TSTP Solution File: SWW182+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWW182+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:03:30 EDT 2022
% Result : Theorem 22.22s 5.75s
% Output : Proof 38.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWW182+1 : TPTP v8.1.0. Released v5.2.0.
% 0.14/0.15 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 5 18:45:32 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.53/0.61 ____ _
% 0.53/0.61 ___ / __ \_____(_)___ ________ __________
% 0.53/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.61
% 0.53/0.61 A Theorem Prover for First-Order Logic
% 0.53/0.61 (ePrincess v.1.0)
% 0.53/0.61
% 0.53/0.61 (c) Philipp Rümmer, 2009-2015
% 0.53/0.61 (c) Peter Backeman, 2014-2015
% 0.53/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.61 Bug reports to peter@backeman.se
% 0.53/0.61
% 0.53/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.61
% 0.53/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.78/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.67/1.77 Prover 0: Preprocessing ...
% 15.73/4.20 Prover 0: Warning: ignoring some quantifiers
% 16.17/4.32 Prover 0: Constructing countermodel ...
% 22.22/5.75 Prover 0: proved (5088ms)
% 22.22/5.75
% 22.22/5.75 No countermodel exists, formula is valid
% 22.22/5.75 % SZS status Theorem for theBenchmark
% 22.22/5.75
% 22.22/5.75 Generating proof ... Warning: ignoring some quantifiers
% 35.01/9.09 found it (size 18)
% 35.01/9.09
% 35.01/9.09 % SZS output start Proof for theBenchmark
% 35.01/9.09 Assumed formulas after preprocessing and simplification:
% 35.01/9.09 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = v15) & ~ (v11 = v10) & c_HOL_Obool_Obool__size(c_fTrue) = v0 & c_HOL_Obool_Obool__size(c_fFalse) = v0 & c_Power_Opower__class_Opower(tc_Int_Oint) = v7 & c_Power_Opower__class_Opower(tc_Nat_Onat) = v6 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v10) = v10 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v11 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v3 & c_Nat_Osize__class_Osize(tc_Nat_Onat, v0) = v0 & c_Nat_Onat_Onat__size(v0) = v0 & c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v8 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 & c_Nat_OSuc(v3) = v5 & c_Nat_OSuc(v0) = v3 & c_Polynomial_OpCons(t_a, v_a, v14) = v15 & tc_Polynomial_Opoly(t_a) = v13 & c_Groups_Ozero__class_Ozero(v13) = v14 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v10 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, v15, v_h) = v16 & hAPP(v8, v11) = v12 & hAPP(v6, v3) = v9 & hAPP(v1, v3) = v4 & hAPP(v1, v0) = v2 & class_Enum_Oenum(tc_HOL_Obool) & class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) & class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) & class_Divides_Oring__div(tc_Int_Oint) & class_Divides_Osemiring__div(tc_Int_Oint) & class_Divides_Osemiring__div(tc_Nat_Onat) & class_Rings_Oring__1(tc_Int_Oint) & class_Power_Opower(tc_Int_Oint) & class_Power_Opower(tc_Nat_Onat) & class_Rings_Osemiring__0(tc_Int_Oint) & class_Rings_Osemiring__0(tc_Nat_Onat) & class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) & class_Rings_Olinordered__semiring(tc_Int_Oint) & class_Rings_Olinordered__semiring(tc_Nat_Onat) & class_Rings_Olinordered__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) & class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) & class_Rings_Odvd(tc_Int_Oint) & class_Rings_Odvd(tc_Nat_Onat) & c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v11) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) & c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v3) & class_Groups_Ouminus(tc_HOL_Obool) & class_Groups_Ouminus(tc_Int_Oint) & class_Orderings_Oorder(tc_HOL_Obool) & class_Orderings_Oorder(tc_Int_Oint) & class_Orderings_Oorder(tc_Nat_Onat) & class_Orderings_Olinorder(tc_Int_Oint) & class_Orderings_Olinorder(tc_Nat_Onat) & class_Orderings_Oord(tc_HOL_Obool) & class_Orderings_Oord(tc_Int_Oint) & class_Orderings_Oord(tc_Nat_Onat) & class_Lattices_Oboolean__algebra(tc_HOL_Obool) & class_Orderings_Opreorder(tc_HOL_Obool) & class_Orderings_Opreorder(tc_Int_Oint) & class_Orderings_Opreorder(tc_Nat_Onat) & class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) & class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) & class_Rings_Olinordered__ring(tc_Int_Oint) & class_Rings_Oordered__comm__semiring(tc_Int_Oint) & class_Rings_Oordered__comm__semiring(tc_Nat_Onat) & class_Rings_Oordered__semiring(tc_Int_Oint) & class_Rings_Oordered__semiring(tc_Nat_Onat) & class_Rings_Oordered__ring(tc_Int_Oint) & class_Rings_Oordered__cancel__semiring(tc_Int_Oint) & class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) & class_Rings_Olinordered__semiring__1(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) & class_Groups_Ocomm__monoid__mult(tc_Int_Oint) & class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) & class_Groups_Omonoid__mult(tc_Int_Oint) & class_Groups_Omonoid__mult(tc_Nat_Onat) & class_Rings_Ozero__neq__one(tc_Int_Oint) & class_Rings_Ozero__neq__one(tc_Nat_Onat) & class_Rings_Oring(tc_Int_Oint) & class_Rings_Olinordered__idom(tc_Int_Oint) & class_Groups_Oordered__ab__group__add(tc_Int_Oint) & class_Groups_Oone(tc_Int_Oint) & class_Groups_Oone(tc_Nat_Onat) & class_Groups_Ogroup__add(tc_Int_Oint) & class_Rings_Ocomm__ring(tc_Int_Oint) & class_Groups_Oab__group__add(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Nat_Onat) & class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) & class_Rings_Ocomm__ring__1(tc_Int_Oint) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v11) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v10) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) & class_Rings_Oring__no__zero__divisors(tc_Int_Oint) & class_Rings_Ono__zero__divisors(tc_Int_Oint) & class_Rings_Ono__zero__divisors(tc_Nat_Onat) & class_Rings_Omult__zero(tc_Int_Oint) & class_Rings_Omult__zero(tc_Nat_Onat) & class_Rings_Ocomm__semiring(tc_Int_Oint) & class_Rings_Ocomm__semiring(tc_Nat_Onat) & class_Rings_Osemiring(tc_Int_Oint) & class_Rings_Osemiring(tc_Nat_Onat) & class_Rings_Olinordered__ring__strict(tc_Int_Oint) & class_Groups_Oab__semigroup__mult(tc_Int_Oint) & class_Groups_Oab__semigroup__mult(tc_Nat_Onat) & class_Rings_Ocomm__semiring__1(tc_Int_Oint) & class_Rings_Ocomm__semiring__1(tc_Nat_Onat) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) & class_Groups_Olinordered__ab__group__add(tc_Int_Oint) & class_Groups_Omonoid__add(tc_Int_Oint) & class_Groups_Omonoid__add(tc_Nat_Onat) & class_Groups_Ocomm__monoid__add(tc_Int_Oint) & class_Groups_Ocomm__monoid__add(tc_Nat_Onat) & class_Groups_Oab__semigroup__add(tc_Int_Oint) & class_Groups_Oab__semigroup__add(tc_Nat_Onat) & class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Ocancel__semigroup__add(tc_Int_Oint) & class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) & class_Int_Oring__char__0(tc_Int_Oint) & class_Rings_Oidom(tc_Int_Oint) & hBOOL(c_fTrue) & class_HOL_Oequal(tc_HOL_Obool) & class_HOL_Oequal(tc_Int_Oint) & class_HOL_Oequal(tc_Nat_Onat) & class_Groups_Ozero(tc_Int_Oint) & class_Groups_Ozero(tc_Nat_Onat) & class_Rings_Ocomm__semiring__0(t_a) & class_Rings_Ocomm__semiring__0(tc_Int_Oint) & class_Rings_Ocomm__semiring__0(tc_Nat_Onat) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) & ~ hBOOL(c_fFalse) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : (v33 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v22) | ~ (c_Groups_Oone__class_Oone(v19) = v23) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v29, v32) = v33) | ~ (c_Polynomial_Osynthetic__div(v19, v17, v18) = v28) | ~ (c_Polynomial_Opoly(v19, v17) = v30) | ~ (c_Polynomial_OpCons(v19, v31, v24) = v32) | ~ (c_Polynomial_OpCons(v19, v23, v24) = v25) | ~ (c_Polynomial_OpCons(v19, v22, v25) = v26) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v24) | ~ (hAPP(v30, v18) = v31) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v21, v26) = v27) | ~ class_Rings_Ocomm__ring__1(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v18) = v24) | ~ (c_Groups_Ominus__class_Ominus(v21, v19, v17) = v26) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v29, v30) = v31) | ~ (c_Groups_Oplus__class_Oplus(v21, v27, v28) = v29) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v25, v17) = v28) | ~ (hAPP(v23, v26) = v30) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v22, v18) = v23) | ~ class_RealVector_Oreal__normed__algebra(v21) | ? [v32] : ? [v33] : ? [v34] : (c_Groups_Ominus__class_Ominus(v21, v33, v34) = v31 & hAPP(v32, v19) = v33 & hAPP(v23, v17) = v34 & hAPP(v22, v20) = v32)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_If(v21, v28, v20, v29) = v30) | ~ (c_Polynomial_Opoly__rec(v21, v22, v20, v19, v17) = v29) | ~ (tc_Polynomial_Opoly(v22) = v26) | ~ (c_Groups_Ozero__class_Ozero(v26) = v27) | ~ (hAPP(v25, v27) = v28) | ~ (hAPP(v24, v30) = v31) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v19, v18) = v23) | ~ (hAPP(c_fequal, v17) = v25) | ~ class_Groups_Ozero(v22) | ? [v32] : (c_Polynomial_Opoly__rec(v21, v22, v20, v19, v32) = v31 & c_Polynomial_OpCons(v22, v18, v17) = v32)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v21 = v18 | ~ (c_Power_Opower__class_Opower(v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v23) | ~ (c_Groups_Oone__class_Oone(v19) = v24) | ~ (c_Polynomial_Oorder(v19, v17, v18) = v28) | ~ (c_Nat_OSuc(v28) = v29) | ~ (c_Polynomial_OpCons(v19, v24, v21) = v25) | ~ (c_Polynomial_OpCons(v19, v23, v25) = v26) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v22, v26) = v27) | ~ c_Rings_Odvd__class_Odvd(v20, v30, v18) | ~ class_Rings_Oidom(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v21 = v18 | ~ (c_Power_Opower__class_Opower(v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v23) | ~ (c_Groups_Oone__class_Oone(v19) = v24) | ~ (c_Polynomial_Oorder(v19, v17, v18) = v28) | ~ (c_Nat_OSuc(v28) = v29) | ~ (c_Polynomial_OpCons(v19, v24, v21) = v25) | ~ (c_Polynomial_OpCons(v19, v23, v25) = v26) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v22, v26) = v27) | ~ class_Rings_Oidom(v19) | ? [v31] : (hAPP(v27, v28) = v31 & c_Rings_Odvd__class_Odvd(v20, v31, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v29, v19) = v30) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v17) = v26) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v27) = v28) | ~ (hAPP(v23, v18) = v24) | ~ class_Rings_Oordered__ring(v22) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oplus__class_Oplus(v22, v32, v19) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v21) = v31 & ( ~ c_Orderings_Oord__class_Oless(v22, v33, v26) | c_Orderings_Oord__class_Oless(v22, v30, v17)) & ( ~ c_Orderings_Oord__class_Oless(v22, v30, v17) | c_Orderings_Oord__class_Oless(v22, v33, v26)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v29, v19) = v30) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v17) = v26) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v27) = v28) | ~ (hAPP(v23, v18) = v24) | ~ class_Rings_Oordered__ring(v22) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oplus__class_Oplus(v22, v32, v19) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v21) = v31 & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v33, v26) | c_Orderings_Oord__class_Oless__eq(v22, v30, v17)) & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v30, v17) | c_Orderings_Oord__class_Oless__eq(v22, v33, v26)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v29, v19) = v30) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v17) = v26) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v27) = v28) | ~ (hAPP(v23, v18) = v24) | ~ class_Rings_Oring(v22) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oplus__class_Oplus(v22, v32, v19) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v21) = v31 & ( ~ (v33 = v26) | v30 = v17) & ( ~ (v30 = v17) | v33 = v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v18, v21) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v29, v17) = v30) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v27) = v28) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Oordered__ring(v22) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oplus__class_Oplus(v22, v32, v17) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v18) = v31 & ( ~ c_Orderings_Oord__class_Oless(v22, v26, v33) | c_Orderings_Oord__class_Oless(v22, v19, v30)) & ( ~ c_Orderings_Oord__class_Oless(v22, v19, v30) | c_Orderings_Oord__class_Oless(v22, v26, v33)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v18, v21) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v29, v17) = v30) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v27) = v28) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Oordered__ring(v22) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oplus__class_Oplus(v22, v32, v17) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v18) = v31 & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v26, v33) | c_Orderings_Oord__class_Oless__eq(v22, v19, v30)) & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v30) | c_Orderings_Oord__class_Oless__eq(v22, v26, v33)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v18, v21) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v29, v17) = v30) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v27) = v28) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Oring(v22) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oplus__class_Oplus(v22, v32, v17) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v18) = v31 & ( ~ (v33 = v26) | v30 = v19) & ( ~ (v30 = v19) | v33 = v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v25) = v26) | ~ (c_Groups_Oplus__class_Oplus(v25, v29, v20) = v30) | ~ (tc_Polynomial_Opoly(v24) = v25) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v27, v17) = v29) | ~ (hAPP(v26, v22) = v27) | ~ c_Polynomial_Opdivmod__rel(v24, v23, v22, v21, v20) | ~ c_Polynomial_Opdivmod__rel(v24, v21, v19, v18, v17) | ~ class_Fields_Ofield(v24) | c_Polynomial_Opdivmod__rel(v24, v23, v28, v18, v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = v26 | ~ (c_Divides_Odiv__class_Omod(v22, v28, v20) = v29) | ~ (c_Divides_Odiv__class_Omod(v22, v25, v20) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v27, v17) = v28) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v27) | ~ class_Divides_Osemiring__div(v22) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Divides_Odiv__class_Omod(v22, v21, v20) = v30 & c_Divides_Odiv__class_Omod(v22, v19, v20) = v31 & c_Divides_Odiv__class_Omod(v22, v18, v20) = v32 & c_Divides_Odiv__class_Omod(v22, v17, v20) = v33 & ( ~ (v33 = v32) | ~ (v31 = v30)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v29 = v22 | ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Oone__class_Oone(v19) = v22) | ~ (c_Polynomial_Ocoeff(v19, v27) = v28) | ~ (c_Polynomial_OpCons(v19, v22, v23) = v24) | ~ (c_Polynomial_OpCons(v19, v18, v24) = v25) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v23) | ~ (hAPP(v28, v17) = v29) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v21, v25) = v26) | ~ class_Rings_Ocomm__semiring__1(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v21 = v18 | ~ (c_Power_Opower__class_Opower(v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v23) | ~ (c_Groups_Oone__class_Oone(v19) = v24) | ~ (c_Polynomial_Oorder(v19, v17, v18) = v28) | ~ (c_Polynomial_OpCons(v19, v24, v21) = v25) | ~ (c_Polynomial_OpCons(v19, v23, v25) = v26) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v22, v26) = v27) | ~ class_Rings_Oidom(v19) | c_Rings_Odvd__class_Odvd(v20, v29, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : (v21 = v18 | ~ (c_Power_Opower__class_Opower(v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v23) | ~ (c_Groups_Oone__class_Oone(v19) = v24) | ~ (c_Polynomial_Oorder(v19, v17, v18) = v28) | ~ (c_Polynomial_OpCons(v19, v24, v21) = v25) | ~ (c_Polynomial_OpCons(v19, v23, v25) = v26) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v22, v26) = v27) | ~ class_Rings_Oidom(v19) | ? [v30] : ? [v31] : (c_Nat_OSuc(v28) = v30 & hAPP(v27, v30) = v31 & ~ c_Rings_Odvd__class_Odvd(v20, v31, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v18) = v26) | ~ (c_Groups_Ominus__class_Ominus(v21, v19, v17) = v24) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v25, v28) = v29) | ~ (hAPP(v27, v17) = v28) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v26) = v27) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oring(v21) | ? [v30] : ? [v31] : ? [v32] : (c_Groups_Ominus__class_Ominus(v21, v30, v32) = v29 & hAPP(v31, v17) = v32 & hAPP(v23, v19) = v30 & hAPP(v22, v18) = v31)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v22) | ~ (c_Groups_Oone__class_Oone(v19) = v23) | ~ (c_Polynomial_Oorder(v19, v18, v17) = v28) | ~ (c_Polynomial_OpCons(v19, v23, v24) = v25) | ~ (c_Polynomial_OpCons(v19, v22, v25) = v26) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v24) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v21, v26) = v27) | ~ class_Rings_Oidom(v19) | c_Rings_Odvd__class_Odvd(v20, v29, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v22) = v23) | ~ (c_Groups_Oone__class_Oone(v19) = v22) | ~ (c_Groups_Otimes__class_Otimes(v19) = v21) | ~ (hAPP(v27, v17) = v28) | ~ (hAPP(v26, v28) = v29) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v21, v25) = v26) | ~ (hAPP(v20, v23) = v24) | ~ (hAPP(v20, v18) = v27) | ~ class_Rings_Oring__1(v19) | ? [v30] : ? [v31] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v30 & hAPP(v31, v17) = v29 & hAPP(v20, v30) = v31)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v28, v17) = v29) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v27, v20) = v28) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v18) = v27) | ~ class_Rings_Oordered__ring(v22) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v30 & c_Groups_Oplus__class_Oplus(v22, v32, v19) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v30) = v31 & ( ~ c_Orderings_Oord__class_Oless(v22, v33, v17) | c_Orderings_Oord__class_Oless(v22, v26, v29)) & ( ~ c_Orderings_Oord__class_Oless(v22, v26, v29) | c_Orderings_Oord__class_Oless(v22, v33, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v28, v17) = v29) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v27, v20) = v28) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v18) = v27) | ~ class_Rings_Oordered__ring(v22) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v30 & c_Groups_Oplus__class_Oplus(v22, v32, v19) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v30) = v31 & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v33, v17) | c_Orderings_Oord__class_Oless__eq(v22, v26, v29)) & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v26, v29) | c_Orderings_Oord__class_Oless__eq(v22, v33, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v28, v17) = v29) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v27, v20) = v28) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v18) = v27) | ~ class_Rings_Oordered__ring(v22) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Groups_Ominus__class_Ominus(v22, v18, v21) = v30 & c_Groups_Oplus__class_Oplus(v22, v32, v17) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v30) = v31 & ( ~ c_Orderings_Oord__class_Oless(v22, v26, v29) | c_Orderings_Oord__class_Oless(v22, v19, v33)) & ( ~ c_Orderings_Oord__class_Oless(v22, v19, v33) | c_Orderings_Oord__class_Oless(v22, v26, v29)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v28, v17) = v29) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v27, v20) = v28) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v18) = v27) | ~ class_Rings_Oordered__ring(v22) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Groups_Ominus__class_Ominus(v22, v18, v21) = v30 & c_Groups_Oplus__class_Oplus(v22, v32, v17) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v30) = v31 & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v26, v29) | c_Orderings_Oord__class_Oless__eq(v22, v19, v33)) & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v33) | c_Orderings_Oord__class_Oless__eq(v22, v26, v29)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v28, v17) = v29) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v27, v20) = v28) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v18) = v27) | ~ class_Rings_Oring(v22) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v30 & c_Groups_Oplus__class_Oplus(v22, v32, v19) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v30) = v31 & ( ~ (v33 = v17) | v29 = v26) & ( ~ (v29 = v26) | v33 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v28, v17) = v29) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26) | ~ (hAPP(v27, v20) = v28) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v18) = v27) | ~ class_Rings_Oring(v22) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Groups_Ominus__class_Ominus(v22, v18, v21) = v30 & c_Groups_Oplus__class_Oplus(v22, v32, v17) = v33 & hAPP(v31, v20) = v32 & hAPP(v23, v30) = v31 & ( ~ (v33 = v19) | v29 = v26) & ( ~ (v29 = v26) | v33 = v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v28 = v17 | ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Oone__class_Oone(v19) = v22) | ~ (c_Polynomial_Odegree(v19, v27) = v28) | ~ (c_Polynomial_OpCons(v19, v22, v23) = v24) | ~ (c_Polynomial_OpCons(v19, v18, v24) = v25) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v23) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v21, v25) = v26) | ~ class_Rings_Ocomm__semiring__1(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Divides_Odiv__class_Omod(v22, v27, v20) = v28) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v18, v20) = v24) | ~ (c_Groups_Otimes__class_Otimes(v22) = v25) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v25, v19) = v26) | ~ class_Divides_Osemiring__div(v22) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Divides_Odiv__class_Omod(v22, v32, v20) = v33 & c_Divides_Odiv__class_Omod(v22, v19, v20) = v29 & c_Divides_Odiv__class_Omod(v22, v17, v20) = v30 & hAPP(v31, v18) = v32 & hAPP(v25, v21) = v31 & ( ~ (v30 = v24) | ~ (v29 = v23) | v33 = v28))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Divides_Odiv__class_Omod(v22, v27, v20) = v28) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v17, v20) = v24) | ~ (c_Groups_Otimes__class_Otimes(v22) = v25) | ~ (hAPP(v26, v18) = v27) | ~ (hAPP(v25, v21) = v26) | ~ class_Divides_Osemiring__div(v22) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Divides_Odiv__class_Omod(v22, v32, v20) = v33 & c_Divides_Odiv__class_Omod(v22, v21, v20) = v29 & c_Divides_Odiv__class_Omod(v22, v18, v20) = v30 & hAPP(v31, v17) = v32 & hAPP(v25, v19) = v31 & ( ~ (v30 = v24) | ~ (v29 = v23) | v33 = v28))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Otimes__class_Otimes(v20) = v22) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v25, v27) = v28) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v23) | ~ (hAPP(v21, v18) = v26) | ~ class_Groups_Ocomm__monoid__mult(v20) | ? [v29] : ? [v30] : ? [v31] : (hAPP(v31, v17) = v28 & hAPP(v29, v18) = v30 & hAPP(v22, v19) = v29 & hAPP(v21, v30) = v31)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Otimes__class_Otimes(v20) = v22) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v25, v27) = v28) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v23) | ~ (hAPP(v21, v18) = v26) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v29] : ? [v30] : ? [v31] : (hAPP(v31, v17) = v28 & hAPP(v29, v18) = v30 & hAPP(v22, v19) = v29 & hAPP(v21, v30) = v31)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Polynomial_Odegree(v19, v18) = v25) | ~ (c_Polynomial_Odegree(v19, v17) = v26) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v25, v26) = v27) | ~ (c_Polynomial_Ocoeff(v19, v23) = v24) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (hAPP(v24, v27) = v28) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (c_Groups_Otimes__class_Otimes(v19) = v29 & c_Polynomial_Ocoeff(v19, v18) = v30 & c_Polynomial_Ocoeff(v19, v17) = v33 & hAPP(v33, v26) = v34 & hAPP(v32, v34) = v28 & hAPP(v30, v25) = v31 & hAPP(v29, v31) = v32)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (c_Polynomial_Odegree(v19, v17) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v22) | ~ (c_Polynomial_Ocoeff(v19, v18) = v23) | ~ (c_Polynomial_Ocoeff(v19, v17) = v26) | ~ (hAPP(v26, v21) = v27) | ~ (hAPP(v25, v27) = v28) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v24) = v25) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (c_Groups_Otimes__class_Otimes(v29) = v30 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v34 & c_Polynomial_Ocoeff(v19, v32) = v33 & tc_Polynomial_Opoly(v19) = v29 & hAPP(v33, v34) = v28 & hAPP(v31, v17) = v32 & hAPP(v30, v18) = v31)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v27) = v28) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v23, v17) = v26) | ~ class_Rings_Olinordered__semiring__1__strict(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless(v22, v19, v20) | c_Orderings_Oord__class_Oless(v22, v28, v20) | ? [v29] : ? [v30] : ? [v31] : (c_Groups_Oone__class_Oone(v22) = v31 & c_Groups_Oplus__class_Oplus(v22, v18, v17) = v30 & c_Groups_Ozero__class_Ozero(v22) = v29 & ( ~ (v31 = v30) | ~ c_Orderings_Oord__class_Oless__eq(v22, v29, v18) | ~ c_Orderings_Oord__class_Oless__eq(v22, v29, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v27) = v28) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v23, v17) = v26) | ~ class_Rings_Olinordered__semiring__1(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v20) | c_Orderings_Oord__class_Oless__eq(v22, v28, v20) | ? [v29] : ? [v30] : ? [v31] : (c_Groups_Oone__class_Oone(v22) = v31 & c_Groups_Oplus__class_Oplus(v22, v18, v17) = v30 & c_Groups_Ozero__class_Ozero(v22) = v29 & ( ~ (v31 = v30) | ~ c_Orderings_Oord__class_Oless__eq(v22, v29, v18) | ~ c_Orderings_Oord__class_Oless__eq(v22, v29, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v24) | ~ (c_Groups_Oplus__class_Oplus(v21, v23, v27) = v28) | ~ (c_Polynomial_Opcompose(v20, v18, v17) = v26) | ~ (c_Polynomial_OpCons(v20, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v17) = v25) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v29] : (c_Polynomial_Opcompose(v20, v29, v17) = v28 & c_Polynomial_OpCons(v20, v19, v18) = v29)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v26, v17) = v27) | ~ (c_Groups_Oplus__class_Oplus(v21, v24, v27) = v28) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v25) | ~ class_Rings_Osemiring(v21) | ? [v29] : ? [v30] : ? [v31] : (c_Groups_Oplus__class_Oplus(v21, v31, v17) = v28 & c_Groups_Oplus__class_Oplus(v21, v20, v18) = v29 & hAPP(v30, v19) = v31 & hAPP(v22, v29) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v24, v27) = v28) | ~ (c_Polynomial_Osmult(v20, v18, v19) = v24) | ~ (c_Polynomial_OpCons(v20, v25, v26) = v27) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v25) | ~ (hAPP(v23, v17) = v26) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v29] : (c_Polynomial_OpCons(v20, v18, v17) = v29 & hAPP(v23, v29) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v23, v27) = v28) | ~ (c_Polynomial_Osmult(v20, v19, v17) = v23) | ~ (c_Polynomial_OpCons(v20, v24, v26) = v27) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v24) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v22, v18) = v25) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v29] : ? [v30] : (c_Polynomial_OpCons(v20, v19, v18) = v29 & hAPP(v30, v17) = v28 & hAPP(v22, v29) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v27) = v28) | ~ (hAPP(v25, v17) = v27) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v26) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v29] : (hAPP(v26, v17) = v29 & hAPP(v25, v29) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v25) = v27) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v23, v27) = v28) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v26) | ~ (hAPP(v22, v18) = v24) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v29] : ? [v30] : (hAPP(v30, v25) = v28 & hAPP(v23, v19) = v29 & hAPP(v22, v29) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v25, v27) = v28) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v26) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (hAPP(v31, v17) = v32 & hAPP(v30, v32) = v28 & hAPP(v23, v18) = v29 & hAPP(v22, v29) = v30 & hAPP(v22, v19) = v31)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v25, v27) = v28) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v26) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v29] : ? [v30] : (hAPP(v29, v27) = v30 & hAPP(v23, v30) = v28 & hAPP(v22, v19) = v29)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v25, v27) = v28) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v26) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v29] : (hAPP(v26, v29) = v28 & hAPP(v25, v17) = v29)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v17) = v27) | ~ (hAPP(v25, v27) = v28) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v26) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (hAPP(v31, v17) = v32 & hAPP(v30, v32) = v28 & hAPP(v23, v19) = v29 & hAPP(v22, v29) = v30 & hAPP(v22, v18) = v31)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_HOL_Oequal__class_Oequal(v22) = v23) | ~ (c_HOL_Oequal__class_Oequal(v21) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v27, v17) = v28) | ~ (hAPP(v25, v18) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v27) | ~ class_HOL_Oequal(v21) | ~ class_Groups_Ozero(v21) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Polynomial_OpCons(v21, v20, v19) = v29 & c_Polynomial_OpCons(v21, v18, v17) = v31 & hAPP(v30, v31) = v32 & hAPP(v23, v29) = v30 & ( ~ hBOOL(v32) | (hBOOL(v28) & hBOOL(v26))) & ( ~ hBOOL(v28) | ~ hBOOL(v26) | hBOOL(v32)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_HOL_Oequal__class_Oequal(v20) = v21) | ~ (c_HOL_Oequal__class_Oequal(v19) = v24) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ (c_Groups_Ozero__class_Ozero(v19) = v25) | ~ (hAPP(v26, v18) = v27) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v17) = v28) | ~ (hAPP(v21, v22) = v23) | ~ class_HOL_Oequal(v19) | ~ class_Groups_Ozero(v19) | ? [v29] : ? [v30] : (c_Polynomial_OpCons(v19, v18, v17) = v29 & hAPP(v23, v29) = v30 & ( ~ hBOOL(v30) | (hBOOL(v28) & hBOOL(v27))) & ( ~ hBOOL(v28) | ~ hBOOL(v27) | hBOOL(v30)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_HOL_Oequal__class_Oequal(v20) = v21) | ~ (c_HOL_Oequal__class_Oequal(v19) = v23) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ (c_Groups_Ozero__class_Ozero(v19) = v25) | ~ (hAPP(v27, v22) = v28) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v21, v17) = v27) | ~ class_HOL_Oequal(v19) | ~ class_Groups_Ozero(v19) | ? [v29] : ? [v30] : ? [v31] : (c_Polynomial_OpCons(v19, v18, v17) = v29 & hAPP(v30, v22) = v31 & hAPP(v21, v29) = v30 & ( ~ hBOOL(v31) | (hBOOL(v28) & hBOOL(v26))) & ( ~ hBOOL(v28) | ~ hBOOL(v26) | hBOOL(v31)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v24, v26) = v27) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v25) | ~ class_Rings_Oring(v21) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Groups_Ominus__class_Ominus(v21, v20, v18) = v30 & c_Groups_Ominus__class_Ominus(v21, v19, v17) = v28 & c_Groups_Oplus__class_Oplus(v21, v29, v32) = v27 & hAPP(v31, v17) = v32 & hAPP(v23, v28) = v29 & hAPP(v22, v30) = v31)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v24, v26) = v27) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v25) | ~ class_RealVector_Oreal__normed__algebra(v21) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (c_Groups_Ominus__class_Ominus(v21, v20, v18) = v28 & c_Groups_Ominus__class_Ominus(v21, v19, v17) = v30 & c_Groups_Oplus__class_Oplus(v21, v33, v34) = v27 & c_Groups_Oplus__class_Oplus(v21, v31, v32) = v33 & hAPP(v29, v30) = v31 & hAPP(v29, v17) = v32 & hAPP(v25, v30) = v34 & hAPP(v22, v28) = v29)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v22, v25) = v26) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v26, v17) = v27) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v21, v23) = v24) | ~ class_Rings_Odvd(v20) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v27) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ class_Rings_Ocomm__ring(v20) | ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v22, v17) = v28 & c_Rings_Odvd__class_Odvd(v20, v19, v28))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v22, v25) = v26) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v26, v17) = v27) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v21, v23) = v24) | ~ class_Rings_Odvd(v20) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ class_Rings_Ocomm__ring(v20) | c_Rings_Odvd__class_Odvd(v20, v19, v27) | ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v22, v17) = v28 & ~ c_Rings_Odvd__class_Odvd(v20, v19, v28))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v17, v18) = v24) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v22) | ~ (hAPP(v26, v21) = v27) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v25) = v26) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Odivision__ring(v19) | ? [v28] : ? [v29] : (c_Groups_Ominus__class_Ominus(v19, v20, v21) = v29 & c_Groups_Ozero__class_Ozero(v19) = v28 & (v29 = v27 | v28 = v18 | v28 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v20) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v23, v17) = v26) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v21, v24) = v25) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v28] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v28 & hAPP(v23, v28) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Otimes__class_Otimes(v20) = v23) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v18) = v24) | ~ (hAPP(v22, v17) = v26) | ~ (hAPP(v21, v19) = v22) | ~ class_Groups_Omonoid__mult(v20) | ? [v28] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v28 & hAPP(v22, v28) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v24) | ~ (hAPP(v26, v21) = v27) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v25) = v26) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Odivision__ring(v19) | ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(v19, v20, v21) = v29 & c_Groups_Ozero__class_Ozero(v19) = v28 & (v29 = v27 | v28 = v18 | v28 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v23) | ~ (hAPP(v26, v21) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v25) = v26) | ~ (hAPP(v22, v23) = v24) | ~ class_Fields_Ofield(v19) | ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(v19, v20, v21) = v29 & c_Groups_Ozero__class_Ozero(v19) = v28 & (v29 = v27 | v28 = v18 | v28 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Polynomial_Omonom(v21, v20, v19) = v24) | ~ (c_Polynomial_Omonom(v21, v18, v17) = v26) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v23, v24) = v25) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Otimes__class_Otimes(v21) = v28 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v31 & c_Polynomial_Omonom(v21, v30, v31) = v27 & hAPP(v29, v18) = v30 & hAPP(v28, v20) = v29)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v25, v26) = v27) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v17) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v24) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v21) | ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v21, v28, v29) = v30 & hAPP(v24, v17) = v29 & hAPP(v23, v19) = v28 & ( ~ (v30 = v27) | v20 = v18 | v19 = v17) & (v30 = v27 | ( ~ (v20 = v18) & ~ (v19 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v25, v26) = v27) | ~ (hAPP(v24, v18) = v26) | ~ (hAPP(v23, v17) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v21) | ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v21, v28, v29) = v30 & hAPP(v24, v17) = v29 & hAPP(v23, v18) = v28 & ( ~ (v30 = v27) | v20 = v19 | v18 = v17) & (v30 = v27 | ( ~ (v20 = v19) & ~ (v18 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v24, v26) = v27) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v22, v18) = v25) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(v21, v19, v18) = v28 & hAPP(v29, v17) = v27 & hAPP(v22, v28) = v29)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v24, v26) = v27) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v25) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v21) | ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v21, v28, v29) = v30 & hAPP(v25, v19) = v29 & hAPP(v23, v17) = v28 & ( ~ (v30 = v27) | v20 = v18 | v19 = v17) & (v30 = v27 | ( ~ (v20 = v18) & ~ (v19 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v24, v26) = v27) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v21) | ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v21, v28, v29) = v30 & hAPP(v25, v18) = v29 & hAPP(v23, v17) = v28 & ( ~ (v30 = v27) | v20 = v19 | v18 = v17) & (v30 = v27 | ( ~ (v20 = v19) & ~ (v18 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Polynomial_Opoly(v20, v19) = v22) | ~ (c_Polynomial_Opoly(v20, v18) = v25) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Groups_Otimes__class_Otimes(v28) = v29 & c_Polynomial_Opoly(v20, v31) = v32 & tc_Polynomial_Opoly(v20) = v28 & hAPP(v32, v17) = v27 & hAPP(v30, v18) = v31 & hAPP(v29, v19) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v27, v17) = v25) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v20) = v25) | ~ (hAPP(v26, v18) = v27) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v8, v22) = v23) | ~ (hAPP(v8, v19) = v26) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v25, v10) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v27, v17) = v25) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v20) = v25) | ~ (hAPP(v26, v18) = v27) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v8, v22) = v23) | ~ (hAPP(v8, v19) = v26) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v25) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v20) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_HOL_Oequal__class_Oequal(v22) = v23) | ~ (c_Polynomial_OpCons(v21, v20, v19) = v24) | ~ (c_Polynomial_OpCons(v21, v18, v17) = v26) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v23, v24) = v25) | ~ class_HOL_Oequal(v21) | ~ class_Groups_Ozero(v21) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_HOL_Oequal__class_Oequal(v21) = v28 & hAPP(v31, v17) = v32 & hAPP(v29, v18) = v30 & hAPP(v28, v20) = v29 & hAPP(v23, v19) = v31 & ( ~ hBOOL(v32) | ~ hBOOL(v30) | hBOOL(v27)) & ( ~ hBOOL(v27) | (hBOOL(v32) & hBOOL(v30))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = v24 | ~ (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v23) | ~ (c_Groups_Ominus__class_Ominus(v22, v19, v17) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v25, v20) = v26) | ~ (c_Divides_Odiv__class_Omod(v22, v23, v20) = v24) | ~ class_Divides_Oring__div(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v21, v20) = v27 & c_Divides_Odiv__class_Omod(v22, v19, v20) = v28 & c_Divides_Odiv__class_Omod(v22, v18, v20) = v29 & c_Divides_Odiv__class_Omod(v22, v17, v20) = v30 & ( ~ (v30 = v29) | ~ (v28 = v27)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = v24 | ~ (c_Divides_Odiv__class_Omod(v22, v25, v20) = v26) | ~ (c_Divides_Odiv__class_Omod(v22, v23, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v18) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v17) = v25) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v21, v20) = v27 & c_Divides_Odiv__class_Omod(v22, v19, v20) = v28 & c_Divides_Odiv__class_Omod(v22, v18, v20) = v29 & c_Divides_Odiv__class_Omod(v22, v17, v20) = v30 & ( ~ (v30 = v29) | ~ (v28 = v27)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v18 = v17 | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v26) = v25) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v24) = v25) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v23, v17) = v26) | ~ (hAPP(v22, v20) = v23) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v21) | c_Groups_Ozero__class_Ozero(v21) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v25, v20) = v26) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v17, v20) = v24) | ~ class_Divides_Oring__div(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ominus__class_Ominus(v22, v19, v17) = v29 & c_Divides_Odiv__class_Omod(v22, v29, v20) = v30 & c_Divides_Odiv__class_Omod(v22, v21, v20) = v27 & c_Divides_Odiv__class_Omod(v22, v18, v20) = v28 & ( ~ (v28 = v24) | ~ (v27 = v23) | v30 = v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v19, v17) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v25, v20) = v26) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v18, v20) = v24) | ~ class_Divides_Oring__div(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v29 & c_Divides_Odiv__class_Omod(v22, v29, v20) = v30 & c_Divides_Odiv__class_Omod(v22, v19, v20) = v27 & c_Divides_Odiv__class_Omod(v22, v17, v20) = v28 & ( ~ (v28 = v24) | ~ (v27 = v23) | v30 = v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v3) = v23) | ~ (c_Power_Opower__class_Opower(v19) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v24) = v25) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ class_Groups_Omonoid__mult(v19) | hAPP(v22, v18) = v26) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v20) = v26) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v18, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v17) = v25) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v29, v20) = v30 & c_Divides_Odiv__class_Omod(v22, v19, v20) = v27 & c_Divides_Odiv__class_Omod(v22, v17, v20) = v28 & c_Groups_Oplus__class_Oplus(v22, v21, v18) = v29 & ( ~ (v28 = v24) | ~ (v27 = v23) | v30 = v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v20) = v26) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v17, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v18) = v25) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v29, v20) = v30 & c_Divides_Odiv__class_Omod(v22, v21, v20) = v27 & c_Divides_Odiv__class_Omod(v22, v18, v20) = v28 & c_Groups_Oplus__class_Oplus(v22, v19, v17) = v29 & ( ~ (v28 = v24) | ~ (v27 = v23) | v30 = v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v20, v25, v17) = v26) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v17) = v22) | ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v24) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v21, v22) = v23) | ~ class_Divides_Osemiring__div(v20) | ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(v20, v28, v17) = v26 & hAPP(v27, v18) = v28 & hAPP(v21, v19) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v20, v23, v25) = v26) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ class_Divides_Osemiring__div(v20) | ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(v20, v19, v17) = v27 & hAPP(v28, v18) = v26 & hAPP(v21, v27) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower_Opower(v21, v20, v19) = v22) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v17) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v19, v18) = v24) | ? [v27] : (c_Nat_OSuc(v17) = v27 & hAPP(v23, v27) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (c_Polynomial_Opoly(v20, v24) = v25) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Power_Opower__class_Opower(v20) = v27 & c_Polynomial_Opoly(v20, v19) = v28 & hAPP(v30, v18) = v26 & hAPP(v28, v17) = v29 & hAPP(v27, v29) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ c_Rings_Odvd__class_Odvd(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Rings_Odvd__class_Odvd(v21, v24, v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v20) = v23) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v25) = v26) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v27] : ? [v28] : (c_Polynomial_Opoly(v20, v27) = v28 & c_Polynomial_Omonom(v20, v19, v18) = v27 & hAPP(v28, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Otimes__class_Otimes(v20) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v21, v24) = v25) | ~ class_Groups_Ocomm__monoid__mult(v20) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (hAPP(v30, v17) = v31 & hAPP(v29, v31) = v26 & hAPP(v27, v17) = v28 & hAPP(v22, v28) = v29 & hAPP(v21, v19) = v27 & hAPP(v21, v18) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Otimes__class_Otimes(v20) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v21, v24) = v25) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (hAPP(v30, v17) = v31 & hAPP(v29, v31) = v26 & hAPP(v27, v17) = v28 & hAPP(v22, v28) = v29 & hAPP(v21, v19) = v27 & hAPP(v21, v18) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Nat_OSuc(v18) = v23) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v25) | ~ class_Rings_Olinordered__semidom(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v24, v26) | c_Orderings_Oord__class_Oless__eq(v20, v19, v17) | ? [v27] : (c_Groups_Ozero__class_Ozero(v20) = v27 & ~ c_Orderings_Oord__class_Oless__eq(v20, v27, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v25, v17) = v26) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v18) = v23) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Osemiring(v21) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Oplus__class_Oplus(v21, v30, v17) = v31 & c_Groups_Oplus__class_Oplus(v21, v28, v31) = v26 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28 & hAPP(v22, v20) = v27 & hAPP(v22, v18) = v29)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v25) | ~ (c_Polynomial_Omonom(v21, v24, v25) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Otimes__class_Otimes(v27) = v28 & c_Polynomial_Omonom(v21, v20, v19) = v29 & c_Polynomial_Omonom(v21, v18, v17) = v31 & tc_Polynomial_Opoly(v21) = v27 & hAPP(v30, v31) = v26 & hAPP(v28, v29) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Polynomial_Opoly(v20, v24) = v25) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Groups_Otimes__class_Otimes(v20) = v27 & c_Polynomial_Opoly(v20, v19) = v28 & c_Polynomial_Opoly(v20, v18) = v31 & hAPP(v31, v17) = v32 & hAPP(v30, v32) = v26 & hAPP(v28, v17) = v29 & hAPP(v27, v29) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__semiring__strict(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless(v21, v18, v17) | c_Orderings_Oord__class_Oless(v21, v24, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v21) = v27 & ( ~ c_Orderings_Oord__class_Oless(v21, v27, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__semiring__strict(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless(v21, v18, v17) | c_Orderings_Oord__class_Oless(v21, v24, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v21) = v27 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__semiring__strict(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | c_Orderings_Oord__class_Oless(v21, v24, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v21) = v27 & ( ~ c_Orderings_Oord__class_Oless(v21, v27, v18) | ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v20)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__semiring__strict(v21) | ~ c_Orderings_Oord__class_Oless(v21, v18, v17) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v24, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v21) = v27 & ( ~ c_Orderings_Oord__class_Oless(v21, v27, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ c_Rings_Odvd__class_Odvd(v21, v20, v19) | ~ c_Rings_Odvd__class_Odvd(v21, v18, v17) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Rings_Odvd__class_Odvd(v21, v24, v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Oordered__semiring(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | c_Orderings_Oord__class_Oless__eq(v21, v24, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v21) = v27 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v17) = v26) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Oordered__semiring(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | c_Orderings_Oord__class_Oless__eq(v21, v24, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v21) = v27 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v23, v25) = v26) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v27 & hAPP(v28, v18) = v26 & hAPP(v21, v27) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v23, v25) = v26) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v24) | ~ class_Rings_Ocomm__semiring(v20) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v27 & hAPP(v28, v17) = v26 & hAPP(v21, v27) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v23, v25) = v26) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v24) | ~ class_RealVector_Oreal__normed__algebra(v20) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v27 & hAPP(v28, v17) = v26 & hAPP(v21, v27) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v23, v25) = v26) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v24) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v27 & hAPP(v28, v17) = v26 & hAPP(v21, v27) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v25) = v26) | ~ (c_Polynomial_Opoly(v20, v18) = v23) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v27] : ? [v28] : (c_Polynomial_Opoly(v20, v27) = v28 & c_Polynomial_OpCons(v20, v19, v18) = v27 & hAPP(v28, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v25, v17) = v26) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v25) | ~ (hAPP(v8, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v24, v26) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v17, v10) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v25, v17) = v26) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v18) = v25) | ~ (hAPP(v8, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v24, v26) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v24, v17) = v25) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v25) = v26) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ (hAPP(v1, v18) = v23) | ? [v27] : ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v29, v17) = v26 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v18) = v27 & hAPP(v28, v19) = v29 & hAPP(v1, v27) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Opoly__rec(v19, v22, v20, v21, v17) = v25) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v18) = v23) | ~ class_Groups_Ozero(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (c_Polynomial_Opoly__rec(v19, v22, v20, v21, v33) = v34 & c_Polynomial_OpCons(v22, v18, v17) = v33 & tc_Polynomial_Opoly(v22) = v29 & c_Groups_Ozero__class_Ozero(v29) = v30 & c_Groups_Ozero__class_Ozero(v22) = v27 & hAPP(v31, v20) = v32 & hAPP(v28, v30) = v31 & hAPP(v21, v27) = v28 & ( ~ (v32 = v20) | v34 = v26))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v18) = v26) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v24) | ~ class_Fields_Ofield(v21) | ? [v27] : ? [v28] : ? [v29] : (c_Polynomial_Odegree(v21, v20) = v29 & c_Polynomial_Odegree(v21, v18) = v28 & c_Groups_Ozero__class_Ozero(v22) = v27 & ( ~ (v26 = v17) | c_Polynomial_Opdivmod__rel(v21, v17, v20, v19, v18) | (v27 = v20 & ~ (v20 = v19)) | ( ~ (v27 = v20) & ~ (v27 = v18) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v28, v29))) & ( ~ c_Polynomial_Opdivmod__rel(v21, v17, v20, v19, v18) | (v26 = v17 & ( ~ (v27 = v20) | v20 = v19) & (v27 = v20 | v27 = v18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v28, v29)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = v17 | ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Nat_OSuc(v18) = v23) | ~ (hAPP(v25, v23) = v24) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v25) | ~ class_Rings_Olinordered__semidom(v20) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v26, v19) | ~ c_Orderings_Oord__class_Oless__eq(v20, v26, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v20, v24, v18) = v25) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v18) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Divides_Osemiring__div(v20) | ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(v20, v27, v18) = v25 & hAPP(v26, v17) = v27 & hAPP(v21, v19) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v20, v24, v18) = v25) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v23) = v24) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ class_Divides_Osemiring__div(v20) | c_Divides_Odiv__class_Omod(v20, v19, v18) = v25) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v20, v24, v17) = v25) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v17) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Divides_Osemiring__div(v20) | ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(v20, v27, v17) = v25 & hAPP(v26, v18) = v27 & hAPP(v21, v19) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v20, v24, v17) = v25) | ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v23) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v26] : (c_Divides_Odiv__class_Omod(v20, v26, v17) = v25 & hAPP(v22, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v20, v24, v17) = v25) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v23) = v24) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ class_Divides_Osemiring__div(v20) | c_Divides_Odiv__class_Omod(v20, v19, v17) = v25) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v20, v23, v24) = v25) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v26] : (c_Divides_Odiv__class_Omod(v20, v18, v17) = v26 & hAPP(v22, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower_Opower(v21, v20, v19) = v22) | ~ (c_Nat_OSuc(v17) = v24) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v18) = v23) | ? [v26] : ? [v27] : (hAPP(v26, v27) = v25 & hAPP(v23, v17) = v27 & hAPP(v19, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v23, v17) = v25) | ~ (hAPP(v22, v20) = v23) | ~ c_Rings_Odvd__class_Odvd(v21, v24, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v19) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Rings_Odvd__class_Odvd(v21, v25, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Polynomial_Opoly(v20, v19) = v22) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v23) = v24) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Power_Opower__class_Opower(v26) = v27 & c_Polynomial_Opoly(v20, v29) = v30 & tc_Polynomial_Opoly(v20) = v26 & hAPP(v30, v17) = v25 & hAPP(v28, v18) = v29 & hAPP(v27, v19) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ c_Orderings_Oord__class_Oless(v20, v23, v25) | ~ class_Rings_Olinordered__semidom(v20) | c_Orderings_Oord__class_Oless(v20, v19, v17) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless__eq(v20, v26, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Groups_Omonoid__mult(v20) | ? [v26] : ? [v27] : (hAPP(v26, v17) = v27 & hAPP(v22, v27) = v25 & hAPP(v1, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : ? [v27] : (hAPP(v26, v17) = v27 & hAPP(v22, v27) = v25 & hAPP(v1, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v24) | ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | ~ class_Rings_Olinordered__semidom(v20) | c_Orderings_Oord__class_Oless(v20, v23, v25) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless__eq(v20, v26, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v24) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v23, v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v24) | ~ class_Rings_Olinordered__semidom(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v23, v25) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless__eq(v20, v26, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v18) = v23) | ~ class_Groups_Omonoid__mult(v20) | ? [v26] : ? [v27] : (hAPP(v27, v17) = v25 & hAPP(v22, v18) = v26 & hAPP(v21, v26) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v18) = v23) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : ? [v27] : (hAPP(v27, v17) = v25 & hAPP(v22, v18) = v26 & hAPP(v21, v26) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v22) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v24) = v25) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | c_Orderings_Oord__class_Oless(v19, v25, v24) | ? [v26] : ? [v27] : (c_Groups_Oone__class_Oone(v19) = v27 & c_Groups_Ozero__class_Ozero(v19) = v26 & ( ~ c_Orderings_Oord__class_Oless(v19, v26, v18) | ~ c_Orderings_Oord__class_Oless(v19, v18, v27)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v22) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v24) = v25) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v26] : (c_Groups_Oone__class_Oone(v19) = v26 & ( ~ c_Orderings_Oord__class_Oless(v19, v26, v18) | c_Orderings_Oord__class_Oless(v19, v26, v25)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v22) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v24) = v25) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v26] : (c_Nat_OSuc(v17) = v26 & hAPP(v23, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v24, v23) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v18) = v24) | ~ class_Groups_Omonoid__mult(v19) | ? [v26] : (hAPP(v26, v18) = v25 & hAPP(v20, v23) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v23) = v24) | ~ class_Groups_Omonoid__mult(v19) | ? [v26] : (hAPP(v26, v23) = v25 & hAPP(v20, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v23) = v24) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v26] : (c_Nat_OSuc(v17) = v26 & hAPP(v22, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Groups_Otimes__class_Otimes(v19) = v23) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | c_Orderings_Oord__class_Oless(v19, v22, v25) | ? [v26] : (c_Groups_Oone__class_Oone(v19) = v26 & ~ c_Orderings_Oord__class_Oless(v19, v26, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Groups_Otimes__class_Otimes(v19) = v22) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v17) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Groups_Omonoid__mult(v19) | ? [v26] : (c_Nat_OSuc(v17) = v26 & hAPP(v21, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Groups_Otimes__class_Otimes(v19) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v17) = v24) | ~ (hAPP(v20, v18) = v21) | ~ class_Power_Opower(v19) | ? [v26] : (c_Nat_OSuc(v17) = v26 & hAPP(v21, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Groups_Otimes__class_Otimes(v19) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v17) = v24) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v26] : (c_Nat_OSuc(v17) = v26 & hAPP(v21, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Rings_Oinverse__class_Oinverse(v22, v21) = v24) | ~ (c_Polynomial_Osmult(v22, v24, v18) = v25) | ~ (c_Polynomial_Osmult(v22, v21, v19) = v23) | ~ c_Polynomial_Opdivmod__rel(v22, v20, v19, v18, v17) | ~ class_Fields_Ofield(v22) | c_Groups_Ozero__class_Ozero(v22) = v21 | c_Polynomial_Opdivmod__rel(v22, v20, v23, v25, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v18) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(v21, v27, v29) = v25 & hAPP(v28, v17) = v29 & hAPP(v26, v17) = v27 & hAPP(v22, v19) = v26 & hAPP(v22, v18) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Polynomial_Osmult(v20, v19, v24) = v25) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v18) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : ? [v27] : (c_Polynomial_Osmult(v20, v19, v18) = v26 & hAPP(v27, v17) = v25 & hAPP(v22, v26) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Polynomial_Osmult(v20, v19, v18) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : ? [v27] : (c_Polynomial_Osmult(v20, v19, v27) = v25 & hAPP(v26, v17) = v27 & hAPP(v22, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Polynomial_Osmult(v20, v18, v24) = v25) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : (c_Polynomial_Osmult(v20, v18, v17) = v26 & hAPP(v23, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Polynomial_Osmult(v20, v18, v17) = v24) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : (c_Polynomial_Osmult(v20, v18, v26) = v25 & hAPP(v23, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Polynomial_OpCons(v20, v19, v18) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v21, v26, v30) = v25 & c_Polynomial_Osmult(v20, v19, v17) = v26 & c_Polynomial_OpCons(v20, v27, v29) = v30 & c_Groups_Ozero__class_Ozero(v20) = v27 & hAPP(v28, v17) = v29 & hAPP(v22, v18) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Polynomial_OpCons(v20, v18, v17) = v24) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(v21, v26, v29) = v25 & c_Polynomial_Osmult(v20, v18, v19) = v26 & c_Polynomial_OpCons(v20, v27, v28) = v29 & c_Groups_Ozero__class_Ozero(v20) = v27 & hAPP(v23, v17) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v23, v24) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_RealVector_Oreal__normed__algebra(v20) | ? [v26] : (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v26 & hAPP(v22, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v23, v24) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v26 & hAPP(v22, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Polynomial_Ocoeff(v20, v18) = v23) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : ? [v27] : (c_Polynomial_Ocoeff(v20, v26) = v27 & c_Polynomial_Osmult(v20, v19, v18) = v26 & hAPP(v27, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Polynomial_Osmult(v20, v19, v17) = v24) | ~ (c_Polynomial_OpCons(v20, v23, v24) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : (c_Polynomial_Osmult(v20, v19, v26) = v25 & c_Polynomial_OpCons(v20, v18, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Polynomial_Opoly(v20, v18) = v23) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : ? [v27] : (c_Polynomial_Osmult(v20, v19, v18) = v26 & c_Polynomial_Opoly(v20, v26) = v27 & hAPP(v27, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ class_Rings_Olinordered__semiring(v20) | ~ c_Orderings_Oord__class_Oless(v20, v23, v25) | c_Orderings_Oord__class_Oless(v20, v19, v17) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless__eq(v20, v26, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ class_Rings_Olinordered__semiring__strict(v20) | ~ c_Orderings_Oord__class_Oless(v20, v23, v25) | c_Orderings_Oord__class_Oless(v20, v19, v17) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless__eq(v20, v26, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ class_Rings_Olinordered__semiring__strict(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v23, v25) | c_Orderings_Oord__class_Oless__eq(v20, v19, v17) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless(v20, v26, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ class_Rings_Olinordered__ring__strict(v20) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ( ~ c_Orderings_Oord__class_Oless(v20, v23, v25) | (c_Orderings_Oord__class_Oless(v20, v26, v18) & c_Orderings_Oord__class_Oless(v20, v19, v17)) | (c_Orderings_Oord__class_Oless(v20, v18, v26) & c_Orderings_Oord__class_Oless(v20, v17, v19))) & (c_Orderings_Oord__class_Oless(v20, v23, v25) | (( ~ c_Orderings_Oord__class_Oless(v20, v26, v18) | ~ c_Orderings_Oord__class_Oless(v20, v19, v17)) & ( ~ c_Orderings_Oord__class_Oless(v20, v18, v26) | ~ c_Orderings_Oord__class_Oless(v20, v17, v19)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ class_Rings_Oidom(v20) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & (v26 = v18 | ~ c_Rings_Odvd__class_Odvd(v20, v23, v25) | c_Rings_Odvd__class_Odvd(v20, v19, v17)) & (c_Rings_Odvd__class_Odvd(v20, v23, v25) | ( ~ (v26 = v18) & ~ c_Rings_Odvd__class_Odvd(v20, v19, v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v18) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : ? [v27] : (hAPP(v27, v17) = v25 & hAPP(v22, v18) = v26 & hAPP(v21, v26) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Groups_Oab__semigroup__mult(v20) | ? [v26] : ? [v27] : (hAPP(v26, v17) = v27 & hAPP(v22, v27) = v25 & hAPP(v21, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : ? [v27] : (hAPP(v27, v18) = v25 & hAPP(v22, v17) = v26 & hAPP(v21, v26) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : ? [v27] : (hAPP(v26, v17) = v27 & hAPP(v22, v27) = v25 & hAPP(v21, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v24) | ~ (hAPP(v21, v18) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless(v20, v23, v25) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless(v20, v17, v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v24) | ~ (hAPP(v21, v18) = v22) | ~ class_Rings_Oordered__ring(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v23, v25) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless__eq(v20, v17, v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v24) | ~ class_Rings_Olinordered__semiring__strict(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | c_Orderings_Oord__class_Oless(v20, v23, v25) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless(v20, v26, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v17) = v25) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v24) | ~ class_Rings_Oordered__semiring(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v23, v25) | ? [v26] : (c_Groups_Ozero__class_Ozero(v20) = v26 & ~ c_Orderings_Oord__class_Oless__eq(v20, v26, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v23) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : (hAPP(v23, v17) = v26 & hAPP(v22, v26) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v23) | ~ class_Groups_Oab__semigroup__mult(v20) | ? [v26] : ? [v27] : (hAPP(v27, v17) = v25 & hAPP(v22, v18) = v26 & hAPP(v21, v26) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v23) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : ? [v27] : (hAPP(v27, v17) = v25 & hAPP(v22, v18) = v26 & hAPP(v21, v26) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v18) = v23) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v26] : (hAPP(v23, v26) = v25 & hAPP(v22, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v22, v24) = v25) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v23) | ~ class_Rings_Olinordered__ring(v19) | ? [v26] : (c_Groups_Ozero__class_Ozero(v19) = v26 & c_Orderings_Oord__class_Oless__eq(v19, v26, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v22, v24) = v25) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v23) | ~ class_Rings_Olinordered__ring(v19) | ? [v26] : (c_Groups_Ozero__class_Ozero(v19) = v26 & ~ c_Orderings_Oord__class_Oless(v19, v25, v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v22, v24) = v25) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v23) | ~ class_Rings_Olinordered__ring__strict(v19) | ? [v26] : (c_Groups_Ozero__class_Ozero(v19) = v26 & ( ~ (v26 = v25) | (v25 = v17 & v18 = v17)) & ( ~ (v26 = v17) | ~ (v18 = v17) | v25 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v22, v24) = v25) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v23) | ~ class_Rings_Olinordered__ring__strict(v19) | ? [v26] : (c_Groups_Ozero__class_Ozero(v19) = v26 & ( ~ (v26 = v17) | ~ (v18 = v17) | ~ c_Orderings_Oord__class_Oless(v19, v17, v25)) & (c_Orderings_Oord__class_Oless(v19, v26, v25) | (v26 = v17 & v18 = v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v22, v24) = v25) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v23) | ~ class_Rings_Olinordered__ring__strict(v19) | ? [v26] : (c_Groups_Ozero__class_Ozero(v19) = v26 & ( ~ (v26 = v17) | ~ (v18 = v17) | c_Orderings_Oord__class_Oless__eq(v19, v25, v17)) & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v25, v26) | (v26 = v17 & v18 = v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v23, v24) = v25) | ~ (c_Polynomial_OpCons(v21, v20, v19) = v23) | ~ (c_Polynomial_OpCons(v21, v18, v17) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Groups_Ocomm__monoid__add(v21) | ? [v26] : ? [v27] : (c_Groups_Oplus__class_Oplus(v22, v19, v17) = v27 & c_Groups_Oplus__class_Oplus(v21, v20, v18) = v26 & c_Polynomial_OpCons(v21, v26, v27) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v19, v17) = v24) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v18) = v23) | ~ (c_Polynomial_OpCons(v21, v23, v24) = v25) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Groups_Ocomm__monoid__add(v21) | ? [v26] : ? [v27] : (c_Groups_Oplus__class_Oplus(v22, v26, v27) = v25 & c_Polynomial_OpCons(v21, v20, v19) = v26 & c_Polynomial_OpCons(v21, v18, v17) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v23, v24) = v25) | ~ (c_Polynomial_Osmult(v20, v17, v22) = v23) | ~ (c_Polynomial_OpCons(v20, v19, v22) = v24) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v20, v18, v17) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : (c_Polynomial_OpCons(v20, v19, v18) = v26 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v20, v26, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v22, v24) = v25) | ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ (c_Polynomial_Ocoeff(v20, v18) = v23) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v17) = v22) | ~ class_Groups_Ocomm__monoid__add(v20) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v26, v19, v18) = v27 & c_Polynomial_Ocoeff(v20, v27) = v28 & tc_Polynomial_Opoly(v20) = v26 & hAPP(v28, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v22, v24) = v25) | ~ (c_Polynomial_Opoly(v20, v19) = v21) | ~ (c_Polynomial_Opoly(v20, v18) = v23) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v26, v19, v18) = v27 & c_Polynomial_Opoly(v20, v27) = v28 & tc_Polynomial_Opoly(v20) = v26 & hAPP(v28, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v18) = v25) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v23) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v8, v17) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v20) | ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v18) = v26 & ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v26) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v25)) & ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v25) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v26)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Osmult(v22, v17, v21) = v23) | ~ (c_Polynomial_Osmult(v22, v17, v19) = v24) | ~ (c_Polynomial_Osmult(v22, v17, v18) = v25) | ~ c_Polynomial_Opdivmod__rel(v22, v21, v20, v19, v18) | ~ class_Fields_Ofield(v22) | c_Polynomial_Opdivmod__rel(v22, v23, v20, v24, v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_HOL_Oequal__class_Oequal(v20) = v21) | ~ (c_Polynomial_OpCons(v19, v18, v17) = v24) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v21, v22) = v23) | ~ class_HOL_Oequal(v19) | ~ class_Groups_Ozero(v19) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_HOL_Oequal__class_Oequal(v19) = v26 & c_Groups_Ozero__class_Ozero(v19) = v27 & hAPP(v28, v18) = v29 & hAPP(v26, v27) = v28 & hAPP(v23, v17) = v30 & ( ~ hBOOL(v30) | ~ hBOOL(v29) | hBOOL(v25)) & ( ~ hBOOL(v25) | (hBOOL(v30) & hBOOL(v29))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_HOL_Oequal__class_Oequal(v20) = v21) | ~ (c_Polynomial_OpCons(v19, v18, v17) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v24) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v21, v22) = v23) | ~ class_HOL_Oequal(v19) | ~ class_Groups_Ozero(v19) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_HOL_Oequal__class_Oequal(v19) = v26 & c_Groups_Ozero__class_Ozero(v19) = v28 & hAPP(v30, v24) = v31 & hAPP(v27, v28) = v29 & hAPP(v26, v18) = v27 & hAPP(v21, v17) = v30 & ( ~ hBOOL(v31) | ~ hBOOL(v29) | hBOOL(v25)) & ( ~ hBOOL(v25) | (hBOOL(v31) & hBOOL(v29))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (c_Divides_Odiv__class_Omod(v20, v23, v18) = v24) | ~ (c_Divides_Odiv__class_Omod(v20, v21, v18) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v17) = v23) | ~ class_Divides_Oring__div(v20) | ? [v25] : ? [v26] : ( ~ (v26 = v25) & c_Divides_Odiv__class_Omod(v20, v19, v18) = v25 & c_Divides_Odiv__class_Omod(v20, v17, v18) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Polynomial_Opoly__gcd(v20, v18, v17) = v24) | ~ (c_Polynomial_Odegree(v20, v19) = v22) | ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ (hAPP(v21, v22) = v23) | ~ class_Fields_Ofield(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Oone__class_Oone(v20) = v28 & tc_Polynomial_Opoly(v20) = v25 & c_Groups_Ozero__class_Ozero(v25) = v26 & c_Groups_Ozero__class_Ozero(v20) = v27 & ( ~ c_Rings_Odvd__class_Odvd(v25, v19, v18) | ~ c_Rings_Odvd__class_Odvd(v25, v19, v17) | (v26 = v17 & v18 = v17 & ~ (v27 = v23)) | ( ~ (v28 = v23) & ( ~ (v26 = v17) | ~ (v18 = v17))) | (c_Rings_Odvd__class_Odvd(v25, v29, v18) & c_Rings_Odvd__class_Odvd(v25, v29, v17) & ~ c_Rings_Odvd__class_Odvd(v25, v29, v19))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v19 = v17 | ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v24, v18) = v23) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v21, v17) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ class_Rings_Olinordered__semidom(v20) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v25, v19) | ~ c_Orderings_Oord__class_Oless__eq(v20, v25, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v18 = v17 | ~ (c_Polynomial_Odegree(v19, v18) = v21) | ~ (c_Polynomial_Odegree(v19, v17) = v24) | ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ (c_Polynomial_Ocoeff(v19, v17) = v23) | ~ (hAPP(v23, v24) = v22) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Oidom(v19) | ? [v25] : (tc_Polynomial_Opoly(v19) = v25 & ( ~ c_Rings_Odvd__class_Odvd(v25, v18, v17) | ~ c_Rings_Odvd__class_Odvd(v25, v17, v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v17 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v24, v23) = v18) | ~ (hAPP(v21, v22) = v24) | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v1, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v17) | ? [v25] : ? [v26] : ((c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v25 & hAPP(v19, v25) = v26 & ~ hBOOL(v26)) | (hAPP(v19, v23) = v25 & hBOOL(v25)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v21, v22) = v23) | ~ (c_Divides_Odiv__class_Omod(v20, v23, v17) = v24) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v17) = v21) | ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v22) | ~ class_Divides_Oring__div(v20) | ? [v25] : (c_Groups_Ominus__class_Ominus(v20, v19, v18) = v25 & c_Divides_Odiv__class_Omod(v20, v25, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v18, v17, v20) = v23) | ~ (c_Groups_Oone__class_Oone(v18) = v20) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (c_Groups_Oplus__class_Oplus(v18, v17, v20) = v21) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v19, v21) = v22) | ~ class_Rings_Oring__1(v18) | ? [v25] : ? [v26] : (c_Groups_Ominus__class_Ominus(v18, v26, v20) = v24 & hAPP(v25, v17) = v26 & hAPP(v19, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v18, v20) = v24) | ~ (c_Divides_Odiv__class_Omod(v22, v17, v20) = v24) | ~ class_Divides_Oring__div(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Groups_Ominus__class_Ominus(v22, v21, v18) = v25 & c_Groups_Ominus__class_Ominus(v22, v19, v17) = v27 & c_Divides_Odiv__class_Omod(v22, v27, v20) = v26 & c_Divides_Odiv__class_Omod(v22, v25, v20) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v18, v20) = v24) | ~ (c_Divides_Odiv__class_Omod(v22, v17, v20) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v30, v20) = v28 & c_Divides_Odiv__class_Omod(v22, v27, v20) = v28 & c_Groups_Otimes__class_Otimes(v22) = v25 & hAPP(v29, v17) = v30 & hAPP(v26, v18) = v27 & hAPP(v25, v21) = v26 & hAPP(v25, v19) = v29)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v18, v20) = v24) | ~ (c_Divides_Odiv__class_Omod(v22, v17, v20) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(v22, v27, v20) = v26 & c_Divides_Odiv__class_Omod(v22, v25, v20) = v26 & c_Groups_Oplus__class_Oplus(v22, v21, v18) = v25 & c_Groups_Oplus__class_Oplus(v22, v19, v17) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v20, v23, v18) = v24) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v25] : ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(v20, v27, v18) = v24 & c_Divides_Odiv__class_Omod(v20, v19, v18) = v25 & hAPP(v26, v17) = v27 & hAPP(v21, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v20, v23, v17) = v24) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v17) = v21) | ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v21, v22) = v23) | ~ class_Divides_Osemiring__div(v20) | ? [v25] : (c_Divides_Odiv__class_Omod(v20, v25, v17) = v24 & c_Groups_Oplus__class_Oplus(v20, v19, v18) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v20, v23, v17) = v24) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(v20, v28, v17) = v24 & c_Divides_Odiv__class_Omod(v20, v19, v17) = v25 & c_Divides_Odiv__class_Omod(v20, v18, v17) = v27 & hAPP(v26, v27) = v28 & hAPP(v21, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v20, v23, v17) = v24) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v25] : ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(v20, v27, v17) = v24 & c_Divides_Odiv__class_Omod(v20, v19, v17) = v25 & hAPP(v26, v18) = v27 & hAPP(v21, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v20, v23, v17) = v24) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v20, v26, v17) = v24 & c_Divides_Odiv__class_Omod(v20, v18, v17) = v25 & hAPP(v22, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v20, v19, v17) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Divides_Osemiring__div(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(v20, v26, v28) = v24 & hAPP(v27, v18) = v28 & hAPP(v25, v18) = v26 & hAPP(v21, v19) = v25 & hAPP(v21, v17) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v23) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v20, v25, v26) = v24 & hAPP(v22, v18) = v25 & hAPP(v22, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v8, v18) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v8, v18) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19) | ? [v25] : (hAPP(v21, v20) = v25 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v24, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v18) = v24) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v8, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v10) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v24, v10)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v18) = v24) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v8, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v10) | ? [v25] : (hAPP(v21, v20) = v25 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v25, v24))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v23, v18) = v24) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v17) = v22) | ~ (c_Nat_OSuc(v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | ? [v25] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v25, v18) = v24 & c_Nat_OSuc(v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v23) = v24) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v18) = v22) | ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v18) = v25 & hAPP(v26, v17) = v24 & hAPP(v1, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v1, v18) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ? [v25] : (hAPP(v21, v20) = v25 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Polynomial_Odegree(v19, v23) = v24) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Odegree(v19, v18) = v25 & hAPP(v26, v17) = v27 & hAPP(v1, v25) = v26 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v27))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Groups_Omonoid__mult(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Otimes__class_Otimes(v20) = v25 & hAPP(v27, v28) = v24 & hAPP(v25, v26) = v27 & hAPP(v22, v18) = v26 & hAPP(v22, v17) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Otimes__class_Otimes(v20) = v25 & hAPP(v27, v28) = v24 & hAPP(v25, v26) = v27 & hAPP(v22, v18) = v26 & hAPP(v22, v17) = v28)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | ~ class_Rings_Olinordered__semidom(v20) | c_Orderings_Oord__class_Oless(v20, v23, v24) | ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v20) = v26 & c_Groups_Ozero__class_Ozero(v20) = v25 & ( ~ c_Orderings_Oord__class_Oless(v20, v25, v17) | ~ c_Orderings_Oord__class_Oless(v20, v17, v26)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Olinordered__semidom(v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v20) = v26 & c_Groups_Ozero__class_Ozero(v20) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v25, v17) | ~ c_Orderings_Oord__class_Oless__eq(v20, v17, v26)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v22, v18) = v24) | ~ (hAPP(v21, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | ~ class_Rings_Olinordered__semidom(v20) | c_Orderings_Oord__class_Oless(v20, v23, v24) | ? [v25] : (c_Groups_Oone__class_Oone(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v22, v18) = v24) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Olinordered__semidom(v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ? [v25] : (c_Groups_Oone__class_Oone(v20) = v25 & ~ c_Orderings_Oord__class_Oless__eq(v20, v25, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v22, v18) = v24) | ~ (hAPP(v21, v17) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v23, v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v23, v24) | ~ class_Rings_Olinordered__semidom(v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ? [v25] : (c_Groups_Oone__class_Oone(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ~ class_Rings_Olinordered__semidom(v20) | c_Orderings_Oord__class_Oless(v20, v23, v24) | ? [v25] : (c_Groups_Oone__class_Oone(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__semidom(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | ? [v25] : (c_Groups_Oone__class_Oone(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__semidom(v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ? [v25] : (c_Groups_Oone__class_Oone(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v23) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Odivision__ring(v19) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Rings_Oinverse__class_Oinverse(v19, v27) = v28 & c_Groups_Ozero__class_Ozero(v19) = v25 & hAPP(v26, v17) = v27 & hAPP(v20, v18) = v26 & (v28 = v24 | v25 = v18 | v25 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v21) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v20, v21) = v22) | ~ class_Fields_Ofield__inverse__zero(v19) | ? [v25] : ? [v26] : (c_Rings_Oinverse__class_Oinverse(v19, v26) = v24 & hAPP(v25, v17) = v26 & hAPP(v20, v18) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (tc_fun(v20, v21) = v22) | ~ (hAPP(v19, v17) = v23) | ~ (hAPP(v18, v17) = v24) | ~ class_Orderings_Oord(v21) | ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v18) | c_Orderings_Oord__class_Oless__eq(v21, v23, v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Oring(v19) | ? [v25] : (hAPP(v25, v17) = v24 & hAPP(v20, v18) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oone__class_Oone(v19) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v21) = v22) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v20, v22) = v23) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(v19, v26, v17) = v24 & hAPP(v25, v17) = v26 & hAPP(v20, v18) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oone__class_Oone(v19) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v17, v21) = v22) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v20, v22) = v23) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(v19, v18, v26) = v24 & hAPP(v25, v18) = v26 & hAPP(v20, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v19, v23) = v24) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ class_Rings_Oidom(v19) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Polynomial_Odegree(v19, v18) = v26 & c_Polynomial_Odegree(v19, v17) = v27 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v26, v27) = v28 & c_Groups_Ozero__class_Ozero(v20) = v25 & (v28 = v24 | v25 = v18 | v25 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v19, v23) = v24) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Odegree(v19, v18) = v25 & c_Polynomial_Odegree(v19, v17) = v26 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v25, v26) = v27 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v27))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v22) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Rings_Ocomm__semiring(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v26, v28) = v24 & hAPP(v27, v17) = v28 & hAPP(v25, v17) = v26 & hAPP(v21, v19) = v25 & hAPP(v21, v18) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v22) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_RealVector_Oreal__normed__algebra(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v26, v28) = v24 & hAPP(v27, v17) = v28 & hAPP(v25, v17) = v26 & hAPP(v21, v19) = v25 & hAPP(v21, v18) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v22) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v26, v28) = v24 & hAPP(v27, v17) = v28 & hAPP(v25, v17) = v26 & hAPP(v21, v19) = v25 & hAPP(v21, v18) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v22) | ~ (hAPP(v23, v18) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v26, v28) = v24 & hAPP(v27, v18) = v28 & hAPP(v25, v18) = v26 & hAPP(v21, v19) = v25 & hAPP(v21, v17) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_RealVector_Oreal__normed__algebra(v20) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(v20, v25, v26) = v24 & hAPP(v22, v18) = v25 & hAPP(v22, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(v20, v25, v26) = v24 & hAPP(v22, v18) = v25 & hAPP(v22, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Polynomial_Osmult(v20, v23, v17) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v25] : (c_Polynomial_Osmult(v20, v19, v25) = v24 & c_Polynomial_Osmult(v20, v18, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Polynomial_Omonom(v20, v23, v17) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v25] : (c_Polynomial_Osmult(v20, v19, v25) = v24 & c_Polynomial_Omonom(v20, v18, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v17) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v17, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Oordered__ring(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless__eq(v20, v17, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v22, v18) = v24) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Olinordered__semiring__strict(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | c_Orderings_Oord__class_Oless(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v22, v18) = v24) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Olinordered__comm__semiring__strict(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | c_Orderings_Oord__class_Oless(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v22, v18) = v24) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Oordered__comm__semiring(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless__eq(v20, v25, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v22, v18) = v24) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Oordered__semiring(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless__eq(v20, v25, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__semiring(v20) | ~ c_Orderings_Oord__class_Oless(v20, v23, v24) | c_Orderings_Oord__class_Oless(v20, v18, v17) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless__eq(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__semiring__strict(v20) | ~ c_Orderings_Oord__class_Oless(v20, v23, v24) | c_Orderings_Oord__class_Oless(v20, v18, v17) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless__eq(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__semiring__strict(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v23, v24) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless(v20, v18, v17) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v23, v24) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless(v20, v17, v18) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v19, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v18, v17) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v17, v18) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v19, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless__eq(v20, v17, v18) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v19, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v25, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(v20, v17, v18) | ~ class_Rings_Olinordered__ring__strict(v20) | c_Orderings_Oord__class_Oless__eq(v20, v23, v24) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ~ c_Orderings_Oord__class_Oless(v20, v19, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__ring__strict(v20) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & ( ~ c_Orderings_Oord__class_Oless(v20, v23, v24) | (c_Orderings_Oord__class_Oless(v20, v25, v19) & c_Orderings_Oord__class_Oless(v20, v18, v17)) | (c_Orderings_Oord__class_Oless(v20, v19, v25) & c_Orderings_Oord__class_Oless(v20, v17, v18))) & (c_Orderings_Oord__class_Oless(v20, v23, v24) | (( ~ c_Orderings_Oord__class_Oless(v20, v25, v19) | ~ c_Orderings_Oord__class_Oless(v20, v18, v17)) & ( ~ c_Orderings_Oord__class_Oless(v20, v19, v25) | ~ c_Orderings_Oord__class_Oless(v20, v17, v18)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Oidom(v20) | ? [v25] : (c_Groups_Ozero__class_Ozero(v20) = v25 & (v25 = v19 | ~ c_Rings_Odvd__class_Odvd(v20, v23, v24) | c_Rings_Odvd__class_Odvd(v20, v18, v17)) & (c_Rings_Odvd__class_Odvd(v20, v23, v24) | ( ~ (v25 = v19) & ~ c_Rings_Odvd__class_Odvd(v20, v18, v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v23) | ~ class_Rings_Oidom(v19) | ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v25 & ( ~ (v24 = v22) | v25 = v18 | v18 = v17) & (v24 = v22 | ( ~ (v25 = v18) & ~ (v18 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v20, v23) = v24) | ~ (c_Polynomial_Osmult(v21, v19, v18) = v23) | ~ (c_Polynomial_OpCons(v21, v17, v18) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v25] : (c_Polynomial_Osynthetic__div(v21, v20, v19) = v18 & c_Polynomial_Opoly(v21, v20) = v25 & hAPP(v25, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v18, v17) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(v21, v25, v26) = v24 & c_Groups_Oplus__class_Oplus(v21, v20, v18) = v25 & c_Groups_Oplus__class_Oplus(v21, v19, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v18) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v17) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(v21, v25, v26) = v24 & c_Groups_Oplus__class_Oplus(v21, v20, v19) = v25 & c_Groups_Oplus__class_Oplus(v21, v18, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ (c_Polynomial_Osmult(v20, v19, v18) = v22) | ~ (c_Polynomial_Osmult(v20, v19, v17) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v25] : (c_Groups_Oplus__class_Oplus(v21, v18, v17) = v25 & c_Polynomial_Osmult(v20, v19, v25) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ (c_Polynomial_Osmult(v20, v19, v17) = v22) | ~ (c_Polynomial_Osmult(v20, v18, v17) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v25] : (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v25 & c_Polynomial_Osmult(v20, v25, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ (c_Polynomial_Omonom(v20, v19, v18) = v22) | ~ (c_Polynomial_Omonom(v20, v17, v18) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Groups_Ocomm__monoid__add(v20) | ? [v25] : (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v25 & c_Polynomial_Omonom(v20, v25, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v19, v18) = v22) | ~ (c_Polynomial_Ocoeff(v20, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ class_Groups_Ocomm__monoid__add(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v26, v28) = v24 & c_Polynomial_Ocoeff(v20, v19) = v25 & c_Polynomial_Ocoeff(v20, v18) = v27 & hAPP(v27, v17) = v28 & hAPP(v25, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v19, v18) = v22) | ~ (c_Polynomial_Opoly(v20, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v23, v17) = v24) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v20, v26, v28) = v24 & c_Polynomial_Opoly(v20, v19) = v25 & c_Polynomial_Opoly(v20, v18) = v27 & hAPP(v27, v17) = v28 & hAPP(v25, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18) | ~ (hAPP(v21, v22) = v24) | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v17) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v23) | ? [v25] : ? [v26] : ((c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v25 & hAPP(v19, v25) = v26 & ~ hBOOL(v26)) | (hAPP(v19, v23) = v25 & hBOOL(v25)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18) | ~ (hAPP(v21, v22) = v24) | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v23) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v23, v10) | ? [v25] : ? [v26] : ((c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v25 & hAPP(v19, v25) = v26 & ~ hBOOL(v26)) | (hAPP(v19, v23) = v25 & hBOOL(v25)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v22, v21) = v23) | ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v18, v23) = v24) | ~ (hAPP(v8, v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17) | hBOOL(v24) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v25, v19) = v27 & hAPP(v18, v27) = v28 & hAPP(v18, v25) = v26 & hBOOL(v26) & ~ hBOOL(v28)) | (hAPP(v18, v22) = v25 & ~ hBOOL(v25)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v23) = v24) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v8, v19) = v20) | ~ (hAPP(v8, v18) = v22) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v18) = v25 & hAPP(v26, v17) = v24 & hAPP(v8, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v23, v17) = v24) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v18) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v28, v17) = v29 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v26, v29) = v24 & hAPP(v27, v19) = v28 & hAPP(v25, v19) = v26 & hAPP(v1, v20) = v25 & hAPP(v1, v18) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v23) = v24) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v18) = v22) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v25 & hAPP(v26, v17) = v24 & hAPP(v1, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Ocoeff(v20, v21) = v22) | ~ (c_Nat_OSuc(v17) = v23) | ~ (c_Polynomial_OpCons(v20, v19, v18) = v21) | ~ (hAPP(v22, v23) = v24) | ~ class_Groups_Ozero(v20) | ? [v25] : (c_Polynomial_Ocoeff(v20, v18) = v25 & hAPP(v25, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly(v21, v20) = v23) | ~ (c_Polynomial_OpCons(v21, v17, v18) = v22) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v25, v20, v26) = v27 & c_Polynomial_Osmult(v21, v19, v18) = v26 & c_Polynomial_Osynthetic__div(v21, v20, v19) = v28 & tc_Polynomial_Opoly(v21) = v25 & ( ~ (v27 = v22) | (v28 = v18 & v24 = v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly(v20, v19) = v21) | ~ (c_Polynomial_Opoly(v20, v18) = v22) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v25] : ? [v26] : (c_Polynomial_Opoly(v20, v25) = v26 & c_Polynomial_Opcompose(v20, v19, v18) = v25 & hAPP(v26, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly__rec(v21, v22, v20, v19, v23) = v24) | ~ (c_Polynomial_OpCons(v22, v18, v17) = v23) | ~ class_Groups_Ozero(v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_If(v21, v30, v20, v31) = v32 & c_Polynomial_Opoly__rec(v21, v22, v20, v19, v17) = v31 & tc_Polynomial_Opoly(v22) = v28 & c_Groups_Ozero__class_Ozero(v28) = v29 & hAPP(v27, v29) = v30 & hAPP(v26, v32) = v24 & hAPP(v25, v17) = v26 & hAPP(v19, v18) = v25 & hAPP(c_fequal, v17) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly__rec(v19, v22, v20, v21, v23) = v24) | ~ (c_Polynomial_OpCons(v22, v18, v17) = v23) | ~ class_Groups_Ozero(v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (c_Polynomial_Opoly__rec(v19, v22, v20, v21, v17) = v33 & tc_Polynomial_Opoly(v22) = v27 & c_Groups_Ozero__class_Ozero(v27) = v28 & c_Groups_Ozero__class_Ozero(v22) = v25 & hAPP(v32, v33) = v34 & hAPP(v31, v17) = v32 & hAPP(v29, v20) = v30 & hAPP(v26, v28) = v29 & hAPP(v21, v25) = v26 & hAPP(v21, v18) = v31 & ( ~ (v30 = v20) | v34 = v24))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v23, v17) = v24) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v1, v20) = v21) | ~ (hAPP(v1, v19) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v23) | ~ (hAPP(v8, v21) = v22) | ~ (hAPP(v7, v19) = v20) | ? [v25] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v25 & hAPP(v20, v25) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v23) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v24] : (c_Groups_Oone__class_Oone(v19) = v24 & ~ c_Orderings_Oord__class_Oless(v19, v24, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Ocomm__semiring__0(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Lattices_Oab__semigroup__idem__mult(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v21 | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v21) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Ocomm__semiring__0(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (c_Power_Opower__class_Opower(v18) = v19) | ~ (c_Nat_OSuc(v17) = v22) | ~ (c_Groups_Ozero__class_Ozero(v18) = v20) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v19, v20) = v21) | ~ class_Power_Opower(v18) | ~ class_Rings_Osemiring__0(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v18 | ~ (c_Polynomial_Opoly__rec(v17, v20, v18, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Groups_Ozero(v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ( ~ (v27 = v18) & c_Groups_Ozero__class_Ozero(v20) = v24 & hAPP(v26, v18) = v27 & hAPP(v25, v22) = v26 & hAPP(v19, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v17 | v19 = v10 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v22, v17) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v8, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v17) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v17, v10) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v17 | v19 = v10 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v22, v17) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v8, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v17, v10) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v17 | v19 = v10 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v22, v17) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v8, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v17 | ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ c_Polynomial_Opdivmod__rel(v21, v20, v19, v18, v17) | ~ class_Fields_Ofield(v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v18 | ~ c_Polynomial_Opdivmod__rel(v23, v22, v21, v20, v19) | ~ c_Polynomial_Opdivmod__rel(v23, v22, v21, v18, v17) | ~ class_Fields_Ofield(v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v18 | ~ (c_Polynomial_Ocoeff(v20, v21) = v22) | ~ (c_Polynomial_Omonom(v20, v17, v19) = v21) | ~ (hAPP(v22, v18) = v23) | ~ class_Groups_Ozero(v20) | c_Groups_Ozero__class_Ozero(v20) = v23) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v17 | ~ c_Polynomial_Opdivmod__rel(v23, v22, v21, v20, v19) | ~ c_Polynomial_Opdivmod__rel(v23, v22, v21, v18, v17) | ~ class_Fields_Ofield(v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v0 | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v7, v18) = v20) | ~ (hAPP(v7, v17) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v23) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v0 | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v7, v18) = v20) | ~ (hAPP(v7, v17) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v0 | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v6, v18) = v20) | ~ (hAPP(v6, v17) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v23) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v0 | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v6, v18) = v20) | ~ (hAPP(v6, v17) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v18 = v17 | ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__semidom(v20) | ? [v24] : (c_Groups_Oone__class_Oone(v20) = v24 & ~ c_Orderings_Oord__class_Oless(v20, v24, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v18 = v17 | ~ (c_HOL_Oequal__class_Oequal(v20) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ hBOOL(v23) | ~ class_HOL_Oequal(v19) | ~ class_Groups_Ozero(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v18 = v17 | ~ (c_Polynomial_Opoly__rec(v23, v22, v21, v20, v19) = v18) | ~ (c_Polynomial_Opoly__rec(v23, v22, v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v18 = v0 | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v7, v19) = v20) | ~ (hAPP(v7, v17) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v23) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v18 = v0 | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v6, v19) = v20) | ~ (hAPP(v6, v17) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v23) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v21, v18) = v22) | ~ (c_Divides_Odiv__class_Omod(v20, v22, v17) = v23) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v17) = v21) | ~ class_Divides_Oring__div(v20) | ? [v24] : (c_Groups_Ominus__class_Ominus(v20, v19, v18) = v24 & c_Divides_Odiv__class_Omod(v20, v24, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v19, v21) = v22) | ~ (c_Divides_Odiv__class_Omod(v20, v22, v17) = v23) | ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v21) | ~ class_Divides_Oring__div(v20) | ? [v24] : (c_Groups_Ominus__class_Ominus(v20, v19, v18) = v24 & c_Divides_Odiv__class_Omod(v20, v24, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(v18, v21, v22) = v23) | ~ (c_Groups_Oone__class_Oone(v18) = v22) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Oring__1(v18) | ? [v24] : ? [v25] : ? [v26] : (c_Groups_Ominus__class_Ominus(v18, v17, v22) = v26 & c_Groups_Oplus__class_Oplus(v18, v17, v22) = v24 & hAPP(v25, v26) = v23 & hAPP(v19, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v21, v22, v17) = v23) | ~ (c_Polynomial_Osmult(v20, v19, v18) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20) | ? [v24] : (c_Divides_Odiv__class_Omod(v21, v18, v17) = v24 & c_Polynomial_Osmult(v20, v19, v24) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v21, v18, v22) = v23) | ~ (c_Polynomial_Osmult(v20, v19, v17) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20) | ? [v24] : ? [v25] : (c_Divides_Odiv__class_Omod(v21, v18, v17) = v25 & c_Groups_Ozero__class_Ozero(v20) = v24 & (v25 = v23 | v24 = v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v21, v18, v17) = v22) | ~ (c_Polynomial_Osmult(v20, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20) | ? [v24] : (c_Divides_Odiv__class_Omod(v21, v24, v17) = v23 & c_Polynomial_Osmult(v20, v19, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v20, v22, v18) = v23) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v17) = v22) | ~ class_Divides_Oring__div(v20) | ? [v24] : ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v20, v25, v18) = v26 & c_Divides_Odiv__class_Omod(v20, v17, v18) = v24 & c_Groups_Ouminus__class_Ouminus(v20, v19) = v25 & ( ~ (v24 = v21) | v26 = v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v20, v22, v18) = v23) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v21, v17) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v24] : (c_Divides_Odiv__class_Omod(v20, v24, v18) = v23 & c_Groups_Oplus__class_Oplus(v20, v19, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v20, v22, v18) = v23) | ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v22) | ~ class_Divides_Oring__div(v20) | ? [v24] : ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v20, v25, v18) = v26 & c_Divides_Odiv__class_Omod(v20, v19, v18) = v24 & c_Groups_Ouminus__class_Ouminus(v20, v17) = v25 & ( ~ (v24 = v21) | v26 = v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v20, v22, v17) = v23) | ~ (c_Divides_Odiv__class_Omod(v20, v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v21, v18) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v24] : (c_Divides_Odiv__class_Omod(v20, v24, v17) = v23 & c_Groups_Oplus__class_Oplus(v20, v19, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v20, v22, v17) = v23) | ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ class_Divides_Osemiring__div(v20) | ? [v24] : (c_Divides_Odiv__class_Omod(v20, v24, v17) = v23 & c_Groups_Oplus__class_Oplus(v20, v19, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v19, v22, v18) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Divides_Osemiring__div(v19) | c_Groups_Ozero__class_Ozero(v19) = v23) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v19, v22, v17) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Divides_Osemiring__div(v19) | c_Groups_Ozero__class_Ozero(v19) = v23) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v22, v18) = v23) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v7, v20) = v21) | ? [v24] : ? [v25] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v25, v18) = v23 & hAPP(v24, v17) = v25 & hAPP(v7, v19) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v22, v17) = v23) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v21) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v8, v19) = v20) | ? [v24] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v24, v17) = v23 & hAPP(v20, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v22, v18) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v18) = v23) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ? [v24] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v24 & hAPP(v20, v24) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v22) = v23) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Odivision__ring(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Rings_Oinverse__class_Oinverse(v19, v18) = v25 & c_Groups_Ozero__class_Ozero(v19) = v24 & hAPP(v26, v17) = v27 & hAPP(v20, v25) = v26 & (v27 = v23 | v24 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v22) = v23) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Odivision__ring__inverse__zero(v19) | ? [v24] : ? [v25] : (c_Rings_Oinverse__class_Oinverse(v19, v18) = v24 & hAPP(v25, v17) = v23 & hAPP(v20, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v21) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Odivision__ring(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Rings_Oinverse__class_Oinverse(v19, v26) = v27 & c_Groups_Ozero__class_Ozero(v19) = v24 & hAPP(v25, v17) = v26 & hAPP(v20, v18) = v25 & (v27 = v23 | v24 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v21) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Odivision__ring__inverse__zero(v19) | ? [v24] : ? [v25] : (c_Rings_Oinverse__class_Oinverse(v19, v25) = v23 & hAPP(v24, v17) = v25 & hAPP(v20, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Oring__1(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Ouminus__class_Ouminus(v19, v25) = v26 & c_Groups_Oone__class_Oone(v19) = v25 & c_Groups_Otimes__class_Otimes(v19) = v24 & hAPP(v30, v17) = v31 & hAPP(v29, v31) = v23 & hAPP(v27, v17) = v28 & hAPP(v24, v28) = v29 & hAPP(v20, v26) = v27 & hAPP(v20, v18) = v30)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Nat_OSuc(v17) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Power_Opower(v19) | ? [v24] : ? [v25] : ? [v26] : (c_Groups_Otimes__class_Otimes(v19) = v24 & hAPP(v25, v26) = v23 & hAPP(v24, v18) = v25 & hAPP(v21, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Nat_OSuc(v17) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Groups_Omonoid__mult(v19) | ? [v24] : ? [v25] : ? [v26] : (c_Groups_Otimes__class_Otimes(v19) = v24 & hAPP(v26, v18) = v23 & hAPP(v24, v25) = v26 & hAPP(v21, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Nat_OSuc(v17) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ? [v24] : ? [v25] : (c_Groups_Oone__class_Oone(v19) = v25 & c_Groups_Ozero__class_Ozero(v19) = v24 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v24, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v25)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Nat_OSuc(v17) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v24] : ? [v25] : (c_Groups_Oone__class_Oone(v19) = v25 & c_Groups_Ozero__class_Ozero(v19) = v24 & ( ~ c_Orderings_Oord__class_Oless(v19, v24, v18) | ~ c_Orderings_Oord__class_Oless(v19, v18, v25) | c_Orderings_Oord__class_Oless(v19, v23, v25)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Nat_OSuc(v17) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v24] : (c_Groups_Oone__class_Oone(v19) = v24 & ( ~ c_Orderings_Oord__class_Oless(v19, v24, v18) | c_Orderings_Oord__class_Oless(v19, v24, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Nat_OSuc(v17) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v24] : ? [v25] : ? [v26] : (c_Groups_Otimes__class_Otimes(v19) = v24 & hAPP(v26, v18) = v23 & hAPP(v24, v25) = v26 & hAPP(v21, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Nat_OSuc(v17) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v24] : ? [v25] : ? [v26] : (c_Groups_Otimes__class_Otimes(v19) = v24 & hAPP(v25, v26) = v23 & hAPP(v24, v18) = v25 & hAPP(v21, v17) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Fields_Ofield__inverse__zero(v19) | ? [v24] : ? [v25] : ? [v26] : (c_Rings_Oinverse__class_Oinverse(v19, v18) = v24 & c_Rings_Oinverse__class_Oinverse(v19, v17) = v26 & hAPP(v25, v26) = v23 & hAPP(v20, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Odivision__ring(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Rings_Oinverse__class_Oinverse(v19, v18) = v27 & c_Rings_Oinverse__class_Oinverse(v19, v17) = v25 & c_Groups_Ozero__class_Ozero(v19) = v24 & hAPP(v26, v27) = v28 & hAPP(v20, v25) = v26 & (v28 = v23 | v24 = v18 | v24 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v21) = v22) | ~ (c_Polynomial_Odegree(v18, v17) = v20) | ~ (c_Polynomial_Ocoeff(v18, v17) = v19) | ~ (c_Polynomial_Osmult(v18, v22, v17) = v23) | ~ (hAPP(v19, v20) = v21) | ~ class_Fields_Ofield(v18) | ? [v24] : ? [v25] : (c_Polynomial_Opoly__gcd(v18, v17, v25) = v23 & tc_Polynomial_Opoly(v18) = v24 & c_Groups_Ozero__class_Ozero(v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tc_fun(v19, v20) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v18) = v22) | ~ (hAPP(v22, v17) = v23) | ~ class_Groups_Ouminus(v20) | ? [v24] : (c_Groups_Ouminus__class_Ouminus(v20, v24) = v23 & hAPP(v18, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tc_fun(v19, v20) = v21) | ~ (hAPP(v18, v22) = v23) | ~ class_Orderings_Oord(v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | ? [v24] : (hAPP(v17, v22) = v24 & c_Orderings_Oord__class_Oless__eq(v20, v23, v24))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tc_fun(v19, v20) = v21) | ~ (hAPP(v17, v22) = v23) | ~ class_Orderings_Oord(v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | ? [v24] : (hAPP(v18, v22) = v24 & c_Orderings_Oord__class_Oless__eq(v20, v24, v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly__gcd(v19, v18, v17) = v20) | ~ (c_Polynomial_Odegree(v19, v20) = v22) | ~ (c_Polynomial_Ocoeff(v19, v20) = v21) | ~ (hAPP(v21, v22) = v23) | ~ class_Fields_Ofield(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Groups_Oone__class_Oone(v19) = v27 & tc_Polynomial_Opoly(v19) = v24 & c_Groups_Ozero__class_Ozero(v24) = v25 & c_Groups_Ozero__class_Ozero(v19) = v26 & ( ~ (v25 = v17) | ~ (v18 = v17) | v26 = v23) & (v27 = v23 | (v25 = v17 & v18 = v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v18) = v21) | ~ (c_Polynomial_Ocoeff(v19, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ class_Groups_Oab__group__add(v19) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v25) = v23 & c_Polynomial_Ocoeff(v19, v18) = v24 & hAPP(v24, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v18) = v21) | ~ (c_Polynomial_Opoly(v19, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ class_Rings_Ocomm__ring(v19) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v25) = v23 & c_Polynomial_Opoly(v19, v18) = v24 & hAPP(v24, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v17) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Polynomial_OpCons(v19, v21, v22) = v23) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Oab__group__add(v19) | ? [v24] : (c_Groups_Ouminus__class_Ouminus(v20, v24) = v23 & c_Polynomial_OpCons(v19, v18, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oring(v19) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v24 & hAPP(v25, v17) = v23 & hAPP(v20, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oring(v19) | ? [v24] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v24 & hAPP(v21, v24) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_RealVector_Oreal__normed__algebra(v19) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v24 & hAPP(v25, v17) = v23 & hAPP(v20, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_RealVector_Oreal__normed__algebra(v19) | ? [v24] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v24 & hAPP(v21, v24) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Oring(v19) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v25) = v23 & hAPP(v24, v17) = v25 & hAPP(v20, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Oring(v19) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v25 & hAPP(v24, v25) = v23 & hAPP(v20, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v21) = v22) | ~ class_RealVector_Oreal__normed__algebra(v19) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v25) = v23 & hAPP(v24, v17) = v25 & hAPP(v20, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v23) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oidom(v19) | ? [v24] : ? [v25] : (hAPP(v24, v17) = v25 & hAPP(v20, v17) = v24 & ( ~ (v25 = v22) | v23 = v18 | v18 = v17) & (v25 = v22 | ( ~ (v23 = v18) & ~ (v18 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v22) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oring(v19) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v24 & hAPP(v25, v17) = v23 & hAPP(v20, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v22) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oring(v19) | ? [v24] : (c_Groups_Ouminus__class_Ouminus(v19, v24) = v23 & hAPP(v21, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v22) | ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ class_RealVector_Oreal__normed__algebra(v19) | ? [v24] : (c_Groups_Ouminus__class_Ouminus(v19, v24) = v23 & hAPP(v21, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v20) = v21) | ~ (c_Groups_Oone__class_Oone(v18) = v20) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v19, v21) = v22) | ~ class_Rings_Ocomm__ring__1(v18) | c_Groups_Ouminus__class_Ouminus(v18, v17) = v23) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oone__class_Oone(v18) = v20) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (c_Groups_Oplus__class_Oplus(v18, v20, v20) = v21) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v19, v21) = v22) | ~ class_Rings_Ocomm__semiring__1(v18) | c_Groups_Oplus__class_Oplus(v18, v17, v17) = v23) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (c_Polynomial_Odegree(v19, v17) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v1, v20) = v21) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v19, v24) = v25 & c_Polynomial_Opcompose(v19, v18, v17) = v24 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v25, v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ c_Polynomial_Opos__poly(v19, v18) | ~ c_Polynomial_Opos__poly(v19, v17) | ~ class_Rings_Olinordered__idom(v19) | c_Polynomial_Opos__poly(v19, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ c_Rings_Odvd__class_Odvd(v20, v23, v17) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v19) = v22) | ~ c_Rings_Odvd__class_Odvd(v20, v23, v17) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v21, v17) = v22) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v19, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v21, v18) = v22) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v19, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v22, v17) = v23) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v24] : ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v19) = v24 & c_Groups_Oplus__class_Oplus(v19, v18, v24) = v25 & hAPP(v26, v17) = v23 & hAPP(v20, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v22) = v23) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v24] : ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v19) = v24 & c_Groups_Oplus__class_Oplus(v19, v17, v24) = v25 & hAPP(v26, v18) = v23 & hAPP(v20, v25) = v26)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Nat_Onat_Onat__case(v20, v19, v18) = v21) | ~ (c_Nat_OSuc(v17) = v22) | ~ (hAPP(v21, v22) = v23) | hAPP(v18, v17) = v23) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v18) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v17) = v23) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless(v21, v18, v17) | c_Orderings_Oord__class_Oless(v21, v22, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v18) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v17) = v23) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | c_Orderings_Oord__class_Oless(v21, v22, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v18) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v17) = v23) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v18, v17) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v22, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v18) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v17) = v23) | ~ class_Groups_Oordered__ab__semigroup__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v18, v17) = v22) | ~ (c_Polynomial_Osmult(v20, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v24] : ? [v25] : (c_Groups_Oplus__class_Oplus(v21, v24, v25) = v23 & c_Polynomial_Osmult(v20, v19, v18) = v24 & c_Polynomial_Osmult(v20, v19, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v18, v22) = v23) | ~ (c_Polynomial_Osmult(v19, v17, v21) = v22) | ~ (c_Polynomial_Osynthetic__div(v19, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v24] : ? [v25] : (c_Polynomial_Opoly(v19, v18) = v24 & c_Polynomial_OpCons(v19, v25, v21) = v23 & hAPP(v24, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v8, v19) = v20) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v24 & hAPP(v20, v24) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v22) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v24 & hAPP(v20, v24) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Ocoeff(v20, v21) = v22) | ~ (c_Polynomial_Osmult(v20, v19, v18) = v21) | ~ (hAPP(v22, v17) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Groups_Otimes__class_Otimes(v20) = v24 & c_Polynomial_Ocoeff(v20, v18) = v26 & hAPP(v26, v17) = v27 & hAPP(v25, v27) = v23 & hAPP(v24, v19) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osmult(v20, v19, v18) = v21) | ~ (c_Polynomial_Opoly(v20, v21) = v22) | ~ (hAPP(v22, v17) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Groups_Otimes__class_Otimes(v20) = v24 & c_Polynomial_Opoly(v20, v18) = v26 & hAPP(v26, v17) = v27 & hAPP(v25, v27) = v23 & hAPP(v24, v19) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osynthetic__div(v21, v20, v19) = v23) | ~ (c_Polynomial_OpCons(v21, v17, v18) = v22) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v24, v20, v25) = v26 & c_Polynomial_Osmult(v21, v19, v18) = v25 & c_Polynomial_Opoly(v21, v20) = v27 & tc_Polynomial_Opoly(v21) = v24 & hAPP(v27, v19) = v28 & ( ~ (v26 = v22) | (v28 = v17 & v23 = v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osynthetic__div(v19, v18, v17) = v20) | ~ (c_Polynomial_Opoly(v19, v18) = v21) | ~ (c_Polynomial_OpCons(v19, v22, v20) = v23) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v24] : ? [v25] : (c_Groups_Oplus__class_Oplus(v24, v18, v25) = v23 & c_Polynomial_Osmult(v19, v17, v20) = v25 & tc_Polynomial_Opoly(v19) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly(v20, v21) = v22) | ~ (c_Polynomial_Opcompose(v20, v19, v18) = v21) | ~ (hAPP(v22, v17) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v24] : ? [v25] : ? [v26] : (c_Polynomial_Opoly(v20, v19) = v24 & c_Polynomial_Opoly(v20, v18) = v25 & hAPP(v25, v17) = v26 & hAPP(v24, v26) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly(v20, v21) = v22) | ~ (c_Polynomial_Omonom(v20, v19, v18) = v21) | ~ (hAPP(v22, v17) = v23) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Power_Opower__class_Opower(v20) = v26 & c_Groups_Otimes__class_Otimes(v20) = v24 & hAPP(v27, v18) = v28 & hAPP(v26, v17) = v27 & hAPP(v25, v28) = v23 & hAPP(v24, v19) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly(v20, v21) = v22) | ~ (c_Polynomial_OpCons(v20, v19, v18) = v21) | ~ (hAPP(v22, v17) = v23) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Otimes__class_Otimes(v20) = v24 & c_Groups_Oplus__class_Oplus(v20, v19, v28) = v23 & c_Polynomial_Opoly(v20, v18) = v26 & hAPP(v26, v17) = v27 & hAPP(v25, v27) = v28 & hAPP(v24, v17) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Nat_OSuc(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v21, v17) = v23) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Nat_OSuc(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v21, v17) = v23) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Nat_OSuc(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v21, v17) = v23) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Nat_OSuc(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v21, v17) = v23) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ (hAPP(v18, v21) = v22) | ~ (hAPP(v18, v17) = v23) | ~ hBOOL(v22) | ~ class_Groups_Ozero(v19) | hBOOL(v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Polynomial_OpCons(v19, v24, v25) = v27 & hAPP(v18, v27) = v28 & hAPP(v18, v25) = v26 & hBOOL(v26) & ~ hBOOL(v28))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v23) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v23) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v17) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v23) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v17) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v18) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v17) = v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v8, v21) = v22) | ~ (hAPP(v8, v19) = v20) | ? [v24] : ? [v25] : (hAPP(v24, v17) = v25 & hAPP(v20, v25) = v23 & hAPP(v8, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v7, v21) = v22) | ~ (hAPP(v7, v19) = v20) | ? [v24] : ? [v25] : (hAPP(v24, v17) = v25 & hAPP(v20, v25) = v23 & hAPP(v1, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v19) = v20) | ? [v24] : ? [v25] : (hAPP(v24, v17) = v25 & hAPP(v20, v25) = v23 & hAPP(v1, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v18) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v22, v17) = v23) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v18) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v22) = v23) | ~ (hAPP(v8, v19) = v20) | ~ (hAPP(v8, v18) = v21) | ? [v24] : ? [v25] : (hAPP(v25, v17) = v23 & hAPP(v20, v18) = v24 & hAPP(v8, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v22) = v23) | ~ (hAPP(v7, v19) = v20) | ~ (hAPP(v1, v18) = v21) | ? [v24] : ? [v25] : (hAPP(v25, v17) = v23 & hAPP(v20, v18) = v24 & hAPP(v7, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v22) = v23) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v18) = v21) | ? [v24] : ? [v25] : (hAPP(v25, v17) = v23 & hAPP(v20, v18) = v24 & hAPP(v1, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v18, v22) = v23) | ~ (hAPP(v8, v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17) | ~ hBOOL(v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v19) = v26 & hAPP(v18, v26) = v27 & hAPP(v18, v24) = v25 & hBOOL(v25) & ~ hBOOL(v27)) | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v22, v21) = v24 & hAPP(v18, v24) = v25 & hBOOL(v25)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v20, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v18) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Groups_Ocomm__monoid__add(v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v17) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v20, v19) = v24 & c_Polynomial_Odegree(v20, v18) = v25 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v25, v17) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v17)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v20, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v18) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Groups_Ocomm__monoid__add(v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v17) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v20, v19) = v24 & c_Polynomial_Odegree(v20, v18) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v25, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v18) = v21) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Omult__zero(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v18) = v21) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v19, v17) = v20) | ~ class_RealVector_Oreal__normed__algebra(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v18) = v21) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Nat_OSuc(v18) = v19) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v1, v19) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | v17 = v0 | ~ (c_Power_Opower__class_Opower(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Power_Opower(v18) | ~ class_Rings_Osemiring__0(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Power_Opower__class_Opower(v18) = v19) | ~ (c_Groups_Oone__class_Oone(v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Groups_Omonoid__mult(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Rings_Omult__zero(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_RealVector_Oreal__normed__algebra(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v1, v17) = v21) | ~ (hAPP(v1, v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (hAPP(v21, v0) = v22) | ~ (hAPP(v19, v0) = v20) | ~ (hAPP(v1, v18) = v19) | ~ (hAPP(v1, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v21) | ~ class_Groups_Ogroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v21) = v22) | ~ class_Groups_Ogroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Groups_Oone__class_Oone(v18) = v21) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v19, v17) = v20) | ~ class_Groups_Ocomm__monoid__mult(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Groups_Oone__class_Oone(v18) = v21) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v19, v17) = v20) | ~ class_Groups_Omonoid__mult(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Groups_Oone__class_Oone(v18) = v21) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Groups_Oone__class_Oone(v18) = v20) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Groups_Ocomm__monoid__mult(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Groups_Oone__class_Oone(v18) = v20) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Groups_Omonoid__mult(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Groups_Oone__class_Oone(v18) = v20) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v17 | ~ (c_Polynomial_Ocoeff(v19, v20) = v21) | ~ (c_Polynomial_Omonom(v19, v17, v18) = v20) | ~ (hAPP(v21, v18) = v22) | ~ class_Groups_Ozero(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v3 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v18) = v22) | ~ (c_Nat_OSuc(v20) = v21) | ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v0 | ~ (c_Polynomial_Odegree(v18, v21) = v22) | ~ (c_Polynomial_OpCons(v18, v17, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Groups_Ozero(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v18 | ~ (c_Polynomial_OpCons(v21, v20, v19) = v22) | ~ (c_Polynomial_OpCons(v21, v18, v17) = v22) | ~ class_Groups_Ozero(v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v17 | v18 = v0 | ~ (hAPP(v22, v18) = v21) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v1, v19) = v20) | ~ (hAPP(v1, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v17 | ~ (c_Polynomial_OpCons(v21, v20, v19) = v22) | ~ (c_Polynomial_OpCons(v21, v18, v17) = v22) | ~ class_Groups_Ozero(v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v10 | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v8, v19) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v22) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v10 | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v8, v19) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v0 | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v18 = v17 | ~ (c_Nat_OSuc(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v1, v20) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v18 = v17 | ~ (c_HOL_Oequal__class_Oequal(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ hBOOL(v22) | ~ class_HOL_Oequal(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v18 = v17 | ~ (c_If(v22, v21, v20, v19) = v18) | ~ (c_If(v22, v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ (c_Groups_Ominus__class_Ominus(v21, v18, v17) = v22) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ class_Groups_Oordered__ab__group__add(v21) | c_Orderings_Oord__class_Oless(v21, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ (c_Groups_Ominus__class_Ominus(v21, v18, v17) = v22) | ~ c_Orderings_Oord__class_Oless(v21, v18, v17) | ~ class_Groups_Oordered__ab__group__add(v21) | c_Orderings_Oord__class_Oless(v21, v20, v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ (c_Groups_Ominus__class_Ominus(v21, v18, v17) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ (c_Groups_Ominus__class_Ominus(v21, v18, v17) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v19, v18) = v21) | ~ (c_Divides_Odiv__class_Omod(v20, v21, v17) = v22) | ~ class_Divides_Oring__div(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Ominus__class_Ominus(v20, v23, v24) = v25 & c_Divides_Odiv__class_Omod(v20, v25, v17) = v22 & c_Divides_Odiv__class_Omod(v20, v19, v17) = v23 & c_Divides_Odiv__class_Omod(v20, v18, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v19, v18) = v21) | ~ (c_Divides_Odiv__class_Omod(v20, v21, v17) = v22) | ~ class_Divides_Oring__div(v20) | ? [v23] : ? [v24] : (c_Groups_Ominus__class_Ominus(v20, v23, v18) = v24 & c_Divides_Odiv__class_Omod(v20, v24, v17) = v22 & c_Divides_Odiv__class_Omod(v20, v19, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v19, v18) = v21) | ~ (c_Divides_Odiv__class_Omod(v20, v21, v17) = v22) | ~ class_Divides_Oring__div(v20) | ? [v23] : ? [v24] : (c_Groups_Ominus__class_Ominus(v20, v19, v23) = v24 & c_Divides_Odiv__class_Omod(v20, v24, v17) = v22 & c_Divides_Odiv__class_Omod(v20, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v20, v21) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ class_Rings_Odivision__ring(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Ominus__class_Ominus(v19, v17, v18) = v26 & c_Groups_Otimes__class_Otimes(v19) = v24 & c_Groups_Ozero__class_Ozero(v19) = v23 & hAPP(v28, v21) = v29 & hAPP(v25, v26) = v27 & hAPP(v24, v27) = v28 & hAPP(v24, v20) = v25 & (v29 = v22 | v23 = v18 | v23 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v21) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v21) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v17) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v21, v19) = v22) | ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ class_Divides_Osemiring__div(v20) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | c_Divides_Odiv__class_Omod(v20, v17, v19) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v21, v18) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ class_Divides_Osemiring__div(v20) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(v20, v24, v18) = v22 & c_Divides_Odiv__class_Omod(v20, v19, v18) = v23 & c_Groups_Oplus__class_Oplus(v20, v23, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v21, v17) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v18) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v23] : (c_Divides_Odiv__class_Omod(v20, v18, v17) = v23 & c_Groups_Ouminus__class_Ouminus(v20, v23) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v21, v17) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ class_Divides_Osemiring__div(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Divides_Odiv__class_Omod(v20, v25, v17) = v22 & c_Divides_Odiv__class_Omod(v20, v19, v17) = v23 & c_Divides_Odiv__class_Omod(v20, v18, v17) = v24 & c_Groups_Oplus__class_Oplus(v20, v23, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v21, v17) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ class_Divides_Osemiring__div(v20) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(v20, v24, v17) = v22 & c_Divides_Odiv__class_Omod(v20, v19, v17) = v23 & c_Groups_Oplus__class_Oplus(v20, v23, v18) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v21, v17) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ class_Divides_Osemiring__div(v20) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(v20, v24, v17) = v22 & c_Divides_Odiv__class_Omod(v20, v18, v17) = v23 & c_Groups_Oplus__class_Oplus(v20, v19, v23) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v18, v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | c_Divides_Odiv__class_Omod(v20, v18, v17) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v23] : (c_Divides_Odiv__class_Omod(v20, v23, v17) = v22 & c_Groups_Ouminus__class_Ouminus(v20, v18) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ (c_Polynomial_Opoly__gcd(v19, v18, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Rings_Oinverse__class_Oinverse(v19, v27) = v28 & c_Polynomial_Opoly__gcd(v19, v17, v18) = v24 & c_Polynomial_Odegree(v19, v17) = v26 & c_Polynomial_Ocoeff(v19, v17) = v25 & c_Polynomial_Osmult(v19, v28, v17) = v29 & c_Groups_Ozero__class_Ozero(v20) = v23 & hAPP(v25, v26) = v27 & ( ~ (v23 = v18) | v29 = v24) & (v24 = v22 | v23 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ (c_Polynomial_Opoly__gcd(v19, v18, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v23] : ? [v24] : (c_Polynomial_Opoly__gcd(v19, v17, v18) = v24 & c_Groups_Ozero__class_Ozero(v20) = v23 & (v24 = v22 | v23 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ (c_Polynomial_Odegree(v19, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v23] : ? [v24] : (c_Polynomial_Odegree(v19, v18) = v24 & c_Groups_Ozero__class_Ozero(v20) = v23 & (v23 = v21 | v23 = v18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v24)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v19, v21, v17) = v22) | ~ (c_Divides_Odiv__class_Omod(v19, v18, v17) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v20) = v21) | ~ class_Divides_Oring__div(v19) | ? [v23] : (c_Divides_Odiv__class_Omod(v19, v23, v17) = v22 & c_Groups_Ouminus__class_Ouminus(v19, v18) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v7, v19) = v20) | ? [v23] : ? [v24] : ? [v25] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v25, v18) = v22 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v18) = v23 & hAPP(v24, v17) = v25 & hAPP(v7, v23) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v8, v19) = v20) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v24, v17) = v22 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v23 & hAPP(v20, v23) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v1, v20) = v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v24, v26) = v22 & hAPP(v25, v17) = v26 & hAPP(v23, v17) = v24 & hAPP(v1, v19) = v23 & hAPP(v1, v18) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v21) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v1, v19) = v20) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v23, v24) = v22 & hAPP(v20, v18) = v23 & hAPP(v20, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower_Opower(v20, v19, v18) = v21) | ~ (hAPP(v21, v17) = v22) | hAPP(v22, v0) = v19) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oidom(v19) | ? [v23] : ? [v24] : ? [v25] : (hAPP(v24, v5) = v25 & hAPP(v21, v5) = v23 & hAPP(v20, v17) = v24 & ( ~ (v25 = v23) | v22 = v18 | v18 = v17) & (v25 = v23 | ( ~ (v22 = v18) & ~ (v18 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ class_Groups_Omonoid__mult(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v3) = v24 & c_Groups_Otimes__class_Otimes(v19) = v23 & hAPP(v26, v17) = v22 & hAPP(v23, v25) = v26 & hAPP(v21, v24) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ class_Rings_Ocomm__semiring__1(v19) | c_Rings_Odvd__class_Odvd(v19, v17, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | c_Rings_Odvd__class_Odvd(v19, v17, v22) | ? [v23] : ( ~ (v23 = v17) & c_Groups_Oone__class_Oone(v19) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Power_Opower(v19) | ~ class_Rings_Ozero__neq__one(v19) | ~ class_Rings_Ono__zero__divisors(v19) | ~ class_Rings_Omult__zero(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ (v23 = v22) | (v22 = v18 & ~ (v17 = v0))) & ( ~ (v23 = v18) | v22 = v18 | v17 = v0))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | ~ class_Rings_Olinordered__semidom(v19) | ? [v23] : (c_Groups_Oone__class_Oone(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | c_Orderings_Oord__class_Oless(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Groups_Oone__class_Oone(v19) = v24 & c_Groups_Otimes__class_Otimes(v19) = v25 & c_Groups_Ozero__class_Ozero(v19) = v23 & hAPP(v26, v22) = v27 & hAPP(v25, v18) = v26 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless(v19, v18, v24) | c_Orderings_Oord__class_Oless(v19, v27, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v19) = v23 & c_Groups_Otimes__class_Otimes(v19) = v24 & hAPP(v25, v22) = v26 & hAPP(v24, v18) = v25 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | c_Orderings_Oord__class_Oless(v19, v22, v26)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v23] : (c_Groups_Oone__class_Oone(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | c_Orderings_Oord__class_Oless__eq(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | c_Orderings_Oord__class_Oless(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | c_Orderings_Oord__class_Oless__eq(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oring__1__no__zero__divisors(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ (v23 = v22) | v22 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ class_Rings_Oidom(v19) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v25 & hAPP(v22, v5) = v24 & hAPP(v21, v5) = v23 & ( ~ (v24 = v23) | v25 = v18 | v18 = v17) & (v24 = v23 | ( ~ (v25 = v18) & ~ (v18 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v21) = v22) | ~ class_Rings_Odivision__ring(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Otimes__class_Otimes(v19) = v24 & c_Groups_Oplus__class_Oplus(v19, v18, v17) = v26 & c_Groups_Ozero__class_Ozero(v19) = v23 & hAPP(v28, v21) = v29 & hAPP(v25, v26) = v27 & hAPP(v24, v27) = v28 & hAPP(v24, v20) = v25 & (v29 = v22 | v23 = v18 | v23 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v21) = v22) | ~ class_Fields_Ofield(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Otimes__class_Otimes(v19) = v24 & c_Groups_Oplus__class_Oplus(v19, v18, v17) = v25 & c_Groups_Ozero__class_Ozero(v19) = v23 & hAPP(v28, v21) = v29 & hAPP(v26, v20) = v27 & hAPP(v24, v27) = v28 & hAPP(v24, v25) = v26 & (v29 = v22 | v23 = v18 | v23 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v21) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Odivision__ring(v18) | ? [v23] : ? [v24] : (c_Groups_Oone__class_Oone(v18) = v24 & c_Groups_Ozero__class_Ozero(v18) = v23 & (v24 = v22 | v23 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v20) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Rings_Odivision__ring(v18) | ? [v23] : ? [v24] : (c_Groups_Oone__class_Oone(v18) = v24 & c_Groups_Ozero__class_Ozero(v18) = v23 & (v24 = v22 | v23 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v20) | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_Fields_Ofield(v18) | ? [v23] : ? [v24] : (c_Groups_Oone__class_Oone(v18) = v24 & c_Groups_Ozero__class_Ozero(v18) = v23 & (v24 = v22 | v23 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v20, v21, v17) = v22) | ~ (c_Polynomial_Opoly__gcd(v20, v19, v18) = v21) | ~ class_Fields_Ofield(v20) | ? [v23] : (c_Polynomial_Opoly__gcd(v20, v19, v23) = v22 & c_Polynomial_Opoly__gcd(v20, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v20, v19, v21) = v22) | ~ (c_Polynomial_Opoly__gcd(v20, v18, v17) = v21) | ~ class_Fields_Ofield(v20) | ? [v23] : (c_Polynomial_Opoly__gcd(v20, v23, v17) = v22 & c_Polynomial_Opoly__gcd(v20, v19, v18) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v20, v19, v21) = v22) | ~ (c_Polynomial_Opoly__gcd(v20, v18, v17) = v21) | ~ class_Fields_Ofield(v20) | ? [v23] : (c_Polynomial_Opoly__gcd(v20, v19, v17) = v23 & c_Polynomial_Opoly__gcd(v20, v18, v23) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v20, v19, v17) = v21) | ~ (c_Polynomial_Opoly__gcd(v20, v18, v21) = v22) | ~ class_Fields_Ofield(v20) | ? [v23] : (c_Polynomial_Opoly__gcd(v20, v19, v23) = v22 & c_Polynomial_Opoly__gcd(v20, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v19, v21, v17) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v18) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | c_Polynomial_Opoly__gcd(v19, v18, v17) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v19, v18, v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | c_Polynomial_Opoly__gcd(v19, v18, v17) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ (c_Polynomial_Osmult(v19, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__ring(v19) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v20, v17) = v23 & c_Polynomial_Osmult(v19, v18, v23) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ (c_Polynomial_Osmult(v19, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__ring(v19) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v23 & c_Polynomial_Osmult(v19, v23, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ (c_Polynomial_Omonom(v19, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Oab__group__add(v19) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v23 & c_Polynomial_Omonom(v19, v23, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ (c_Polynomial_OpCons(v19, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Oab__group__add(v19) | ? [v23] : ? [v24] : (c_Groups_Ouminus__class_Ouminus(v20, v17) = v24 & c_Groups_Ouminus__class_Ouminus(v19, v18) = v23 & c_Polynomial_OpCons(v19, v23, v24) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v17) = v21) | ~ (c_Polynomial_Osmult(v19, v18, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__ring(v19) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v20, v23) = v22 & c_Polynomial_Osmult(v19, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v21) = v22) | ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ (hAPP(v20, v17) = v21) | ~ class_Groups_Oab__group__add(v19) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v23, v18) = v24 & c_Polynomial_Ocoeff(v19, v24) = v25 & tc_Polynomial_Opoly(v19) = v23 & hAPP(v25, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v21) = v22) | ~ (c_Polynomial_Opoly(v19, v18) = v20) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Ocomm__ring(v19) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v23, v18) = v24 & c_Polynomial_Opoly(v19, v24) = v25 & tc_Polynomial_Opoly(v19) = v23 & hAPP(v25, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v21) = v22) | ~ class_Groups_Ogroup__add(v19) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v19, v23) = v22 & c_Groups_Oplus__class_Oplus(v19, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Polynomial_Opoly(v19, v17) = v20) | ~ (hAPP(v20, v21) = v22) | ~ class_Rings_Oidom(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oone__class_Oone(v19) = v24 & c_Polynomial_OpCons(v19, v24, v25) = v26 & c_Polynomial_OpCons(v19, v18, v26) = v27 & tc_Polynomial_Opoly(v19) = v23 & c_Groups_Ozero__class_Ozero(v23) = v25 & c_Groups_Ozero__class_Ozero(v19) = v28 & ( ~ (v28 = v22) | c_Rings_Odvd__class_Odvd(v23, v27, v17)) & (v28 = v22 | ~ c_Rings_Odvd__class_Odvd(v23, v27, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v21) = v22) | ~ class_Groups_Oab__group__add(v19) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v19, v23) = v22 & c_Groups_Oplus__class_Oplus(v19, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ (c_Polynomial_Ocoeff(v18, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Ocomm__semiring__1(v18) | ? [v23] : ? [v24] : (c_Groups_Oone__class_Oone(v18) = v23 & c_Groups_Ozero__class_Ozero(v18) = v24 & ( ~ (v17 = v0) | v23 = v22) & (v24 = v22 | v17 = v0))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ (c_Polynomial_Opoly(v18, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Ocomm__semiring__1(v18) | c_Groups_Oone__class_Oone(v18) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v20, v19) = v21) | ~ (c_Polynomial_Odegree(v20, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v18) | ~ class_Groups_Ocomm__monoid__add(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Odegree(v20, v24) = v25 & c_Groups_Oplus__class_Oplus(v23, v19, v17) = v24 & tc_Polynomial_Opoly(v20) = v23 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v25, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v20, v19) = v21) | ~ (c_Polynomial_Odegree(v20, v17) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v18) | ~ class_Groups_Ocomm__monoid__add(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Odegree(v20, v24) = v25 & c_Groups_Oplus__class_Oplus(v23, v19, v17) = v24 & tc_Polynomial_Opoly(v20) = v23 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v25, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v19, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocomm__monoid__add(v19) | ? [v23] : ? [v24] : (c_Polynomial_Odegree(v19, v18) = v23 & c_Polynomial_Odegree(v19, v17) = v24 & (v24 = v22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v19, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v17, v18) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocomm__monoid__add(v19) | ? [v23] : ? [v24] : (c_Polynomial_Odegree(v19, v18) = v23 & c_Polynomial_Odegree(v19, v17) = v24 & (v24 = v22 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (c_Polynomial_Odegree(v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v22) | ~ class_Rings_Oidom(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Polynomial_Odegree(v19, v27) = v28 & c_Groups_Otimes__class_Otimes(v23) = v25 & tc_Polynomial_Opoly(v19) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & hAPP(v26, v17) = v27 & hAPP(v25, v18) = v26 & (v28 = v22 | v24 = v18 | v24 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (c_Polynomial_Odegree(v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v22) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Odegree(v19, v26) = v27 & c_Groups_Otimes__class_Otimes(v23) = v24 & tc_Polynomial_Opoly(v19) = v23 & hAPP(v25, v17) = v26 & hAPP(v24, v18) = v25 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v27, v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v1, v20) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Power_Opower__class_Opower(v23) = v24 & c_Polynomial_Odegree(v19, v26) = v27 & tc_Polynomial_Opoly(v19) = v23 & hAPP(v25, v17) = v26 & hAPP(v24, v18) = v25 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v27, v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v17) = v19) | ~ (hAPP(v21, v18) = v22) | ~ class_Rings_Odvd(v20) | c_Rings_Odvd__class_Odvd(v20, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Olinordered__semiring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless(v19, v17, v23) | c_Orderings_Oord__class_Oless(v19, v22, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Oordered__cancel__semiring(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v23) | c_Orderings_Oord__class_Oless__eq(v19, v22, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Olinordered__idom(v19) | c_Orderings_Oord__class_Oless__eq(v19, v22, v18) | ? [v23] : ? [v24] : (c_Groups_Oone__class_Oone(v19) = v24 & c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v17) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v24)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | c_Rings_Odvd__class_Odvd(v19, v18, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v18) = v22) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v23] : (hAPP(v23, v17) = v22 & hAPP(v20, v18) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semiring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v22) | ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | c_Orderings_Oord__class_Oless(v19, v23, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semiring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v22) | ~ c_Orderings_Oord__class_Oless(v19, v23, v17) | c_Orderings_Oord__class_Oless(v19, v23, v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semiring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless(v19, v23, v17) | c_Orderings_Oord__class_Oless(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semiring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless(v19, v17, v23) | c_Orderings_Oord__class_Oless(v19, v22, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semiring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v17) | ~ c_Orderings_Oord__class_Oless(v19, v18, v23) | c_Orderings_Oord__class_Oless(v19, v22, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Odivision__ring(v19) | ? [v23] : ? [v24] : (c_Rings_Oinverse__class_Oinverse(v19, v18) = v24 & c_Groups_Oone__class_Oone(v19) = v23 & ( ~ (v23 = v22) | v24 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Lattices_Oab__semigroup__idem__mult(v19) | hAPP(v21, v22) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oordered__ring(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v23) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v23) | c_Orderings_Oord__class_Oless__eq(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oordered__ring(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & (c_Orderings_Oord__class_Oless__eq(v19, v23, v22) | (( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v17)) & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v23) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v23)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oordered__cancel__semiring(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v17) | c_Orderings_Oord__class_Oless__eq(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oordered__cancel__semiring(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v23) | c_Orderings_Oord__class_Oless__eq(v19, v22, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oordered__cancel__semiring(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v17) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v23) | c_Orderings_Oord__class_Oless__eq(v19, v22, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oordered__cancel__semiring(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & (c_Orderings_Oord__class_Oless__eq(v19, v22, v23) | (( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v23)) & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v17) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v23)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oring(v19) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v23 & c_Groups_Ouminus__class_Ouminus(v19, v17) = v25 & hAPP(v24, v25) = v22 & hAPP(v20, v23) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__idom(v19) | c_Orderings_Oord__class_Oless__eq(v19, v22, v18) | ? [v23] : ? [v24] : (c_Groups_Oone__class_Oone(v19) = v24 & c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v17) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v24)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v23] : (c_Groups_Oone__class_Oone(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless(v19, v23, v17) | c_Orderings_Oord__class_Oless(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Oring__no__zero__divisors(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ (v23 = v22) | v22 = v18 | v22 = v17) & (v23 = v22 | ( ~ (v23 = v18) & ~ (v23 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Ono__zero__divisors(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ (v23 = v22) | v22 = v18 | v22 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__ring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless(v19, v18, v23) | ~ c_Orderings_Oord__class_Oless(v19, v17, v23) | c_Orderings_Oord__class_Oless(v19, v23, v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__ring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v22) | (c_Orderings_Oord__class_Oless__eq(v19, v23, v18) & c_Orderings_Oord__class_Oless__eq(v19, v23, v17)) | (c_Orderings_Oord__class_Oless__eq(v19, v18, v23) & c_Orderings_Oord__class_Oless__eq(v19, v17, v23))) & (c_Orderings_Oord__class_Oless__eq(v19, v23, v22) | (( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v17)) & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v23) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v23)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Olinordered__ring__strict(v19) | ? [v23] : (c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v22, v23) | (c_Orderings_Oord__class_Oless__eq(v19, v23, v18) & c_Orderings_Oord__class_Oless__eq(v19, v17, v23)) | (c_Orderings_Oord__class_Oless__eq(v19, v23, v17) & c_Orderings_Oord__class_Oless__eq(v19, v18, v23))) & (c_Orderings_Oord__class_Oless__eq(v19, v22, v23) | (( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v23)) & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v23, v17) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v23)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | c_Rings_Odvd__class_Odvd(v19, v18, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v23] : (hAPP(v23, v18) = v22 & hAPP(v20, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_OAbs__poly(v19, v21) = v22) | ~ (c_Nat_Onat_Onat__case(v19, v18, v20) = v21) | ~ (c_Polynomial_Ocoeff(v19, v17) = v20) | ~ class_Groups_Ozero(v19) | c_Polynomial_OpCons(v19, v18, v17) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v21, v18) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v23] : (c_Groups_Oplus__class_Oplus(v20, v23, v17) = v22 & c_Groups_Oplus__class_Oplus(v20, v19, v18) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v21, v17) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v23] : (c_Groups_Oplus__class_Oplus(v20, v23, v18) = v22 & c_Groups_Oplus__class_Oplus(v20, v19, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v21, v17) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v23] : (c_Groups_Oplus__class_Oplus(v20, v19, v23) = v22 & c_Groups_Oplus__class_Oplus(v20, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v21, v17) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ class_Groups_Oab__semigroup__add(v20) | ? [v23] : (c_Groups_Oplus__class_Oplus(v20, v19, v23) = v22 & c_Groups_Oplus__class_Oplus(v20, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v23] : (c_Groups_Oplus__class_Oplus(v20, v23, v17) = v22 & c_Groups_Oplus__class_Oplus(v20, v19, v18) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v23] : (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v23 & c_Groups_Oplus__class_Oplus(v20, v18, v23) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v21) | ~ class_Groups_Oab__semigroup__add(v20) | ? [v23] : (c_Groups_Oplus__class_Oplus(v20, v23, v17) = v22 & c_Groups_Oplus__class_Oplus(v20, v19, v18) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v21, v22) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v20) | c_Orderings_Oord__class_Oless(v20, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v18, v17) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v20) | c_Orderings_Oord__class_Oless(v20, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v22) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v21, v22) | c_Orderings_Oord__class_Oless__eq(v20, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v22) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | c_Orderings_Oord__class_Oless__eq(v20, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v17, v18) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v21, v22) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v20) | c_Orderings_Oord__class_Oless(v20, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v17, v18) = v22) | ~ c_Orderings_Oord__class_Oless(v20, v19, v17) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v20) | c_Orderings_Oord__class_Oless(v20, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v17, v18) = v22) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v21, v22) | c_Orderings_Oord__class_Oless__eq(v20, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v17, v18) = v22) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v17) | c_Orderings_Oord__class_Oless__eq(v20, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Polynomial_Osmult(v20, v21, v17) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Oplus__class_Oplus(v23, v24, v25) = v22 & c_Polynomial_Osmult(v20, v19, v17) = v24 & c_Polynomial_Osmult(v20, v18, v17) = v25 & tc_Polynomial_Opoly(v20) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v21) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v23] : (c_Groups_Oplus__class_Oplus(v20, v19, v23) = v22 & c_Groups_Oplus__class_Oplus(v20, v18, v17) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v22) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | c_Orderings_Oord__class_Oless(v20, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v22) | ~ class_Groups_Oordered__ab__semigroup__add(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ (c_Polynomial_Omonom(v20, v21, v18) = v22) | ~ class_Groups_Ocomm__monoid__add(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Oplus__class_Oplus(v23, v24, v25) = v22 & c_Polynomial_Omonom(v20, v19, v18) = v24 & c_Polynomial_Omonom(v20, v17, v18) = v25 & tc_Polynomial_Opoly(v20) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v17, v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v17, v18) = v22) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | c_Orderings_Oord__class_Oless(v20, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v17, v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v17, v18) = v22) | ~ class_Groups_Oordered__ab__semigroup__add(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless__eq(v20, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v8, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v22, v10) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v10)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v17) = v22) | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v8, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v22) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v8, v20) = v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v26) = v22 & hAPP(v25, v17) = v26 & hAPP(v23, v17) = v24 & hAPP(v8, v19) = v23 & hAPP(v8, v18) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v21) = v22) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v8, v19) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v22) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v21) = v22) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v8, v19) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v18) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v21) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v8, v19) = v20) | ? [v23] : ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v24) = v22 & hAPP(v20, v18) = v23 & hAPP(v20, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v1, v20) = v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v24, v26) = v22 & hAPP(v25, v17) = v26 & hAPP(v23, v17) = v24 & hAPP(v1, v19) = v23 & hAPP(v1, v18) = v25)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v21) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v7, v19) = v20) | ? [v23] : ? [v24] : ? [v25] : (hAPP(v24, v25) = v22 & hAPP(v20, v18) = v23 & hAPP(v20, v17) = v25 & hAPP(v8, v23) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v21) | ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v1, v19) = v20) | ? [v23] : ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v23, v24) = v22 & hAPP(v20, v18) = v23 & hAPP(v20, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Ocoeff(v18, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ class_Groups_Ozero(v18) | c_Groups_Ozero__class_Ozero(v18) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Ocoeff(v18, v17) = v20) | ~ (c_Polynomial_Ocoeff(v18, v17) = v19) | ~ (hAPP(v20, v21) = v22) | ~ class_Groups_Ozero(v18) | hAPP(v19, v21) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Ocoeff(v18, v17) = v20) | ~ (c_Polynomial_Ocoeff(v18, v17) = v19) | ~ (hAPP(v19, v21) = v22) | ~ class_Groups_Ozero(v18) | hAPP(v20, v21) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Osmult(v20, v19, v21) = v22) | ~ (c_Polynomial_Osmult(v20, v18, v17) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Otimes__class_Otimes(v20) = v23 & c_Polynomial_Osmult(v20, v25, v17) = v22 & hAPP(v24, v18) = v25 & hAPP(v23, v19) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Osmult(v20, v19, v21) = v22) | ~ (c_Polynomial_Omonom(v20, v18, v17) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Otimes__class_Otimes(v20) = v23 & c_Polynomial_Omonom(v20, v25, v17) = v22 & hAPP(v24, v18) = v25 & hAPP(v23, v19) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Osmult(v20, v19, v21) = v22) | ~ (c_Polynomial_OpCons(v20, v18, v17) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Groups_Otimes__class_Otimes(v20) = v23 & c_Polynomial_Osmult(v20, v19, v17) = v26 & c_Polynomial_OpCons(v20, v25, v26) = v22 & hAPP(v24, v18) = v25 & hAPP(v23, v19) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Osynthetic__div(v20, v21, v17) = v22) | ~ (c_Polynomial_OpCons(v20, v19, v18) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Osynthetic__div(v20, v18, v17) = v25 & c_Polynomial_Opoly(v20, v18) = v23 & c_Polynomial_OpCons(v20, v24, v25) = v22 & hAPP(v23, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly(v18, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ (hAPP(v21, v17) = v22) | ~ class_Rings_Ocomm__semiring__0(v18) | c_Groups_Ozero__class_Ozero(v18) = v22) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opcompose(v20, v21, v17) = v22) | ~ (c_Polynomial_OpCons(v20, v19, v18) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Otimes__class_Otimes(v23) = v26 & c_Groups_Oplus__class_Oplus(v23, v25, v29) = v22 & c_Polynomial_Opcompose(v20, v18, v17) = v28 & c_Polynomial_OpCons(v20, v19, v24) = v25 & tc_Polynomial_Opoly(v20) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & hAPP(v27, v28) = v29 & hAPP(v26, v17) = v27)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Omonom(v19, v18, v17) = v21) | ~ (c_Polynomial_OpCons(v19, v20, v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Groups_Ozero(v19) | ? [v23] : (c_Nat_OSuc(v17) = v23 & c_Polynomial_Omonom(v19, v18, v23) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_HOL_Oequal__class_Oequal(v19) = v20) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (hAPP(v21, v17) = v22) | ~ (hAPP(v20, v17) = v21) | ~ class_HOL_Oequal(v18) | ~ class_Groups_Ozero(v18) | hBOOL(v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_HOL_Oequal__class_Oequal(v18) = v19) | ~ (tc_Polynomial_Opoly(v17) = v18) | ~ (c_Groups_Ozero__class_Ozero(v18) = v20) | ~ (hAPP(v21, v20) = v22) | ~ (hAPP(v19, v20) = v21) | ~ class_HOL_Oequal(v17) | ~ class_Groups_Ozero(v17) | hBOOL(v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_OpCons(v20, v19, v18) = v21) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v20, v21, v17) = v22) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(v23, v25, v26) = v22 & c_Polynomial_Osmult(v20, v17, v24) = v25 & c_Polynomial_OpCons(v20, v19, v24) = v26 & tc_Polynomial_Opoly(v20) = v23 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v20, v18, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v20, v18) = v22) | ~ (hAPP(v8, v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v20, v18) = v22) | ~ (hAPP(v1, v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v20, v18) = v22) | ~ (hAPP(v1, v17) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v6, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v6, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v22) | ~ (hAPP(v1, v19) = v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Divides_Odiv__class_Omod(v19, v20, v17) = v21) | ~ (c_Divides_Odiv__class_Omod(v19, v18, v17) = v20) | ~ class_Divides_Osemiring__div(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Polynomial_Opoly__gcd(v18, v20, v17) = v21) | ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ class_Fields_Ofield(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Polynomial_Opoly__gcd(v18, v17, v20) = v21) | ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ class_Fields_Ofield(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Ocancel__semigroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Groups_Oplus__class_Oplus(v19, v17, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v17, v18) = v20) | ~ class_Groups_Ocancel__semigroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Polynomial_Osmult(v18, v17, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Polynomial_Osynthetic__div(v18, v20, v17) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Polynomial_Opcompose(v18, v20, v17) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Polynomial_Omonom(v19, v17, v18) = v21) | ~ (c_Polynomial_Omonom(v19, v17, v18) = v20) | ~ class_Groups_Ozero(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Polynomial_OpCons(v19, v18, v17) = v21) | ~ (c_Polynomial_OpCons(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Polynomial_OpCons(v17, v18, v20) = v21) | ~ (tc_Polynomial_Opoly(v17) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Groups_Ozero(v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v18, v20, v17) = v21) | ~ class_Rings_Ocomm__semiring__0(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (hAPP(v19, v17) = v21) | ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (hAPP(v19, v17) = v21) | ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v18 | ~ (c_Groups_Ominus__class_Ominus(v19, v20, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Ogroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v18 | ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v17) = v21) | ~ class_Groups_Ogroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v18 | ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v18) = v22 & c_Polynomial_Odegree(v19, v17) = v23 & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v17 | ~ (c_Polynomial_Odegree(v19, v20) = v21) | ~ (c_Polynomial_Omonom(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19) | c_Groups_Ozero__class_Ozero(v19) = v18) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v17 | ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v19, v17) = v20) | ~ class_Lattices_Oab__semigroup__idem__mult(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v17 | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v17) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Groups_Ocomm__monoid__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v17 | ~ (c_Groups_Oplus__class_Oplus(v19, v17, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Groups_Ocomm__monoid__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v17, v18) = v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v19) | hBOOL(v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v17 | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v17, v18) = v21) | ~ class_Groups_Ocancel__semigroup__add(v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v17 | ~ (c_Polynomial_Omonom(v20, v19, v18) = v21) | ~ (c_Polynomial_Omonom(v20, v17, v18) = v21) | ~ class_Groups_Ozero(v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v0 | v18 = v17 | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v1, v19) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v18) | ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Divides_Odiv__class_Omod(v21, v20, v19) = v18) | ~ (c_Divides_Odiv__class_Omod(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Power_Opower_Opower(v21, v20, v19) = v18) | ~ (c_Power_Opower_Opower(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v18) | ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Nat_Onat_Onat__case(v21, v20, v19) = v18) | ~ (c_Nat_Onat_Onat__case(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v18) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ class_Groups_Ocancel__ab__semigroup__add(v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ class_Groups_Ocancel__semigroup__add(v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Polynomial_Oorder(v21, v20, v19) = v18) | ~ (c_Polynomial_Oorder(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ (c_Polynomial_Ocoeff(v19, v17) = v21) | ~ class_Groups_Ozero(v19) | ? [v22] : ? [v23] : ? [v24] : ( ~ (v24 = v23) & hAPP(v21, v22) = v24 & hAPP(v20, v22) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Polynomial_Osmult(v21, v20, v19) = v18) | ~ (c_Polynomial_Osmult(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Polynomial_Osynthetic__div(v21, v20, v19) = v18) | ~ (c_Polynomial_Osynthetic__div(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Polynomial_Opcompose(v21, v20, v19) = v18) | ~ (c_Polynomial_Opcompose(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Polynomial_Omonom(v21, v20, v19) = v18) | ~ (c_Polynomial_Omonom(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Polynomial_OpCons(v21, v20, v19) = v18) | ~ (c_Polynomial_OpCons(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v21, v20, v19) = v18) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (hAPP(v20, v18) = v21) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v17 = v10 | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | ? [v22] : ? [v23] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v17 = v10 | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v17) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v23) & ~ hBOOL(v26)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v17 = v10 | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v23) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v23, v10) & ~ hBOOL(v26)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v17 = v10 | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v17) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v23) & ~ hBOOL(v26)) | (v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v23) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v23, v10) & ~ hBOOL(v26)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v17 = v0 | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v1, v17) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v17) & ~ hBOOL(v26)) | (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v20) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ class_Groups_Ogroup__add(v19) | c_Groups_Oplus__class_Oplus(v19, v18, v17) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v20) = v21) | ~ class_Groups_Oab__group__add(v19) | c_Groups_Ominus__class_Ominus(v19, v17, v18) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v17) = v21) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v18) = v20) | ? [v22] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v22) = v21 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v20) | ? [v22] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v17) = v21 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v21) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v21) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v20, v19, v18) = v21) | ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ class_Divides_Oring__div(v20) | ? [v22] : ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(v20, v24, v18) = v23 & c_Divides_Odiv__class_Omod(v20, v22, v18) = v23 & c_Groups_Ouminus__class_Ouminus(v20, v19) = v22 & c_Groups_Ouminus__class_Ouminus(v20, v17) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v22] : (c_Divides_Odiv__class_Omod(v20, v18, v22) = v21 & c_Groups_Ouminus__class_Ouminus(v20, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v21) | ~ class_Divides_Osemiring__div(v20) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v21) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v17) | c_Rings_Odvd__class_Odvd(v20, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v20, v18, v17) = v21) | ~ class_Divides_Osemiring__div(v20) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v17) | c_Rings_Odvd__class_Odvd(v20, v19, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v22] : ? [v23] : ? [v24] : (c_Polynomial_Odegree(v19, v21) = v23 & c_Polynomial_Odegree(v19, v18) = v24 & c_Groups_Ozero__class_Ozero(v20) = v22 & (v22 = v21 | v22 = v18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ class_Divides_Osemiring__div(v20) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v21) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | c_Rings_Odvd__class_Odvd(v20, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v20, v17, v18) = v21) | ~ class_Divides_Osemiring__div(v20) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v17) | c_Rings_Odvd__class_Odvd(v20, v19, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v19, v20, v18) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Divides_Osemiring__div(v19) | c_Divides_Odiv__class_Omod(v19, v17, v18) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v19, v20, v17) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ class_Divides_Oring__div(v19) | ? [v22] : ? [v23] : (c_Divides_Odiv__class_Omod(v19, v23, v17) = v21 & c_Divides_Odiv__class_Omod(v19, v18, v17) = v22 & c_Groups_Ouminus__class_Ouminus(v19, v22) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v19, v20, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Divides_Osemiring__div(v19) | c_Divides_Odiv__class_Omod(v19, v18, v17) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v17) = v21) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v20) | ? [v22] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v22, v17) = v21 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v20) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v20) | ? [v22] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v22) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v20) | ~ (hAPP(v19, v20) = v21) | ~ hBOOL(v21) | ? [v22] : ? [v23] : (hAPP(v19, v18) = v22 & hAPP(v8, v17) = v23 & ( ~ (v17 = v10) | hBOOL(v22)) & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10) | ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v25) = v18) | ~ (hAPP(v23, v24) = v26) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v25) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v25, v10) | ? [v27] : (hAPP(v19, v25) = v27 & hBOOL(v27)))) & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v25) = v18) | ~ (hAPP(v23, v24) = v26) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v25, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v25) | ? [v27] : (hAPP(v19, v25) = v27 & hBOOL(v27)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v20) | ~ (hAPP(v19, v20) = v21) | hBOOL(v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (hAPP(v19, v18) = v22 & hAPP(v8, v17) = v23 & ((v27 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v25) = v18 & hAPP(v23, v24) = v26 & hAPP(v19, v25) = v28 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v25, v17) & c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v25) & ~ hBOOL(v28)) | (v27 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v25) = v18 & hAPP(v23, v24) = v26 & hAPP(v19, v25) = v28 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v25) & c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v25, v10) & ~ hBOOL(v28)) | (v17 = v10 & ~ hBOOL(v22))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v17) = v21) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v19) | ~ (c_Nat_OSuc(v19) = v20) | ? [v22] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v22, v17) = v21 & c_Nat_OSuc(v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v20) | ~ (hAPP(v19, v20) = v21) | ~ hBOOL(v21) | ? [v22] : ? [v23] : (hAPP(v19, v18) = v22 & hAPP(v1, v17) = v23 & ( ~ (v17 = v0) | hBOOL(v22)) & (v17 = v0 | ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v26, v25) = v18) | ~ (hAPP(v23, v24) = v26) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v25, v17) | ? [v27] : (hAPP(v19, v25) = v27 & hBOOL(v27)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v20) | ~ (hAPP(v19, v20) = v21) | hBOOL(v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (hAPP(v19, v18) = v22 & hAPP(v1, v17) = v23 & ((v27 = v18 & ~ (v17 = v0) & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v26, v25) = v18 & hAPP(v23, v24) = v26 & hAPP(v19, v25) = v28 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v25, v17) & ~ hBOOL(v28)) | (v17 = v0 & ~ hBOOL(v22))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Power_Opower__class_Opower(v17) = v18) | ~ (c_Groups_Ozero__class_Ozero(v17) = v19) | ~ (hAPP(v20, v0) = v21) | ~ (hAPP(v18, v19) = v20) | ~ class_Power_Opower(v17) | ~ class_Rings_Osemiring__0(v17) | c_Groups_Oone__class_Oone(v17) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v21) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v20) | ~ class_Fields_Olinordered__field(v19) | ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | c_Orderings_Oord__class_Oless(v19, v20, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ~ c_Orderings_Oord__class_Oless(v19, v22, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v21) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v20) | ~ class_Fields_Olinordered__field(v19) | ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | c_Orderings_Oord__class_Oless(v19, v20, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ~ c_Orderings_Oord__class_Oless(v19, v17, v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v21) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v20) | ~ class_Fields_Olinordered__field(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless__eq(v19, v20, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ~ c_Orderings_Oord__class_Oless(v19, v22, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v21) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v20) | ~ class_Fields_Olinordered__field(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless__eq(v19, v20, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ~ c_Orderings_Oord__class_Oless(v19, v17, v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ class_Fields_Olinordered__field(v19) | ~ c_Orderings_Oord__class_Oless(v19, v20, v21) | c_Orderings_Oord__class_Oless(v19, v17, v18) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ~ c_Orderings_Oord__class_Oless(v19, v22, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ class_Fields_Olinordered__field(v19) | ~ c_Orderings_Oord__class_Oless(v19, v20, v21) | c_Orderings_Oord__class_Oless(v19, v17, v18) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ~ c_Orderings_Oord__class_Oless(v19, v17, v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ class_Fields_Olinordered__field(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v20, v21) | c_Orderings_Oord__class_Oless__eq(v19, v17, v18) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ~ c_Orderings_Oord__class_Oless(v19, v22, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v21) | ~ class_Fields_Olinordered__field(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v20, v21) | c_Orderings_Oord__class_Oless__eq(v19, v17, v18) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ~ c_Orderings_Oord__class_Oless(v19, v17, v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless(v21, v18, v17) | ~ class_Orderings_Oord(v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless(v21, v18, v17) | ~ class_Orderings_Oord(v20) | c_Orderings_Oord__class_Oless__eq(v21, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ class_Orderings_Oord(v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | c_Orderings_Oord__class_Oless(v21, v18, v17) | c_Orderings_Oord__class_Oless__eq(v21, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Opoly__gcd(v18, v17, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Fields_Ofield(v18) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Rings_Oinverse__class_Oinverse(v18, v24) = v25 & c_Polynomial_Odegree(v18, v17) = v23 & c_Polynomial_Ocoeff(v18, v17) = v22 & c_Polynomial_Osmult(v18, v25, v17) = v21 & hAPP(v22, v23) = v24)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Ogroup__add(v19) | ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v23 & c_Groups_Ouminus__class_Ouminus(v19, v17) = v22 & c_Groups_Oplus__class_Oplus(v19, v22, v23) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oab__group__add(v19) | ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v22 & c_Groups_Ouminus__class_Ouminus(v19, v17) = v23 & c_Groups_Oplus__class_Oplus(v19, v22, v23) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ c_Orderings_Oord__class_Oless(v19, v18, v20) | ~ class_Groups_Oordered__ab__group__add(v19) | c_Orderings_Oord__class_Oless(v19, v17, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ c_Orderings_Oord__class_Oless(v19, v17, v21) | ~ class_Groups_Oordered__ab__group__add(v19) | c_Orderings_Oord__class_Oless(v19, v18, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ class_Lattices_Oboolean__algebra(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless__eq(v19, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ class_Groups_Oordered__ab__group__add(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v20) | c_Orderings_Oord__class_Oless__eq(v19, v17, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ class_Groups_Oordered__ab__group__add(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless__eq(v19, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ class_Groups_Oordered__ab__group__add(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v21) | c_Orderings_Oord__class_Oless__eq(v19, v18, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(v19, v21, v18) | ~ class_Groups_Oordered__ab__group__add(v19) | c_Orderings_Oord__class_Oless(v19, v20, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(v19, v20, v21) | ~ class_Groups_Oordered__ab__group__add(v19) | c_Orderings_Oord__class_Oless(v19, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(v19, v20, v17) | ~ class_Groups_Oordered__ab__group__add(v19) | c_Orderings_Oord__class_Oless(v19, v21, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(v19, v17, v18) | ~ class_Groups_Oordered__ab__group__add(v19) | c_Orderings_Oord__class_Oless(v19, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ class_Lattices_Oboolean__algebra(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v20, v21) | c_Orderings_Oord__class_Oless__eq(v19, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ class_Lattices_Oboolean__algebra(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v18) | c_Orderings_Oord__class_Oless__eq(v19, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ class_Groups_Oordered__ab__group__add(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v21, v18) | c_Orderings_Oord__class_Oless__eq(v19, v20, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ class_Groups_Oordered__ab__group__add(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v20, v21) | c_Orderings_Oord__class_Oless__eq(v19, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ class_Groups_Oordered__ab__group__add(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v20, v17) | c_Orderings_Oord__class_Oless__eq(v19, v21, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21) | ~ class_Groups_Oordered__ab__group__add(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v18) | c_Orderings_Oord__class_Oless__eq(v19, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Polynomial_Osmult(v19, v20, v17) = v21) | ~ class_Rings_Ocomm__ring(v19) | ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(v22, v23) = v21 & c_Polynomial_Osmult(v19, v18, v17) = v23 & tc_Polynomial_Opoly(v19) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Polynomial_Omonom(v19, v20, v17) = v21) | ~ class_Groups_Oab__group__add(v19) | ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(v22, v23) = v21 & c_Polynomial_Omonom(v19, v18, v17) = v23 & tc_Polynomial_Opoly(v19) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ (c_Polynomial_Odegree(v18, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ class_Groups_Oab__group__add(v18) | c_Polynomial_Odegree(v18, v17) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v20) = v21) | ~ class_Groups_Ogroup__add(v19) | c_Groups_Ominus__class_Ominus(v19, v18, v17) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v20) = v21) | ~ class_Groups_Oab__group__add(v19) | c_Groups_Ominus__class_Ominus(v19, v18, v17) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v18, v20) = v21) | ~ class_Rings_Ocomm__ring__1(v19) | c_Groups_Ominus__class_Ominus(v19, v18, v17) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v20) = v21) | ? [v22] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v22) = v21 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v8, v19) = v20) | ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v23) = v21 & hAPP(v22, v17) = v23 & hAPP(v8, v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oone__class_Oone(v17) = v19) | ~ (c_Polynomial_OpCons(v17, v19, v20) = v21) | ~ (tc_Polynomial_Opoly(v17) = v18) | ~ (c_Groups_Ozero__class_Ozero(v18) = v20) | ~ class_Rings_Ocomm__semiring__1(v17) | c_Groups_Oone__class_Oone(v18) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v20) = v21) | ~ (c_Polynomial_Osmult(v19, v18, v17) = v20) | ~ class_Rings_Oidom(v19) | ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v17) = v23 & c_Groups_Ozero__class_Ozero(v19) = v22 & ( ~ (v22 = v18) | v21 = v0) & (v23 = v21 | v22 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v20) = v21) | ~ (c_Polynomial_Osmult(v19, v18, v17) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v22] : (c_Polynomial_Odegree(v19, v17) = v22 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v20) = v21) | ~ (c_Polynomial_Opcompose(v19, v18, v17) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Odegree(v19, v18) = v22 & c_Polynomial_Odegree(v19, v17) = v24 & hAPP(v23, v24) = v25 & hAPP(v1, v22) = v23 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v25))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v20) = v21) | ~ (c_Polynomial_Omonom(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v20) = v21) | ~ (c_Polynomial_OpCons(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19) | ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v17) = v22 & c_Nat_OSuc(v22) = v23 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v20) = v21) | ~ (c_Polynomial_OpCons(v19, v17, v18) = v20) | ~ class_Groups_Ozero(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Odegree(v19, v18) = v24 & c_Nat_OSuc(v24) = v25 & tc_Polynomial_Opoly(v19) = v22 & c_Groups_Ozero__class_Ozero(v22) = v23 & ( ~ (v23 = v18) | v21 = v0) & (v25 = v21 | v23 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v20) = v21) | ~ (c_Polynomial_OpCons(v19, v17, v18) = v20) | ~ class_Groups_Ozero(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Odegree(v19, v18) = v24 & c_Nat_OSuc(v24) = v25 & tc_Polynomial_Opoly(v19) = v22 & c_Groups_Ozero__class_Ozero(v22) = v23 & (v25 = v21 | v23 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (c_Polynomial_Odegree(v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21) | ~ class_Fields_Ofield(v19) | ? [v22] : (c_Divides_Odiv__class_Omod(v22, v18, v17) = v18 & tc_Polynomial_Opoly(v19) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (c_Polynomial_Odegree(v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21) | ~ class_Groups_Ocomm__monoid__add(v19) | ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v23) = v21 & c_Groups_Oplus__class_Oplus(v22, v18, v17) = v23 & tc_Polynomial_Opoly(v19) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (c_Polynomial_Odegree(v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21) | ~ class_Groups_Ocomm__monoid__add(v19) | ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v23) = v21 & c_Groups_Oplus__class_Oplus(v22, v17, v18) = v23 & tc_Polynomial_Opoly(v19) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ (c_Polynomial_Odegree(v19, v17) = v21) | ~ class_Rings_Oidom(v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21) | ? [v22] : ? [v23] : (tc_Polynomial_Opoly(v19) = v22 & c_Groups_Ozero__class_Ozero(v22) = v23 & (v23 = v17 | ~ c_Rings_Odvd__class_Odvd(v22, v18, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v18, v17) = v20) | ~ (c_Polynomial_Ocoeff(v18, v17) = v19) | ~ (hAPP(v19, v20) = v21) | ~ class_Rings_Olinordered__idom(v18) | ? [v22] : (c_Groups_Ozero__class_Ozero(v18) = v22 & ( ~ c_Polynomial_Opos__poly(v18, v17) | c_Orderings_Oord__class_Oless(v18, v22, v21)) & ( ~ c_Orderings_Oord__class_Oless(v18, v22, v21) | c_Polynomial_Opos__poly(v18, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v18, v17) = v20) | ~ (c_Polynomial_Ocoeff(v18, v17) = v19) | ~ (hAPP(v19, v20) = v21) | ~ class_Groups_Ozero(v18) | ? [v22] : ? [v23] : ? [v24] : (tc_Polynomial_Opoly(v18) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & c_Groups_Ozero__class_Ozero(v18) = v22 & ( ~ (v24 = v17) | v22 = v21) & ( ~ (v22 = v21) | v24 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v18, v17) = v20) | ~ (c_Polynomial_Ocoeff(v18, v17) = v19) | ~ (hAPP(v19, v20) = v21) | ~ class_Groups_Ozero(v18) | ? [v22] : ? [v23] : ? [v24] : (tc_Polynomial_Opoly(v18) = v22 & c_Groups_Ozero__class_Ozero(v22) = v23 & c_Groups_Ozero__class_Ozero(v18) = v24 & ( ~ (v24 = v21) | v23 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Olinordered__ring(v18) | ? [v22] : (c_Groups_Ozero__class_Ozero(v18) = v22 & c_Orderings_Oord__class_Oless__eq(v18, v22, v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Olinordered__ring(v18) | ? [v22] : (c_Groups_Ozero__class_Ozero(v18) = v22 & ~ c_Orderings_Oord__class_Oless(v18, v21, v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Otimes__class_Otimes(v18) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Oring__1__no__zero__divisors(v18) | ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(v18, v22) = v23 & c_Groups_Oone__class_Oone(v18) = v22 & ( ~ (v22 = v21) | v23 = v17 | v21 = v17) & (v22 = v21 | ( ~ (v23 = v17) & ~ (v22 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_Onat_Onat__case(v19, v18, v20) = v21) | ~ (c_Polynomial_Ocoeff(v19, v17) = v20) | ~ class_Groups_Ozero(v19) | ? [v22] : (c_Polynomial_Ocoeff(v19, v22) = v21 & c_Polynomial_OpCons(v19, v18, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(v20, v18, v17) | ~ class_Groups_Oordered__comm__monoid__add(v20) | c_Orderings_Oord__class_Oless(v20, v18, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(v20, v18, v17) | ~ class_Rings_Olinordered__semidom(v20) | c_Orderings_Oord__class_Oless(v20, v18, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ~ c_Orderings_Oord__class_Oless(v20, v22, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ class_Groups_Oordered__comm__monoid__add(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | c_Orderings_Oord__class_Oless(v20, v18, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ~ c_Orderings_Oord__class_Oless(v20, v22, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v17) = v21) | ~ class_Groups_Oordered__comm__monoid__add(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | c_Orderings_Oord__class_Oless__eq(v20, v18, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ c_Polynomial_Opos__poly(v19, v18) | ~ c_Polynomial_Opos__poly(v19, v17) | ~ class_Rings_Olinordered__idom(v19) | c_Polynomial_Opos__poly(v19, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v18, v17) = v21) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ c_Rings_Odvd__class_Odvd(v20, v19, v17) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v19, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v17, v19) = v21) | ~ class_Groups_Oordered__comm__monoid__add(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | c_Orderings_Oord__class_Oless__eq(v20, v18, v21) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v19))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v18) = v20) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v22) = v21 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v20) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v22, v17) = v21 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v20) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v17) = v22 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v22) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v20) = v21) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v22) = v21 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v18) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v21) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v8, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v11, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v21) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v8, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v17, v11)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v18) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v18) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v22) = v21 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v17) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v20) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v17) = v21 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v20) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v22 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v22) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v20) = v21) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v22) = v21 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v20) = v21) | ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ? [v22] : (c_Nat_OSuc(v17) = v22 & hAPP(v19, v22) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v20) = v21) | ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ? [v22] : ? [v23] : (c_Nat_OSuc(v18) = v22 & hAPP(v23, v17) = v21 & hAPP(v1, v22) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Ocoeff(v19, v20) = v21) | ~ (c_Polynomial_OpCons(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19) | hAPP(v21, v0) = v18) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Ocoeff(v19, v20) = v21) | ~ (c_Polynomial_OpCons(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19) | ? [v22] : (c_Nat_Onat_Onat__case(v19, v18, v22) = v21 & c_Polynomial_Ocoeff(v19, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ (hAPP(v20, v17) = v21) | ~ class_Groups_Ozero(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Odegree(v19, v18) = v22 & tc_Polynomial_Opoly(v19) = v24 & c_Groups_Ozero__class_Ozero(v24) = v25 & c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ (v23 = v21) | v25 = v18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ (hAPP(v20, v17) = v21) | ~ class_Groups_Ozero(v19) | ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v18) = v23 & c_Groups_Ozero__class_Ozero(v19) = v22 & (v22 = v21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ (hAPP(v20, v17) = v21) | ~ class_Groups_Ozero(v19) | ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v18) = v22 & c_Groups_Ozero__class_Ozero(v19) = v23 & (v23 = v21 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Osmult(v20, v19, v18) = v21) | ~ (c_Polynomial_OpCons(v20, v17, v18) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v22] : (tc_Polynomial_Opoly(v20) = v22 & c_Groups_Ozero__class_Ozero(v22) = v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Opoly(v19, v18) = v20) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Oidom(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v24 & c_Groups_Oone__class_Oone(v19) = v25 & c_Polynomial_OpCons(v19, v25, v26) = v27 & c_Polynomial_OpCons(v19, v24, v27) = v28 & tc_Polynomial_Opoly(v19) = v23 & c_Groups_Ozero__class_Ozero(v23) = v26 & c_Groups_Ozero__class_Ozero(v19) = v22 & ( ~ (v22 = v21) | c_Rings_Odvd__class_Odvd(v23, v28, v18)) & (v22 = v21 | ~ c_Rings_Odvd__class_Odvd(v23, v28, v18)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Opoly(v19, v18) = v20) | ~ (hAPP(v20, v17) = v21) | ~ class_Rings_Oidom(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Oorder(v19, v17, v18) = v25 & tc_Polynomial_Opoly(v19) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & c_Groups_Ozero__class_Ozero(v19) = v22 & ( ~ (v25 = v0) | ~ (v22 = v21) | v24 = v18) & (v22 = v21 | (v25 = v0 & ~ (v24 = v18))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v1, v19) = v20) | ? [v22] : ? [v23] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v23) = v21 & hAPP(v22, v17) = v23 & hAPP(v1, v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v17) = v20) | ~ (c_Polynomial_Omonom(v19, v18, v20) = v21) | ~ class_Groups_Ozero(v19) | ? [v22] : ? [v23] : (c_Polynomial_Omonom(v19, v18, v17) = v23 & c_Polynomial_OpCons(v19, v22, v23) = v21 & c_Groups_Ozero__class_Ozero(v19) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v17) = v20) | ~ (hAPP(v19, v20) = v21) | ~ (hAPP(v1, v18) = v19) | ? [v22] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v22) = v21 & hAPP(v19, v17) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_HOL_Oequal__class_Oequal(v18) = v19) | ~ (hAPP(v20, v17) = v21) | ~ (hAPP(v19, v17) = v20) | ~ class_HOL_Oequal(v18) | hBOOL(v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_OpCons(v18, v17, v20) = v21) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Groups_Ozero(v18) | c_Polynomial_Omonom(v18, v17, v0) = v21) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | ~ hBOOL(v20) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | ? [v22] : ? [v23] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | ~ hBOOL(v20) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v17) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v23) & ~ hBOOL(v26)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | ~ hBOOL(v20) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v23) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v23, v10) & ~ hBOOL(v26)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v21) | ~ hBOOL(v20) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v17) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v23) & ~ hBOOL(v26)) | (v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v23) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v23, v10) & ~ hBOOL(v26)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v1, v17) = v21) | ~ hBOOL(v20) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = v18 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v24, v23) = v18 & hAPP(v21, v22) = v24 & hAPP(v19, v23) = v26 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v17) & ~ hBOOL(v26)) | (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v22 & hAPP(v19, v22) = v23 & hBOOL(v23)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Opoly__gcd(v20, v19, v18) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : (tc_Polynomial_Opoly(v20) = v22 & ( ~ c_Rings_Odvd__class_Odvd(v22, v17, v21) | (c_Rings_Odvd__class_Odvd(v22, v17, v19) & c_Rings_Odvd__class_Odvd(v22, v17, v18))) & ( ~ c_Rings_Odvd__class_Odvd(v22, v17, v19) | ~ c_Rings_Odvd__class_Odvd(v22, v17, v18) | c_Rings_Odvd__class_Odvd(v22, v17, v21)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Opoly__gcd(v20, v19, v18) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : (tc_Polynomial_Opoly(v20) = v22 & ( ~ c_Rings_Odvd__class_Odvd(v22, v17, v19) | ~ c_Rings_Odvd__class_Odvd(v22, v17, v18) | c_Rings_Odvd__class_Odvd(v22, v17, v21)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ (hAPP(v20, v18) = v21) | ~ class_Rings_Osemiring__0(v19) | ~ class_Rings_Odvd(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Ozero__class_Ozero(v19) = v22 & ( ! [v29] : ! [v30] : ! [v31] : ( ~ (hAPP(v21, v29) = v30) | ~ (hAPP(v17, v30) = v31) | ~ hBOOL(v31)) | (c_Groups_Oplus__class_Oplus(v19, v26, v22) = v27 & hAPP(v17, v26) = v28 & c_Rings_Odvd__class_Odvd(v19, v18, v27) & hBOOL(v28))) & ((hAPP(v21, v23) = v24 & hAPP(v17, v24) = v25 & hBOOL(v25)) | ( ! [v29] : ! [v30] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v29, v22) = v30) | ~ c_Rings_Odvd__class_Odvd(v19, v18, v30) | ? [v31] : (hAPP(v17, v29) = v31 & ~ hBOOL(v31))) & ! [v29] : ! [v30] : ( ~ (hAPP(v17, v29) = v30) | ~ hBOOL(v30) | ? [v31] : (c_Groups_Oplus__class_Oplus(v19, v29, v22) = v31 & ~ c_Rings_Odvd__class_Odvd(v19, v18, v31))))))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Osmult(v20, v19, v18) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : ? [v23] : ? [v24] : (tc_Polynomial_Opoly(v20) = v22 & c_Groups_Ozero__class_Ozero(v22) = v24 & c_Groups_Ozero__class_Ozero(v20) = v23 & ( ~ c_Rings_Odvd__class_Odvd(v22, v21, v17) | (( ~ (v23 = v19) | v24 = v17) & (v23 = v19 | c_Rings_Odvd__class_Odvd(v22, v18, v17)))) & (c_Rings_Odvd__class_Odvd(v22, v21, v17) | (v23 = v19 & ~ (v24 = v17)) | ( ~ (v23 = v19) & ~ c_Rings_Odvd__class_Odvd(v22, v18, v17))))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Osmult(v20, v19, v18) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : ? [v23] : (tc_Polynomial_Opoly(v20) = v23 & c_Groups_Ozero__class_Ozero(v20) = v22 & (v22 = v19 | (( ~ c_Rings_Odvd__class_Odvd(v23, v17, v21) | c_Rings_Odvd__class_Odvd(v23, v17, v18)) & ( ~ c_Rings_Odvd__class_Odvd(v23, v17, v18) | c_Rings_Odvd__class_Odvd(v23, v17, v21)))))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Osmult(v20, v19, v18) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : ? [v23] : (tc_Polynomial_Opoly(v20) = v22 & c_Groups_Ozero__class_Ozero(v20) = v23 & (v23 = v19 | ~ c_Rings_Odvd__class_Odvd(v22, v17, v21) | c_Rings_Odvd__class_Odvd(v22, v17, v18)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Osmult(v20, v19, v18) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v22] : (tc_Polynomial_Opoly(v20) = v22 & ( ~ c_Rings_Odvd__class_Odvd(v22, v21, v17) | c_Rings_Odvd__class_Odvd(v22, v18, v17)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Osmult(v20, v18, v19) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : ? [v23] : (tc_Polynomial_Opoly(v20) = v22 & c_Groups_Ozero__class_Ozero(v20) = v23 & (v23 = v18 | ~ c_Rings_Odvd__class_Odvd(v22, v19, v17) | c_Rings_Odvd__class_Odvd(v22, v21, v17)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Osmult(v20, v18, v19) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v22] : (tc_Polynomial_Opoly(v20) = v22 & ( ~ c_Rings_Odvd__class_Odvd(v22, v17, v19) | c_Rings_Odvd__class_Odvd(v22, v17, v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Divides_Odiv__class_Omod(v18, v19, v17) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Divides_Osemiring__div(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Rings_Odivision__ring__inverse__zero(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Polynomial_Opoly__gcd(v17, v19, v19) = v20) | ~ (tc_Polynomial_Opoly(v17) = v18) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Fields_Ofield(v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v18, v19) = v20) | ~ (tc_Polynomial_Opoly(v17) = v18) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Oab__group__add(v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Lattices_Oboolean__algebra(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Ogroup__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Polynomial_Ocoeff(v18, v17) = v20) | ~ (c_Polynomial_Ocoeff(v18, v17) = v19) | ~ class_Groups_Ozero(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Polynomial_Opoly(v18, v17) = v20) | ~ (c_Polynomial_Opoly(v18, v17) = v19) | ~ class_Int_Oring__char__0(v18) | ~ class_Rings_Oidom(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v19 | ~ (hAPP(v2, v18) = v19) | ~ (hAPP(v2, v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v19) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v19) = v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v17) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ class_Groups_Ogroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Ominus__class_Ominus(v18, v17, v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Ogroup__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Divides_Odiv__class_Omod(v18, v17, v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Divides_Osemiring__div(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Rings_Oinverse__class_Oinverse(v18, v19) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Rings_Odivision__ring(v18) | c_Groups_Ozero__class_Ozero(v18) = v17) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Rings_Oinverse__class_Oinverse(v18, v19) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Rings_Odivision__ring__inverse__zero(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v18) | ~ class_Groups_Ogroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v18, v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Lattices_Oboolean__algebra(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v18, v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Ogroup__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Oone__class_Oone(v18) = v19) | ~ (c_Polynomial_Osmult(v18, v19, v17) = v20) | ~ class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Polynomial_OAbs__poly(v18, v19) = v20) | ~ (c_Polynomial_Ocoeff(v18, v17) = v19) | ~ class_Groups_Ozero(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Oplus__class_Oplus(v18, v19, v17) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Oplus__class_Oplus(v18, v19, v17) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Omonoid__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Oplus__class_Oplus(v18, v19, v17) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Ocomm__monoid__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Oplus__class_Oplus(v18, v17, v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Oplus__class_Oplus(v18, v17, v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Omonoid__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (c_Groups_Oplus__class_Oplus(v18, v17, v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Ocomm__monoid__add(v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v10 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v17) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | ? [v21] : ( ~ (v21 = v10) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v10 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v19) | ? [v21] : ( ~ (v21 = v10) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v0 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Nat_OSuc(v18) = v19) | ? [v21] : ? [v22] : ( ~ (v22 = v17) & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v21 & c_Nat_OSuc(v21) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v0 | ~ (c_Groups_Oone__class_Oone(v18) = v19) | ~ (c_Polynomial_Odegree(v17, v19) = v20) | ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v0 | ~ (c_Polynomial_Odegree(v17, v19) = v20) | ~ (tc_Polynomial_Opoly(v17) = v18) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Ozero(v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = v17 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v19) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_SMT_Oz3mod(v20, v19) = v18) | ~ (c_SMT_Oz3mod(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v18) | ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v20) | ~ class_Rings_Odivision__ring(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & (v21 = v18 | v21 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Rings_Oinverse__class_Oinverse(v19, v18) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v19, v17) = v20) | ~ class_Rings_Odivision__ring__inverse__zero(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (tc_fun(v20, v19) = v18) | ~ (tc_fun(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v18) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ class_Lattices_Oboolean__algebra(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ class_Groups_Ogroup__add(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Nat_Osize__class_Osize(v20, v19) = v18) | ~ (c_Nat_Osize__class_Osize(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Polynomial_Odegree(v20, v19) = v18) | ~ (c_Polynomial_Odegree(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Polynomial_OAbs__poly(v20, v19) = v18) | ~ (c_Polynomial_OAbs__poly(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Polynomial_Ocoeff(v20, v19) = v18) | ~ (c_Polynomial_Ocoeff(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ (c_Polynomial_Ocoeff(v19, v17) = v20) | ~ class_Groups_Ozero(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Polynomial_Opoly(v20, v19) = v18) | ~ (c_Polynomial_Opoly(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (c_Polynomial_Opoly(v19, v18) = v20) | ~ (c_Polynomial_Opoly(v19, v17) = v20) | ~ class_Int_Oring__char__0(v19) | ~ class_Rings_Oidom(v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (hAPP(v20, v19) = v18) | ~ (hAPP(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (hAPP(v19, v17) = v20) | ~ (hAPP(c_fequal, v18) = v19) | ~ hBOOL(v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v3 | ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v1, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v3 | ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v0 | ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v6, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__ab__group__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless(v19, v20, v21) | c_Orderings_Oord__class_Oless(v19, v18, v17)) & ( ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | c_Orderings_Oord__class_Oless(v19, v20, v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__ab__group__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v20, v21) | c_Orderings_Oord__class_Oless__eq(v19, v18, v17)) & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless__eq(v19, v20, v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ class_Groups_Ogroup__add(v19) | ? [v21] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21 & c_Groups_Oplus__class_Oplus(v19, v18, v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ class_Groups_Ogroup__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ (v21 = v20) | v18 = v17) & ( ~ (v18 = v17) | v21 = v20))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ class_Groups_Oab__group__add(v19) | ? [v21] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21 & c_Groups_Oplus__class_Oplus(v19, v18, v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ class_Groups_Oab__group__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ (v21 = v20) | v18 = v17) & ( ~ (v18 = v17) | v21 = v20))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v20) | ~ class_Rings_Ocomm__ring__1(v19) | ? [v21] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21 & c_Groups_Oplus__class_Oplus(v19, v18, v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v19, v17, v18) = v20) | ~ class_Groups_Oab__group__add(v19) | ? [v21] : (c_Groups_Ominus__class_Ominus(v19, v18, v17) = v21 & c_Groups_Ouminus__class_Ouminus(v19, v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(v18, v19, v17) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Ogroup__add(v18) | c_Groups_Ouminus__class_Ouminus(v18, v17) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v18) = v20) | ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | ? [v21] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v21 & c_Nat_OSuc(v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v18) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v18) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v19) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v17) = v20) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v19) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v18) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v18) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(v19, v18, v17) = v20) | ~ class_Divides_Osemiring__div(v19) | c_Divides_Odiv__class_Omod(v19, v20, v17) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(v19, v18, v17) = v20) | ~ class_Divides_Osemiring__div(v19) | ? [v21] : (c_Divides_Odiv__class_Omod(v19, v21, v17) = v20 & c_Groups_Oplus__class_Oplus(v19, v18, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(v19, v17, v18) = v20) | ~ class_Divides_Osemiring__div(v19) | ~ c_Rings_Odvd__class_Odvd(v19, v18, v17) | c_Groups_Ozero__class_Ozero(v19) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(v19, v17, v18) = v20) | ~ class_Divides_Osemiring__div(v19) | ? [v21] : (c_Divides_Odiv__class_Omod(v19, v21, v18) = v20 & c_Groups_Oplus__class_Oplus(v19, v18, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(v19, v17, v18) = v20) | ~ class_Divides_Osemiring__div(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ (v21 = v20) | c_Rings_Odvd__class_Odvd(v19, v18, v17)) & (v21 = v20 | ~ c_Rings_Odvd__class_Odvd(v19, v18, v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(v18, v17, v19) = v20) | ~ (c_Groups_Oone__class_Oone(v18) = v19) | ~ class_Divides_Osemiring__div(v18) | c_Groups_Ozero__class_Ozero(v18) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v17) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v22, v17) = v20 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v21 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v21) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v17) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v21) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v19) | ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v17) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v22) = v20 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v17) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v17) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | c_SMT_Oz3mod(v17, v18) = v20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Nat_OSuc(v18) = v19) | ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v22, v17) = v20 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v21 & c_Nat_OSuc(v21) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Nat_OSuc(v18) = v19) | ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v21 & c_Nat_OSuc(v21) = v22 & (v22 = v20 | v22 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Power_Opower_Opower(v17, v18, v19) = v20) | ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ (c_Groups_Otimes__class_Otimes(v17) = v19) | ~ class_Power_Opower(v17) | c_Power_Opower__class_Opower(v17) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Power_Opower__class_Opower(v18) = v19) | ~ (hAPP(v19, v17) = v20) | ~ class_Power_Opower(v18) | ? [v21] : (c_Groups_Oone__class_Oone(v18) = v21 & hAPP(v20, v0) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Power_Opower__class_Opower(v18) = v19) | ~ (hAPP(v19, v17) = v20) | ~ class_Groups_Omonoid__mult(v18) | hAPP(v20, v3) = v17) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Power_Opower__class_Opower(v18) = v19) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Ocomm__semiring__1(v18) | hAPP(v20, v3) = v17) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Power_Opower__class_Opower(v18) = v19) | ~ (hAPP(v19, v17) = v20) | ~ class_Rings_Ocomm__semiring__1(v18) | ? [v21] : (c_Groups_Oone__class_Oone(v18) = v21 & hAPP(v20, v0) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Rings_Odivision__ring(v18) | ? [v21] : ? [v22] : ? [v23] : (c_Rings_Oinverse__class_Oinverse(v18, v17) = v22 & c_Groups_Ouminus__class_Ouminus(v18, v22) = v23 & c_Groups_Ozero__class_Ozero(v18) = v21 & (v23 = v20 | v21 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v19) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Rings_Odivision__ring__inverse__zero(v18) | ? [v21] : (c_Rings_Oinverse__class_Oinverse(v18, v17) = v21 & c_Groups_Ouminus__class_Ouminus(v18, v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ (c_Groups_Ouminus__class_Ouminus(v18, v19) = v20) | ~ class_Rings_Odivision__ring(v18) | ? [v21] : ? [v22] : ? [v23] : (c_Rings_Oinverse__class_Oinverse(v18, v22) = v23 & c_Groups_Ouminus__class_Ouminus(v18, v17) = v22 & c_Groups_Ozero__class_Ozero(v18) = v21 & (v23 = v20 | v21 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ (c_Groups_Ouminus__class_Ouminus(v18, v19) = v20) | ~ class_Rings_Odivision__ring__inverse__zero(v18) | ? [v21] : (c_Rings_Oinverse__class_Oinverse(v18, v21) = v20 & c_Groups_Ouminus__class_Ouminus(v18, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v18, v17) = v20) | ~ class_Fields_Ofield(v19) | c_Polynomial_Opoly__gcd(v19, v17, v18) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v18, v17) = v20) | ~ class_Fields_Ofield(v19) | ? [v21] : ? [v22] : (c_Polynomial_Opoly__gcd(v19, v22, v17) = v20 & c_Groups_Ouminus__class_Ouminus(v21, v18) = v22 & tc_Polynomial_Opoly(v19) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v18, v17) = v20) | ~ class_Fields_Ofield(v19) | ? [v21] : ? [v22] : (c_Polynomial_Opoly__gcd(v19, v18, v22) = v20 & c_Groups_Ouminus__class_Ouminus(v21, v17) = v22 & tc_Polynomial_Opoly(v19) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v18, v17) = v20) | ~ class_Fields_Ofield(v19) | ? [v21] : ? [v22] : (tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & ( ~ (v22 = v20) | (v20 = v17 & v18 = v17)) & ( ~ (v22 = v17) | ~ (v18 = v17) | v20 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v18, v17) = v20) | ~ class_Fields_Ofield(v19) | ? [v21] : (tc_Polynomial_Opoly(v19) = v21 & c_Rings_Odvd__class_Odvd(v21, v20, v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v18, v17) = v20) | ~ class_Fields_Ofield(v19) | ? [v21] : (tc_Polynomial_Opoly(v19) = v21 & c_Rings_Odvd__class_Odvd(v21, v20, v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v17, v18) = v20) | ~ class_Fields_Ofield(v19) | c_Polynomial_Opoly__gcd(v19, v18, v17) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v17, v18) = v20) | ~ class_Fields_Ofield(v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Divides_Odiv__class_Omod(v21, v17, v18) = v28 & c_Rings_Oinverse__class_Oinverse(v19, v25) = v26 & c_Polynomial_Opoly__gcd(v19, v18, v28) = v29 & c_Polynomial_Odegree(v19, v17) = v24 & c_Polynomial_Ocoeff(v19, v17) = v23 & c_Polynomial_Osmult(v19, v26, v17) = v27 & tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & hAPP(v23, v24) = v25 & ( ~ (v22 = v18) | v27 = v20) & (v29 = v20 | v22 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Opoly__gcd(v19, v17, v18) = v20) | ~ class_Fields_Ofield(v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(v21, v17, v18) = v23 & c_Polynomial_Opoly__gcd(v19, v18, v23) = v24 & tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & (v24 = v20 | v22 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ c_Rings_Odvd__class_Odvd(v19, v20, v17) | ~ class_Rings_Ocomm__ring__1(v19) | c_Rings_Odvd__class_Odvd(v19, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v18) = v20) | ~ c_Rings_Odvd__class_Odvd(v19, v18, v17) | ~ class_Rings_Ocomm__ring__1(v19) | c_Rings_Odvd__class_Odvd(v19, v20, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ (tc_Polynomial_Opoly(v18) = v19) | ~ class_Rings_Olinordered__idom(v18) | c_Groups_Ozero__class_Ozero(v19) = v17 | c_Polynomial_Opos__poly(v18, v20) | c_Polynomial_Opos__poly(v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ c_Rings_Odvd__class_Odvd(v19, v18, v20) | ~ class_Rings_Ocomm__ring__1(v19) | c_Rings_Odvd__class_Odvd(v19, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(v19, v17) = v20) | ~ c_Rings_Odvd__class_Odvd(v19, v18, v17) | ~ class_Rings_Ocomm__ring__1(v19) | c_Rings_Odvd__class_Odvd(v19, v18, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ (c_Groups_Oplus__class_Oplus(v18, v19, v17) = v20) | ~ class_Groups_Ogroup__add(v18) | c_Groups_Ozero__class_Ozero(v18) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ (c_Groups_Oplus__class_Oplus(v18, v19, v17) = v20) | ~ class_Groups_Oab__group__add(v18) | c_Groups_Ozero__class_Ozero(v18) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ (c_Groups_Oplus__class_Oplus(v18, v17, v19) = v20) | ~ class_Groups_Ogroup__add(v18) | c_Groups_Ozero__class_Ozero(v18) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oone__class_Oone(v18) = v19) | ~ (c_Groups_Oplus__class_Oplus(v18, v17, v19) = v20) | ~ class_Rings_Olinordered__semidom(v18) | c_Orderings_Oord__class_Oless(v18, v17, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Odegree(v19, v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v20) | ~ class_Groups_Ozero(v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ( ~ (v24 = v22) & c_Polynomial_Ocoeff(v19, v17) = v21 & c_Groups_Ozero__class_Ozero(v19) = v22 & hAPP(v21, v23) = v24 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v23))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Nat_Onat_Onat__case(v19, v18, v17) = v20) | hAPP(v20, v0) = v18) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless(v19, v21, v18) | ~ c_Orderings_Oord__class_Oless(v19, v21, v17) | c_Orderings_Oord__class_Oless(v19, v21, v20)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless(v19, v21, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v21, v17) | c_Orderings_Oord__class_Oless(v19, v21, v20)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless(v19, v21, v17) | ~ c_Orderings_Oord__class_Oless__eq(v19, v21, v18) | c_Orderings_Oord__class_Oless(v19, v21, v20)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless(v19, v18, v21) | ~ c_Orderings_Oord__class_Oless(v19, v17, v21) | c_Orderings_Oord__class_Oless(v19, v20, v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless(v19, v18, v21) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v21) | c_Orderings_Oord__class_Oless(v19, v20, v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless(v19, v17, v21) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v21) | c_Orderings_Oord__class_Oless(v19, v20, v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v21, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v21, v17) | c_Orderings_Oord__class_Oless__eq(v19, v21, v20)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v21, v18) | ~ c_Orderings_Oord__class_Oless__eq(v19, v21, v17) | (( ~ (v21 = v20) | (v20 = v17 & v18 = v17)) & ( ~ (v21 = v17) | ~ (v18 = v17) | v20 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Oordered__comm__monoid__add(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v21) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v21) | c_Orderings_Oord__class_Oless__eq(v19, v20, v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Ogroup__add(v19) | ? [v21] : ? [v22] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v22 & c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ (v22 = v17) | v21 = v20) & ( ~ (v21 = v20) | v22 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Ogroup__add(v19) | ? [v21] : ? [v22] : (c_Groups_Ouminus__class_Ouminus(v19, v18) = v22 & c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ (v21 = v20) | v22 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Ogroup__add(v19) | ? [v21] : ? [v22] : (c_Groups_Ouminus__class_Ouminus(v19, v17) = v21 & c_Groups_Ozero__class_Ozero(v19) = v22 & ( ~ (v22 = v20) | v21 = v18) & ( ~ (v21 = v18) | v22 = v20))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Groups_Ogroup__add(v19) | ? [v21] : (c_Groups_Ominus__class_Ominus(v19, v18, v21) = v20 & c_Groups_Ouminus__class_Ouminus(v19, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | c_Groups_Oplus__class_Oplus(v19, v17, v18) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ( ~ (v21 = v17) | v20 = v18) & ( ~ (v20 = v18) | v21 = v17))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(v19, v17, v18) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | c_Groups_Oplus__class_Oplus(v19, v18, v17) = v20) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v18) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Nat_OSuc(v18) = v19) | ? [v21] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v21) = v20 & c_Nat_OSuc(v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v17) = v20) | ~ (c_Nat_OSuc(v18) = v19) | ? [v21] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v21 & c_Nat_OSuc(v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Nat_OSuc(v17) = v19) | ? [v21] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v17) = v20 & c_Nat_OSuc(v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v19) = v20) | ~ (c_Nat_OSuc(v17) = v19) | ? [v21] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v21 & c_Nat_OSuc(v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Oorder(v19, v17, v18) = v20) | ~ class_Rings_Oidom(v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Opoly(v19, v18) = v21 & tc_Polynomial_Opoly(v19) = v24 & c_Groups_Ozero__class_Ozero(v24) = v25 & c_Groups_Ozero__class_Ozero(v19) = v23 & hAPP(v21, v17) = v22 & ( ~ (v23 = v22) | ~ (v20 = v0) | v25 = v18) & (v23 = v22 | (v20 = v0 & ~ (v25 = v18))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Oorder(v19, v17, v18) = v20) | ~ class_Rings_Oidom(v19) | ? [v21] : ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v18) = v23 & tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & (v22 = v18 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Osmult(v19, v18, v17) = v20) | ~ class_Rings_Oidom(v19) | ? [v21] : ? [v22] : ? [v23] : (tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ (v22 = v20) | v23 = v18 | v20 = v17) & (v22 = v20 | ( ~ (v23 = v18) & ~ (v22 = v17))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Osmult(v18, v19, v17) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Rings_Ocomm__semiring__0(v18) | ? [v21] : (tc_Polynomial_Opoly(v18) = v21 & c_Groups_Ozero__class_Ozero(v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Osynthetic__div(v19, v18, v17) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | ? [v21] : ? [v22] : ? [v23] : (c_Polynomial_Odegree(v19, v18) = v23 & tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & ( ~ (v23 = v0) | v22 = v20) & ( ~ (v22 = v20) | v23 = v0))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v20) = v18) | ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ (c_Nat_OSuc(v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ (c_Nat_OSuc(v17) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ (c_Nat_OSuc(v17) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ (c_Nat_OSuc(v17) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Omonom(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19) | ? [v21] : ? [v22] : ? [v23] : (tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ (v23 = v18) | v22 = v20) & ( ~ (v22 = v20) | v23 = v18))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Omonom(v18, v19, v17) = v20) | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Groups_Ozero(v18) | ? [v21] : (tc_Polynomial_Opoly(v18) = v21 & c_Groups_Ozero__class_Ozero(v21) = v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_OpCons(v19, v18, v17) = v20) | ~ class_Rings_Olinordered__idom(v19) | ? [v21] : ? [v22] : ? [v23] : (tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ c_Polynomial_Opos__poly(v19, v20) | c_Polynomial_Opos__poly(v19, v17) | (v22 = v17 & c_Orderings_Oord__class_Oless(v19, v23, v18))) & (c_Polynomial_Opos__poly(v19, v20) | ( ~ c_Polynomial_Opos__poly(v19, v17) & ( ~ (v22 = v17) | ~ c_Orderings_Oord__class_Oless(v19, v23, v18)))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_OpCons(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19) | ? [v21] : ? [v22] : ? [v23] : (tc_Polynomial_Opoly(v19) = v21 & c_Groups_Ozero__class_Ozero(v21) = v22 & c_Groups_Ozero__class_Ozero(v19) = v23 & ( ~ (v23 = v18) | ~ (v22 = v17) | v20 = v17) & ( ~ (v22 = v20) | (v23 = v18 & v20 = v17)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_OpCons(v19, v18, v17) = v20) | ~ class_Groups_Ozero(v19) | ? [v21] : ? [v22] : (c_Polynomial_OAbs__poly(v19, v22) = v20 & c_Nat_Onat_Onat__case(v19, v18, v21) = v22 & c_Polynomial_Ocoeff(v19, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v8, v17) = v19) | ? [v21] : (hAPP(v21, v17) = v20 & hAPP(v8, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v1, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v1, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v18) = v20) | ~ (hAPP(v1, v17) = v19) | ? [v21] : (hAPP(v21, v17) = v20 & hAPP(v1, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v8, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v8, v18) = v19) | ? [v21] : ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v23 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v21 & hAPP(v22, v17) = v23 & hAPP(v8, v21) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v8, v18) = v19) | ? [v21] : (hAPP(v21, v18) = v20 & hAPP(v8, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v7, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v6, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v6, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v19, v17) = v20) | ~ (hAPP(v1, v18) = v19) | ? [v21] : (hAPP(v21, v18) = v20 & hAPP(v1, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v18, v19) = v20) | ~ (hAPP(v18, v17) = v19) | ~ (hAPP(v1, v17) = v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v18, v17) = v19) | ~ (hAPP(v8, v10) = v20) | hBOOL(v19) | ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v10) = v21 & hAPP(v18, v21) = v22 & ~ hBOOL(v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (hAPP(v2, v18) = v19) | ~ (hAPP(v2, v17) = v20) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | ~ c_Orderings_Oord__class_Oless(v20, v18, v17) | ~ class_Orderings_Opreorder(v20) | c_Orderings_Oord__class_Oless(v20, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | ~ c_Orderings_Oord__class_Oless(v20, v17, v19) | ~ class_Orderings_Oorder(v20) | c_Orderings_Oord__class_Oless(v20, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | ~ class_Orderings_Oorder(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v17, v19) | c_Orderings_Oord__class_Oless(v20, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(v20, v19, v18) | ~ class_Orderings_Opreorder(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | c_Orderings_Oord__class_Oless(v20, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(v20, v18, v17) | ~ class_Orderings_Opreorder(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless(v20, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(v20, v17, v19) | ~ class_Orderings_Oorder(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | c_Orderings_Oord__class_Oless(v20, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ c_Rings_Odvd__class_Odvd(v20, v19, v18) | ~ c_Rings_Odvd__class_Odvd(v20, v18, v17) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ class_Orderings_Oorder(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(v20, v17, v19) | c_Orderings_Oord__class_Oless__eq(v20, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ class_Orderings_Opreorder(v20) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(v20, v18, v17) | c_Orderings_Oord__class_Oless__eq(v20, v19, v17)) & ? [v17] : ? [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ class_Orderings_Oord(v20) | c_Orderings_Oord__class_Oless__eq(v21, v18, v17) | ? [v22] : ? [v23] : ? [v24] : (hAPP(v18, v22) = v23 & hAPP(v17, v22) = v24 & ~ c_Orderings_Oord__class_Oless__eq(v20, v23, v24))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Odegree(v19, v18) = v20) | ~ class_Groups_Ozero(v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v17) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ( ~ (v24 = v22) & c_Polynomial_Ocoeff(v19, v18) = v21 & c_Groups_Ozero__class_Ozero(v19) = v22 & hAPP(v21, v23) = v24 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v23))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v19) = v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ? [v21] : ( ~ (v21 = v17) & c_Nat_OSuc(v20) = v21)) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ class_Groups_Ozero(v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (c_Polynomial_Odegree(v19, v18) = v22 & c_Groups_Ozero__class_Ozero(v19) = v21 & (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v17) | ( ~ (v24 = v21) & hAPP(v20, v23) = v24 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v23))))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (c_Polynomial_Ocoeff(v19, v18) = v20) | ~ class_Groups_Ozero(v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (c_Polynomial_Odegree(v19, v18) = v21 & c_Groups_Ozero__class_Ozero(v19) = v22 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v21) | ( ~ (v24 = v22) & hAPP(v20, v23) = v24 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v23))))) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v10)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Rings_Oinverse__class_Oinverse(v17, v18) = v19) | ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ class_Rings_Odivision__ring(v17)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Rings_Oinverse__class_Oinverse(v17, v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Fields_Ofield__inverse__zero(v17)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Rings_Oinverse__class_Oinverse(v17, v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Rings_Odivision__ring__inverse__zero(v17)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Groups_Ouminus__class_Ouminus(v17, v18) = v19) | ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Groups_Ogroup__add(v17)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Nat_OSuc(v17) = v19) | ~ (c_Nat_OSuc(v17) = v18)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v17 | ~ (c_Nat_OSuc(v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v17 | ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ c_Rings_Odvd__class_Odvd(v18, v19, v17) | ~ class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v10 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) | ? [v20] : (hAPP(v8, v17) = v20 & ! [v21] : ~ (hAPP(v20, v21) = v18))) & ! [v17] : ! [v18] : ! [v19] : (v19 = v10 | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v18) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v3 | ~ (hAPP(v18, v0) = v19) | ~ (hAPP(v6, v17) = v18)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : (v19 = v0 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v19) | ? [v20] : (hAPP(v1, v17) = v20 & ! [v21] : ~ (hAPP(v20, v21) = v18))) & ! [v17] : ! [v18] : ! [v19] : (v19 = v0 | ~ (hAPP(v18, v0) = v19) | ~ (hAPP(v1, v17) = v18)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_HOL_Obool_Obool__size(v19) = v18) | ~ (c_HOL_Obool_Obool__size(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Power_Opower__class_Opower(v19) = v18) | ~ (c_Power_Opower__class_Opower(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Groups_Oone__class_Oone(v19) = v18) | ~ (c_Groups_Oone__class_Oone(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Nat_Onat_Onat__size(v19) = v18) | ~ (c_Nat_Onat_Onat__size(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Groups_Otimes__class_Otimes(v19) = v18) | ~ (c_Groups_Otimes__class_Otimes(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v11) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Nat_OSuc(v19) = v18) | ~ (c_Nat_OSuc(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Nat_OSuc(v18) = v19) | ~ (c_Nat_OSuc(v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Nat_OSuc(v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_HOL_Oequal__class_Oequal(v19) = v18) | ~ (c_HOL_Oequal__class_Oequal(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (tc_Polynomial_Opoly(v19) = v18) | ~ (tc_Polynomial_Opoly(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (c_Groups_Ozero__class_Ozero(v19) = v18) | ~ (c_Groups_Ozero__class_Ozero(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ class_Orderings_Oorder(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ class_Orderings_Oorder(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless(v19, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ class_Orderings_Oorder(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v18) | c_Orderings_Oord__class_Oless(v19, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ class_Orderings_Olinorder(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless(v19, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v11 | ~ (hAPP(v19, v17) = v11) | ~ (hAPP(v8, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v18)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v3 | v17 = v0 | ~ (hAPP(v19, v17) = v3) | ~ (hAPP(v6, v18) = v19)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v3 | ~ (hAPP(v19, v17) = v3) | ~ (hAPP(v1, v18) = v19)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v0 | v17 = v3 | ~ (hAPP(v19, v17) = v18) | ~ (hAPP(v1, v18) = v19)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v0 | v17 = v0 | ~ (hAPP(v19, v17) = v0) | ~ (hAPP(v1, v18) = v19)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v0 | ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v19) | ? [v20] : (c_Nat_OSuc(v20) = v18 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v17))) & ! [v17] : ! [v18] : ! [v19] : (v17 = v11 | ~ (hAPP(v19, v17) = v11) | ~ (hAPP(v8, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v18)) & ! [v17] : ! [v18] : ! [v19] : (v17 = v3 | ~ (hAPP(v19, v17) = v3) | ~ (hAPP(v1, v18) = v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ominus__class_Ominus(v18, v17, v17) = v19) | ~ class_Groups_Ogroup__add(v18) | c_Groups_Ozero__class_Ozero(v18) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v19) | ? [v20] : (c_Nat_OSuc(v18) = v20 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | ? [v20] : ? [v21] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v18) = v21 & c_Nat_OSuc(v19) = v21 & c_Nat_OSuc(v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_SMT_Oz3mod(v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v18) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_SMT_Oz3mod(v17, v18) = v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | ? [v20] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v20) = v19 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(v18, v17, v17) = v19) | ~ class_Divides_Osemiring__div(v18) | c_Groups_Ozero__class_Ozero(v18) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v18) | ? [v20] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v20 & (v20 = v19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v10)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) | ? [v20] : ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v21) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v20 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v10) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v10) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v10)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v18) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v18) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | c_SMT_Oz3mod(v17, v18) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ? [v20] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v20 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v19) | ? [v20] : ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v17) = v22 & c_Nat_OSuc(v19) = v20 & c_Nat_OSuc(v18) = v21 & ( ~ (v20 = v17) | v22 = v0))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v19) | ? [v20] : ? [v21] : ? [v22] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v17) = v22 & c_Nat_OSuc(v19) = v20 & c_Nat_OSuc(v18) = v21 & (v22 = v20 | v20 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | ? [v20] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v20 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v18) = v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Ofield__inverse__zero(v18) | ? [v20] : (c_Groups_Oone__class_Oone(v18) = v20 & ( ~ (v20 = v19) | v19 = v17) & ( ~ (v20 = v17) | v19 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field(v18) | ? [v20] : ? [v21] : (c_Groups_Oone__class_Oone(v18) = v21 & c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v17) | ~ c_Orderings_Oord__class_Oless(v18, v17, v21) | c_Orderings_Oord__class_Oless(v18, v21, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field(v18) | ? [v20] : ? [v21] : (c_Groups_Oone__class_Oone(v18) = v21 & c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v17) | ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v21) | c_Orderings_Oord__class_Oless__eq(v18, v21, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & (v20 = v17 | ~ c_Orderings_Oord__class_Oless(v18, v20, v19) | c_Orderings_Oord__class_Oless(v18, v20, v17)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & (v20 = v17 | ~ c_Orderings_Oord__class_Oless(v18, v19, v20) | c_Orderings_Oord__class_Oless(v18, v17, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v17) | c_Orderings_Oord__class_Oless(v18, v20, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v17, v20) | c_Orderings_Oord__class_Oless(v18, v19, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field__inverse__zero(v18) | ? [v20] : ? [v21] : (c_Groups_Oone__class_Oone(v18) = v20 & c_Groups_Ozero__class_Ozero(v18) = v21 & ( ~ c_Orderings_Oord__class_Oless(v18, v21, v17) | ~ c_Orderings_Oord__class_Oless(v18, v17, v20) | c_Orderings_Oord__class_Oless(v18, v20, v19)) & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v19) | (c_Orderings_Oord__class_Oless(v18, v21, v17) & c_Orderings_Oord__class_Oless(v18, v17, v20))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field__inverse__zero(v18) | ? [v20] : ? [v21] : (c_Groups_Oone__class_Oone(v18) = v20 & c_Groups_Ozero__class_Ozero(v18) = v21 & ( ~ c_Orderings_Oord__class_Oless(v18, v21, v17) | ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v20) | c_Orderings_Oord__class_Oless__eq(v18, v20, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v19) | (c_Orderings_Oord__class_Oless(v18, v21, v17) & c_Orderings_Oord__class_Oless__eq(v18, v17, v20))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field__inverse__zero(v18) | ? [v20] : ? [v21] : (c_Groups_Oone__class_Oone(v18) = v20 & c_Groups_Ozero__class_Ozero(v18) = v21 & ( ~ c_Orderings_Oord__class_Oless(v18, v19, v20) | c_Orderings_Oord__class_Oless(v18, v20, v17) | c_Orderings_Oord__class_Oless__eq(v18, v17, v21)) & (c_Orderings_Oord__class_Oless(v18, v19, v20) | ( ~ c_Orderings_Oord__class_Oless(v18, v20, v17) & ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v21))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field__inverse__zero(v18) | ? [v20] : ? [v21] : (c_Groups_Oone__class_Oone(v18) = v20 & c_Groups_Ozero__class_Ozero(v18) = v21 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v19, v20) | c_Orderings_Oord__class_Oless__eq(v18, v20, v17) | c_Orderings_Oord__class_Oless__eq(v18, v17, v21)) & (c_Orderings_Oord__class_Oless__eq(v18, v19, v20) | ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v17) & ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v21))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field__inverse__zero(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v19) | c_Orderings_Oord__class_Oless(v18, v20, v17)) & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v17) | c_Orderings_Oord__class_Oless(v18, v20, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field__inverse__zero(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v19, v20) | c_Orderings_Oord__class_Oless(v18, v17, v20)) & ( ~ c_Orderings_Oord__class_Oless(v18, v17, v20) | c_Orderings_Oord__class_Oless(v18, v19, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field__inverse__zero(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v19) | c_Orderings_Oord__class_Oless__eq(v18, v20, v17)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v17) | c_Orderings_Oord__class_Oless__eq(v18, v20, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Fields_Olinordered__field__inverse__zero(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v19, v20) | c_Orderings_Oord__class_Oless__eq(v18, v17, v20)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v20) | c_Orderings_Oord__class_Oless__eq(v18, v19, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Rings_Odivision__ring(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ (v20 = v19) | v19 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Rings_Oinverse__class_Oinverse(v18, v17) = v19) | ~ class_Rings_Odivision__ring__inverse__zero(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ (v20 = v19) | v19 = v17) & ( ~ (v20 = v17) | v19 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (tc_fun(v18, v17) = v19) | ~ class_Enum_Oenum(v18) | ~ class_Enum_Oenum(v17) | class_Enum_Oenum(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (tc_fun(v18, v17) = v19) | ~ class_Enum_Oenum(v18) | ~ class_HOL_Oequal(v17) | class_HOL_Oequal(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (tc_fun(v17, v18) = v19) | ~ class_Groups_Ouminus(v18) | class_Groups_Ouminus(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (tc_fun(v17, v18) = v19) | ~ class_Orderings_Oorder(v18) | class_Orderings_Oorder(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (tc_fun(v17, v18) = v19) | ~ class_Orderings_Oord(v18) | class_Orderings_Oord(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (tc_fun(v17, v18) = v19) | ~ class_Lattices_Oboolean__algebra(v18) | class_Lattices_Oboolean__algebra(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (tc_fun(v17, v18) = v19) | ~ class_Orderings_Opreorder(v18) | class_Orderings_Opreorder(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Rings_Olinordered__idom(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v17, v20) | c_Orderings_Oord__class_Oless(v18, v17, v19)) & ( ~ c_Orderings_Oord__class_Oless(v18, v17, v19) | c_Orderings_Oord__class_Oless(v18, v17, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Oordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v19) | c_Orderings_Oord__class_Oless(v18, v17, v20)) & ( ~ c_Orderings_Oord__class_Oless(v18, v17, v20) | c_Orderings_Oord__class_Oless(v18, v20, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Oordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v17) | c_Orderings_Oord__class_Oless(v18, v19, v20)) & ( ~ c_Orderings_Oord__class_Oless(v18, v19, v20) | c_Orderings_Oord__class_Oless(v18, v20, v17)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Oordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v19) | c_Orderings_Oord__class_Oless__eq(v18, v17, v20)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v20) | c_Orderings_Oord__class_Oless__eq(v18, v20, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Oordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v17) | c_Orderings_Oord__class_Oless__eq(v18, v19, v20)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v19, v20) | c_Orderings_Oord__class_Oless__eq(v18, v20, v17)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Ogroup__add(v18) | ? [v20] : (c_Groups_Ominus__class_Ominus(v18, v20, v17) = v19 & c_Groups_Ozero__class_Ozero(v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Ogroup__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ (v20 = v19) | v19 = v17) & ( ~ (v20 = v17) | v19 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Rings_Ocomm__ring__1(v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(v18, v21) = v22 & c_Groups_Oone__class_Oone(v18) = v21 & c_Groups_Otimes__class_Otimes(v18) = v20 & hAPP(v23, v17) = v19 & hAPP(v20, v22) = v23)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ (v20 = v17) | v19 = v17) & ( ~ (v19 = v17) | v20 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v17) | c_Orderings_Oord__class_Oless(v18, v19, v17)) & ( ~ c_Orderings_Oord__class_Oless(v18, v19, v17) | c_Orderings_Oord__class_Oless(v18, v20, v17)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v17) | c_Orderings_Oord__class_Oless__eq(v18, v19, v17)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v19, v17) | c_Orderings_Oord__class_Oless__eq(v18, v20, v17)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(v18, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v20) | c_Orderings_Oord__class_Oless__eq(v18, v17, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v19) | c_Orderings_Oord__class_Oless__eq(v18, v17, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v17) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v19) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v19) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v19) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ (c_Groups_Oplus__class_Oplus(v17, v18, v18) = v19) | ~ class_Rings_Olinordered__semidom(v17) | ? [v20] : (c_Groups_Ozero__class_Ozero(v17) = v20 & c_Orderings_Oord__class_Oless(v17, v20, v19))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Polynomial_Odegree(v18, v17) = v19) | ~ class_Groups_Oab__group__add(v18) | ? [v20] : ? [v21] : (c_Groups_Ouminus__class_Ouminus(v20, v17) = v21 & c_Polynomial_Odegree(v18, v21) = v19 & tc_Polynomial_Opoly(v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(v18, v17, v17) = v19) | ~ class_Rings_Olinordered__idom(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v19, v20) | c_Orderings_Oord__class_Oless(v18, v17, v20)) & ( ~ c_Orderings_Oord__class_Oless(v18, v17, v20) | c_Orderings_Oord__class_Oless(v18, v19, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(v18, v17, v17) = v19) | ~ class_Rings_Ocomm__semiring__1(v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (c_Groups_Oone__class_Oone(v18) = v21 & c_Groups_Otimes__class_Otimes(v18) = v20 & c_Groups_Oplus__class_Oplus(v18, v21, v21) = v22 & hAPP(v23, v17) = v19 & hAPP(v20, v22) = v23)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(v18, v17, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ (v20 = v19) | v19 = v17) & ( ~ (v20 = v17) | v19 = v17))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(v18, v17, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v19) | c_Orderings_Oord__class_Oless(v18, v20, v17)) & ( ~ c_Orderings_Oord__class_Oless(v18, v20, v17) | c_Orderings_Oord__class_Oless(v18, v20, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(v18, v17, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless(v18, v19, v20) | c_Orderings_Oord__class_Oless(v18, v17, v20)) & ( ~ c_Orderings_Oord__class_Oless(v18, v17, v20) | c_Orderings_Oord__class_Oless(v18, v19, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(v18, v17, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v19) | c_Orderings_Oord__class_Oless__eq(v18, v20, v17)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v20, v17) | c_Orderings_Oord__class_Oless__eq(v18, v20, v19)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(v18, v17, v17) = v19) | ~ class_Groups_Olinordered__ab__group__add(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v18) = v20 & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v19, v20) | c_Orderings_Oord__class_Oless__eq(v18, v17, v20)) & ( ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v20) | c_Orderings_Oord__class_Oless__eq(v18, v19, v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v19) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v11, v17) = v18) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v10) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v19) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v11, v17) = v18) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v10) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v10)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v10) | c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v19) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v18) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v19) | ? [v20] : ? [v21] : ? [v22] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v20 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v21 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v22 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v22) = v20)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v11) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v11) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v18) = v19) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v11) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v11) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v11) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v19) = v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | ? [v20] : ? [v21] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v17) = v21 & c_Nat_OSuc(v19) = v21 & c_Nat_OSuc(v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | ? [v20] : ? [v21] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v20) = v21 & c_Nat_OSuc(v19) = v21 & c_Nat_OSuc(v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) | ? [v20] : (c_Nat_OSuc(v19) = v20 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v19) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v19) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v18) = v19) | ? [v20] : (c_Nat_OSuc(v19) = v20 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Polynomial_Opoly(v18, v17) = v19) | ~ class_Int_Oring__char__0(v18) | ~ class_Rings_Oidom(v18) | ? [v20] : ? [v21] : ? [v22] : (c_Polynomial_Opoly(v18, v21) = v22 & tc_Polynomial_Opoly(v18) = v20 & c_Groups_Ozero__class_Ozero(v20) = v21 & ( ~ (v22 = v19) | v21 = v17) & ( ~ (v21 = v17) | v22 = v19))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v18) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v17) = v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (c_Polynomial_Omonom(v18, v17, v0) = v19) | ~ class_Groups_Ozero(v18) | ? [v20] : ? [v21] : (c_Polynomial_OpCons(v18, v17, v21) = v19 & tc_Polynomial_Opoly(v18) = v20 & c_Groups_Ozero__class_Ozero(v20) = v21)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (hAPP(v18, v17) = v19) | ~ (hAPP(v1, v17) = v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (hAPP(v18, v17) = v19) | ~ (hAPP(c_fequal, v17) = v18) | hBOOL(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (hAPP(v18, v17) = v19) | ~ hBOOL(v19) | ? [v20] : ? [v21] : ? [v22] : ((c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v3) = v21 & hAPP(v18, v21) = v22 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v17) & hBOOL(v22) & ! [v23] : ! [v24] : ( ~ (hAPP(v18, v23) = v24) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v20) | ~ hBOOL(v24))) | (hAPP(v18, v0) = v20 & hBOOL(v20)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (hAPP(v18, v17) = v19) | ~ hBOOL(v19) | ? [v20] : ? [v21] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v0) = v20 & hAPP(v18, v20) = v21 & hBOOL(v21))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (hAPP(v18, v17) = v19) | hBOOL(v19) | ? [v20] : ? [v21] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v0) = v20 & hAPP(v18, v20) = v21 & ~ hBOOL(v21))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (hAPP(v18, v3) = v19) | ~ (hAPP(v1, v17) = v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (hAPP(v18, v0) = v19) | ~ (hAPP(v6, v17) = v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | ~ c_Orderings_Oord__class_Oless(v19, v17, v18) | ~ class_Orderings_Oorder(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | ~ c_Orderings_Oord__class_Oless(v19, v17, v18) | ~ class_Orderings_Olinorder(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | ~ c_Orderings_Oord__class_Oless(v19, v17, v18) | ~ class_Orderings_Opreorder(v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | ~ class_Orderings_Oorder(v19) | c_Orderings_Oord__class_Oless__eq(v19, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | ~ class_Orderings_Olinorder(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | ~ class_Orderings_Opreorder(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless(v19, v18, v17) | ~ class_Orderings_Opreorder(v19) | c_Orderings_Oord__class_Oless__eq(v19, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless(v19, v17, v18) | ~ class_Orderings_Olinorder(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v19)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ class_Orderings_Opreorder(v19) | ~ c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless(v19, v18, v17) | c_Orderings_Oord__class_Oless__eq(v19, v17, v18)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17)) & ? [v17] : ? [v18] : ? [v19] : ! [v20] : ! [v21] : ( ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v21) = v22 & ( ~ (v22 = v18) | ~ (v19 = v17) | c_Polynomial_Opdivmod__rel(v20, v17, v18, v18, v17)) & ( ~ c_Polynomial_Opdivmod__rel(v20, v19, v22, v18, v17) | (v22 = v18 & v19 = v17)))) & ? [v17] : ? [v18] : ? [v19] : ! [v20] : ! [v21] : ( ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v21) = v22 & ( ~ (v22 = v17) | ~ (v18 = v17) | c_Polynomial_Opdivmod__rel(v20, v17, v19, v17, v17)) & ( ~ c_Polynomial_Opdivmod__rel(v20, v22, v19, v18, v17) | (v22 = v17 & v18 = v17)))) & ? [v17] : ? [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ class_Fields_Olinordered__field__inverse__zero(v19) | c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Groups_Otimes__class_Otimes(v19) = v22 & c_Groups_Ozero__class_Ozero(v19) = v21 & hAPP(v24, v18) = v25 & hAPP(v22, v23) = v24 & c_Orderings_Oord__class_Oless(v19, v23, v20) & c_Orderings_Oord__class_Oless(v19, v21, v23) & ~ c_Orderings_Oord__class_Oless__eq(v19, v25, v17))) & ? [v17] : ? [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Otimes__class_Otimes(v19) = v20) | ~ class_Fields_Olinordered__field__inverse__zero(v19) | c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Groups_Oone__class_Oone(v19) = v22 & c_Groups_Ozero__class_Ozero(v19) = v21 & hAPP(v24, v18) = v25 & hAPP(v20, v23) = v24 & c_Orderings_Oord__class_Oless(v19, v23, v22) & c_Orderings_Oord__class_Oless(v19, v21, v23) & ~ c_Orderings_Oord__class_Oless__eq(v19, v25, v17))) & ? [v17] : ? [v18] : ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Fields_Olinordered__field__inverse__zero(v19) | c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Groups_Oone__class_Oone(v19) = v21 & c_Groups_Otimes__class_Otimes(v19) = v22 & hAPP(v24, v18) = v25 & hAPP(v22, v23) = v24 & c_Orderings_Oord__class_Oless(v19, v23, v21) & c_Orderings_Oord__class_Oless(v19, v20, v23) & ~ c_Orderings_Oord__class_Oless__eq(v19, v25, v17))) & ? [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Oone__class_Oone(v18) = v19) | ~ class_Rings_Ocomm__semiring__1(v18) | c_Rings_Odvd__class_Odvd(v18, v19, v17)) & ? [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v18) = v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v19)) & ? [v17] : ! [v18] : ! [v19] : ( ~ (c_Nat_OSuc(v18) = v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v18)) & ? [v17] : ! [v18] : ! [v19] : ( ~ (tc_Polynomial_Opoly(v18) = v19) | ~ class_Fields_Ofield(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v19) = v20 & c_Polynomial_Opdivmod__rel(v18, v20, v17, v20, v20))) & ? [v17] : ! [v18] : ! [v19] : ( ~ (tc_Polynomial_Opoly(v18) = v19) | ~ class_Fields_Ofield(v18) | ? [v20] : (c_Groups_Ozero__class_Ozero(v19) = v20 & c_Polynomial_Opdivmod__rel(v18, v17, v20, v20, v17))) & ? [v17] : ! [v18] : ! [v19] : ( ~ (c_Groups_Ozero__class_Ozero(v18) = v19) | ~ class_Rings_Ocomm__semiring__1(v18) | c_Rings_Odvd__class_Odvd(v18, v17, v19)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v0) | ? [v19] : ( ~ (v19 = v0) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v19)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v18) = v0) | ? [v19] : ( ~ (v19 = v0) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v19)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v0) = v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (c_Nat_Osize__class_Osize(tc_Nat_Onat, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v10) = v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v0) = v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (hAPP(v12, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (hAPP(v4, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v17, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17)) & ! [v17] : ! [v18] : (v18 = v17 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v17, v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : (v18 = v17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : (v18 = v17 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : (v18 = v10 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v17, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v10 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v10, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v3 | v18 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v3)) & ! [v17] : ! [v18] : (v18 = v3 | v17 = v3 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v3)) & ! [v17] : ! [v18] : (v18 = v3 | ~ (hAPP(v9, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v0 | v17 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v3)) & ! [v17] : ! [v18] : (v18 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v17, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v17) = v18)) & ! [v17] : ! [v18] : (v18 = v0 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v17, v3) = v18)) & ! [v17] : ! [v18] : (v18 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v0)) & ! [v17] : ! [v18] : (v18 = v0 | ~ (hAPP(v2, v17) = v18)) & ! [v17] : ! [v18] : (v18 = c_fequal | ~ (c_HOL_Oequal__class_Oequal(v17) = v18) | ~ class_HOL_Oequal(v17)) & ! [v17] : ! [v18] : (v17 = v3 | v17 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v3)) & ! [v17] : ! [v18] : (v17 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v18)) & ! [v17] : ! [v18] : (v17 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v17) = v0)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v18, v17) = v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v10) | ? [v19] : ? [v20] : (hAPP(v19, v20) = v18 & hAPP(v8, v17) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v10) | ? [v19] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v17) = v10 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v17) = v10) | ? [v19] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v18, v19) = v10 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v18, v17) = v0) | ? [v19] : ? [v20] : (hAPP(v19, v20) = v18 & hAPP(v1, v17) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Power_Opower__class_Opower(v17) = v18) | ~ class_Power_Opower(v17) | ? [v19] : ? [v20] : (c_Power_Opower_Opower(v17, v19, v20) = v18 & c_Groups_Oone__class_Oone(v17) = v19 & c_Groups_Otimes__class_Otimes(v17) = v20)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v17) = v18) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v18) = v17) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ class_Rings_Odivision__ring(v17) | c_Rings_Oinverse__class_Oinverse(v17, v18) = v18) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ class_Rings_Ozero__neq__one(v17) | ? [v19] : ( ~ (v19 = v18) & c_Groups_Ozero__class_Ozero(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : (c_Groups_Ozero__class_Ozero(v17) = v19 & c_Orderings_Oord__class_Oless(v17, v19, v18))) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : (c_Groups_Ozero__class_Ozero(v17) = v19 & c_Orderings_Oord__class_Oless__eq(v17, v19, v18))) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : (c_Groups_Ozero__class_Ozero(v17) = v19 & ~ c_Orderings_Oord__class_Oless(v17, v18, v19))) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oone__class_Oone(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : (c_Groups_Ozero__class_Ozero(v17) = v19 & ~ c_Orderings_Oord__class_Oless__eq(v17, v18, v19))) & ! [v17] : ! [v18] : ( ~ (c_Nat_Osize__class_Osize(tc_Nat_Onat, v17) = v18) | ? [v19] : ? [v20] : (c_Nat_Osize__class_Osize(tc_Nat_Onat, v19) = v20 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v3) = v20 & c_Nat_OSuc(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Nat_Onat_Onat__size(v17) = v18) | ? [v19] : ? [v20] : (c_Nat_Onat_Onat__size(v19) = v20 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v3) = v20 & c_Nat_OSuc(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v18, v17) = v10) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v11, v17) = v18)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v17, v11) = v18) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v18)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v11, v17) = v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v18)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v3) = v18) | c_Nat_OSuc(v17) = v18) & ! [v17] : ! [v18] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v17) = v18) | c_Nat_OSuc(v17) = v18) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v18) = v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17)) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v17, v3) = v18) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v17) = v18) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v17)) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18)) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v18)) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | ? [v19] : ? [v20] : (c_Nat_Osize__class_Osize(tc_Nat_Onat, v18) = v19 & c_Nat_Osize__class_Osize(tc_Nat_Onat, v17) = v20 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v3) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Nat_OSuc(v17) = v18) | ? [v19] : ? [v20] : (c_Nat_Onat_Onat__size(v18) = v19 & c_Nat_Onat_Onat__size(v17) = v20 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v3) = v19)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Ocancel__comm__monoid__add(v17) | class_Groups_Ocancel__comm__monoid__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Ocancel__comm__monoid__add(v17) | class_Groups_Ocancel__ab__semigroup__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Ocancel__comm__monoid__add(v17) | class_Groups_Ocancel__semigroup__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Fields_Ofield(v17) | class_Divides_Oring__div(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Fields_Ofield(v17) | class_Divides_Osemiring__div(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Fields_Ofield(v17) | ? [v19] : (c_Polynomial_Opoly__gcd(v17, v19, v19) = v19 & c_Groups_Ozero__class_Ozero(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__semiring__1__strict(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__semiring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__semiring__strict(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__comm__semiring__strict(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Groups_Oordered__cancel__ab__semigroup__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Orderings_Oorder(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Orderings_Olinorder(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Orderings_Oord(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Orderings_Opreorder(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Groups_Oordered__comm__monoid__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__ring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Oordered__comm__semiring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Oordered__semiring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Oordered__ring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Oordered__cancel__semiring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__semiring__1(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Groups_Oordered__ab__semigroup__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Groups_Oordered__ab__semigroup__add__imp__le(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__idom(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Groups_Oordered__ab__group__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__semidom(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Rings_Olinordered__ring__strict(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Groups_Olinordered__ab__group__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | class_Int_Oring__char__0(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Olinordered__idom(v17) | ? [v19] : (c_Groups_Ozero__class_Ozero(v18) = v19 & ~ c_Polynomial_Opos__poly(v17, v19))) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__ring(v17) | class_Rings_Oring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__ring(v17) | class_Rings_Ocomm__ring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Oab__group__add(v17) | class_Groups_Ouminus(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Oab__group__add(v17) | class_Groups_Ogroup__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Oab__group__add(v17) | class_Groups_Oab__group__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Oab__group__add(v17) | ? [v19] : (c_Groups_Ouminus__class_Ouminus(v18, v19) = v19 & c_Groups_Ozero__class_Ozero(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__ring__1(v17) | class_Rings_Oring__1(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__ring__1(v17) | class_Rings_Ocomm__ring__1(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17) | class_Power_Opower(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17) | class_Rings_Odvd(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17) | class_Groups_Ocomm__monoid__mult(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17) | class_Groups_Omonoid__mult(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17) | class_Rings_Ozero__neq__one(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17) | class_Groups_Oone(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17) | class_Rings_Ocomm__semiring__1(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__1(v17) | ? [v19] : ? [v20] : ? [v21] : (c_Groups_Oone__class_Oone(v18) = v19 & c_Groups_Oone__class_Oone(v17) = v20 & c_Polynomial_OpCons(v17, v20, v21) = v19 & c_Groups_Ozero__class_Ozero(v18) = v21)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Ocomm__monoid__add(v17) | class_Groups_Omonoid__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Ocomm__monoid__add(v17) | class_Groups_Ocomm__monoid__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Ocomm__monoid__add(v17) | class_Groups_Oab__semigroup__add(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Oidom(v17) | class_Rings_Oring__1__no__zero__divisors(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Oidom(v17) | class_Rings_Oring__no__zero__divisors(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Oidom(v17) | class_Rings_Ono__zero__divisors(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Oidom(v17) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Oidom(v17) | class_Rings_Oidom(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_HOL_Oequal(v17) | ~ class_Groups_Ozero(v17) | class_HOL_Oequal(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Ozero(v17) | class_Groups_Ozero(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Groups_Ozero(v17) | ? [v19] : ? [v20] : (c_Polynomial_OpCons(v17, v19, v20) = v20 & c_Groups_Ozero__class_Ozero(v18) = v20 & c_Groups_Ozero__class_Ozero(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Osemiring__0(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Omult__zero(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Ocomm__semiring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Osemiring(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__0(v17) | class_Groups_Oab__semigroup__mult(v18)) & ! [v17] : ! [v18] : ( ~ (tc_Polynomial_Opoly(v17) = v18) | ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Ocomm__semiring__0(v18)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Fields_Ofield__inverse__zero(v17) | c_Rings_Oinverse__class_Oinverse(v17, v18) = v18) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Rings_Odivision__ring__inverse__zero(v17) | c_Rings_Oinverse__class_Oinverse(v17, v18) = v18) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Rings_Ozero__neq__one(v17) | ? [v19] : ( ~ (v19 = v18) & c_Groups_Oone__class_Oone(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Groups_Ogroup__add(v17) | c_Groups_Ouminus__class_Ouminus(v17, v18) = v18) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : ? [v20] : (c_Groups_Oone__class_Oone(v17) = v19 & c_Groups_Oplus__class_Oplus(v17, v19, v19) = v20 & c_Orderings_Oord__class_Oless(v17, v18, v20))) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : (c_Groups_Oone__class_Oone(v17) = v19 & c_Orderings_Oord__class_Oless(v17, v18, v19))) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : (c_Groups_Oone__class_Oone(v17) = v19 & c_Orderings_Oord__class_Oless__eq(v17, v18, v19))) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : (c_Groups_Oone__class_Oone(v17) = v19 & ~ c_Orderings_Oord__class_Oless(v17, v19, v18))) & ! [v17] : ! [v18] : ( ~ (c_Groups_Ozero__class_Ozero(v17) = v18) | ~ class_Rings_Olinordered__semidom(v17) | ? [v19] : (c_Groups_Oone__class_Oone(v17) = v19 & ~ c_Orderings_Oord__class_Oless__eq(v17, v19, v18))) & ! [v17] : ! [v18] : ( ~ (hAPP(v8, v17) = v18) | hAPP(v18, v11) = v17) & ! [v17] : ! [v18] : ( ~ (hAPP(v4, v17) = v18) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ( ~ (hAPP(v1, v17) = v18) | hAPP(v18, v3) = v17) & ! [v17] : ! [v18] : ( ~ (hAPP(v1, v17) = v18) | hAPP(v18, v0) = v0) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(v18, v17, v17) | ~ class_Orderings_Oorder(v18)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(v18, v17, v17) | ~ class_Orderings_Olinorder(v18) | ~ c_Orderings_Oord__class_Oless__eq(v18, v17, v17)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(v18, v17, v17) | ~ class_Orderings_Olinorder(v18)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(v18, v17, v17) | ~ class_Orderings_Opreorder(v18)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v17, v18)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v18)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | ? [v19] : ? [v20] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v19) = v20 & c_Nat_OSuc(v20) = v17)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v18) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v18) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17)) & ! [v17] : ! [v18] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | ? [v19] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v18, v19) = v17) & ? [v17] : ? [v18] : ! [v19] : (v18 = v17 | ~ class_Orderings_Olinorder(v19) | c_Orderings_Oord__class_Oless(v19, v18, v17) | c_Orderings_Oord__class_Oless(v19, v17, v18)) & ? [v17] : ? [v18] : ! [v19] : (v18 = v17 | ~ class_Rings_Olinordered__idom(v19) | c_Orderings_Oord__class_Oless(v19, v18, v17) | c_Orderings_Oord__class_Oless(v19, v17, v18)) & ? [v17] : ? [v18] : ! [v19] : ( ~ class_Orderings_Olinorder(v19) | c_Orderings_Oord__class_Oless(v19, v18, v17) | c_Orderings_Oord__class_Oless__eq(v19, v17, v18)) & ? [v17] : ? [v18] : ! [v19] : ( ~ class_Orderings_Olinorder(v19) | c_Orderings_Oord__class_Oless(v19, v17, v18) | c_Orderings_Oord__class_Oless__eq(v19, v18, v17)) & ? [v17] : ? [v18] : ! [v19] : ( ~ class_Orderings_Olinorder(v19) | c_Orderings_Oord__class_Oless__eq(v19, v18, v17) | c_Orderings_Oord__class_Oless__eq(v19, v17, v18)) & ? [v17] : ! [v18] : ( ~ class_Orderings_Oorder(v18) | c_Orderings_Oord__class_Oless__eq(v18, v17, v17)) & ? [v17] : ! [v18] : ( ~ class_Orderings_Olinorder(v18) | c_Orderings_Oord__class_Oless(v18, v17, v17) | c_Orderings_Oord__class_Oless__eq(v18, v17, v17)) & ? [v17] : ! [v18] : ( ~ class_Orderings_Opreorder(v18) | c_Orderings_Oord__class_Oless__eq(v18, v17, v17)) & ? [v17] : ! [v18] : ( ~ class_Rings_Ocomm__semiring__1(v18) | c_Rings_Odvd__class_Odvd(v18, v17, v17)) & ! [v17] : (v17 = v11 | ~ (hAPP(v12, v11) = v17)) & ! [v17] : (v17 = v3 | v17 = v0 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v5)) & ! [v17] : (v17 = v3 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v17)) & ! [v17] : (v17 = v3 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v3) = v17)) & ! [v17] : (v17 = v3 | ~ (hAPP(v4, v3) = v17)) & ! [v17] : (v17 = v3 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v3)) & ! [v17] : (v17 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v17)) & ! [v17] : (v17 = v0 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v3)) & ! [v17] : (v17 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v0)) & ! [v17] : ~ (c_Nat_OSuc(v17) = v17) & ! [v17] : ~ (c_Nat_OSuc(v17) = v0) & ! [v17] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v17) & ! [v17] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v11, v17)) & ! [v17] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v17) & ! [v17] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v0) & ! [v17] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17) | ? [v18] : c_Nat_OSuc(v18) = v17) & ! [v17] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v11, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v10, v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Osemiring__0(v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Omult__zero(v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Ocomm__semiring(v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Rings_Osemiring(v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Groups_Oab__semigroup__mult(v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Groups_Omonoid__add(v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Groups_Ocomm__monoid__add(v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Groups_Oab__semigroup__add(v17)) & ! [v17] : ( ~ class_Rings_Ocomm__semiring__0(v17) | class_Groups_Ozero(v17)) & ? [v17] : ? [v18] : (v18 = v17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v17, v18)) & ? [v17] : ? [v18] : (v18 = v17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v17, v18)) & ? [v17] : ? [v18] : (v18 = v17 | ? [v19] : ? [v20] : ? [v21] : ( ~ (v21 = v20) & hAPP(v18, v19) = v20 & hAPP(v17, v19) = v21)) & ? [v17] : ? [v18] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v17, v18)) & ? [v17] : ? [v18] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v18, v17) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v18)) & ? [v17] : (v17 = v0 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v17)) & ? [v17] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v17) & ? [v17] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v17, v0) & ? [v17] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v17) & ? [v17] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v17, v17) & ? [v17] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v17, v17) & ? [v17] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v17))
