P29(x422)+~E(x421,x422)
% 0.76/0.83 [43]~P2(x431)+P2(x432)+~E(x431,x432)
% 0.76/0.83 [44]~P3(x441)+P3(x442)+~E(x441,x442)
% 0.76/0.83 [45]~P11(x451)+P11(x452)+~E(x451,x452)
% 0.76/0.83 [46]~P4(x461)+P4(x462)+~E(x461,x462)
% 0.76/0.83 [47]~P33(x471)+P33(x472)+~E(x471,x472)
% 0.76/0.83 [48]~P35(x481)+P35(x482)+~E(x481,x482)
% 0.76/0.83 [49]~P41(x491)+P41(x492)+~E(x491,x492)
% 0.76/0.83 [50]~P18(x501)+P18(x502)+~E(x501,x502)
% 0.76/0.83 [51]~P30(x511)+P30(x512)+~E(x511,x512)
% 0.76/0.83 [52]~P31(x521)+P31(x522)+~E(x521,x522)
% 0.76/0.83 [53]~P36(x531)+P36(x532)+~E(x531,x532)
% 0.76/0.83 [54]~P34(x541)+P34(x542)+~E(x541,x542)
% 0.76/0.83 [55]~P20(x551)+P20(x552)+~E(x551,x552)
% 0.76/0.83 [56]~P39(x561)+P39(x562)+~E(x561,x562)
% 0.76/0.83 [57]~P9(x571)+P9(x572)+~E(x571,x572)
% 0.76/0.83 [58]~P19(x581)+P19(x582)+~E(x581,x582)
% 0.76/0.83 [59]~P32(x591)+P32(x592)+~E(x591,x592)
% 0.76/0.83 [60]~P12(x601)+P12(x602)+~E(x601,x602)
% 0.76/0.83 [61]~P26(x611)+P26(x612)+~E(x611,x612)
% 0.76/0.83 [62]~P27(x621)+P27(x622)+~E(x621,x622)
% 0.76/0.83 [63]~P21(x631)+P21(x632)+~E(x631,x632)
% 0.76/0.83 [64]~P13(x641)+P13(x642)+~E(x641,x642)
% 0.76/0.83 [65]~P42(x651)+P42(x652)+~E(x651,x652)
% 0.76/0.83 [66]~P22(x661)+P22(x662)+~E(x661,x662)
% 0.76/0.83 [67]~P15(x671)+P15(x672)+~E(x671,x672)
% 0.76/0.84 [68]~P16(x681)+P16(x682)+~E(x681,x682)
% 0.76/0.84 [69]~P40(x691)+P40(x692)+~E(x691,x692)
% 0.76/0.84 [70]~P28(x701)+P28(x702)+~E(x701,x702)
% 0.76/0.84 [71]~P17(x711)+P17(x712)+~E(x711,x712)
% 0.76/0.84 [72]P5(x722,x723,x724)+~E(x721,x722)+~P5(x721,x723,x724)
% 0.76/0.84 [73]P5(x733,x732,x734)+~E(x731,x732)+~P5(x733,x731,x734)
% 0.76/0.84 [74]P5(x743,x744,x742)+~E(x741,x742)+~P5(x743,x744,x741)
% 0.76/0.84 [75]~P37(x751)+P37(x752)+~E(x751,x752)
% 0.76/0.84 [76]~P38(x761)+P38(x762)+~E(x761,x762)
% 0.76/0.84 [77]P6(x772,x773,x774,x775,x776)+~E(x771,x772)+~P6(x771,x773,x774,x775,x776)
% 0.76/0.84 [78]P6(x783,x782,x784,x785,x786)+~E(x781,x782)+~P6(x783,x781,x784,x785,x786)
% 0.76/0.84 [79]P6(x793,x794,x792,x795,x796)+~E(x791,x792)+~P6(x793,x794,x791,x795,x796)
% 0.76/0.84 [80]P6(x803,x804,x805,x802,x806)+~E(x801,x802)+~P6(x803,x804,x805,x801,x806)
% 0.76/0.84 [81]P6(x813,x814,x815,x816,x812)+~E(x811,x812)+~P6(x813,x814,x815,x816,x811)
% 0.76/0.84 [82]~P7(x821)+P7(x822)+~E(x821,x822)
% 0.76/0.84 [83]~P10(x831)+P10(x832)+~E(x831,x832)
% 0.76/0.84 [84]~P8(x841)+P8(x842)+~E(x841,x842)
% 0.76/0.84 [85]~P23(x851)+P23(x852)+~E(x851,x852)
% 0.76/0.84 [86]~P24(x861)+P24(x862)+~E(x861,x862)
% 0.76/0.84 [87]~P25(x871)+P25(x872)+~E(x871,x872)
% 0.76/0.84 [88]~P14(x881)+P14(x882)+~E(x881,x882)
% 0.76/0.84
% 0.76/0.84 %-------------------------------------------
% 0.76/0.84 cnf(530,plain,
% 0.76/0.84 ($false),
% 0.76/0.84 inference(scs_inference,[],[99,121,123,351]),
% 0.76/0.84 ['proof']).
% 0.76/0.84 % SZS output end Proof
% 0.76/0.84 % Total time :0.030000s
%------------------------------------------------------------------------------