% 36.40/9.43 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16 yields:
% 36.40/9.43 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_5_5 = all_0_6_6) & c_HOL_Obool_Obool__size(c_fTrue) = all_0_16_16 & c_HOL_Obool_Obool__size(c_fFalse) = all_0_16_16 & c_Power_Opower__class_Opower(tc_Int_Oint) = all_0_9_9 & c_Power_Opower__class_Opower(tc_Nat_Onat) = all_0_10_10 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_0_6_6) = all_0_6_6 & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_0_5_5 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_0_13_13 & c_Nat_Osize__class_Osize(tc_Nat_Onat, all_0_16_16) = all_0_16_16 & c_Nat_Onat_Onat__size(all_0_16_16) = all_0_16_16 & c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_0_8_8 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_0_15_15 & c_Nat_OSuc(all_0_13_13) = all_0_11_11 & c_Nat_OSuc(all_0_16_16) = all_0_13_13 & c_Polynomial_OpCons(t_a, v_a, all_0_2_2) = all_0_1_1 & tc_Polynomial_Opoly(t_a) = all_0_3_3 & c_Groups_Ozero__class_Ozero(all_0_3_3) = all_0_2_2 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_0_6_6 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_0_16_16 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_0_1_1, v_h) = all_0_0_0 & hAPP(all_0_8_8, all_0_5_5) = all_0_4_4 & hAPP(all_0_10_10, all_0_13_13) = all_0_7_7 & hAPP(all_0_15_15, all_0_13_13) = all_0_12_12 & hAPP(all_0_15_15, all_0_16_16) = all_0_14_14 & class_Enum_Oenum(tc_HOL_Obool) & class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) & class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) & class_Divides_Oring__div(tc_Int_Oint) & class_Divides_Osemiring__div(tc_Int_Oint) & class_Divides_Osemiring__div(tc_Nat_Onat) & class_Rings_Oring__1(tc_Int_Oint) & class_Power_Opower(tc_Int_Oint) & class_Power_Opower(tc_Nat_Onat) & class_Rings_Osemiring__0(tc_Int_Oint) & class_Rings_Osemiring__0(tc_Nat_Onat) & class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) & class_Rings_Olinordered__semiring(tc_Int_Oint) & class_Rings_Olinordered__semiring(tc_Nat_Onat) & class_Rings_Olinordered__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) & class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) & class_Rings_Odvd(tc_Int_Oint) & class_Rings_Odvd(tc_Nat_Onat) & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, all_0_5_5) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, all_0_13_13) & c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_0_13_13, all_0_13_13) & class_Groups_Ouminus(tc_HOL_Obool) & class_Groups_Ouminus(tc_Int_Oint) & class_Orderings_Oorder(tc_HOL_Obool) & class_Orderings_Oorder(tc_Int_Oint) & class_Orderings_Oorder(tc_Nat_Onat) & class_Orderings_Olinorder(tc_Int_Oint) & class_Orderings_Olinorder(tc_Nat_Onat) & class_Orderings_Oord(tc_HOL_Obool) & class_Orderings_Oord(tc_Int_Oint) & class_Orderings_Oord(tc_Nat_Onat) & class_Lattices_Oboolean__algebra(tc_HOL_Obool) & class_Orderings_Opreorder(tc_HOL_Obool) & class_Orderings_Opreorder(tc_Int_Oint) & class_Orderings_Opreorder(tc_Nat_Onat) & class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) & class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) & class_Rings_Olinordered__ring(tc_Int_Oint) & class_Rings_Oordered__comm__semiring(tc_Int_Oint) & class_Rings_Oordered__comm__semiring(tc_Nat_Onat) & class_Rings_Oordered__semiring(tc_Int_Oint) & class_Rings_Oordered__semiring(tc_Nat_Onat) & class_Rings_Oordered__ring(tc_Int_Oint) & class_Rings_Oordered__cancel__semiring(tc_Int_Oint) & class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) & class_Rings_Olinordered__semiring__1(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) & class_Groups_Ocomm__monoid__mult(tc_Int_Oint) & class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) & class_Groups_Omonoid__mult(tc_Int_Oint) & class_Groups_Omonoid__mult(tc_Nat_Onat) & class_Rings_Ozero__neq__one(tc_Int_Oint) & class_Rings_Ozero__neq__one(tc_Nat_Onat) & class_Rings_Oring(tc_Int_Oint) & class_Rings_Olinordered__idom(tc_Int_Oint) & class_Groups_Oordered__ab__group__add(tc_Int_Oint) & class_Groups_Oone(tc_Int_Oint) & class_Groups_Oone(tc_Nat_Onat) & class_Groups_Ogroup__add(tc_Int_Oint) & class_Rings_Ocomm__ring(tc_Int_Oint) & class_Groups_Oab__group__add(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Nat_Onat) & class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) & class_Rings_Ocomm__ring__1(tc_Int_Oint) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, all_0_5_5) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, all_0_6_6) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, all_0_16_16) & class_Rings_Oring__no__zero__divisors(tc_Int_Oint) & class_Rings_Ono__zero__divisors(tc_Int_Oint) & class_Rings_Ono__zero__divisors(tc_Nat_Onat) & class_Rings_Omult__zero(tc_Int_Oint) & class_Rings_Omult__zero(tc_Nat_Onat) & class_Rings_Ocomm__semiring(tc_Int_Oint) & class_Rings_Ocomm__semiring(tc_Nat_Onat) & class_Rings_Osemiring(tc_Int_Oint) & class_Rings_Osemiring(tc_Nat_Onat) & class_Rings_Olinordered__ring__strict(tc_Int_Oint) & class_Groups_Oab__semigroup__mult(tc_Int_Oint) & class_Groups_Oab__semigroup__mult(tc_Nat_Onat) & class_Rings_Ocomm__semiring__1(tc_Int_Oint) & class_Rings_Ocomm__semiring__1(tc_Nat_Onat) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) & class_Groups_Olinordered__ab__group__add(tc_Int_Oint) & class_Groups_Omonoid__add(tc_Int_Oint) & class_Groups_Omonoid__add(tc_Nat_Onat) & class_Groups_Ocomm__monoid__add(tc_Int_Oint) & class_Groups_Ocomm__monoid__add(tc_Nat_Onat) & class_Groups_Oab__semigroup__add(tc_Int_Oint) & class_Groups_Oab__semigroup__add(tc_Nat_Onat) & class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Ocancel__semigroup__add(tc_Int_Oint) & class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) & class_Int_Oring__char__0(tc_Int_Oint) & class_Rings_Oidom(tc_Int_Oint) & hBOOL(c_fTrue) & class_HOL_Oequal(tc_HOL_Obool) & class_HOL_Oequal(tc_Int_Oint) & class_HOL_Oequal(tc_Nat_Onat) & class_Groups_Ozero(tc_Int_Oint) & class_Groups_Ozero(tc_Nat_Onat) & class_Rings_Ocomm__semiring__0(t_a) & class_Rings_Ocomm__semiring__0(tc_Int_Oint) & class_Rings_Ocomm__semiring__0(tc_Nat_Onat) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, all_0_16_16) & ~ hBOOL(c_fFalse) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5) | ~ (c_Groups_Oone__class_Oone(v2) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v12, v15) = v16) | ~ (c_Polynomial_Osynthetic__div(v2, v0, v1) = v11) | ~ (c_Polynomial_Opoly(v2, v0) = v13) | ~ (c_Polynomial_OpCons(v2, v14, v7) = v15) | ~ (c_Polynomial_OpCons(v2, v6, v7) = v8) | ~ (c_Polynomial_OpCons(v2, v5, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v7) | ~ (hAPP(v13, v1) = v14) | ~ (hAPP(v10, v11) = v12) | ~ (hAPP(v4, v9) = v10) | ~ class_Rings_Ocomm__ring__1(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v7) | ~ (c_Groups_Ominus__class_Ominus(v4, v2, v0) = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v12, v13) = v14) | ~ (c_Groups_Oplus__class_Oplus(v4, v10, v11) = v12) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v8, v0) = v11) | ~ (hAPP(v6, v9) = v13) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ class_RealVector_Oreal__normed__algebra(v4) | ? [v15] : ? [v16] : ? [v17] : (c_Groups_Ominus__class_Ominus(v4, v16, v17) = v14 & hAPP(v15, v2) = v16 & hAPP(v6, v0) = v17 & hAPP(v5, v3) = v15)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (c_If(v4, v11, v3, v12) = v13) | ~ (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v0) = v12) | ~ (tc_Polynomial_Opoly(v5) = v9) | ~ (c_Groups_Ozero__class_Ozero(v9) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v7, v13) = v14) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v2, v1) = v6) | ~ (hAPP(c_fequal, v0) = v8) | ~ class_Groups_Ozero(v5) | ? [v15] : (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v15) = v14 & c_Polynomial_OpCons(v5, v1, v0) = v15)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v4 = v1 | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v7) | ~ (c_Polynomial_Oorder(v2, v0, v1) = v11) | ~ (c_Nat_OSuc(v11) = v12) | ~ (c_Polynomial_OpCons(v2, v7, v4) = v8) | ~ (c_Polynomial_OpCons(v2, v6, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v10, v12) = v13) | ~ (hAPP(v5, v9) = v10) | ~ c_Rings_Odvd__class_Odvd(v3, v13, v1) | ~ class_Rings_Oidom(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v4 = v1 | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v7) | ~ (c_Polynomial_Oorder(v2, v0, v1) = v11) | ~ (c_Nat_OSuc(v11) = v12) | ~ (c_Polynomial_OpCons(v2, v7, v4) = v8) | ~ (c_Polynomial_OpCons(v2, v6, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v10, v12) = v13) | ~ (hAPP(v5, v9) = v10) | ~ class_Rings_Oidom(v2) | ? [v14] : (hAPP(v10, v11) = v14 & c_Rings_Odvd__class_Odvd(v3, v14, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v2) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v0) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ class_Rings_Oordered__ring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v4) = v14 & ( ~ c_Orderings_Oord__class_Oless(v5, v16, v9) | c_Orderings_Oord__class_Oless(v5, v13, v0)) & ( ~ c_Orderings_Oord__class_Oless(v5, v13, v0) | c_Orderings_Oord__class_Oless(v5, v16, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v2) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v0) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ class_Rings_Oordered__ring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v4) = v14 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v16, v9) | c_Orderings_Oord__class_Oless__eq(v5, v13, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v13, v0) | c_Orderings_Oord__class_Oless__eq(v5, v16, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v2) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v0) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ class_Rings_Oring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v4) = v14 & ( ~ (v16 = v9) | v13 = v0) & ( ~ (v13 = v0) | v16 = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v0) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v4) = v7) | ~ class_Rings_Oordered__ring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v1) = v14 & ( ~ c_Orderings_Oord__class_Oless(v5, v9, v16) | c_Orderings_Oord__class_Oless(v5, v2, v13)) & ( ~ c_Orderings_Oord__class_Oless(v5, v2, v13) | c_Orderings_Oord__class_Oless(v5, v9, v16)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v0) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v4) = v7) | ~ class_Rings_Oordered__ring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v1) = v14 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v9, v16) | c_Orderings_Oord__class_Oless__eq(v5, v2, v13)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v13) | c_Orderings_Oord__class_Oless__eq(v5, v9, v16)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v0) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v4) = v7) | ~ class_Rings_Oring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v1) = v14 & ( ~ (v16 = v9) | v13 = v2) & ( ~ (v13 = v2) | v16 = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Otimes__class_Otimes(v8) = v9) | ~ (c_Groups_Oplus__class_Oplus(v8, v12, v3) = v13) | ~ (tc_Polynomial_Opoly(v7) = v8) | ~ (hAPP(v10, v2) = v11) | ~ (hAPP(v10, v0) = v12) | ~ (hAPP(v9, v5) = v10) | ~ c_Polynomial_Opdivmod__rel(v7, v6, v5, v4, v3) | ~ c_Polynomial_Opdivmod__rel(v7, v4, v2, v1, v0) | ~ class_Fields_Ofield(v7) | c_Polynomial_Opdivmod__rel(v7, v6, v11, v1, v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (c_Divides_Odiv__class_Omod(v5, v11, v3) = v12) | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (hAPP(v10, v0) = v11) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v2) = v10) | ~ class_Divides_Osemiring__div(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Divides_Odiv__class_Omod(v5, v4, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v14 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v15 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v16 & ( ~ (v16 = v15) | ~ (v14 = v13)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v5 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (c_Polynomial_Ocoeff(v2, v10) = v11) | ~ (c_Polynomial_OpCons(v2, v5, v6) = v7) | ~ (c_Polynomial_OpCons(v2, v1, v7) = v8) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v6) | ~ (hAPP(v11, v0) = v12) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v4, v8) = v9) | ~ class_Rings_Ocomm__semiring__1(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v4 = v1 | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v7) | ~ (c_Polynomial_Oorder(v2, v0, v1) = v11) | ~ (c_Polynomial_OpCons(v2, v7, v4) = v8) | ~ (c_Polynomial_OpCons(v2, v6, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v10, v11) = v12) | ~ (hAPP(v5, v9) = v10) | ~ class_Rings_Oidom(v2) | c_Rings_Odvd__class_Odvd(v3, v12, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v4 = v1 | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v7) | ~ (c_Polynomial_Oorder(v2, v0, v1) = v11) | ~ (c_Polynomial_OpCons(v2, v7, v4) = v8) | ~ (c_Polynomial_OpCons(v2, v6, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v10, v11) = v12) | ~ (hAPP(v5, v9) = v10) | ~ class_Rings_Oidom(v2) | ? [v13] : ? [v14] : (c_Nat_OSuc(v11) = v13 & hAPP(v10, v13) = v14 & ~ c_Rings_Odvd__class_Odvd(v3, v14, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v9) | ~ (c_Groups_Ominus__class_Ominus(v4, v2, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v8, v11) = v12) | ~ (hAPP(v10, v0) = v11) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v9) = v10) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Oring(v4) | ? [v13] : ? [v14] : ? [v15] : (c_Groups_Ominus__class_Ominus(v4, v13, v15) = v12 & hAPP(v14, v0) = v15 & hAPP(v6, v2) = v13 & hAPP(v5, v1) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5) | ~ (c_Groups_Oone__class_Oone(v2) = v6) | ~ (c_Polynomial_Oorder(v2, v1, v0) = v11) | ~ (c_Polynomial_OpCons(v2, v6, v7) = v8) | ~ (c_Polynomial_OpCons(v2, v5, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v7) | ~ (hAPP(v10, v11) = v12) | ~ (hAPP(v4, v9) = v10) | ~ class_Rings_Oidom(v2) | c_Rings_Odvd__class_Odvd(v3, v12, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v4) | ~ (hAPP(v10, v0) = v11) | ~ (hAPP(v9, v11) = v12) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v4, v8) = v9) | ~ (hAPP(v3, v6) = v7) | ~ (hAPP(v3, v1) = v10) | ~ class_Rings_Oring__1(v2) | ? [v13] : ? [v14] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v13 & hAPP(v14, v0) = v12 & hAPP(v3, v13) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oordered__ring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ c_Orderings_Oord__class_Oless(v5, v16, v0) | c_Orderings_Oord__class_Oless(v5, v9, v12)) & ( ~ c_Orderings_Oord__class_Oless(v5, v9, v12) | c_Orderings_Oord__class_Oless(v5, v16, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oordered__ring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v16, v0) | c_Orderings_Oord__class_Oless__eq(v5, v9, v12)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v9, v12) | c_Orderings_Oord__class_Oless__eq(v5, v16, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oordered__ring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ c_Orderings_Oord__class_Oless(v5, v9, v12) | c_Orderings_Oord__class_Oless(v5, v2, v16)) & ( ~ c_Orderings_Oord__class_Oless(v5, v2, v16) | c_Orderings_Oord__class_Oless(v5, v9, v12)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oordered__ring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v9, v12) | c_Orderings_Oord__class_Oless__eq(v5, v2, v16)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v16) | c_Orderings_Oord__class_Oless__eq(v5, v9, v12)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ (v16 = v0) | v12 = v9) & ( ~ (v12 = v9) | v16 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ (v16 = v2) | v12 = v9) & ( ~ (v12 = v9) | v16 = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (c_Polynomial_Odegree(v2, v10) = v11) | ~ (c_Polynomial_OpCons(v2, v5, v6) = v7) | ~ (c_Polynomial_OpCons(v2, v1, v7) = v8) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v6) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v4, v8) = v9) | ~ class_Rings_Ocomm__semiring__1(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Divides_Odiv__class_Omod(v5, v10, v3) = v11) | ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Groups_Otimes__class_Otimes(v5) = v8) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v2) = v9) | ~ class_Divides_Osemiring__div(v5) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Divides_Odiv__class_Omod(v5, v15, v3) = v16 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v12 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v13 & hAPP(v14, v1) = v15 & hAPP(v8, v4) = v14 & ( ~ (v13 = v7) | ~ (v12 = v6) | v16 = v11))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Divides_Odiv__class_Omod(v5, v10, v3) = v11) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ (c_Groups_Otimes__class_Otimes(v5) = v8) | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v8, v4) = v9) | ~ class_Divides_Osemiring__div(v5) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Divides_Odiv__class_Omod(v5, v15, v3) = v16 & c_Divides_Odiv__class_Omod(v5, v4, v3) = v12 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v13 & hAPP(v14, v0) = v15 & hAPP(v8, v2) = v14 & ( ~ (v13 = v7) | ~ (v12 = v6) | v16 = v11))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v6) | ~ (hAPP(v4, v1) = v9) | ~ class_Groups_Ocomm__monoid__mult(v3) | ? [v12] : ? [v13] : ? [v14] : (hAPP(v14, v0) = v11 & hAPP(v12, v1) = v13 & hAPP(v5, v2) = v12 & hAPP(v4, v13) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v6) | ~ (hAPP(v4, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v12] : ? [v13] : ? [v14] : (hAPP(v14, v0) = v11 & hAPP(v12, v1) = v13 & hAPP(v5, v2) = v12 & hAPP(v4, v13) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Polynomial_Odegree(v2, v1) = v8) | ~ (c_Polynomial_Odegree(v2, v0) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v8, v9) = v10) | ~ (c_Polynomial_Ocoeff(v2, v6) = v7) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v7, v10) = v11) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Groups_Otimes__class_Otimes(v2) = v12 & c_Polynomial_Ocoeff(v2, v1) = v13 & c_Polynomial_Ocoeff(v2, v0) = v16 & hAPP(v16, v9) = v17 & hAPP(v15, v17) = v11 & hAPP(v13, v8) = v14 & hAPP(v12, v14) = v15)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Polynomial_Ocoeff(v2, v1) = v6) | ~ (c_Polynomial_Ocoeff(v2, v0) = v9) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v5, v7) = v8) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Groups_Otimes__class_Otimes(v12) = v13 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v4) = v17 & c_Polynomial_Ocoeff(v2, v15) = v16 & tc_Polynomial_Opoly(v2) = v12 & hAPP(v16, v17) = v11 & hAPP(v14, v0) = v15 & hAPP(v13, v1) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~ (hAPP(v9, v2) = v10) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ class_Rings_Olinordered__semiring__1__strict(v5) | ~ c_Orderings_Oord__class_Oless(v5, v4, v3) | ~ c_Orderings_Oord__class_Oless(v5, v2, v3) | c_Orderings_Oord__class_Oless(v5, v11, v3) | ? [v12] : ? [v13] : ? [v14] : (c_Groups_Oone__class_Oone(v5) = v14 & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v13 & c_Groups_Ozero__class_Ozero(v5) = v12 & ( ~ (v14 = v13) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v1) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~ (hAPP(v9, v2) = v10) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ class_Rings_Olinordered__semiring__1(v5) | ~ c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v3) | c_Orderings_Oord__class_Oless__eq(v5, v11, v3) | ? [v12] : ? [v13] : ? [v14] : (c_Groups_Oone__class_Oone(v5) = v14 & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v13 & c_Groups_Ozero__class_Ozero(v5) = v12 & ( ~ (v14 = v13) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v1) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v10) = v11) | ~ (c_Polynomial_Opcompose(v3, v1, v0) = v9) | ~ (c_Polynomial_OpCons(v3, v2, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Groups_Ozero__class_Ozero(v4) = v5) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v7, v0) = v8) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v12] : (c_Polynomial_Opcompose(v3, v12, v0) = v11 & c_Polynomial_OpCons(v3, v2, v1) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v9, v0) = v10) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v10) = v11) | ~ (hAPP(v8, v2) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_Rings_Osemiring(v4) | ? [v12] : ? [v13] : ? [v14] : (c_Groups_Oplus__class_Oplus(v4, v14, v0) = v11 & c_Groups_Oplus__class_Oplus(v4, v3, v1) = v12 & hAPP(v13, v2) = v14 & hAPP(v5, v12) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v10) = v11) | ~ (c_Polynomial_Osmult(v3, v1, v2) = v7) | ~ (c_Polynomial_OpCons(v3, v8, v9) = v10) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Groups_Ozero__class_Ozero(v3) = v8) | ~ (hAPP(v6, v0) = v9) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v12] : (c_Polynomial_OpCons(v3, v1, v0) = v12 & hAPP(v6, v12) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v10) = v11) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v6) | ~ (c_Polynomial_OpCons(v3, v7, v9) = v10) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Groups_Ozero__class_Ozero(v3) = v7) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v5, v1) = v8) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v12] : ? [v13] : (c_Polynomial_OpCons(v3, v2, v1) = v12 & hAPP(v13, v0) = v11 & hAPP(v5, v12) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v8, v0) = v10) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : (hAPP(v9, v0) = v12 & hAPP(v8, v12) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v8) = v10) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v9) | ~ (hAPP(v5, v1) = v7) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : (hAPP(v13, v8) = v11 & hAPP(v6, v2) = v12 & hAPP(v5, v12) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (hAPP(v14, v0) = v15 & hAPP(v13, v15) = v11 & hAPP(v6, v1) = v12 & hAPP(v5, v12) = v13 & hAPP(v5, v2) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : (hAPP(v12, v10) = v13 & hAPP(v6, v13) = v11 & hAPP(v5, v2) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : (hAPP(v9, v12) = v11 & hAPP(v8, v0) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (hAPP(v14, v0) = v15 & hAPP(v13, v15) = v11 & hAPP(v6, v2) = v12 & hAPP(v5, v12) = v13 & hAPP(v5, v1) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_HOL_Oequal__class_Oequal(v5) = v6) | ~ (c_HOL_Oequal__class_Oequal(v4) = v7) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v10, v0) = v11) | ~ (hAPP(v8, v1) = v9) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v2) = v10) | ~ class_HOL_Oequal(v4) | ~ class_Groups_Ozero(v4) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_Polynomial_OpCons(v4, v3, v2) = v12 & c_Polynomial_OpCons(v4, v1, v0) = v14 & hAPP(v13, v14) = v15 & hAPP(v6, v12) = v13 & ( ~ hBOOL(v15) | (hBOOL(v11) & hBOOL(v9))) & ( ~ hBOOL(v11) | ~ hBOOL(v9) | hBOOL(v15)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (c_HOL_Oequal__class_Oequal(v2) = v7) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v5) | ~ (c_Groups_Ozero__class_Ozero(v2) = v8) | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v0) = v11) | ~ (hAPP(v4, v5) = v6) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2) | ? [v12] : ? [v13] : (c_Polynomial_OpCons(v2, v1, v0) = v12 & hAPP(v6, v12) = v13 & ( ~ hBOOL(v13) | (hBOOL(v11) & hBOOL(v10))) & ( ~ hBOOL(v11) | ~ hBOOL(v10) | hBOOL(v13)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (c_HOL_Oequal__class_Oequal(v2) = v6) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v5) | ~ (c_Groups_Ozero__class_Ozero(v2) = v8) | ~ (hAPP(v10, v5) = v11) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v0) = v10) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2) | ? [v12] : ? [v13] : ? [v14] : (c_Polynomial_OpCons(v2, v1, v0) = v12 & hAPP(v13, v5) = v14 & hAPP(v4, v12) = v13 & ( ~ hBOOL(v14) | (hBOOL(v11) & hBOOL(v9))) & ( ~ hBOOL(v11) | ~ hBOOL(v9) | hBOOL(v14)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v7, v9) = v10) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_Rings_Oring(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v13 & c_Groups_Ominus__class_Ominus(v4, v2, v0) = v11 & c_Groups_Oplus__class_Oplus(v4, v12, v15) = v10 & hAPP(v14, v0) = v15 & hAPP(v6, v11) = v12 & hAPP(v5, v13) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v7, v9) = v10) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_RealVector_Oreal__normed__algebra(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v11 & c_Groups_Ominus__class_Ominus(v4, v2, v0) = v13 & c_Groups_Oplus__class_Oplus(v4, v16, v17) = v10 & c_Groups_Oplus__class_Oplus(v4, v14, v15) = v16 & hAPP(v12, v13) = v14 & hAPP(v12, v0) = v15 & hAPP(v8, v13) = v17 & hAPP(v5, v11) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v5, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v9, v0) = v10) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Odvd(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v10) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__ring(v3) | ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v5, v0) = v11 & c_Rings_Odvd__class_Odvd(v3, v2, v11))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v5, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v9, v0) = v10) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Odvd(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__ring(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v10) | ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v5, v0) = v11 & ~ c_Rings_Odvd__class_Odvd(v3, v2, v11))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v7) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v8) = v9) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Odivision__ring(v2) | ? [v11] : ? [v12] : (c_Groups_Ominus__class_Ominus(v2, v3, v4) = v12 & c_Groups_Ozero__class_Ozero(v2) = v11 & (v12 = v10 | v11 = v1 | v11 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v7) = v8) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v11] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v11 & hAPP(v6, v11) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v5, v0) = v9) | ~ (hAPP(v4, v2) = v5) | ~ class_Groups_Omonoid__mult(v3) | ? [v11] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v11 & hAPP(v5, v11) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v7) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v8) = v9) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Odivision__ring(v2) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v12 & c_Groups_Ozero__class_Ozero(v2) = v11 & (v12 = v10 | v11 = v1 | v11 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v5, v8) = v9) | ~ (hAPP(v5, v6) = v7) | ~ class_Fields_Ofield(v2) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v12 & c_Groups_Ozero__class_Ozero(v2) = v11 & (v12 = v10 | v11 = v1 | v11 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Polynomial_Omonom(v4, v3, v2) = v7) | ~ (c_Polynomial_Omonom(v4, v1, v0) = v9) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v7) = v8) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Groups_Otimes__class_Otimes(v4) = v11 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v14 & c_Polynomial_Omonom(v4, v13, v14) = v10 & hAPP(v12, v1) = v13 & hAPP(v11, v3) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v8, v9) = v10) | ~ (hAPP(v7, v2) = v9) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v7) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v7, v0) = v12 & hAPP(v6, v2) = v11 & ( ~ (v13 = v10) | v3 = v1 | v2 = v0) & (v13 = v10 | ( ~ (v3 = v1) & ~ (v2 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v8, v9) = v10) | ~ (hAPP(v7, v1) = v9) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v7, v0) = v12 & hAPP(v6, v1) = v11 & ( ~ (v13 = v10) | v3 = v2 | v1 = v0) & (v13 = v10 | ( ~ (v3 = v2) & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v9) = v10) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v11 & hAPP(v12, v0) = v10 & hAPP(v5, v11) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v9) = v10) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v8, v2) = v12 & hAPP(v6, v0) = v11 & ( ~ (v13 = v10) | v3 = v1 | v2 = v0) & (v13 = v10 | ( ~ (v3 = v1) & ~ (v2 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v9) = v10) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v8, v1) = v12 & hAPP(v6, v0) = v11 & ( ~ (v13 = v10) | v3 = v2 | v1 = v0) & (v13 = v10 | ( ~ (v3 = v2) & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Opoly(v3, v2) = v5) | ~ (c_Polynomial_Opoly(v3, v1) = v8) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v7, v9) = v10) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_Groups_Otimes__class_Otimes(v11) = v12 & c_Polynomial_Opoly(v3, v14) = v15 & tc_Polynomial_Opoly(v3) = v11 & hAPP(v15, v0) = v10 & hAPP(v13, v1) = v14 & hAPP(v12, v2) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v0) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) = v8) | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(all_0_8_8, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, all_0_6_6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v0) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) = v8) | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(all_0_8_8, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v8) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_HOL_Oequal__class_Oequal(v5) = v6) | ~ (c_Polynomial_OpCons(v4, v3, v2) = v7) | ~ (c_Polynomial_OpCons(v4, v1, v0) = v9) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v7) = v8) | ~ class_HOL_Oequal(v4) | ~ class_Groups_Ozero(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_HOL_Oequal__class_Oequal(v4) = v11 & hAPP(v14, v0) = v15 & hAPP(v12, v1) = v13 & hAPP(v11, v3) = v12 & hAPP(v6, v2) = v14 & ( ~ hBOOL(v15) | ~ hBOOL(v13) | hBOOL(v10)) & ( ~ hBOOL(v10) | (hBOOL(v15) & hBOOL(v13))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v6) | ~ (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v8) | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v6, v3) = v7) | ~ class_Divides_Oring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v4, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v11 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v12 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v13 & ( ~ (v13 = v12) | ~ (v11 = v10)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v6, v3) = v7) | ~ (c_Groups_Oplus__class_Oplus(v5, v4, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v2, v0) = v8) | ~ class_Divides_Osemiring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v4, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v11 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v12 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v13 & ( ~ (v13 = v12) | ~ (v11 = v10)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v9) = v8) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v7) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ (hAPP(v5, v3) = v6) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | c_Groups_Ozero__class_Ozero(v4) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v8) | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ class_Divides_Oring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v12 & c_Divides_Odiv__class_Omod(v5, v12, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v4, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v11 & ( ~ (v11 = v7) | ~ (v10 = v6) | v13 = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v8) | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ class_Divides_Oring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v12 & c_Divides_Odiv__class_Omod(v5, v12, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v11 & ( ~ (v11 = v7) | ~ (v10 = v6) | v13 = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_13_13) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v7) = v8) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ class_Groups_Omonoid__mult(v2) | hAPP(v5, v1) = v9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Groups_Oplus__class_Oplus(v5, v2, v0) = v8) | ~ class_Divides_Osemiring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v12, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v11 & c_Groups_Oplus__class_Oplus(v5, v4, v1) = v12 & ( ~ (v11 = v7) | ~ (v10 = v6) | v13 = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ (c_Groups_Oplus__class_Oplus(v5, v4, v1) = v8) | ~ class_Divides_Osemiring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v12, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v4, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v11 & c_Groups_Oplus__class_Oplus(v5, v2, v0) = v12 & ( ~ (v11 = v7) | ~ (v10 = v6) | v13 = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Divides_Odiv__class_Omod(v3, v8, v0) = v9) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v5) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v10] : ? [v11] : (c_Divides_Odiv__class_Omod(v3, v11, v0) = v9 & hAPP(v10, v1) = v11 & hAPP(v4, v2) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Divides_Osemiring__div(v3) | ? [v10] : ? [v11] : (c_Divides_Odiv__class_Omod(v3, v2, v0) = v10 & hAPP(v11, v1) = v9 & hAPP(v4, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower_Opower(v4, v3, v2) = v5) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v2, v1) = v7) | ? [v10] : (c_Nat_OSuc(v0) = v10 & hAPP(v6, v10) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (c_Polynomial_Opoly(v3, v7) = v8) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Power_Opower__class_Opower(v3) = v10 & c_Polynomial_Opoly(v3, v2) = v11 & hAPP(v13, v1) = v9 & hAPP(v11, v0) = v12 & hAPP(v10, v12) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ c_Rings_Odvd__class_Odvd(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ~ class_Rings_Ocomm__semiring__1(v4) | c_Rings_Odvd__class_Odvd(v4, v7, v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v3) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v8) = v9) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : (c_Polynomial_Opoly(v3, v10) = v11 & c_Polynomial_Omonom(v3, v2, v1) = v10 & hAPP(v11, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v7) = v8) | ~ class_Groups_Ocomm__monoid__mult(v3) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (hAPP(v13, v0) = v14 & hAPP(v12, v14) = v9 & hAPP(v10, v0) = v11 & hAPP(v5, v11) = v12 & hAPP(v4, v2) = v10 & hAPP(v4, v1) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v7) = v8) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (hAPP(v13, v0) = v14 & hAPP(v12, v14) = v9 & hAPP(v10, v0) = v11 & hAPP(v5, v11) = v12 & hAPP(v4, v2) = v10 & hAPP(v4, v1) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Nat_OSuc(v1) = v6) | ~ (hAPP(v8, v6) = v9) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v8) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v9) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0) | ? [v10] : (c_Groups_Ozero__class_Ozero(v3) = v10 & ~ c_Orderings_Oord__class_Oless__eq(v3, v10, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v8, v0) = v9) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v6) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v5, v6) = v7) | ~ class_Rings_Osemiring(v4) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Groups_Oplus__class_Oplus(v4, v13, v0) = v14 & c_Groups_Oplus__class_Oplus(v4, v11, v14) = v9 & hAPP(v12, v2) = v13 & hAPP(v10, v2) = v11 & hAPP(v5, v3) = v10 & hAPP(v5, v1) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v8) | ~ (c_Polynomial_Omonom(v4, v7, v8) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Groups_Otimes__class_Otimes(v10) = v11 & c_Polynomial_Omonom(v4, v3, v2) = v12 & c_Polynomial_Omonom(v4, v1, v0) = v14 & tc_Polynomial_Opoly(v4) = v10 & hAPP(v13, v14) = v9 & hAPP(v11, v12) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Opoly(v3, v7) = v8) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_Groups_Otimes__class_Otimes(v3) = v10 & c_Polynomial_Opoly(v3, v2) = v11 & c_Polynomial_Opoly(v3, v1) = v14 & hAPP(v14, v0) = v15 & hAPP(v13, v15) = v9 & hAPP(v11, v0) = v12 & hAPP(v10, v12) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Olinordered__semiring__strict(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless(v4, v10, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Olinordered__semiring__strict(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Olinordered__semiring__strict(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless(v4, v10, v1) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Olinordered__semiring__strict(v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | c_Orderings_Oord__class_Oless(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless(v4, v10, v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ c_Rings_Odvd__class_Odvd(v4, v3, v2) | ~ c_Rings_Odvd__class_Odvd(v4, v1, v0) | ~ class_Rings_Ocomm__semiring__1(v4) | c_Rings_Odvd__class_Odvd(v4, v7, v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Oordered__semiring(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Oordered__semiring(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v8) = v9) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v10 & hAPP(v11, v1) = v9 & hAPP(v4, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v8) = v9) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Ocomm__semiring(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v8) = v9) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v8) = v9) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v8) = v9) | ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v10] : ? [v11] : (c_Polynomial_Opoly(v3, v10) = v11 & c_Polynomial_OpCons(v3, v2, v1) = v10 & hAPP(v11, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v0) = v9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ (hAPP(all_0_8_8, v4) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v0) = v9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ (hAPP(all_0_8_8, v4) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v0) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v8) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ (hAPP(all_0_15_15, v1) = v6) | ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v12, v0) = v9 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v10 & hAPP(v11, v2) = v12 & hAPP(all_0_15_15, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Polynomial_Opoly__rec(v2, v5, v3, v4, v0) = v8) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v6) | ~ class_Groups_Ozero(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Polynomial_Opoly__rec(v2, v5, v3, v4, v16) = v17 & c_Polynomial_OpCons(v5, v1, v0) = v16 & tc_Polynomial_Opoly(v5) = v12 & c_Groups_Ozero__class_Ozero(v12) = v13 & c_Groups_Ozero__class_Ozero(v5) = v10 & hAPP(v14, v3) = v15 & hAPP(v11, v13) = v14 & hAPP(v4, v10) = v11 & ( ~ (v15 = v3) | v17 = v9))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v1) = v9) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v2) = v7) | ~ class_Fields_Ofield(v4) | ? [v10] : ? [v11] : ? [v12] : (c_Polynomial_Odegree(v4, v3) = v12 & c_Polynomial_Odegree(v4, v1) = v11 & c_Groups_Ozero__class_Ozero(v5) = v10 & ( ~ (v9 = v0) | c_Polynomial_Opdivmod__rel(v4, v0, v3, v2, v1) | (v10 = v3 & ~ (v3 = v2)) | ( ~ (v10 = v3) & ~ (v10 = v1) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v11, v12))) & ( ~ c_Polynomial_Opdivmod__rel(v4, v0, v3, v2, v1) | (v9 = v0 & ( ~ (v10 = v3) | v3 = v2) & (v10 = v3 | v10 = v1 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v11, v12)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v2 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Nat_OSuc(v1) = v6) | ~ (hAPP(v8, v6) = v7) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v8) | ~ class_Rings_Olinordered__semidom(v3) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2) | ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v1) = v8) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v1) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v3, v10, v1) = v8 & hAPP(v9, v0) = v10 & hAPP(v4, v2) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v1) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Divides_Osemiring__div(v3) | c_Divides_Odiv__class_Omod(v3, v2, v1) = v8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v0) = v8) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v3, v10, v0) = v8 & hAPP(v9, v1) = v10 & hAPP(v4, v2) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v0) = v8) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v9] : (c_Divides_Odiv__class_Omod(v3, v9, v0) = v8 & hAPP(v5, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v0) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Divides_Osemiring__div(v3) | c_Divides_Odiv__class_Omod(v3, v2, v0) = v8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v7) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v9] : (c_Divides_Odiv__class_Omod(v3, v1, v0) = v9 & hAPP(v5, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower_Opower(v4, v3, v2) = v5) | ~ (c_Nat_OSuc(v0) = v7) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ? [v9] : ? [v10] : (hAPP(v9, v10) = v8 & hAPP(v6, v0) = v10 & hAPP(v2, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v5, v3) = v6) | ~ c_Rings_Odvd__class_Odvd(v4, v7, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2) | ~ class_Rings_Ocomm__semiring__1(v4) | c_Rings_Odvd__class_Odvd(v4, v8, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Polynomial_Opoly(v3, v2) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Power_Opower__class_Opower(v9) = v10 & c_Polynomial_Opoly(v3, v12) = v13 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v13, v0) = v8 & hAPP(v11, v1) = v12 & hAPP(v10, v2) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Groups_Omonoid__mult(v3) | ? [v9] : ? [v10] : (hAPP(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(all_0_15_15, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(all_0_15_15, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v6, v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_15_15, v1) = v6) | ~ class_Groups_Omonoid__mult(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_15_15, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless(v2, v8, v7) | ? [v9] : ? [v10] : (c_Groups_Oone__class_Oone(v2) = v10 & c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ c_Orderings_Oord__class_Oless(v2, v9, v1) | ~ c_Orderings_Oord__class_Oless(v2, v1, v10)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v9] : (c_Groups_Oone__class_Oone(v2) = v9 & ( ~ c_Orderings_Oord__class_Oless(v2, v9, v1) | c_Orderings_Oord__class_Oless(v2, v9, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v6, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v7, v6) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v7) | ~ class_Groups_Omonoid__mult(v2) | ? [v9] : (hAPP(v9, v1) = v8 & hAPP(v3, v6) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v6) = v7) | ~ class_Groups_Omonoid__mult(v2) | ? [v9] : (hAPP(v9, v6) = v8 & hAPP(v3, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v6) = v7) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v5, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v2) = v6) | ~ (hAPP(v7, v5) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless(v2, v5, v8) | ? [v9] : (c_Groups_Oone__class_Oone(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v9, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Groups_Omonoid__mult(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v4, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v7) | ~ (hAPP(v3, v1) = v4) | ~ class_Power_Opower(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v4, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v7) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v4, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Oinverse(v5, v4) = v7) | ~ (c_Polynomial_Osmult(v5, v7, v1) = v8) | ~ (c_Polynomial_Osmult(v5, v4, v2) = v6) | ~ c_Polynomial_Opdivmod__rel(v5, v3, v2, v1, v0) | ~ class_Fields_Ofield(v5) | c_Groups_Ozero__class_Ozero(v5) = v4 | c_Polynomial_Opdivmod__rel(v5, v3, v6, v8, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v4, v10, v12) = v8 & hAPP(v11, v0) = v12 & hAPP(v9, v0) = v10 & hAPP(v5, v2) = v9 & hAPP(v5, v1) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v7) = v8) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Osmult(v3, v2, v1) = v9 & hAPP(v10, v0) = v8 & hAPP(v5, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Osmult(v3, v2, v10) = v8 & hAPP(v9, v0) = v10 & hAPP(v5, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v7) = v8) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : (c_Polynomial_Osmult(v3, v1, v0) = v9 & hAPP(v6, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v0) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : (c_Polynomial_Osmult(v3, v1, v9) = v8 & hAPP(v6, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v9, v13) = v8 & c_Polynomial_Osmult(v3, v2, v0) = v9 & c_Polynomial_OpCons(v3, v10, v12) = v13 & c_Groups_Ozero__class_Ozero(v3) = v10 & hAPP(v11, v0) = v12 & hAPP(v5, v1) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_OpCons(v3, v1, v0) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v4, v9, v12) = v8 & c_Polynomial_Osmult(v3, v1, v2) = v9 & c_Polynomial_OpCons(v3, v10, v11) = v12 & c_Groups_Ozero__class_Ozero(v3) = v10 & hAPP(v6, v0) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v9 & hAPP(v5, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v9 & hAPP(v5, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Ocoeff(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Ocoeff(v3, v9) = v10 & c_Polynomial_Osmult(v3, v2, v1) = v9 & hAPP(v10, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v7) | ~ (c_Polynomial_OpCons(v3, v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : (c_Polynomial_Osmult(v3, v2, v9) = v8 & c_Polynomial_OpCons(v3, v1, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Osmult(v3, v2, v1) = v9 & c_Polynomial_Opoly(v3, v9) = v10 & hAPP(v10, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Olinordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | c_Orderings_Oord__class_Oless(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | c_Orderings_Oord__class_Oless(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v9, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Olinordered__ring__strict(v3) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | (c_Orderings_Oord__class_Oless(v3, v9, v1) & c_Orderings_Oord__class_Oless(v3, v2, v0)) | (c_Orderings_Oord__class_Oless(v3, v1, v9) & c_Orderings_Oord__class_Oless(v3, v0, v2))) & (c_Orderings_Oord__class_Oless(v3, v6, v8) | (( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) | ~ c_Orderings_Oord__class_Oless(v3, v2, v0)) & ( ~ c_Orderings_Oord__class_Oless(v3, v1, v9) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Oidom(v3) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & (v9 = v1 | ~ c_Rings_Odvd__class_Odvd(v3, v6, v8) | c_Rings_Odvd__class_Odvd(v3, v2, v0)) & (c_Rings_Odvd__class_Odvd(v3, v6, v8) | ( ~ (v9 = v1) & ~ c_Rings_Odvd__class_Odvd(v3, v2, v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Groups_Oab__semigroup__mult(v3) | ? [v9] : ? [v10] : (hAPP(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(v4, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v1) = v8 & hAPP(v5, v0) = v9 & hAPP(v4, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(v4, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v7) | ~ (hAPP(v4, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v0, v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v7) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Oordered__ring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v9, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Oordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : (hAPP(v6, v0) = v9 & hAPP(v5, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Groups_Oab__semigroup__mult(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : (hAPP(v6, v9) = v8 & hAPP(v5, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & c_Orderings_Oord__class_Oless__eq(v2, v9, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v8, v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v8) | (v8 = v0 & v1 = v0)) & ( ~ (v9 = v0) | ~ (v1 = v0) | v8 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v0) | ~ (v1 = v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v8)) & (c_Orderings_Oord__class_Oless(v2, v9, v8) | (v9 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v0) | ~ (v1 = v0) | c_Orderings_Oord__class_Oless__eq(v2, v8, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v9) | (v9 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ (c_Polynomial_OpCons(v4, v3, v2) = v6) | ~ (c_Polynomial_OpCons(v4, v1, v0) = v7) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ class_Groups_Ocomm__monoid__add(v4) | ? [v9] : ? [v10] : (c_Groups_Oplus__class_Oplus(v5, v2, v0) = v10 & c_Groups_Oplus__class_Oplus(v4, v3, v1) = v9 & c_Polynomial_OpCons(v4, v9, v10) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v2, v0) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v6) | ~ (c_Polynomial_OpCons(v4, v6, v7) = v8) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ class_Groups_Ocomm__monoid__add(v4) | ? [v9] : ? [v10] : (c_Groups_Oplus__class_Oplus(v5, v9, v10) = v8 & c_Polynomial_OpCons(v4, v3, v2) = v9 & c_Polynomial_OpCons(v4, v1, v0) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v6, v7) = v8) | ~ (c_Polynomial_Osmult(v3, v0, v5) = v6) | ~ (c_Polynomial_OpCons(v3, v2, v5) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v1, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : (c_Polynomial_OpCons(v3, v2, v1) = v9 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v9, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v5, v7) = v8) | ~ (c_Polynomial_Ocoeff(v3, v2) = v4) | ~ (c_Polynomial_Ocoeff(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v9, v2, v1) = v10 & c_Polynomial_Ocoeff(v3, v10) = v11 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v5, v7) = v8) | ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v9, v2, v1) = v10 & c_Polynomial_Opoly(v3, v10) = v11 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v1) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v6) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(all_0_8_8, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v3) | ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v9 & ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v9) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v8)) & ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v8) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Osmult(v5, v0, v4) = v6) | ~ (c_Polynomial_Osmult(v5, v0, v2) = v7) | ~ (c_Polynomial_Osmult(v5, v0, v1) = v8) | ~ c_Polynomial_Opdivmod__rel(v5, v4, v3, v2, v1) | ~ class_Fields_Ofield(v5) | c_Polynomial_Opdivmod__rel(v5, v6, v3, v7, v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v7) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v5) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_HOL_Oequal__class_Oequal(v2) = v9 & c_Groups_Ozero__class_Ozero(v2) = v10 & hAPP(v11, v1) = v12 & hAPP(v9, v10) = v11 & hAPP(v6, v0) = v13 & ( ~ hBOOL(v13) | ~ hBOOL(v12) | hBOOL(v8)) & ( ~ hBOOL(v8) | (hBOOL(v13) & hBOOL(v12))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v7) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_HOL_Oequal__class_Oequal(v2) = v9 & c_Groups_Ozero__class_Ozero(v2) = v11 & hAPP(v13, v7) = v14 & hAPP(v10, v11) = v12 & hAPP(v9, v1) = v10 & hAPP(v4, v0) = v13 & ( ~ hBOOL(v14) | ~ hBOOL(v12) | hBOOL(v8)) & ( ~ hBOOL(v8) | (hBOOL(v14) & hBOOL(v12))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (c_Divides_Odiv__class_Omod(v3, v6, v1) = v7) | ~ (c_Divides_Odiv__class_Omod(v3, v4, v1) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v6) | ~ class_Divides_Oring__div(v3) | ? [v8] : ? [v9] : ( ~ (v9 = v8) & c_Divides_Odiv__class_Omod(v3, v2, v1) = v8 & c_Divides_Odiv__class_Omod(v3, v0, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v2 | ~ (c_Polynomial_Opoly__gcd(v3, v1, v0) = v7) | ~ (c_Polynomial_Odegree(v3, v2) = v5) | ~ (c_Polynomial_Ocoeff(v3, v2) = v4) | ~ (hAPP(v4, v5) = v6) | ~ class_Fields_Ofield(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oone__class_Oone(v3) = v11 & tc_Polynomial_Opoly(v3) = v8 & c_Groups_Ozero__class_Ozero(v8) = v9 & c_Groups_Ozero__class_Ozero(v3) = v10 & ( ~ c_Rings_Odvd__class_Odvd(v8, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v8, v2, v0) | (v9 = v0 & v1 = v0 & ~ (v10 = v6)) | ( ~ (v11 = v6) & ( ~ (v9 = v0) | ~ (v1 = v0))) | (c_Rings_Odvd__class_Odvd(v8, v12, v1) & c_Rings_Odvd__class_Odvd(v8, v12, v0) & ~ c_Rings_Odvd__class_Odvd(v8, v12, v2))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v2 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v1) = v6) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ class_Rings_Olinordered__semidom(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2) | ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (c_Polynomial_Odegree(v2, v1) = v4) | ~ (c_Polynomial_Odegree(v2, v0) = v7) | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v6) | ~ (hAPP(v6, v7) = v5) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oidom(v2) | ? [v8] : (tc_Polynomial_Opoly(v2) = v8 & ( ~ c_Rings_Odvd__class_Odvd(v8, v1, v0) | ~ c_Rings_Odvd__class_Odvd(v8, v0, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v6) = v1) | ~ (hAPP(v4, v5) = v7) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v0) | ? [v8] : ? [v9] : ((c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v8 & hAPP(v2, v8) = v9 & ~ hBOOL(v9)) | (hAPP(v2, v6) = v8 & hBOOL(v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v4, v5) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v8] : (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v8 & c_Divides_Odiv__class_Omod(v3, v8, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v0, v3) = v6) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v3) = v4) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Oring__1(v1) | ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(v1, v9, v3) = v7 & hAPP(v8, v0) = v9 & hAPP(v2, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ class_Divides_Oring__div(v5) | ? [v8] : ? [v9] : ? [v10] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v8 & c_Groups_Ominus__class_Ominus(v5, v2, v0) = v10 & c_Divides_Odiv__class_Omod(v5, v10, v3) = v9 & c_Divides_Odiv__class_Omod(v5, v8, v3) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ class_Divides_Osemiring__div(v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v13, v3) = v11 & c_Divides_Odiv__class_Omod(v5, v10, v3) = v11 & c_Groups_Otimes__class_Otimes(v5) = v8 & hAPP(v12, v0) = v13 & hAPP(v9, v1) = v10 & hAPP(v8, v4) = v9 & hAPP(v8, v2) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ class_Divides_Osemiring__div(v5) | ? [v8] : ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v5, v10, v3) = v9 & c_Divides_Odiv__class_Omod(v5, v8, v3) = v9 & c_Groups_Oplus__class_Oplus(v5, v4, v1) = v8 & c_Groups_Oplus__class_Oplus(v5, v2, v0) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v3, v10, v1) = v7 & c_Divides_Odiv__class_Omod(v3, v2, v1) = v8 & hAPP(v9, v0) = v10 & hAPP(v4, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : (c_Divides_Odiv__class_Omod(v3, v8, v0) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Divides_Odiv__class_Omod(v3, v11, v0) = v7 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v8 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v10 & hAPP(v9, v10) = v11 & hAPP(v4, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v3, v10, v0) = v7 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v8 & hAPP(v9, v1) = v10 & hAPP(v4, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(v3, v9, v0) = v7 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v8 & hAPP(v5, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Divides_Odiv__class_Omod(v3, v9, v11) = v7 & hAPP(v10, v1) = v11 & hAPP(v8, v1) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v0) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(v3, v8, v9) = v7 & hAPP(v5, v1) = v8 & hAPP(v5, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_8_8, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_8_8, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2) | ? [v8] : (hAPP(v4, v3) = v8 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v7, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_6_6) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, all_0_6_6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_6_6) | ? [v8] : (hAPP(v4, v3) = v8 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v6, v1) = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v5) | ~ (c_Nat_OSuc(v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v8] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v8, v1) = v7 & c_Nat_OSuc(v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v5) | ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_15_15, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_15_15, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3) | ? [v8] : (hAPP(v4, v3) = v8 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v7, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Polynomial_Odegree(v2, v6) = v7) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : ? [v10] : (c_Polynomial_Odegree(v2, v1) = v8 & hAPP(v9, v0) = v10 & hAPP(all_0_15_15, v8) = v9 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v7, v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Groups_Omonoid__mult(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Otimes__class_Otimes(v3) = v8 & hAPP(v10, v11) = v7 & hAPP(v8, v9) = v10 & hAPP(v5, v1) = v9 & hAPP(v5, v0) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Otimes__class_Otimes(v3) = v8 & hAPP(v10, v11) = v7 & hAPP(v8, v9) = v10 & hAPP(v5, v1) = v9 & hAPP(v5, v0) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v3) = v9 & c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) | ~ c_Orderings_Oord__class_Oless(v3, v0, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v3) = v9 & c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v6, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v6) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Odivision__ring(v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Rings_Oinverse__class_Oinverse(v2, v10) = v11 & c_Groups_Ozero__class_Ozero(v2) = v8 & hAPP(v9, v0) = v10 & hAPP(v3, v1) = v9 & (v11 = v7 | v8 = v1 | v8 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v8] : ? [v9] : (c_Rings_Oinverse__class_Oinverse(v2, v9) = v7 & hAPP(v8, v0) = v9 & hAPP(v3, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tc_fun(v3, v4) = v5) | ~ (hAPP(v2, v0) = v6) | ~ (hAPP(v1, v0) = v7) | ~ class_Orderings_Oord(v4) | ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v1) | c_Orderings_Oord__class_Oless__eq(v4, v6, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring(v2) | ? [v8] : (hAPP(v8, v0) = v7 & hAPP(v3, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v4) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v3, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v2, v9, v0) = v7 & hAPP(v8, v0) = v9 & hAPP(v3, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v4) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v3, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v2, v1, v9) = v7 & hAPP(v8, v1) = v9 & hAPP(v3, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Odegree(v2, v6) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Oidom(v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Odegree(v2, v1) = v9 & c_Polynomial_Odegree(v2, v0) = v10 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v9, v10) = v11 & c_Groups_Ozero__class_Ozero(v3) = v8 & (v11 = v7 | v8 = v1 | v8 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Odegree(v2, v6) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v8] : ? [v9] : ? [v10] : (c_Polynomial_Odegree(v2, v1) = v8 & c_Polynomial_Odegree(v2, v0) = v9 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v8, v9) = v10 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v7, v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Ocomm__semiring(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v1) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v1) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v1) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v1) = v11 & hAPP(v8, v1) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v0) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v8, v9) = v7 & hAPP(v5, v1) = v8 & hAPP(v5, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v8, v9) = v7 & hAPP(v5, v1) = v8 & hAPP(v5, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Osmult(v3, v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Osmult(v3, v2, v8) = v7 & c_Polynomial_Osmult(v3, v1, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Omonom(v3, v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Osmult(v3, v2, v8) = v7 & c_Polynomial_Omonom(v3, v1, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v0, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__ring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__comm__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__comm__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v0, v1) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v0, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v0, v1) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__ring__strict(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | (c_Orderings_Oord__class_Oless(v3, v8, v2) & c_Orderings_Oord__class_Oless(v3, v1, v0)) | (c_Orderings_Oord__class_Oless(v3, v2, v8) & c_Orderings_Oord__class_Oless(v3, v0, v1))) & (c_Orderings_Oord__class_Oless(v3, v6, v7) | (( ~ c_Orderings_Oord__class_Oless(v3, v8, v2) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0)) & ( ~ c_Orderings_Oord__class_Oless(v3, v2, v8) | ~ c_Orderings_Oord__class_Oless(v3, v0, v1)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Oidom(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & (v8 = v2 | ~ c_Rings_Odvd__class_Odvd(v3, v6, v7) | c_Rings_Odvd__class_Odvd(v3, v1, v0)) & (c_Rings_Odvd__class_Odvd(v3, v6, v7) | ( ~ (v8 = v2) & ~ c_Rings_Odvd__class_Odvd(v3, v1, v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Oidom(v2) | ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v8 & ( ~ (v7 = v5) | v8 = v1 | v1 = v0) & (v7 = v5 | ( ~ (v8 = v1) & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v3, v6) = v7) | ~ (c_Polynomial_Osmult(v4, v2, v1) = v6) | ~ (c_Polynomial_OpCons(v4, v0, v1) = v7) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v8] : (c_Polynomial_Osynthetic__div(v4, v3, v2) = v1 & c_Polynomial_Opoly(v4, v3) = v8 & hAPP(v8, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v1, v0) = v6) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v4, v8, v9) = v7 & c_Groups_Oplus__class_Oplus(v4, v3, v1) = v8 & c_Groups_Oplus__class_Oplus(v4, v2, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v4, v8, v9) = v7 & c_Groups_Oplus__class_Oplus(v4, v3, v2) = v8 & c_Groups_Oplus__class_Oplus(v4, v1, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Polynomial_Osmult(v3, v2, v1) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(v4, v1, v0) = v8 & c_Polynomial_Osmult(v3, v2, v8) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v0) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v8 & c_Polynomial_Osmult(v3, v8, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Polynomial_Omonom(v3, v2, v1) = v5) | ~ (c_Polynomial_Omonom(v3, v0, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v8 & c_Polynomial_Omonom(v3, v8, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (c_Polynomial_Ocoeff(v3, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & c_Polynomial_Ocoeff(v3, v2) = v8 & c_Polynomial_Ocoeff(v3, v1) = v10 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (c_Polynomial_Opoly(v3, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & c_Polynomial_Opoly(v3, v2) = v8 & c_Polynomial_Opoly(v3, v1) = v10 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1) | ~ (hAPP(v4, v5) = v7) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) | ? [v8] : ? [v9] : ((c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v8 & hAPP(v2, v8) = v9 & ~ hBOOL(v9)) | (hAPP(v2, v6) = v8 & hBOOL(v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1) | ~ (hAPP(v4, v5) = v7) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) | ? [v8] : ? [v9] : ((c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v8 & hAPP(v2, v8) = v9 & ~ hBOOL(v9)) | (hAPP(v2, v6) = v8 & hBOOL(v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v4) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v6) = v7) | ~ (hAPP(all_0_8_8, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | hBOOL(v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v2) = v10 & hAPP(v1, v10) = v11 & hAPP(v1, v8) = v9 & hBOOL(v9) & ~ hBOOL(v11)) | (hAPP(v1, v5) = v8 & ~ hBOOL(v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ (hAPP(all_0_8_8, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_8_8, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v0) = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(all_0_15_15, v4) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v11, v0) = v12 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v9, v12) = v7 & hAPP(v10, v2) = v11 & hAPP(v8, v2) = v9 & hAPP(all_0_15_15, v3) = v8 & hAPP(all_0_15_15, v1) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_15_15, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Ocoeff(v3, v4) = v5) | ~ (c_Nat_OSuc(v0) = v6) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ (hAPP(v5, v6) = v7) | ~ class_Groups_Ozero(v3) | ? [v8] : (c_Polynomial_Ocoeff(v3, v1) = v8 & hAPP(v8, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly(v4, v3) = v6) | ~ (c_Polynomial_OpCons(v4, v0, v1) = v5) | ~ (hAPP(v6, v2) = v7) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v8, v3, v9) = v10 & c_Polynomial_Osmult(v4, v2, v1) = v9 & c_Polynomial_Osynthetic__div(v4, v3, v2) = v11 & tc_Polynomial_Opoly(v4) = v8 & ( ~ (v10 = v5) | (v11 = v1 & v7 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (c_Polynomial_Opoly(v3, v1) = v5) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : ? [v9] : (c_Polynomial_Opoly(v3, v8) = v9 & c_Polynomial_Opcompose(v3, v2, v1) = v8 & hAPP(v9, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v6) = v7) | ~ (c_Polynomial_OpCons(v5, v1, v0) = v6) | ~ class_Groups_Ozero(v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_If(v4, v13, v3, v14) = v15 & c_Polynomial_Opoly__rec(v4, v5, v3, v2, v0) = v14 & tc_Polynomial_Opoly(v5) = v11 & c_Groups_Ozero__class_Ozero(v11) = v12 & hAPP(v10, v12) = v13 & hAPP(v9, v15) = v7 & hAPP(v8, v0) = v9 & hAPP(v2, v1) = v8 & hAPP(c_fequal, v0) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly__rec(v2, v5, v3, v4, v6) = v7) | ~ (c_Polynomial_OpCons(v5, v1, v0) = v6) | ~ class_Groups_Ozero(v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Polynomial_Opoly__rec(v2, v5, v3, v4, v0) = v16 & tc_Polynomial_Opoly(v5) = v10 & c_Groups_Ozero__class_Ozero(v10) = v11 & c_Groups_Ozero__class_Ozero(v5) = v8 & hAPP(v15, v16) = v17 & hAPP(v14, v0) = v15 & hAPP(v12, v3) = v13 & hAPP(v9, v11) = v12 & hAPP(v4, v8) = v9 & hAPP(v4, v1) = v14 & ( ~ (v13 = v3) | v17 = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ (hAPP(all_0_15_15, v2) = v6) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ (hAPP(all_0_8_8, v4) = v5) | ~ (hAPP(all_0_9_9, v2) = v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v8 & hAPP(v3, v8) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v7] : (c_Groups_Oone__class_Oone(v2) = v7 & ~ c_Orderings_Oord__class_Oless(v2, v7, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Lattices_Oab__semigroup__idem__mult(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Ocomm__semiring__0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v2, v3) = v4) | ~ class_Power_Opower(v1) | ~ class_Rings_Osemiring__0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (c_Polynomial_Opoly__rec(v0, v3, v1, v2, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Groups_Ozero__class_Ozero(v4) = v5) | ~ class_Groups_Ozero(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = v1) & c_Groups_Ozero__class_Ozero(v3) = v7 & hAPP(v9, v1) = v10 & hAPP(v8, v5) = v9 & hAPP(v2, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v2) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v0) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_6_6) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v2) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v0) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v2) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v0) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | ~ (c_Divides_Odiv__class_Omod(v5, v3, v2) = v6) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ c_Polynomial_Opdivmod__rel(v4, v3, v2, v1, v0) | ~ class_Fields_Ofield(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v1 | ~ c_Polynomial_Opdivmod__rel(v6, v5, v4, v3, v2) | ~ c_Polynomial_Opdivmod__rel(v6, v5, v4, v1, v0) | ~ class_Fields_Ofield(v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (c_Polynomial_Ocoeff(v3, v4) = v5) | ~ (c_Polynomial_Omonom(v3, v0, v2) = v4) | ~ (hAPP(v5, v1) = v6) | ~ class_Groups_Ozero(v3) | c_Groups_Ozero__class_Ozero(v3) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v0 | ~ c_Polynomial_Opdivmod__rel(v6, v5, v4, v3, v2) | ~ c_Polynomial_Opdivmod__rel(v6, v5, v4, v1, v0) | ~ class_Fields_Ofield(v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_16_16 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_9_9, v1) = v3) | ~ (hAPP(all_0_9_9, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_16_16 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_9_9, v1) = v3) | ~ (hAPP(all_0_9_9, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_16_16 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_10_10, v1) = v3) | ~ (hAPP(all_0_10_10, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_16_16 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_10_10, v1) = v3) | ~ (hAPP(all_0_10_10, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ? [v7] : (c_Groups_Oone__class_Oone(v3) = v7 & ~ c_Orderings_Oord__class_Oless(v3, v7, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ hBOOL(v6) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (c_Polynomial_Opoly__rec(v6, v5, v4, v3, v2) = v1) | ~ (c_Polynomial_Opoly__rec(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_16_16 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_9_9, v2) = v3) | ~ (hAPP(all_0_9_9, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_16_16 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_10_10, v2) = v3) | ~ (hAPP(all_0_10_10, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v4, v1) = v5) | ~ (c_Divides_Odiv__class_Omod(v3, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v4) | ~ class_Divides_Oring__div(v3) | ? [v7] : (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v7 & c_Divides_Odiv__class_Omod(v3, v7, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v4) = v5) | ~ (c_Divides_Odiv__class_Omod(v3, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ class_Divides_Oring__div(v3) | ? [v7] : (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v7 & c_Divides_Odiv__class_Omod(v3, v7, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v4, v5) = v6) | ~ (c_Groups_Oone__class_Oone(v1) = v5) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Oring__1(v1) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(v1, v0, v5) = v9 & c_Groups_Oplus__class_Oplus(v1, v0, v5) = v7 & hAPP(v8, v9) = v6 & hAPP(v2, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v4, v5, v0) = v6) | ~ (c_Polynomial_Osmult(v3, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v4, v1, v0) = v7 & c_Polynomial_Osmult(v3, v2, v7) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v4, v1, v5) = v6) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(v4, v1, v0) = v8 & c_Groups_Ozero__class_Ozero(v3) = v7 & (v8 = v6 | v7 = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v4, v1, v0) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v4, v7, v0) = v6 & c_Polynomial_Osmult(v3, v2, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v1) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v7] : ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(v3, v8, v1) = v9 & c_Divides_Odiv__class_Omod(v3, v0, v1) = v7 & c_Groups_Ouminus__class_Ouminus(v3, v2) = v8 & ( ~ (v7 = v4) | v9 = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v1) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v0) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v1) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v1) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v5) | ~ class_Divides_Oring__div(v3) | ? [v7] : ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(v3, v8, v1) = v9 & c_Divides_Odiv__class_Omod(v3, v2, v1) = v7 & c_Groups_Ouminus__class_Ouminus(v3, v0) = v8 & ( ~ (v7 = v4) | v9 = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v1) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v4) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v2, v5, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Divides_Osemiring__div(v2) | c_Groups_Ozero__class_Ozero(v2) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v2, v5, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Divides_Osemiring__div(v2) | c_Groups_Ozero__class_Ozero(v2) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v5, v1) = v6) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_9_9, v3) = v4) | ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v8, v1) = v6 & hAPP(v7, v0) = v8 & hAPP(all_0_9_9, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v7] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v7, v0) = v6 & hAPP(v3, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v5, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v7] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Odivision__ring(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v8 & c_Groups_Ozero__class_Ozero(v2) = v7 & hAPP(v9, v0) = v10 & hAPP(v3, v8) = v9 & (v10 = v6 | v7 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Odivision__ring__inverse__zero(v2) | ? [v7] : ? [v8] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v7 & hAPP(v8, v0) = v6 & hAPP(v3, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Odivision__ring(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Rings_Oinverse__class_Oinverse(v2, v9) = v10 & c_Groups_Ozero__class_Ozero(v2) = v7 & hAPP(v8, v0) = v9 & hAPP(v3, v1) = v8 & (v10 = v6 | v7 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Odivision__ring__inverse__zero(v2) | ? [v7] : ? [v8] : (c_Rings_Oinverse__class_Oinverse(v2, v8) = v6 & hAPP(v7, v0) = v8 & hAPP(v3, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring__1(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v9 & c_Groups_Oone__class_Oone(v2) = v8 & c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v13, v0) = v14 & hAPP(v12, v14) = v6 & hAPP(v10, v0) = v11 & hAPP(v7, v11) = v12 & hAPP(v3, v9) = v10 & hAPP(v3, v1) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Power_Opower(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v8, v9) = v6 & hAPP(v7, v1) = v8 & hAPP(v4, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Groups_Omonoid__mult(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v9, v1) = v6 & hAPP(v7, v8) = v9 & hAPP(v4, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ? [v7] : ? [v8] : (c_Groups_Oone__class_Oone(v2) = v8 & c_Groups_Ozero__class_Ozero(v2) = v7 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v7, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v7] : ? [v8] : (c_Groups_Oone__class_Oone(v2) = v8 & c_Groups_Ozero__class_Ozero(v2) = v7 & ( ~ c_Orderings_Oord__class_Oless(v2, v7, v1) | ~ c_Orderings_Oord__class_Oless(v2, v1, v8) | c_Orderings_Oord__class_Oless(v2, v6, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v7] : (c_Groups_Oone__class_Oone(v2) = v7 & ( ~ c_Orderings_Oord__class_Oless(v2, v7, v1) | c_Orderings_Oord__class_Oless(v2, v7, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v9, v1) = v6 & hAPP(v7, v8) = v9 & hAPP(v4, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v8, v9) = v6 & hAPP(v7, v1) = v8 & hAPP(v4, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v7 & c_Rings_Oinverse__class_Oinverse(v2, v0) = v9 & hAPP(v8, v9) = v6 & hAPP(v3, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Odivision__ring(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v10 & c_Rings_Oinverse__class_Oinverse(v2, v0) = v8 & c_Groups_Ozero__class_Ozero(v2) = v7 & hAPP(v9, v10) = v11 & hAPP(v3, v8) = v9 & (v11 = v6 | v7 = v1 | v7 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v4) = v5) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Osmult(v1, v5, v0) = v6) | ~ (hAPP(v2, v3) = v4) | ~ class_Fields_Ofield(v1) | ? [v7] : ? [v8] : (c_Polynomial_Opoly__gcd(v1, v0, v8) = v6 & tc_Polynomial_Opoly(v1) = v7 & c_Groups_Ozero__class_Ozero(v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tc_fun(v2, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v4, v1) = v5) | ~ (hAPP(v5, v0) = v6) | ~ class_Groups_Ouminus(v3) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v3, v7) = v6 & hAPP(v1, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tc_fun(v2, v3) = v4) | ~ (hAPP(v1, v5) = v6) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | ? [v7] : (hAPP(v0, v5) = v7 & c_Orderings_Oord__class_Oless__eq(v3, v6, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tc_fun(v2, v3) = v4) | ~ (hAPP(v0, v5) = v6) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | ? [v7] : (hAPP(v1, v5) = v7 & c_Orderings_Oord__class_Oless__eq(v3, v7, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ (c_Polynomial_Odegree(v2, v3) = v5) | ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (hAPP(v4, v5) = v6) | ~ class_Fields_Ofield(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Oone__class_Oone(v2) = v10 & tc_Polynomial_Opoly(v2) = v7 & c_Groups_Ozero__class_Ozero(v7) = v8 & c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v8 = v0) | ~ (v1 = v0) | v9 = v6) & (v10 = v6 | (v8 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (c_Polynomial_Ocoeff(v2, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ class_Groups_Oab__group__add(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & c_Polynomial_Ocoeff(v2, v1) = v7 & hAPP(v7, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (c_Polynomial_Opoly(v2, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__ring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & c_Polynomial_Opoly(v2, v1) = v7 & hAPP(v7, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Polynomial_OpCons(v2, v4, v5) = v6) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v3, v7) = v6 & c_Polynomial_OpCons(v2, v1, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v7 & hAPP(v8, v0) = v6 & hAPP(v3, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v7 & hAPP(v4, v7) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v7 & hAPP(v8, v0) = v6 & hAPP(v3, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v7 & hAPP(v4, v7) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & hAPP(v7, v0) = v8 & hAPP(v3, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v8 & hAPP(v7, v8) = v6 & hAPP(v3, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & hAPP(v7, v0) = v8 & hAPP(v3, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oidom(v2) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v0) = v7 & ( ~ (v8 = v5) | v6 = v1 | v1 = v0) & (v8 = v5 | ( ~ (v6 = v1) & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v7 & hAPP(v8, v0) = v6 & hAPP(v3, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v2, v7) = v6 & hAPP(v4, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v2, v7) = v6 & hAPP(v4, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Ocomm__ring__1(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v3, v3) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Groups_Oplus__class_Oplus(v1, v0, v0) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v7) = v8 & c_Polynomial_Opcompose(v2, v1, v0) = v7 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ c_Polynomial_Opos__poly(v2, v1) | ~ c_Polynomial_Opos__poly(v2, v0) | ~ class_Rings_Olinordered__idom(v2) | c_Polynomial_Opos__poly(v2, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ c_Rings_Odvd__class_Odvd(v3, v6, v0) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ c_Rings_Odvd__class_Odvd(v3, v6, v0) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v0) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v1, v7) = v8 & hAPP(v9, v0) = v6 & hAPP(v3, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v5) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v0, v7) = v8 & hAPP(v9, v1) = v6 & hAPP(v3, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_Onat_Onat__case(v3, v2, v1) = v4) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | hAPP(v1, v0) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | c_Orderings_Oord__class_Oless(v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v1, v0) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : (c_Groups_Oplus__class_Oplus(v4, v7, v8) = v6 & c_Polynomial_Osmult(v3, v2, v1) = v7 & c_Polynomial_Osmult(v3, v2, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v1, v5) = v6) | ~ (c_Polynomial_Osmult(v2, v0, v4) = v5) | ~ (c_Polynomial_Osynthetic__div(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v7] : ? [v8] : (c_Polynomial_Opoly(v2, v1) = v7 & c_Polynomial_OpCons(v2, v8, v4) = v6 & hAPP(v7, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v7 & hAPP(v3, v7) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Ocoeff(v3, v4) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Otimes__class_Otimes(v3) = v7 & c_Polynomial_Ocoeff(v3, v1) = v9 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v6 & hAPP(v7, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Otimes__class_Otimes(v3) = v7 & c_Polynomial_Opoly(v3, v1) = v9 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v6 & hAPP(v7, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v6) | ~ (c_Polynomial_OpCons(v4, v0, v1) = v5) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v7, v3, v8) = v9 & c_Polynomial_Osmult(v4, v2, v1) = v8 & c_Polynomial_Opoly(v4, v3) = v10 & tc_Polynomial_Opoly(v4) = v7 & hAPP(v10, v2) = v11 & ( ~ (v9 = v5) | (v11 = v0 & v6 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Osynthetic__div(v2, v1, v0) = v3) | ~ (c_Polynomial_Opoly(v2, v1) = v4) | ~ (c_Polynomial_OpCons(v2, v5, v3) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v7] : ? [v8] : (c_Groups_Oplus__class_Oplus(v7, v1, v8) = v6 & c_Polynomial_Osmult(v2, v0, v3) = v8 & tc_Polynomial_Opoly(v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (c_Polynomial_Opcompose(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : (c_Polynomial_Opoly(v3, v2) = v7 & c_Polynomial_Opoly(v3, v1) = v8 & hAPP(v8, v0) = v9 & hAPP(v7, v9) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (c_Polynomial_Omonom(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Power_Opower__class_Opower(v3) = v9 & c_Groups_Otimes__class_Otimes(v3) = v7 & hAPP(v10, v1) = v11 & hAPP(v9, v0) = v10 & hAPP(v8, v11) = v6 & hAPP(v7, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Otimes__class_Otimes(v3) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v11) = v6 & c_Polynomial_Opoly(v3, v1) = v9 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v11 & hAPP(v7, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v1, v4) = v5) | ~ (hAPP(v1, v0) = v6) | ~ hBOOL(v5) | ~ class_Groups_Ozero(v2) | hBOOL(v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_OpCons(v2, v7, v8) = v10 & hAPP(v1, v10) = v11 & hAPP(v1, v8) = v9 & hBOOL(v9) & ~ hBOOL(v11))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_8_8, v4) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_8_8, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_9_9, v4) = v5) | ~ (hAPP(all_0_9_9, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_15_15, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v4) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_15_15, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ (hAPP(all_0_8_8, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_8_8, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_9_9, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_9_9, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_15_15, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v5) = v6) | ~ (hAPP(all_0_8_8, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | ~ hBOOL(v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v2) = v9 & hAPP(v1, v9) = v10 & hAPP(v1, v7) = v8 & hBOOL(v8) & ~ hBOOL(v10)) | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v4) = v7 & hAPP(v1, v7) = v8 & hBOOL(v8)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Odegree(v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v0) | ? [v7] : ? [v8] : (c_Polynomial_Odegree(v3, v2) = v7 & c_Polynomial_Odegree(v3, v1) = v8 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v8, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v7, v0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Odegree(v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v6, v0) | ? [v7] : ? [v8] : (c_Polynomial_Odegree(v3, v2) = v7 & c_Polynomial_Odegree(v3, v1) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v7, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Omult__zero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_RealVector_Oreal__normed__algebra(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | v0 = all_0_16_16 | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Power_Opower(v1) | ~ class_Rings_Osemiring__0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Omonoid__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Omult__zero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_RealVector_Oreal__normed__algebra(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v4) | ~ (hAPP(all_0_15_15, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, all_0_16_16) = v5) | ~ (hAPP(v2, all_0_16_16) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ (hAPP(all_0_15_15, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4) | ~ class_Groups_Ogroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v4) = v5) | ~ class_Groups_Ogroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Ocomm__monoid__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Ocomm__monoid__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Omonoid__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (c_Polynomial_Omonom(v2, v0, v1) = v3) | ~ (hAPP(v4, v1) = v5) | ~ class_Groups_Ozero(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = all_0_13_13 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v1) = v5) | ~ (c_Nat_OSuc(v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = all_0_16_16 | ~ (c_Polynomial_Odegree(v1, v4) = v5) | ~ (c_Polynomial_OpCons(v1, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ozero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v1 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v5) | ~ (c_Polynomial_OpCons(v4, v1, v0) = v5) | ~ class_Groups_Ozero(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v0 | v1 = all_0_16_16 | ~ (hAPP(v5, v1) = v4) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v0 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v5) | ~ (c_Polynomial_OpCons(v4, v1, v0) = v5) | ~ class_Groups_Ozero(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_6_6 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_6_6 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_16_16 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_15_15, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_HOL_Oequal__class_Oequal(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ hBOOL(v5) | ~ class_HOL_Oequal(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_If(v5, v4, v3, v2) = v1) | ~ (c_If(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(v4, v1, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ class_Groups_Oordered__ab__group__add(v4) | c_Orderings_Oord__class_Oless(v4, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(v4, v1, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Groups_Oordered__ab__group__add(v4) | c_Orderings_Oord__class_Oless(v4, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(v4, v1, v0) = v5) | ~ class_Groups_Oordered__ab__group__add(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(v4, v1, v0) = v5) | ~ class_Groups_Oordered__ab__group__add(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ominus__class_Ominus(v3, v6, v7) = v8 & c_Divides_Odiv__class_Omod(v3, v8, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v6 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v6] : ? [v7] : (c_Groups_Ominus__class_Ominus(v3, v6, v1) = v7 & c_Divides_Odiv__class_Omod(v3, v7, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v6] : ? [v7] : (c_Groups_Ominus__class_Ominus(v3, v2, v6) = v7 & c_Divides_Odiv__class_Omod(v3, v7, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v3, v4) = v5) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Rings_Odivision__ring(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v9 & c_Groups_Otimes__class_Otimes(v2) = v7 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v11, v4) = v12 & hAPP(v8, v9) = v10 & hAPP(v7, v10) = v11 & hAPP(v7, v3) = v8 & (v12 = v5 | v6 = v1 | v6 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v4) = v5) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v4) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v2) = v5) | ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | c_Divides_Odiv__class_Omod(v3, v0, v2) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Divides_Osemiring__div(v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v1) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v1) = v6 & c_Groups_Oplus__class_Oplus(v3, v6, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : (c_Divides_Odiv__class_Omod(v3, v1, v0) = v6 & c_Groups_Ouminus__class_Ouminus(v3, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(v3, v8, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v6 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v7 & c_Groups_Oplus__class_Oplus(v3, v6, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v6, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | c_Divides_Odiv__class_Omod(v3, v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : (c_Divides_Odiv__class_Omod(v3, v6, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v3, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (c_Polynomial_Opoly__gcd(v2, v1, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Rings_Oinverse__class_Oinverse(v2, v10) = v11 & c_Polynomial_Opoly__gcd(v2, v0, v1) = v7 & c_Polynomial_Odegree(v2, v0) = v9 & c_Polynomial_Ocoeff(v2, v0) = v8 & c_Polynomial_Osmult(v2, v11, v0) = v12 & c_Groups_Ozero__class_Ozero(v3) = v6 & hAPP(v8, v9) = v10 & ( ~ (v6 = v1) | v12 = v7) & (v7 = v5 | v6 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (c_Polynomial_Opoly__gcd(v2, v1, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : ? [v7] : (c_Polynomial_Opoly__gcd(v2, v0, v1) = v7 & c_Groups_Ozero__class_Ozero(v3) = v6 & (v7 = v5 | v6 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (c_Polynomial_Odegree(v2, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v7 & c_Groups_Ozero__class_Ozero(v3) = v6 & (v6 = v4 | v6 = v1 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v2, v4, v0) = v5) | ~ (c_Divides_Odiv__class_Omod(v2, v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v3) = v4) | ~ class_Divides_Oring__div(v2) | ? [v6] : (c_Divides_Odiv__class_Omod(v2, v6, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_9_9, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v8, v1) = v5 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v1) = v6 & hAPP(v7, v0) = v8 & hAPP(all_0_9_9, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v7, v0) = v5 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v6 & hAPP(v3, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v7, v9) = v5 & hAPP(v8, v0) = v9 & hAPP(v6, v0) = v7 & hAPP(all_0_15_15, v2) = v6 & hAPP(all_0_15_15, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower_Opower(v3, v2, v1) = v4) | ~ (hAPP(v4, v0) = v5) | hAPP(v5, all_0_16_16) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oidom(v2) | ? [v6] : ? [v7] : ? [v8] : (hAPP(v7, all_0_11_11) = v8 & hAPP(v4, all_0_11_11) = v6 & hAPP(v3, v0) = v7 & ( ~ (v8 = v6) | v5 = v1 | v1 = v0) & (v8 = v6 | ( ~ (v5 = v1) & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ class_Groups_Omonoid__mult(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_13_13) = v7 & c_Groups_Otimes__class_Otimes(v2) = v6 & hAPP(v9, v0) = v5 & hAPP(v6, v8) = v9 & hAPP(v4, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v0, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v0, v5) | ? [v6] : ( ~ (v6 = v0) & c_Groups_Oone__class_Oone(v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Power_Opower(v2) | ~ class_Rings_Ozero__neq__one(v2) | ~ class_Rings_Ono__zero__divisors(v2) | ~ class_Rings_Omult__zero(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | (v5 = v1 & ~ (v0 = all_0_16_16))) & ( ~ (v6 = v1) | v5 = v1 | v0 = all_0_16_16))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Otimes__class_Otimes(v2) = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v9, v5) = v10 & hAPP(v8, v1) = v9 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v1, v7) | c_Orderings_Oord__class_Oless(v2, v10, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v2) = v6 & c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v8, v5) = v9 & hAPP(v7, v1) = v8 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v5, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring__1__no__zero__divisors(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | v5 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ class_Rings_Oidom(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v8 & hAPP(v5, all_0_11_11) = v7 & hAPP(v4, all_0_11_11) = v6 & ( ~ (v7 = v6) | v8 = v1 | v1 = v0) & (v7 = v6 | ( ~ (v8 = v1) & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Rings_Odivision__ring(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Otimes__class_Otimes(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v9 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v11, v4) = v12 & hAPP(v8, v9) = v10 & hAPP(v7, v10) = v11 & hAPP(v7, v3) = v8 & (v12 = v5 | v6 = v1 | v6 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Fields_Ofield(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Otimes__class_Otimes(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v11, v4) = v12 & hAPP(v9, v3) = v10 & hAPP(v7, v10) = v11 & hAPP(v7, v8) = v9 & (v12 = v5 | v6 = v1 | v6 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Odivision__ring(v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v1) = v7 & c_Groups_Ozero__class_Ozero(v1) = v6 & (v7 = v5 | v6 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Odivision__ring(v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v1) = v7 & c_Groups_Ozero__class_Ozero(v1) = v6 & (v7 = v5 | v6 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Fields_Ofield(v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v1) = v7 & c_Groups_Ozero__class_Ozero(v1) = v6 & (v7 = v5 | v6 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v3, v4, v0) = v5) | ~ (c_Polynomial_Opoly__gcd(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v6] : (c_Polynomial_Opoly__gcd(v3, v2, v6) = v5 & c_Polynomial_Opoly__gcd(v3, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v4) = v5) | ~ (c_Polynomial_Opoly__gcd(v3, v1, v0) = v4) | ~ class_Fields_Ofield(v3) | ? [v6] : (c_Polynomial_Opoly__gcd(v3, v6, v0) = v5 & c_Polynomial_Opoly__gcd(v3, v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v4) = v5) | ~ (c_Polynomial_Opoly__gcd(v3, v1, v0) = v4) | ~ class_Fields_Ofield(v3) | ? [v6] : (c_Polynomial_Opoly__gcd(v3, v2, v0) = v6 & c_Polynomial_Opoly__gcd(v3, v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v0) = v4) | ~ (c_Polynomial_Opoly__gcd(v3, v1, v4) = v5) | ~ class_Fields_Ofield(v3) | ? [v6] : (c_Polynomial_Opoly__gcd(v3, v2, v6) = v5 & c_Polynomial_Opoly__gcd(v3, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v2, v4, v0) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (c_Polynomial_Osmult(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Rings_Ocomm__ring(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v3, v0) = v6 & c_Polynomial_Osmult(v2, v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (c_Polynomial_Osmult(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Rings_Ocomm__ring(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Polynomial_Osmult(v2, v6, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (c_Polynomial_Omonom(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Polynomial_Omonom(v2, v6, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : ? [v7] : (c_Groups_Ouminus__class_Ouminus(v3, v0) = v7 & c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Polynomial_OpCons(v2, v6, v7) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v4) | ~ (c_Polynomial_Osmult(v2, v1, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Rings_Ocomm__ring(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v3, v6) = v5 & c_Polynomial_Osmult(v2, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v4) = v5) | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v6, v1) = v7 & c_Polynomial_Ocoeff(v2, v7) = v8 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v4) = v5) | ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__ring(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v6, v1) = v7 & c_Polynomial_Opoly(v2, v7) = v8 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Groups_Ogroup__add(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Polynomial_Opoly(v2, v0) = v3) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oidom(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Polynomial_OpCons(v2, v7, v8) = v9 & c_Polynomial_OpCons(v2, v1, v9) = v10 & tc_Polynomial_Opoly(v2) = v6 & c_Groups_Ozero__class_Ozero(v6) = v8 & c_Groups_Ozero__class_Ozero(v2) = v11 & ( ~ (v11 = v5) | c_Rings_Odvd__class_Odvd(v6, v10, v0)) & (v11 = v5 | ~ c_Rings_Odvd__class_Odvd(v6, v10, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (c_Polynomial_Ocoeff(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v1) = v6 & c_Groups_Ozero__class_Ozero(v1) = v7 & ( ~ (v0 = all_0_16_16) | v6 = v5) & (v7 = v5 | v0 = all_0_16_16))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (c_Polynomial_Opoly(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Groups_Oone__class_Oone(v1) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v3, v2) = v4) | ~ (c_Polynomial_Odegree(v3, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v3, v7) = v8 & c_Groups_Oplus__class_Oplus(v6, v2, v0) = v7 & tc_Polynomial_Opoly(v3) = v6 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v8, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v3, v2) = v4) | ~ (c_Polynomial_Odegree(v3, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v1) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v3, v7) = v8 & c_Groups_Oplus__class_Oplus(v6, v2, v0) = v7 & tc_Polynomial_Opoly(v3) = v6 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v2) | ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v6 & c_Polynomial_Odegree(v2, v0) = v7 & (v7 = v5 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v2) | ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v6 & c_Polynomial_Odegree(v2, v0) = v7 & (v7 = v5 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v4) = v5) | ~ class_Rings_Oidom(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Odegree(v2, v10) = v11 & c_Groups_Otimes__class_Otimes(v6) = v8 & tc_Polynomial_Opoly(v2) = v6 & c_Groups_Ozero__class_Ozero(v6) = v7 & hAPP(v9, v0) = v10 & hAPP(v8, v1) = v9 & (v11 = v5 | v7 = v1 | v7 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v4) = v5) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Polynomial_Odegree(v2, v9) = v10 & c_Groups_Otimes__class_Otimes(v6) = v7 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v9 & hAPP(v7, v1) = v8 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v10, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Power_Opower__class_Opower(v6) = v7 & c_Polynomial_Odegree(v2, v9) = v10 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v9 & hAPP(v7, v1) = v8 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v10, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v0) = v2) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Odvd(v3) | c_Rings_Odvd__class_Odvd(v3, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v6) | c_Orderings_Oord__class_Oless(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6) | c_Orderings_Oord__class_Oless__eq(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Olinordered__idom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v6] : (hAPP(v6, v0) = v5 & hAPP(v3, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v5) | ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v5) | ~ c_Orderings_Oord__class_Oless(v2, v6, v0) | c_Orderings_Oord__class_Oless(v2, v6, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v6, v0) | c_Orderings_Oord__class_Oless(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v6) | c_Orderings_Oord__class_Oless(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless(v2, v1, v6) | c_Orderings_Oord__class_Oless(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Odivision__ring(v2) | ? [v6] : ? [v7] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v7 & c_Groups_Oone__class_Oone(v2) = v6 & ( ~ (v6 = v5) | v7 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Lattices_Oab__semigroup__idem__mult(v2) | hAPP(v4, v5) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__ring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__ring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6) | c_Orderings_Oord__class_Oless__eq(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | c_Orderings_Oord__class_Oless__eq(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v8 & hAPP(v7, v8) = v5 & hAPP(v3, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__idom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v6, v0) | c_Orderings_Oord__class_Oless(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring__no__zero__divisors(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | v5 = v1 | v5 = v0) & (v6 = v5 | ( ~ (v6 = v1) & ~ (v6 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ono__zero__divisors(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | v5 = v1 | v5 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v6) | ~ c_Orderings_Oord__class_Oless(v2, v0, v6) | c_Orderings_Oord__class_Oless(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) & c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) | (c_Orderings_Oord__class_Oless__eq(v2, v1, v6) & c_Orderings_Oord__class_Oless__eq(v2, v0, v6))) & (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) & c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) | (c_Orderings_Oord__class_Oless__eq(v2, v6, v0) & c_Orderings_Oord__class_Oless__eq(v2, v1, v6))) & (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v6] : (hAPP(v6, v1) = v5 & hAPP(v3, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_OAbs__poly(v2, v4) = v5) | ~ (c_Nat_Onat_Onat__case(v2, v1, v3) = v4) | ~ (c_Polynomial_Ocoeff(v2, v0) = v3) | ~ class_Groups_Ozero(v2) | c_Polynomial_OpCons(v2, v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v4, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v6, v0) = v5 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v6, v1) = v5 & c_Groups_Oplus__class_Oplus(v3, v2, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Groups_Oab__semigroup__add(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v6, v0) = v5 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ class_Groups_Oab__semigroup__add(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v6, v0) = v5 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v0) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v0) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Polynomial_Osmult(v3, v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Oplus__class_Oplus(v6, v7, v8) = v5 & c_Polynomial_Osmult(v3, v2, v0) = v7 & c_Polynomial_Osmult(v3, v1, v0) = v8 & tc_Polynomial_Opoly(v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v4) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v5) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Polynomial_Omonom(v3, v4, v1) = v5) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Oplus__class_Oplus(v6, v7, v8) = v5 & c_Polynomial_Omonom(v3, v2, v1) = v7 & c_Polynomial_Omonom(v3, v0, v1) = v8 & tc_Polynomial_Opoly(v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v0, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v0, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, all_0_6_6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_6_6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v5) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_8_8, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v9) = v5 & hAPP(v8, v0) = v9 & hAPP(v6, v0) = v7 & hAPP(all_0_8_8, v2) = v6 & hAPP(all_0_8_8, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v5) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v6] : ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v9) = v5 & hAPP(v8, v0) = v9 & hAPP(v6, v0) = v7 & hAPP(all_0_15_15, v2) = v6 & hAPP(all_0_15_15, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_9_9, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (hAPP(v7, v8) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v8 & hAPP(all_0_8_8, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v6] : ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ class_Groups_Ozero(v1) | c_Groups_Ozero__class_Ozero(v1) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v3, v4) = v5) | ~ class_Groups_Ozero(v1) | hAPP(v2, v4) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v2, v4) = v5) | ~ class_Groups_Ozero(v1) | hAPP(v3, v4) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osmult(v3, v2, v4) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Otimes__class_Otimes(v3) = v6 & c_Polynomial_Osmult(v3, v8, v0) = v5 & hAPP(v7, v1) = v8 & hAPP(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osmult(v3, v2, v4) = v5) | ~ (c_Polynomial_Omonom(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Otimes__class_Otimes(v3) = v6 & c_Polynomial_Omonom(v3, v8, v0) = v5 & hAPP(v7, v1) = v8 & hAPP(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osmult(v3, v2, v4) = v5) | ~ (c_Polynomial_OpCons(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v3) = v6 & c_Polynomial_Osmult(v3, v2, v0) = v9 & c_Polynomial_OpCons(v3, v8, v9) = v5 & hAPP(v7, v1) = v8 & hAPP(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osynthetic__div(v3, v4, v0) = v5) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Osynthetic__div(v3, v1, v0) = v8 & c_Polynomial_Opoly(v3, v1) = v6 & c_Polynomial_OpCons(v3, v7, v8) = v5 & hAPP(v6, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v1) | c_Groups_Ozero__class_Ozero(v1) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opcompose(v3, v4, v0) = v5) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Otimes__class_Otimes(v6) = v9 & c_Groups_Oplus__class_Oplus(v6, v8, v12) = v5 & c_Polynomial_Opcompose(v3, v1, v0) = v11 & c_Polynomial_OpCons(v3, v2, v7) = v8 & tc_Polynomial_Opoly(v3) = v6 & c_Groups_Ozero__class_Ozero(v6) = v7 & hAPP(v10, v11) = v12 & hAPP(v9, v0) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Omonom(v2, v1, v0) = v4) | ~ (c_Polynomial_OpCons(v2, v3, v4) = v5) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ozero(v2) | ? [v6] : (c_Nat_OSuc(v0) = v6 & c_Polynomial_Omonom(v2, v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_HOL_Oequal__class_Oequal(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_HOL_Oequal(v1) | ~ class_Groups_Ozero(v1) | hBOOL(v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_HOL_Oequal__class_Oequal(v1) = v2) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_HOL_Oequal(v0) | ~ class_Groups_Ozero(v0) | hBOOL(v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v6, v8, v9) = v5 & c_Polynomial_Osmult(v3, v0, v7) = v8 & c_Polynomial_OpCons(v3, v2, v7) = v9 & tc_Polynomial_Opoly(v3) = v6 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v1, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_8_8, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_15_15, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_15_15, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_10_10, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_10_10, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Divides_Odiv__class_Omod(v2, v3, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Opoly__gcd(v1, v3, v0) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Fields_Ofield(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Opoly__gcd(v1, v0, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Fields_Ofield(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ocancel__semigroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v1) = v3) | ~ class_Groups_Ocancel__semigroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Osmult(v1, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Rings_Ocomm__semiring__0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Osynthetic__div(v1, v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Rings_Ocomm__semiring__0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Opcompose(v1, v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Rings_Ocomm__semiring__0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Omonom(v2, v0, v1) = v4) | ~ (c_Polynomial_Omonom(v2, v0, v1) = v3) | ~ class_Groups_Ozero(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_OpCons(v2, v1, v0) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_OpCons(v0, v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v0) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Groups_Ozero(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v1, v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (c_Groups_Ominus__class_Ominus(v2, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v0) = v4) | ~ class_Groups_Ogroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v5 & c_Polynomial_Odegree(v2, v0) = v6 & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | c_Groups_Ozero__class_Ozero(v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Lattices_Oab__semigroup__idem__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | hBOOL(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v4) | ~ class_Groups_Ocancel__semigroup__add(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (c_Polynomial_Omonom(v3, v2, v1) = v4) | ~ (c_Polynomial_Omonom(v3, v0, v1) = v4) | ~ class_Groups_Ozero(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = all_0_16_16 | v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Divides_Odiv__class_Omod(v4, v3, v2) = v1) | ~ (c_Divides_Odiv__class_Omod(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Power_Opower_Opower(v4, v3, v2) = v1) | ~ (c_Power_Opower_Opower(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Opoly__gcd(v4, v3, v2) = v1) | ~ (c_Polynomial_Opoly__gcd(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Nat_Onat_Onat__case(v4, v3, v2) = v1) | ~ (c_Nat_Onat_Onat__case(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Ocancel__ab__semigroup__add(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Ocancel__semigroup__add(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Oorder(v4, v3, v2) = v1) | ~ (c_Polynomial_Oorder(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & hAPP(v4, v5) = v7 & hAPP(v3, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Osmult(v4, v3, v2) = v1) | ~ (c_Polynomial_Osmult(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v1) | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Opcompose(v4, v3, v2) = v1) | ~ (c_Polynomial_Opcompose(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Omonom(v4, v3, v2) = v1) | ~ (c_Polynomial_Omonom(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v1) | ~ (c_Polynomial_OpCons(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v4, v3, v2) = v1) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_6_6 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ? [v5] : ? [v6] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_6_6 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_6_6 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_6_6 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) & ~ hBOOL(v9)) | (v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_16_16 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v0) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v3) = v4) | ~ class_Groups_Oab__group__add(v2) | c_Groups_Ominus__class_Ominus(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v0) = v4) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v0) = v4 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v2, v1) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ class_Divides_Oring__div(v3) | ? [v5] : ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v1) = v6 & c_Divides_Odiv__class_Omod(v3, v5, v1) = v6 & c_Groups_Ouminus__class_Ouminus(v3, v2) = v5 & c_Groups_Ouminus__class_Ouminus(v3, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v5] : (c_Divides_Odiv__class_Omod(v3, v1, v5) = v4 & c_Groups_Ouminus__class_Ouminus(v3, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v4) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v0) | c_Rings_Odvd__class_Odvd(v3, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v0) | c_Rings_Odvd__class_Odvd(v3, v2, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v5] : ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v4) = v6 & c_Polynomial_Odegree(v2, v1) = v7 & c_Groups_Ozero__class_Ozero(v3) = v5 & (v5 = v4 | v5 = v1 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v4) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | c_Rings_Odvd__class_Odvd(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v0) | c_Rings_Odvd__class_Odvd(v3, v2, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v2, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2) | c_Divides_Odiv__class_Omod(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v2, v3, v0) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Divides_Oring__div(v2) | ? [v5] : ? [v6] : (c_Divides_Odiv__class_Omod(v2, v6, v0) = v4 & c_Divides_Odiv__class_Omod(v2, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v2, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2) | c_Divides_Odiv__class_Omod(v2, v1, v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v3) | ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v5, v0) = v4 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v3) | ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ hBOOL(v4) | ? [v5] : ? [v6] : (hAPP(v2, v1) = v5 & hAPP(all_0_8_8, v0) = v6 & ( ~ (v0 = all_0_6_6) | hBOOL(v5)) & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v8) = v1) | ~ (hAPP(v6, v7) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v8) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v8, all_0_6_6) | ? [v10] : (hAPP(v2, v8) = v10 & hBOOL(v10)))) & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v8) = v1) | ~ (hAPP(v6, v7) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v8) | ? [v10] : (hAPP(v2, v8) = v10 & hBOOL(v10)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | hBOOL(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (hAPP(v2, v1) = v5 & hAPP(all_0_8_8, v0) = v6 & ((v10 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v8) = v1 & hAPP(v6, v7) = v9 & hAPP(v2, v8) = v11 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, v0) & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v8) & ~ hBOOL(v11)) | (v10 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v8) = v1 & hAPP(v6, v7) = v9 & hAPP(v2, v8) = v11 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v8) & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v8, all_0_6_6) & ~ hBOOL(v11)) | (v0 = all_0_6_6 & ~ hBOOL(v5))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v3, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ~ (c_Nat_OSuc(v2) = v3) | ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v5, v0) = v4 & c_Nat_OSuc(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ hBOOL(v4) | ? [v5] : ? [v6] : (hAPP(v2, v1) = v5 & hAPP(all_0_15_15, v0) = v6 & ( ~ (v0 = all_0_16_16) | hBOOL(v5)) & (v0 = all_0_16_16 | ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v9, v8) = v1) | ~ (hAPP(v6, v7) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v8, v0) | ? [v10] : (hAPP(v2, v8) = v10 & hBOOL(v10)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | hBOOL(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (hAPP(v2, v1) = v5 & hAPP(all_0_15_15, v0) = v6 & ((v10 = v1 & ~ (v0 = all_0_16_16) & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v9, v8) = v1 & hAPP(v6, v7) = v9 & hAPP(v2, v8) = v11 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v8, v0) & ~ hBOOL(v11)) | (v0 = all_0_16_16 & ~ hBOOL(v5))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~ (hAPP(v3, all_0_16_16) = v4) | ~ (hAPP(v1, v2) = v3) | ~ class_Power_Opower(v0) | ~ class_Rings_Osemiring__0(v0) | c_Groups_Oone__class_Oone(v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v3, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v5, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v3, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v0, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v5, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v0, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | c_Orderings_Oord__class_Oless(v2, v0, v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v5, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | c_Orderings_Oord__class_Oless(v2, v0, v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v0, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v5, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v0, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Orderings_Oord(v3) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly__gcd(v1, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Fields_Ofield(v1) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Rings_Oinverse__class_Oinverse(v1, v7) = v8 & c_Polynomial_Odegree(v1, v0) = v6 & c_Polynomial_Ocoeff(v1, v0) = v5 & c_Polynomial_Osmult(v1, v8, v0) = v4 & hAPP(v5, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v5 & c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v6 & c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(v2, v1, v3) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v0, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Lattices_Oboolean__algebra(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v3) | c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless__eq(v2, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v0) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v4, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Lattices_Oboolean__algebra(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Lattices_Oboolean__algebra(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | c_Orderings_Oord__class_Oless__eq(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v0) | c_Orderings_Oord__class_Oless__eq(v2, v4, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Polynomial_Osmult(v2, v3, v0) = v4) | ~ class_Rings_Ocomm__ring(v2) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v5, v6) = v4 & c_Polynomial_Osmult(v2, v1, v0) = v6 & tc_Polynomial_Opoly(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Polynomial_Omonom(v2, v3, v0) = v4) | ~ class_Groups_Oab__group__add(v2) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v5, v6) = v4 & c_Polynomial_Omonom(v2, v1, v0) = v6 & tc_Polynomial_Opoly(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Polynomial_Odegree(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Groups_Oab__group__add(v1) | c_Polynomial_Odegree(v1, v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v3) = v4) | ~ class_Groups_Ogroup__add(v2) | c_Groups_Ominus__class_Ominus(v2, v1, v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v3) = v4) | ~ class_Groups_Oab__group__add(v2) | c_Groups_Ominus__class_Ominus(v2, v1, v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v3) = v4) | ~ class_Rings_Ocomm__ring__1(v2) | c_Groups_Ominus__class_Ominus(v2, v1, v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_8_8, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oone__class_Oone(v0) = v2) | ~ (c_Polynomial_OpCons(v0, v2, v3) = v4) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ class_Rings_Ocomm__semiring__1(v0) | c_Groups_Oone__class_Oone(v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Osmult(v2, v1, v0) = v3) | ~ class_Rings_Oidom(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v0) = v6 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ (v5 = v1) | v4 = all_0_16_16) & (v6 = v4 | v5 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Osmult(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v5] : (c_Polynomial_Odegree(v2, v0) = v5 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Opcompose(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v1) = v5 & c_Polynomial_Odegree(v2, v0) = v7 & hAPP(v6, v7) = v8 & hAPP(all_0_15_15, v5) = v6 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v0) = v5 & c_Nat_OSuc(v5) = v6 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v0, v1) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v1) = v7 & c_Nat_OSuc(v7) = v8 & tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & ( ~ (v6 = v1) | v4 = all_0_16_16) & (v8 = v4 | v6 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v0, v1) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v1) = v7 & c_Nat_OSuc(v7) = v8 & tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & (v8 = v4 | v6 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ class_Fields_Ofield(v2) | ? [v5] : (c_Divides_Odiv__class_Omod(v5, v1, v0) = v1 & tc_Polynomial_Opoly(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ class_Groups_Ocomm__monoid__add(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v6) = v4 & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v6 & tc_Polynomial_Opoly(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ class_Groups_Ocomm__monoid__add(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v6) = v4 & c_Groups_Oplus__class_Oplus(v5, v0, v1) = v6 & tc_Polynomial_Opoly(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ class_Rings_Oidom(v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) | ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & (v6 = v0 | ~ c_Rings_Odvd__class_Odvd(v5, v1, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Olinordered__idom(v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & ( ~ c_Polynomial_Opos__poly(v1, v0) | c_Orderings_Oord__class_Oless(v1, v5, v4)) & ( ~ c_Orderings_Oord__class_Oless(v1, v5, v4) | c_Polynomial_Opos__poly(v1, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Ozero(v1) | ? [v5] : ? [v6] : ? [v7] : (tc_Polynomial_Opoly(v1) = v6 & c_Groups_Ozero__class_Ozero(v6) = v7 & c_Groups_Ozero__class_Ozero(v1) = v5 & ( ~ (v7 = v0) | v5 = v4) & ( ~ (v5 = v4) | v7 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Ozero(v1) | ? [v5] : ? [v6] : ? [v7] : (tc_Polynomial_Opoly(v1) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & c_Groups_Ozero__class_Ozero(v1) = v7 & ( ~ (v7 = v4) | v6 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__ring(v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & c_Orderings_Oord__class_Oless__eq(v1, v5, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__ring(v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & ~ c_Orderings_Oord__class_Oless(v1, v4, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v1, v5) = v6 & c_Groups_Oone__class_Oone(v1) = v5 & ( ~ (v5 = v4) | v6 = v0 | v4 = v0) & (v5 = v4 | ( ~ (v6 = v0) & ~ (v5 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_Onat_Onat__case(v2, v1, v3) = v4) | ~ (c_Polynomial_Ocoeff(v2, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : (c_Polynomial_Ocoeff(v2, v5) = v4 & c_Polynomial_OpCons(v2, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Groups_Oordered__comm__monoid__add(v3) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Oordered__comm__monoid__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Oordered__comm__monoid__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ c_Polynomial_Opos__poly(v2, v1) | ~ c_Polynomial_Opos__poly(v2, v0) | ~ class_Rings_Olinordered__idom(v2) | c_Polynomial_Opos__poly(v2, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v0) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v0, v2) = v4) | ~ class_Groups_Oordered__comm__monoid__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v0) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v5 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v3) = v4) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_5_5, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_5_5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v0) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ? [v5] : (c_Nat_OSuc(v0) = v5 & hAPP(v2, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ? [v5] : ? [v6] : (c_Nat_OSuc(v1) = v5 & hAPP(v6, v0) = v4 & hAPP(all_0_15_15, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | hAPP(v4, all_0_16_16) = v1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : (c_Nat_Onat_Onat__case(v2, v1, v5) = v4 & c_Polynomial_Ocoeff(v2, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v1) = v5 & tc_Polynomial_Opoly(v2) = v7 & c_Groups_Ozero__class_Ozero(v7) = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v4) | v8 = v1 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v6 & c_Groups_Ozero__class_Ozero(v2) = v5 & (v5 = v4 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & (v6 = v4 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ (c_Polynomial_OpCons(v3, v0, v1) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & c_Groups_Ozero__class_Ozero(v5) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Oidom(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v7 & c_Groups_Oone__class_Oone(v2) = v8 & c_Polynomial_OpCons(v2, v8, v9) = v10 & c_Polynomial_OpCons(v2, v7, v10) = v11 & tc_Polynomial_Opoly(v2) = v6 & c_Groups_Ozero__class_Ozero(v6) = v9 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ (v5 = v4) | c_Rings_Odvd__class_Odvd(v6, v11, v1)) & (v5 = v4 | ~ c_Rings_Odvd__class_Odvd(v6, v11, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Oidom(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Oorder(v2, v0, v1) = v8 & tc_Polynomial_Opoly(v2) = v6 & c_Groups_Ozero__class_Ozero(v6) = v7 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ (v8 = all_0_16_16) | ~ (v5 = v4) | v7 = v1) & (v5 = v4 | (v8 = all_0_16_16 & ~ (v7 = v1))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_15_15, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v0) = v3) | ~ (c_Polynomial_Omonom(v2, v1, v3) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Polynomial_Omonom(v2, v1, v0) = v6 & c_Polynomial_OpCons(v2, v5, v6) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_15_15, v1) = v2) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v5) = v4 & hAPP(v2, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_HOL_Oequal__class_Oequal(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_HOL_Oequal(v1) | hBOOL(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_OpCons(v1, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ozero(v1) | c_Polynomial_Omonom(v1, v0, all_0_16_16) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ hBOOL(v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ? [v5] : ? [v6] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ hBOOL(v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ hBOOL(v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ hBOOL(v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) & ~ hBOOL(v9)) | (v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v4) | ~ hBOOL(v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v0) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & ( ~ c_Rings_Odvd__class_Odvd(v5, v0, v4) | (c_Rings_Odvd__class_Odvd(v5, v0, v2) & c_Rings_Odvd__class_Odvd(v5, v0, v1))) & ( ~ c_Rings_Odvd__class_Odvd(v5, v0, v2) | ~ c_Rings_Odvd__class_Odvd(v5, v0, v1) | c_Rings_Odvd__class_Odvd(v5, v0, v4)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & ( ~ c_Rings_Odvd__class_Odvd(v5, v0, v2) | ~ c_Rings_Odvd__class_Odvd(v5, v0, v1) | c_Rings_Odvd__class_Odvd(v5, v0, v4)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Osemiring__0(v2) | ~ class_Rings_Odvd(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ( ! [v12] : ! [v13] : ! [v14] : ( ~ (hAPP(v4, v12) = v13) | ~ (hAPP(v0, v13) = v14) | ~ hBOOL(v14)) | (c_Groups_Oplus__class_Oplus(v2, v9, v5) = v10 & hAPP(v0, v9) = v11 & c_Rings_Odvd__class_Odvd(v2, v1, v10) & hBOOL(v11))) & ((hAPP(v4, v6) = v7 & hAPP(v0, v7) = v8 & hBOOL(v8)) | ( ! [v12] : ! [v13] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v12, v5) = v13) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v13) | ? [v14] : (hAPP(v0, v12) = v14 & ~ hBOOL(v14))) & ! [v12] : ! [v13] : ( ~ (hAPP(v0, v12) = v13) | ~ hBOOL(v13) | ? [v14] : (c_Groups_Oplus__class_Oplus(v2, v12, v5) = v14 & ~ c_Rings_Odvd__class_Odvd(v2, v1, v14))))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : ? [v6] : ? [v7] : (tc_Polynomial_Opoly(v3) = v5 & c_Groups_Ozero__class_Ozero(v5) = v7 & c_Groups_Ozero__class_Ozero(v3) = v6 & ( ~ c_Rings_Odvd__class_Odvd(v5, v4, v0) | (( ~ (v6 = v2) | v7 = v0) & (v6 = v2 | c_Rings_Odvd__class_Odvd(v5, v1, v0)))) & (c_Rings_Odvd__class_Odvd(v5, v4, v0) | (v6 = v2 & ~ (v7 = v0)) | ( ~ (v6 = v2) & ~ c_Rings_Odvd__class_Odvd(v5, v1, v0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v3) = v6 & c_Groups_Ozero__class_Ozero(v3) = v5 & (v5 = v2 | (( ~ c_Rings_Odvd__class_Odvd(v6, v0, v4) | c_Rings_Odvd__class_Odvd(v6, v0, v1)) & ( ~ c_Rings_Odvd__class_Odvd(v6, v0, v1) | c_Rings_Odvd__class_Odvd(v6, v0, v4)))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v3) = v5 & c_Groups_Ozero__class_Ozero(v3) = v6 & (v6 = v2 | ~ c_Rings_Odvd__class_Odvd(v5, v0, v4) | c_Rings_Odvd__class_Odvd(v5, v0, v1)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & ( ~ c_Rings_Odvd__class_Odvd(v5, v4, v0) | c_Rings_Odvd__class_Odvd(v5, v1, v0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v1, v2) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v3) = v5 & c_Groups_Ozero__class_Ozero(v3) = v6 & (v6 = v1 | ~ c_Rings_Odvd__class_Odvd(v5, v2, v0) | c_Rings_Odvd__class_Odvd(v5, v4, v0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v1, v2) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & ( ~ c_Rings_Odvd__class_Odvd(v5, v0, v2) | c_Rings_Odvd__class_Odvd(v5, v0, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Divides_Odiv__class_Omod(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Divides_Osemiring__div(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Polynomial_Opoly__gcd(v0, v2, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Fields_Ofield(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Oab__group__add(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Lattices_Oboolean__algebra(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Polynomial_Ocoeff(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ class_Groups_Ozero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Polynomial_Opoly(v1, v0) = v3) | ~ (c_Polynomial_Opoly(v1, v0) = v2) | ~ class_Int_Oring__char__0(v1) | ~ class_Rings_Oidom(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (hAPP(all_0_14_14, v1) = v2) | ~ (hAPP(all_0_14_14, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v0) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Ogroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ogroup__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Divides_Odiv__class_Omod(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Divides_Osemiring__div(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring(v1) | c_Groups_Ozero__class_Ozero(v1) = v0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v1) | ~ class_Groups_Ogroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Lattices_Oboolean__algebra(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ (c_Polynomial_Osmult(v1, v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Polynomial_OAbs__poly(v1, v2) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ class_Groups_Ozero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Omonoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ocomm__monoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Omonoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ocomm__monoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ? [v4] : ( ~ (v4 = all_0_6_6) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ? [v4] : ( ~ (v4 = all_0_6_6) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_16_16 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_16_16 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : ? [v5] : ( ~ (v5 = v0) & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_16_16 | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ (c_Polynomial_Odegree(v0, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_16_16 | ~ (c_Polynomial_Odegree(v0, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ozero(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_SMT_Oz3mod(v3, v2) = v1) | ~ (c_SMT_Oz3mod(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~ (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & (v4 = v1 | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Rings_Odivision__ring__inverse__zero(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Lattices_Oboolean__algebra(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Ogroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Nat_Osize__class_Osize(v3, v2) = v1) | ~ (c_Nat_Osize__class_Osize(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Odegree(v3, v2) = v1) | ~ (c_Polynomial_Odegree(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_OAbs__poly(v3, v2) = v1) | ~ (c_Polynomial_OAbs__poly(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v3, v2) = v1) | ~ (c_Polynomial_Ocoeff(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v3) | ~ class_Groups_Ozero(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (c_Polynomial_Opoly(v2, v0) = v3) | ~ class_Int_Oring__char__0(v2) | ~ class_Rings_Oidom(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(c_fequal, v1) = v2) | ~ hBOOL(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_13_13 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_13_13 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_16_16 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_10_10, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | c_Orderings_Oord__class_Oless(v2, v1, v0)) & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4 & c_Groups_Oplus__class_Oplus(v2, v1, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v3) | v1 = v0) & ( ~ (v1 = v0) | v4 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v4] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4 & c_Groups_Oplus__class_Oplus(v2, v1, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v3) | v1 = v0) & ( ~ (v1 = v0) | v4 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ? [v4] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4 & c_Groups_Oplus__class_Oplus(v2, v1, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v4] : (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v4 & c_Groups_Ouminus__class_Ouminus(v2, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v4 & c_Nat_OSuc(v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v0) = v3) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v3 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2) | c_Divides_Odiv__class_Omod(v2, v3, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2) | ? [v4] : (c_Divides_Odiv__class_Omod(v2, v4, v0) = v3 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v0, v1) = v3) | ~ class_Divides_Osemiring__div(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | c_Groups_Ozero__class_Ozero(v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v0, v1) = v3) | ~ class_Divides_Osemiring__div(v2) | ? [v4] : (c_Divides_Odiv__class_Omod(v2, v4, v1) = v3 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v0, v1) = v3) | ~ class_Divides_Osemiring__div(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v3) | c_Rings_Odvd__class_Odvd(v2, v1, v0)) & (v4 = v3 | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v1, v0, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Divides_Osemiring__div(v1) | c_Groups_Ozero__class_Ozero(v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v5, v0) = v3 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v4) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v3) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v4, v0) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v5) = v3 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | c_SMT_Oz3mod(v0, v1) = v3 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v5, v0) = v3 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v5 & (v5 = v3 | v5 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower_Opower(v0, v1, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ (c_Groups_Otimes__class_Otimes(v0) = v2) | ~ class_Power_Opower(v0) | c_Power_Opower__class_Opower(v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Power_Opower(v1) | ? [v4] : (c_Groups_Oone__class_Oone(v1) = v4 & hAPP(v3, all_0_16_16) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3, all_0_13_13) = v0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1) | hAPP(v3, all_0_13_13) = v0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v4] : (c_Groups_Oone__class_Oone(v1) = v4 & hAPP(v3, all_0_16_16) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Odivision__ring(v1) | ? [v4] : ? [v5] : ? [v6] : (c_Rings_Oinverse__class_Oinverse(v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v1, v5) = v6 & c_Groups_Ozero__class_Ozero(v1) = v4 & (v6 = v3 | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1) | ? [v4] : (c_Rings_Oinverse__class_Oinverse(v1, v0) = v4 & c_Groups_Ouminus__class_Ouminus(v1, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ class_Rings_Odivision__ring(v1) | ? [v4] : ? [v5] : ? [v6] : (c_Rings_Oinverse__class_Oinverse(v1, v5) = v6 & c_Groups_Ouminus__class_Ouminus(v1, v0) = v5 & c_Groups_Ozero__class_Ozero(v1) = v4 & (v6 = v3 | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ class_Rings_Odivision__ring__inverse__zero(v1) | ? [v4] : (c_Rings_Oinverse__class_Oinverse(v1, v4) = v3 & c_Groups_Ouminus__class_Ouminus(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : (c_Polynomial_Opoly__gcd(v2, v5, v0) = v3 & c_Groups_Ouminus__class_Ouminus(v4, v1) = v5 & tc_Polynomial_Opoly(v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : (c_Polynomial_Opoly__gcd(v2, v1, v5) = v3 & c_Groups_Ouminus__class_Ouminus(v4, v0) = v5 & tc_Polynomial_Opoly(v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & ( ~ (v5 = v3) | (v3 = v0 & v1 = v0)) & ( ~ (v5 = v0) | ~ (v1 = v0) | v3 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : (tc_Polynomial_Opoly(v2) = v4 & c_Rings_Odvd__class_Odvd(v4, v3, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : (tc_Polynomial_Opoly(v2) = v4 & c_Rings_Odvd__class_Odvd(v4, v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v0, v1) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v0, v1) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Divides_Odiv__class_Omod(v4, v0, v1) = v11 & c_Rings_Oinverse__class_Oinverse(v2, v8) = v9 & c_Polynomial_Opoly__gcd(v2, v1, v11) = v12 & c_Polynomial_Odegree(v2, v0) = v7 & c_Polynomial_Ocoeff(v2, v0) = v6 & c_Polynomial_Osmult(v2, v9, v0) = v10 & tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & hAPP(v6, v7) = v8 & ( ~ (v5 = v1) | v10 = v3) & (v12 = v3 | v5 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v0, v1) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v4, v0, v1) = v6 & c_Polynomial_Opoly__gcd(v2, v1, v6) = v7 & tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & (v7 = v3 | v5 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ c_Rings_Odvd__class_Odvd(v2, v3, v0) | ~ class_Rings_Ocomm__ring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | ~ class_Rings_Ocomm__ring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Rings_Olinordered__idom(v1) | c_Groups_Ozero__class_Ozero(v2) = v0 | c_Polynomial_Opos__poly(v1, v3) | c_Polynomial_Opos__poly(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v3) | ~ class_Rings_Ocomm__ring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | ~ class_Rings_Ocomm__ring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Groups_Oab__group__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Rings_Olinordered__semidom(v1) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Odegree(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v5) & c_Polynomial_Ocoeff(v2, v0) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & hAPP(v4, v6) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_Onat_Onat__case(v2, v1, v0) = v3) | hAPP(v3, all_0_16_16) = v1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | c_Orderings_Oord__class_Oless(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | c_Orderings_Oord__class_Oless(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | c_Orderings_Oord__class_Oless(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | c_Orderings_Oord__class_Oless__eq(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | (( ~ (v4 = v3) | (v3 = v0 & v1 = v0)) & ( ~ (v4 = v0) | ~ (v1 = v0) | v3 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v5 = v0) | v4 = v3) & ( ~ (v4 = v3) | v5 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v3) | v5 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ (v5 = v3) | v4 = v1) & ( ~ (v4 = v1) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : (c_Groups_Ominus__class_Ominus(v2, v1, v4) = v3 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Groups_Oplus__class_Oplus(v2, v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v0) | v3 = v1) & ( ~ (v3 = v1) | v4 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v0, v1) = v3) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v4) = v3 & c_Nat_OSuc(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Nat_OSuc(v0) = v2) | ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v3 & c_Nat_OSuc(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Nat_OSuc(v0) = v2) | ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Oorder(v2, v0, v1) = v3) | ~ class_Rings_Oidom(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Opoly(v2, v1) = v4 & tc_Polynomial_Opoly(v2) = v7 & c_Groups_Ozero__class_Ozero(v7) = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v4, v0) = v5 & ( ~ (v6 = v5) | ~ (v3 = all_0_16_16) | v8 = v1) & (v6 = v5 | (v3 = all_0_16_16 & ~ (v8 = v1))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Oorder(v2, v0, v1) = v3) | ~ class_Rings_Oidom(v2) | ? [v4] : ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v6 & tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & (v5 = v1 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Osmult(v2, v1, v0) = v3) | ~ class_Rings_Oidom(v2) | ? [v4] : ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v5 = v3) | v6 = v1 | v3 = v0) & (v5 = v3 | ( ~ (v6 = v1) & ~ (v5 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Osmult(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__0(v1) | ? [v4] : (tc_Polynomial_Opoly(v1) = v4 & c_Groups_Ozero__class_Ozero(v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Osynthetic__div(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v4] : ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v6 & tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & ( ~ (v6 = all_0_16_16) | v5 = v3) & ( ~ (v5 = v3) | v6 = all_0_16_16))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v3) = v1) | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v1) | v5 = v3) & ( ~ (v5 = v3) | v6 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Omonom(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ozero(v1) | ? [v4] : (tc_Polynomial_Opoly(v1) = v4 & c_Groups_Ozero__class_Ozero(v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Rings_Olinordered__idom(v2) | ? [v4] : ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Polynomial_Opos__poly(v2, v3) | c_Polynomial_Opos__poly(v2, v0) | (v5 = v0 & c_Orderings_Oord__class_Oless(v2, v6, v1))) & (c_Polynomial_Opos__poly(v2, v3) | ( ~ c_Polynomial_Opos__poly(v2, v0) & ( ~ (v5 = v0) | ~ c_Orderings_Oord__class_Oless(v2, v6, v1)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v1) | ~ (v5 = v0) | v3 = v0) & ( ~ (v5 = v3) | (v6 = v1 & v3 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : (c_Polynomial_OAbs__poly(v2, v5) = v3 & c_Nat_Onat_Onat__case(v2, v1, v4) = v5 & c_Polynomial_Ocoeff(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_8_8, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_15_15, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_8_8, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_8_8, v1) = v2) | ? [v4] : ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v3) = v6 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_8_8, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_8_8, v1) = v2) | ? [v4] : (hAPP(v4, v1) = v3 & hAPP(all_0_8_8, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_9_9, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_10_10, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_10_10, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ? [v4] : (hAPP(v4, v1) = v3 & hAPP(all_0_15_15, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v1, v2) = v3) | ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_15_15, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_8_8, all_0_6_6) = v3) | hBOOL(v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, all_0_6_6) = v4 & hAPP(v1, v4) = v5 & ~ hBOOL(v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(all_0_14_14, v1) = v2) | ~ (hAPP(all_0_14_14, v0) = v3) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Orderings_Opreorder(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ class_Orderings_Oorder(v3) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v3, v1, v0) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless__eq(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0)) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | ? [v5] : ? [v6] : ? [v7] : (hAPP(v1, v5) = v6 & hAPP(v0, v5) = v7 & ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ class_Groups_Ozero(v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v5) & c_Polynomial_Ocoeff(v2, v1) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & hAPP(v4, v6) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v6))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v4] : ( ~ (v4 = v0) & c_Nat_OSuc(v3) = v4)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v0) | ( ~ (v7 = v4) & hAPP(v3, v6) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v6))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) | ( ~ (v7 = v5) & hAPP(v3, v6) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v6))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_6_6)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Rings_Oinverse__class_Oinverse(v0, v1) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Odivision__ring(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Rings_Oinverse__class_Oinverse(v0, v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Fields_Ofield__inverse__zero(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Rings_Oinverse__class_Oinverse(v0, v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Odivision__ring__inverse__zero(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Groups_Ouminus__class_Ouminus(v0, v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Groups_Ogroup__add(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Nat_OSuc(v0) = v2) | ~ (c_Nat_OSuc(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ c_Rings_Odvd__class_Odvd(v1, v2, v0) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ? [v3] : (hAPP(all_0_8_8, v0) = v3 & ! [v4] : ~ (hAPP(v3, v4) = v1))) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_6_6 | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_13_13 | ~ (hAPP(v1, all_0_16_16) = v2) | ~ (hAPP(all_0_10_10, v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_16_16 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_16_16 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : (hAPP(all_0_15_15, v0) = v3 & ! [v4] : ~ (hAPP(v3, v4) = v1))) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_16_16 | ~ (hAPP(v1, all_0_16_16) = v2) | ~ (hAPP(all_0_15_15, v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_HOL_Obool_Obool__size(v2) = v1) | ~ (c_HOL_Obool_Obool__size(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v1) | ~ (c_Power_Opower__class_Opower(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~ (c_Groups_Oone__class_Oone(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_Onat_Onat__size(v2) = v1) | ~ (c_Nat_Onat_Onat__size(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v2) = v1) | ~ (c_Groups_Otimes__class_Otimes(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_HOL_Oequal__class_Oequal(v2) = v1) | ~ (c_HOL_Oequal__class_Oequal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tc_Polynomial_Opoly(v2) = v1) | ~ (tc_Polynomial_Opoly(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ (c_Groups_Ozero__class_Ozero(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | c_Orderings_Oord__class_Oless(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_5_5 | ~ (hAPP(v2, v0) = all_0_5_5) | ~ (hAPP(all_0_8_8, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_13_13 | v0 = all_0_16_16 | ~ (hAPP(v2, v0) = all_0_13_13) | ~ (hAPP(all_0_10_10, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_13_13 | ~ (hAPP(v2, v0) = all_0_13_13) | ~ (hAPP(all_0_15_15, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | v0 = all_0_13_13 | ~ (hAPP(v2, v0) = v1) | ~ (hAPP(all_0_15_15, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | v0 = all_0_16_16 | ~ (hAPP(v2, v0) = all_0_16_16) | ~ (hAPP(all_0_15_15, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | ? [v3] : (c_Nat_OSuc(v3) = v1 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0))) & ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_5_5 | ~ (hAPP(v2, v0) = all_0_5_5) | ~ (hAPP(all_0_8_8, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1)) & ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_13_13 | ~ (hAPP(v2, v0) = all_0_13_13) | ~ (hAPP(all_0_15_15, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v0, v0) = v2) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : (c_Nat_OSuc(v1) = v3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v3] : ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4 & c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_SMT_Oz3mod(v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_SMT_Oz3mod(v0, v1) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ? [v3] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v2 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(v1, v0, v0) = v2) | ~ class_Divides_Osemiring__div(v1) | c_Groups_Ozero__class_Ozero(v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | ? [v3] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3 & (v3 = v2 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, all_0_6_6)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v4) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_0_6_6) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, all_0_6_6)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_SMT_Oz3mod(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v3] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v3, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v0) = v5 & c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v1) = v4 & ( ~ (v3 = v0) | v5 = all_0_16_16))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v0) = v5 & c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v1) = v4 & (v5 = v3 | v3 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v3] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v3 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v3, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Ofield__inverse__zero(v1) | ? [v3] : (c_Groups_Oone__class_Oone(v1) = v3 & ( ~ (v3 = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v4 & c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | ~ c_Orderings_Oord__class_Oless(v1, v0, v4) | c_Orderings_Oord__class_Oless(v1, v4, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v4 & c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v4) | c_Orderings_Oord__class_Oless__eq(v1, v4, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & (v3 = v0 | ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | c_Orderings_Oord__class_Oless(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & (v3 = v0 | ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v0, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v3, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v2, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v0) | ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v3, v2)) & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | (c_Orderings_Oord__class_Oless(v1, v4, v0) & c_Orderings_Oord__class_Oless(v1, v0, v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2) | (c_Orderings_Oord__class_Oless(v1, v4, v0) & c_Orderings_Oord__class_Oless__eq(v1, v0, v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v4)) & (c_Orderings_Oord__class_Oless(v1, v2, v3) | ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) & ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v4))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v4)) & (c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) & ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v4))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | c_Orderings_Oord__class_Oless(v1, v3, v0)) & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v3, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v2, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v2, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v2) | v2 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v1, v0) = v2) | ~ class_Enum_Oenum(v1) | ~ class_Enum_Oenum(v0) | class_Enum_Oenum(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v1, v0) = v2) | ~ class_Enum_Oenum(v1) | ~ class_HOL_Oequal(v0) | class_HOL_Oequal(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Groups_Ouminus(v1) | class_Groups_Ouminus(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oorder(v1) | class_Orderings_Oorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oord(v1) | class_Orderings_Oord(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Lattices_Oboolean__algebra(v1) | class_Lattices_Oboolean__algebra(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Opreorder(v1) | class_Orderings_Opreorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v0, v2)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v2) | c_Orderings_Oord__class_Oless(v1, v0, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Oordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v3, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Oordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v2, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Oordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2) | c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Oordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v2, v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1) | ? [v3] : (c_Groups_Ominus__class_Ominus(v1, v3, v0) = v2 & c_Groups_Ozero__class_Ozero(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Ocomm__ring__1(v1) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v1, v4) = v5 & c_Groups_Oone__class_Oone(v1) = v4 & c_Groups_Otimes__class_Otimes(v1) = v3 & hAPP(v6, v0) = v2 & hAPP(v3, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v0) | v2 = v0) & ( ~ (v2 = v0) | v3 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v2, v0)) & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v0) | c_Orderings_Oord__class_Oless(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v2, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v0) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v0, v2)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v2) | c_Orderings_Oord__class_Oless__eq(v1, v0, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v2) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(v0, v1, v1) = v2) | ~ class_Rings_Olinordered__semidom(v0) | ? [v3] : (c_Groups_Ozero__class_Ozero(v0) = v3 & c_Orderings_Oord__class_Oless(v0, v3, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Polynomial_Odegree(v1, v0) = v2) | ~ class_Groups_Oab__group__add(v1) | ? [v3] : ? [v4] : (c_Groups_Ouminus__class_Ouminus(v3, v0) = v4 & c_Polynomial_Odegree(v1, v4) = v2 & tc_Polynomial_Opoly(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v2, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (c_Groups_Oone__class_Oone(v1) = v4 & c_Groups_Otimes__class_Otimes(v1) = v3 & c_Groups_Oplus__class_Oplus(v1, v4, v4) = v5 & hAPP(v6, v0) = v2 & hAPP(v3, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | c_Orderings_Oord__class_Oless(v1, v3, v0)) & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v3, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v2, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v2, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_5_5, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_5_5, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_0_6_6)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, all_0_6_6) | c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v3 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v4 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v5 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v5) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4 & c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4 & c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : (c_Nat_OSuc(v2) = v3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ? [v3] : (c_Nat_OSuc(v2) = v3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Polynomial_Opoly(v1, v0) = v2) | ~ class_Int_Oring__char__0(v1) | ~ class_Rings_Oidom(v1) | ? [v3] : ? [v4] : ? [v5] : (c_Polynomial_Opoly(v1, v4) = v5 & tc_Polynomial_Opoly(v1) = v3 & c_Groups_Ozero__class_Ozero(v3) = v4 & ( ~ (v5 = v2) | v4 = v0) & ( ~ (v4 = v0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Polynomial_Omonom(v1, v0, all_0_16_16) = v2) | ~ class_Groups_Ozero(v1) | ? [v3] : ? [v4] : (c_Polynomial_OpCons(v1, v0, v4) = v2 & tc_Polynomial_Opoly(v1) = v3 & c_Groups_Ozero__class_Ozero(v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_15_15, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(c_fequal, v0) = v1) | hBOOL(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ hBOOL(v2) | ? [v3] : ? [v4] : ? [v5] : ((c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_0_13_13) = v4 & hAPP(v1, v4) = v5 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) & hBOOL(v5) & ! [v6] : ! [v7] : ( ~ (hAPP(v1, v6) = v7) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v6, v3) | ~ hBOOL(v7))) | (hAPP(v1, all_0_16_16) = v3 & hBOOL(v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ hBOOL(v2) | ? [v3] : ? [v4] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, all_0_16_16) = v3 & hAPP(v1, v3) = v4 & hBOOL(v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | hBOOL(v2) | ? [v3] : ? [v4] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, all_0_16_16) = v3 & hAPP(v1, v3) = v4 & ~ hBOOL(v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_13_13) = v2) | ~ (hAPP(all_0_15_15, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_16_16) = v2) | ~ (hAPP(all_0_10_10, v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Oorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Olinorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Opreorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Oorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Opreorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0)) & ? [v0] : ? [v1] : ? [v2] : ! [v3] : ! [v4] : ( ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : (c_Groups_Ozero__class_Ozero(v4) = v5 & ( ~ (v5 = v1) | ~ (v2 = v0) | c_Polynomial_Opdivmod__rel(v3, v0, v1, v1, v0)) & ( ~ c_Polynomial_Opdivmod__rel(v3, v2, v5, v1, v0) | (v5 = v1 & v2 = v0)))) & ? [v0] : ? [v1] : ? [v2] : ! [v3] : ! [v4] : ( ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : (c_Groups_Ozero__class_Ozero(v4) = v5 & ( ~ (v5 = v0) | ~ (v1 = v0) | c_Polynomial_Opdivmod__rel(v3, v0, v2, v0, v0)) & ( ~ c_Polynomial_Opdivmod__rel(v3, v5, v2, v1, v0) | (v5 = v0 & v1 = v0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Groups_Otimes__class_Otimes(v2) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & hAPP(v7, v1) = v8 & hAPP(v5, v6) = v7 & c_Orderings_Oord__class_Oless(v2, v6, v3) & c_Orderings_Oord__class_Oless(v2, v4, v6) & ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v0))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Groups_Oone__class_Oone(v2) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & hAPP(v7, v1) = v8 & hAPP(v3, v6) = v7 & c_Orderings_Oord__class_Oless(v2, v6, v5) & c_Orderings_Oord__class_Oless(v2, v4, v6) & ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v0))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Groups_Oone__class_Oone(v2) = v4 & c_Groups_Otimes__class_Otimes(v2) = v5 & hAPP(v7, v1) = v8 & hAPP(v5, v6) = v7 & c_Orderings_Oord__class_Oless(v2, v6, v4) & c_Orderings_Oord__class_Oless(v2, v3, v6) & ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v0))) & ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v2, v0)) & ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)) & ? [v0] : ! [v1] : ! [v2] : ( ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Fields_Ofield(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v2) = v3 & c_Polynomial_Opdivmod__rel(v1, v3, v0, v3, v3))) & ? [v0] : ! [v1] : ! [v2] : ( ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Fields_Ofield(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v2) = v3 & c_Polynomial_Opdivmod__rel(v1, v0, v3, v3, v0))) & ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = all_0_16_16) | ? [v2] : ( ~ (v2 = all_0_16_16) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = all_0_16_16) | ? [v2] : ( ~ (v2 = all_0_16_16) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_0_16_16) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Nat_Osize__class_Osize(tc_Nat_Onat, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_6_6) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_6_6, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_16_16) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_4_4, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_12_12, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v0, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : (v1 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, all_0_6_6, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_13_13 | v1 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_13_13)) & ! [v0] : ! [v1] : (v1 = all_0_13_13 | v0 = all_0_13_13 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_13_13)) & ! [v0] : ! [v1] : (v1 = all_0_13_13 | ~ (hAPP(all_0_7_7, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_16_16 | v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_13_13)) & ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, all_0_16_16, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, all_0_13_13) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16)) & ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (hAPP(all_0_14_14, v0) = v1)) & ! [v0] : ! [v1] : (v1 = c_fequal | ~ (c_HOL_Oequal__class_Oequal(v0) = v1) | ~ class_HOL_Oequal(v0)) & ! [v0] : ! [v1] : (v0 = all_0_13_13 | v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_13_13)) & ! [v0] : ! [v1] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1)) & ! [v0] : ! [v1] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = all_0_16_16) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_6_6) | ? [v2] : ? [v3] : (hAPP(v2, v3) = v1 & hAPP(all_0_8_8, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_6_6) | ? [v2] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = all_0_6_6 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_6_6) | ? [v2] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v2) = all_0_6_6 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = all_0_16_16) | ? [v2] : ? [v3] : (hAPP(v2, v3) = v1 & hAPP(all_0_15_15, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ class_Power_Opower(v0) | ? [v2] : ? [v3] : (c_Power_Opower_Opower(v0, v2, v3) = v1 & c_Groups_Oone__class_Oone(v0) = v2 & c_Groups_Otimes__class_Otimes(v0) = v3)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v0) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Odivision__ring(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Ozero__neq__one(v0) | ? [v2] : ( ~ (v2 = v1) & c_Groups_Ozero__class_Ozero(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v0) = v2 & c_Orderings_Oord__class_Oless(v0, v2, v1))) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v0) = v2 & c_Orderings_Oord__class_Oless__eq(v0, v2, v1))) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v0) = v2 & ~ c_Orderings_Oord__class_Oless(v0, v1, v2))) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v0) = v2 & ~ c_Orderings_Oord__class_Oless__eq(v0, v1, v2))) & ! [v0] : ! [v1] : ( ~ (c_Nat_Osize__class_Osize(tc_Nat_Onat, v0) = v1) | ? [v2] : ? [v3] : (c_Nat_Osize__class_Osize(tc_Nat_Onat, v2) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, all_0_13_13) = v3 & c_Nat_OSuc(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Nat_Onat_Onat__size(v0) = v1) | ? [v2] : ? [v3] : (c_Nat_Onat_Onat__size(v2) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, all_0_13_13) = v3 & c_Nat_OSuc(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_0_6_6) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_5_5, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_5_5, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_13_13) = v1) | c_Nat_OSuc(v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_13_13, v0) = v1) | c_Nat_OSuc(v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v1) = v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_13_13) = v1) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_13_13, v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v1)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ? [v2] : ? [v3] : (c_Nat_Osize__class_Osize(tc_Nat_Onat, v1) = v2 & c_Nat_Osize__class_Osize(tc_Nat_Onat, v0) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_0_13_13) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ? [v2] : ? [v3] : (c_Nat_Onat_Onat__size(v1) = v2 & c_Nat_Onat_Onat__size(v0) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_0_13_13) = v2)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__comm__monoid__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__ab__semigroup__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__semigroup__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Fields_Ofield(v0) | class_Divides_Oring__div(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Fields_Ofield(v0) | class_Divides_Osemiring__div(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Fields_Ofield(v0) | ? [v2] : (c_Polynomial_Opoly__gcd(v0, v2, v2) = v2 & c_Groups_Ozero__class_Ozero(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__1__strict(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__strict(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__comm__semiring__strict(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__cancel__ab__semigroup__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Oorder(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Olinorder(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Oord(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Opreorder(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__comm__monoid__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__ring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__comm__semiring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__semiring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__ring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__cancel__semiring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__1(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__semigroup__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__semigroup__add__imp__le(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__idom(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__group__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semidom(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__ring__strict(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Olinordered__ab__group__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Int_Oring__char__0(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v1) = v2 & ~ c_Polynomial_Opos__poly(v0, v2))) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring(v0) | class_Rings_Oring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring(v0) | class_Rings_Ocomm__ring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Ouminus(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Ogroup__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Oab__group__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | ? [v2] : (c_Groups_Ouminus__class_Ouminus(v1, v2) = v2 & c_Groups_Ozero__class_Ozero(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring__1(v0) | class_Rings_Oring__1(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring__1(v0) | class_Rings_Ocomm__ring__1(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Power_Opower(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Odvd(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Ocomm__monoid__mult(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Omonoid__mult(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Ozero__neq__one(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Oone(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | ? [v2] : ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v2 & c_Groups_Oone__class_Oone(v0) = v3 & c_Polynomial_OpCons(v0, v3, v4) = v2 & c_Groups_Ozero__class_Ozero(v1) = v4)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Omonoid__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Ocomm__monoid__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Oab__semigroup__add(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oring__1__no__zero__divisors(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oring__no__zero__divisors(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Ono__zero__divisors(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oidom(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_HOL_Oequal(v0) | ~ class_Groups_Ozero(v0) | class_HOL_Oequal(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ozero(v0) | class_Groups_Ozero(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ozero(v0) | ? [v2] : ? [v3] : (c_Polynomial_OpCons(v0, v2, v3) = v3 & c_Groups_Ozero__class_Ozero(v1) = v3 & c_Groups_Ozero__class_Ozero(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring__0(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Omult__zero(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__mult(v1)) & ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring__0(v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Fields_Ofield__inverse__zero(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Odivision__ring__inverse__zero(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Ozero__neq__one(v0) | ? [v2] : ( ~ (v2 = v1) & c_Groups_Oone__class_Oone(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Groups_Ogroup__add(v0) | c_Groups_Ouminus__class_Ouminus(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : ? [v3] : (c_Groups_Oone__class_Oone(v0) = v2 & c_Groups_Oplus__class_Oplus(v0, v2, v2) = v3 & c_Orderings_Oord__class_Oless(v0, v1, v3))) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Oone__class_Oone(v0) = v2 & c_Orderings_Oord__class_Oless(v0, v1, v2))) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Oone__class_Oone(v0) = v2 & c_Orderings_Oord__class_Oless__eq(v0, v1, v2))) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Oone__class_Oone(v0) = v2 & ~ c_Orderings_Oord__class_Oless(v0, v2, v1))) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Oone__class_Oone(v0) = v2 & ~ c_Orderings_Oord__class_Oless__eq(v0, v2, v1))) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_8_8, v0) = v1) | hAPP(v1, all_0_5_5) = v0) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_12_12, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_15_15, v0) = v1) | hAPP(v1, all_0_13_13) = v0) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_15_15, v0) = v1) | hAPP(v1, all_0_16_16) = all_0_16_16) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Oorder(v1)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Olinorder(v1) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Olinorder(v1)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Opreorder(v1)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v0, v1)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v2] : ? [v3] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3 & c_Nat_OSuc(v3) = v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v0) & ? [v0] : ? [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v0, v1)) & ? [v0] : ? [v1] : ! [v2] : (v1 = v0 | ~ class_Rings_Olinordered__idom(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v0, v1)) & ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ? [v0] : ! [v1] : ( ~ class_Orderings_Oorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ? [v0] : ! [v1] : ( ~ class_Orderings_Olinorder(v1) | c_Orderings_Oord__class_Oless(v1, v0, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ? [v0] : ! [v1] : ( ~ class_Orderings_Opreorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ? [v0] : ! [v1] : ( ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v0, v0)) & ! [v0] : (v0 = all_0_5_5 | ~ (hAPP(all_0_4_4, all_0_5_5) = v0)) & ! [v0] : (v0 = all_0_13_13 | v0 = all_0_16_16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_11_11)) & ! [v0] : (v0 = all_0_13_13 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_13_13, all_0_16_16) = v0)) & ! [v0] : (v0 = all_0_13_13 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, all_0_13_13) = v0)) & ! [v0] : (v0 = all_0_13_13 | ~ (hAPP(all_0_12_12, all_0_13_13) = v0)) & ! [v0] : (v0 = all_0_13_13 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_0_13_13)) & ! [v0] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, all_0_16_16) = v0)) & ! [v0] : (v0 = all_0_16_16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_13_13)) & ! [v0] : (v0 = all_0_16_16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_0_16_16)) & ! [v0] : ~ (c_Nat_OSuc(v0) = v0) & ! [v0] : ~ (c_Nat_OSuc(v0) = all_0_16_16) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v0) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_5_5, v0)) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_16_16) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | ? [v1] : c_Nat_OSuc(v1) = v0) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_5_5, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring__0(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Omult__zero(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__mult(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Omonoid__add(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Ocomm__monoid__add(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__add(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Ozero(v0)) & ? [v0] : ? [v1] : (v1 = v0 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) & ? [v0] : ? [v1] : (v1 = v0 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & hAPP(v1, v2) = v3 & hAPP(v0, v2) = v4)) & ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) & ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)) & ? [v0] : (v0 = all_0_16_16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0)) & ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v0) & ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_0_16_16) & ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_0_13_13, v0) & ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0) & ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) & ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v0)
% 37.41/9.71 |
% 37.41/9.71 | Applying alpha-rule on (1) yields:
% 37.41/9.71 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : (c_Nat_OSuc(v2) = v3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)))
% 37.41/9.71 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v4, v5))
% 37.41/9.71 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Polynomial_Ocoeff(v2, v1) = v6) | ~ (c_Polynomial_Ocoeff(v2, v0) = v9) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v5, v7) = v8) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Groups_Otimes__class_Otimes(v12) = v13 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v4) = v17 & c_Polynomial_Ocoeff(v2, v15) = v16 & tc_Polynomial_Opoly(v2) = v12 & hAPP(v16, v17) = v11 & hAPP(v14, v0) = v15 & hAPP(v13, v1) = v14))
% 37.41/9.71 | (5) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__cancel__ab__semigroup__add(v1))
% 37.41/9.72 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v7) | ~ (c_Polynomial_OpCons(v3, v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : (c_Polynomial_Osmult(v3, v2, v9) = v8 & c_Polynomial_OpCons(v3, v1, v0) = v9))
% 37.41/9.72 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | v0 = all_0_16_16 | ~ (hAPP(v2, v0) = all_0_16_16) | ~ (hAPP(all_0_15_15, v1) = v2))
% 37.41/9.72 | (8) c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_0_6_6) = all_0_6_6
% 37.41/9.72 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v4) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v5)
% 37.41/9.72 | (10) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v3) = v6 & c_Groups_Ozero__class_Ozero(v3) = v5 & (v5 = v2 | (( ~ c_Rings_Odvd__class_Odvd(v6, v0, v4) | c_Rings_Odvd__class_Odvd(v6, v0, v1)) & ( ~ c_Rings_Odvd__class_Odvd(v6, v0, v1) | c_Rings_Odvd__class_Odvd(v6, v0, v4))))))
% 37.41/9.72 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Osmult(v3, v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Osmult(v3, v2, v8) = v7 & c_Polynomial_Osmult(v3, v1, v0) = v8))
% 37.41/9.72 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v5, v6))
% 37.41/9.72 | (13) class_Orderings_Oord(tc_HOL_Obool)
% 37.41/9.72 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3, v2) = v0))
% 37.41/9.72 | (15) class_Orderings_Oord(tc_Nat_Onat)
% 37.41/9.72 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v0) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v4) = v7) | ~ class_Rings_Oordered__ring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v1) = v14 & ( ~ c_Orderings_Oord__class_Oless(v5, v9, v16) | c_Orderings_Oord__class_Oless(v5, v2, v13)) & ( ~ c_Orderings_Oord__class_Oless(v5, v2, v13) | c_Orderings_Oord__class_Oless(v5, v9, v16))))
% 37.41/9.72 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower_Opower(v4, v3, v2) = v5) | ~ (c_Nat_OSuc(v0) = v7) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ? [v9] : ? [v10] : (hAPP(v9, v10) = v8 & hAPP(v6, v0) = v10 & hAPP(v2, v1) = v9))
% 37.41/9.72 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Ocomm__ring__1(v1) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v1, v4) = v5 & c_Groups_Oone__class_Oone(v1) = v4 & c_Groups_Otimes__class_Otimes(v1) = v3 & hAPP(v6, v0) = v2 & hAPP(v3, v5) = v6))
% 37.41/9.72 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Osmult(v2, v1, v0) = v3) | ~ class_Rings_Oidom(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v0) = v6 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ (v5 = v1) | v4 = all_0_16_16) & (v6 = v4 | v5 = v1)))
% 37.41/9.72 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ (v16 = v2) | v12 = v9) & ( ~ (v12 = v9) | v16 = v2)))
% 37.41/9.72 | (21) class_Orderings_Opreorder(tc_Int_Oint)
% 37.41/9.72 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 37.41/9.72 | (23) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Int_Oring__char__0(v1))
% 37.41/9.72 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v5))
% 37.41/9.72 | (25) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & ( ~ c_Rings_Odvd__class_Odvd(v5, v4, v0) | c_Rings_Odvd__class_Odvd(v5, v1, v0))))
% 37.41/9.72 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v2, v5, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Divides_Osemiring__div(v2) | c_Groups_Ozero__class_Ozero(v2) = v6)
% 37.41/9.72 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ c_Rings_Odvd__class_Odvd(v2, v3, v0) | ~ class_Rings_Ocomm__ring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v0))
% 37.41/9.72 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))
% 37.41/9.72 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2)))
% 37.41/9.72 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v1))
% 37.41/9.72 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 37.41/9.72 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ class_Rings_Oidom(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v8 & hAPP(v5, all_0_11_11) = v7 & hAPP(v4, all_0_11_11) = v6 & ( ~ (v7 = v6) | v8 = v1 | v1 = v0) & (v7 = v6 | ( ~ (v8 = v1) & ~ (v1 = v0)))))
% 37.41/9.72 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3))
% 37.41/9.72 | (34) ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_5_5 | ~ (hAPP(v2, v0) = all_0_5_5) | ~ (hAPP(all_0_8_8, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1))
% 37.41/9.72 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v3 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v4 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v5 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v5) = v3))
% 37.41/9.72 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v7) = v8) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Osmult(v3, v2, v1) = v9 & hAPP(v10, v0) = v8 & hAPP(v5, v9) = v10))
% 37.41/9.72 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Groups_Omonoid__mult(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v4, v9) = v8))
% 37.41/9.72 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Nat_OSuc(v1) = v6) | ~ (hAPP(v8, v6) = v9) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v8) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v9) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0) | ? [v10] : (c_Groups_Ozero__class_Ozero(v3) = v10 & ~ c_Orderings_Oord__class_Oless__eq(v3, v10, v0)))
% 37.41/9.72 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v0, v1) = v3) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3)
% 37.41/9.72 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v9) = v10) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v11 & hAPP(v12, v0) = v10 & hAPP(v5, v11) = v12))
% 37.41/9.72 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))
% 37.41/9.72 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_10_10, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v3))
% 37.41/9.72 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2) | ? [v4] : (c_Divides_Odiv__class_Omod(v2, v4, v0) = v3 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4))
% 37.41/9.72 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v5 & (v5 = v3 | v5 = v0)))
% 37.41/9.72 | (45) ! [v0] : ! [v1] : (v0 = all_0_13_13 | v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_13_13))
% 37.41/9.72 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ c_Polynomial_Opos__poly(v2, v1) | ~ c_Polynomial_Opos__poly(v2, v0) | ~ class_Rings_Olinordered__idom(v2) | c_Polynomial_Opos__poly(v2, v6))
% 37.41/9.73 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osmult(v3, v2, v4) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Otimes__class_Otimes(v3) = v6 & c_Polynomial_Osmult(v3, v8, v0) = v5 & hAPP(v7, v1) = v8 & hAPP(v6, v2) = v7))
% 37.41/9.73 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 37.41/9.73 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : (c_Polynomial_OAbs__poly(v2, v5) = v3 & c_Nat_Onat_Onat__case(v2, v1, v4) = v5 & c_Polynomial_Ocoeff(v2, v0) = v4))
% 37.41/9.73 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Power_Opower_Opower(v4, v3, v2) = v1) | ~ (c_Power_Opower_Opower(v4, v3, v2) = v0))
% 37.41/9.73 | (51) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v0, v1))
% 37.41/9.73 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ hBOOL(v4) | ? [v5] : ? [v6] : (hAPP(v2, v1) = v5 & hAPP(all_0_8_8, v0) = v6 & ( ~ (v0 = all_0_6_6) | hBOOL(v5)) & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v8) = v1) | ~ (hAPP(v6, v7) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v8) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v8, all_0_6_6) | ? [v10] : (hAPP(v2, v8) = v10 & hBOOL(v10)))) & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v8) = v1) | ~ (hAPP(v6, v7) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v8) | ? [v10] : (hAPP(v2, v8) = v10 & hBOOL(v10))))))
% 37.41/9.73 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v0))
% 37.41/9.73 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1))
% 37.41/9.73 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v1))
% 37.41/9.73 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : (hAPP(v9, v12) = v11 & hAPP(v8, v0) = v12))
% 37.41/9.73 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v3) = v4) | ~ class_Groups_Oab__group__add(v2) | c_Groups_Ominus__class_Ominus(v2, v0, v1) = v4)
% 37.41/9.73 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v1, v3))
% 37.41/9.73 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Osynthetic__div(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v4] : ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v6 & tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & ( ~ (v6 = all_0_16_16) | v5 = v3) & ( ~ (v5 = v3) | v6 = all_0_16_16)))
% 37.41/9.73 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v6) | ~ (c_Polynomial_OpCons(v4, v0, v1) = v5) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v7, v3, v8) = v9 & c_Polynomial_Osmult(v4, v2, v1) = v8 & c_Polynomial_Opoly(v4, v3) = v10 & tc_Polynomial_Opoly(v4) = v7 & hAPP(v10, v2) = v11 & ( ~ (v9 = v5) | (v11 = v0 & v6 = v1))))
% 37.41/9.73 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v7) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v8) = v9) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Odivision__ring(v2) | ? [v11] : ? [v12] : (c_Groups_Ominus__class_Ominus(v2, v3, v4) = v12 & c_Groups_Ozero__class_Ozero(v2) = v11 & (v12 = v10 | v11 = v1 | v11 = v0)))
% 37.41/9.73 | (62) class_Groups_Oordered__ab__group__add(tc_Int_Oint)
% 37.41/9.73 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Olinordered__ring__strict(v3) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | (c_Orderings_Oord__class_Oless(v3, v9, v1) & c_Orderings_Oord__class_Oless(v3, v2, v0)) | (c_Orderings_Oord__class_Oless(v3, v1, v9) & c_Orderings_Oord__class_Oless(v3, v0, v2))) & (c_Orderings_Oord__class_Oless(v3, v6, v8) | (( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) | ~ c_Orderings_Oord__class_Oless(v3, v2, v0)) & ( ~ c_Orderings_Oord__class_Oless(v3, v1, v9) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2))))))
% 37.41/9.73 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v3) = v4) | ~ class_Groups_Oab__group__add(v2) | c_Groups_Ominus__class_Ominus(v2, v1, v0) = v4)
% 37.41/9.73 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 37.41/9.73 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_OpCons(v2, v1, v0) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2))
% 37.41/9.73 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | c_Orderings_Oord__class_Oless(v2, v0, v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v0, v5)))
% 37.41/9.73 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v3, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ~ (c_Nat_OSuc(v2) = v3) | ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v5, v0) = v4 & c_Nat_OSuc(v1) = v5))
% 37.41/9.73 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v0) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) = v8) | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(all_0_8_8, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, all_0_6_6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v4))
% 37.41/9.73 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2))
% 37.41/9.73 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1))
% 37.41/9.73 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v7) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v5) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_HOL_Oequal__class_Oequal(v2) = v9 & c_Groups_Ozero__class_Ozero(v2) = v10 & hAPP(v11, v1) = v12 & hAPP(v9, v10) = v11 & hAPP(v6, v0) = v13 & ( ~ hBOOL(v13) | ~ hBOOL(v12) | hBOOL(v8)) & ( ~ hBOOL(v8) | (hBOOL(v13) & hBOOL(v12)))))
% 37.68/9.73 | (73) ? [v0] : (v0 = all_0_16_16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0))
% 37.68/9.73 | (74) c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_0_1_1, v_h) = all_0_0_0
% 37.68/9.73 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v0) | v2 = v0) & ( ~ (v2 = v0) | v3 = v0)))
% 37.68/9.73 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v3, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v0, v5)))
% 37.68/9.73 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ class_Groups_Ocomm__monoid__add(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v6) = v4 & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v6 & tc_Polynomial_Opoly(v2) = v5))
% 37.68/9.73 | (78) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Oorder(v1))
% 37.68/9.73 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1))
% 37.68/9.73 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v0) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v4))
% 37.68/9.73 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & hAPP(v7, v0) = v8 & hAPP(v3, v1) = v7))
% 37.68/9.73 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (c_Polynomial_Opoly__rec(v0, v3, v1, v2, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Groups_Ozero__class_Ozero(v4) = v5) | ~ class_Groups_Ozero(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = v1) & c_Groups_Ozero__class_Ozero(v3) = v7 & hAPP(v9, v1) = v10 & hAPP(v8, v5) = v9 & hAPP(v2, v7) = v8))
% 37.68/9.74 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4))
% 37.68/9.74 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 37.68/9.74 | (85) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Oone__class_Oone(v0) = v2 & ~ c_Orderings_Oord__class_Oless(v0, v2, v1)))
% 37.68/9.74 | (86) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Oab__semigroup__add(v1))
% 37.68/9.74 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v4 = v1 | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v7) | ~ (c_Polynomial_Oorder(v2, v0, v1) = v11) | ~ (c_Nat_OSuc(v11) = v12) | ~ (c_Polynomial_OpCons(v2, v7, v4) = v8) | ~ (c_Polynomial_OpCons(v2, v6, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v10, v12) = v13) | ~ (hAPP(v5, v9) = v10) | ~ class_Rings_Oidom(v2) | ? [v14] : (hAPP(v10, v11) = v14 & c_Rings_Odvd__class_Odvd(v3, v14, v1)))
% 37.68/9.74 | (88) class_Rings_Oordered__comm__semiring(tc_Nat_Onat)
% 37.68/9.74 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring__no__zero__divisors(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | v5 = v1 | v5 = v0) & (v6 = v5 | ( ~ (v6 = v1) & ~ (v6 = v0)))))
% 37.68/9.74 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v2))
% 37.68/9.74 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 37.68/9.74 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (hAPP(v14, v0) = v15 & hAPP(v13, v15) = v11 & hAPP(v6, v1) = v12 & hAPP(v5, v12) = v13 & hAPP(v5, v2) = v14))
% 37.68/9.74 | (93) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v1))
% 37.68/9.74 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v6) | ~ c_Orderings_Oord__class_Oless(v2, v0, v6) | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 37.68/9.74 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_6_6 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) & ~ hBOOL(v9)) | (v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))))
% 37.68/9.74 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ominus__class_Ominus(v3, v6, v7) = v8 & c_Divides_Odiv__class_Omod(v3, v8, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v6 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v7))
% 37.68/9.74 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v9 & hAPP(v5, v9) = v8))
% 37.68/9.74 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : ? [v7] : (c_Groups_Ouminus__class_Ouminus(v3, v0) = v7 & c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Polynomial_OpCons(v2, v6, v7) = v5))
% 37.68/9.74 | (99) class_Divides_Oring__div(tc_Int_Oint)
% 37.68/9.74 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v0) | v3 = v1) & ( ~ (v3 = v1) | v4 = v0)))
% 37.68/9.74 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v2, v4) = v5) | ~ class_Groups_Ozero(v1) | hAPP(v3, v4) = v5)
% 37.68/9.74 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6))
% 37.68/9.74 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ class_Groups_Ocomm__monoid__add(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v6) = v4 & c_Groups_Oplus__class_Oplus(v5, v0, v1) = v6 & tc_Polynomial_Opoly(v2) = v5))
% 37.68/9.74 | (104) ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_6_6) | ? [v2] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = all_0_6_6 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2))
% 37.68/9.74 | (105) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2))
% 37.68/9.74 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Groups_Oab__semigroup__add(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6))
% 37.68/9.74 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v0) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v4) = v7) | ~ class_Rings_Oring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v1) = v14 & ( ~ (v16 = v9) | v13 = v2) & ( ~ (v13 = v2) | v16 = v9)))
% 37.68/9.74 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v0) = v4 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v5))
% 37.68/9.74 | (109) ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Ozero__neq__one(v0) | ? [v2] : ( ~ (v2 = v1) & c_Groups_Ozero__class_Ozero(v0) = v2))
% 37.68/9.74 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Omonom(v4, v3, v2) = v1) | ~ (c_Polynomial_Omonom(v4, v3, v2) = v0))
% 37.68/9.74 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v7) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v8) = v9) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Odivision__ring(v2) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v12 & c_Groups_Ozero__class_Ozero(v2) = v11 & (v12 = v10 | v11 = v1 | v11 = v0)))
% 37.68/9.74 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | ~ (c_Divides_Odiv__class_Omod(v5, v3, v2) = v6) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ c_Polynomial_Opdivmod__rel(v4, v3, v2, v1, v0) | ~ class_Fields_Ofield(v4))
% 37.68/9.74 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v3)
% 37.68/9.74 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v7 & hAPP(v8, v0) = v6 & hAPP(v3, v7) = v8))
% 37.68/9.74 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Ocancel__semigroup__add(v3))
% 37.68/9.74 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | v0 = all_0_16_16 | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Power_Opower(v1) | ~ class_Rings_Osemiring__0(v1))
% 37.68/9.74 | (117) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0))
% 37.68/9.74 | (118) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, v0) = v1))
% 37.68/9.74 | (119) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__mult(v0))
% 37.68/9.74 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 37.68/9.75 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Odegree(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v5) & c_Polynomial_Ocoeff(v2, v0) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & hAPP(v4, v6) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v6)))
% 37.68/9.75 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v4) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_15_15, v1) = v7))
% 37.68/9.75 | (123) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v4 & c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v4) | c_Orderings_Oord__class_Oless__eq(v1, v4, v2))))
% 37.68/9.75 | (124) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))
% 37.68/9.75 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v2, v4, v0) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v1, v0) = v5)
% 37.68/9.75 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0))
% 37.68/9.75 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v1) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v7] : ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(v3, v8, v1) = v9 & c_Divides_Odiv__class_Omod(v3, v0, v1) = v7 & c_Groups_Ouminus__class_Ouminus(v3, v2) = v8 & ( ~ (v7 = v4) | v9 = v6)))
% 37.68/9.75 | (128) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1))
% 37.68/9.75 | (129) ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_13_13 | ~ (hAPP(v2, v0) = all_0_13_13) | ~ (hAPP(all_0_15_15, v1) = v2))
% 37.68/9.75 | (130) ! [v0] : ! [v1] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16))
% 37.68/9.75 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tc_fun(v3, v4) = v5) | ~ (hAPP(v2, v0) = v6) | ~ (hAPP(v1, v0) = v7) | ~ class_Orderings_Oord(v4) | ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v1) | c_Orderings_Oord__class_Oless__eq(v4, v6, v7))
% 37.68/9.75 | (132) ! [v0] : (v0 = all_0_13_13 | v0 = all_0_16_16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_11_11))
% 37.68/9.75 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))
% 37.68/9.75 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Odegree(v2, v6) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Oidom(v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Odegree(v2, v1) = v9 & c_Polynomial_Odegree(v2, v0) = v10 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v9, v10) = v11 & c_Groups_Ozero__class_Ozero(v3) = v8 & (v11 = v7 | v8 = v1 | v8 = v0)))
% 37.68/9.75 | (135) ? [v0] : ! [v1] : ( ~ class_Orderings_Opreorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 37.68/9.75 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v7 & hAPP(v4, v7) = v6))
% 37.68/9.75 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v0, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 37.68/9.75 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = all_0_16_16 | v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3))
% 37.68/9.75 | (139) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__semiring(v1))
% 37.68/9.75 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v4) = v5) | ~ (c_Polynomial_Opoly__gcd(v3, v1, v0) = v4) | ~ class_Fields_Ofield(v3) | ? [v6] : (c_Polynomial_Opoly__gcd(v3, v2, v0) = v6 & c_Polynomial_Opoly__gcd(v3, v1, v6) = v5))
% 37.68/9.75 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v4) = v5) | ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__ring(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v6, v1) = v7 & c_Polynomial_Opoly(v2, v7) = v8 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v5))
% 37.68/9.75 | (142) ! [v0] : ! [v1] : ( ~ (c_Nat_Onat_Onat__size(v0) = v1) | ? [v2] : ? [v3] : (c_Nat_Onat_Onat__size(v2) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, all_0_13_13) = v3 & c_Nat_OSuc(v0) = v2))
% 37.68/9.75 | (143) class_Power_Opower(tc_Int_Oint)
% 37.68/9.75 | (144) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1))
% 37.68/9.75 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6))
% 37.68/9.75 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 37.68/9.75 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1))
% 37.68/9.75 | (148) class_Rings_Osemiring__0(tc_Int_Oint)
% 37.68/9.75 | (149) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 37.68/9.75 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v4, v1, v5) = v6) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(v4, v1, v0) = v8 & c_Groups_Ozero__class_Ozero(v3) = v7 & (v8 = v6 | v7 = v2)))
% 37.68/9.75 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v7 & c_Rings_Oinverse__class_Oinverse(v2, v0) = v9 & hAPP(v8, v9) = v6 & hAPP(v3, v7) = v8))
% 37.68/9.75 | (152) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ c_Rings_Odvd__class_Odvd(v1, v2, v0) | ~ class_Rings_Ocomm__semiring__1(v1))
% 37.68/9.75 | (153) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 37.68/9.75 | (154) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0)))
% 37.68/9.75 | (155) class_Rings_Ono__zero__divisors(tc_Int_Oint)
% 37.68/9.75 | (156) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0))
% 37.68/9.75 | (157) ! [v0] : ~ (c_Nat_OSuc(v0) = v0)
% 37.68/9.75 | (158) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | c_Orderings_Oord__class_Oless(v1, v3, v0)) & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 37.68/9.75 | (159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v1) = v10))
% 37.68/9.75 | (160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v3) | v5 = v0)))
% 37.68/9.75 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(v4, v1, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ class_Groups_Oordered__ab__group__add(v4) | c_Orderings_Oord__class_Oless(v4, v1, v0))
% 37.68/9.75 | (162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v1 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v5) | ~ (c_Polynomial_OpCons(v4, v1, v0) = v5) | ~ class_Groups_Ozero(v4))
% 37.68/9.75 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v6) | c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 37.68/9.75 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v0) = v4) | ~ class_Groups_Ogroup__add(v2))
% 37.68/9.75 | (165) class_Groups_Omonoid__add(tc_Nat_Onat)
% 37.68/9.75 | (166) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Ocomm__monoid__add(v1))
% 37.68/9.75 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2))
% 37.68/9.75 | (168) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Ofield__inverse__zero(v1) | ? [v3] : (c_Groups_Oone__class_Oone(v1) = v3 & ( ~ (v3 = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0)))
% 37.68/9.75 | (169) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Groups_Oab__group__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v3)
% 37.68/9.75 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(v4, v1, v0) = v5) | ~ class_Groups_Oordered__ab__group__add(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v3, v2))
% 37.68/9.76 | (171) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(v4, v1, v0) = v5) | ~ class_Groups_Oordered__ab__group__add(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0))
% 37.68/9.76 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v7, v9) = v10) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_RealVector_Oreal__normed__algebra(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v11 & c_Groups_Ominus__class_Ominus(v4, v2, v0) = v13 & c_Groups_Oplus__class_Oplus(v4, v16, v17) = v10 & c_Groups_Oplus__class_Oplus(v4, v14, v15) = v16 & hAPP(v12, v13) = v14 & hAPP(v12, v0) = v15 & hAPP(v8, v13) = v17 & hAPP(v5, v11) = v12))
% 37.68/9.76 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v4) = v5) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Osmult(v1, v5, v0) = v6) | ~ (hAPP(v2, v3) = v4) | ~ class_Fields_Ofield(v1) | ? [v7] : ? [v8] : (c_Polynomial_Opoly__gcd(v1, v0, v8) = v6 & tc_Polynomial_Opoly(v1) = v7 & c_Groups_Ozero__class_Ozero(v7) = v8))
% 37.68/9.76 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3))
% 37.68/9.76 | (175) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oordered__ring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ c_Orderings_Oord__class_Oless(v5, v16, v0) | c_Orderings_Oord__class_Oless(v5, v9, v12)) & ( ~ c_Orderings_Oord__class_Oless(v5, v9, v12) | c_Orderings_Oord__class_Oless(v5, v16, v0))))
% 37.68/9.76 | (176) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__comm__monoid__add(v1))
% 37.68/9.76 | (177) class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat)
% 37.68/9.76 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v4, v0) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v5) = v3 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v4))
% 37.68/9.76 | (179) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Ocomm__monoid__mult(v1))
% 37.68/9.76 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1))
% 37.68/9.76 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v1) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Divides_Osemiring__div(v3) | c_Divides_Odiv__class_Omod(v3, v2, v1) = v8)
% 37.68/9.76 | (182) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ class_Orderings_Oorder(v3) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 37.68/9.76 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v3, v10, v1) = v7 & c_Divides_Odiv__class_Omod(v3, v2, v1) = v8 & hAPP(v9, v0) = v10 & hAPP(v4, v8) = v9))
% 37.68/9.76 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2))
% 37.68/9.76 | (185) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__semigroup__add(v1))
% 37.68/9.76 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v3)
% 37.68/9.76 | (187) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1))
% 37.68/9.76 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 37.68/9.76 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v0) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v4, v5))
% 37.68/9.76 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 37.68/9.76 | (191) hAPP(all_0_15_15, all_0_13_13) = all_0_12_12
% 37.68/9.76 | (192) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | hBOOL(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (hAPP(v2, v1) = v5 & hAPP(all_0_8_8, v0) = v6 & ((v10 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v8) = v1 & hAPP(v6, v7) = v9 & hAPP(v2, v8) = v11 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, v0) & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v8) & ~ hBOOL(v11)) | (v10 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v8) = v1 & hAPP(v6, v7) = v9 & hAPP(v2, v8) = v11 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v8) & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v8, all_0_6_6) & ~ hBOOL(v11)) | (v0 = all_0_6_6 & ~ hBOOL(v5)))))
% 37.68/9.76 | (193) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, all_0_13_13)
% 37.68/9.76 | (194) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ (c_Groups_Oplus__class_Oplus(v5, v4, v1) = v8) | ~ class_Divides_Osemiring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v12, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v4, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v11 & c_Groups_Oplus__class_Oplus(v5, v2, v0) = v12 & ( ~ (v11 = v7) | ~ (v10 = v6) | v13 = v9)))
% 37.68/9.76 | (195) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(c_fequal, v0) = v1) | hBOOL(v2))
% 37.68/9.76 | (196) ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, all_0_13_13) = v1))
% 37.68/9.76 | (197) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Olinordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | c_Orderings_Oord__class_Oless(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v1)))
% 37.68/9.76 | (198) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless__eq(v2, v1, v3))
% 37.68/9.76 | (199) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v3) | c_Orderings_Oord__class_Oless__eq(v2, v0, v4))
% 37.68/9.76 | (200) class_Rings_Ocomm__ring(tc_Int_Oint)
% 37.68/9.76 | (201) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ class_Divides_Oring__div(v5) | ? [v8] : ? [v9] : ? [v10] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v8 & c_Groups_Ominus__class_Ominus(v5, v2, v0) = v10 & c_Divides_Odiv__class_Omod(v5, v10, v3) = v9 & c_Divides_Odiv__class_Omod(v5, v8, v3) = v9))
% 37.68/9.76 | (202) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v5, v6))
% 37.68/9.76 | (203) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v8, v9) = v7 & hAPP(v5, v1) = v8 & hAPP(v5, v0) = v9))
% 37.68/9.76 | (204) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Oidom(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & (v8 = v2 | ~ c_Rings_Odvd__class_Odvd(v3, v6, v7) | c_Rings_Odvd__class_Odvd(v3, v1, v0)) & (c_Rings_Odvd__class_Odvd(v3, v6, v7) | ( ~ (v8 = v2) & ~ c_Rings_Odvd__class_Odvd(v3, v1, v0)))))
% 37.68/9.76 | (205) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v3, v6) = v7) | ~ (c_Polynomial_Osmult(v4, v2, v1) = v6) | ~ (c_Polynomial_OpCons(v4, v0, v1) = v7) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v8] : (c_Polynomial_Osynthetic__div(v4, v3, v2) = v1 & c_Polynomial_Opoly(v4, v3) = v8 & hAPP(v8, v2) = v0))
% 37.68/9.76 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v9) = v10) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v8, v1) = v12 & hAPP(v6, v0) = v11 & ( ~ (v13 = v10) | v3 = v2 | v1 = v0) & (v13 = v10 | ( ~ (v3 = v2) & ~ (v1 = v0)))))
% 37.68/9.76 | (207) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v7) = v8) | ~ class_Groups_Ocomm__monoid__mult(v3) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (hAPP(v13, v0) = v14 & hAPP(v12, v14) = v9 & hAPP(v10, v0) = v11 & hAPP(v5, v11) = v12 & hAPP(v4, v2) = v10 & hAPP(v4, v1) = v13))
% 37.68/9.77 | (208) class_Rings_Olinordered__semiring(tc_Int_Oint)
% 37.68/9.77 | (209) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_10_10, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 37.68/9.77 | (210) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v6) = v7) | ~ (c_Polynomial_OpCons(v5, v1, v0) = v6) | ~ class_Groups_Ozero(v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_If(v4, v13, v3, v14) = v15 & c_Polynomial_Opoly__rec(v4, v5, v3, v2, v0) = v14 & tc_Polynomial_Opoly(v5) = v11 & c_Groups_Ozero__class_Ozero(v11) = v12 & hAPP(v10, v12) = v13 & hAPP(v9, v15) = v7 & hAPP(v8, v0) = v9 & hAPP(v2, v1) = v8 & hAPP(c_fequal, v0) = v10))
% 37.68/9.77 | (211) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_13_13 | ~ (hAPP(v1, all_0_16_16) = v2) | ~ (hAPP(all_0_10_10, v0) = v1))
% 37.68/9.77 | (212) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))
% 37.68/9.77 | (213) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_5_5, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1))
% 37.68/9.77 | (214) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v0, v1) = v3) | ~ class_Divides_Osemiring__div(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | c_Groups_Ozero__class_Ozero(v2) = v3)
% 37.68/9.77 | (215) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, all_0_6_6)
% 37.68/9.77 | (216) class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint)
% 37.68/9.77 | (217) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v4) = v5) | ~ (c_Polynomial_Opoly__gcd(v3, v1, v0) = v4) | ~ class_Fields_Ofield(v3) | ? [v6] : (c_Polynomial_Opoly__gcd(v3, v6, v0) = v5 & c_Polynomial_Opoly__gcd(v3, v2, v1) = v6))
% 37.68/9.77 | (218) hAPP(all_0_10_10, all_0_13_13) = all_0_7_7
% 37.68/9.77 | (219) class_Rings_Oordered__semiring(tc_Nat_Onat)
% 37.68/9.77 | (220) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0))
% 37.68/9.77 | (221) class_Groups_Ozero(tc_Int_Oint)
% 37.68/9.77 | (222) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v3, v2) = v1) | ~ (c_Polynomial_Ocoeff(v3, v2) = v0))
% 37.68/9.77 | (223) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Polynomial_OpCons(v2, v4, v5) = v6) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v3, v7) = v6 & c_Polynomial_OpCons(v2, v1, v0) = v7))
% 37.68/9.77 | (224) ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v2, v0))
% 37.68/9.77 | (225) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2))
% 37.68/9.77 | (226) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 37.68/9.77 | (227) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Opoly(v3, v7) = v8) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_Groups_Otimes__class_Otimes(v3) = v10 & c_Polynomial_Opoly(v3, v2) = v11 & c_Polynomial_Opoly(v3, v1) = v14 & hAPP(v14, v0) = v15 & hAPP(v13, v15) = v9 & hAPP(v11, v0) = v12 & hAPP(v10, v12) = v13))
% 37.68/9.77 | (228) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Fields_Ofield(v0) | class_Divides_Oring__div(v1))
% 37.68/9.77 | (229) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v4) | ~ hBOOL(v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v0) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))))
% 37.68/9.77 | (230) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Polynomial_Omonom(v1, v0, all_0_16_16) = v2) | ~ class_Groups_Ozero(v1) | ? [v3] : ? [v4] : (c_Polynomial_OpCons(v1, v0, v4) = v2 & tc_Polynomial_Opoly(v1) = v3 & c_Groups_Ozero__class_Ozero(v3) = v4))
% 37.68/9.77 | (231) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v0)
% 37.68/9.77 | (232) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0))
% 37.68/9.77 | (233) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_HOL_Oequal__class_Oequal(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_HOL_Oequal(v1) | hBOOL(v4))
% 37.68/9.77 | (234) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v2) = v1) | ~ (c_Groups_Otimes__class_Otimes(v2) = v0))
% 37.68/9.77 | (235) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0))
% 37.68/9.77 | (236) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)
% 37.68/9.77 | (237) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_6_6) | ? [v8] : (hAPP(v4, v3) = v8 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, v7)))
% 37.68/9.77 | (238) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_13_13) = v2) | ~ (hAPP(all_0_15_15, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0))
% 37.68/9.77 | (239) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (c_Polynomial_Opoly__gcd(v2, v1, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : ? [v7] : (c_Polynomial_Opoly__gcd(v2, v0, v1) = v7 & c_Groups_Ozero__class_Ozero(v3) = v6 & (v7 = v5 | v6 = v1)))
% 37.68/9.77 | (240) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & (v6 = v4 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v0))))
% 37.68/9.77 | (241) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v6 & c_Groups_Ozero__class_Ozero(v2) = v5 & (v5 = v4 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v6))))
% 37.68/9.77 | (242) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Ocomm__semiring(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v1) = v10))
% 37.68/9.77 | (243) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 37.68/9.77 | (244) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v0) = v5 & c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v1) = v4 & ( ~ (v3 = v0) | v5 = all_0_16_16)))
% 37.68/9.77 | (245) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oorder(v1) | class_Orderings_Oorder(v2))
% 37.68/9.77 | (246) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Polynomial_Omonom(v3, v4, v1) = v5) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Oplus__class_Oplus(v6, v7, v8) = v5 & c_Polynomial_Omonom(v3, v2, v1) = v7 & c_Polynomial_Omonom(v3, v0, v1) = v8 & tc_Polynomial_Opoly(v3) = v6))
% 37.68/9.77 | (247) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v4) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v3) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v4))
% 37.68/9.77 | (248) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v5, v1)))
% 37.68/9.77 | (249) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Rings_Olinordered__idom(v2) | ? [v4] : ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Polynomial_Opos__poly(v2, v3) | c_Polynomial_Opos__poly(v2, v0) | (v5 = v0 & c_Orderings_Oord__class_Oless(v2, v6, v1))) & (c_Polynomial_Opos__poly(v2, v3) | ( ~ c_Polynomial_Opos__poly(v2, v0) & ( ~ (v5 = v0) | ~ c_Orderings_Oord__class_Oless(v2, v6, v1))))))
% 37.68/9.77 | (250) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v5, v1)))
% 37.68/9.77 | (251) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Nat_OSuc(v0) = v2) | ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v3 & c_Nat_OSuc(v1) = v4))
% 37.68/9.77 | (252) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_8_8, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v7))
% 37.68/9.77 | (253) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v5, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v9, v0) = v10) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Odvd(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v10) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__ring(v3) | ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v5, v0) = v11 & c_Rings_Odvd__class_Odvd(v3, v2, v11)))
% 37.68/9.77 | (254) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_OAbs__poly(v2, v4) = v5) | ~ (c_Nat_Onat_Onat__case(v2, v1, v3) = v4) | ~ (c_Polynomial_Ocoeff(v2, v0) = v3) | ~ class_Groups_Ozero(v2) | c_Polynomial_OpCons(v2, v1, v0) = v5)
% 37.68/9.78 | (255) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v0, v1) = v3)
% 37.68/9.78 | (256) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v2) = v6 & c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v8, v5) = v9 & hAPP(v7, v1) = v8 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v5, v9))))
% 37.68/9.78 | (257) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1))
% 37.68/9.78 | (258) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Oordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v2, v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0))))
% 37.68/9.78 | (259) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_8_8, v1) = v4))
% 37.68/9.78 | (260) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_8_8, v1) = v5))
% 37.68/9.78 | (261) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Oone__class_Oone(v0) = v2 & ~ c_Orderings_Oord__class_Oless__eq(v0, v2, v1)))
% 37.68/9.78 | (262) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5))
% 37.68/9.78 | (263) ! [v0] : ! [v1] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1))
% 37.68/9.78 | (264) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 37.68/9.78 | (265) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Groups_Oplus__class_Oplus(v5, v2, v0) = v8) | ~ class_Divides_Osemiring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v12, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v11 & c_Groups_Oplus__class_Oplus(v5, v4, v1) = v12 & ( ~ (v11 = v7) | ~ (v10 = v6) | v13 = v9)))
% 37.68/9.78 | (266) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (c_Polynomial_Odegree(v2, v10) = v11) | ~ (c_Polynomial_OpCons(v2, v5, v6) = v7) | ~ (c_Polynomial_OpCons(v2, v1, v7) = v8) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v6) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v4, v8) = v9) | ~ class_Rings_Ocomm__semiring__1(v2))
% 37.68/9.78 | (267) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))
% 37.68/9.78 | (268) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__comm__monoid__add(v1))
% 37.68/9.78 | (269) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))
% 37.68/9.78 | (270) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Opoly(v3, v2) = v5) | ~ (c_Polynomial_Opoly(v3, v1) = v8) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v7, v9) = v10) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_Groups_Otimes__class_Otimes(v11) = v12 & c_Polynomial_Opoly(v3, v14) = v15 & tc_Polynomial_Opoly(v3) = v11 & hAPP(v15, v0) = v10 & hAPP(v13, v1) = v14 & hAPP(v12, v2) = v13))
% 37.68/9.78 | (271) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v8, v9) = v10) | ~ (hAPP(v7, v1) = v9) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v7, v0) = v12 & hAPP(v6, v1) = v11 & ( ~ (v13 = v10) | v3 = v2 | v1 = v0) & (v13 = v10 | ( ~ (v3 = v2) & ~ (v1 = v0)))))
% 37.68/9.78 | (272) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v1, v0))
% 37.68/9.78 | (273) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__ring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))))
% 37.68/9.78 | (274) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__semigroup__add(v1))
% 37.68/9.78 | (275) class_Rings_Ocomm__semiring__0(t_a)
% 37.68/9.78 | (276) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6))
% 37.68/9.78 | (277) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_15_15, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 37.68/9.78 | (278) ? [v0] : ! [v1] : ( ~ class_Orderings_Oorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 37.68/9.78 | (279) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Power_Opower__class_Opower(v6) = v7 & c_Polynomial_Odegree(v2, v9) = v10 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v9 & hAPP(v7, v1) = v8 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v10, v5)))
% 37.68/9.78 | (280) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | ? [v3] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3 & (v3 = v2 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, all_0_6_6))))
% 37.68/9.78 | (281) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(v3, v8, v9) = v7 & hAPP(v5, v1) = v8 & hAPP(v5, v0) = v9))
% 37.68/9.78 | (282) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (c_Polynomial_Omonom(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Polynomial_Omonom(v2, v6, v0) = v5))
% 37.68/9.78 | (283) ? [v0] : ! [v1] : ! [v2] : ( ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Fields_Ofield(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v2) = v3 & c_Polynomial_Opdivmod__rel(v1, v3, v0, v3, v3)))
% 37.68/9.78 | (284) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0)))
% 37.68/9.78 | (285) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_6_6, v0) = v1))
% 37.68/9.78 | (286) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Olinordered__ab__group__add(v1))
% 37.68/9.78 | (287) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_0_16_16) = v1))
% 37.68/9.78 | (288) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v0)
% 37.68/9.78 | (289) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Lattices_Oab__semigroup__idem__mult(v2))
% 37.68/9.78 | (290) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v2) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v0) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ class_Rings_Oordered__ring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v4) = v14 & ( ~ c_Orderings_Oord__class_Oless(v5, v16, v9) | c_Orderings_Oord__class_Oless(v5, v13, v0)) & ( ~ c_Orderings_Oord__class_Oless(v5, v13, v0) | c_Orderings_Oord__class_Oless(v5, v16, v9))))
% 37.89/9.78 | (291) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v0) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v8 & c_Polynomial_Osmult(v3, v8, v0) = v7))
% 37.89/9.78 | (292) ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_4_4, v0) = v1))
% 37.89/9.78 | (293) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_HOL_Oequal__class_Oequal(v1) = v2) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_HOL_Oequal(v0) | ~ class_Groups_Ozero(v0) | hBOOL(v5))
% 37.89/9.78 | (294) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = all_0_16_16) | ? [v2] : ( ~ (v2 = all_0_16_16) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2))
% 37.89/9.78 | (295) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_HOL_Obool_Obool__size(v2) = v1) | ~ (c_HOL_Obool_Obool__size(v2) = v0))
% 37.89/9.78 | (296) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Polynomial_Osmult(v2, v3, v0) = v4) | ~ class_Rings_Ocomm__ring(v2) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v5, v6) = v4 & c_Polynomial_Osmult(v2, v1, v0) = v6 & tc_Polynomial_Opoly(v2) = v5))
% 37.89/9.78 | (297) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v5, v6))
% 37.89/9.79 | (298) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring(v1) | c_Groups_Ozero__class_Ozero(v1) = v0)
% 37.89/9.79 | (299) class_Orderings_Olinorder(tc_Int_Oint)
% 37.89/9.79 | (300) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_16_16 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_10_10, v2) = v3) | ~ (hAPP(all_0_10_10, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0))
% 37.89/9.79 | (301) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_8_8, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2) | ? [v8] : (hAPP(v4, v3) = v8 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v7, v8)))
% 37.89/9.79 | (302) class_Orderings_Olinorder(tc_Nat_Onat)
% 37.89/9.79 | (303) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v3))
% 37.89/9.79 | (304) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Olinordered__semiring__strict(v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | c_Orderings_Oord__class_Oless(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless(v4, v10, v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1))))
% 37.89/9.79 | (305) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))
% 37.89/9.79 | (306) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ hBOOL(v2) | ? [v3] : ? [v4] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, all_0_16_16) = v3 & hAPP(v1, v3) = v4 & hBOOL(v4)))
% 37.89/9.79 | (307) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_16_16 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_9_9, v1) = v3) | ~ (hAPP(all_0_9_9, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6))
% 37.89/9.79 | (308) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_16_16 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_9_9, v1) = v3) | ~ (hAPP(all_0_9_9, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0))
% 37.89/9.79 | (309) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oidom(v2) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v0) = v7 & ( ~ (v8 = v5) | v6 = v1 | v1 = v0) & (v8 = v5 | ( ~ (v6 = v1) & ~ (v1 = v0)))))
% 37.89/9.79 | (310) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_9_9, v4) = v5) | ~ (hAPP(all_0_9_9, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_15_15, v1) = v7))
% 37.89/9.79 | (311) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v2, v3))))
% 37.89/9.79 | (312) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oordered__ring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v9, v12) | c_Orderings_Oord__class_Oless__eq(v5, v2, v16)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v16) | c_Orderings_Oord__class_Oless__eq(v5, v9, v12))))
% 37.89/9.79 | (313) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v6, v1) = v7))
% 37.89/9.79 | (314) class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint)
% 37.89/9.79 | (315) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__ring(v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & ~ c_Orderings_Oord__class_Oless(v1, v4, v5)))
% 37.89/9.79 | (316) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (c_Polynomial_Opoly(v2, v0) = v3) | ~ class_Int_Oring__char__0(v2) | ~ class_Rings_Oidom(v2))
% 37.89/9.79 | (317) ! [v0] : (v0 = all_0_16_16 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_0_16_16))
% 37.89/9.79 | (318) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v0) = v8) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v3, v10, v0) = v8 & hAPP(v9, v1) = v10 & hAPP(v4, v2) = v9))
% 37.89/9.79 | (319) c_Groups_Ozero__class_Ozero(all_0_3_3) = all_0_2_2
% 37.89/9.79 | (320) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_6_6 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v5))
% 37.89/9.79 | (321) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_6_6 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0))
% 37.89/9.79 | (322) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 37.89/9.79 | (323) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0))
% 37.89/9.79 | (324) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v1, v2) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & ( ~ c_Rings_Odvd__class_Odvd(v5, v0, v2) | c_Rings_Odvd__class_Odvd(v5, v0, v4))))
% 37.89/9.79 | (325) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & hAPP(v7, v0) = v8 & hAPP(v3, v1) = v7))
% 37.89/9.79 | (326) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1))
% 37.89/9.79 | (327) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))
% 37.89/9.79 | (328) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Odivision__ring__inverse__zero(v2) | ? [v7] : ? [v8] : (c_Rings_Oinverse__class_Oinverse(v2, v8) = v6 & hAPP(v7, v0) = v8 & hAPP(v3, v1) = v7))
% 37.89/9.79 | (329) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v5) | ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_15_15, v8) = v9))
% 37.89/9.79 | (330) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 37.89/9.79 | (331) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__comm__semiring__strict(v1))
% 37.89/9.79 | (332) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v1, v5) = v6) | ~ (c_Polynomial_Osmult(v2, v0, v4) = v5) | ~ (c_Polynomial_Osynthetic__div(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v7] : ? [v8] : (c_Polynomial_Opoly(v2, v1) = v7 & c_Polynomial_OpCons(v2, v8, v4) = v6 & hAPP(v7, v0) = v8))
% 37.89/9.79 | (333) ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Odivision__ring(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1)
% 37.89/9.79 | (334) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v0) = v8) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v9] : (c_Divides_Odiv__class_Omod(v3, v9, v0) = v8 & hAPP(v5, v1) = v9))
% 37.89/9.79 | (335) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__add(v0))
% 37.89/9.79 | (336) class_Enum_Oenum(tc_HOL_Obool)
% 37.89/9.79 | (337) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2))
% 37.89/9.79 | (338) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | c_Divides_Odiv__class_Omod(v3, v1, v0) = v5)
% 37.89/9.79 | (339) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_8_8, v1) = v2) | ? [v4] : (hAPP(v4, v1) = v3 & hAPP(all_0_8_8, v0) = v4))
% 37.89/9.80 | (340) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 37.89/9.80 | (341) class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat)
% 37.89/9.80 | (342) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Otimes__class_Otimes(v8) = v9) | ~ (c_Groups_Oplus__class_Oplus(v8, v12, v3) = v13) | ~ (tc_Polynomial_Opoly(v7) = v8) | ~ (hAPP(v10, v2) = v11) | ~ (hAPP(v10, v0) = v12) | ~ (hAPP(v9, v5) = v10) | ~ c_Polynomial_Opdivmod__rel(v7, v6, v5, v4, v3) | ~ c_Polynomial_Opdivmod__rel(v7, v4, v2, v1, v0) | ~ class_Fields_Ofield(v7) | c_Polynomial_Opdivmod__rel(v7, v6, v11, v1, v13))
% 37.89/9.80 | (343) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ class_Divides_Osemiring__div(v5) | ? [v8] : ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v5, v10, v3) = v9 & c_Divides_Odiv__class_Omod(v5, v8, v3) = v9 & c_Groups_Oplus__class_Oplus(v5, v4, v1) = v8 & c_Groups_Oplus__class_Oplus(v5, v2, v0) = v10))
% 37.89/9.80 | (344) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 37.89/9.80 | (345) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v1) | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v0))
% 37.89/9.80 | (346) class_Orderings_Oord(tc_Int_Oint)
% 37.89/9.80 | (347) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring__0(v1))
% 37.89/9.80 | (348) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5))
% 37.89/9.80 | (349) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0))
% 37.89/9.80 | (350) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v7] : (c_Groups_Oone__class_Oone(v2) = v7 & ( ~ c_Orderings_Oord__class_Oless(v2, v7, v1) | c_Orderings_Oord__class_Oless(v2, v7, v6))))
% 37.89/9.80 | (351) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v6, v8, v9) = v5 & c_Polynomial_Osmult(v3, v0, v7) = v8 & c_Polynomial_OpCons(v3, v2, v7) = v9 & tc_Polynomial_Opoly(v3) = v6 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v1, v0) = v7))
% 37.89/9.80 | (352) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__ring(v1))
% 37.89/9.80 | (353) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3))
% 37.89/9.80 | (354) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v5)
% 37.89/9.80 | (355) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_HOL_Oequal__class_Oequal(v2) = v1) | ~ (c_HOL_Oequal__class_Oequal(v2) = v0))
% 37.89/9.80 | (356) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Ogroup__add(v1))
% 37.89/9.80 | (357) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4))
% 37.89/9.80 | (358) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 37.89/9.80 | (359) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Oorder(v1))
% 37.89/9.80 | (360) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oring__no__zero__divisors(v1))
% 37.89/9.80 | (361) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Osmult(v2, v1, v0) = v3) | ~ class_Rings_Oidom(v2) | ? [v4] : ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v5 = v3) | v6 = v1 | v3 = v0) & (v5 = v3 | ( ~ (v6 = v1) & ~ (v5 = v0)))))
% 37.89/9.80 | (362) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ono__zero__divisors(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | v5 = v1 | v5 = v0)))
% 37.89/9.80 | (363) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ? [v3] : (c_Nat_OSuc(v2) = v3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)))
% 37.89/9.80 | (364) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v1) | ~ (v5 = v0) | v3 = v0) & ( ~ (v5 = v3) | (v6 = v1 & v3 = v0))))
% 37.89/9.80 | (365) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v7) = v8) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v11] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v11 & hAPP(v6, v11) = v10))
% 37.89/9.80 | (366) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v3))
% 37.89/9.80 | (367) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v4, v5) = v6) | ~ (c_Groups_Oone__class_Oone(v1) = v5) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Oring__1(v1) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(v1, v0, v5) = v9 & c_Groups_Oplus__class_Oplus(v1, v0, v5) = v7 & hAPP(v8, v9) = v6 & hAPP(v2, v7) = v8))
% 37.89/9.80 | (368) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Fields_Ofield__inverse__zero(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1)
% 37.89/9.80 | (369) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Oord(v1))
% 37.89/9.80 | (370) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v7) | ~ (c_Groups_Ominus__class_Ominus(v4, v2, v0) = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v12, v13) = v14) | ~ (c_Groups_Oplus__class_Oplus(v4, v10, v11) = v12) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v8, v0) = v11) | ~ (hAPP(v6, v9) = v13) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ class_RealVector_Oreal__normed__algebra(v4) | ? [v15] : ? [v16] : ? [v17] : (c_Groups_Ominus__class_Ominus(v4, v16, v17) = v14 & hAPP(v15, v2) = v16 & hAPP(v6, v0) = v17 & hAPP(v5, v3) = v15))
% 37.89/9.80 | (371) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Rings_Oinverse__class_Oinverse(v0, v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Odivision__ring__inverse__zero(v0))
% 37.89/9.80 | (372) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Otimes__class_Otimes(v3) = v8 & hAPP(v10, v11) = v7 & hAPP(v8, v9) = v10 & hAPP(v5, v1) = v9 & hAPP(v5, v0) = v11))
% 37.89/9.80 | (373) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))
% 37.89/9.80 | (374) ! [v0] : ! [v1] : (v1 = all_0_13_13 | ~ (hAPP(all_0_7_7, v0) = v1))
% 37.89/9.80 | (375) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v7) = v8) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (hAPP(v13, v0) = v14 & hAPP(v12, v14) = v9 & hAPP(v10, v0) = v11 & hAPP(v5, v11) = v12 & hAPP(v4, v2) = v10 & hAPP(v4, v1) = v13))
% 37.89/9.80 | (376) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v0, v1) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v4, v0, v1) = v6 & c_Polynomial_Opoly__gcd(v2, v1, v6) = v7 & tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & (v7 = v3 | v5 = v1)))
% 37.89/9.80 | (377) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2)
% 37.89/9.80 | (378) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2)
% 37.89/9.80 | (379) ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v0) = v2 & c_Orderings_Oord__class_Oless(v0, v2, v1)))
% 37.89/9.80 | (380) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 37.89/9.80 | (381) ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v0) = v1))
% 37.89/9.80 | (382) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1) | ? [v4] : (c_Rings_Oinverse__class_Oinverse(v1, v0) = v4 & c_Groups_Ouminus__class_Ouminus(v1, v4) = v3))
% 37.89/9.80 | (383) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = all_0_16_16 | ~ (c_Polynomial_Odegree(v1, v4) = v5) | ~ (c_Polynomial_OpCons(v1, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ozero(v1))
% 37.89/9.80 | (384) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_15_15, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3) | ? [v8] : (hAPP(v4, v3) = v8 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v7, v8)))
% 37.89/9.81 | (385) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Rings_Oinverse__class_Oinverse(v0, v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Fields_Ofield__inverse__zero(v0))
% 37.89/9.81 | (386) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3))
% 37.89/9.81 | (387) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Oidom(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v7 & c_Groups_Oone__class_Oone(v2) = v8 & c_Polynomial_OpCons(v2, v8, v9) = v10 & c_Polynomial_OpCons(v2, v7, v10) = v11 & tc_Polynomial_Opoly(v2) = v6 & c_Groups_Ozero__class_Ozero(v6) = v9 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ (v5 = v4) | c_Rings_Odvd__class_Odvd(v6, v11, v1)) & (v5 = v4 | ~ c_Rings_Odvd__class_Odvd(v6, v11, v1))))
% 37.89/9.81 | (388) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v3) | ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v5) = v4))
% 37.89/9.81 | (389) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v1, v6) = v5))
% 37.89/9.81 | (390) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Nat_Osize__class_Osize(v3, v2) = v1) | ~ (c_Nat_Osize__class_Osize(v3, v2) = v0))
% 37.89/9.81 | (391) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ? [v4] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4 & c_Groups_Oplus__class_Oplus(v2, v1, v4) = v3))
% 37.89/9.81 | (392) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Oab__group__add(v1))
% 37.89/9.81 | (393) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_16_16 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : ? [v5] : ( ~ (v5 = v0) & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v5))
% 37.89/9.81 | (394) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_6_6 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))))
% 37.89/9.81 | (395) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_13_13 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1))
% 37.89/9.81 | (396) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4 & c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v1) = v3))
% 37.89/9.81 | (397) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Oorder(v2, v0, v1) = v3) | ~ class_Rings_Oidom(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Opoly(v2, v1) = v4 & tc_Polynomial_Opoly(v2) = v7 & c_Groups_Ozero__class_Ozero(v7) = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v4, v0) = v5 & ( ~ (v6 = v5) | ~ (v3 = all_0_16_16) | v8 = v1) & (v6 = v5 | (v3 = all_0_16_16 & ~ (v8 = v1)))))
% 37.89/9.81 | (398) class_Rings_Olinordered__idom(tc_Int_Oint)
% 37.89/9.81 | (399) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2))
% 37.89/9.81 | (400) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v4, v3, v2) = v1) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v4, v3, v2) = v0))
% 37.89/9.81 | (401) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Odivision__ring(v1) | ? [v4] : ? [v5] : ? [v6] : (c_Rings_Oinverse__class_Oinverse(v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v1, v5) = v6 & c_Groups_Ozero__class_Ozero(v1) = v4 & (v6 = v3 | v4 = v0)))
% 37.89/9.81 | (402) ! [v0] : ! [v1] : (v1 = all_0_16_16 | v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_13_13))
% 37.89/9.81 | (403) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__strict(v1))
% 37.89/9.81 | (404) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v4, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v6, v0) = v5 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v6))
% 37.89/9.81 | (405) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ? [v7] : ? [v8] : (c_Groups_Oone__class_Oone(v2) = v8 & c_Groups_Ozero__class_Ozero(v2) = v7 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v7, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v8))))
% 37.89/9.81 | (406) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v6, v1) = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v5) | ~ (c_Nat_OSuc(v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v8] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v8, v1) = v7 & c_Nat_OSuc(v0) = v8))
% 37.89/9.81 | (407) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_13_13) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v7) = v8) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ class_Groups_Omonoid__mult(v2) | hAPP(v5, v1) = v9)
% 37.89/9.81 | (408) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__idom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v7))))
% 37.89/9.81 | (409) class_Orderings_Oorder(tc_Int_Oint)
% 37.89/9.81 | (410) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2)
% 37.89/9.81 | (411) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2)
% 37.89/9.81 | (412) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & hAPP(v1, v2) = v3 & hAPP(v0, v2) = v4))
% 37.89/9.81 | (413) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v7, v9) = v10) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_Rings_Oring(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v13 & c_Groups_Ominus__class_Ominus(v4, v2, v0) = v11 & c_Groups_Oplus__class_Oplus(v4, v12, v15) = v10 & hAPP(v14, v0) = v15 & hAPP(v6, v11) = v12 & hAPP(v5, v13) = v14))
% 37.89/9.81 | (414) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ (c_Groups_Ozero__class_Ozero(v2) = v0))
% 37.89/9.81 | (415) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v6, v8))
% 37.89/9.81 | (416) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0))
% 37.89/9.81 | (417) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & ( ~ (v5 = v3) | (v3 = v0 & v1 = v0)) & ( ~ (v5 = v0) | ~ (v1 = v0) | v3 = v0)))
% 37.89/9.81 | (418) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))
% 37.89/9.81 | (419) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)
% 37.89/9.81 | (420) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v5))
% 37.89/9.81 | (421) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v5) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1))
% 37.89/9.81 | (422) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_5_5, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_0_6_6))
% 37.89/9.81 | (423) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_5_5, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6))
% 37.89/9.81 | (424) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v8, v9) = v7 & hAPP(v5, v1) = v8 & hAPP(v5, v0) = v9))
% 37.89/9.81 | (425) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v6) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Odivision__ring(v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Rings_Oinverse__class_Oinverse(v2, v10) = v11 & c_Groups_Ozero__class_Ozero(v2) = v8 & hAPP(v9, v0) = v10 & hAPP(v3, v1) = v9 & (v11 = v7 | v8 = v1 | v8 = v0)))
% 37.89/9.81 | (426) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring(v0) | class_Rings_Oring(v1))
% 37.89/9.81 | (427) c_HOL_Obool_Obool__size(c_fTrue) = all_0_16_16
% 37.89/9.81 | (428) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v3) = v1) | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))
% 37.89/9.81 | (429) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4))
% 37.89/9.81 | (430) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v7) = v8) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : (c_Polynomial_Osmult(v3, v1, v0) = v9 & hAPP(v6, v9) = v8))
% 37.89/9.81 | (431) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 37.89/9.82 | (432) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3))
% 37.89/9.82 | (433) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ (c_Polynomial_OpCons(v4, v3, v2) = v6) | ~ (c_Polynomial_OpCons(v4, v1, v0) = v7) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ class_Groups_Ocomm__monoid__add(v4) | ? [v9] : ? [v10] : (c_Groups_Oplus__class_Oplus(v5, v2, v0) = v10 & c_Groups_Oplus__class_Oplus(v4, v3, v1) = v9 & c_Polynomial_OpCons(v4, v9, v10) = v8))
% 37.89/9.82 | (434) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Oordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 37.89/9.82 | (435) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v6) | ~ (hAPP(v4, v1) = v9) | ~ class_Groups_Ocomm__monoid__mult(v3) | ? [v12] : ? [v13] : ? [v14] : (hAPP(v14, v0) = v11 & hAPP(v12, v1) = v13 & hAPP(v5, v2) = v12 & hAPP(v4, v13) = v14))
% 37.89/9.82 | (436) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v0) = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(all_0_15_15, v4) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v11, v0) = v12 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v9, v12) = v7 & hAPP(v10, v2) = v11 & hAPP(v8, v2) = v9 & hAPP(all_0_15_15, v3) = v8 & hAPP(all_0_15_15, v1) = v10))
% 37.89/9.82 | (437) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v3) | ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v5, v0) = v4 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v5))
% 37.89/9.82 | (438) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Odegree(v3, v2) = v1) | ~ (c_Polynomial_Odegree(v3, v2) = v0))
% 37.89/9.82 | (439) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v1) | c_Groups_Ozero__class_Ozero(v1) = v5)
% 37.89/9.82 | (440) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2))
% 37.89/9.82 | (441) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v0) = v4) | ~ (c_Polynomial_Opoly__gcd(v3, v1, v4) = v5) | ~ class_Fields_Ofield(v3) | ? [v6] : (c_Polynomial_Opoly__gcd(v3, v2, v6) = v5 & c_Polynomial_Opoly__gcd(v3, v1, v0) = v6))
% 37.89/9.82 | (442) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v1))
% 37.89/9.82 | (443) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : ? [v3] : (c_Groups_Oone__class_Oone(v0) = v2 & c_Groups_Oplus__class_Oplus(v0, v2, v2) = v3 & c_Orderings_Oord__class_Oless(v0, v1, v3)))
% 37.89/9.82 | (444) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v8) = v9) | ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v10] : ? [v11] : (c_Polynomial_Opoly(v3, v10) = v11 & c_Polynomial_OpCons(v3, v2, v1) = v10 & hAPP(v11, v0) = v9))
% 37.89/9.82 | (445) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_6_6 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ? [v5] : ? [v6] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))
% 37.89/9.82 | (446) class_Rings_Ozero__neq__one(tc_Int_Oint)
% 37.89/9.82 | (447) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ class_Groups_Omonoid__mult(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_13_13) = v7 & c_Groups_Otimes__class_Otimes(v2) = v6 & hAPP(v9, v0) = v5 & hAPP(v6, v8) = v9 & hAPP(v4, v7) = v8))
% 37.89/9.82 | (448) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4))
% 37.89/9.82 | (449) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v6))
% 37.89/9.82 | (450) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opcompose(v3, v4, v0) = v5) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Otimes__class_Otimes(v6) = v9 & c_Groups_Oplus__class_Oplus(v6, v8, v12) = v5 & c_Polynomial_Opcompose(v3, v1, v0) = v11 & c_Polynomial_OpCons(v3, v2, v7) = v8 & tc_Polynomial_Opoly(v3) = v6 & c_Groups_Ozero__class_Ozero(v6) = v7 & hAPP(v10, v11) = v12 & hAPP(v9, v0) = v10))
% 37.89/9.82 | (451) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_16_16 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 37.89/9.82 | (452) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v5, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v6)
% 37.89/9.82 | (453) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Omonoid__add(v0))
% 37.89/9.82 | (454) class_Orderings_Opreorder(tc_Nat_Onat)
% 37.89/9.82 | (455) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v8, v0) = v10) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : (hAPP(v9, v0) = v12 & hAPP(v8, v12) = v11))
% 37.89/9.82 | (456) class_Groups_Oab__semigroup__add(tc_Int_Oint)
% 37.89/9.82 | (457) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Opreorder(v1))
% 37.89/9.82 | (458) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v4 & c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | ~ c_Orderings_Oord__class_Oless(v1, v0, v4) | c_Orderings_Oord__class_Oless(v1, v4, v2))))
% 37.89/9.82 | (459) ! [v0] : ! [v1] : (v1 = all_0_13_13 | v0 = all_0_13_13 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_13_13))
% 37.89/9.82 | (460) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v5) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5))
% 37.89/9.82 | (461) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Ozero(v1) | ? [v5] : ? [v6] : ? [v7] : (tc_Polynomial_Opoly(v1) = v6 & c_Groups_Ozero__class_Ozero(v6) = v7 & c_Groups_Ozero__class_Ozero(v1) = v5 & ( ~ (v7 = v0) | v5 = v4) & ( ~ (v5 = v4) | v7 = v0)))
% 37.89/9.82 | (462) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_15_15, v3) = v4))
% 37.89/9.82 | (463) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (c_Polynomial_Opcompose(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : (c_Polynomial_Opoly(v3, v2) = v7 & c_Polynomial_Opoly(v3, v1) = v8 & hAPP(v8, v0) = v9 & hAPP(v7, v9) = v6))
% 37.89/9.82 | (464) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Oone__class_Oone(v0) = v2 & c_Orderings_Oord__class_Oless(v0, v1, v2)))
% 37.89/9.82 | (465) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_If(v5, v4, v3, v2) = v1) | ~ (c_If(v5, v4, v3, v2) = v0))
% 37.89/9.82 | (466) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v2))
% 37.89/9.82 | (467) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v2) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0))
% 37.89/9.82 | (468) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring__0(v0))
% 37.89/9.82 | (469) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v4] : (c_Groups_Oone__class_Oone(v1) = v4 & hAPP(v3, all_0_16_16) = v4))
% 37.89/9.82 | (470) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 37.89/9.82 | (471) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v1, v0) = v5)
% 37.89/9.82 | (472) ! [v0] : (v0 = all_0_13_13 | ~ (hAPP(all_0_12_12, all_0_13_13) = v0))
% 37.89/9.82 | (473) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v0) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v8) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ (hAPP(all_0_15_15, v1) = v6) | ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v12, v0) = v9 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v10 & hAPP(v11, v2) = v12 & hAPP(all_0_15_15, v10) = v11))
% 37.89/9.82 | (474) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Odivision__ring(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Rings_Oinverse__class_Oinverse(v2, v9) = v10 & c_Groups_Ozero__class_Ozero(v2) = v7 & hAPP(v8, v0) = v9 & hAPP(v3, v1) = v8 & (v10 = v6 | v7 = v1)))
% 37.89/9.82 | (475) class_Rings_Ocomm__semiring(tc_Nat_Onat)
% 37.89/9.82 | (476) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3))
% 37.89/9.82 | (477) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 37.89/9.82 | (478) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2))
% 37.89/9.83 | (479) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(v4, v1) = v9))
% 37.89/9.83 | (480) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ocomm__monoid__add(v1))
% 37.89/9.83 | (481) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Olinorder(v1))
% 37.89/9.83 | (482) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_15_15, v1) = v2) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v5) = v4 & hAPP(v2, v0) = v5))
% 37.89/9.83 | (483) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3))
% 37.89/9.83 | (484) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__1(v1))
% 37.89/9.83 | (485) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring(v0) | class_Rings_Ocomm__ring(v1))
% 37.89/9.83 | (486) class_Rings_Olinordered__semiring(tc_Nat_Onat)
% 37.89/9.83 | (487) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v2] : ? [v3] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3 & c_Nat_OSuc(v3) = v0))
% 37.89/9.83 | (488) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 37.89/9.83 | (489) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : (tc_Polynomial_Opoly(v2) = v4 & c_Rings_Odvd__class_Odvd(v4, v3, v1)))
% 37.89/9.83 | (490) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : (tc_Polynomial_Opoly(v2) = v4 & c_Rings_Odvd__class_Odvd(v4, v3, v0)))
% 37.89/9.83 | (491) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : ? [v6] : ? [v7] : (tc_Polynomial_Opoly(v3) = v5 & c_Groups_Ozero__class_Ozero(v5) = v7 & c_Groups_Ozero__class_Ozero(v3) = v6 & ( ~ c_Rings_Odvd__class_Odvd(v5, v4, v0) | (( ~ (v6 = v2) | v7 = v0) & (v6 = v2 | c_Rings_Odvd__class_Odvd(v5, v1, v0)))) & (c_Rings_Odvd__class_Odvd(v5, v4, v0) | (v6 = v2 & ~ (v7 = v0)) | ( ~ (v6 = v2) & ~ c_Rings_Odvd__class_Odvd(v5, v1, v0)))))
% 37.89/9.83 | (492) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_15_15, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 37.89/9.83 | (493) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ hBOOL(v4) | ? [v5] : ? [v6] : (hAPP(v2, v1) = v5 & hAPP(all_0_15_15, v0) = v6 & ( ~ (v0 = all_0_16_16) | hBOOL(v5)) & (v0 = all_0_16_16 | ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v9, v8) = v1) | ~ (hAPP(v6, v7) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v8, v0) | ? [v10] : (hAPP(v2, v8) = v10 & hBOOL(v10))))))
% 37.89/9.83 | (494) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v8) = v9) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11))
% 37.89/9.83 | (495) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v6, v0) | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 37.89/9.83 | (496) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_0_13_13
% 37.89/9.83 | (497) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v6, v3) = v7) | ~ (c_Groups_Oplus__class_Oplus(v5, v4, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v2, v0) = v8) | ~ class_Divides_Osemiring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v4, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v11 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v12 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v13 & ( ~ (v13 = v12) | ~ (v11 = v10))))
% 37.89/9.83 | (498) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v8 & hAPP(v7, v8) = v5 & hAPP(v3, v6) = v7))
% 37.89/9.83 | (499) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__ring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v8)))
% 37.89/9.83 | (500) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, all_0_5_5)
% 37.89/9.83 | (501) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v2) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v0) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_6_6) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0))
% 37.89/9.83 | (502) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Polynomial_Opoly(v1, v0) = v2) | ~ class_Int_Oring__char__0(v1) | ~ class_Rings_Oidom(v1) | ? [v3] : ? [v4] : ? [v5] : (c_Polynomial_Opoly(v1, v4) = v5 & tc_Polynomial_Opoly(v1) = v3 & c_Groups_Ozero__class_Ozero(v3) = v4 & ( ~ (v5 = v2) | v4 = v0) & ( ~ (v4 = v0) | v5 = v2)))
% 37.89/9.83 | (503) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v4, v1) = v5) | ~ (c_Divides_Odiv__class_Omod(v3, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v4) | ~ class_Divides_Oring__div(v3) | ? [v7] : (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v7 & c_Divides_Odiv__class_Omod(v3, v7, v0) = v6))
% 37.89/9.83 | (504) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ (hAPP(all_0_15_15, v2) = v6) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v7))
% 37.89/9.83 | (505) class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint)
% 37.89/9.83 | (506) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v0, v5)))
% 37.89/9.83 | (507) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Rings_Odivision__ring(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Otimes__class_Otimes(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v9 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v11, v4) = v12 & hAPP(v8, v9) = v10 & hAPP(v7, v10) = v11 & hAPP(v7, v3) = v8 & (v12 = v5 | v6 = v1 | v6 = v0)))
% 37.89/9.83 | (508) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (c_Polynomial_Opoly(v3, v1) = v5) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : ? [v9] : (c_Polynomial_Opoly(v3, v8) = v9 & c_Polynomial_Opcompose(v3, v2, v1) = v8 & hAPP(v9, v0) = v7))
% 37.89/9.83 | (509) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v4) | ~ (hAPP(all_0_15_15, v0) = v2))
% 37.89/9.83 | (510) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_0_15_15
% 37.89/9.83 | (511) ? [v0] : ! [v1] : ( ~ class_Orderings_Olinorder(v1) | c_Orderings_Oord__class_Oless(v1, v0, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 37.89/9.83 | (512) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v1 | ~ c_Polynomial_Opdivmod__rel(v6, v5, v4, v3, v2) | ~ c_Polynomial_Opdivmod__rel(v6, v5, v4, v1, v0) | ~ class_Fields_Ofield(v6))
% 37.89/9.83 | (513) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v1) | ~ (c_Polynomial_OpCons(v4, v3, v2) = v0))
% 37.89/9.83 | (514) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v0, v1) = v3) | ~ class_Divides_Osemiring__div(v2) | ? [v4] : (c_Divides_Odiv__class_Omod(v2, v4, v1) = v3 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4))
% 37.89/9.83 | (515) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : (c_Nat_Onat_Onat__case(v2, v1, v5) = v4 & c_Polynomial_Ocoeff(v2, v0) = v5))
% 37.89/9.83 | (516) ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_6_6) | ? [v2] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v2) = all_0_6_6 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2))
% 37.89/9.83 | (517) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))
% 37.89/9.83 | (518) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v6, v7))
% 37.89/9.83 | (519) class_Groups_Olinordered__ab__group__add(tc_Int_Oint)
% 37.89/9.83 | (520) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v0) | ~ (v1 = v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v8)) & (c_Orderings_Oord__class_Oless(v2, v9, v8) | (v9 = v0 & v1 = v0))))
% 37.89/9.83 | (521) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6))
% 37.89/9.83 | (522) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Odivision__ring(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v8 & c_Groups_Ozero__class_Ozero(v2) = v7 & hAPP(v9, v0) = v10 & hAPP(v3, v8) = v9 & (v10 = v6 | v7 = v1)))
% 37.89/9.84 | (523) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6) | c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 37.89/9.84 | (524) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1))
% 37.89/9.84 | (525) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Olinorder(v1) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 37.89/9.84 | (526) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6))
% 37.89/9.84 | (527) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 37.89/9.84 | (528) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : (c_Divides_Odiv__class_Omod(v3, v1, v0) = v6 & c_Groups_Ouminus__class_Ouminus(v3, v6) = v5))
% 37.89/9.84 | (529) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2) | c_Divides_Odiv__class_Omod(v2, v3, v0) = v3)
% 37.89/9.84 | (530) class_Rings_Oring(tc_Int_Oint)
% 37.89/9.84 | (531) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v0) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : (c_Polynomial_Osmult(v3, v1, v9) = v8 & hAPP(v6, v0) = v9))
% 37.89/9.84 | (532) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__ring(v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & c_Orderings_Oord__class_Oless__eq(v1, v5, v4)))
% 37.89/9.84 | (533) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Divides_Odiv__class_Omod(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Divides_Osemiring__div(v1))
% 37.89/9.84 | (534) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Olinordered__semiring__strict(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1))))
% 37.89/9.84 | (535) ! [v0] : ! [v1] : ( ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ class_Power_Opower(v0) | ? [v2] : ? [v3] : (c_Power_Opower_Opower(v0, v2, v3) = v1 & c_Groups_Oone__class_Oone(v0) = v2 & c_Groups_Otimes__class_Otimes(v0) = v3))
% 37.89/9.84 | (536) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 37.89/9.84 | (537) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Oordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0)))
% 37.89/9.84 | (538) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v3) = v9 & c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v9))))
% 37.89/9.84 | (539) class_Rings_Oordered__comm__semiring(tc_Int_Oint)
% 37.89/9.84 | (540) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v0, v8)))
% 37.89/9.84 | (541) class_Groups_Ouminus(tc_HOL_Obool)
% 37.89/9.84 | (542) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(c_fequal, v1) = v2) | ~ hBOOL(v3))
% 37.89/9.84 | (543) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (c_If(v4, v11, v3, v12) = v13) | ~ (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v0) = v12) | ~ (tc_Polynomial_Opoly(v5) = v9) | ~ (c_Groups_Ozero__class_Ozero(v9) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v7, v13) = v14) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v2, v1) = v6) | ~ (hAPP(c_fequal, v0) = v8) | ~ class_Groups_Ozero(v5) | ? [v15] : (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v15) = v14 & c_Polynomial_OpCons(v5, v1, v0) = v15))
% 37.89/9.84 | (544) hBOOL(c_fTrue)
% 37.89/9.84 | (545) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 37.89/9.84 | (546) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 37.89/9.84 | (547) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_HOL_Oequal(v0) | ~ class_Groups_Ozero(v0) | class_HOL_Oequal(v1))
% 37.89/9.84 | (548) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v2, v4, v0) = v5) | ~ (c_Divides_Odiv__class_Omod(v2, v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v3) = v4) | ~ class_Divides_Oring__div(v2) | ? [v6] : (c_Divides_Odiv__class_Omod(v2, v6, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v1) = v6))
% 37.89/9.84 | (549) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4))
% 37.89/9.84 | (550) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_13_13, v0) = v1)
% 37.89/9.84 | (551) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_13_13, v0) = v1) | c_Nat_OSuc(v0) = v1)
% 37.89/9.84 | (552) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Ono__zero__divisors(v1))
% 37.89/9.84 | (553) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_8_8, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v9) = v5 & hAPP(v8, v0) = v9 & hAPP(v6, v0) = v7 & hAPP(all_0_8_8, v2) = v6 & hAPP(all_0_8_8, v1) = v8))
% 37.89/9.84 | (554) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Omonoid__add(v1))
% 37.89/9.84 | (555) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : (c_Polynomial_Opoly__gcd(v2, v5, v0) = v3 & c_Groups_Ouminus__class_Ouminus(v4, v1) = v5 & tc_Polynomial_Opoly(v2) = v4))
% 37.89/9.84 | (556) ~ hBOOL(c_fFalse)
% 37.89/9.84 | (557) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v5, v3) = v6) | ~ c_Rings_Odvd__class_Odvd(v4, v7, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2) | ~ class_Rings_Ocomm__semiring__1(v4) | c_Rings_Odvd__class_Odvd(v4, v8, v1))
% 37.89/9.84 | (558) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4))
% 37.89/9.84 | (559) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ (v5 = v3) | v4 = v1) & ( ~ (v4 = v1) | v5 = v3)))
% 37.89/9.84 | (560) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v2, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2) | c_Divides_Odiv__class_Omod(v2, v0, v1) = v4)
% 37.89/9.84 | (561) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v0 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v5) | ~ (c_Polynomial_OpCons(v4, v1, v0) = v5) | ~ class_Groups_Ozero(v4))
% 37.89/9.84 | (562) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_13_13 | v0 = all_0_16_16 | ~ (hAPP(v2, v0) = all_0_13_13) | ~ (hAPP(all_0_10_10, v1) = v2))
% 37.89/9.84 | (563) c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_0_8_8
% 37.89/9.84 | (564) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Divides_Osemiring__div(v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v1) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v1) = v6 & c_Groups_Oplus__class_Oplus(v3, v6, v0) = v7))
% 37.89/9.84 | (565) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v5))
% 37.89/9.84 | (566) c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_0_13_13, all_0_13_13)
% 37.89/9.84 | (567) c_Power_Opower__class_Opower(tc_Nat_Onat) = all_0_10_10
% 37.89/9.84 | (568) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (c_Polynomial_Omonom(v2, v0, v1) = v3) | ~ (hAPP(v4, v1) = v5) | ~ class_Groups_Ozero(v2))
% 37.89/9.84 | (569) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2))
% 37.89/9.84 | (570) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v2, v0)) & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v0) | c_Orderings_Oord__class_Oless(v1, v3, v0))))
% 37.89/9.84 | (571) class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint)
% 37.89/9.84 | (572) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1))
% 37.89/9.84 | (573) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 37.89/9.85 | (574) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__mult(v1))
% 37.89/9.85 | (575) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__comm__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))
% 37.89/9.85 | (576) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v4) | ~ class_Groups_Ocancel__semigroup__add(v3))
% 37.89/9.85 | (577) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 37.89/9.85 | (578) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 37.89/9.85 | (579) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v4) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v5 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v4))
% 37.89/9.85 | (580) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_16_16 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 37.89/9.85 | (581) class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint)
% 37.89/9.85 | (582) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v6) | ~ (hAPP(v4, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v12] : ? [v13] : ? [v14] : (hAPP(v14, v0) = v11 & hAPP(v12, v1) = v13 & hAPP(v5, v2) = v12 & hAPP(v4, v13) = v14))
% 37.89/9.85 | (583) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : (c_Divides_Odiv__class_Omod(v3, v6, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v3, v1) = v6))
% 37.89/9.85 | (584) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v6) | ~ (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v8) | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v6, v3) = v7) | ~ class_Divides_Oring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v4, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v11 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v12 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v13 & ( ~ (v13 = v12) | ~ (v11 = v10))))
% 38.15/9.85 | (585) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v1, v0, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Divides_Osemiring__div(v1) | c_Groups_Ozero__class_Ozero(v1) = v3)
% 38.15/9.85 | (586) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v5, v1) = v6) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_9_9, v3) = v4) | ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v8, v1) = v6 & hAPP(v7, v0) = v8 & hAPP(all_0_9_9, v2) = v7))
% 38.15/9.85 | (587) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ogroup__add(v1))
% 38.15/9.85 | (588) ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1))
% 38.15/9.85 | (589) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v7] : (c_Groups_Oone__class_Oone(v2) = v7 & ~ c_Orderings_Oord__class_Oless(v2, v7, v1)))
% 38.15/9.85 | (590) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.15/9.85 | (591) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v0) = v5 & c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v1) = v4 & (v5 = v3 | v3 = v0)))
% 38.15/9.85 | (592) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(all_0_14_14, v1) = v2) | ~ (hAPP(all_0_14_14, v0) = v3) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3))
% 38.15/9.85 | (593) hAPP(all_0_15_15, all_0_16_16) = all_0_14_14
% 38.15/9.85 | (594) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v0) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v1, v7) = v8 & hAPP(v9, v0) = v6 & hAPP(v3, v8) = v9))
% 38.15/9.85 | (595) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ocomm__monoid__add(v1))
% 38.15/9.85 | (596) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v0 | ~ c_Polynomial_Opdivmod__rel(v6, v5, v4, v3, v2) | ~ c_Polynomial_Opdivmod__rel(v6, v5, v4, v1, v0) | ~ class_Fields_Ofield(v6))
% 38.15/9.85 | (597) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v7) | ~ (hAPP(v3, v1) = v4) | ~ class_Power_Opower(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v4, v9) = v8))
% 38.15/9.85 | (598) c_Power_Opower__class_Opower(tc_Int_Oint) = all_0_9_9
% 38.15/9.85 | (599) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Olinorder(v1))
% 38.15/9.85 | (600) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))
% 38.15/9.85 | (601) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Oone__class_Oone(v0) = v2 & c_Orderings_Oord__class_Oless__eq(v0, v1, v2)))
% 38.15/9.85 | (602) ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v0, v2))
% 38.15/9.85 | (603) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Odegree(v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v0) | ? [v7] : ? [v8] : (c_Polynomial_Odegree(v3, v2) = v7 & c_Polynomial_Odegree(v3, v1) = v8 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v8, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v7, v0))))
% 38.15/9.85 | (604) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Opcompose(v4, v3, v2) = v1) | ~ (c_Polynomial_Opcompose(v4, v3, v2) = v0))
% 38.15/9.85 | (605) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_16_16 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : (hAPP(all_0_15_15, v0) = v3 & ! [v4] : ~ (hAPP(v3, v4) = v1)))
% 38.15/9.85 | (606) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2)))
% 38.15/9.85 | (607) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Lattices_Oboolean__algebra(v1) | class_Lattices_Oboolean__algebra(v2))
% 38.15/9.85 | (608) class_Rings_Oring__no__zero__divisors(tc_Int_Oint)
% 38.15/9.85 | (609) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Power_Opower(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v8, v9) = v6 & hAPP(v7, v1) = v8 & hAPP(v4, v0) = v9))
% 38.15/9.85 | (610) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ hBOOL(v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))))
% 38.15/9.85 | (611) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5) | ~ (c_Groups_Oone__class_Oone(v2) = v6) | ~ (c_Polynomial_Oorder(v2, v1, v0) = v11) | ~ (c_Polynomial_OpCons(v2, v6, v7) = v8) | ~ (c_Polynomial_OpCons(v2, v5, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v7) | ~ (hAPP(v10, v11) = v12) | ~ (hAPP(v4, v9) = v10) | ~ class_Rings_Oidom(v2) | c_Rings_Odvd__class_Odvd(v3, v12, v0))
% 38.15/9.85 | (612) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2))
% 38.15/9.85 | (613) class_Lattices_Oboolean__algebra(tc_HOL_Obool)
% 38.15/9.85 | (614) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Osynthetic__div(v1, v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Rings_Ocomm__semiring__0(v1))
% 38.15/9.85 | (615) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_HOL_Oequal__class_Oequal(v5) = v6) | ~ (c_Polynomial_OpCons(v4, v3, v2) = v7) | ~ (c_Polynomial_OpCons(v4, v1, v0) = v9) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v7) = v8) | ~ class_HOL_Oequal(v4) | ~ class_Groups_Ozero(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_HOL_Oequal__class_Oequal(v4) = v11 & hAPP(v14, v0) = v15 & hAPP(v12, v1) = v13 & hAPP(v11, v3) = v12 & hAPP(v6, v2) = v14 & ( ~ hBOOL(v15) | ~ hBOOL(v13) | hBOOL(v10)) & ( ~ hBOOL(v10) | (hBOOL(v15) & hBOOL(v13)))))
% 38.15/9.85 | (616) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ? [v4] : ( ~ (v4 = all_0_6_6) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4))
% 38.15/9.85 | (617) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ class_Rings_Odivision__ring__inverse__zero(v1) | ? [v4] : (c_Rings_Oinverse__class_Oinverse(v1, v4) = v3 & c_Groups_Ouminus__class_Ouminus(v1, v0) = v4))
% 38.15/9.86 | (618) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v2) | ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v6 & c_Polynomial_Odegree(v2, v0) = v7 & (v7 = v5 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7))))
% 38.15/9.86 | (619) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v0, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0))
% 38.15/9.86 | (620) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ c_Rings_Odvd__class_Odvd(v3, v6, v0) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v1, v0))
% 38.15/9.86 | (621) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Oab__group__add(v0))
% 38.15/9.86 | (622) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Nat_OSuc(v0) = v2) | ~ (c_Nat_OSuc(v0) = v1))
% 38.15/9.86 | (623) class_Groups_Oab__group__add(tc_Int_Oint)
% 38.15/9.86 | (624) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1))
% 38.15/9.86 | (625) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.15/9.86 | (626) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Groups_Ouminus__class_Ouminus(v0, v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Groups_Ogroup__add(v0))
% 38.15/9.86 | (627) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Groups_Omonoid__mult(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v9, v1) = v6 & hAPP(v7, v8) = v9 & hAPP(v4, v0) = v8))
% 38.15/9.86 | (628) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v7, v9) = v5 & hAPP(v8, v0) = v9 & hAPP(v6, v0) = v7 & hAPP(all_0_15_15, v2) = v6 & hAPP(all_0_15_15, v1) = v8))
% 38.15/9.86 | (629) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_13_13) = v1)
% 38.15/9.86 | (630) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_13_13) = v1) | c_Nat_OSuc(v0) = v1)
% 38.15/9.86 | (631) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Lattices_Oboolean__algebra(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))
% 38.15/9.86 | (632) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v1) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v0) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v1) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v0) = v7))
% 38.15/9.86 | (633) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v8) = v9) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11))
% 38.15/9.86 | (634) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_9_9, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v3))
% 38.15/9.86 | (635) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Omonoid__add(v1))
% 38.15/9.86 | (636) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Ocancel__ab__semigroup__add(v3))
% 38.15/9.86 | (637) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v1))
% 38.15/9.86 | (638) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v3, v3) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Groups_Oplus__class_Oplus(v1, v0, v0) = v6)
% 38.15/9.86 | (639) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oidom(v1))
% 38.15/9.86 | (640) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v3) = v4) | ~ class_Rings_Ocomm__ring__1(v2) | c_Groups_Ominus__class_Ominus(v2, v1, v0) = v4)
% 38.15/9.86 | (641) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v2) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v0) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ class_Rings_Oordered__ring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v4) = v14 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v16, v9) | c_Orderings_Oord__class_Oless__eq(v5, v13, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v13, v0) | c_Orderings_Oord__class_Oless__eq(v5, v16, v9))))
% 38.15/9.86 | (642) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 38.15/9.86 | (643) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3))
% 38.15/9.86 | (644) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Rings_Odivision__ring__inverse__zero(v2))
% 38.15/9.86 | (645) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Nat_OSuc(v0) = v2) | ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v3))
% 38.20/9.86 | (646) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (hAPP(v14, v0) = v15 & hAPP(v13, v15) = v11 & hAPP(v6, v2) = v12 & hAPP(v5, v12) = v13 & hAPP(v5, v1) = v14))
% 38.20/9.86 | (647) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Polynomial_Opoly__gcd(v0, v2, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Fields_Ofield(v0))
% 38.20/9.86 | (648) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Groups_Oab__semigroup__mult(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 38.20/9.86 | (649) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Oordered__comm__monoid__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless(v3, v5, v2)))
% 38.20/9.86 | (650) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v6) = v7))
% 38.20/9.86 | (651) ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 38.20/9.86 | (652) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_15_15, v7) = v8))
% 38.20/9.86 | (653) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Omult__zero(v1))
% 38.20/9.86 | (654) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v0) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v5))
% 38.20/9.86 | (655) class_Rings_Oordered__cancel__semiring(tc_Nat_Onat)
% 38.20/9.86 | (656) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v2, v3) = v4) | ~ class_Power_Opower(v1) | ~ class_Rings_Osemiring__0(v1))
% 38.20/9.86 | (657) c_Nat_Osize__class_Osize(tc_Nat_Onat, all_0_16_16) = all_0_16_16
% 38.20/9.86 | (658) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (c_Divides_Odiv__class_Omod(v5, v11, v3) = v12) | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (hAPP(v10, v0) = v11) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v2) = v10) | ~ class_Divides_Osemiring__div(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Divides_Odiv__class_Omod(v5, v4, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v14 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v15 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v16 & ( ~ (v16 = v15) | ~ (v14 = v13))))
% 38.20/9.86 | (659) class_Rings_Olinordered__semiring__strict(tc_Nat_Onat)
% 38.20/9.86 | (660) ? [v0] : ? [v1] : ? [v2] : ! [v3] : ! [v4] : ( ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : (c_Groups_Ozero__class_Ozero(v4) = v5 & ( ~ (v5 = v1) | ~ (v2 = v0) | c_Polynomial_Opdivmod__rel(v3, v0, v1, v1, v0)) & ( ~ c_Polynomial_Opdivmod__rel(v3, v2, v5, v1, v0) | (v5 = v1 & v2 = v0))))
% 38.20/9.86 | (661) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v9) | ~ (c_Groups_Ominus__class_Ominus(v4, v2, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v8, v11) = v12) | ~ (hAPP(v10, v0) = v11) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v9) = v10) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Oring(v4) | ? [v13] : ? [v14] : ? [v15] : (c_Groups_Ominus__class_Ominus(v4, v13, v15) = v12 & hAPP(v14, v0) = v15 & hAPP(v6, v2) = v13 & hAPP(v5, v1) = v14))
% 38.20/9.87 | (662) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v0, v1))
% 38.20/9.87 | (663) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oone__class_Oone(v0) = v2) | ~ (c_Polynomial_OpCons(v0, v2, v3) = v4) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ class_Rings_Ocomm__semiring__1(v0) | c_Groups_Oone__class_Oone(v1) = v4)
% 38.20/9.87 | (664) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Polynomial_Osmult(v3, v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Oplus__class_Oplus(v6, v7, v8) = v5 & c_Polynomial_Osmult(v3, v2, v0) = v7 & c_Polynomial_Osmult(v3, v1, v0) = v8 & tc_Polynomial_Opoly(v3) = v6))
% 38.20/9.87 | (665) ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1))
% 38.20/9.87 | (666) ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | ? [v1] : c_Nat_OSuc(v1) = v0)
% 38.20/9.87 | (667) ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_0_13_13, v0)
% 38.20/9.87 | (668) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Polynomial_Omonom(v4, v3, v2) = v7) | ~ (c_Polynomial_Omonom(v4, v1, v0) = v9) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v7) = v8) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Groups_Otimes__class_Otimes(v4) = v11 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v14 & c_Polynomial_Omonom(v4, v13, v14) = v10 & hAPP(v12, v1) = v13 & hAPP(v11, v3) = v12))
% 38.20/9.87 | (669) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3))
% 38.20/9.87 | (670) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.20/9.87 | (671) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring(v0))
% 38.20/9.87 | (672) ! [v0] : ! [v1] : (v1 = c_fequal | ~ (c_HOL_Oequal__class_Oequal(v0) = v1) | ~ class_HOL_Oequal(v0))
% 38.20/9.87 | (673) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_6_6 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))))
% 38.20/9.87 | (674) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Polynomial_Osmult(v3, v2, v1) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(v4, v1, v0) = v8 & c_Polynomial_Osmult(v3, v2, v8) = v7))
% 38.20/9.87 | (675) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (hAPP(all_0_14_14, v1) = v2) | ~ (hAPP(all_0_14_14, v0) = v3))
% 38.20/9.87 | (676) tc_Polynomial_Opoly(t_a) = all_0_3_3
% 38.20/9.87 | (677) c_HOL_Obool_Obool__size(c_fFalse) = all_0_16_16
% 38.20/9.87 | (678) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Ocomm__semiring__1(v1))
% 38.20/9.87 | (679) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v0, v5) | ? [v6] : ( ~ (v6 = v0) & c_Groups_Oone__class_Oone(v2) = v6))
% 38.20/9.87 | (680) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ (hAPP(all_0_8_8, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_8_8, v8) = v9))
% 38.20/9.87 | (681) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v0) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v4) = v7) | ~ class_Rings_Oordered__ring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v1) = v14 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v9, v16) | c_Orderings_Oord__class_Oless__eq(v5, v2, v13)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v13) | c_Orderings_Oord__class_Oless__eq(v5, v9, v16))))
% 38.20/9.87 | (682) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v10) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v12, v2) = v13) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v0) = v9) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ class_Rings_Oring(v5) | ? [v14] : ? [v15] : ? [v16] : (c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v4) = v14 & ( ~ (v16 = v9) | v13 = v0) & ( ~ (v13 = v0) | v16 = v9)))
% 38.20/9.87 | (683) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(v1, v0, v0) = v2) | ~ class_Divides_Osemiring__div(v1) | c_Groups_Ozero__class_Ozero(v1) = v2)
% 38.20/9.87 | (684) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v4) = v5) | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v6, v1) = v7 & c_Polynomial_Ocoeff(v2, v7) = v8 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v5))
% 38.20/9.87 | (685) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v8) | (v8 = v0 & v1 = v0)) & ( ~ (v9 = v0) | ~ (v1 = v0) | v8 = v0)))
% 38.20/9.87 | (686) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Opreorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 38.20/9.87 | (687) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1))
% 38.20/9.87 | (688) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_12_12, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 38.20/9.87 | (689) class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)
% 38.20/9.87 | (690) class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint)
% 38.20/9.87 | (691) ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v0) = v2 & c_Orderings_Oord__class_Oless__eq(v0, v2, v1)))
% 38.20/9.87 | (692) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v6] : ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7))
% 38.20/9.87 | (693) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_15_15, v0) = v1) | hAPP(v1, all_0_13_13) = v0)
% 38.20/9.87 | (694) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Oordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v2, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v3, v0))))
% 38.20/9.87 | (695) class_Rings_Oordered__semiring(tc_Int_Oint)
% 38.20/9.87 | (696) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0)))
% 38.20/9.87 | (697) ? [v0] : ? [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v0, v1))
% 38.20/9.87 | (698) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v3) = v9 & c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) | ~ c_Orderings_Oord__class_Oless(v3, v0, v9))))
% 38.20/9.87 | (699) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ class_Divides_Osemiring__div(v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Divides_Odiv__class_Omod(v5, v13, v3) = v11 & c_Divides_Odiv__class_Omod(v5, v10, v3) = v11 & c_Groups_Otimes__class_Otimes(v5) = v8 & hAPP(v12, v0) = v13 & hAPP(v9, v1) = v10 & hAPP(v8, v4) = v9 & hAPP(v8, v2) = v12))
% 38.20/9.87 | (700) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | ? [v5] : ? [v6] : ? [v7] : (hAPP(v1, v5) = v6 & hAPP(v0, v5) = v7 & ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7)))
% 38.20/9.87 | (701) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2))
% 38.20/9.87 | (702) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 38.20/9.87 | (703) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v9, v13) = v8 & c_Polynomial_Osmult(v3, v2, v0) = v9 & c_Polynomial_OpCons(v3, v10, v12) = v13 & c_Groups_Ozero__class_Ozero(v3) = v10 & hAPP(v11, v0) = v12 & hAPP(v5, v1) = v11))
% 38.20/9.87 | (704) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0)))
% 38.20/9.88 | (705) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (c_Polynomial_Ocoeff(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v1) = v6 & c_Groups_Ozero__class_Ozero(v1) = v7 & ( ~ (v0 = all_0_16_16) | v6 = v5) & (v7 = v5 | v0 = all_0_16_16)))
% 38.20/9.88 | (706) class_Orderings_Opreorder(tc_HOL_Obool)
% 38.20/9.88 | (707) ! [v0] : (v0 = all_0_13_13 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, all_0_13_13) = v0))
% 38.20/9.88 | (708) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(all_0_15_15, v1) = v9))
% 38.20/9.88 | (709) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (c_Polynomial_Odegree(v2, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v7 & c_Groups_Ozero__class_Ozero(v3) = v6 & (v6 = v4 | v6 = v1 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7))))
% 38.20/9.88 | (710) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1) | ~ (hAPP(v4, v5) = v7) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) | ? [v8] : ? [v9] : ((c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v8 & hAPP(v2, v8) = v9 & ~ hBOOL(v9)) | (hAPP(v2, v6) = v8 & hBOOL(v8))))
% 38.20/9.88 | (711) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v9) = v10) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v8, v2) = v12 & hAPP(v6, v0) = v11 & ( ~ (v13 = v10) | v3 = v1 | v2 = v0) & (v13 = v10 | ( ~ (v3 = v1) & ~ (v2 = v0)))))
% 38.20/9.88 | (712) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v1) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v5) | ~ class_Divides_Oring__div(v3) | ? [v7] : ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(v3, v8, v1) = v9 & c_Divides_Odiv__class_Omod(v3, v2, v1) = v7 & c_Groups_Ouminus__class_Ouminus(v3, v0) = v8 & ( ~ (v7 = v4) | v9 = v6)))
% 38.20/9.88 | (713) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v5] : ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v4) = v6 & c_Polynomial_Odegree(v2, v1) = v7 & c_Groups_Ozero__class_Ozero(v3) = v5 & (v5 = v4 | v5 = v1 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7))))
% 38.20/9.88 | (714) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 38.20/9.88 | (715) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v2, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2) | c_Divides_Odiv__class_Omod(v2, v1, v0) = v4)
% 38.20/9.88 | (716) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v2) | ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v6 & c_Polynomial_Odegree(v2, v0) = v7 & (v7 = v5 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7))))
% 38.20/9.88 | (717) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_16_16 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_9_9, v2) = v3) | ~ (hAPP(all_0_9_9, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0))
% 38.20/9.88 | (718) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 38.20/9.88 | (719) ! [v0] : ! [v1] : ( ~ (c_Nat_Osize__class_Osize(tc_Nat_Onat, v0) = v1) | ? [v2] : ? [v3] : (c_Nat_Osize__class_Osize(tc_Nat_Onat, v2) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, all_0_13_13) = v3 & c_Nat_OSuc(v0) = v2))
% 38.20/9.88 | (720) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v0, v5))
% 38.20/9.88 | (721) ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_0_16_16)
% 38.20/9.88 | (722) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tc_fun(v2, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v4, v1) = v5) | ~ (hAPP(v5, v0) = v6) | ~ class_Groups_Ouminus(v3) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v3, v7) = v6 & hAPP(v1, v0) = v7))
% 38.20/9.88 | (723) ! [v0] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_5_5, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0))
% 38.20/9.88 | (724) ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_5_5, v0))
% 38.20/9.88 | (725) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_SMT_Oz3mod(v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2)
% 38.20/9.88 | (726) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4))
% 38.20/9.88 | (727) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 38.20/9.88 | (728) ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_6_6) | ? [v2] : ? [v3] : (hAPP(v2, v3) = v1 & hAPP(all_0_8_8, v0) = v2))
% 38.20/9.88 | (729) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Polynomial_Odegree(v1, v0) = v2) | ~ class_Groups_Oab__group__add(v1) | ? [v3] : ? [v4] : (c_Groups_Ouminus__class_Ouminus(v3, v0) = v4 & c_Polynomial_Odegree(v1, v4) = v2 & tc_Polynomial_Opoly(v1) = v3))
% 38.20/9.88 | (730) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Groups_Ogroup__add(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6))
% 38.20/9.88 | (731) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 38.20/9.88 | (732) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v0) | c_Rings_Odvd__class_Odvd(v3, v2, v4))
% 38.20/9.88 | (733) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v3))
% 38.20/9.88 | (734) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v4) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7))
% 38.20/9.88 | (735) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v1, v2) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v3) = v5 & c_Groups_Ozero__class_Ozero(v3) = v6 & (v6 = v1 | ~ c_Rings_Odvd__class_Odvd(v5, v2, v0) | c_Rings_Odvd__class_Odvd(v5, v4, v0))))
% 38.20/9.88 | (736) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v4))
% 38.20/9.88 | (737) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v5, v8) = v9) | ~ (hAPP(v5, v6) = v7) | ~ class_Fields_Ofield(v2) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v12 & c_Groups_Ozero__class_Ozero(v2) = v11 & (v12 = v10 | v11 = v1 | v11 = v0)))
% 38.20/9.88 | (738) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 38.20/9.88 | (739) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v6] : ? [v7] : (c_Groups_Ominus__class_Ominus(v3, v2, v6) = v7 & c_Divides_Odiv__class_Omod(v3, v7, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v6))
% 38.20/9.88 | (740) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0))
% 38.20/9.88 | (741) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 38.20/9.88 | (742) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ (c_Polynomial_OpCons(v3, v0, v1) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & c_Groups_Ozero__class_Ozero(v5) = v1))
% 38.20/9.88 | (743) class_Rings_Ocomm__semiring(tc_Int_Oint)
% 38.20/9.88 | (744) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v6, v9) = v8))
% 38.20/9.88 | (745) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v4] : ( ~ (v4 = v0) & c_Nat_OSuc(v3) = v4))
% 38.20/9.88 | (746) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Ozero(v0))
% 38.20/9.88 | (747) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Odegree(v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v6, v0) | ? [v7] : ? [v8] : (c_Polynomial_Odegree(v3, v2) = v7 & c_Polynomial_Odegree(v3, v1) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v7, v0))))
% 38.20/9.88 | (748) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Power_Opower(v2) | ~ class_Rings_Ozero__neq__one(v2) | ~ class_Rings_Ono__zero__divisors(v2) | ~ class_Rings_Omult__zero(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | (v5 = v1 & ~ (v0 = all_0_16_16))) & ( ~ (v6 = v1) | v5 = v1 | v0 = all_0_16_16)))
% 38.20/9.88 | (749) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : (hAPP(v6, v9) = v8 & hAPP(v5, v0) = v9))
% 38.20/9.89 | (750) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v3, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v5, v1)))
% 38.20/9.89 | (751) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 38.20/9.89 | (752) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring(v0))
% 38.20/9.89 | (753) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | ? [v3] : (c_Nat_OSuc(v3) = v1 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0)))
% 38.20/9.89 | (754) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v8) | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ class_Divides_Oring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v12 & c_Divides_Odiv__class_Omod(v5, v12, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v4, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v11 & ( ~ (v11 = v7) | ~ (v10 = v6) | v13 = v9)))
% 38.20/9.89 | (755) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Lattices_Oab__semigroup__idem__mult(v2) | hAPP(v4, v5) = v5)
% 38.20/9.89 | (756) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v5) | ~ c_Orderings_Oord__class_Oless(v2, v6, v0) | c_Orderings_Oord__class_Oless(v2, v6, v1))))
% 38.20/9.89 | (757) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v5) | ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v0))))
% 38.20/9.89 | (758) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Orderings_Oord(v3) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0))
% 38.20/9.89 | (759) class_Rings_Olinordered__ring__strict(tc_Int_Oint)
% 38.20/9.89 | (760) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring(v1))
% 38.20/9.89 | (761) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0)))
% 38.20/9.89 | (762) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Nat_Osize__class_Osize(tc_Nat_Onat, v0) = v1))
% 38.20/9.89 | (763) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v5) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1))
% 38.20/9.89 | (764) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_13_13 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1))
% 38.20/9.89 | (765) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | c_SMT_Oz3mod(v0, v1) = v3 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1))
% 38.20/9.89 | (766) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_16_16 | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ (c_Polynomial_Odegree(v0, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0))
% 38.20/9.89 | (767) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (c_Polynomial_Ocoeff(v3, v4) = v5) | ~ (c_Polynomial_Omonom(v3, v0, v2) = v4) | ~ (hAPP(v5, v1) = v6) | ~ class_Groups_Ozero(v3) | c_Groups_Ozero__class_Ozero(v3) = v6)
% 38.20/9.89 | (768) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0)
% 38.20/9.89 | (769) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0))
% 38.20/9.89 | (770) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3, all_0_13_13) = v0)
% 38.20/9.89 | (771) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v4) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v0) | c_Rings_Odvd__class_Odvd(v3, v2, v1))
% 38.20/9.89 | (772) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2) = v0))
% 38.20/9.89 | (773) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0))
% 38.20/9.89 | (774) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Oorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 38.20/9.89 | (775) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Divides_Osemiring__div(v3) | ? [v10] : ? [v11] : (c_Divides_Odiv__class_Omod(v3, v2, v0) = v10 & hAPP(v11, v1) = v9 & hAPP(v4, v10) = v11))
% 38.20/9.89 | (776) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_16_16) = v1))
% 38.20/9.89 | (777) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_16_16) = v2) | ~ (hAPP(all_0_10_10, v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2))
% 38.20/9.89 | (778) class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat)
% 38.20/9.89 | (779) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0))
% 38.20/9.89 | (780) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0))
% 38.20/9.89 | (781) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v2) | v2 = v0)))
% 38.20/9.89 | (782) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring__1__no__zero__divisors(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | v5 = v1)))
% 38.20/9.89 | (783) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v2, v3))))
% 38.20/9.89 | (784) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v0) = v3) | ~ (c_Polynomial_Omonom(v2, v1, v3) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Polynomial_Omonom(v2, v1, v0) = v6 & c_Polynomial_OpCons(v2, v5, v6) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5))
% 38.20/9.89 | (785) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2))
% 38.20/9.89 | (786) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v2) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v0) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2))
% 38.20/9.89 | (787) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ c_Rings_Odvd__class_Odvd(v4, v3, v2) | ~ c_Rings_Odvd__class_Odvd(v4, v1, v0) | ~ class_Rings_Ocomm__semiring__1(v4) | c_Rings_Odvd__class_Odvd(v4, v7, v9))
% 38.20/9.89 | (788) c_Nat_Onat_Onat__size(all_0_16_16) = all_0_16_16
% 38.20/9.89 | (789) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.20/9.89 | (790) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5))
% 38.20/9.89 | (791) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v5) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v0, v7) = v8 & hAPP(v9, v1) = v6 & hAPP(v3, v8) = v9))
% 38.20/9.89 | (792) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Omult__zero(v0))
% 38.20/9.89 | (793) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | ~ class_Rings_Ocomm__ring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v3))
% 38.20/9.89 | (794) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v3, v4) = v5) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Rings_Odivision__ring(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v9 & c_Groups_Otimes__class_Otimes(v2) = v7 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v11, v4) = v12 & hAPP(v8, v9) = v10 & hAPP(v7, v10) = v11 & hAPP(v7, v3) = v8 & (v12 = v5 | v6 = v1 | v6 = v0)))
% 38.20/9.89 | (795) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v10) = v11) | ~ (c_Polynomial_Osmult(v3, v1, v2) = v7) | ~ (c_Polynomial_OpCons(v3, v8, v9) = v10) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Groups_Ozero__class_Ozero(v3) = v8) | ~ (hAPP(v6, v0) = v9) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v12] : (c_Polynomial_OpCons(v3, v1, v0) = v12 & hAPP(v6, v12) = v11))
% 38.20/9.89 | (796) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Divides_Odiv__class_Omod(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Divides_Osemiring__div(v1))
% 38.20/9.89 | (797) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v4) = v5) | ~ class_Rings_Oidom(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Odegree(v2, v10) = v11 & c_Groups_Otimes__class_Otimes(v6) = v8 & tc_Polynomial_Opoly(v2) = v6 & c_Groups_Ozero__class_Ozero(v6) = v7 & hAPP(v9, v0) = v10 & hAPP(v8, v1) = v9 & (v11 = v5 | v7 = v1 | v7 = v0)))
% 38.20/9.90 | (798) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly(v4, v3) = v6) | ~ (c_Polynomial_OpCons(v4, v0, v1) = v5) | ~ (hAPP(v6, v2) = v7) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v8, v3, v9) = v10 & c_Polynomial_Osmult(v4, v2, v1) = v9 & c_Polynomial_Osynthetic__div(v4, v3, v2) = v11 & tc_Polynomial_Opoly(v4) = v8 & ( ~ (v10 = v5) | (v11 = v1 & v7 = v0))))
% 38.20/9.90 | (799) ! [v0] : (v0 = all_0_5_5 | ~ (hAPP(all_0_4_4, all_0_5_5) = v0))
% 38.20/9.90 | (800) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 38.20/9.90 | (801) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ (c_Polynomial_Odegree(v2, v3) = v5) | ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (hAPP(v4, v5) = v6) | ~ class_Fields_Ofield(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Oone__class_Oone(v2) = v10 & tc_Polynomial_Opoly(v2) = v7 & c_Groups_Ozero__class_Ozero(v7) = v8 & c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v8 = v0) | ~ (v1 = v0) | v9 = v6) & (v10 = v6 | (v8 = v0 & v1 = v0))))
% 38.20/9.90 | (802) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (c_Polynomial_Osmult(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Rings_Ocomm__ring(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v3, v0) = v6 & c_Polynomial_Osmult(v2, v1, v6) = v5))
% 38.20/9.90 | (803) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v9) = v8) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v7) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ (hAPP(v5, v3) = v6) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | c_Groups_Ozero__class_Ozero(v4) = v3)
% 38.20/9.90 | (804) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oordered__ring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v16, v0) | c_Orderings_Oord__class_Oless__eq(v5, v9, v12)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v9, v12) | c_Orderings_Oord__class_Oless__eq(v5, v16, v0))))
% 38.20/9.90 | (805) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1))
% 38.20/9.90 | (806) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_5_5 | ~ (hAPP(v2, v0) = all_0_5_5) | ~ (hAPP(all_0_8_8, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1))
% 38.20/9.90 | (807) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Rings_Olinordered__idom(v1) | c_Groups_Ozero__class_Ozero(v2) = v0 | c_Polynomial_Opos__poly(v1, v3) | c_Polynomial_Opos__poly(v1, v0))
% 38.20/9.90 | (808) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Ouminus(v1))
% 38.20/9.90 | (809) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v9, v0) = v10) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v10) = v11) | ~ (hAPP(v8, v2) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ class_Rings_Osemiring(v4) | ? [v12] : ? [v13] : ? [v14] : (c_Groups_Oplus__class_Oplus(v4, v14, v0) = v11 & c_Groups_Oplus__class_Oplus(v4, v3, v1) = v12 & hAPP(v13, v2) = v14 & hAPP(v5, v12) = v13))
% 38.20/9.90 | (810) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v7) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v4, v9) = v8))
% 38.20/9.90 | (811) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (c_Polynomial_Opoly(v3, v7) = v8) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Power_Opower__class_Opower(v3) = v10 & c_Polynomial_Opoly(v3, v2) = v11 & hAPP(v13, v1) = v9 & hAPP(v11, v0) = v12 & hAPP(v10, v12) = v13))
% 38.20/9.90 | (812) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Groups_Oab__semigroup__mult(v3) | ? [v9] : ? [v10] : (hAPP(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(v4, v1) = v9))
% 38.20/9.90 | (813) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(v3, v8, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v6 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v7 & c_Groups_Oplus__class_Oplus(v3, v6, v7) = v8))
% 38.20/9.90 | (814) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v1, v0) = v2) | ~ class_Enum_Oenum(v1) | ~ class_Enum_Oenum(v0) | class_Enum_Oenum(v2))
% 38.20/9.90 | (815) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_15_15, v1) = v4))
% 38.20/9.90 | (816) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v0) | ( ~ (v7 = v4) & hAPP(v3, v6) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v6)))))
% 38.20/9.90 | (817) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_16_16 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2))
% 38.20/9.90 | (818) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v1) = v2 & ~ c_Polynomial_Opos__poly(v0, v2)))
% 38.20/9.90 | (819) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | hBOOL(v2) | ? [v3] : ? [v4] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, all_0_16_16) = v3 & hAPP(v1, v3) = v4 & ~ hBOOL(v4)))
% 38.20/9.90 | (820) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v6, v1) = v5 & c_Groups_Oplus__class_Oplus(v3, v2, v0) = v6))
% 38.20/9.90 | (821) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osmult(v3, v2, v4) = v5) | ~ (c_Polynomial_OpCons(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v3) = v6 & c_Polynomial_Osmult(v3, v2, v0) = v9 & c_Polynomial_OpCons(v3, v8, v9) = v5 & hAPP(v7, v1) = v8 & hAPP(v6, v2) = v7))
% 38.20/9.90 | (822) ? [v0] : ! [v1] : ( ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v0, v0))
% 38.20/9.90 | (823) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v0, v5)))
% 38.20/9.90 | (824) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_15_15, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 38.20/9.90 | (825) class_Rings_Ocomm__semiring__1(tc_Int_Oint)
% 38.20/9.90 | (826) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Fields_Ofield(v0) | class_Divides_Osemiring__div(v1))
% 38.20/9.90 | (827) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Ocomm__semiring__0(v1))
% 38.20/9.90 | (828) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, all_0_6_6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_6_6))
% 38.20/9.90 | (829) class_Rings_Oordered__ring(tc_Int_Oint)
% 38.20/9.90 | (830) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_16_16 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_10_10, v1) = v3) | ~ (hAPP(all_0_10_10, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6))
% 38.20/9.90 | (831) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_16_16 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_10_10, v1) = v3) | ~ (hAPP(all_0_10_10, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 38.20/9.90 | (832) ! [v0] : ! [v1] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = all_0_16_16) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.20/9.90 | (833) class_Groups_Oab__semigroup__add(tc_Nat_Onat)
% 38.20/9.90 | (834) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ hBOOL(v2) | ? [v3] : ? [v4] : ? [v5] : ((c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_0_13_13) = v4 & hAPP(v1, v4) = v5 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) & hBOOL(v5) & ! [v6] : ! [v7] : ( ~ (hAPP(v1, v6) = v7) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v6, v3) | ~ hBOOL(v7))) | (hAPP(v1, all_0_16_16) = v3 & hBOOL(v3))))
% 38.20/9.90 | (835) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v3] : ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4 & c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v0) = v3))
% 38.20/9.90 | (836) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2))
% 38.20/9.90 | (837) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v2, v0) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v6) | ~ (c_Polynomial_OpCons(v4, v6, v7) = v8) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ class_Groups_Ocomm__monoid__add(v4) | ? [v9] : ? [v10] : (c_Groups_Oplus__class_Oplus(v5, v9, v10) = v8 & c_Polynomial_OpCons(v4, v3, v2) = v9 & c_Polynomial_OpCons(v4, v1, v0) = v10))
% 38.20/9.91 | (838) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v3, v2) = v4) | ~ (c_Polynomial_Odegree(v3, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v3, v7) = v8 & c_Groups_Oplus__class_Oplus(v6, v2, v0) = v7 & tc_Polynomial_Opoly(v3) = v6 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v8, v1)))
% 38.20/9.91 | (839) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v7 & hAPP(v4, v7) = v6))
% 38.20/9.91 | (840) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_HOL_Oequal__class_Oequal(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ hBOOL(v5) | ~ class_HOL_Oequal(v2))
% 38.20/9.91 | (841) class_Groups_Omonoid__add(tc_Int_Oint)
% 38.20/9.91 | (842) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_15_15, v0) = v1) | hAPP(v1, all_0_16_16) = all_0_16_16)
% 38.20/9.91 | (843) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ c_Rings_Odvd__class_Odvd(v3, v6, v0) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v0))
% 38.20/9.91 | (844) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0)
% 38.20/9.91 | (845) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v1) | v5 = v3) & ( ~ (v5 = v3) | v6 = v1)))
% 38.20/9.91 | (846) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v1) = v9) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v2) = v7) | ~ class_Fields_Ofield(v4) | ? [v10] : ? [v11] : ? [v12] : (c_Polynomial_Odegree(v4, v3) = v12 & c_Polynomial_Odegree(v4, v1) = v11 & c_Groups_Ozero__class_Ozero(v5) = v10 & ( ~ (v9 = v0) | c_Polynomial_Opdivmod__rel(v4, v0, v3, v2, v1) | (v10 = v3 & ~ (v3 = v2)) | ( ~ (v10 = v3) & ~ (v10 = v1) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v11, v12))) & ( ~ c_Polynomial_Opdivmod__rel(v4, v0, v3, v2, v1) | (v9 = v0 & ( ~ (v10 = v3) | v3 = v2) & (v10 = v3 | v10 = v1 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v11, v12))))))
% 38.20/9.91 | (847) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6))))))
% 38.20/9.91 | (848) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v0, v1) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 38.20/9.91 | (849) class_Rings_Oordered__cancel__semiring(tc_Int_Oint)
% 38.20/9.91 | (850) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v0, v3) = v6) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v3) = v4) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Oring__1(v1) | ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(v1, v9, v3) = v7 & hAPP(v8, v0) = v9 & hAPP(v2, v0) = v8))
% 38.20/9.91 | (851) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 38.20/9.91 | (852) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1) | hAPP(v3, all_0_13_13) = v0)
% 38.20/9.91 | (853) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | c_Orderings_Oord__class_Oless(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v1)))
% 38.20/9.91 | (854) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v6))
% 38.20/9.91 | (855) class_Rings_Oidom(tc_Int_Oint)
% 38.20/9.91 | (856) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 38.20/9.91 | (857) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v0)
% 38.20/9.91 | (858) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2) | (c_Orderings_Oord__class_Oless(v1, v4, v0) & c_Orderings_Oord__class_Oless__eq(v1, v0, v3)))))
% 38.20/9.91 | (859) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v1) | ~ class_Groups_Ogroup__add(v2))
% 38.20/9.91 | (860) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v2, v7) = v6 & hAPP(v4, v0) = v7))
% 38.40/9.91 | (861) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v4) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | c_Rings_Odvd__class_Odvd(v3, v2, v0))
% 38.40/9.91 | (862) class_Rings_Olinordered__semiring__strict(tc_Int_Oint)
% 38.40/9.91 | (863) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v10) = v11) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v6) | ~ (c_Polynomial_OpCons(v3, v7, v9) = v10) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Groups_Ozero__class_Ozero(v3) = v7) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v5, v1) = v8) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v12] : ? [v13] : (c_Polynomial_OpCons(v3, v2, v1) = v12 & hAPP(v13, v0) = v11 & hAPP(v5, v12) = v13))
% 38.40/9.91 | (864) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v4) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v6) = v7) | ~ (hAPP(all_0_8_8, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | hBOOL(v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v2) = v10 & hAPP(v1, v10) = v11 & hAPP(v1, v8) = v9 & hBOOL(v9) & ~ hBOOL(v11)) | (hAPP(v1, v5) = v8 & ~ hBOOL(v8))))
% 38.40/9.91 | (865) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | c_Orderings_Oord__class_Oless(v4, v5, v6))
% 38.40/9.91 | (866) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v3, v2) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v0) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0))
% 38.40/9.91 | (867) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0))
% 38.40/9.91 | (868) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | ? [v2] : ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v2 & c_Groups_Oone__class_Oone(v0) = v3 & c_Polynomial_OpCons(v0, v3, v4) = v2 & c_Groups_Ozero__class_Ozero(v1) = v4))
% 38.40/9.91 | (869) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v7) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v9] : (c_Divides_Odiv__class_Omod(v3, v1, v0) = v9 & hAPP(v5, v9) = v8))
% 38.40/9.91 | (870) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_6_6 | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2))
% 38.40/9.91 | (871) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_OpCons(v3, v1, v0) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v2) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v4, v9, v12) = v8 & c_Polynomial_Osmult(v3, v1, v2) = v9 & c_Polynomial_OpCons(v3, v10, v11) = v12 & c_Groups_Ozero__class_Ozero(v3) = v10 & hAPP(v6, v0) = v11))
% 38.40/9.91 | (872) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Polynomial_Opoly__rec(v2, v5, v3, v4, v0) = v8) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v6) | ~ class_Groups_Ozero(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Polynomial_Opoly__rec(v2, v5, v3, v4, v16) = v17 & c_Polynomial_OpCons(v5, v1, v0) = v16 & tc_Polynomial_Opoly(v5) = v12 & c_Groups_Ozero__class_Ozero(v12) = v13 & c_Groups_Ozero__class_Ozero(v5) = v10 & hAPP(v14, v3) = v15 & hAPP(v11, v13) = v14 & hAPP(v4, v10) = v11 & ( ~ (v15 = v3) | v17 = v9)))
% 38.40/9.91 | (873) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v3, v0))
% 38.40/9.91 | (874) class_Power_Opower(tc_Nat_Onat)
% 38.40/9.91 | (875) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v6) = v7) | ~ class_Groups_Omonoid__mult(v2) | ? [v9] : (hAPP(v9, v6) = v8 & hAPP(v3, v1) = v9))
% 38.40/9.91 | (876) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))
% 38.40/9.91 | (877) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 38.40/9.91 | (878) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5))
% 38.40/9.91 | (879) class_Groups_Oab__semigroup__mult(tc_Int_Oint)
% 38.40/9.92 | (880) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 38.40/9.92 | (881) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_16_16 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_10_10, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1))
% 38.40/9.92 | (882) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v0) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5))
% 38.40/9.92 | (883) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0))
% 38.40/9.92 | (884) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4)
% 38.40/9.92 | (885) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 38.40/9.92 | (886) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v3, v10, v0) = v7 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v8 & hAPP(v9, v1) = v10 & hAPP(v4, v8) = v9))
% 38.40/9.92 | (887) class_Rings_Odvd(tc_Int_Oint)
% 38.40/9.92 | (888) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ c_Rings_Odvd__class_Odvd(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ~ class_Rings_Ocomm__semiring__1(v4) | c_Rings_Odvd__class_Odvd(v4, v7, v9))
% 38.40/9.92 | (889) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (c_Polynomial_Opoly(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Groups_Oone__class_Oone(v1) = v5)
% 38.40/9.92 | (890) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v5 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v5) = v4))
% 38.40/9.92 | (891) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))
% 38.40/9.92 | (892) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 38.40/9.92 | (893) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly__rec(v2, v5, v3, v4, v6) = v7) | ~ (c_Polynomial_OpCons(v5, v1, v0) = v6) | ~ class_Groups_Ozero(v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Polynomial_Opoly__rec(v2, v5, v3, v4, v0) = v16 & tc_Polynomial_Opoly(v5) = v10 & c_Groups_Ozero__class_Ozero(v10) = v11 & c_Groups_Ozero__class_Ozero(v5) = v8 & hAPP(v15, v16) = v17 & hAPP(v14, v0) = v15 & hAPP(v12, v3) = v13 & hAPP(v9, v11) = v12 & hAPP(v4, v8) = v9 & hAPP(v4, v1) = v14 & ( ~ (v13 = v3) | v17 = v7)))
% 38.40/9.92 | (894) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0))
% 38.40/9.92 | (895) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Osmult(v5, v0, v4) = v6) | ~ (c_Polynomial_Osmult(v5, v0, v2) = v7) | ~ (c_Polynomial_Osmult(v5, v0, v1) = v8) | ~ c_Polynomial_Opdivmod__rel(v5, v4, v3, v2, v1) | ~ class_Fields_Ofield(v5) | c_Polynomial_Opdivmod__rel(v5, v6, v3, v7, v8))
% 38.40/9.92 | (896) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Polynomial_Odegree(v2, v6) = v7) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : ? [v10] : (c_Polynomial_Odegree(v2, v1) = v8 & hAPP(v9, v0) = v10 & hAPP(all_0_15_15, v8) = v9 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v7, v10)))
% 38.40/9.92 | (897) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v7] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v7, v0) = v6 & hAPP(v3, v1) = v7))
% 38.40/9.92 | (898) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v4 = v1 | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v7) | ~ (c_Polynomial_Oorder(v2, v0, v1) = v11) | ~ (c_Polynomial_OpCons(v2, v7, v4) = v8) | ~ (c_Polynomial_OpCons(v2, v6, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v10, v11) = v12) | ~ (hAPP(v5, v9) = v10) | ~ class_Rings_Oidom(v2) | c_Rings_Odvd__class_Odvd(v3, v12, v1))
% 38.40/9.92 | (899) ! [v0] : ! [v1] : (v1 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v0) = v1))
% 38.40/9.92 | (900) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Oordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2) | c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))
% 38.40/9.92 | (901) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v0) | c_Orderings_Oord__class_Oless__eq(v2, v4, v1))
% 38.40/9.92 | (902) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | c_Orderings_Oord__class_Oless__eq(v2, v3, v0))
% 38.40/9.92 | (903) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (c_HOL_Oequal__class_Oequal(v2) = v6) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v5) | ~ (c_Groups_Ozero__class_Ozero(v2) = v8) | ~ (hAPP(v10, v5) = v11) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v0) = v10) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2) | ? [v12] : ? [v13] : ? [v14] : (c_Polynomial_OpCons(v2, v1, v0) = v12 & hAPP(v13, v5) = v14 & hAPP(v4, v12) = v13 & ( ~ hBOOL(v14) | (hBOOL(v11) & hBOOL(v9))) & ( ~ hBOOL(v11) | ~ hBOOL(v9) | hBOOL(v14))))
% 38.40/9.92 | (904) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Polynomial_Opoly(v2, v0) = v3) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oidom(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Polynomial_OpCons(v2, v7, v8) = v9 & c_Polynomial_OpCons(v2, v1, v9) = v10 & tc_Polynomial_Opoly(v2) = v6 & c_Groups_Ozero__class_Ozero(v6) = v8 & c_Groups_Ozero__class_Ozero(v2) = v11 & ( ~ (v11 = v5) | c_Rings_Odvd__class_Odvd(v6, v10, v0)) & (v11 = v5 | ~ c_Rings_Odvd__class_Odvd(v6, v10, v0))))
% 38.40/9.92 | (905) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Lattices_Oab__semigroup__idem__mult(v1))
% 38.40/9.92 | (906) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v4] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4 & c_Groups_Oplus__class_Oplus(v2, v1, v4) = v3))
% 38.40/9.92 | (907) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ozero(v0) | class_Groups_Ozero(v1))
% 38.40/9.92 | (908) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Osmult(v4, v3, v2) = v1) | ~ (c_Polynomial_Osmult(v4, v3, v2) = v0))
% 38.40/9.92 | (909) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v1) | ~ (c_Power_Opower__class_Opower(v2) = v0))
% 38.40/9.92 | (910) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_6_6))
% 38.40/9.92 | (911) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_SMT_Oz3mod(v3, v2) = v1) | ~ (c_SMT_Oz3mod(v3, v2) = v0))
% 38.40/9.92 | (912) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2)))
% 38.40/9.92 | (913) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Opcompose(v1, v3, v0) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Rings_Ocomm__semiring__0(v1))
% 38.40/9.92 | (914) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | ~ class_Rings_Ocomm__ring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v3, v0))
% 38.40/9.92 | (915) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.40/9.92 | (916) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v8) = v9) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Ocomm__semiring(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11))
% 38.40/9.92 | (917) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Omult__zero(v1))
% 38.40/9.92 | (918) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5) | ~ (c_Groups_Oone__class_Oone(v2) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v12, v15) = v16) | ~ (c_Polynomial_Osynthetic__div(v2, v0, v1) = v11) | ~ (c_Polynomial_Opoly(v2, v0) = v13) | ~ (c_Polynomial_OpCons(v2, v14, v7) = v15) | ~ (c_Polynomial_OpCons(v2, v6, v7) = v8) | ~ (c_Polynomial_OpCons(v2, v5, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v7) | ~ (hAPP(v13, v1) = v14) | ~ (hAPP(v10, v11) = v12) | ~ (hAPP(v4, v9) = v10) | ~ class_Rings_Ocomm__ring__1(v2))
% 38.40/9.92 | (919) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v6) = v1) | ~ (hAPP(v4, v5) = v7) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v0) | ? [v8] : ? [v9] : ((c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v8 & hAPP(v2, v8) = v9 & ~ hBOOL(v9)) | (hAPP(v2, v6) = v8 & hBOOL(v8))))
% 38.40/9.93 | (920) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__ring__strict(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | (c_Orderings_Oord__class_Oless(v3, v8, v2) & c_Orderings_Oord__class_Oless(v3, v1, v0)) | (c_Orderings_Oord__class_Oless(v3, v2, v8) & c_Orderings_Oord__class_Oless(v3, v0, v1))) & (c_Orderings_Oord__class_Oless(v3, v6, v7) | (( ~ c_Orderings_Oord__class_Oless(v3, v8, v2) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0)) & ( ~ c_Orderings_Oord__class_Oless(v3, v2, v8) | ~ c_Orderings_Oord__class_Oless(v3, v0, v1))))))
% 38.40/9.93 | (921) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v4, v8, v9) = v7 & c_Groups_Oplus__class_Oplus(v4, v3, v2) = v8 & c_Groups_Oplus__class_Oplus(v4, v1, v0) = v9))
% 38.40/9.93 | (922) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oord(v1) | class_Orderings_Oord(v2))
% 38.40/9.93 | (923) ? [v0] : ? [v1] : ? [v2] : ! [v3] : ! [v4] : ( ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : (c_Groups_Ozero__class_Ozero(v4) = v5 & ( ~ (v5 = v0) | ~ (v1 = v0) | c_Polynomial_Opdivmod__rel(v3, v0, v2, v0, v0)) & ( ~ c_Polynomial_Opdivmod__rel(v3, v5, v2, v1, v0) | (v5 = v0 & v1 = v0))))
% 38.40/9.93 | (924) ~ (all_0_0_0 = all_0_1_1)
% 38.40/9.93 | (925) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ (hAPP(all_0_8_8, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_8_8, v7) = v8))
% 38.40/9.93 | (926) ? [v0] : ? [v1] : ! [v2] : (v1 = v0 | ~ class_Rings_Olinordered__idom(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v0, v1))
% 38.40/9.93 | (927) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 38.40/9.93 | (928) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_10_10, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.40/9.93 | (929) class_Orderings_Oorder(tc_HOL_Obool)
% 38.40/9.93 | (930) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Groups_Otimes__class_Otimes(v2) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & hAPP(v7, v1) = v8 & hAPP(v5, v6) = v7 & c_Orderings_Oord__class_Oless(v2, v6, v3) & c_Orderings_Oord__class_Oless(v2, v4, v6) & ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v0)))
% 38.40/9.93 | (931) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Olinordered__semiring__strict(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless(v4, v10, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1))))
% 38.40/9.93 | (932) class_Rings_Ocomm__semiring__1(tc_Nat_Onat)
% 38.40/9.93 | (933) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_0_6_6
% 38.40/9.93 | (934) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v5) = v4))
% 38.40/9.93 | (935) class_Groups_Oone(tc_Int_Oint)
% 38.40/9.93 | (936) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 38.40/9.93 | (937) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v0) | ~ (v1 = v0) | c_Orderings_Oord__class_Oless__eq(v2, v8, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v9) | (v9 = v0 & v1 = v0))))
% 38.40/9.93 | (938) class_Groups_Ouminus(tc_Int_Oint)
% 38.40/9.93 | (939) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Ozero__neq__one(v0) | ? [v2] : ( ~ (v2 = v1) & c_Groups_Oone__class_Oone(v0) = v2))
% 38.40/9.93 | (940) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v5 & c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4))
% 38.40/9.93 | (941) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v4, v5, v0) = v6) | ~ (c_Polynomial_Osmult(v3, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v4, v1, v0) = v7 & c_Polynomial_Osmult(v3, v2, v7) = v6))
% 38.40/9.93 | (942) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v3] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v3 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v3, v1) = v2))
% 38.40/9.93 | (943) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Polynomial_OAbs__poly(v1, v2) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ class_Groups_Ozero(v1))
% 38.40/9.93 | (944) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Omonom(v2, v1, v0) = v4) | ~ (c_Polynomial_OpCons(v2, v3, v4) = v5) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ozero(v2) | ? [v6] : (c_Nat_OSuc(v0) = v6 & c_Polynomial_Omonom(v2, v1, v6) = v5))
% 38.40/9.93 | (945) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Ocoeff(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Ocoeff(v3, v9) = v10 & c_Polynomial_Osmult(v3, v2, v1) = v9 & hAPP(v10, v0) = v8))
% 38.40/9.93 | (946) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v4) = v5) | ~ class_Groups_Ogroup__add(v2))
% 38.40/9.93 | (947) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Omonoid__add(v1))
% 38.40/9.93 | (948) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Polynomial_Odegree(v2, v1) = v8) | ~ (c_Polynomial_Odegree(v2, v0) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v8, v9) = v10) | ~ (c_Polynomial_Ocoeff(v2, v6) = v7) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v7, v10) = v11) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (c_Groups_Otimes__class_Otimes(v2) = v12 & c_Polynomial_Ocoeff(v2, v1) = v13 & c_Polynomial_Ocoeff(v2, v0) = v16 & hAPP(v16, v9) = v17 & hAPP(v15, v17) = v11 & hAPP(v13, v8) = v14 & hAPP(v12, v14) = v15))
% 38.40/9.93 | (949) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v3) = v5 & c_Groups_Ozero__class_Ozero(v3) = v6 & (v6 = v2 | ~ c_Rings_Odvd__class_Odvd(v5, v0, v4) | c_Rings_Odvd__class_Odvd(v5, v0, v1))))
% 38.40/9.93 | (950) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v2, v7) = v6 & hAPP(v4, v0) = v7))
% 38.40/9.93 | (951) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = all_0_16_16) | ? [v2] : ( ~ (v2 = all_0_16_16) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2))
% 38.40/9.93 | (952) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_9_9, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_9_9, v7) = v8))
% 38.40/9.93 | (953) class_Groups_Ocomm__monoid__add(tc_Nat_Onat)
% 38.40/9.93 | (954) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (c_Polynomial_Ocoeff(v2, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ class_Groups_Oab__group__add(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & c_Polynomial_Ocoeff(v2, v1) = v7 & hAPP(v7, v0) = v8))
% 38.40/9.93 | (955) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v3) | ~ class_Rings_Ocomm__ring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v0))
% 38.40/9.93 | (956) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v7) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_HOL_Oequal__class_Oequal(v2) = v9 & c_Groups_Ozero__class_Ozero(v2) = v11 & hAPP(v13, v7) = v14 & hAPP(v10, v11) = v12 & hAPP(v9, v1) = v10 & hAPP(v4, v0) = v13 & ( ~ hBOOL(v14) | ~ hBOOL(v12) | hBOOL(v8)) & ( ~ hBOOL(v8) | (hBOOL(v14) & hBOOL(v12)))))
% 38.40/9.93 | (957) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | hBOOL(v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (hAPP(v2, v1) = v5 & hAPP(all_0_15_15, v0) = v6 & ((v10 = v1 & ~ (v0 = all_0_16_16) & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v9, v8) = v1 & hAPP(v6, v7) = v9 & hAPP(v2, v8) = v11 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v8, v0) & ~ hBOOL(v11)) | (v0 = all_0_16_16 & ~ hBOOL(v5)))))
% 38.40/9.93 | (958) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v0) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) = v8) | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(all_0_8_8, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v8) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v1))
% 38.40/9.93 | (959) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : (c_Groups_Ominus__class_Ominus(v2, v1, v4) = v3 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v4))
% 38.40/9.93 | (960) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_8_8, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5))
% 38.40/9.93 | (961) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Ocoeff(v3, v4) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Otimes__class_Otimes(v3) = v7 & c_Polynomial_Ocoeff(v3, v1) = v9 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v6 & hAPP(v7, v2) = v8))
% 38.40/9.94 | (962) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v1, v0) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : (c_Groups_Oplus__class_Oplus(v4, v7, v8) = v6 & c_Polynomial_Osmult(v3, v2, v1) = v7 & c_Polynomial_Osmult(v3, v2, v0) = v8))
% 38.40/9.94 | (963) ! [v0] : (v0 = all_0_13_13 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_13_13, all_0_16_16) = v0))
% 38.40/9.94 | (964) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_15_15, v1) = v5))
% 38.40/9.94 | (965) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v4) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6))
% 38.40/9.94 | (966) class_Rings_Olinordered__semiring__1(tc_Int_Oint)
% 38.40/9.94 | (967) ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v0) = v2 & ~ c_Orderings_Oord__class_Oless(v0, v1, v2)))
% 38.40/9.94 | (968) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v4) = v5) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Polynomial_Odegree(v2, v9) = v10 & c_Groups_Otimes__class_Otimes(v6) = v7 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v9 & hAPP(v7, v1) = v8 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v10, v5)))
% 38.40/9.94 | (969) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__comm__semiring(v1))
% 38.40/9.94 | (970) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Omonom(v3, v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Osmult(v3, v2, v8) = v7 & c_Polynomial_Omonom(v3, v1, v0) = v8))
% 38.40/9.94 | (971) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | ? [v2] : (c_Groups_Ouminus__class_Ouminus(v1, v2) = v2 & c_Groups_Ozero__class_Ozero(v1) = v2))
% 38.40/9.94 | (972) class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint)
% 38.40/9.94 | (973) class_Rings_Ocomm__semiring__0(tc_Nat_Onat)
% 38.40/9.94 | (974) ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16))
% 38.40/9.94 | (975) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Power_Opower(v1))
% 38.40/9.94 | (976) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_8_8, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v3))
% 38.40/9.94 | (977) class_Orderings_Oorder(tc_Nat_Onat)
% 38.40/9.94 | (978) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1))
% 38.40/9.94 | (979) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ? [v4] : (hAPP(v4, v1) = v3 & hAPP(all_0_15_15, v0) = v4))
% 38.40/9.94 | (980) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : (hAPP(v12, v10) = v13 & hAPP(v6, v13) = v11 & hAPP(v5, v2) = v12))
% 38.40/9.94 | (981) class_Rings_Ono__zero__divisors(tc_Nat_Onat)
% 38.40/9.94 | (982) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 38.40/9.94 | (983) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v2 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Nat_OSuc(v1) = v6) | ~ (hAPP(v8, v6) = v7) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v8) | ~ class_Rings_Olinordered__semidom(v3) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2) | ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0))))
% 38.40/9.94 | (984) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_0_5_5
% 38.40/9.94 | (985) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v3, v2) = v4) | ~ (c_Polynomial_Odegree(v3, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v1) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v3, v7) = v8 & c_Groups_Oplus__class_Oplus(v6, v2, v0) = v7 & tc_Polynomial_Opoly(v3) = v6 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v1)))
% 38.40/9.94 | (986) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (c_Polynomial_Opoly(v3, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & c_Polynomial_Opoly(v3, v2) = v8 & c_Polynomial_Opoly(v3, v1) = v10 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9))
% 38.40/9.94 | (987) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Osmult(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__0(v1) | ? [v4] : (tc_Polynomial_Opoly(v1) = v4 & c_Groups_Ozero__class_Ozero(v4) = v3))
% 38.40/9.94 | (988) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v2, v1) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ class_Divides_Oring__div(v3) | ? [v5] : ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v1) = v6 & c_Divides_Odiv__class_Omod(v3, v5, v1) = v6 & c_Groups_Ouminus__class_Ouminus(v3, v2) = v5 & c_Groups_Ouminus__class_Ouminus(v3, v0) = v7))
% 38.40/9.94 | (989) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Osynthetic__div(v2, v1, v0) = v3) | ~ (c_Polynomial_Opoly(v2, v1) = v4) | ~ (c_Polynomial_OpCons(v2, v5, v3) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v7] : ? [v8] : (c_Groups_Oplus__class_Oplus(v7, v1, v8) = v6 & c_Polynomial_Osmult(v2, v0, v3) = v8 & tc_Polynomial_Opoly(v2) = v7))
% 38.40/9.94 | (990) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v4) | ~ (c_Polynomial_Osmult(v2, v1, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Rings_Ocomm__ring(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v3, v6) = v5 & c_Polynomial_Osmult(v2, v1, v0) = v6))
% 38.40/9.94 | (991) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_16_16 | ~ (hAPP(v1, all_0_16_16) = v2) | ~ (hAPP(all_0_15_15, v0) = v1))
% 38.40/9.94 | (992) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v2, v3))))
% 38.40/9.94 | (993) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless__eq(v3, v0, v1))
% 38.40/9.94 | (994) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v1) = v10))
% 38.40/9.94 | (995) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v4) | ~ (hAPP(v10, v0) = v11) | ~ (hAPP(v9, v11) = v12) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v4, v8) = v9) | ~ (hAPP(v3, v6) = v7) | ~ (hAPP(v3, v1) = v10) | ~ class_Rings_Oring__1(v2) | ? [v13] : ? [v14] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v13 & hAPP(v14, v0) = v12 & hAPP(v3, v13) = v14))
% 38.40/9.94 | (996) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v7) | ~ (hAPP(v4, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v0, v9)))
% 38.40/9.94 | (997) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Fields_Ofield(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Otimes__class_Otimes(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v11, v4) = v12 & hAPP(v9, v3) = v10 & hAPP(v7, v10) = v11 & hAPP(v7, v8) = v9 & (v12 = v5 | v6 = v1 | v6 = v0)))
% 38.40/9.94 | (998) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ? [v3] : (hAPP(all_0_8_8, v0) = v3 & ! [v4] : ~ (hAPP(v3, v4) = v1)))
% 38.40/9.94 | (999) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (c_Polynomial_Opoly__rec(v6, v5, v4, v3, v2) = v1) | ~ (c_Polynomial_Opoly__rec(v6, v5, v4, v3, v2) = v0))
% 38.40/9.94 | (1000) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Oorder(v2, v0, v1) = v3) | ~ class_Rings_Oidom(v2) | ? [v4] : ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v6 & tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & (v5 = v1 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v6))))
% 38.40/9.94 | (1001) class_Rings_Osemiring__0(tc_Nat_Onat)
% 38.40/9.94 | (1002) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v2 | ~ (c_Polynomial_Opoly__gcd(v3, v1, v0) = v7) | ~ (c_Polynomial_Odegree(v3, v2) = v5) | ~ (c_Polynomial_Ocoeff(v3, v2) = v4) | ~ (hAPP(v4, v5) = v6) | ~ class_Fields_Ofield(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oone__class_Oone(v3) = v11 & tc_Polynomial_Opoly(v3) = v8 & c_Groups_Ozero__class_Ozero(v8) = v9 & c_Groups_Ozero__class_Ozero(v3) = v10 & ( ~ c_Rings_Odvd__class_Odvd(v8, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v8, v2, v0) | (v9 = v0 & v1 = v0 & ~ (v10 = v6)) | ( ~ (v11 = v6) & ( ~ (v9 = v0) | ~ (v1 = v0))) | (c_Rings_Odvd__class_Odvd(v8, v12, v1) & c_Rings_Odvd__class_Odvd(v8, v12, v0) & ~ c_Rings_Odvd__class_Odvd(v8, v12, v2)))))
% 38.40/9.94 | (1003) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v1, v5) = v6 & c_Groups_Oone__class_Oone(v1) = v5 & ( ~ (v5 = v4) | v6 = v0 | v4 = v0) & (v5 = v4 | ( ~ (v6 = v0) & ~ (v5 = v0)))))
% 38.40/9.94 | (1004) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0))
% 38.40/9.94 | (1005) class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat)
% 38.40/9.94 | (1006) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v2) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ (v16 = v0) | v12 = v9) & ( ~ (v12 = v9) | v16 = v0)))
% 38.40/9.94 | (1007) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tc_fun(v2, v3) = v4) | ~ (hAPP(v1, v5) = v6) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | ? [v7] : (hAPP(v0, v5) = v7 & c_Orderings_Oord__class_Oless__eq(v3, v6, v7)))
% 38.40/9.95 | (1008) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v8, v0) = v9) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v6) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v5, v6) = v7) | ~ class_Rings_Osemiring(v4) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Groups_Oplus__class_Oplus(v4, v13, v0) = v14 & c_Groups_Oplus__class_Oplus(v4, v11, v14) = v9 & hAPP(v12, v2) = v13 & hAPP(v10, v2) = v11 & hAPP(v5, v3) = v10 & hAPP(v5, v1) = v12))
% 38.40/9.95 | (1009) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring__1(v0) | class_Rings_Ocomm__ring__1(v1))
% 38.40/9.95 | (1010) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v4, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v6] : ? [v7] : (c_Groups_Ominus__class_Ominus(v3, v6, v1) = v7 & c_Divides_Odiv__class_Omod(v3, v7, v0) = v5 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v6))
% 38.40/9.95 | (1011) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_15_15, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v9) = v5 & hAPP(v8, v0) = v9 & hAPP(v6, v0) = v7 & hAPP(all_0_15_15, v2) = v6 & hAPP(all_0_15_15, v1) = v8))
% 38.53/9.95 | (1012) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, all_0_6_6) | c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2)
% 38.53/9.95 | (1013) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower_Opower(v4, v3, v2) = v5) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v2, v1) = v7) | ? [v10] : (c_Nat_OSuc(v0) = v10 & hAPP(v6, v10) = v9))
% 38.53/9.95 | (1014) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v4) = v5) | ~ (c_Polynomial_Osmult(v2, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Rings_Ocomm__ring(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & c_Polynomial_Osmult(v2, v6, v0) = v5))
% 38.53/9.95 | (1015) class_Rings_Oring__1(tc_Int_Oint)
% 38.53/9.95 | (1016) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Otimes__class_Otimes(v3) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v11) = v6 & c_Polynomial_Opoly(v3, v1) = v9 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v11 & hAPP(v7, v0) = v8))
% 38.53/9.95 | (1017) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.95 | (1018) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Power_Opower__class_Opower(v3) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v8) = v9) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : (c_Polynomial_Opoly(v3, v10) = v11 & c_Polynomial_Omonom(v3, v2, v1) = v10 & hAPP(v11, v0) = v9))
% 38.53/9.95 | (1019) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v4, v10, v12) = v8 & hAPP(v11, v0) = v12 & hAPP(v9, v0) = v10 & hAPP(v5, v2) = v9 & hAPP(v5, v1) = v11))
% 38.53/9.95 | (1020) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__ring(v1))
% 38.53/9.95 | (1021) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 38.53/9.95 | (1022) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 38.53/9.95 | (1023) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v1) = v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0))
% 38.53/9.95 | (1024) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1))
% 38.53/9.95 | (1025) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_Onat_Onat__size(v2) = v1) | ~ (c_Nat_Onat_Onat__size(v2) = v0))
% 38.53/9.95 | (1026) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Divides_Odiv__class_Omod(v3, v8, v0) = v9) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v5) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v10] : ? [v11] : (c_Divides_Odiv__class_Omod(v3, v11, v0) = v9 & hAPP(v10, v1) = v11 & hAPP(v4, v2) = v10))
% 38.53/9.95 | (1027) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_15_15, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2))
% 38.53/9.95 | (1028) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Power_Opower(v1) | ? [v4] : (c_Groups_Oone__class_Oone(v1) = v4 & hAPP(v3, all_0_16_16) = v4))
% 38.53/9.95 | (1029) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 38.53/9.95 | (1030) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : (c_Polynomial_Opoly__gcd(v2, v1, v5) = v3 & c_Groups_Ouminus__class_Ouminus(v4, v0) = v5 & tc_Polynomial_Opoly(v2) = v4))
% 38.53/9.95 | (1031) c_Polynomial_OpCons(t_a, v_a, all_0_2_2) = all_0_1_1
% 38.53/9.95 | (1032) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 38.53/9.95 | (1033) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2))
% 38.53/9.95 | (1034) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 38.53/9.95 | (1035) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 38.53/9.95 | (1036) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v3, v4))
% 38.53/9.95 | (1037) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Osmult(v1, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Rings_Ocomm__semiring__0(v1))
% 38.53/9.95 | (1038) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v0, v1) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v1) = v7 & c_Nat_OSuc(v7) = v8 & tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & ( ~ (v6 = v1) | v4 = all_0_16_16) & (v8 = v4 | v6 = v1)))
% 38.53/9.95 | (1039) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1))
% 38.53/9.95 | (1040) class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat)
% 38.53/9.95 | (1041) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.53/9.95 | (1042) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_HOL_Oequal__class_Oequal(v5) = v6) | ~ (c_HOL_Oequal__class_Oequal(v4) = v7) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v10, v0) = v11) | ~ (hAPP(v8, v1) = v9) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v2) = v10) | ~ class_HOL_Oequal(v4) | ~ class_Groups_Ozero(v4) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (c_Polynomial_OpCons(v4, v3, v2) = v12 & c_Polynomial_OpCons(v4, v1, v0) = v14 & hAPP(v13, v14) = v15 & hAPP(v6, v12) = v13 & ( ~ hBOOL(v15) | (hBOOL(v11) & hBOOL(v9))) & ( ~ hBOOL(v11) | ~ hBOOL(v9) | hBOOL(v15))))
% 38.53/9.95 | (1043) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Omonoid__mult(v1))
% 38.53/9.95 | (1044) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : (c_Divides_Odiv__class_Omod(v3, v8, v0) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v8))
% 38.53/9.95 | (1045) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring__1(v0) | class_Rings_Oring__1(v1))
% 38.53/9.95 | (1046) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semidom(v1))
% 38.53/9.95 | (1047) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v1, v2) = v3) | ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_15_15, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3))
% 38.53/9.95 | (1048) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 38.53/9.95 | (1049) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2))
% 38.53/9.95 | (1050) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless(v2, v8, v7) | ? [v9] : ? [v10] : (c_Groups_Oone__class_Oone(v2) = v10 & c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ c_Orderings_Oord__class_Oless(v2, v9, v1) | ~ c_Orderings_Oord__class_Oless(v2, v1, v10))))
% 38.53/9.95 | (1051) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5))
% 38.53/9.96 | (1052) ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_12_12, v0) = v1))
% 38.53/9.96 | (1053) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v2 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v1) = v6) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ class_Rings_Olinordered__semidom(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2) | ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))))
% 38.53/9.96 | (1054) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Odegree(v2, v6) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v8] : ? [v9] : ? [v10] : (c_Polynomial_Odegree(v2, v1) = v8 & c_Polynomial_Odegree(v2, v0) = v9 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v8, v9) = v10 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v7, v10)))
% 38.53/9.96 | (1055) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Omonoid__mult(v1))
% 38.53/9.96 | (1056) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Oorder(v4, v3, v2) = v1) | ~ (c_Polynomial_Oorder(v4, v3, v2) = v0))
% 38.53/9.96 | (1057) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & hAPP(v4, v5) = v7 & hAPP(v3, v5) = v6))
% 38.53/9.96 | (1058) ? [v0] : ! [v1] : ! [v2] : ( ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Fields_Ofield(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v2) = v3 & c_Polynomial_Opdivmod__rel(v1, v0, v3, v3, v0)))
% 38.53/9.96 | (1059) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Oidom(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Oorder(v2, v0, v1) = v8 & tc_Polynomial_Opoly(v2) = v6 & c_Groups_Ozero__class_Ozero(v6) = v7 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ (v8 = all_0_16_16) | ~ (v5 = v4) | v7 = v1) & (v5 = v4 | (v8 = all_0_16_16 & ~ (v7 = v1)))))
% 38.53/9.96 | (1060) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_5_5, v0))
% 38.53/9.96 | (1061) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | v0 = all_0_13_13 | ~ (hAPP(v2, v0) = v1) | ~ (hAPP(all_0_15_15, v1) = v2))
% 38.53/9.96 | (1062) class_HOL_Oequal(tc_HOL_Obool)
% 38.53/9.96 | (1063) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v1, v0) = v6) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v4, v8, v9) = v7 & c_Groups_Oplus__class_Oplus(v4, v3, v1) = v8 & c_Groups_Oplus__class_Oplus(v4, v2, v0) = v9))
% 38.53/9.96 | (1064) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_Onat_Onat__case(v2, v1, v0) = v3) | hAPP(v3, all_0_16_16) = v1)
% 38.53/9.96 | (1065) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ hBOOL(v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v0) | ? [v5] : ? [v6] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6)))
% 38.53/9.96 | (1066) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~ (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0))
% 38.53/9.96 | (1067) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4))
% 38.53/9.96 | (1068) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v1) = v11 & hAPP(v8, v1) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v0) = v10))
% 38.53/9.96 | (1069) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v3, v1, v0) | ~ class_Rings_Ocomm__semiring__1(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v0))
% 38.53/9.96 | (1070) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1))
% 38.53/9.96 | (1071) class_Groups_Ocomm__monoid__mult(tc_Nat_Onat)
% 38.53/9.96 | (1072) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_13_13 | ~ (hAPP(v2, v0) = all_0_13_13) | ~ (hAPP(all_0_15_15, v1) = v2))
% 38.53/9.96 | (1073) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_15_15, v8) = v9))
% 38.53/9.96 | (1074) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v5, v7) = v8) | ~ (c_Polynomial_Ocoeff(v3, v2) = v4) | ~ (c_Polynomial_Ocoeff(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v9, v2, v1) = v10 & c_Polynomial_Ocoeff(v3, v10) = v11 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8))
% 38.53/9.96 | (1075) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__cancel__semiring(v1))
% 38.53/9.96 | (1076) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v1))
% 38.53/9.96 | (1077) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4) | ~ class_Groups_Ogroup__add(v2))
% 38.53/9.96 | (1078) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Ocomm__ring__1(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v6)
% 38.53/9.96 | (1079) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 38.53/9.96 | (1080) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Lattices_Oboolean__algebra(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))
% 38.53/9.96 | (1081) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Lattices_Oboolean__algebra(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 38.53/9.96 | (1082) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Olinorder(v2))
% 38.53/9.96 | (1083) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | c_Orderings_Oord__class_Oless(v1, v3, v0)) & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 38.53/9.96 | (1084) class_Rings_Omult__zero(tc_Int_Oint)
% 38.53/9.96 | (1085) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (c_Divides_Odiv__class_Omod(v3, v6, v1) = v7) | ~ (c_Divides_Odiv__class_Omod(v3, v4, v1) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v0) = v6) | ~ class_Divides_Oring__div(v3) | ? [v8] : ? [v9] : ( ~ (v9 = v8) & c_Divides_Odiv__class_Omod(v3, v2, v1) = v8 & c_Divides_Odiv__class_Omod(v3, v0, v1) = v9))
% 38.53/9.96 | (1086) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring(v1))
% 38.53/9.96 | (1087) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v5, v0) = v3 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v4) = v5))
% 38.53/9.96 | (1088) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v4) = v5) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v5)
% 38.53/9.96 | (1089) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v8, v9) = v6 & hAPP(v7, v1) = v8 & hAPP(v4, v0) = v9))
% 38.53/9.96 | (1090) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v6, v0) | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 38.53/9.96 | (1091) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Odvd(v1))
% 38.53/9.96 | (1092) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Opcompose(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v1) = v5 & c_Polynomial_Odegree(v2, v0) = v7 & hAPP(v6, v7) = v8 & hAPP(all_0_15_15, v5) = v6 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v8)))
% 38.53/9.96 | (1093) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Osmult(v3, v2, v1) = v9 & c_Polynomial_Opoly(v3, v9) = v10 & hAPP(v10, v0) = v8))
% 38.53/9.96 | (1094) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Divides_Odiv__class_Omod(v4, v3, v2) = v1) | ~ (c_Divides_Odiv__class_Omod(v4, v3, v2) = v0))
% 38.53/9.96 | (1095) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))
% 38.53/9.96 | (1096) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ hBOOL(v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) & ~ hBOOL(v9)) | (v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))))
% 38.53/9.96 | (1097) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v4, v2) = v5) | ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | c_Divides_Odiv__class_Omod(v3, v0, v2) = v5)
% 38.53/9.97 | (1098) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_0_6_6) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, all_0_6_6))
% 38.53/9.97 | (1099) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Divides_Odiv__class_Omod(v3, v9, v11) = v7 & hAPP(v10, v1) = v11 & hAPP(v8, v1) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v0) = v10))
% 38.53/9.97 | (1100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.97 | (1101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Polynomial_Omonom(v2, v3, v0) = v4) | ~ class_Groups_Oab__group__add(v2) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v5, v6) = v4 & c_Polynomial_Omonom(v2, v1, v0) = v6 & tc_Polynomial_Opoly(v2) = v5))
% 38.53/9.97 | (1102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ class_Fields_Ofield(v2) | ? [v5] : (c_Divides_Odiv__class_Omod(v5, v1, v0) = v1 & tc_Polynomial_Opoly(v2) = v5))
% 38.53/9.97 | (1103) class_Groups_Ocancel__semigroup__add(tc_Nat_Onat)
% 38.53/9.97 | (1104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v1) = v7) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_8_8, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_6_6) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, all_0_6_6))
% 38.53/9.97 | (1105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v5) = v6) | ~ (hAPP(all_0_8_8, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | ~ hBOOL(v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v2) = v9 & hAPP(v1, v9) = v10 & hAPP(v1, v7) = v8 & hBOOL(v8) & ~ hBOOL(v10)) | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v4) = v7 & hAPP(v1, v7) = v8 & hBOOL(v8))))
% 38.53/9.97 | (1106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v9 & hAPP(v5, v9) = v8))
% 38.53/9.97 | (1107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ (hAPP(all_0_8_8, v4) = v5) | ~ (hAPP(all_0_9_9, v2) = v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v8 & hAPP(v3, v8) = v7))
% 38.53/9.97 | (1108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Odivision__ring(v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v1) = v7 & c_Groups_Ozero__class_Ozero(v1) = v6 & (v7 = v5 | v6 = v0)))
% 38.53/9.97 | (1109) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))
% 38.53/9.97 | (1110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v4] : (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v4 & c_Groups_Ouminus__class_Ouminus(v2, v4) = v3))
% 38.53/9.97 | (1111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v1, v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v1))
% 38.53/9.97 | (1112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (c_Groups_Ominus__class_Ominus(v2, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2))
% 38.53/9.97 | (1113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v1, v4) = v5) | ~ (hAPP(v1, v0) = v6) | ~ hBOOL(v5) | ~ class_Groups_Ozero(v2) | hBOOL(v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_OpCons(v2, v7, v8) = v10 & hAPP(v1, v10) = v11 & hAPP(v1, v8) = v9 & hBOOL(v9) & ~ hBOOL(v11)))
% 38.53/9.97 | (1114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_RealVector_Oreal__normed__algebra(v1))
% 38.53/9.97 | (1115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.97 | (1116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 38.53/9.97 | (1117) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Groups_Oone__class_Oone(v2) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & hAPP(v7, v1) = v8 & hAPP(v3, v6) = v7 & c_Orderings_Oord__class_Oless(v2, v6, v5) & c_Orderings_Oord__class_Oless(v2, v4, v6) & ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v0)))
% 38.53/9.97 | (1118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v3) | ~ class_Groups_Ozero(v2))
% 38.53/9.97 | (1119) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_0_6_6) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_5_5, v0) = v1))
% 38.53/9.97 | (1120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v3) | v1 = v0) & ( ~ (v1 = v0) | v4 = v3)))
% 38.53/9.97 | (1121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v6) | c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 38.53/9.97 | (1122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0))
% 38.53/9.97 | (1123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Lattices_Oboolean__algebra(v1))
% 38.53/9.97 | (1124) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4 & c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v0) = v3))
% 38.53/9.97 | (1125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (c_Polynomial_Ocoeff(v3, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & c_Polynomial_Ocoeff(v3, v2) = v8 & c_Polynomial_Ocoeff(v3, v1) = v10 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9))
% 38.53/9.97 | (1126) class_HOL_Oequal(tc_Int_Oint)
% 38.53/9.97 | (1127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v8) = v10) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v6, v10) = v11) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v9) | ~ (hAPP(v5, v1) = v7) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : (hAPP(v13, v8) = v11 & hAPP(v6, v2) = v12 & hAPP(v5, v12) = v13))
% 38.53/9.97 | (1128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless(v3, v5, v2)))
% 38.53/9.97 | (1129) class_Groups_Oab__semigroup__mult(tc_Nat_Onat)
% 38.53/9.97 | (1130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~ class_Rings_Odivision__ring(v1) | ? [v4] : ? [v5] : ? [v6] : (c_Rings_Oinverse__class_Oinverse(v1, v5) = v6 & c_Groups_Ouminus__class_Ouminus(v1, v0) = v5 & c_Groups_Ozero__class_Ozero(v1) = v4 & (v6 = v3 | v4 = v0)))
% 38.53/9.97 | (1131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v8) = v9) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v10 & hAPP(v11, v1) = v9 & hAPP(v4, v10) = v11))
% 38.53/9.97 | (1132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5 & c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v5 = v0) | v4 = v3) & ( ~ (v4 = v3) | v5 = v0)))
% 38.53/9.97 | (1133) class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat)
% 38.53/9.97 | (1134) class_Rings_Odvd(tc_Nat_Onat)
% 38.53/9.97 | (1135) class_Groups_Ocancel__semigroup__add(tc_Int_Oint)
% 38.53/9.97 | (1136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v9] : (c_Groups_Oone__class_Oone(v2) = v9 & ( ~ c_Orderings_Oord__class_Oless(v2, v9, v1) | c_Orderings_Oord__class_Oless(v2, v9, v8))))
% 38.53/9.97 | (1137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v4, v5) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v5) | ~ class_Divides_Oring__div(v3) | ? [v8] : (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v8 & c_Divides_Odiv__class_Omod(v3, v8, v0) = v7))
% 38.53/9.97 | (1138) ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v0)
% 38.53/9.97 | (1139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ hBOOL(v6) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2))
% 38.53/9.97 | (1140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v0, v1) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v1) = v7 & c_Nat_OSuc(v7) = v8 & tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & (v8 = v4 | v6 = v1)))
% 38.53/9.97 | (1141) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Opreorder(v1))
% 38.53/9.97 | (1142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_Onat_Onat__case(v2, v1, v3) = v4) | ~ (c_Polynomial_Ocoeff(v2, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : (c_Polynomial_Ocoeff(v2, v5) = v4 & c_Polynomial_OpCons(v2, v1, v0) = v5))
% 38.53/9.97 | (1143) ? [v0] : ? [v1] : (v1 = v0 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 38.53/9.97 | (1144) class_Groups_Ozero(tc_Nat_Onat)
% 38.53/9.97 | (1145) hAPP(all_0_8_8, all_0_5_5) = all_0_4_4
% 38.53/9.97 | (1146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3))
% 38.53/9.98 | (1147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (c_Polynomial_Opoly(v2, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__ring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & c_Polynomial_Opoly(v2, v1) = v7 & hAPP(v7, v0) = v8))
% 38.53/9.98 | (1148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Olinordered__idom(v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & ( ~ c_Polynomial_Opos__poly(v1, v0) | c_Orderings_Oord__class_Oless(v1, v5, v4)) & ( ~ c_Orderings_Oord__class_Oless(v1, v5, v4) | c_Polynomial_Opos__poly(v1, v0))))
% 38.53/9.98 | (1149) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.98 | (1150) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 38.53/9.98 | (1151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v4, v1, v0) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Fields_Ofield(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v4, v7, v0) = v6 & c_Polynomial_Osmult(v3, v2, v1) = v7))
% 38.53/9.98 | (1152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v3) | v1 = v0) & ( ~ (v1 = v0) | v4 = v3)))
% 38.53/9.98 | (1153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ? [v4] : ( ~ (v4 = all_0_6_6) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4))
% 38.53/9.98 | (1154) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Groups_Ouminus(v1) | class_Groups_Ouminus(v2))
% 38.53/9.98 | (1155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7))
% 38.53/9.98 | (1156) class_Groups_Omonoid__mult(tc_Int_Oint)
% 38.53/9.98 | (1157) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1))
% 38.53/9.98 | (1158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v1) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 38.53/9.98 | (1159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 38.53/9.98 | (1160) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.98 | (1161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(v4, v1, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Groups_Oordered__ab__group__add(v4) | c_Orderings_Oord__class_Oless(v4, v3, v2))
% 38.53/9.98 | (1162) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : (c_Nat_OSuc(v1) = v3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3)))
% 38.53/9.98 | (1163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v1))
% 38.53/9.98 | (1164) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0))
% 38.53/9.98 | (1165) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & ( ~ c_Rings_Odvd__class_Odvd(v5, v0, v2) | ~ c_Rings_Odvd__class_Odvd(v5, v0, v1) | c_Rings_Odvd__class_Odvd(v5, v0, v4))))
% 38.53/9.98 | (1166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Omonom(v2, v0, v1) = v4) | ~ (c_Polynomial_Omonom(v2, v0, v1) = v3) | ~ class_Groups_Ozero(v2))
% 38.53/9.98 | (1167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_OAbs__poly(v3, v2) = v1) | ~ (c_Polynomial_OAbs__poly(v3, v2) = v0))
% 38.53/9.98 | (1168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Odivision__ring(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v10 & c_Rings_Oinverse__class_Oinverse(v2, v0) = v8 & c_Groups_Ozero__class_Ozero(v2) = v7 & hAPP(v9, v10) = v11 & hAPP(v3, v8) = v9 & (v11 = v6 | v7 = v1 | v7 = v0)))
% 38.53/9.98 | (1169) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, all_0_16_16) = v5) | ~ (hAPP(v2, all_0_16_16) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ (hAPP(all_0_15_15, v0) = v4))
% 38.53/9.98 | (1170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Groups_Omonoid__mult(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Otimes__class_Otimes(v3) = v8 & hAPP(v10, v11) = v7 & hAPP(v8, v9) = v10 & hAPP(v5, v1) = v9 & hAPP(v5, v0) = v11))
% 38.53/9.98 | (1171) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v9, v0)))
% 38.53/9.98 | (1172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v7 & hAPP(v8, v0) = v6 & hAPP(v3, v7) = v8))
% 38.53/9.98 | (1173) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Opreorder(v2))
% 38.53/9.98 | (1174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_Onat_Onat__case(v3, v2, v1) = v4) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | hAPP(v1, v0) = v6)
% 38.53/9.98 | (1175) class_Rings_Osemiring(tc_Nat_Onat)
% 38.53/9.98 | (1176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4))
% 38.53/9.98 | (1177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.98 | (1178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))
% 38.53/9.98 | (1179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ class_Rings_Oidom(v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) | ? [v5] : ? [v6] : (tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & (v6 = v0 | ~ c_Rings_Odvd__class_Odvd(v5, v1, v0))))
% 38.53/9.98 | (1180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower_Opower(v0, v1, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ (c_Groups_Otimes__class_Otimes(v0) = v2) | ~ class_Power_Opower(v0) | c_Power_Opower__class_Opower(v0) = v3)
% 38.53/9.98 | (1181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v5, v7) = v8) | ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v9, v2, v1) = v10 & c_Polynomial_Opoly(v3, v10) = v11 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8))
% 38.53/9.98 | (1182) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Olinordered__semiring__strict(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless(v4, v10, v1) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v3))))
% 38.53/9.98 | (1183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Groups_Oplus__class_Oplus(v2, v0, v1) = v3)
% 38.53/9.98 | (1184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | hBOOL(v4))
% 38.53/9.98 | (1185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v4))
% 38.53/9.98 | (1186) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v2, v3))))
% 38.53/9.98 | (1187) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Olinordered__idom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v7))))
% 38.53/9.98 | (1188) class_Groups_Oone(tc_Nat_Onat)
% 38.53/9.98 | (1189) class_Int_Oring__char__0(tc_Int_Oint)
% 38.53/9.98 | (1190) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__semigroup__add__imp__le(v1))
% 38.53/9.98 | (1191) class_Rings_Olinordered__semidom(tc_Int_Oint)
% 38.53/9.98 | (1192) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oidom(v2) | ? [v6] : ? [v7] : ? [v8] : (hAPP(v7, all_0_11_11) = v8 & hAPP(v4, all_0_11_11) = v6 & hAPP(v3, v0) = v7 & ( ~ (v8 = v6) | v5 = v1 | v1 = v0) & (v8 = v6 | ( ~ (v5 = v1) & ~ (v1 = v0)))))
% 38.53/9.98 | (1193) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v4 = v1 | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v7) | ~ (c_Polynomial_Oorder(v2, v0, v1) = v11) | ~ (c_Nat_OSuc(v11) = v12) | ~ (c_Polynomial_OpCons(v2, v7, v4) = v8) | ~ (c_Polynomial_OpCons(v2, v6, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v10, v12) = v13) | ~ (hAPP(v5, v9) = v10) | ~ c_Rings_Odvd__class_Odvd(v3, v13, v1) | ~ class_Rings_Oidom(v2))
% 38.53/9.98 | (1194) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v7] : ? [v8] : (c_Groups_Oone__class_Oone(v2) = v8 & c_Groups_Ozero__class_Ozero(v2) = v7 & ( ~ c_Orderings_Oord__class_Oless(v2, v7, v1) | ~ c_Orderings_Oord__class_Oless(v2, v1, v8) | c_Orderings_Oord__class_Oless(v2, v6, v8))))
% 38.53/9.98 | (1195) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_HOL_Oequal__class_Oequal(v3) = v4) | ~ (c_HOL_Oequal__class_Oequal(v2) = v7) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v5) | ~ (c_Groups_Ozero__class_Ozero(v2) = v8) | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v0) = v11) | ~ (hAPP(v4, v5) = v6) | ~ class_HOL_Oequal(v2) | ~ class_Groups_Ozero(v2) | ? [v12] : ? [v13] : (c_Polynomial_OpCons(v2, v1, v0) = v12 & hAPP(v6, v12) = v13 & ( ~ hBOOL(v13) | (hBOOL(v11) & hBOOL(v10))) & ( ~ hBOOL(v11) | ~ hBOOL(v10) | hBOOL(v13))))
% 38.53/9.99 | (1196) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v4 = v1 | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Oone__class_Oone(v2) = v7) | ~ (c_Polynomial_Oorder(v2, v0, v1) = v11) | ~ (c_Polynomial_OpCons(v2, v7, v4) = v8) | ~ (c_Polynomial_OpCons(v2, v6, v8) = v9) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (hAPP(v10, v11) = v12) | ~ (hAPP(v5, v9) = v10) | ~ class_Rings_Oidom(v2) | ? [v13] : ? [v14] : (c_Nat_OSuc(v11) = v13 & hAPP(v10, v13) = v14 & ~ c_Rings_Odvd__class_Odvd(v3, v14, v1)))
% 38.53/9.99 | (1197) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0))
% 38.53/9.99 | (1198) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Osemiring__0(v2) | ~ class_Rings_Odvd(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ( ! [v12] : ! [v13] : ! [v14] : ( ~ (hAPP(v4, v12) = v13) | ~ (hAPP(v0, v13) = v14) | ~ hBOOL(v14)) | (c_Groups_Oplus__class_Oplus(v2, v9, v5) = v10 & hAPP(v0, v9) = v11 & c_Rings_Odvd__class_Odvd(v2, v1, v10) & hBOOL(v11))) & ((hAPP(v4, v6) = v7 & hAPP(v0, v7) = v8 & hBOOL(v8)) | ( ! [v12] : ! [v13] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v12, v5) = v13) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v13) | ? [v14] : (hAPP(v0, v12) = v14 & ~ hBOOL(v14))) & ! [v12] : ! [v13] : ( ~ (hAPP(v0, v12) = v13) | ~ hBOOL(v13) | ? [v14] : (c_Groups_Oplus__class_Oplus(v2, v12, v5) = v14 & ~ c_Rings_Odvd__class_Odvd(v2, v1, v14)))))))
% 38.53/9.99 | (1199) class_Groups_Omonoid__mult(tc_Nat_Onat)
% 38.53/9.99 | (1200) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2))
% 38.53/9.99 | (1201) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v1) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v6) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(all_0_8_8, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v3) | ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v9 & ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v9) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v8)) & ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v8) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v9))))
% 38.53/9.99 | (1202) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__idom(v1))
% 38.53/9.99 | (1203) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.99 | (1204) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Fields_Ofield(v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v1) = v7 & c_Groups_Ozero__class_Ozero(v1) = v6 & (v7 = v5 | v6 = v0)))
% 38.53/9.99 | (1205) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Lattices_Oboolean__algebra(v1))
% 38.53/9.99 | (1206) c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, all_0_5_5)
% 38.53/9.99 | (1207) class_Rings_Olinordered__ring(tc_Int_Oint)
% 38.53/9.99 | (1208) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v8] : ? [v9] : (c_Rings_Oinverse__class_Oinverse(v2, v9) = v7 & hAPP(v8, v0) = v9 & hAPP(v3, v1) = v8))
% 38.53/9.99 | (1209) ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = all_0_16_16) | ? [v2] : ? [v3] : (hAPP(v2, v3) = v1 & hAPP(all_0_15_15, v0) = v2))
% 38.53/9.99 | (1210) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 38.53/9.99 | (1211) ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 38.53/9.99 | (1212) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v10) = v11) | ~ (c_Polynomial_Opcompose(v3, v1, v0) = v9) | ~ (c_Polynomial_OpCons(v3, v2, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Groups_Ozero__class_Ozero(v4) = v5) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v7, v0) = v8) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v12] : (c_Polynomial_Opcompose(v3, v12, v0) = v11 & c_Polynomial_OpCons(v3, v2, v1) = v12))
% 38.53/9.99 | (1213) class_Rings_Osemiring(tc_Int_Oint)
% 38.53/9.99 | (1214) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v0, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5))
% 38.53/9.99 | (1215) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | c_Orderings_Oord__class_Oless(v2, v0, v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v2) = v5 & ~ c_Orderings_Oord__class_Oless(v2, v5, v1)))
% 38.53/9.99 | (1216) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.99 | (1217) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osmult(v3, v2, v4) = v5) | ~ (c_Polynomial_Omonom(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Otimes__class_Otimes(v3) = v6 & c_Polynomial_Omonom(v3, v8, v0) = v5 & hAPP(v7, v1) = v8 & hAPP(v6, v2) = v7))
% 38.53/9.99 | (1218) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_6_6, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_5_5))
% 38.53/9.99 | (1219) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v11, v0) = v12) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v2) = v9) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v1) = v10) | ~ class_Rings_Oordered__ring(v5) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Groups_Ominus__class_Ominus(v5, v1, v4) = v13 & c_Groups_Oplus__class_Oplus(v5, v15, v0) = v16 & hAPP(v14, v3) = v15 & hAPP(v6, v13) = v14 & ( ~ c_Orderings_Oord__class_Oless(v5, v9, v12) | c_Orderings_Oord__class_Oless(v5, v2, v16)) & ( ~ c_Orderings_Oord__class_Oless(v5, v2, v16) | c_Orderings_Oord__class_Oless(v5, v9, v12))))
% 38.53/9.99 | (1220) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v0) | ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v3, v2)) & ( ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | (c_Orderings_Oord__class_Oless(v1, v4, v0) & c_Orderings_Oord__class_Oless(v1, v0, v3)))))
% 38.53/9.99 | (1221) class_Rings_Omult__zero(tc_Nat_Onat)
% 38.53/9.99 | (1222) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Odivision__ring__inverse__zero(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1)
% 38.53/9.99 | (1223) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Divides_Odiv__class_Omod(v5, v10, v3) = v11) | ~ (c_Divides_Odiv__class_Omod(v5, v2, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v0, v3) = v7) | ~ (c_Groups_Otimes__class_Otimes(v5) = v8) | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v8, v4) = v9) | ~ class_Divides_Osemiring__div(v5) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Divides_Odiv__class_Omod(v5, v15, v3) = v16 & c_Divides_Odiv__class_Omod(v5, v4, v3) = v12 & c_Divides_Odiv__class_Omod(v5, v1, v3) = v13 & hAPP(v14, v0) = v15 & hAPP(v8, v2) = v14 & ( ~ (v13 = v7) | ~ (v12 = v6) | v16 = v11)))
% 38.53/9.99 | (1224) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v2, v5, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Divides_Osemiring__div(v2) | c_Groups_Ozero__class_Ozero(v2) = v6)
% 38.53/9.99 | (1225) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v0, v2) = v4) | ~ class_Groups_Oordered__comm__monoid__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2)))
% 38.53/9.99 | (1226) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Groups_Ogroup__add(v0) | c_Groups_Ouminus__class_Ouminus(v0, v1) = v1)
% 38.53/9.99 | (1227) class_Divides_Osemiring__div(tc_Int_Oint)
% 38.53/9.99 | (1228) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Ozero(v1) | ? [v5] : ? [v6] : ? [v7] : (tc_Polynomial_Opoly(v1) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & c_Groups_Ozero__class_Ozero(v1) = v7 & ( ~ (v7 = v4) | v6 = v0)))
% 38.53/9.99 | (1229) ! [v0] : ! [v1] : (v1 = all_0_13_13 | v1 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_13_13))
% 38.53/9.99 | (1230) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 38.53/9.99 | (1231) class_Groups_Ocomm__monoid__add(tc_Int_Oint)
% 38.53/9.99 | (1232) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 38.53/9.99 | (1233) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ class_Groups_Ozero(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (c_Polynomial_Odegree(v2, v1) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) | ( ~ (v7 = v5) & hAPP(v3, v6) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v6)))))
% 38.53/9.99 | (1234) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v3)
% 38.53/9.99 | (1235) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/9.99 | (1236) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v7) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Oordered__ring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v9)))
% 38.53/9.99 | (1237) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Opoly__gcd(v4, v3, v2) = v1) | ~ (c_Polynomial_Opoly__gcd(v4, v3, v2) = v0))
% 38.53/9.99 | (1238) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v4)) & (c_Orderings_Oord__class_Oless(v1, v2, v3) | ( ~ c_Orderings_Oord__class_Oless(v1, v3, v0) & ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v4)))))
% 38.53/9.99 | (1239) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Otimes__class_Otimes(v2) = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & hAPP(v9, v5) = v10 & hAPP(v8, v1) = v9 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v1, v7) | c_Orderings_Oord__class_Oless(v2, v10, v5))))
% 38.53/9.99 | (1240) ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, all_0_16_16)
% 38.53/9.99 | (1241) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.53/10.00 | (1242) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_8_8, v1) = v2) | ? [v4] : ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v3) = v6 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_8_8, v4) = v5))
% 38.53/10.00 | (1243) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ hBOOL(v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v6) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))))
% 38.53/10.00 | (1244) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v6, v0) = v5 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v6))
% 38.53/10.00 | (1245) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v0, v1) = v3) | ~ class_Fields_Ofield(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Divides_Odiv__class_Omod(v4, v0, v1) = v11 & c_Rings_Oinverse__class_Oinverse(v2, v8) = v9 & c_Polynomial_Opoly__gcd(v2, v1, v11) = v12 & c_Polynomial_Odegree(v2, v0) = v7 & c_Polynomial_Ocoeff(v2, v0) = v6 & c_Polynomial_Osmult(v2, v9, v0) = v10 & tc_Polynomial_Opoly(v2) = v4 & c_Groups_Ozero__class_Ozero(v4) = v5 & hAPP(v6, v7) = v8 & ( ~ (v5 = v1) | v10 = v3) & (v12 = v3 | v5 = v1)))
% 38.53/10.00 | (1246) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~ (hAPP(v9, v2) = v10) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ class_Rings_Olinordered__semiring__1__strict(v5) | ~ c_Orderings_Oord__class_Oless(v5, v4, v3) | ~ c_Orderings_Oord__class_Oless(v5, v2, v3) | c_Orderings_Oord__class_Oless(v5, v11, v3) | ? [v12] : ? [v13] : ? [v14] : (c_Groups_Oone__class_Oone(v5) = v14 & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v13 & c_Groups_Ozero__class_Ozero(v5) = v12 & ( ~ (v14 = v13) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v1) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v0))))
% 38.53/10.00 | (1247) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & (v3 = v0 | ~ c_Orderings_Oord__class_Oless(v1, v2, v3) | c_Orderings_Oord__class_Oless(v1, v0, v3))))
% 38.53/10.00 | (1248) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Polynomial_Odegree(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Groups_Oab__group__add(v1) | c_Polynomial_Odegree(v1, v0) = v4)
% 38.53/10.00 | (1249) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = all_0_16_16 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_15_15, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v7, v6) = v1 & hAPP(v4, v5) = v7 & hAPP(v2, v6) = v9 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v0) & ~ hBOOL(v9)) | (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v5 & hAPP(v2, v5) = v6 & hBOOL(v6))))
% 38.53/10.00 | (1250) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v0) = v3) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v3 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.53/10.00 | (1251) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v1) = v8 & hAPP(v5, v0) = v9 & hAPP(v4, v9) = v10))
% 38.53/10.00 | (1252) class_Rings_Ozero__neq__one(tc_Nat_Onat)
% 38.53/10.00 | (1253) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v6] : (hAPP(v6, v1) = v5 & hAPP(v3, v0) = v6))
% 38.53/10.00 | (1254) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v9, v1)))
% 38.53/10.00 | (1255) class_Rings_Olinordered__semidom(tc_Nat_Onat)
% 38.53/10.00 | (1256) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(v3, v9, v0) = v7 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v8 & hAPP(v5, v8) = v9))
% 38.53/10.00 | (1257) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5))
% 38.53/10.00 | (1258) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0))
% 38.53/10.00 | (1259) ? [v0] : ? [v1] : (v1 = v0 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 38.53/10.00 | (1260) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v0, v1) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 38.53/10.00 | (1261) class_Groups_Ogroup__add(tc_Int_Oint)
% 38.53/10.00 | (1262) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v6) = v1) | ~ (hAPP(v4, v5) = v7) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_8_8, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_6_6) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, all_0_6_6) | ? [v8] : ? [v9] : ((c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v8 & hAPP(v2, v8) = v9 & ~ hBOOL(v9)) | (hAPP(v2, v6) = v8 & hBOOL(v8))))
% 38.53/10.00 | (1263) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_9_9, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v8, v1) = v5 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v1) = v6 & hAPP(v7, v0) = v8 & hAPP(all_0_9_9, v6) = v7))
% 38.53/10.00 | (1264) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Opreorder(v1) | class_Orderings_Opreorder(v2))
% 38.53/10.00 | (1265) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Polynomial_Opoly(v1, v0) = v3) | ~ (c_Polynomial_Opoly(v1, v0) = v2) | ~ class_Int_Oring__char__0(v1) | ~ class_Rings_Oidom(v1))
% 38.53/10.00 | (1266) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tc_fun(v2, v3) = v4) | ~ (hAPP(v0, v5) = v6) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | ? [v7] : (hAPP(v1, v5) = v7 & c_Orderings_Oord__class_Oless__eq(v3, v7, v6)))
% 38.53/10.00 | (1267) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Ogroup__add(v2))
% 38.53/10.00 | (1268) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v0) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v5))
% 38.53/10.00 | (1269) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v0) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Divides_Osemiring__div(v3) | c_Divides_Odiv__class_Omod(v3, v2, v0) = v8)
% 38.53/10.00 | (1270) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Divides_Odiv__class_Omod(v3, v11, v0) = v7 & c_Divides_Odiv__class_Omod(v3, v2, v0) = v8 & c_Divides_Odiv__class_Omod(v3, v1, v0) = v10 & hAPP(v9, v10) = v11 & hAPP(v4, v8) = v9))
% 38.53/10.00 | (1271) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ozero(v0) | ? [v2] : ? [v3] : (c_Polynomial_OpCons(v0, v2, v3) = v3 & c_Groups_Ozero__class_Ozero(v1) = v3 & c_Groups_Ozero__class_Ozero(v0) = v2))
% 38.53/10.00 | (1272) ! [v0] : (v0 = all_0_13_13 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_0_13_13))
% 38.53/10.00 | (1273) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Oone(v1))
% 38.53/10.00 | (1274) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v8, v9) = v10) | ~ (hAPP(v7, v2) = v9) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v7) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v7, v0) = v12 & hAPP(v6, v2) = v11 & ( ~ (v13 = v10) | v3 = v1 | v2 = v0) & (v13 = v10 | ( ~ (v3 = v1) & ~ (v2 = v0)))))
% 38.53/10.00 | (1275) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless(v2, v1, v6) | c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 38.53/10.00 | (1276) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3))
% 38.53/10.00 | (1277) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.53/10.00 | (1278) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1))
% 38.53/10.00 | (1279) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Opoly__gcd(v1, v3, v0) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Fields_Ofield(v1))
% 38.53/10.00 | (1280) class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)
% 38.53/10.00 | (1281) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2)))
% 38.53/10.00 | (1282) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 38.53/10.00 | (1283) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v7, v6) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v7) | ~ class_Groups_Omonoid__mult(v2) | ? [v9] : (hAPP(v9, v1) = v8 & hAPP(v3, v6) = v9))
% 38.53/10.00 | (1284) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v8 & hAPP(v7, v8) = v6 & hAPP(v3, v1) = v7))
% 38.53/10.01 | (1285) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_13_13, v0))
% 38.53/10.01 | (1286) c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, all_0_16_16)
% 38.53/10.01 | (1287) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Odivision__ring(v2) | ? [v6] : ? [v7] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v7 & c_Groups_Oone__class_Oone(v2) = v6 & ( ~ (v6 = v5) | v7 = v0)))
% 38.53/10.01 | (1288) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Fields_Ofield(v0) | ? [v2] : (c_Polynomial_Opoly__gcd(v0, v2, v2) = v2 & c_Groups_Ozero__class_Ozero(v1) = v2))
% 38.53/10.01 | (1289) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ c_Polynomial_Opos__poly(v2, v1) | ~ c_Polynomial_Opos__poly(v2, v0) | ~ class_Rings_Olinordered__idom(v2) | c_Polynomial_Opos__poly(v2, v4))
% 38.53/10.01 | (1290) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Groups_Oordered__comm__monoid__add(v3) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2)))
% 38.53/10.01 | (1291) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly__gcd(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v5] : (tc_Polynomial_Opoly(v3) = v5 & ( ~ c_Rings_Odvd__class_Odvd(v5, v0, v4) | (c_Rings_Odvd__class_Odvd(v5, v0, v2) & c_Rings_Odvd__class_Odvd(v5, v0, v1))) & ( ~ c_Rings_Odvd__class_Odvd(v5, v0, v2) | ~ c_Rings_Odvd__class_Odvd(v5, v0, v1) | c_Rings_Odvd__class_Odvd(v5, v0, v4))))
% 38.53/10.01 | (1292) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v7, v0) = v5 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v6 & hAPP(v3, v6) = v7))
% 38.53/10.01 | (1293) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2))
% 38.53/10.01 | (1294) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_HOL_Oequal__class_Oequal(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_HOL_Oequal(v1) | ~ class_Groups_Ozero(v1) | hBOOL(v5))
% 38.53/10.01 | (1295) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v3) | c_Orderings_Oord__class_Oless(v1, v0, v2)) & ( ~ c_Orderings_Oord__class_Oless(v1, v0, v2) | c_Orderings_Oord__class_Oless(v1, v0, v3))))
% 38.53/10.01 | (1296) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Ocomm__monoid__add(v0))
% 38.53/10.01 | (1297) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 38.53/10.01 | (1298) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~ (hAPP(v9, v2) = v10) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ class_Rings_Olinordered__semiring__1(v5) | ~ c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v3) | c_Orderings_Oord__class_Oless__eq(v5, v11, v3) | ? [v12] : ? [v13] : ? [v14] : (c_Groups_Oone__class_Oone(v5) = v14 & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v13 & c_Groups_Ozero__class_Ozero(v5) = v12 & ( ~ (v14 = v13) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v1) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v0))))
% 38.53/10.01 | (1299) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_15_15, v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v7) = v8 & c_Polynomial_Opcompose(v2, v1, v0) = v7 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v6)))
% 38.53/10.01 | (1300) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Ocomm__monoid__mult(v1))
% 38.53/10.01 | (1301) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v0) = v9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ (hAPP(all_0_8_8, v4) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_6_6) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v3))
% 38.53/10.01 | (1302) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v3) = v4) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5))
% 38.53/10.01 | (1303) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Odegree(v2, v1) = v5 & tc_Polynomial_Opoly(v2) = v7 & c_Groups_Ozero__class_Ozero(v7) = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v4) | v8 = v1 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v0))))
% 38.53/10.01 | (1304) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1) | ? [v3] : (c_Groups_Ominus__class_Ominus(v1, v3, v0) = v2 & c_Groups_Ozero__class_Ozero(v1) = v3))
% 38.53/10.01 | (1305) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & c_Orderings_Oord__class_Oless__eq(v2, v9, v8)))
% 38.53/10.01 | (1306) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4 & c_Groups_Oplus__class_Oplus(v2, v1, v4) = v3))
% 38.53/10.01 | (1307) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Oordered__semiring(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1))))
% 38.53/10.01 | (1308) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_6_6) = v1))
% 38.53/10.01 | (1309) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v2) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1))
% 38.53/10.01 | (1310) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v0) = v2) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Odvd(v3) | c_Rings_Odvd__class_Odvd(v3, v1, v2))
% 38.53/10.01 | (1311) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Nat_Onat_Onat__case(v4, v3, v2) = v1) | ~ (c_Nat_Onat_Onat__case(v4, v3, v2) = v0))
% 38.53/10.01 | (1312) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Rings_Oinverse__class_Oinverse(v0, v1) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Odivision__ring(v0))
% 38.53/10.01 | (1313) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Groups_Omonoid__mult(v3) | ? [v9] : ? [v10] : (hAPP(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(all_0_15_15, v1) = v9))
% 38.53/10.01 | (1314) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Oordered__comm__monoid__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2)))
% 38.53/10.01 | (1315) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Odivision__ring(v1) | ? [v6] : ? [v7] : (c_Groups_Oone__class_Oone(v1) = v7 & c_Groups_Ozero__class_Ozero(v1) = v6 & (v7 = v5 | v6 = v0)))
% 38.53/10.01 | (1316) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Omonom(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ozero(v1) | ? [v4] : (tc_Polynomial_Opoly(v1) = v4 & c_Groups_Ozero__class_Ozero(v4) = v3))
% 38.53/10.01 | (1317) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_0_16_16
% 38.53/10.01 | (1318) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v9, v1) = v6 & hAPP(v7, v8) = v9 & hAPP(v4, v0) = v8))
% 38.53/10.01 | (1319) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Ocoeff(v3, v4) = v5) | ~ (c_Nat_OSuc(v0) = v6) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ (hAPP(v5, v6) = v7) | ~ class_Groups_Ozero(v3) | ? [v8] : (c_Polynomial_Ocoeff(v3, v1) = v8 & hAPP(v8, v0) = v7))
% 38.53/10.01 | (1320) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v2, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v0) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0))))
% 38.53/10.01 | (1321) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Polynomial_Omonom(v3, v2, v1) = v5) | ~ (c_Polynomial_Omonom(v3, v0, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v8 & c_Polynomial_Omonom(v3, v8, v1) = v7))
% 38.53/10.01 | (1322) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Opoly__gcd(v1, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Fields_Ofield(v1) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Rings_Oinverse__class_Oinverse(v1, v7) = v8 & c_Polynomial_Odegree(v1, v0) = v6 & c_Polynomial_Ocoeff(v1, v0) = v5 & c_Polynomial_Osmult(v1, v8, v0) = v4 & hAPP(v5, v6) = v7))
% 38.53/10.01 | (1323) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 38.53/10.01 | (1324) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (c_Polynomial_Omonom(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Power_Opower__class_Opower(v3) = v9 & c_Groups_Otimes__class_Otimes(v3) = v7 & hAPP(v10, v1) = v11 & hAPP(v9, v0) = v10 & hAPP(v8, v11) = v6 & hAPP(v7, v2) = v8))
% 38.53/10.01 | (1325) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__ab__semigroup__add(v1))
% 38.53/10.01 | (1326) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 38.53/10.01 | (1327) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0))
% 38.53/10.01 | (1328) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : (hAPP(v6, v0) = v9 & hAPP(v5, v9) = v8))
% 38.53/10.01 | (1329) c_Nat_OSuc(all_0_13_13) = all_0_11_11
% 38.53/10.02 | (1330) ! [v0] : ~ (c_Nat_OSuc(v0) = all_0_16_16)
% 38.53/10.02 | (1331) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__ring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 38.53/10.02 | (1332) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v0)
% 38.53/10.02 | (1333) ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2))
% 38.53/10.02 | (1334) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v6] : (hAPP(v6, v0) = v5 & hAPP(v3, v1) = v6))
% 38.53/10.02 | (1335) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v0) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Ogroup__add(v2))
% 38.53/10.02 | (1336) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v6) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Osmult(v3, v2, v10) = v8 & hAPP(v9, v0) = v10 & hAPP(v5, v1) = v9))
% 38.53/10.02 | (1337) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v2) = v6) | ~ (hAPP(v7, v5) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless(v2, v5, v8) | ? [v9] : (c_Groups_Oone__class_Oone(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v9, v1)))
% 38.53/10.02 | (1338) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.53/10.02 | (1339) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v1) = v3) | ~ class_Groups_Ocancel__semigroup__add(v2))
% 38.53/10.02 | (1340) class_Divides_Osemiring__div(tc_Nat_Onat)
% 38.53/10.02 | (1341) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (c_Groups_Oone__class_Oone(v2) = v4 & c_Groups_Otimes__class_Otimes(v2) = v5 & hAPP(v7, v1) = v8 & hAPP(v5, v6) = v7 & c_Orderings_Oord__class_Oless(v2, v6, v4) & c_Orderings_Oord__class_Oless(v2, v3, v6) & ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v0)))
% 38.53/10.02 | (1342) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/10.02 | (1343) ! [v0] : ! [v1] : (v1 = all_0_6_6 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, all_0_6_6, v0) = v1))
% 38.53/10.02 | (1344) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_OpCons(v0, v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v0) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Groups_Ozero(v0))
% 38.53/10.02 | (1345) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4))
% 38.53/10.02 | (1346) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v4) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v3, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v2, v1, v9) = v7 & hAPP(v8, v1) = v9 & hAPP(v3, v0) = v8))
% 38.53/10.02 | (1347) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v0) = v5 & c_Nat_OSuc(v5) = v6 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6)))
% 38.53/10.02 | (1348) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v5] : (c_Divides_Odiv__class_Omod(v3, v1, v5) = v4 & c_Groups_Ouminus__class_Ouminus(v3, v0) = v5))
% 38.53/10.02 | (1349) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v1, v0) = v2) | ~ class_Enum_Oenum(v1) | ~ class_HOL_Oequal(v0) | class_HOL_Oequal(v2))
% 38.53/10.02 | (1350) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~ (hAPP(v3, all_0_16_16) = v4) | ~ (hAPP(v1, v2) = v3) | ~ class_Power_Opower(v0) | ~ class_Rings_Osemiring__0(v0) | c_Groups_Oone__class_Oone(v0) = v4)
% 38.53/10.02 | (1351) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2))
% 38.53/10.02 | (1352) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ class_Groups_Ozero(v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v5) & c_Polynomial_Ocoeff(v2, v1) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & hAPP(v4, v6) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v6)))
% 38.53/10.02 | (1353) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Polynomial_Opoly__gcd(v1, v0, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ class_Fields_Ofield(v1))
% 38.53/10.02 | (1354) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (c_Polynomial_Omonom(v3, v2, v1) = v4) | ~ (c_Polynomial_Omonom(v3, v0, v1) = v4) | ~ class_Groups_Ozero(v3))
% 38.53/10.02 | (1355) class_HOL_Oequal(tc_Nat_Onat)
% 38.53/10.02 | (1356) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Orderings_Opreorder(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 38.53/10.02 | (1357) ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2] : (c_Groups_Ozero__class_Ozero(v0) = v2 & ~ c_Orderings_Oord__class_Oless__eq(v0, v1, v2)))
% 38.53/10.02 | (1358) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Lattices_Oboolean__algebra(v2))
% 38.53/10.02 | (1359) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | c_Orderings_Oord__class_Oless(v2, v0, v1))
% 38.53/10.02 | (1360) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_10_10, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3))
% 38.53/10.02 | (1361) ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, all_0_16_16, v0) = v1))
% 38.53/10.02 | (1362) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v6, v7) = v8) | ~ (c_Polynomial_Osmult(v3, v0, v5) = v6) | ~ (c_Polynomial_OpCons(v3, v2, v5) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v1, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : (c_Polynomial_OpCons(v3, v2, v1) = v9 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v9, v0) = v8))
% 38.53/10.02 | (1363) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_8_8, v4) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_8_8, v1) = v7))
% 38.53/10.02 | (1364) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v3) = v4) | ~ class_Groups_Ogroup__add(v2) | c_Groups_Ominus__class_Ominus(v2, v1, v0) = v4)
% 38.53/10.02 | (1365) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1))
% 38.53/10.02 | (1366) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v4) = v3 & c_Nat_OSuc(v0) = v4))
% 38.53/10.02 | (1367) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_9_9, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (hAPP(v7, v8) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v8 & hAPP(all_0_8_8, v6) = v7))
% 38.53/10.02 | (1368) class_Groups_Ocomm__monoid__mult(tc_Int_Oint)
% 38.53/10.02 | (1369) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Oinverse(v5, v4) = v7) | ~ (c_Polynomial_Osmult(v5, v7, v1) = v8) | ~ (c_Polynomial_Osmult(v5, v4, v2) = v6) | ~ c_Polynomial_Opdivmod__rel(v5, v3, v2, v1, v0) | ~ class_Fields_Ofield(v5) | c_Groups_Ozero__class_Ozero(v5) = v4 | c_Polynomial_Opdivmod__rel(v5, v3, v6, v8, v0))
% 38.53/10.02 | (1370) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Opoly__gcd(v3, v4, v0) = v5) | ~ (c_Polynomial_Opoly__gcd(v3, v2, v1) = v4) | ~ class_Fields_Ofield(v3) | ? [v6] : (c_Polynomial_Opoly__gcd(v3, v2, v6) = v5 & c_Polynomial_Opoly__gcd(v3, v1, v0) = v6))
% 38.53/10.02 | (1371) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0))
% 38.53/10.02 | (1372) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_8_8, v0) = v1) | hAPP(v1, all_0_5_5) = v0)
% 38.53/10.02 | (1373) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v1))
% 38.53/10.02 | (1374) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | c_Orderings_Oord__class_Oless(v2, v1, v0)) & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 38.53/10.02 | (1375) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v0) = v9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ (hAPP(all_0_8_8, v4) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1))
% 38.53/10.02 | (1376) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__comm__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0)))
% 38.53/10.02 | (1377) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = all_0_13_13 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v1) = v5) | ~ (c_Nat_OSuc(v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_13_13, v1))
% 38.53/10.02 | (1378) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (c_Polynomial_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | hAPP(v4, all_0_16_16) = v1)
% 38.53/10.02 | (1379) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ? [v2] : ? [v3] : (c_Nat_Onat_Onat__size(v1) = v2 & c_Nat_Onat_Onat__size(v0) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_0_13_13) = v2))
% 38.53/10.02 | (1380) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ? [v5] : ? [v6] : (c_Nat_OSuc(v1) = v5 & hAPP(v6, v0) = v4 & hAPP(all_0_15_15, v5) = v6))
% 38.53/10.03 | (1381) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ? [v7] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 38.53/10.03 | (1382) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))
% 38.53/10.03 | (1383) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/10.03 | (1384) ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 38.53/10.03 | (1385) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ (c_Polynomial_Osmult(v1, v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1))
% 38.53/10.03 | (1386) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__ring__strict(v1))
% 38.53/10.03 | (1387) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 38.53/10.03 | (1388) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0))
% 38.53/10.03 | (1389) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v5))
% 38.53/10.03 | (1390) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__group__add(v1))
% 38.53/10.03 | (1391) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v5] : ? [v6] : (c_Polynomial_Odegree(v2, v1) = v5 & c_Polynomial_Odegree(v2, v0) = v6 & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)))
% 38.53/10.03 | (1392) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v7 & hAPP(v8, v0) = v6 & hAPP(v3, v7) = v8))
% 38.53/10.03 | (1393) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ocancel__semigroup__add(v2))
% 38.53/10.03 | (1394) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 38.53/10.03 | (1395) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_RealVector_Oreal__normed__algebra(v1))
% 38.53/10.03 | (1396) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v0) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v4, v1))
% 38.53/10.03 | (1397) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1))
% 38.53/10.03 | (1398) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ class_Divides_Osemiring__div(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v0) | c_Rings_Odvd__class_Odvd(v3, v2, v4))
% 38.53/10.03 | (1399) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring(v1))
% 38.53/10.03 | (1400) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2))
% 38.53/10.03 | (1401) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Rings_Oidom(v3) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & (v9 = v1 | ~ c_Rings_Odvd__class_Odvd(v3, v6, v8) | c_Rings_Odvd__class_Odvd(v3, v2, v0)) & (c_Rings_Odvd__class_Odvd(v3, v6, v8) | ( ~ (v9 = v1) & ~ c_Rings_Odvd__class_Odvd(v3, v2, v0)))))
% 38.53/10.03 | (1402) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (c_Polynomial_Odegree(v2, v1) = v4) | ~ (c_Polynomial_Odegree(v2, v0) = v7) | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v6) | ~ (hAPP(v6, v7) = v5) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oidom(v2) | ? [v8] : (tc_Polynomial_Opoly(v2) = v8 & ( ~ c_Rings_Odvd__class_Odvd(v8, v1, v0) | ~ c_Rings_Odvd__class_Odvd(v8, v0, v1))))
% 38.53/10.03 | (1403) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & (v4 = v1 | v4 = v0)))
% 38.53/10.03 | (1404) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Ozero__neq__one(v1))
% 38.53/10.03 | (1405) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0)
% 38.53/10.03 | (1406) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Omult__zero(v1))
% 38.53/10.03 | (1407) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v0, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5))
% 38.53/10.03 | (1408) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(v2, v0, v1) = v3) | ~ class_Divides_Osemiring__div(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ (v4 = v3) | c_Rings_Odvd__class_Odvd(v2, v1, v0)) & (v4 = v3 | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0))))
% 38.53/10.03 | (1409) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v5, v0) = v3 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v5))
% 38.53/10.03 | (1410) class_Rings_Ocomm__semiring__0(tc_Int_Oint)
% 38.53/10.03 | (1411) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 38.53/10.03 | (1412) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__1__strict(v1))
% 38.53/10.03 | (1413) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_15_15, v1) = v6) | ~ class_Groups_Omonoid__mult(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 38.53/10.03 | (1414) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ? [v2] : ? [v3] : (c_Nat_Osize__class_Osize(tc_Nat_Onat, v1) = v2 & c_Nat_Osize__class_Osize(tc_Nat_Onat, v0) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_0_13_13) = v2))
% 38.53/10.03 | (1415) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3))
% 38.53/10.03 | (1416) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_SMT_Oz3mod(v0, v1) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | ? [v3] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v3) = v2 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3))
% 38.53/10.03 | (1417) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v4) | ~ class_Groups_Oab__semigroup__add(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v6, v0) = v5 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v6))
% 38.53/10.03 | (1418) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v5, v0) = v9) | ~ (hAPP(v4, v2) = v5) | ~ class_Groups_Omonoid__mult(v3) | ? [v11] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v11 & hAPP(v5, v11) = v10))
% 38.53/10.03 | (1419) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Divides_Odiv__class_Omod(v3, v7, v1) = v8) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v1) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_Divides_Osemiring__div(v3) | ? [v9] : ? [v10] : (c_Divides_Odiv__class_Omod(v3, v10, v1) = v8 & hAPP(v9, v0) = v10 & hAPP(v4, v2) = v9))
% 38.53/10.03 | (1420) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3) | c_Orderings_Oord__class_Oless__eq(v1, v0, v2)) & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v2) | c_Orderings_Oord__class_Oless__eq(v1, v0, v3))))
% 38.53/10.03 | (1421) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v8, v9)))
% 38.53/10.03 | (1422) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v4))
% 38.53/10.03 | (1423) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 38.53/10.03 | (1424) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_8_8, all_0_6_6) = v3) | hBOOL(v2) | ? [v4] : ? [v5] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, all_0_6_6) = v4 & hAPP(v1, v4) = v5 & ~ hBOOL(v5)))
% 38.53/10.03 | (1425) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring__1(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v9 & c_Groups_Oone__class_Oone(v2) = v8 & c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v13, v0) = v14 & hAPP(v12, v14) = v6 & hAPP(v10, v0) = v11 & hAPP(v7, v11) = v12 & hAPP(v3, v9) = v10 & hAPP(v3, v1) = v13))
% 38.53/10.03 | (1426) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v5 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (c_Polynomial_Ocoeff(v2, v10) = v11) | ~ (c_Polynomial_OpCons(v2, v5, v6) = v7) | ~ (c_Polynomial_OpCons(v2, v1, v7) = v8) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v6) | ~ (hAPP(v11, v0) = v12) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v4, v8) = v9) | ~ class_Rings_Ocomm__semiring__1(v2))
% 38.53/10.03 | (1427) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring(v2) | ? [v8] : (hAPP(v8, v0) = v7 & hAPP(v3, v1) = v8))
% 38.53/10.04 | (1428) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (hAPP(v3, v4) = v5) | ~ class_Groups_Ozero(v1) | hAPP(v2, v4) = v5)
% 38.53/10.04 | (1429) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Oorder(v2))
% 38.53/10.04 | (1430) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_8_8, v2) = v3) | ? [v6] : ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7))
% 38.53/10.04 | (1431) class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint)
% 38.53/10.04 | (1432) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Divides_Odiv__class_Omod(v5, v10, v3) = v11) | ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ (c_Groups_Otimes__class_Otimes(v5) = v8) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v2) = v9) | ~ class_Divides_Osemiring__div(v5) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (c_Divides_Odiv__class_Omod(v5, v15, v3) = v16 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v12 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v13 & hAPP(v14, v1) = v15 & hAPP(v8, v4) = v14 & ( ~ (v13 = v7) | ~ (v12 = v6) | v16 = v11)))
% 38.53/10.04 | (1433) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1))
% 38.53/10.04 | (1434) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v6) = v7) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v9] : (c_Nat_OSuc(v0) = v9 & hAPP(v5, v9) = v8))
% 38.53/10.04 | (1435) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v0) = v4) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v5))
% 38.53/10.04 | (1436) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Omonoid__mult(v1))
% 38.53/10.04 | (1437) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v0, v0) = v2) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v2)
% 38.53/10.04 | (1438) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Ocomm__monoid__mult(v1))
% 38.53/10.04 | (1439) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | (( ~ (v4 = v3) | (v3 = v0 & v1 = v0)) & ( ~ (v4 = v0) | ~ (v1 = v0) | v3 = v0)))))
% 38.53/10.04 | (1440) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 38.53/10.04 | (1441) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v0, v1))
% 38.53/10.04 | (1442) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v3)
% 38.53/10.04 | (1443) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v4) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v3, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v2, v9, v0) = v7 & hAPP(v8, v0) = v9 & hAPP(v3, v1) = v8))
% 38.53/10.04 | (1444) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) & c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) | (c_Orderings_Oord__class_Oless__eq(v2, v1, v6) & c_Orderings_Oord__class_Oless__eq(v2, v0, v6))) & (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))))
% 38.53/10.04 | (1445) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_16_16 | ~ (c_Polynomial_Odegree(v0, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ozero(v0))
% 38.53/10.04 | (1446) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v1, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ class_Groups_Ozero(v1) | c_Groups_Ozero__class_Ozero(v1) = v5)
% 38.53/10.04 | (1447) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Divides_Odiv__class_Omod(v2, v3, v0) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Divides_Oring__div(v2) | ? [v5] : ? [v6] : (c_Divides_Odiv__class_Omod(v2, v6, v0) = v4 & c_Divides_Odiv__class_Omod(v2, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v6))
% 38.53/10.04 | (1448) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring__0(v1))
% 38.53/10.04 | (1449) ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 38.53/10.04 | (1450) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Oone__class_Oone(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | c_Orderings_Oord__class_Oless__eq(v1, v3, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v4)) & (c_Orderings_Oord__class_Oless__eq(v1, v2, v3) | ( ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0) & ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v4)))))
% 38.53/10.04 | (1451) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oab__group__add(v2) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v1) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v6 & c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4))
% 38.53/10.04 | (1452) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (c_Groups_Oone__class_Oone(v1) = v4 & c_Groups_Otimes__class_Otimes(v1) = v3 & c_Groups_Oplus__class_Oplus(v1, v4, v4) = v5 & hAPP(v6, v0) = v2 & hAPP(v3, v5) = v6))
% 38.53/10.04 | (1453) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower_Opower(v3, v2, v1) = v4) | ~ (hAPP(v4, v0) = v5) | hAPP(v5, all_0_16_16) = v2)
% 38.53/10.04 | (1454) ~ (all_0_5_5 = all_0_6_6)
% 38.53/10.04 | (1455) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oring__1__no__zero__divisors(v1))
% 38.53/10.04 | (1456) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 38.53/10.04 | (1457) ! [v0] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, all_0_16_16) = v0))
% 38.53/10.04 | (1458) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1))
% 38.53/10.04 | (1459) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) & c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) | (c_Orderings_Oord__class_Oless__eq(v2, v6, v0) & c_Orderings_Oord__class_Oless__eq(v2, v1, v6))) & (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v6))))))
% 38.53/10.04 | (1460) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_5_5) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 38.53/10.04 | (1461) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osynthetic__div(v3, v4, v0) = v5) | ~ (c_Polynomial_OpCons(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Osynthetic__div(v3, v1, v0) = v8 & c_Polynomial_Opoly(v3, v1) = v6 & c_Polynomial_OpCons(v3, v7, v8) = v5 & hAPP(v6, v0) = v7))
% 38.53/10.04 | (1462) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Oidom(v2) | ? [v8] : (c_Groups_Ouminus__class_Ouminus(v2, v0) = v8 & ( ~ (v7 = v5) | v8 = v1 | v1 = v0) & (v7 = v5 | ( ~ (v8 = v1) & ~ (v1 = v0)))))
% 38.53/10.04 | (1463) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ? [v5] : (c_Nat_OSuc(v0) = v5 & hAPP(v2, v5) = v4))
% 38.53/10.04 | (1464) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ class_Fields_Olinordered__field(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & (v3 = v0 | ~ c_Orderings_Oord__class_Oless(v1, v3, v2) | c_Orderings_Oord__class_Oless(v1, v3, v0))))
% 38.53/10.04 | (1465) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Divides_Odiv__class_Omod(v3, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v1) = v5) | ~ class_Divides_Osemiring__div(v3) | ? [v7] : (c_Divides_Odiv__class_Omod(v3, v7, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7))
% 38.53/10.04 | (1466) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Odivision__ring__inverse__zero(v2) | ? [v7] : ? [v8] : (c_Rings_Oinverse__class_Oinverse(v2, v1) = v7 & hAPP(v8, v0) = v6 & hAPP(v3, v7) = v8))
% 38.53/10.04 | (1467) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v8) | ~ (c_Divides_Odiv__class_Omod(v5, v8, v3) = v9) | ~ (c_Divides_Odiv__class_Omod(v5, v4, v3) = v6) | ~ (c_Divides_Odiv__class_Omod(v5, v1, v3) = v7) | ~ class_Divides_Oring__div(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Groups_Ominus__class_Ominus(v5, v4, v1) = v12 & c_Divides_Odiv__class_Omod(v5, v12, v3) = v13 & c_Divides_Odiv__class_Omod(v5, v2, v3) = v10 & c_Divides_Odiv__class_Omod(v5, v0, v3) = v11 & ( ~ (v11 = v7) | ~ (v10 = v6) | v13 = v9)))
% 38.53/10.04 | (1468) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v1))
% 38.53/10.05 | (1469) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tc_Polynomial_Opoly(v2) = v1) | ~ (tc_Polynomial_Opoly(v2) = v0))
% 38.53/10.05 | (1470) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1) | ? [v3] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0)))
% 38.53/10.05 | (1471) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(v2, v1, v3) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v0, v4))
% 38.53/10.05 | (1472) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v1, v5))
% 38.53/10.05 | (1473) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Polynomial_Ocoeff(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ class_Groups_Ozero(v1))
% 38.53/10.05 | (1474) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | c_Groups_Ozero__class_Ozero(v2) = v1)
% 38.53/10.05 | (1475) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v0, v1) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v1, v0) = v3)
% 38.53/10.05 | (1476) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(v3, v0, v1) = v4) | ~ (c_Polynomial_Opoly__gcd(v2, v1, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ class_Fields_Ofield(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Rings_Oinverse__class_Oinverse(v2, v10) = v11 & c_Polynomial_Opoly__gcd(v2, v0, v1) = v7 & c_Polynomial_Odegree(v2, v0) = v9 & c_Polynomial_Ocoeff(v2, v0) = v8 & c_Polynomial_Osmult(v2, v11, v0) = v12 & c_Groups_Ozero__class_Ozero(v3) = v6 & hAPP(v8, v9) = v10 & ( ~ (v6 = v1) | v12 = v7) & (v7 = v5 | v6 = v1)))
% 38.53/10.05 | (1477) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v4) = v5) | ~ (c_Divides_Odiv__class_Omod(v3, v5, v0) = v6) | ~ (c_Divides_Odiv__class_Omod(v3, v1, v0) = v4) | ~ class_Divides_Oring__div(v3) | ? [v7] : (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v7 & c_Divides_Odiv__class_Omod(v3, v7, v0) = v6))
% 38.53/10.05 | (1478) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_16_16)
% 38.53/10.05 | (1479) class_Rings_Ocomm__ring__1(tc_Int_Oint)
% 38.53/10.05 | (1480) ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (hAPP(all_0_14_14, v0) = v1))
% 38.53/10.05 | (1481) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Divides_Odiv__class_Omod(v2, v3, v0) = v4) | ~ (c_Divides_Odiv__class_Omod(v2, v1, v0) = v3) | ~ class_Divides_Osemiring__div(v2))
% 38.53/10.05 | (1482) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v4 & c_Nat_OSuc(v4) = v3))
% 38.53/10.05 | (1483) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v4) | ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Otimes__class_Otimes(v3) = v7 & c_Polynomial_Opoly(v3, v1) = v9 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v6 & hAPP(v7, v2) = v8))
% 38.53/10.05 | (1484) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_OpCons(v1, v0, v3) = v4) | ~ (tc_Polynomial_Opoly(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ class_Groups_Ozero(v1) | c_Polynomial_Omonom(v1, v0, all_0_16_16) = v4)
% 38.53/10.05 | (1485) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~ (c_Groups_Oone__class_Oone(v2) = v0))
% 38.53/10.05 | (1486) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_6_6, v1) | c_SMT_Oz3mod(v0, v1) = v2)
% 38.53/10.05 | (1487) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5))
% 38.53/10.05 | (1488) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 38.53/10.05 | (1489) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v0 | v1 = all_0_16_16 | ~ (hAPP(v5, v1) = v4) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ (hAPP(all_0_15_15, v0) = v5))
% 38.53/10.05 | (1490) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Polynomial_Opoly(v3, v2) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (c_Power_Opower__class_Opower(v9) = v10 & c_Polynomial_Opoly(v3, v12) = v13 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v13, v0) = v8 & hAPP(v11, v1) = v12 & hAPP(v10, v2) = v11))
% 38.53/10.05 | (1491) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ (c_Polynomial_Osmult(v2, v1, v0) = v3) | ~ class_Rings_Ocomm__semiring__0(v2) | ? [v5] : (c_Polynomial_Odegree(v2, v0) = v5 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5)))
% 38.53/10.05 | (1492) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ? [v7] : (c_Groups_Oone__class_Oone(v3) = v7 & ~ c_Orderings_Oord__class_Oless(v3, v7, v2)))
% 38.53/10.05 | (1493) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Oordered__semiring(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1))))
% 38.53/10.05 | (1494) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v8) | ~ (c_Polynomial_Omonom(v4, v7, v8) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Groups_Otimes__class_Otimes(v10) = v11 & c_Polynomial_Omonom(v4, v3, v2) = v12 & c_Polynomial_Omonom(v4, v1, v0) = v14 & tc_Polynomial_Opoly(v4) = v10 & hAPP(v13, v14) = v9 & hAPP(v11, v12) = v13))
% 38.53/10.05 | (1495) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6) | c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 38.53/10.05 | (1496) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v5, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v9, v0) = v10) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v4, v6) = v7) | ~ class_Rings_Odvd(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ~ class_Rings_Ocomm__ring(v3) | c_Rings_Odvd__class_Odvd(v3, v2, v10) | ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v5, v0) = v11 & ~ c_Rings_Odvd__class_Odvd(v3, v2, v11)))
% 38.53/10.05 | (1497) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Rings_Olinordered__semidom(v1) | c_Orderings_Oord__class_Oless(v1, v0, v3))
% 38.53/10.05 | (1498) ! [v0] : (v0 = all_0_16_16 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_13_13))
% 38.53/10.05 | (1499) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6))
% 38.53/10.05 | (1500) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Nat_OSuc(v1) = v2) | ? [v4] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4 & c_Nat_OSuc(v4) = v3))
% 38.53/10.05 | (1501) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(v0, v1, v1) = v2) | ~ class_Rings_Olinordered__semidom(v0) | ? [v3] : (c_Groups_Ozero__class_Ozero(v0) = v3 & c_Orderings_Oord__class_Oless(v0, v3, v2)))
% 38.53/10.05 | (1502) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v3] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v3, v0) = v2))
% 38.53/10.05 | (1503) c_Nat_OSuc(all_0_16_16) = all_0_13_13
% 38.53/10.05 |
% 38.53/10.05 | Instantiating formula (351) with all_0_0_0, all_0_1_1, t_a, v_a, all_0_2_2, v_h and discharging atoms c_Polynomial_OpCons(t_a, v_a, all_0_2_2) = all_0_1_1, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_0_1_1, v_h) = all_0_0_0, class_Rings_Ocomm__semiring__0(t_a), yields:
% 38.53/10.05 | (1504) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (c_Groups_Oplus__class_Oplus(v0, v2, v3) = all_0_0_0 & c_Polynomial_Osmult(t_a, v_h, v1) = v2 & c_Polynomial_OpCons(t_a, v_a, v1) = v3 & tc_Polynomial_Opoly(t_a) = v0 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_0_2_2, v_h) = v1)
% 38.53/10.05 |
% 38.53/10.05 | Instantiating formula (1296) with t_a and discharging atoms class_Rings_Ocomm__semiring__0(t_a), yields:
% 38.53/10.05 | (1505) class_Groups_Ocomm__monoid__add(t_a)
% 38.53/10.05 |
% 38.53/10.05 | Instantiating (1504) with all_157_0_134, all_157_1_135, all_157_2_136, all_157_3_137 yields:
% 38.53/10.05 | (1506) c_Groups_Oplus__class_Oplus(all_157_3_137, all_157_1_135, all_157_0_134) = all_0_0_0 & c_Polynomial_Osmult(t_a, v_h, all_157_2_136) = all_157_1_135 & c_Polynomial_OpCons(t_a, v_a, all_157_2_136) = all_157_0_134 & tc_Polynomial_Opoly(t_a) = all_157_3_137 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_0_2_2, v_h) = all_157_2_136
% 38.53/10.05 |
% 38.53/10.05 | Applying alpha-rule on (1506) yields:
% 38.53/10.05 | (1507) c_Polynomial_OpCons(t_a, v_a, all_157_2_136) = all_157_0_134
% 38.53/10.06 | (1508) c_Groups_Oplus__class_Oplus(all_157_3_137, all_157_1_135, all_157_0_134) = all_0_0_0
% 38.53/10.06 | (1509) c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_0_2_2, v_h) = all_157_2_136
% 38.53/10.06 | (1510) tc_Polynomial_Opoly(t_a) = all_157_3_137
% 38.53/10.06 | (1511) c_Polynomial_Osmult(t_a, v_h, all_157_2_136) = all_157_1_135
% 38.53/10.06 |
% 38.53/10.06 | Instantiating formula (1469) with t_a, all_157_3_137, all_0_3_3 and discharging atoms tc_Polynomial_Opoly(t_a) = all_157_3_137, tc_Polynomial_Opoly(t_a) = all_0_3_3, yields:
% 38.53/10.06 | (1512) all_157_3_137 = all_0_3_3
% 38.53/10.06 |
% 38.53/10.06 | Instantiating formula (1111) with all_157_2_136, all_0_2_2, all_0_3_3, t_a, v_h and discharging atoms tc_Polynomial_Opoly(t_a) = all_0_3_3, c_Groups_Ozero__class_Ozero(all_0_3_3) = all_0_2_2, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_0_2_2, v_h) = all_157_2_136, class_Rings_Ocomm__semiring__0(t_a), yields:
% 38.53/10.06 | (1513) all_157_2_136 = all_0_2_2
% 38.53/10.06 |
% 38.78/10.06 | From (1512) and (1508) follows:
% 38.78/10.06 | (1514) c_Groups_Oplus__class_Oplus(all_0_3_3, all_157_1_135, all_157_0_134) = all_0_0_0
% 38.78/10.06 |
% 38.78/10.06 | From (1513) and (1511) follows:
% 38.78/10.06 | (1515) c_Polynomial_Osmult(t_a, v_h, all_0_2_2) = all_157_1_135
% 38.78/10.06 |
% 38.78/10.06 | From (1513) and (1507) follows:
% 38.78/10.06 | (1516) c_Polynomial_OpCons(t_a, v_a, all_0_2_2) = all_157_0_134
% 38.78/10.06 |
% 38.78/10.06 | From (1512) and (1510) follows:
% 38.78/10.06 | (676) tc_Polynomial_Opoly(t_a) = all_0_3_3
% 38.78/10.06 |
% 38.78/10.06 | Instantiating formula (1037) with all_157_1_135, all_0_2_2, all_0_3_3, t_a, v_h and discharging atoms c_Polynomial_Osmult(t_a, v_h, all_0_2_2) = all_157_1_135, tc_Polynomial_Opoly(t_a) = all_0_3_3, c_Groups_Ozero__class_Ozero(all_0_3_3) = all_0_2_2, class_Rings_Ocomm__semiring__0(t_a), yields:
% 38.78/10.06 | (1518) all_157_1_135 = all_0_2_2
% 38.78/10.06 |
% 38.78/10.06 | Instantiating formula (513) with t_a, v_a, all_0_2_2, all_157_0_134, all_0_1_1 and discharging atoms c_Polynomial_OpCons(t_a, v_a, all_0_2_2) = all_157_0_134, c_Polynomial_OpCons(t_a, v_a, all_0_2_2) = all_0_1_1, yields:
% 38.78/10.06 | (1519) all_157_0_134 = all_0_1_1
% 38.78/10.06 |
% 38.78/10.06 | From (1518)(1519) and (1514) follows:
% 38.78/10.06 | (1520) c_Groups_Oplus__class_Oplus(all_0_3_3, all_0_2_2, all_0_1_1) = all_0_0_0
% 38.78/10.06 |
% 38.78/10.06 | Instantiating formula (30) with all_0_0_0, all_0_2_2, all_0_3_3, t_a, all_0_1_1 and discharging atoms c_Groups_Oplus__class_Oplus(all_0_3_3, all_0_2_2, all_0_1_1) = all_0_0_0, tc_Polynomial_Opoly(t_a) = all_0_3_3, c_Groups_Ozero__class_Ozero(all_0_3_3) = all_0_2_2, class_Groups_Ocomm__monoid__add(t_a), yields:
% 38.78/10.06 | (1521) all_0_0_0 = all_0_1_1
% 38.78/10.06 |
% 38.78/10.06 | Equations (1521) can reduce 924 to:
% 38.78/10.06 | (1522) $false
% 38.78/10.06 |
% 38.78/10.06 |-The branch is then unsatisfiable
% 38.78/10.06 % SZS output end Proof for theBenchmark
% 38.78/10.06
% 38.78/10.06 9435ms
%------------------------------------------------------------------------------